The possible outcomes are there on Ryan's first turn flipping two cards is
What are cards?The cards are 52 in number in which 13 cards are different. Each card is four in quantity.
Ryan is playing a multiplication game with a pile of 26 cards, each with a number on them.
Each turn, he flips over two of the cards and has to multiply the numbers.
The number of ways in which two cards can be selected from 26 cards, at the same time. The order of those are important.
Then, the number of possible outcomes on each flip of two cards
= 26 p(2)
= 26 x 25
=650
Thus, the possible outcomes are there on Ryan's first turn flipping two cards.
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What are the
relationships among angles that are created
when a line intersects two parallel lines?
Answer:
angles
Step-by-step explanation:
trust me
The relationship between the angles created by the intersection of 2 parallel lines are solved
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
Let the first line be represented as m
Let the second line be represented as n
Now , the lines m and n are parallel lines
And , let the transversal line be t , which intersects m and n
So , Alternate angles are equal
Corresponding angles are equal
Co-interior angles add up to 180°
Hence , the angles formed are solved
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Scores on a recent administration of the SAT were approximately normally
distributed with a mean of 980 and a standard deviation of 135. Between what 2
scores would you expect to find about 95% of all test-takers?
Blank #1
Blank #2
Answer:
25 to 3 power ÷ 3 = 69
Nora took 10 bottles of water to a picnic. Of these bottles of water, she and her friends opened a certain number of bottles, b. What expression can be used to determine the number of unopened bottles at the end of the picnic?
Answer:
10 - B = U
Step-by-step explanation:
U stands for the unopened bottles
for example if they opened 3 bottles it would be 10 - 3 = U (unopened bottles)
The value of U is 7 because the 10 bottles of water minus the 3 bottles they opened it would equal 7.
therefore the equation 10 - B = U shows the amount of unopened bottles
Convert the angle 17pi/12 radians to degrees.
Answer: 255°
Step-by-step explanation:
To convert an angle in radians to degree, we've to multiply it by 180/π. In this case, converting the angle 17pi/12 radians to degrees will be:
= 17π/12 × 180/π
= 17 × 15°
= 255°
The answer is 255°.
let x[t] be a parametric motion and denote speed v[t]=|V[t]|=√[√[t] . V[t]], where velocity is V[t]=X'[t].
The speed v[t] is always a positive value, since it's the magnitude of the velocity vector.
The velocity of the motion at time t is given by V[t] = x'[t], which is the derivative of the position function x[t] with respect to time.
To compute v[t], you take the square root of the magnitude of V[t], which is given by:
v[t] = |V[t]| = sqrt(|x'[t]|) = sqrt(sqrt[t] * |V[t]|)
Here, the square root of t is taken as a weighting factor for the velocity, which means that the speed increases with time. The speed v[t] is always a positive value, since it's the magnitude of the velocity vector.
Note that this formula assumes that the motion x[t] is differentiable, which means that the velocity V[t] is well-defined and continuous. If x[t] is not differentiable, then the velocity V[t] may not exist, and this formula wouldn't apply.T
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Emily baked 98 muffins. She divided the muffins equally among seven boxes. She gave one of the boxes to Rami Romney ate two but muffins in the box. How many muffins did romi have left?
Rami had 12 muffins left.
1. Emily baked a total of 98 muffins.
2. She divided the muffins equally among seven boxes, so each box initially had 98/7 = 14 muffins.
3. Emily gave one box to Rami.
4. Rami received a box with 14 muffins.
5. Rami ate two muffins from the box, leaving 14 - 2 = 12 muffins.
To find out how many muffins Rami had left, we start by dividing the total number of muffins Emily baked, which is 98, equally among seven boxes. Each box initially had 98/7 = 14 muffins.
One of these boxes was given to Rami, so he received a box with 14 muffins.
However, Rami then ate two muffins from the box. Subtracting the number of muffins he ate from the initial number in the box, we get 14 - 2 = 12 muffins left for Rami.
Therefore, Rami had 12 muffins left after eating two from the box given to him by Emily.
