Recycling Do most teens recycle? To find out, an AP Statistics class asked an SRS of 100 students at their school whether they regularly recycle. How many students in the sample would need to say Yes to provide convincing evidence that more than half of the students at the school recycle? The Fathom dotplot below shows the results of taking 200 SRSs of 100 students from a population in which the true proportion who recycle is 0.50. (a) Suppose 55 students in the class’s sample say Yes. Explain why this result does not give convincing evidence that more than half of the school’s students recycle. (b) Suppose 63 students in the class’s sample say Yes. Explain why this result gives strong evidence that a majority of the school’s students recycle.

Answers

Answer 1

Suppose if 55 students in the class’s sample say Yes so, there is not sufficient evidence that more than half of the school student recycle.

and Suppose 63 students in the class’s sample say Yes so, there is sufficient evidence that more than half or majority school student recycle.

A.)

According to given data Suppose 55 students in the class’s sample.

n = 100 and x = 55

⇒ p = [tex]\frac{55}{100}[/tex] = 0.55

hence p' = 0.50

so, p > 0.50

Z = [tex]\frac{p-p'}{\sqrt{} \frac{p'(1-p')}{n} }[/tex]

Z = [tex]\frac{0.55-0.50}{\sqrt{} \frac{0.50(1-0.50)}{100} }[/tex]

so, Z = 1

let level of significance α = 0.05

critical Z value at α = 0.05 for one tail test is 1.645

since Z = 1 < z' = 1.645

do not reject at α = 0.05

there is not sufficient evidence that more than half of the school student recycle.

B.)

According to given data Suppose 63 students in the class’s

given data,

X = 63 and n = 100

now P = 63/100 = 0.63

Z = [tex]\frac{0.63-0.50}{\sqrt{} \frac{0.50(1-0.50)}{100} }[/tex] = 2.6

since, Z = 2.6 > Z' = 1.645

⇒ reject at  α = 0.05

there is sufficient evidence that more than half or majority school student recycle.

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Related Questions

g consider a disk queue holding requests to the following cylinders in the listed order: 94, 169, 39, 135, 22, 133, 69, 65. using each of the following scheduling algorithms, what is the order in which the requests will be serviced? (assume that the disk head is currently located at cylinder 50 and is moving toward higher numbered cylinders).

Answers

For FCFS (First Come, First Served):The requests will be serviced in the following order: 94, 169, 39, 135, 22, 133, 69, 65.

SSTF (Shortest Seek Time First):

The requests will be serviced in the following order: 39, 22, 65, 69, 94, 133, 135, 169

SCAN:

The requests will be serviced in the following order: 39, 65, 69, 94, 133, 135, 169, 22

C-SCAN:

The requests will be serviced in the following order: 94, 169, 39, 135, 22, 133, 69, 65

LOOK:

The requests will be serviced in the following order: 39, 65, 69, 94, 133, 135, 169, 22

C-LOOK:

The requests will be serviced in the following order: 94, 169, 39, 135, 22, 133, 69, 65

In FCFS and C-SCAN, the requests are serviced in the same order as they were received. In SSTF and LOOK, the requests are serviced in an order that minimizes the seek time of the disk head. In SCAN and C-LOOK, the requests are serviced in an order that moves the disk head in one direction (towards higher numbered cylinders in this case) until the end of the disk is reached, and then moves the disk head in the opposite direction to service the remaining requests.

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You have blue ribbon and red ribbon in the ratio 1/2:1/5 . Your friend finds the value of the ratio. Is your friend correct? :

Answers

Answer:

No.

Step-by-step explanation:

Below I should you two ways to get the correct answer.

PLEASE HELP 5 QUESTIONS PLEASE ILL GIVE BRAINLY IF IT SHOWS
1.
Which one is a proportion?
A. 1/2 = 2/3

B. 3/4 = 12/16

C. 19/15 = 54/85

D.2.5/7=5/12
-------------------
2.
Solve the proportion for the missing value of y.
3/12 = y/8
y =_________|
----------------------
3.
Solve the proportion for the missing value of w.
5/w = 8/4
w =__________|
-------------------------------
4.
If Mr. Argo went 20 miles on 2.5 gallons of gas, and he wants to know how far he can go on 9 gallons of gas. Which proportion would be helpful to solve the problem?
A.20/9 = 2.5/x

B. 9/2 = 20/x

C. 20/2.5 = x/9

D.9/20 = x/2

Answers

Answer:

3/4 = 12/16, y = 2, w = 2.5, 20/2.5 = x/9

Step-by-step explanation:

The first question is asking which is proportional.

