A club at school designed a banner consisting of two congruent triangles surrounded by stripes. The length of the sides of each of the triangles were 1.5 feet, 2.0 feet, 2.5 feet. Are the triangles right triangles? Explain

Answer:

$99.44 + $1.99 = $101.47

Delivery fee: $6.95

Final bill: $101.47 + 6.95 = $108.42

The final bill will be either $109.43 or $108.42, depending on whether the last-minute item is included in the order.

To calculate the final bill, we need to consider two scenarios: the order without the last-minute item and the order with the last-minute item. First, let's calculate the delivery fee for an order without the last-minute item. Since the order total is $99.48, which is less than $100, the delivery fee will be $9.95. Now, let's calculate the final bill by adding the delivery fee to the order total: $99.48 + $9.95 = $109.43.

Next, let's calculate the delivery fee for an order with the last-minute item. Since the order total will be $101.47 ($99.48 + $1.99), which is more than $100, the delivery fee will be $6.95. To calculate the final bill, we need to add the delivery fee to the updated order total: $101.47 + $6.95 = $108.42.

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Answer:

840

Step-by-step explanation:

the volume of a rectangular prism is the base(width)height

Answer:

Mean is 3.2

Median is 3.1

Step-by-step explanation:

a) mean

= (2.5+3.6+3.1+4.3+2.9+2.3+2.6+4.1+3.4)/9

= 28.8/9

= 3.2

b) median: we will arrange in ascending order and pick the middle term.

2.3 2.5 2.6 2.9 3.1 3.4 3.6 4.1 4.3

From the above order, 3.1 is the middle term and is the median

a) The mean reaction time of the 9 subjects is 3.2 seconds.

A mean is an average of a set of values.

The mean is computed by summing the values and then dividing the sum by the number of subjects.

b) The median reaction time for the random sample of 9 subjects to a stimulant is 3.1 seconds.

The median is the middle number in an arranged list of values.  The arrangement takes into consideration their ascending or descending orders.

The median is simple to determine when the list of values is not too long and well-arranged.

Variables    Reaction Times

                       in seconds

1.                         2.5

2.                        3.6

3.                        3.1

4.                       4.3

5.                       2.9

6.                       2.3

7.                       2.6

8.                       4.1

9.                      3.4

Total               28.8

Mean = 3.2 (28.8/9)

6.                       2.3

1.                        2.5

7.                       2.6

5.                       2.9

3.                       3.1

9.                      3.4

2.                      3.6

8.                      4.1

4.                      4.3

Thus, the mean and the median have been calculated.

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Without sufficient data, we cannot calculate the probabilities or the cost for the 3% highest domestic airfares. The calculations require details about the total number of observed airfares and the number that falls in the specified price ranges.

I regret to inform you that I cannot provide a factual answer to your question regarding domestic airfares as you have not provided sufficient data. Probability depends on the sample space and given conditions which are not provided in your question. For instance:

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Answer:

Answer : D

Step-by-step explanation:

A school has two kindergarten classes. There are 21 children in Ms. Toodle's kindergarten class. Of these, 17 are "pre-readers" children on the verge of reading. There are 19 children in Mr. Grimace's kindergarten class. Of these, 13 are pre-readers. Using the plus four confidence interval method, a 90% confidence interval for the difference in proportions of children in these classes that are pre-readers is â0.104 to 0.336.  

Which of the following statements is correct?

A) This confidence interval is not reliable because the samples are so small.  

B)This confidence interval is of no use because it contains 0, the value of no difference between classes.  

C)This confidence interval is reasonable because the sample sizes are both at least 5.  

D) This confidence interval is not reliable because these samples cannot be viewed as simple random samples taken from a larger population.

The Answer is D - This confidence interval is not reliable because these samples cannot be viewed as simple random samples taken from a larger population.

In this setup, all the students are already involved in the data. This is not a sample from a larger population, but probably, the population itself.

Answer:

c

Step-by-step explanation:

just did it on the assignment

Answer:

C

Step-by-step explanation:

[tex]x^{2}[/tex]+[tex]y^{2}[/tex]= [tex]\sqrt{x^{2}+y^{2} }[/tex]+2y

Answer:

The equation of equivalent is,[tex]x^{4}+ y^{4} +3 y^{2} +2x^{2} y^{2} -4y^{3} -4 x^{2} y-x^{2} =0[/tex]

Step-by-step explanation:

If two systems of equations have the same solution, they are equivalent (s). This article explains how to determine whether two systems are equal. Equivalent systems are sets of equations that have the same solution.