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An isosceles triangle has an angle of 70°. what are the possible values of the other two angles?
Answer:
55 and 55 or 70 and 40
Step-by-step explanation:
A triangle has 180o and an isosceles triangle has two angles that are the same. As 70 is less than half, we have a couple of possible solutions to this. So one possible solution is 70-55-55. So the other possible solution is 70-70-40.
If the two lines below are perpendicular and the slope of the red line is -7, what is the slope of the green line?
Answer:
1/7
Step-by-step explanation:
negative reciprocal
Homer told Bart that if he wanted the new video game, Bonestorm, he would have to score an 85% or higher on his next math quiz. Mrs. K gave the class a pop quiz and Bart scored 22/25. Use your skills converting a fraction to a percent and decimal and calculate whether Bart will get his new video game.
If p=3/4(x+y)d find p when x=8,y=10,d=1/2
quota sampling produces the same advantages for convenience sampling that ____ sampling produces for probability sampling.
The quota sampling produces the same advantages for convenience sampling that stratified random sampling produces for probability sampling.
Sampling:
Sampling is defined as the process in statistical analysis where researchers take a predetermined number of observations from a larger population.
Given,
Here we need to find the type of sampling that produces the same advantages for convenience sampling quota sampling.
Before, move on to the result, first we have to know the details about quota sampling and the probability sampling.
Probability sampling defined as the selection of a sample from a determined number of population, when this selection is based on the principle of randomization, that is, random selection or chance.
In contrast to probability sampling, Quota sampling means a non-probability sampling method in which researchers create a sample involving individuals that represent a population.
Based on these definition we have identified that the method that is best suitable answer for this one is stratified random sampling.
Because the stratified random sampling means, is a probability sampling technique in which the total population is divided into homogenous groups to complete the sampling process.
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I need help with number 3 and 4 please
Step-by-step explanation:
x 1 2 3 4 5 6
y 4 8 12 16 20 24
4
x 1 2 3 4 5. 6
y 2 7 12 17. 22. 27
Why can't you calculate the output for rule 6 when the input is −6? Explain.
Answer:
because:
Step-by-step explanation:
-6+6
cancel each other
different sign same basic
a subway car passes 4 stations every 10 minutes. at this rate, how many stations will it pass in 2 hours?
The subway car passes through 48 stations in 2hours
It is given that a subway car passes 4 stations every 10 mins.
Subway car is being referred to the metro system of New York city
It is known to us that an hour has 60 mins
We are given that subway car passes 4 stations every 10 mins
Therefore number of stations passed by subway car in 1 hour
= 60/10 x 4 = 24 stations
We are required to find the number of stations crossed by subway car in 2 hours
Therefore, number of stations crossed by subway car in 2 hours= 24 x 2
= 48 stations
Therefore, the subway car passes 48 stations in 2 hours
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How do I solve this..... plz help!!!! What is the answer????
Answer:
3 units
Step-by-step explanation:
DC = \(\frac{1}{3}\) EC
5x - 9 = 6 ⇒ x = 3 units
A school hires an artist to create a mural. The artist draws a model of the mural on a coordinate grid. Each unit on the grid represents one foot. The school pays the artist $20 for each square foot of the mural. How much does the school pay the artist?.
The amount which the school will pay the artist $960 based on the area of the rectangle.
The dimensions are taken from the cartesian plane on the image:
Length: 7 - 1 = 6 feet.
Width: 10 - 2 = 8 feet.
Hence the area is given by:
Area = length x width
A is equal to 6 x 8 = 48 square feet.
The artist was paid $20 per square foot, so his total remuneration is as follows:
20 x 48 = $960.
The area of a rectangle of length l and width w is calculated by multiplying the dimensions.Area is an important concept in modern mathematics.
The area is the amount of space occupied by a two-dimensional figure, form, or planar lamina in the plane. In simple terms, the area is the amount of fabric or material with a specified thickness required to make a model of the shape or the amount of paint required to cover the surface of the shape with a single layer, i.e. one coat.
It is a two-dimensional representation of a curve's length or a solid's volume, where length is a one-dimensional concept and volume is a three-dimensional related term.
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Adrienne and Suki simplified the expression –8 – (–6). Whose answer is correct? Explain where the error was made. The image is below. * 1 point Suki's; Adrienne subtracted 6 instead of subtracting –6. Suki's; Adrienne subtracted 8 instead of subtracting –8. Adrienne's; Suki added 6 instead of subtracting –6. Adrienne's; Suki added 8 instead of subtracting 8.
Answer:
The answer is -2
Step-by-step explanation:
When you subtract a negative with a negative, you change the problem to an addition by adding the negative number to a positive. -8--6 would look like -8+6.
Question 6 of 10 Classify the following triangle. Check all that apply. 1 A. Scalene B. Acute C. Equilateral D. Obtuse E. Right Fs. Isoscele
Answer:
It is scalene and acute.
Step-by-step explanation:
Since it has all acute angles, it is an acute triangle, and since none of the sides are equal or congruent, it is scalene.
how many distinct permutations can be formed using the letters of the word bookkeeper? quizlet
The word "bookkeeper" contains 10 letters in total, with the following breakdown:
'o' appears 2 times
'k' appears 2 times
'e' appears 3 times
'b' appears 1 time
'p' appears 1 time
'r' appears 1 time
To calculate the number of distinct permutations, we can apply the concept of permutations with repetition. The formula is:
N! / (n1! * n2! * n3! * ... * nk!)
Where:
N is the total number of objects (letters in this case)
n1, n2, n3, ..., nk are the frequencies of each letter (repetitions)
Plugging in the values, we have:
10! / (2! * 2! * 3! * 1! * 1! * 1!)
Simplifying further:
10! / (4 * 6 * 1 * 1)
Calculating:
(10 * 9 * 8 * 7 * 6!) / (4 * 6)
= (10 * 9 * 8 * 7) / 4
= 10 * 9 * 8 * 7 / 4
= 10 * 9 * 2 * 7
= 1,260
Therefore, there are 1,260 distinct permutations that can be formed using the letters of the word "bookkeeper."
There are 3,628,800 distinct permutations of the letters in the word "bookkeeper." The word "bookkeeper" has 10 letters in total. By calculating the number of distinct permutations, we can determine the different ways these letters can be arranged.
To find the number of distinct permutations of the word "bookkeeper," we need to consider that it has repeating letters. In this case, we have:
- 1 'b'
- 2 'o's
- 3 'k's
- 2 'e's
- 1 'p'
- 1 'r'
The total number of distinct permutations can be calculated using the formula for permutations of objects with repetition.
The formula is:
n!/ (n1! * n2! * n3! * ... * nk!)
Where n is the total number of objects and n1, n2, n3, ..., nk are the number of repetitions for each distinct object.
Applying this formula to the word "bookkeeper," we get:
10! / (1! * 2! * 3! * 2! * 1! * 1!)
Calculating this expression, we find that there are 3,628,800 distinct permutations of the letters in the word "bookkeeper." Each of these permutations represents a unique arrangement of the letters.
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Which expression is equivalent to 4(x+12)
Answer:
4(x + 12) = 4x + 48
Step-by-step explanation:
Answer:
2(2x + 6)
Step-by-step explanation:
The students in the astronomy club are selling snacks to raise money for a planetarium field trip. If they sell x muffins at $0.35 apiece and y bags of carrot sticks at $0.15 apiece, the total number of dollars raised will be T = 0.35x + 0.15y. How many dollars will they raise if they sell 210 muffins and 120 bags of carrot sticks?
Answer:
$91.5
Step-by-step explanation:
muffins: 210 carrot sticks:120
T= 0.35x + 0.15y (replace x as no. of muffins & y as no. of carrot sticks)
T= (0.35×210) + (0.15×120)
T= 73.5 + 18
T= 91.5
Which of the following is an example of the atmosphere interacting with the biosphere?
I’d say option 4
However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.
So I’d stick with option 4.
Good luck!
An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities.
P(high-quality oil) = 0.50
P(medium-quality oil) = 0.20
P(no oil) = 0.30
If required, round your answers to two decimal places.
(a) What is the probability of finding oil?
(b) After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are as follows.
P(soil | high-quality oil) = 0.20
P(soil | medium-quality oil) = 0.80
P(soil | no oil) = 0.20
How should the firm interpret the soil test? What are the revised probabilities?
Events P(Ai) P(S | Ai) P(Ai ∩ S) P(Ai | S)
High Quality (A1) Medium Quality (A2) No Oil (A3) P(S)= What is the new probability of finding oil?
a) The probability of finding oil is 0.70, or 70%.
b) The new probability of finding oil is the sum of the probabilities of finding high-quality oil and medium-quality oil, which is 1.00 or 100% .
(a) The probability of finding oil is the sum of the probabilities of finding high-quality oil and medium-quality oil, since both of these outcomes are considered positive for the oil company:
P(find oil) = P(high-quality oil) + P(medium-quality oil) = 0.50 + 0.20 = 0.70
Therefore, the probability of finding oil is 0.70, or 70%.
(b) To interpret the soil test, we can use Bayes' theorem:
P(Ai | S) = P(S | Ai) * P(Ai) / P(S)
where P(Ai | S) is the updated probability of finding oil given the soil test, P(S | Ai) is the probability of observing the soil test result given that there is oil of the corresponding quality, P(Ai) is the prior probability of finding oil of the corresponding quality, and P(S) is the probability of observing the soil test result regardless of the presence of oil.
Using the given probabilities, we can calculate:
P(S) = P(high-quality oil) * P(S | high-quality oil) + P(medium-quality oil) * P(S | medium-quality oil) + P(no oil) * P(S | no oil)
= 0.50 * 0.20 + 0.20 * 0.80 + 0.30 * 0.20
= 0.26
Now we can calculate the updated probabilities for each quality of oil:
P(high-quality oil | S) = P(S | high-quality oil) * P(high-quality oil) / P(S)
= 0.20 * 0.50 / 0.26
= 0.3846 or 0.38 (rounded to two decimal places)
P(medium-quality oil | S) = P(S | medium-quality oil) * P(medium-quality oil) / P(S)
= 0.80 * 0.20 / 0.26
= 0.6154 or 0.62 (rounded to two decimal places)
P(no oil | S) = P(S | no oil) * P(no oil) / P(S)
= 0.20 * 0.30 / 0.26
= 0.2308 or 0.23 (rounded to two decimal places)
The oil company should interpret the soil test as providing evidence for the presence of medium-quality oil, since the updated probability for this outcome is higher than the updated probability for high-quality oil. The revised probabilities for finding oil are:
P(find high-quality oil | S) = P(high-quality oil | S) = 0.38
P(find medium-quality oil | S) = P(medium-quality oil | S) = 0.62
P(find no oil | S) = P(no oil | S) = 0.23
Therefore, the new probability of finding oil is the sum of the probabilities of finding high-quality oil and medium-quality oil, which is:
P(find oil | S) = P(find high-quality oil | S) + P(find medium-quality oil | S)
= 0.38 + 0.62
= 1.00 or 100% (rounded to two decimal places)
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Find the annual growth rate of the quantity described below. The amount of water used in a community increases by 13% over a 7-year period. Round your answer to two decimal places, The annual growth rate is ---- %
To find the annual growth rate, we can use the compound interest formula: A = P(1 + r)^n
Where:
A is the final amount (in this case, the increased amount of water used)
P is the initial amount (in this case, the starting amount of water used)
r is the annual growth rate (what we're trying to find)
n is the number of years
Let's assume the initial amount of water used is 100 units. After a 7-year period, the amount of water used has increased by 13%, so the final amount (A) is 100 + (0.13 * 100) = 113.
