What value of m will m+9, 2m-1, and 2m+7 are the consecutive terms of an
arithmetic progression?

The five number summary you wrote out is correct.

The tip of the left whisker is at 36, since this is the smallest value and we don't have outliers. The tip of the right whisker is at 64 which is the max (we don't have outliers here either).

The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint as the diagram shows.

The IQR (interquartile range) is found by computing IQR = Q3-Q1 = 55-39 = 16

Note that the lower fence is L = Q1 - 1.5*IQR = 39 - 1.5*16 = 15. Anything below this value of L is an outlier.

The upper fence is U = Q3 + 1.5*IQR = 55 + 1.5*16 = 113.5; anything above this value of U is an outlier. All of the values in the given set are between L and U, meaning we don't have outliers. If we had outliers, then we would have island points outside the main box-and-whisker plot.

I used GeoGebra to create the box-and-whisker plot.

Answer:

The data and 5-number summary is given.

Based on the 5 numbers we have the attached box-and-whisker plot.

Answer:

B

Step-by-step explanation:

0.25 (2d + 1) = 0.25(2d) + 0.25(1)

= 0.50d + 0.25

Answer:

The expression 0.25(2d+1) is equivalent

equivalent go 0.50d +0.25.

Step-by-step explanation:

If yoy simplify the expression if will be 0.5d+0.25

Answer:

x=9

Step-by-step explanation:

Answer:

Step-by-step explanation:

The new equation will be

y = abs(x) + 3

I have made a graph to show you this.

The red graph is y = abs(x)

The blue graph is y = abs(x) + 3

You need only look at the point 0,0 to see what happened. On the red graph (0,0) is the lowest point. When you add 3 to get the lowest point, you should notice that the lowest point is now (0,3)

Answer:

Step-by-step explanation:

365 x 24 = 8,760

365 x 6 = 2,190

8,760 - 2,190 = 6,570

6,570 / 24 = 273 3/4

The person sleeps 91 (1/4) days per year.

Multiplication is the process of adding a number up to a given number.

Given that, the person sleeps 6 hours a day.

The total hours of sleeping over a year are:

365 × 6

= 2190 hours per year

Since there are 24 hours in a day, divide 2190 by 24 to get the answer in days per hour:

2190/24

= 91 (1/4)

Hence, the person sleeps 91 (1/4) days per year.

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Answer:

Break even unit = 800

Break even point = $320,000

Step-by-step explanation:

Given:

Amount invested (Fixed cost) = $200,000

Each software cost (variable cost) = $150

Selling price = $400

Find:

Break even unit

Computation:

Assume;

Break even unit = a

Total Cost = Amount invested (Fixed cost) + [Each software cost][Break even unit]

Total cost = 200,000 + 150a

Total revenue = Selling price[Break even unit]

Total revenue = 400a

So,

400a = 200,000 + 150a

250a = 200,000

Break even unit = 800

Break even point = 400a

Break even point = 400(800)

Break even point = $320,000

Answer:

D. 1/5

Step-by-step explanation:

Because

0.2222...>0.2>0.12

The test statistic is 1.145 for the appropriate test to investigate whether there is a difference in population means.

A test statistic is a numerical value calculated from sample data in hypothesis testing.

Given that

Sample 1: Store M

Sample size, [tex]n_1[/tex] = 35,

Sample mean, [tex]\bar{X_1}[/tex] = 300,

Standard deviation, [tex]s_1[/tex] = 40.

Sample 2: Store V

Sample size, [tex]n_2[/tex] = 40,

Sample mean, [tex]\bar{X_2}[/tex] = 290,

Standard deviation, [tex]s_2[/tex] = 35.

The null hypothesis, [tex]H_o[/tex] : there is no difference in population means, i.e.,

[tex]\mu_1 =\mu_2[/tex].

The alternate hypothesis, [tex]H_1[/tex] : there is a significant difference in population means, i.e.,

[tex]\mu_1 \neq\mu_2[/tex].