Given, r = 1+2sinФ

[tex]r^{2} =r+2rsin[/tex]θ

[tex]x^{2}+ y^{2} =r+2y\\x^{2} + y^{2} -2y=r\\[/tex]

Squaring, both side:

[tex](x^{4} +y^{4} -2 y^{2}) = r^{2} \\x^{4}+ y^{4} + 4y^{2}+2 x^{2} y^{2} - 4y^{3} -4x^{2} y =x^{2} +y^{2} \\x^{4} + y^{4} +3 y^{2} +2 x^{2} y^{2} -4y^{3} -4x^{2} y^}-x^{2} =0[/tex]

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Answer:

The old version awards 50 more points for each level

Step-by-step explanation:

Function Modeling

Two models are being compared: The old model relates the total number of points awarded in a computer game (y) with the number of levels completed (x) as

[tex]y=175x+150[/tex]

The new model is given as a graph. To find the equation of the line we must locate a couple of 'good' points. The graph is very clear, so we select the extreme points (1,250) (9,1250)

Find the equation of the line with the point-point formula

[tex]\displaystyle y-250=\frac{1250-250}{9-1}(x-1)[/tex]

[tex]\displaystyle y-250=\frac{1000}{8}(x-1)[/tex]

[tex]y=250+125x-125[/tex]

[tex]y=125x+125[/tex]

Comparing the new function with the old function we can note the coefficient of x (the slope of the line) is 50 points more in the old version than the points in the new version.

Thus the answer is

The old version awards 50 more points for each level

Answer: the answer is B

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

add 5 to -25 to get -2/5x by itself.

The volume of the cylinder is 401.92 cube m.

Step-by-step explanation:

Given,

A cylinder of height 2x inscribed in a sphere of radius 8 m.

The center of the sphere is the midpoint of the altitude that joins the centers of the bases of the cylinder.

To find the volume of the cylinder.

Formula

The volume of a cylinder with h as height and r as radius is = πr²h

Since,

The cylinder is inscribed in the sphere

The radius (r) of the cylinder = 4 m

The height (h) of the cylinder = 8 m

So,

The volume of the cylinder = π×4²×8 cube m

= 128π cube m [ taking π=3.14]

= 128×3.14 cube m

= 401.92 cube m

Hence,

The volume of the cylinder is 401.92 cube m.

The volume of the cylinder is 128πx.

The volume of a cylinder can be found using the formula V = πr²h, where r is the radius of the cylinder's base and h is the height of the cylinder. In this case, the cylinder is inscribed in a sphere with radius 8 meters and the center of the sphere is the midpoint of the altitude that joins the centers of the bases of the cylinder. Since the cylinder is inscribed in the sphere, the diameter of the cylinder is equal to the diameter of the sphere, which is twice the radius of the sphere. Thus, the diameter of the cylinder is 16 meters and the radius is 8 meters.

Since the height of the cylinder is given as 2x, we can substitute this value into the formula to find the volume:

V = π(8)²(2x) = 128πx

Therefore, the volume of the cylinder is 128πx.

Answer:

$15.6

Step-by-step explanation:

one bag= $1.95

8 bags = 8×1.95=15.6

so answer is $15.6.

Answer:

Step-by-step explanation:

Table(2) shows the relative frequency opted from the table(1).

It is defined as the number of waves that crosses a fixed point in one second known as frequency. The unit of frequency is per second.

We have a table in which data has shown:

To find the relative frequency:

For the first cell:

[tex]=\frac{67}{92} \times100 \approx 73\%[/tex]

For the second cell:

= 100 - 73 ⇒ 27%

For the third cell:  

[tex]\rm = \frac{46}{66} \times 100 \approx 70\%[/tex]

For the fourth cell:

= 100 - 70 = 30%

Thus, table(2) shows the relative frequency opted from table(1).

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Answer:Correct Answer: A

Explanation: Choice A is the correct answer. Let x be the number of hours that the babysitter worked. Since the babysitter earns money at a rate of $8 per hour, she earned 8x dollars for the x hours worked. If the babysitter gets both children to bed on time, the babysitter earns an additional $3 tip. Therefore, the babysitter earned a total amount of 8x + 3 dollars.

Choice B is incorrect since the tip and the rate per hour have been interchanged in the expression. Choices C and D are incorrect since the number of children is not part of how the babysitter’s earnings are calculated.

Answer: G=21

Step-by-step explanation:

Solve for G by simplifying both sides of the equation, then isolating the variable.

Answer:

m=2/3

Step-by-step explanation:

your answer would be A.

Answer: A

Step-by-step explanation:

Answer:

the first opition is the correct answer

Answer: 40in²

Step-by-step explanation:

To find the area of the shade region, considering the diagram, the diagonal of the rectangle has divided the figure into two equal half. So, one is shaded and the other not shaded. So the shaded region is a right angled triangle,. So the formula for finding the area of a triangle need to be applied.

Area. = 1/2 × b × h

= 1/2 × 10 × 8

= 40in²

Answer:

4n-3=5

Step-by-step explanation:

If you read it step by step the product of and a number is basically 4* any variable.( In this case I use n.) Next the beginning part is 3 less than the product part so it is 4n-3. And finally the whole equation is equal to 5 so itis 4n-3=5.