B. 3/4 = 12/16

We know this is proportional because 4 can be multiplied by 4 to get 16, and the same can be applied to 3 to get 12.

The second question is asking for the missing value of y.

3/12 = y/8

y = 2

We can solve this by looking at the 12 and the 8.

8 is 2/3 of 12.

2/3 of 3 is 2

The third question is asking for the missing value of w.

5/w = 8/4

w = 2.5

We can solve this by looking at the 8/4.

8/4 is the same as 2/1.

Using this, we can conclude that w = 2.5

The fourth question is asking for the correct proportion.

If Mr. Argo can go 20 miles on 2.5 gallons of gas:

20/2.5

And he wants to know how many miles he can go with 9 gallons:

x/9

We can use the equation: C. 20/2.5 = x/9

Hope this helps!!

a rectangular lot measures 60 feet wide and has an area of 1,200 square yards. what is the depth of the lot?

Answers

The depth of the given rectangular lot is 60 yards.

Here, we are given that the area of a rectangular lot is 1,200 square yards.

Further the width of the lot is 60 feet

As the area and the width are given in different units, we first need to convert them into the same units.

Now, 1 foot = 0.33 yards

⇒ 60 feet = 0.33*60 yards

= 20 yards

Further, we know that the area of a rectangle is given by the formula-

area = length × breadth

Thus,

1,200 = 20 × breadth

1,200/20 = breadth

breadth = 60 yards

Thus, we find that the depth of the given rectangular lot is 60 yards.

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Forty-five percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 125 randomly selected individuals and found 50 believed that there is life on other planets. At α=0.10, is there sufficient evidence to conclude that the percentage differs from 45%? Use the P-value method with tables.
Hypothesis test is a two-tailed test. Compute the test value. Always round z score values to two decimal places.

Answers

We will reject the H0 as there sufficient evidence is obtained that the percentage of people who believe that there is life on planets differs from 50%.

It is given that the sample size, (N) is 125

Probability (P)= 0.50 or 50%

P'= 50/120= 0.4166

Significance level ([tex]\alpha[/tex])=0.10

If we consider the null and alternative hypotheses, they are:

H0= 0.50

H1≠ 0.50

For conducting the test statistics:

Z= [tex](P'-P)/\sqrt{P*(1-P)/N}[/tex]

Z= [tex](0.41-0.50)/\sqrt{0.50*0.50/125}[/tex]

Z= -2.01

The critical value of Z at [tex]\alpha[/tex]=0.10 is 1.645 or -1.645

And the P- value at Z= 2.01 is 0.04

Decision Criteria: If the P-value is less than the significance level, we reject the H0. Also, if the Z is found to be greater than the critical value, we will reject H0.

Thus, in this case, we see that, the P-value, 0.04 is less than the significance level, i.e., 0.10, we will reject the H0.

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What is 1\3x + y = 4

Answers

i believe the answer would be x = 3x(4-y)
the answer should be -1/3 and make sure that the negative sign is in-front of the fraction and not next to the 1 or the 3

What is h, the height of the tree? use the law of sines to first find at. Then use that measure to find the value of h. 3. 0 yards 3. 2 yards 3. 8 yards 4. 4 yards.

Answers

The measured height of the tree is found as 3.2 yards.

Explain the term trigonometric relation?Trigonometric ratios are based on the measurement of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. These trigonometric ratios of a given acute angle are the ratios of the sides of such a right-angled triangle in respect to that angle.

Let 'h' be the height of the three.

Let distance between student A and tree =  x.

Using trigonometric relation;

tan 57 = h/x

x = h/tan 57   ......eq 1

tan 46 = h/(x + 1)

x + 1 = h/tan 46   ......eq 2

Equation eq 1 and eq 2.

h/tan 57 + 1 = h / tan 46

h / tan 46 - h / tan 57 = 1

Further solving,

h(tan 57 - tan 46) = tan 46.tan 57

h = tan 46 tan 57 / (tan 57 - tan 46)

h = 3.2 yards

Thus, the measured height of the tree is found as 3.2 yards.

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The complete question is-

Two students stand 1 yard apart and measure their respective angles of elevation to the top of a tree. Student A measures the angle to be 57°, and Student B measures the angle to be 46°.