Now, we can rearrange the formula to solve for the annual growth rate (r):
r = (A/P)^(1/n) - 1
r = (113/100)^(1/7) - 1 ≈ 0.0188
To convert this to a percentage, we multiply by 100:
r ≈ 0.0188 * 100 ≈ 1.88%
Therefore, the annual growth rate of the water usage in the community is approximately 1.88%.
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the mayor of a town has proposed a plan for the construction of an adjoining community. a political study took a sample of 800 voters in the town and found that 64% of the residents favored construction. using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 60%. determine the decision rule for rejecting the null hypothesis, h0, at the 0.10 level.
The Decision rule for rejecting the null hypothesis, Z > 1.28
What is Null Hypothesis?
The null hypothesis is a common statistical theory that asserts that no statistical link or significance exists between two sets of observed data and measured phenomena based on a single observed variable.
Given,
Sample Voters - 800
Residents Favored Construction - 64%
Percentage of residents who favour construction is more than 60%.
This is right tailed test, for α = 0.1
Critical Value Z is 1.28
Hence reject h0 if Z >1.28
Z > 1.28 is the decision rule for rejecting the null hypothesis at the 0.10 level
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please help me with these 2 questions for a brainlist !
+give explanation to answer
Answer: Option 3 is the answer hope this helps!
Step-by-step explanation: Option 3
PLS answer asap stuck on this
What percent of 24 is 18? 60 is what percent of 48? Write 1.052 as a percent.
Answer:
24 of 18 is 75%
60 of 48 is 80%
1.052 is 105.2%
Step-by-step explanation:
if you wanted to examine whether the degree of parental involvement differs based on students’ grade in school (i.e., first, second, third, etc.), what is the dependent variable of interest?
The dependent variable of interest in examining whether the degree of parental involvement differs based on students' grade in school is the degree of parental involvement.
In this scenario, the independent variable is the students' grade in school (i.e., first, second, third, etc.). The dependent variable is the variable that is expected to be influenced by the independent variable. In this case, the dependent variable of interest is the degree of parental involvement.
The degree of parental involvement refers to the level or extent to which parents are engaged in their child's education and school-related activities. It can encompass various aspects, such as attending parent-teacher meetings, volunteering at school, helping with homework, and participating in school events.
By examining whether the degree of parental involvement differs based on students' grade in school, researchers or educators aim to explore any potential patterns or differences in parental involvement as children progress through different grade levels. This investigation can provide insights into how parental involvement may vary across grade levels and inform strategies to enhance parental engagement in education at specific stages of a child's schooling. Thus, the dependent variable of interest is the degree of parental involvement.
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If given DEF≅GJH, find each missing measure
If given GHJ≅XYZ, find each missing measure
Given DEF ≅ GJH, find each missing measure: The missing measures in the triangles DEF and GJH can be found by examining the corresponding parts, such as the sides and angles, of both triangles.
If two triangles are congruent, then all their corresponding sides and angles are equal.In triangle DEF, using the correspondence with triangle GJH, it can be found that:\(DE = GJEF = JHFD = GHF\)or this reason, the missing measures in triangle DEF and triangle GJH are equal.Measure of DE = measure of GJ = 7 cmMeasure of EF = measure of JH = 4 cmMeasure of FD = measure of GH = 6 cmGiven GHJ ≅ XYZ, find each missing measure: In a similar way, the missing measures in the triangles GHJ and XYZ can be found. Using the correspondence with triangle XYZ, the missing measures in triangle GHJ can be found, and vice versa.The following are the corresponding parts of triangles GHJ and\(XYZ:GH = XYHJ = XZGJ = YZ\)
Angle GJH = angle YZX
Angle GHJ = angle XYZ
Angle HJG = angle XZY
Using the above correspondences, the missing measures in the triangles GHJ and XYZ can be found.The measure of GH = the measure of XY = 4 cm
The measure of HJ = the measure of XZ = 6 cm
The measure of GJ = the measure of YZ = 5 cm
The angle GJH = the angle YZX = 75 degrees
The angle GHJ = the angle XYZ = 30 degrees
The angle HJG = the angle XZY = 75 degrees.
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