Answer:

94.41% probability that at least 25 employees in the sample will participate in the optional retirement plan

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this problem, we have that:

[tex]n = 50, p = 0.6[/tex]

So

[tex]\mu = E(X) = np = 50*0.6 = 30[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.6*0.4} = 3.46[/tex]

What is the probability that at least 25 employees in the sample will participate in the optional retirement plan?

Using continuity correction, this is [tex]P(X \geq 25 - 0.5) = P(X \geq 24.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 24.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24.5 - 30}{3.46}[/tex]

[tex]Z = -1.59[/tex]

[tex]Z = -1.59[/tex] has a pvalue of 0.0559

1 - 0.0559 = 0.9441

94.41% probability that at least 25 employees in the sample will participate in the optional retirement plan

Answer:

The answer is A.

Step-by-step explanation:

Step-by-step explanation:

15.4% of the nuts are pecans.

0.154x = 77

x = 500

There are 500 pounds of mixed nuts in the batch.

Answer:

We conclude that % of DC area adults who have traveled outside of the United States is different from 40%.

Step-by-step explanation:

We are given that 40% of DC area adults have traveled outside of the United States. Nardole wants to know if his customers are typical in this respect. He surveys 40 customers and finds 60% have traveled outside of the U.S.

We have to test is this result a statistically significant difference.

Let p = % of DC area adults who have traveled outside of the United States

SO, Null Hypothesis, [tex]H_0[/tex] : p = 40%  {means that 40% of DC area adults have traveled outside of the United States}

Alternate Hypothesis, [tex]H_a[/tex] : p [tex]\neq[/tex] 40%  {means that % of DC area adults who have traveled outside of the United States is different from 40%}

The test statistics that will be used here is One-sample z proportion statistics;

                  T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = % of customers who have traveled outside of the United States

                  in a survey of 40 customers = 60%

          n  = sample of customers = 40

So, test statistics = [tex]\frac{0.60-0.40}{\sqrt{\frac{0.60(1-0.60)}{40} } }[/tex]

                             = 2.582

Since in the question we are not given with the significance level so we assume it to be 5%. So, at 0.05 level of significance, the z table gives critical value of 1.96 for two-tailed test. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject null hypothesis as it will fall in the rejection region.

Therefore, we conclude that % of DC area adults who have traveled outside of the United States is different from 40%.

6 3/4 = 27/4

27/4 * 1/3 = 27/12

27/12 = 9/4

Answer: 9/4 cups

To find out how much fruit salad was eaten, convert the mixed number to an improper fraction and multiply by the fraction representing the amount eaten.

To calculate how much fruit salad was eaten, we need to find 1/3 of 6 3/4 cups. First, we convert the mixed number 6 3/4 to an improper fraction by multiplying the whole part (6) by the denominator (4) and adding the numerator (3) to it. This gives us 27/4 cups. Next, we multiply 27/4 by 1/3, which can be simplified to 9/4. So, they ate 9/4 cups of fruit salad.

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Answer:

uhhh

Step-by-step explanation:

uh I don't see the graph

Answer:

D and B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello!

In descriptive statistics, the median is a measurement of center position. It separates the sample in halves. (bottom 50% from upper 50%)

The manager took a sample of 11 cashiers and recorded the worked hours in a week

To identify the median you have to calculate it's position:

The position is calculated as

PosMe= (n+1)/2= (11+1)/2= 6 cashier

This means that the Median of hours worked is a week observed corresponds to the 6th cashier (after ordering the data from lowest to highest)

If you observe the histogram, the x-axis corresponds to worked hours and the y-axis shows the number of workers.

The workers were already arranged from least hours worked to most hours worked.

The first interval corresponds to 0-10 worked hours and two workers recorded these working times.

The second interval corresponds to 10-20 worked hours and three workers recorded these working times.

In the third interval of 20-30 hours, no workers recorded these working times.

The fourth interval corresponds to 30 - 40 worked hours and 5 workers recorded these working times.

The fifth interval corresponds to 40 - 50 worked hours and only one worker recorded these working hours.

The first five workers were recorded in the first two intervals and the sixth worker was recorded in the fourth interval. So the interval that contains the median number of hours worked is "30 - 40 hours"

I hope this helps!

The interval that contains the median number of hours worked is "30 - 40 hours"

The manager took a sample of 11 cashiers and recorded the worked hours in a week

To identify the median you have to calculate it's position:

The position is calculated as

PosMe= (n+1)/2= (11+1)/2= 6 cashier

The fourth interval corresponds to 30 - 40 worked hours and 5 workers recorded these working times.

The first five workers were recorded in the first two intervals and the sixth worker was recorded in the fourth interval. So the interval that contains the median number of hours worked is "30 - 40 hours"

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Answer: 3(3x−4) is the answer

Answer:

3(3x-4) is the answer

Step-by-step explanation:

Answer:

The median of the following set of data is 9 since the question is implying, which is the center of the data distribution.

Step-by-step explanation:

Answer: b. A 90% confidence level and a sample of 24 observations. 1.714 1.714 Correct

Step-by-step explanation: