Answer:
0.0078125
Step-by-step explanation:
Probability of tail, p = 0. 5
Probability of getting all tails from 7 tosses :
P(tail) * P(tail) * P(tail) * P(tail) * P(tail) * P(tail) * P(tail)
0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.0078125
We could also use the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - r)
n = 7 ; x = 7, p = 0.5,
P(x = 7) = 7C7 * 0.5^7 * 0.5^0 = 0.0078125
Find the redies and diameter of a circle with a circumference of 24 min
Step-by-step explanation:
I assume you mean radius.
Circumference of a circle=2πr
24=2πr(transpose for r)
r=24/2π=3.8197≈4
Diameter=2r
=2×4=8
help!! I will give brainlist...
Answer:
I think it should be x-360
Step-by-step explanation:
general angle is counter clock wise and and reference angle is clockwise!
ONLY FOR 4th QUADRANT
which of the following factors would lead the cpi to overstate the true rate of inflation.
The following factors can lead the Consumer Price Index (CPI) to overstate the true rate of inflation:
Quality Improvements: If the quality of goods and services improves over time, but their prices remain the same or increase slightly, the CPI may not fully account for these quality improvements and could overstate the inflation rate.
Substitution Bias: The CPI assumes that consumers' spending patterns remain constant over time, without considering that consumers may switch to lower-priced alternatives when the prices of certain goods or services increase. This substitution bias can lead to an overstatement of the inflation rate.
New Product Bias: The CPI may not account for the introduction of new products or services that provide better value for consumers at the same or lower prices. This omission can lead to an overstatement of the inflation rate.
Outlet Bias: The CPI is based on prices collected from a sample of outlets, and it may not accurately reflect price changes in different types of stores or online retailers. If price increases are more prevalent in outlets not adequately represented in the CPI sample, it can lead to an overstatement of the inflation rate.
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The box-and-whisker plot below represents some data set. What is the value of the
lower quartile?
48
50
52
54
56
58
60
62
Answer:
53
Step-by-step explanation:
The graph shows the relationship between the number
of cups of flour and the number of cups of sugar in
Angela's brownie recipe.
The table shows the same relationship for Jaleel's
brownie recipe.
Jaleel and Angela buy a 12-cup bag of sugar and divide
it evenly to make their recipes.
If they each use ALL of their sugar, how much FLOUR
do they each need?
Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Angela's brownie recipe.
And, The table shows the same relationship for Jaleel's brownie recipe.
Hence, The equation for Angela's brownie recipe is,
Two points on graph are (4, 2) and (2, 1)
⇒ y - 2 = (2 - 1)/ (4 - 2) (x - 4)
⇒ y - 2 = 1/2 (x - 4)
⇒ y - 2 = 1/2x - 2
⇒ y = 1/2x
And, The equation for Jaleel's brownie recipe is,
Two points on graph are (3/2, 1) and (3, 2)
⇒ y - 1 = (2 - 1)/ (3 - 3/2) (x - 4)
⇒ y - 1 = 2/3 (x - 4)
⇒ y - 1 = 2/3x - 8/3
⇒ y = 2/3x - 8/3 + 1
⇒ y = 2/3x - 5/3
So, For Jaleel and Angela buy a 12-cup bag of sugar.
The equation for Angela's brownie recipe is,
⇒ y = 1/2x
⇒ y = 1/2 × 12
⇒ y = 6
The equation for Jaleel's brownie recipe is,
⇒ y = 2/3x - 5/3
⇒ y = 2/3 × 12 - 5/3
⇒ y = 19/3
Thus, Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.
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The fifth grade students participating in the math competition will be evenly divided into teams of 3 students each. How many students could be participating?
25
21
23
26
Answer:
21
Step-by-step explanation:
We know that the total number of students has to be divisible by 3. So to solve this specific problem, you can either use a guess and check system, prior knowledge, or by using a factoring method.
If we try to divide all four answer choices evenly by 3, only 21 leaves us with a whole number. Therefore, there could be 21 students participating.
25/3 = 8.33
21/3 = 7
23/3 = 7.667
26/3 = 8.667
Rotate triangle P 90° clockwise about the point (2, -1).
Please screenshot this and send me the answers cuz I really need help :(
Answer: (2,0), (2,1), and (6,1)
Step-by-step explanation: I just used the desmos graphing calculator to find the answer to your problem. I don't know any formulas to solve it so I just rotated the points by hand. I also made sure they were still equidistant from the point (2,-1) because if their distances from other points changed during the rotation, then the triangle would not be equal to the first triangle and the image would've been distorted.
I hope this helps! Have a nice day.
LINEAR PAIR DEFENITION
Answer:
A linear pair is a pair of adjacent angles formed when two lines intersect.
Answer:
two adjacent angles that add up to 180° or two angles which when combined together form a line or a straight angle
f the number 85 is removed from a finite collection of numbers, the collection’s averagedecreases by 1.If the number 74 is removed from the remaining collection, the collection’s average does notchange.How many numbers were in the original collection?
There were 3 numbers in the original collection Let's assume the original collection has "n" numbers.According to the given information, when the number 85 is removed, the average decreases by 1.
This means that the sum of the remaining numbers in the collection is now "n-1" less than the original sum. After removing 85, the average decreases by 1, so we can write the equation: (Sum of remaining numbers) / (n-1) = (Sum of original numbers) / n - 1 = (Average before) - 1. Next, it is stated that when the number 74 is removed from the remaining collection, the average does not change. This means that the sum of the remaining numbers after removing 74 is the same as before. So, we can write the equation: (Sum of remaining numbers) / (n-2) = (Sum of original numbers) / n - 2 = (Average before) = (Average after) - 1. From these two equations, we can equate the right-hand sides since the averages are the same: (Average before) - 1 = (Average after) - 1. Average before = Average after. Simplifying the equation, we get:(Average before) = (Average before) - 1. This equation is not possible unless the term "1" on both sides cancels out. Therefore, we conclude that the original collection had only 3 numbers.
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a boat takes 3.90 hours to travel 35.0 km down a river, then 7.00 hours to return. how fast is the river flowing
The speed of the river is 5.13 km/h according to the given values of the boat.
To calculate the speed of the river, we need to use the formula:
speed = distance/timeLet's call the speed of the boat in still water "v" and the speed of the river "r".
On the way down the river, the boat is traveling with the current, so its effective speed is v + r. The distance it travels is 35.0 km, and the time it takes is 3.90 hours. Therefore, we can write:
v + r = 35.0 km / 3.90 hours = 8.97 km/hOn the way back up the river, the boat is traveling against the current, so its effective speed is v - r. The distance it travels is also 35.0 km, but the time it takes is 7.00 hours. Therefore, we can write:
v - r = 35.0 km / 7.00 hours = 5.00 km/hNow we have two equations with two unknowns (v and r), and we can solve for r by subtracting the second equation from the first:
2r = 8.97 km/h - 5.00 km/h = 3.97 km/hr = 3.97 km/h / 2 = 1.985 km/hSo the speed of the river is 1.985 km/h, or 5.13 km/h.
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consider the following hypotheses that relate to the medical field: h0: a person is free of disease. ha: a person has disease. in this instance, a type i error is often referred to as .
Type I error means rejecting the true null hypothesis and Type II error means failing to reject a false null hypothesis.
A Type I error occurs in hypothesis testing when one rejects the null hypothesis and the null hypothesis is true.
To reject the null hypothesis, statisticians conduct hypothesis testing. However, the process is always accompanied by the possibility of making a mistake. These are referred to as hypothesis testing errors.
Type I and Type II errors are the two mutually exclusive errors in hypothesis testing. Type II errors occur when a statistician fails to reject a false null hypothesis, whereas Type I errors occur when a statistician correctly rejects a genuine null hypothesis.
In the given question, type I error means rejecting the true null hypothesis i.e. h0: the person is free of disease but we conclude that the person has the disease. This is called a false positive. ha: Type II error means failing to reject a false null hypothesis.
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The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Calculate the Mean, Variance and Standard Deviation of production of cell phones. Show your work in the space provided for: a) Mean b) Variance per Day c) Standard Deviation 16 SB
The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Mean The formula for finding the mean is: mean = (sum of observations) / (number of observations).
Therefore, the mean for the daily production of cell phones is: Mean = (7+10+12+15+18+19+20) / 7
= 101 / 7
Mean = 14.43
Variance The formula for finding the variance is: Variance = (sum of the squares of the deviations) / (number of observations - 1) Where the deviation of each observation from the mean is: deviation = observation - mean First, calculate the deviation for each observation:7 - 14.43
= -7.4310 - 14.43
= -4.4312 - 14.43
= -2.4315 - 14.43
= 0.5718 - 14.43
= 3.5719 - 14.43
= 4.5720 - 14.43
= 5.57
Now, square each of these deviations: 56.25, 19.62, 5.91, 0.33, 12.75, 20.9, 30.96 The sum of these squares of deviations is: 56.25 + 19.62 + 5.91 + 0.33 + 12.75 + 20.9 + 30.96
= 147.72
Therefore, the variance for the daily production of cell phones is: Variance = 147.72 / (7-1) = 24.62 Standard deviation ) Mean = 14.43b) Variance per Day = 24.62c) Standard Deviation = 4.96
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The current unemployment rate in the country is approximately 8%. A local newspaper reports that in an SRS of 4,000 people in your city, they have a margin of error in their confidence interval of 1%. What is the confidence level that they used in their report?
Answer: The margin of error for a confidence interval depends on the sample size and the level of confidence. For a sample of 4,000 people, a margin of error of 1% implies that the sample proportion is within 1% of the true proportion with a certain level of confidence.
Let's denote the true proportion of unemployed people in the city by p. Then the margin of error can be expressed as:
z*sqrt((p(1-p))/n) = 0.01
where z* is the critical value of the standard normal distribution corresponding to the level of confidence.
Since we don't know the value of p, we'll use the worst-case scenario where p = 0.5, which gives us the maximum possible margin of error. Then we have:
z*sqrt((0.5(1-0.5))/4000) = 0.01
Simplifying and solving for z*, we get:
z* = 2.576
The critical value of 2.576 corresponds to a level of confidence of approximately 99%. Therefore, the confidence level that the newspaper used in their report is 99%.
Step-by-step explanation:
x^2-y^2-z^2 factorise
Answer:
2(x-y-z)
Step-by-step explanation:
take common fromm all of those terms
g=xc-y for x? uhm what?
Answer:
x = g+y/c
Step-by-step explanation:
g = xc - y
xc - y = g
xc = g + y
x/c = g + y/c
x = g+y/c
Determine all the values that make the equation 8x-1/6x+8=3/4 true
A rectangular garden 30 m by 40 m has two paths of equal width crossing through it as shown. Find the width of each path if the total area covered by the paths is 325 m^2
The width of the two paths is 5 m.
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0). For writing a quadratic equation in standard form, the x2 term is written first, followed by the x term, and finally, the constant term is written. The numeric values of a, b, c are generally not written as fractions or decimals but are written as integral values.
Let the width of the two paths be x.
Thus, the total area covered by the paths is = (30×x) + (40×x) - x²
The total area covered by the paths is 325 m².
Equate both of them.
⇒ (30×x) + (40×x) - x² = 325
⇒ 30x + 40x - x² = 325
⇒ x² -70x + 325 = 0
Solving the above equation, we get
x = 65 or x = 5
The valid solution is x = 5.
Thus, the width of the two paths is 5 m.
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In Tallahassee, Florida, CR 373 intersects non-parallel streets CR 363 and Monroe Street. Which locations/structures represent consecutive (same side) interior angles? Select all that apply.
Fast Food 2 and the Park
the Lake and the Post Office
the Apartments and Fast Food 1
Fast Food 2 and the Grocery Store
the Apartments and the Post Office
the Big Box Store and the Grocery Store
Answer:
Option (3)
Step-by-step explanation:
Option (1)
Fast food 2 and the Park → Consecutive exterior angles
Option (2)
The lake and the Post office→ Consecutive exterior angles
Option (3)
The Apartments and Fast food 1 → Consecutive interior angles
Option (4)
Fast food 2 and the Grocery store → Linear pair of angles
Option (5)
The Apartments and the Post office → Linear pair of angles
Option (6)
The Big Box Store and the Grocery Store → Consecutive interior angles
Therefore, Option (3) and Option (6) will be the correct options.
= #14 i
PRECISION Figures A and B are similar. Figure A has a
perimeter of 72 meters and one of the side lengths is 18
meters. Figure B has a perimeter of 120 meters. Find the
missing corresponding side length.
The missing corresponding side length is
Previous
meters.
Next
The missing corresponding side length of figure B is 30 meter.
What is an equation?An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.
Two figures are said to be similar if the ratio of their corresponding sides are in the same proportion.
Figures A and B are similar. Figure A has a perimeter of 72 meters and one of the side lengths is 18 meters. Figure B has a perimeter of 120 meters. Find the missing corresponding side length.
Let x represent the missing side length. Hence:
Scale factor = figure B perimeter / figure A perimeter = 120/72
Hence:
scale factor = figure B side length / figure A side length
substituting:
120/72 = x / 18
x = 30 meter
The missing side length is 30 meter.
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Guess the car
Hint**Uncommon**
Using google image search wont work lol ;)
Answer:
It is a Cadillac Eldorado 1955
Step-by-step explanation:
Plz mark Brainliest
Answer:
1955 DeSoto Firedome Convertible Coupe
Step-by-step explanation:
my dad used to have that car lol
a function is a relation in which each possible input value leads to exactly one output value. the input values make up the range and the output values make up the domain
A relation between sets is referred to as a function when there is exactly one output for each input.
Which statement is true?A function is a relation where each output value is assigned to exactly one input value.The domain of a function is the set of all output values, or y-values, for which the function is defined.The range of a function is the set of all input values, or x-values, for which the function is defined.To write the equation y = ax + b in function notation, substitute f(x) for y.?To write the equation y = ax + b in function notation, substitute f(x) for y
The only true statement is the last one. A function assigns exactly one output value to each input value. The domain is the set of all input, or x-values. The range is the set of all output, or y-values.
y=ax+b can be written in function notation by replacing y with f(x).
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someone text me on sc queenalyssa_05
Lucie spent 1/4 hour shooting baskets. She made 15 baskets durning that time. How many baskets would she make in 3 1/2 hours?
Answer:
15*4=60;60*3.5=210
Step-by-step explanation:
60 is the number of baskets Lucy makes in an hour,210 is her 3.5 hours of baskets
Answer:
answer is 1/4 × 3 1/2 =
3 1/8
help me!!!!!!! please please please
Answer:
y and 65 is equal
y= 65°
....................
Using the graphical method, solve the simultaneous equations: x + y = 3, 3x + y = 5
Answer: (1,2)
Step-by-step explanation:
1)
x+y=3
y=-x+3
x | 0 | 3 |
y | 3 | 0 |
2)
3x+y=5
y=-3x+5
x | 0 | 2 |
y | 5 | -1 |
Vocabulary
1 central tendency movement in a particular direction
2. extreme values the smallest and largest values in a data set
3. mean the sum of a set of data divided by the number of items in the set
4. median the middle value of a set of data arranged in numerical order
5. mode the most frequently occurring number(s) in a data set
6. range the difference between the largest and smallest data points
Match the terms to their definition.
A. mean
B. range
C. median
D. mode
E. extreme values
F. central tendency
Answer:
mean=3
range=6
median=4
mode=5
extreme value=2
central tendency=1
may I get brainliest
What scale factor is required to dilate triangle abc to make it congruent to triangle efd
Answer:
And so, in fact, we can perform a series of similarity transformations that map to . And so, the answer is yes, triangle would need to be dilated by a scale factor of three, rotated, and then reflected.
Step-by-step explanation:
how many such alarms should be used to be 99% certain that a burglar trying to enter is detected by at least one alarm?
Hence, Six ( 6 ) alarms are used to certain that a burglar is trying to enter and get detected by at least one alarm.
Given;
There are many automatic burglar alarms in a sizable bank vault.
The likelihood that a burglar will be discovered by a single alarm is 0.55.
We need to get;
How many of these alarms should be installed to be 99% confident that at least one alert will detect a thief attempting to enter
The probability of one alarm has a likelihood of failing to detect a burglar is
1 - 0.55 = 0.45
Let's say there are ' n ' alerts.
The likelihood that not one of the ' n ' alarms will sound is 0.45ⁿ.
The likelihood that at least one of the alarms catches the intruder is then just 1 - 0.45ⁿ.
This probability should be 99%, as desired.
In other words, if we solve for n and get
1 - 0.45ⁿ = 0.99
n = 5.76
n ≅ 6
Therefore, 6 alarms were utilized.
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Twenty less than a number is at least 15
Answer:
what??
Step-by-step explanation:
Answer:
n - 20 ≥ 15
n ≥ 35
Step-by-step explanation:
a number could be greater than or equal to 35 and be a solution
may not convert these predicates to variables (no ∀x∈D,p→q - use the same words that are already in the statement): ∀n∈Z, if n 2
−2n−15>0, then n>5 or n<−3. A. State the negation of the given statement. B. State the contraposition of the given statement. C. State the converse of the given statement. D. State the inverse of the given statement. E. Which statements in A.-D. are logically equivalent? You may give the name(s) or letter(s) of the statements.
A predicate is a statement or a proposition that contains variables and becomes a proposition when specific values are assigned to those variables. Variables, on the other hand, are symbols that represent unspecified or arbitrary elements within a statement or equation. They are placeholders that can take on different values.
Given, For all n in Z, if n2 - 2n - 15 > 0, then n > 5 or n < -3. We are required to answer the following: State the negation of the given statement. State the contraposition of the given statement. State the converse of the given statement. State the inverse of the given statement. Which statements in A.-D. are logically equivalent? Negation of the given statement:∃ n ∈ Z, n2 - 2n - 15 ≤ 0 and n > 5 or n < -3
Contrapositive of the given statement: For all n in Z, if n ≤ 5 and n ≥ -3, then n2 - 2n - 15 ≤ 0 Converse of the given statement: For all n in Z, if n > 5 or n < -3, then n2 - 2n - 15 > 0 Inverse of the given statement: For all n in Z, if n2 - 2n - 15 ≤ 0, then n ≤ 5 or n ≥ -3. From the given statements, we can conclude that the contrapositive and inverse statements are logically equivalent. Therefore, statements B and D are logically equivalent.
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