What is h, the height of the tree? Use the law of sines to first find AT. Then use that measure to find the value of h.

A) 3.0 yards

B) 3.2 yards

C) 3.8 yards

D) 4.4 yards

Answer: 3.2 is correct

Step-by-step explanation:

edge 2023

Explain how comparing the values of two signed numbers is different than comparing their absolute value?

Answers

The difference between the value of two signed numbers and the absolute value is that

signed numbers does not neglect the signs, they can be positive or negative while absolute value gives the positive valueIn a number line signed numbers have specific positions and directions while absolute values ranges from the zero to the positive

What are signed numbers?

Positive and negative numbers are referred to as signed numbers. The number is automatically regarded as positive if no sign is present.

On a number line, positive numbers are those to the right of zero. Negative numbers are those to the left of 0

What are absolute values?

Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line.

A number can never have a negative absolute value.

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a flipped coin can land in one of two states: heads or tails. write a vi that simulates simultaneously flipping four coins and determines how many of these coins land in the heads state.

Answers

The probability flipping of four coin that will give head is 0.93

Probability:

In statistics, Probability defines the possible way of occurring a particular event.

Given,

A flipped coin can land in one of two states: heads or tails.

Here we need to find the probability while flipping four coins then  how many of these coins land in the heads state.

In order to calculate the probability of these event, we have to know the values of the sample space and the possible number of events,

Here the value of sample space is written as,

S = {HHHH, TTTT, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH}

So, the value of n(S) = 16

The possible number of way to obtain the head state is,

E = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH}

the value of n(E) = 15.

Therefore, the probability of getting head state is

=> P(E) = 15/16

=> P(E) = 0.93

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Triangle ABC has vertices A(-6, 6), B(4, 2), and C(-4, 0).

Which statement about triangle ABC is true?



A. Since none of the sides are congruent, it is not a right triangle.

B. Since none of the sides have slopes that are negative reciprocals, it is not a right triangle.

C. Since two of the sides have slopes that are negative reciprocals, it is a right triangle.

D. Since two of the sides are congruent, it is a right triangle.

Answers

The statement that is true about the triangle ABC with vertices A(-6, 6), B(4, 2), and C(-4, 0) is C. Since two of the sides have slopes that are negative reciprocals, it is a right triangle.

How to check if the triangle is right triangle

Right triangles are triangles with have perpendicular relationships

The lines will be checked for perpendicularity by calculating the slopes, if any two slopes are negative reciprocals then they are perpendicular and the triangle is a right triangle'

the points A(-6, 6), B(4, 2), and C(-4, 0)

Using point A(-6, 6) and B(4, 2)

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - 6) / (2 - -6)

m = -1/2

Using point B(4, 2), and C(-4, 0)

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - -4) / (2 - 0)

m = 2

Comparing the slopes shows that slopes calculated are negative reciprocals

2 and -1/2

Therefore the triangle is a right triangle

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Question 10 of 10
What is the slope of a line that is parallel to y = 3x+ 5?

Answers

Answer:

[tex]\huge\boxed{\sf 3}[/tex]

Step-by-step explanation:

Given slope-intercept equation:

y = 3x + 5

Comparing it with standard form of slope-intercept equation i.e. y = mx + b.

Where,

m = slope = 3

b = y-intercept = 5

A line that is parallel to this line will have the same slope as this line.

So, it will also have a slope of 3.

[tex]\rule[225]{225}{2}[/tex]

when transforming a shape twice, do you transform it from the pre image or image?

Answers

when you transform a shape twice, you transform it from the image !

a variable is normally distributed with mean 19 and standard deviation 5. use your graphing calculator to find each of the following areas. write your answers in decimal form. round to the nearest thousandth as needed. a) find the area to the left of 16. b) find the area to the left of 14. c) find the area to the right of 15. d) find the area to the right of 27. e) find the area between 14 and 30.

Answers

The areas are

(a) 0.2743

(b) 0.1587

(c) 0.8413

(d) 0.0548

(e) 0.8274

What is standard deviation ?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

Use TI 84 plus calculator to find the following areas

(a) Entering the values

    Lower : -999999999

    Upper : 16

    Area (probability): 0.2743

(b) Entering the values

     Lower : -999999999

    Upper : 14

    Area (probability): 0.1587

(c) Entering the values

     Lower : 15

    Upper : 999999999

    Area (probability): 0.8413

(d) Entering the values

     Lower : 27

    Upper : 999999999

    Area (probability):  0.0548

(e) Entering the values

     Lower : 14

    Upper : 30

    Area (probability):  0.8274

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if a​ true-false test with questions is​ given, what is the probability of scoring ​(a) exactly​ 80% just by​ guessing?

Answers

The probability of scoring exactly​ 80%  is  0.04395  as per the given data.

Given: 10 true-false questions

So, we will have 50% chances (probability = 0.5) of being correct.

P( 80% score) = P( 8 answers correct)

As we observe, if X= number of correct answers, then X~ Binomial (n=10, p=0.5)

So, P(  80% score) = P( 8 answers correct)

= 0.0439453125

= 0.04395

Potential is described by probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events.

Probability basically refers to the degree to which something is likely to occur. With the help of this fundamental theory of probability, which is also used to describe the probability distribution, you will discover the possible results for a random experiment. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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correlation will not show whether or not there is weight loss. which tool would be more appropriate?

Answers

The following ways of measuring weight loss are more appropriate than correlation, i.e.,Skin calipers, Impedance scales, DEXA scanning, Body measurements.

What is meant by weight loss?

Calories factor into the equation while trying to maintain a healthy weight. The key to losing weight is to burn more calories than you consume. You may do this by consuming fewer calories than you need and increasing the number of calories you burn via physical exercise.

A realistic, efficient, and lasting weight loss plan might be difficult to follow even if it may appear straightforward.

You don't have to do it by yourself, though. Seek advice from your doctor, family, and friends. Consider whether this is the right time and whether you're prepared to make the essential changes. Plan wisely as well: Consider how you'll respond to circumstances that put your determination to the test and the inevitable slight setbacks.

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2(vh)/k=r Solve equation for v in terms of all other variables involved

Answers

The equation v in terms of other variables is v = kr/2h

What is the subject of an equation?

It is a variable which is expressed in terms of other variables involved in the formula.

Formulas are written so that a single variable, the subject of the formula is on the L.H.S. of the equation. Everything else goes on the right side of the equation. We evaluate the formula by substituting for the literal numbers on the right hand side.

2(vh) / k = r

by cross multiplication

2(vh) = kr

divide both sides by 2h

v = kr/2h

In conclusion, v in terms of other variables is  kr/2h

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The mean number of hours watching TV per week for a sample of 153 teenagers is 27. If the margin of error for the population mean with a 98% confidence interval is 1.2, construct a 98% confidence interval for the mean number of hours watching TV per week for all teenagers.

Answers

With 98% confidence interval, all teenagers' mean number of hours watching TV per week will be (26.6,29.4).

98% confidence interval can be calculated as

Point estimate± Error margin

Point estimate=mean number of hours watching TV

students=28.

Error margin=1.4.

As per given data, the 98% confidence interval for all teenagers is

=28± 1.4

=(28-1.4,28+1.4)

=(26.6,29.4)

Statisticians use confidence intervals to assess the level of uncertainty in a sample variable. For instance, a researcher may select numerous samples at random from the same population and compute a confidence interval for each sample to estimate how each sample may correctly reflect the true value of the population variable. With certain intervals including the true population parameter and others not, each produced dataset is distinct. Confidence intervals are a set of values that are constrained by the mean of the statistic and are likely to include an unidentified population parameter. The confidence level is the proportion of likelihood, or certainty, that, after multiple draws from a random sample, the confidence interval would contain the true population parameter.

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a research firm determined that the equation y=2x+80 can be used to model the total amount of spending by tourist in florida,y, in billions of dollars, for the years 2013-2017 where x is the number of years since 2013.
determine the key features for the context
domain? range? as x values increase,y values ? slope? x intercept? y intercept? thank ya

Answers

The slope and intercept of the line will be 2 and 80 respectively.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that, the total amount of tourist spending in Florida from 2013 to 2017 can be predicted using the equation y=2x+80, where x is the number of years since 2013, to the tune of billions of dollars.

Compare the equation with the standard equation,

y=mx+ c

Where m is the slope and c is the intercept of the line.

Thus the slope and intercept of the line will be 2 and 80 respectively.

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Subtract and choose the answer in simplest form.

1\frac {(3)} {(4)}-\frac {1} {3}
(4)
(3)


3
1

Answers

The required evaluation to the given expression is 5/12.

What is the fraction?

