Find the values of x and y, given this diagram.
Answers
Answer:
Step-by-step explanation:
Related Questions
Let ∠1 , ∠2 , ∠3 , and ∠4 have the following relationships. ∠1 and ∠2 are vertical angles. ∠3 and ∠4 are right vertical angles. ∠3 is adjacent to both ∠1 and ∠2 . What is the sum of the measure of ∠4 and the measure of ∠1 minus the measure of ∠2 ?
Answers
Answer:
Since ∠1 and ∠2 are vertical angles, they have equal measure. And since ∠3 and ∠4 are right vertical angles, they have measure 90° each.
Since ∠3 is adjacent to both ∠1 and ∠2, we can say that:
∠1 + ∠3 = 180°
∠2 + ∠3 = 180°
Adding these two equations together:
∠1 + ∠2 + 2∠3 = 360°
Substituting the values we have:
∠1 + ∠2 + 2(90°) = 360°
∠1 + ∠2 + 180° = 360°
Solving for ∠1 + ∠2:
∠1 + ∠2 = 180° - 180° = 0°
Finally, the sum of the measure of ∠4 and the measure of ∠1 minus the measure of ∠2 is:
∠4 + (∠1 - ∠2) = 90° + (∠1 - 0°) = 90° + ∠1
So the answer is 90° + ∠1.
The sequence below represents Marisa’s fine at the library for each day that she has an overdue book:
$0.50, $0.65, $0.80, $0.95, $1.10, ...
Which equation represents Marisa’s library fine as a function of a book that is n days overdue?
Answers
Answer:
x + $0.15
Explanation:
If you see well $0.15 + $0.50 = $0.65
and then $0.65 + $0.15 = $0.80
Answer:
f(n) = 0.15n + 0.35
Step-by-step explanation:
Helpful conversions: 1 acre =43,560 square feet 1 hectare =10,000 square meters 1lb=454 grams 1 kg=2.2lbs=1000grams 1. Scouting for cover crop establishment in the field requires conversion of your massbased seeding rate (e.g., lbs/acre) to a population-based establishment rate (e.g., plants/f? ). Let's practice doing that. Convert the following seeding rates: a. Cereal rye - 60 ibs/acre = H seeds/square foot b. Crimson clover −15 kg/ha= H seeds/square meter 2. Convert the following population-based seeding rates to mass-based seeding rates. a. Oats −30 plants/square foot = Ibs seedlacre b. Hairy vetch −20 plants/square meter = kg seedsha 3. Your farm manager wants you to drill crimson clover seed, but the seed hasn't arrived yet and you don't know if it's coated or not. If the seed is not coated, the seeding rate is 20 blacre. Will you need to increase or decrease your seeding rate if the seed is coated?
Answers
Coating the seed typically improves seed quality and germination rates, so the same seeding rate can be maintained even with coated seed.
To convert mass-based seeding rates to population-based establishment rates, we need to consider the area conversion factors provided:
a. Given a seeding rate of 60 lbs/acre for cereal rye, we can convert it to seeds per square foot by using the conversion factor of 1 acre = 43,560 square feet.
b. Given a seeding rate of 15 kg/ha for crimson clover, we can convert it to seeds per square meter using the conversion factor of 1 hectare = 10,000 square meters.
To convert population-based seeding rates to mass-based seeding rates, we can use the given area conversion factors:
a. Given a seeding rate of 30 plants/square foot for oats, we can convert it to pounds of seed per acre.
b. Given a seeding rate of 20 plants/square meter for hairy vetch, we can convert it to kilograms of seed per hectare.
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a fair 6 -sided die is rolled 10 times and the resulting sequence of 10 numbers is recorded. how many different sequences are possible?
Answers
There are 60,466,176 different sequences that are possible.
Permutation represents a method of arranging things in order. In a fair 6-sided die rolled 10 times and the resulting sequence of 10 numbers is recorded, the different possible sequences are calculated as shown below:
When rolling a die, the possible outcomes are 1, 2, 3, 4, 5, and 6. As there are ten rolls, each roll has six possible outcomes. Thus, the total number of different sequences will be calculated as follows:6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 = 60,466,176. Therefore, there are 60,466,176 different sequences that are possible.
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Given the definitions of f(x) and g(x) below, find the value of (g•x)(1).
=
f(x) = 3x2 + 2x - 3
g(x) = -x + 4
Answers
Step-by-step explanation:
f(x) = 3x2+2x-3
g(x) = -x+4
(g.f)(x) = g[3x2+2x-3]
= -(3x2+2x-3)+4
= -3x2-2x+3
(g.f)(1) = -3(1)2-2(1)+3
= -3-2+3
= -2
is a number's distance from zero on a number line.
Answers
Answer:
The absolute value.
Step-by-step explanation:
Answer:
The absolute value
Step-by-step explanation:
The absolute value removes the negative sign and gives the distance from zero to the number
How many different 10-letter words (real or imaginary) can be formed from the following letters? E, B: O, J, 0: P: B, V, I, T ten-letter words (real or imaginary) can be formed with the given letters. (Type a whole number.)
Answers
The answer is 10,077,696,000 different 10-letter words that can be formed using these letters.
How we find the different 10-letter word?To find the number of different 10-letter words that can be formed using the given letters, we can use the formula for permutations with repetition:
n^rwhere n is the number of distinct objects (letters in this case), and r is the number of positions (10 in this case).
we can calculate the number of different 10-letter words as follows:
Number of different 10-letter words = (2 + 3 + 1 + 4)^10Number of different 10-letter words = 10,077,696,000The formula states that the number of permutations with repetition of n distinct objects in r positions is equal to n^r. In this case, we have 2 distinct objects for the first set of letters (E and B), 3 for the second set (O, J, and 0), 1 for the third set (P), and 4 for the fourth set (B, V, I, and T).
we have a total of 2 + 3 + 1 + 4 = 10 distinct objects to choose from, and we need to fill 10 positions.
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The breaking strengths of a random sample of 20 bundles of wool fibers have a sample mean 436.5 and a sample standard deviation 11.9. (a) Construct 90%, 95%, and 99% confidence intervals for the average breaking strength of the wool fibers. (b) Compare the widths of the three confidence intervals. At which level of confidence do you have the widest interval
Answers
(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].
(b) The 99% confidence interval has the widest interval.
(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:
Confidence interval = sample mean ± (critical value * standard error)
The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.
Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.
Plugging in the values, we can calculate the confidence intervals:
90% confidence interval:
Lower bound = 436.5 - (1.645 * (11.9 / √20))
Upper bound = 436.5 + (1.645 * (11.9 / √20))
95% confidence interval:
Lower bound = 436.5 - (1.96 * (11.9 / √20))
Upper bound = 436.5 + (1.96 * (11.9 / √20))
99% confidence interval:
Lower bound = 436.5 - (2.576 * (11.9 / √20))
Upper bound = 436.5 + (2.576 * (11.9 / √20))
(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.
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Which issue is least likely arise in machine learning (ml) and artificial intelligence (ai)?
Answers
The issue of too many proficient business-savvy programmers is least likely to arise in machine learning(ml) and artificial intelligence(ai).
What is machine learning?
The process by which computers learn to recognize patterns, or the capacity to continuously learn from and make predictions based on data, then make adjustments without being specifically programmed to do so, is known as machine learning (ML), a subcategory of artificial intelligence.
The operation of machine learning is quite complicated and varies according to the task at hand and the algorithm employed to do it. However, at its foundation, a machine learning model is a computer that analyzes data to spot patterns before using those realizations to better fulfill the work that has been given to it. Machine learning can automate any task that depends on a set of data points or rules, even the more difficult ones.
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Which equation describes a line that contains the point (4, -3) and is perpendicular to the line represented by the equation y=25x+3 ?.
Answers
The equation describes a line that contains the point (4, -3) is y = ( -1/25 )x - 71/25 .
Given :
The point (4, -3) and is perpendicular to the line represented by the equation y = 25x +3 .
Here slope m = 25
Perpendicular slope = -1 / m
= -1 / 25
The line equation is y = mx + c
Substitute m and ( 4 , -3 ) we get
-3 = -1/25 * 4 + c
-75 = -4 + 25c
-71 = 25c
c = -71/25
y = mx + c
y = ( -1/25 )x - 71/25
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Suppose you have an outdoor vegetable garden with dimensions 2 mx2 m. A storm lasting 1 hr delivers 0.8 inches of rain. a. What is the storm rainfall flux? Express your answer using each of the following units: m 2
hr
kgliquid water m 2
hr
lb liquid water m 2
hr
liters liquid water m 2
hr
gallons liquid water b. How much liquid water fell on your garden? Express your answer using each of the following units:
Answers
The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.
Dimensions of outdoor vegetable garden = 2 m × 2 m
Storm rainfall = 0.8 inches of rain
Time of storm = 1 hr(
a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:
Rainfall flux = (Amount of rainfall) / (Area × Time)
Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:
Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)
Converting inches to meters, we get:
1 inch = 0.0254 m
Therefore,
Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr
Converting the rainfall flux to other units:
In kg/hr:
1 kg of water = 1000 g of water
Density of water = 1000 kg/m3
So, 1 m3 of water = 1000 kg of water
So, 1 m2 of water of depth 1 m = 1000 kg of water
Therefore, 1 m2 of water of depth 1 mm = 1 kg of water
Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr
In lbs/hr:
1 lb of water = 453.592 g of water
So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr
In liters/hr:
1 m3 of water = 1000 L of water
So, 1 m2 of water of depth 1 mm = 1 L of water
Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr
In gallons/hr:
1 gallon = 3.78541 L
So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr
(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.
Volume = Area × Depth.
The area of the garden is 2 m × 2 m.
We need to convert the rainfall amount to meters.
1 inch = 0.0254 m
Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m
Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3
Converting the volume to other units:
In liters:
1 m3 of water = 1000 L of water
Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L
In gallons:
1 gallon = 3.78541 L
Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.
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What is the measure of ZRVE?
60°
7
8
mer
R
Answers
Answer:
45 degrees
Step-by-step explanation:
180 - 60 - 75 = 45
Angle RVE is the same as angle LVA
Answer:
this might help you....
in developing patient appointment schedules, a medical center wants to estimate the mean time that a staff member spends with each patient. use a planning value for the population standard deviation of seven minutes. (round your answers up to the nearest integer.) how large a sample should be taken if the desired margin of error is two minutes at a 95% level of confidence?
Answers
A sample should be 47 to be taken if the desired margin of error is two minutes at a 95% level of confidence
Given information:
A medical facility wants to determine the average amount of time each patient spends with a staff member while creating patient appointment schedules. utilize a planned value of seven minutes for the population's standard deviation.
б=7, ME=2
95% Confidence (to the nearest whole number):
For 95% confidence interval z-critical value is z_{c}=1.96. So
n = (z * б /ME )² = (1.96* 7/ 2)= 47.05
The Requried sample size is 47
If the acceptable margin of error is two minutes at a 95% level of confidence, then a sample of 47 should be taken.
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(L1) What statement in the Converse of the Angle Bisector Theorem tells you that the point must be in the same plane as the angle?
Answers
The Converse of the Angle Bisector Theorem states that if a point is in the same plane as an angle and divides the angle into two congruent angles, then it lies on the angle's bisector.
The fact that the converse states that the point must be in the same plane as the angle implies that if the point is not in the same plane as the angle, then it cannot divide the angle into two congruent angles, and thus cannot lie on the angle's bisector.
The Angle Bisector Theorem states that if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides of the triangle. The converse of this theorem states that if a point on the interior of a triangle divides one side of the triangle into two segments that are proportional to the other two sides, then the point lies on the bisector of the angle opposite the divided side.
To understand why this implies that the point must be in the same plane as the angle, we need to consider the definition of a plane. A plane is a flat, two-dimensional surface that extends infinitely in all directions.
It is determined by any three non-collinear points in space. In the context of a triangle, the three vertices of the triangle are non-collinear points that determine a plane.
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The number of points scored by the bears, eagles, and cowboys last weekend was three consecutive odd numbers. the bears scored the least number of points and the cowboys scored the most. if the product of the points scored by the bears and cowboys was 37 more than the 8 times the sum of the points scored by the eagles and cowboys, how many points did the eagles score?
A) 13 points
B) 15 points
C) 17 points
D) 19 points
E) 21 points
Please show solution
Answers
Answer: The Philadelphia Eagles tried to blow a 19-point lead to the Chicago Bears, but managed to hold on for a 22-14 victory in a rematch of the NFC Wild Card Game to move to 5-4 on the year. Philadelphia allowed the Bears to score 14 unanswered points after taking a 19-0 lead in the third quarter, but put together one of their most impressive drives of the season in taking 8:14 off the clock in the fourth quarter, converting four consecutive third downs in the most critical junction of the game.
Chicago never got the ball back after Jake Elliott hit a 38-yard field goal with 26 seconds left to make it 22-14. Bears tight end Adam Shaheen muffed the catch on the kickoff and the Eagles recovered to deny Chicago a last ditch effort for a Hail Mary and an attempt to tie the game with a two-point conversion.
Jordan Howard scored a touchdown in his first game against his former team, finishing with 19 carries for 82 yards and a touchdown. Zach Ertz had his best game of the season as the Eagles tight end had nine catches for 103 yards and a touchdown, a 25-yard catch for his second score of 2019.
The Bears had just nine total yards in the first half, but rallied back in this game with two scoring drives in three possessions between the third and fourth quarter. Chicago's offense had no turnovers, but finished with just 164 yards of offense. Mitchell Trubisky went 10 of 21 for 125 yards with no touchdowns and a 66.6 passer rating. The Bears have lost their fourth consecutive game after a 3-1 start to the season, falling to 3-5 and remaining in last place in the NFC North.
Step-by-step explanation:
The number of points scored by the eagles is 19 points.
Suppose the points scored by the bears, eagles, and cowboys are x, x+2, x+4 respectively.
It is given the product of the points scored by the bears and cowboys was 37 more than the 8 times the sum of the points scored by the eagles and cowboys.
This means, x(x+4) =37+8(x+2+x+4)
x(x+4) =37+8(2x+6)
\(x^{2} +4x = 37+16x+48\)
\(x^{2} -12x-85=0\), which is a quadratic equation.
What is a quadratic equation?Any equation in the form \(ax^{2} +bx+c=0\) is called a quadratic equation where \(a\neq 0\).
\(x^{2} -17x+5x-85=0\)
\(x(x-17)+5(x-17)=0\)
\((x-17)(x+5)=0\)
\(x=17\)
So, eagles scored x+2 = 17+2 =19 points.
Therefore, The number of points scored by the eagles is 19 points.
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a juice company gives prizes to anyone finding specially marked caps on its bottles. you and your friends buy 56 bottles of juice. you find 2 of the bottles have a winning cap. what is the experimental probability of winning a prize in the contest? express your answer as a fraction in simplest form.
Answers
The experimental probability of winning a prize in the contest is 1/28 or approximately 0.0357.
To calculate the experimental probability of winning a prize in the contest, we need to divide the number of winning caps found by the total number of caps examined.
Here are the steps to follow:
Calculate the total number of caps examined:
Total number of bottles bought x Number of caps per bottle = Total number of caps examined
56 bottles x 1 cap per bottle = 56 caps examined
Calculate the number of winning caps found:
Given: 2 winning caps were found
Calculate the experimental probability of winning a prize:
Experimental probability = Number of winning caps found / Total number of caps examined
Experimental probability = 2 / 56
Experimental probability = 1 / 28
Explanation: Out of 56 caps examined, only 2 were found to be winning caps. Therefore, the probability of finding a winning cap is 2/56, which can be simplified to 1/28. This means that on average, for every 28 caps examined, one is expected to be a winning cap.
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Kim Falgout owes $810.00 on her credit card account. She returns two items costing $37.66 and $120.00 and receives credits for these on the account. Next, she makes a purchase of $86.50, and then two more purchases of $10.00 each. She makes a payment of $500.00. She then incurs a finance charge of $35.22. How much does she still owe?
Answers
Therefore, Kim still owes $294.06 on her credit card account.
What is addition?Addition is a basic mathematical operation that combines two or more numbers or quantities to give a total or a sum. In other words, it is the process of finding the total when two or more values are combined. It is denoted by the plus symbol (+). For example, in the expression 5 + 3, 5 and 3 are the addends, and the sum or total is 8. Addition is one of the four basic arithmetic operations, the others being subtraction, multiplication, and division. It is widely used in many areas of mathematics, as well as in everyday life situations such as counting objects or adding up a shopping bill.
Here,
Starting balance on the credit card account = $810.00
Return 1: $37.66
Return 2: $120.00
Total credits from returns = $37.66 + $120.00 = $157.66
Adjusted balance after returns = Starting balance - Total credits from returns
Adjusted balance after returns = $810.00 - $157.66 = $652.34
Purchase 1: $86.50
Purchase 2: $10.00
Purchase 3: $10.00
Total purchases = $86.50 + $10.00 + $10.00 = $106.50
Adjusted balance after purchases = Adjusted balance after returns + Total purchases
Adjusted balance after purchases = $652.34 + $106.50 = $758.84
Payment = $500.00
Adjusted balance after payment = Adjusted balance after purchases - Payment
Adjusted balance after payment = $758.84 - $500.00 = $258.84
Finance charge = $35.22
Total amount owed = Adjusted balance after payment + Finance charge
Total amount owed = $258.84 + $35.22 = $294.06
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For each type of effect listedâmain effects, two-way interactions, and three-way interactionsâidentify the maximum number of possible effects that could be tested in a 2 Ã 2 Ã 2 factorial design. - 3 main effects- 1 three- way interaction- 3 two-way interactions
Answers
The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.
In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:
There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.
Two-way interactions:
There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.
These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:
There is 1 possible three-way interaction that can be tested in this design: AxBxC.
This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.
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In a weighted grading system, students are graded on quizzes, tests, and a project, each with a different weight. Matrix W represents the weights for each kind of work, and matrix G represents the grades for two students, Felipe and Helena.
Q T P
W = [0.40 0.50 0.10] Felipe Helena
G= Q {80 70}
T {60 80}
p { 90 60}
Final grades are represented in a matrix F. If F = WG, what is F?
A. [7174]
B. [7174]
C. [7471]
D. [7471]
Answers
For Felipe and Helena's final grades, the solution is option C, [74 71].
How to calculate final grades?Using the given values for Q, T, and P weights and Felipe and Helena's grades, calculate their final grades as follows:
Felipe's final grade:
0.40 x 80 + 0.50 x 60 + 0.10 x 90 = 32 + 30 + 9 = 71
Helena's final grade:
0.40 x 70 + 0.50 x 80 + 0.10 x 60 = 28 + 40 + 6 = 74
To represent the final grades for Felipe and Helena in a matrix F, given formula F = WG, where W = matrix of weights and G = matrix of grades:
[0.40 0.50 0.10] [80 70]
F = WG = [0.40 0.50 0.10] x [60 80]
[0.40 0.50 0.10] [90 60]
Performing matrix multiplication:
[32 + 30 + 9 28 + 40 + 6]
F = WG = [32 + 40 + 6 28 + 40 + 3]
[36 + 25 + 6 36 + 20 + 3]
Simplifying:
[71 74]
F = WG = [78 71]
[67 59]
Therefore, [74 71] for Felipe and Helena's final grades, respectively.
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1-Increasing N, increases the real effect of the independent variable.
Select one:
True
False ?
2-If H0 is false, a high level of power increases the probability we will reject it.
Select one:
True
False
3-Which of the following most clearly differentiates a factorial ANOVA from a simple ANOVA?
Select one:
a.An interaction effect
b.Two main effects
c.Two independent variables
d.All of the above
Answers
1-Increasing N, increases the real effect of the independent variable.
=> False.
2-If H0 is false, a high level of power increases the probability we will reject it. => True.
3-Which of the following most clearly differentiates a factorial ANOVA from a simple ANOVA.
=> An interaction effect, Two main effects, Two independent variables.
Here, we have,
given that,
1-Increasing N, increases the real effect of the independent variable.
2-If H0 is false, a high level of power increases the probability we will reject it.
3-Which of the following most clearly differentiates a factorial ANOVA from a simple ANOVA.
now, we know that,
A real effect of the independent variable is defined as any effect that produces a change in the dependent variable.
Increasing N affects the magnitude of the effect of the independent variable. Using sample data, it is impossible to prove with certainty that H0 is true. Generally speaking, if the sampling distribution of a statistic is indeterminate (impossible to determine), the statistic cannot be used for inference.
As the sample size increases, the probability of a Type II error (given a false null hypothesis) decreases, but the maximum probability of a Type Ierror (given a true null hypothesis) remains alpha by definition.
The probability of committing a type II error is equal to one minus the power of the test, also known as beta. The power of the test could be increased by increasing the sample size, which decreases the risk of committing a type II error.
The independent variable (IV) is the characteristic of a psychology experiment that is manipulated or changed by researchers, not by other variables in the experiment.For example, in an experiment looking at the effects of studying on test scores, studying would be the independent variable. Researchers are trying to determine if changes to the independent variable (studying) result in significant changes to the dependent variable (the test results).
so, we get,
1. False
2. True
3. d. All of the above.
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1) Jan is buying new flooring for her kitchen. The kitchen is a rectangle that is 3
meters long and 2 meters wide. How much flooring does Jan need to buy?
Answers
Answer:
6 meters of Flooring.
Step-by-step explanation:
I could be wrong but I’m pretty sure this question is Length x Width to find the Area of the “Room” or “Triangle.”. <3
Consider the diagram and proof by contradiction.
Given: △ABC with ∠B ≅ ∠C
Prove: AB ≅ AC
Triangle A B C is shown. Angles A B C and B C A are congruent.
Which would prove that AB ≅ AC?
converse of the isosceles triangle theorem
substitution
definition of congruency
converse of the triangle parts relationship theorem
Answers
Answer: converse of the isosceles triangle theorem
Step-by-step explanation:
Answer:
converse of the isosceles triangle theorem
Step-by-step explanation:
Took the test
Jane eats 2/3 of a cup of cereal for breakfast every day. If the box contains a total of 24 cups, how many days will i take to finish the cereal box? Show your work.
Answers
24*3/2= 36
please help me and explain pls
Answers
Answer:
B $3.00
Step-by-step explanation:
We need to estimate a little. We are trying to find the slope. We need two points. The one point that is clear is (4,15) I would estimate the other points to be (0,3) The slope is the change in y over the change in x
the y values from the two points are 15 and 3. The x values are 4 and 0
\(\frac{15-3}{4-0}\) = \(\frac{12}{4}\) = 3
WILL GIVE 60 POINTS IF RIGHT
square abcd has vertices at: a(-7,1) b(-3,5) c(1,1) and d(-3,-3). What is the length of the diagonals?
If answer is wrong i will report it wrong
Answers
Answer:
8 unitsStep-by-step explanation:
Find the distance between A(-7, 1) and C(1, 1), since the y-coordinates are same, the distance is the difference of x- coordinates:
d = 1 - (-7) = 1 + 7 = 8 units
AC and BD are diagonals both are same
\(\\ \sf\longmapsto AC=\sqrt{1+8)^2+(1-1)^2}\)
\(\\ \sf\longmapsto AC=\sqrt{8^2+0^2}\)
\(\\ \sf\longmapsto AC=\sqrt{64}\)
\(\\ \sf\longmapsto AC={8}units\)
I’m circle Y, what is m
Answers
In circle Y, the measure of m∠SZT is equal to: B. 94°.
What is a chord of circle?In Mathematics, a chord of circle can be defined as a line segment that typically join any two (2) points of a circle.
Generally speaking, the inscribed angle of a circle is equal to half of the central angle of a circle. Mathematically, this is given by this mathematical expression:
m∠STR = 1/2(SYR)
m∠STR = 1/2(50)
m∠STR = 50°.
m∠TSU = 1/2(TYU)
m∠TSU = 1/2(72)
m∠TSU = 36°.
For m∠SZT, we have the following:
m∠SZT = 180° - (m∠STR + m∠TSU)
m∠SZT = 180° - (50 + 36)
m∠SZT = 180° - 84°
m∠SZT = 94°
Read more on intersecting chords here: https://brainly.com/question/27251228
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Assume that the probability a child is a boy is 0.51 and that the sexes of children born into family are independent. What is the probability that a family of five children hasa. exactly three boys?b. all girls?c. at least one girl?
Answers
a) Probability of exactly three boys is 0.3185
b) Probability of at least one boy is 0.9717
c) Probability of at least one girl is 0.9655
d) Probability of all of same sex is 0.06275
What is probability?
Probability refers to potential. A random event's occurrence or the outcome is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.The potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.a) Probability of exactly three boys
Choose 3 out of 5 in C(5,3)=10 ways
So probability is:10*0.51^3*0.49^2
~0.3185
(b) Probability of at least one boy
p(at least one boy)=1-p( all girls)
=1-0.49^5
=0.9717
c) Probability of at least one girl
p(at least one girl)=1-p( all boys)
=1-0.51^5
=0.9655
d) Probability of all of same sex
p(all of same sex)=p(all boys)+p(all girls)=
0.51^5+0.49^5
=0.06275
To know more about probability check the below link:
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34. The number of songs that an MP3 player can
store varies inversely with the average size of the
song. A certain MP3 player can store 800 songs
with an average size of 4 megabytes. If the
average size of a song is 5 megabytes, how many
songs can the player store?
Answers
Answer:
Step-by-step explanation:
640
use the product, quotient, and power rules of logarithms to rewrite the equation as a single logarithm.
Answers
We are given the following expression:
\(\log a-3\log b+4\log c\)we are asked to simplify this expression. To do that we will first use the following property:
\(a\log b=\log ^{}b^a\)we will apply this to the second and third terms, like this:
\(\log a-\log b^3+\log c^4\)Now we will use the following property:
\(\log a-\log b=\log (\frac{a}{b})\)we will use this property for the first and second terms:
\(\log (\frac{a}{b^3})+\log c^4\)Now we will use the following property:
\(\log a+\log b=\log ab\)We will use the property in the last two terms, like this:
\(\log (\frac{ac^4}{b^3})\)And thus, we have simplified the logarithmic expression into one single logarithm
What is the slope of the line shown?
A. slope = 3
B. slope = 1/2
C. slope = 2
D. slope = -3
Answers
Answer:
The answer is B - 1/2.
Step-by-step explanation:
Rise over run tells you the slope. You take two points (in this it's (0,-3) and (6,0)) and you see how many units it takes to be on the same y line as the other point. Then you do the same for the x line. You divide the rise (y line) by the run (x line) and that's your slope.