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

The expression is given in the question as:

1 3/4  - 1/3 (4)(3) - 1/3

We have to determine the evaluation to the given expression

As per the given question, we have

⇒ 1 3/4  - 1/3 (4)(3) - 1/3

⇒ 7/4  - 1/3 (12) - 1/3

Apply the subtraction operation,

⇒ 7/4  - 4 - 1/3

Take the LCM in the above fractions,

⇒ (21 - 12 - 4)/12

⇒ 5/12

Thus, the required evaluation to the given expression is 5/12.

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Three positive numbers are in the ratio 7:3:2. The sum of the least number and the greatest number exceeds twice the remaining number by 30. Find the three numbers.

Answers

The three numbers that are in the ratio 7:3:2 are 70, 30, and 20.

What is the ratio?

A ratio in mathematics demonstrates how many times one number is present in another.

For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

So, let 7x, 3x, and 2x be the three numbers.

7x+2x = 9x is the product of the lowest and greatest number.

In accordance with:

9x-30=2(3x)

To make the equation easier:

9x-30=6x

30 extra on both sides:

9x=6x+30 or,9x-6x=30

3x=30, x=10,

So, the numbers will be:

7x=7(10) = 70

3x=3(10) = 30

2x=2(10) = 20

Therefore, the three numbers that are in the ratio 7:3:2 are 70, 30, and 20.

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HELP
Select all the equivalent solution sets to the compound inequality 27>−1/2(4x+6)≥100?

A. −15

B. −10.5

C. −10.5

D. −15

E. −10.5

F. −15

G. −15

Answers

The answer would be out of all of them it is G

At a clothing store, ted bought 4 shirts and 2 ties for a total price of $95. At the same time store, stephen bought 3 shirts and 3 ties for $84. Each shirt was the same price, and each tie was the same price. Which system of equations can be used to find s, the cost of each shirt in dollar, and t, the cost of each tie in dollars ?.

Answers

The required system of equation for the cost of shirt and tie are-

4s + 2t = 953s + 3t = 84 Explain the term system of equations?simultaneous equations, or a system of equations, In order for two or so more equations in algebra to be solved jointly, the system's equations must all be satisfied by the solution. The quantity of equations must match the number of unknowns for a system to have a singular solution.

For the stated question-

Ted spent a total of $95 on 4 shirts and 2 ties from a clothes store. Stephen spent $84 on three shirts and three ties at the same time store. Each shirt and each tie cost the same amount.

Let 's' be the cost of each shirt.

Let 't; be the cost of each tie.

Then, the equations become-

4s + 2t = 95

3s + 3t = 84 are the required system of equation.

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a child has a box full of colored building blocks. he will choose one block without looking. the odds against choosing a blue block are 47. what is the probability of choosing a blue block?

Answers

7/11 is the probability of choosing a blue block.

Given:

a child has a box full of colored building blocks. he will choose one block without looking.

the odds against choosing a blue block are 47.

We need the probability of choosing a blue block,

Odds:

The odds of an event is the ratio of the probability of an event to the probability of its complement. In other words, it is the ratio of favorable outcomes to unfavorable outcomes.

The odds against choosing a blue block are 4/7 means. In 11 chances, 4 events will happen in which blue block will not be chosen and 7 events will happen in which blue blocks will be chosen.

So, the probability of not choosing the blue block is 4/11.

Probability of choosing blue block: complement of 4/11 which is equal to 7/11.

Hence we get the required answer.

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if olive construction company gets the job, what is the probability that base construction company did not bid?

Answers

If Olive Construction Company won the job, there is a 0.4615 (or 46.15%) probability that Base Construction Company would not have submitted a proposal.

What is probability?

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

So, the probability that the base construction company did not bid:

[tex]\begin{aligned}& P(A \mid B)=\frac{P(B \mid A) P(A)}{P(B \mid A) P(A)+P\left(B \mid A^{\prime}\right) P\left(A^{\prime}\right)} \\& P\left(B^{\prime} \mid O\right)=\frac{P\left(O \mid B^{\prime}\right) P\left(B^{\prime}\right)}{P\left(O \mid B^{\prime}\right) P\left(B^{\prime}\right)+P(O \mid B) P(B)} \\& P\left(B^{\prime} \mid O\right)=\frac{(0.5)(0.3)}{(0.5)(0.3)+(0.25)(0.7)} \\& P\left(B^{\prime} \mid O\right)=\frac{0.15}{0.15+0.175} \\& P\left(B^{\prime} \mid O\right)=0.4615\end{aligned}[/tex]

Therefore, if Olive Construction Company won the job, there is a 0.4615 (or 46.15%) probability that Base Construction Company would not have submitted a proposal.

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Calculate the social security and Medicare deductions for the following employee assume a tax rate of 6.2% on $128,400 for social security and 1.45% for Medicare. Logan has a cumulative earnings before this pay period was $128,300 , and pay amount this period was$3,000. What is the social security and what was the medicare

Answers

The social security and Medicare deductions for the following employee are  $7768 and $1816 respectively.

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical process, and extraction of roots

Main body:

Cumulative Earnings before this pay period = $128,300

pay amount this period = $3000

tax rate of 6.2% on social security = 6.2%

effective earning = 128300 = 3000

                           = 125300

social security deduction = 6.2 % of 125300

⇒ 6.2 *125300 /100

⇒$7768

Medicare deductions = 1.45%

⇒ 1.45*125300/100

⇒$1816

Hence , the social security and Medicare deductions for the following employee are  $7768 and $1816 respectively.

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of the 459,000 people living in miami, 68%indicated on a recent, city-wide survey that they were employed for a random sample of size 490 people, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?

Answers

The standard deviation of the sampling distribution of sample proportions is 0.21

Given,

Number of people living in Miami  = 459,000

Sample size, n = 490 people

Population proportion, p = 68% = 68

We have to find the standard deviation for the sampling distribution of the sample proportions;

Here,

Standard deviation of the sampling distribution of sample proportions is

σpˆ=√p(1−p)/n

σpˆ=√.68(1-.68)/490

σpˆ= .021

That is,

0.21 is the standard deviation of the sampling distribution of sample proportions.

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what is the actual explanation of what happens when you subtract a negative number from another negative number

Answers

a negative plus a negative equal’s positive. for example, -2 - -2 is 0, another example is -6 - -10 is 4

chegg the number of successes and the sample size for a simple random sample from a population are given below. x​, n​, ​: p​, ​: p​, a. determine the sample proportion. b. decide whether using the​ one-proportion z-test is appropriate. c. if​ appropriate, use the​ one-proportion z-test to perform the specified hypothesis test.

Answers

Since, it is observed that z = -2.74 < [tex]Z_{\alpha} = -2.33[/tex], it is then concluded that the null hypothesis is rejected.

What is a left-tailed test?

When the alternative hypothesis asserts that the true value of the parameter indicated in the null hypothesis is lower than the null hypothesis indicates, a left-tailed test is utilized.

This is a left-tailed test.

Test statistics

[tex]z = (\hat p - p_{0} ) / \sqrt{} p_{0}*(1-p_{0}) / n[/tex]

=  [tex]\sqrt{} (0.4*0.6) / 45[/tex][tex]= ( 0.2 - 0.4) \div \sqrt{} (0.4*0.6) / 45[/tex]

= -2.74

The critical value of the significance level is α = 0.01, and the critical value for a left-tailed test is:

[tex]Z_{\alpha} = -2.33[/tex]

Hence, it is observed that z = -2.74 < [tex]Z_{\alpha} = -2.33[/tex], it is then concluded that the null hypothesis is rejected.

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I need help fast please!!
Name the Property of Congruence that justifies the statement:
A. Symmetric Property
B. Transitive Property
C. Reflexive Property
D. none of the above

Answers

Answer:

A. Symmetric Property

Step-by-step explanation:

The Symmetric Propertry states that if x = y, then y = x.

Since XY = WX, and WX = XY, its the Symmetric Property.

a cake recipe calls for 472 ml of milk. you dont have a metric measuring cup at home, so you need to convert milliliters to cups. you know that 1 l equals 1.06 quarts and that there are 4 cups in 1 quart. how many cups of milk will you need to use

Answers

Number of cups of milk that will you need to use is 2.001 cups

Total quantity of milk needed for the cake = 472 milliliter

we know

1 liter = 1.06 quarts

1 quart = 4 cups

Convert the given quarts to cups

Then 1.06 quarts = 4 × 1.06

Multiply the numbers

= 4.24 cup

Here the total quantity of milk needed for the cake is 472 milliliter

We have to use the unitary method here

1 liter = 4.24 cups

472 milliliter = 4.24 × 0.472

Multiply the numbers

= 2.001 cups

Therefore, he need 2.001 cups of milk to make a cake

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