Under the null hypothesis, the test statistic is

[tex]t = \dfrac{\bar{X_1}-\bar{X_2}}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]

  [tex]= \dfrac{300-290}{\sqrt{\frac{40^2}{35}+\frac{35^2}{40} }}\\=\dfrac{10}{\sqrt{\frac{1600}{35}+\frac{1225}{40} }} \\=\dfrac{10}{\sqrt{45.714+30.625 }} \\=\dfrac{10}{\sqrt{76.339 }}\\=\dfrac{10}{8.737}\\=1.145[/tex]

Hence the test statistic is 1.145.

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Answer:

16P5

Step-by-step explanation:

16*15*14*13*12

Answer:

This is the answer that I got.

s= - 1/5

Step-by-step explanation:

see the steps below:)

Answer:

A. 7

Step-by-step explanation:

Alternate exterior angles are formed when we have two parallel lines that are intercepted by a transversal line in such a way that the exterior angles formed is outside the two parallel lines and they alternate each other along the transversal line.

Thus,

Angle 2 is an exterior angle along the transversal line and alternates angle 7, which is another exterior angle.

Therefore, an alternate exterior angle to angle 2 is angle 7.

Answer:

Step-by-step explanation:

A+B+C+D=360 degree (being one complete turn)

360 degrees

Step-by-step explanation:

because it a venticular angle you one side(180) and the other side (180) given you 360 degrees

Answer:

D. 144

Step-by-step explanation:

Find volume of shipping container:

2 2/3 = 8/3

2 x 1 = 2

8/3 x 2/1 = 16/3

Find volume of cube:

1/3 x 1/3 = 1/9 x 1/3 = 1/27

Find how many boxes fit in container:

16/3 ÷ 1/27

16/3 x 27/1

Simplify:

16/1 x 9/1 = 144/1

Answer: 144

Answer:

89yuyyygvghhhhhhnnn76yyyyy

9514 1404 393

Answer:

  no

Step-by-step explanation:

Triangle ABC has angle measures ...

Triangle DEF has angle measures ...

Using the angle measures in the order 18, 110, 52, we can write the similarity statement as ...

  ΔABC ~ ΔEFD

The similarity statement given in the problem is incorrect. ΔABC is not similar to ΔDEF.

Answer:

[tex]x=26.67[/tex]

Step-by-step explanation:

From the question we are told that:

Height of Pole [tex]h_p=15 foot[/tex]

Height of Man [tex]h_m =6ft[/tex]

Distance from Pole [tex]d_p=40ft[/tex]

Generally the equation for similar Property is mathematically given by

[tex]\frac{h_p}{h_m}=\frac{d_p+x}{x}[/tex]

[tex]x=\frac{h_m*(d_p+x)}{h_p}[/tex]

[tex]x=\frac{6*(40+x)}{15}[/tex]

[tex]x=\frac{240+6x}{15}[/tex]

[tex]x=16+0.4x\\x-0.4x=16[/tex]

[tex]x=16\0.6[/tex]

[tex]x=26.67[/tex]

Answer:

456,796 passwords

Step-by-step explanation:

Because any letter can be repeated for the 4-letter password, there are 26 possible letters for the first letter of the password, 26 possible letters for the second letter of the password, 26 possible letters for the third letter of the password, and 26 possible letters for the fourth letter of the password. Therefore, the possible number of passwords that can be created is 26*26*26*26 = 26^4 = 456,796 passwords

Answer:

equilateral triangle

Step-by-step explanation:

equilateral triangle

A triangle: An equilateral triangle is a regular polygon with three equal side lengths and three equal angles.

Answer:

4.0.

Step-by-step explanation:

In sample 1, you do 0.65/1.3 which gets you to 0.5, so then you do the same to the bottom which you also have to divide by 1.3, and 5.2/1.3 is 4.0 or 4.

Answer:

option D.  4.0

Step-by-step explanation:

                    Mass              Volume

Sample 1        0.65                0.5

Sample 2        5.2                   x

[tex]\frac{0.65}{5.2} = \frac{0.5}{x}\\\\0.65 \times x = 0.5 \times 5.2\\\\0.65x = 2.6\\\\x =\frac{2.6}{0.65} =4[/tex]

Answer:

its -4.5??? what is the question you're asking

Answer:

Option c is correct one

C. 4/26

Bcz word MATH contains 4 words and total alphabet is 26

Answer:

c

Step-by-step explanation:

I think it is c

Answer:

im in 6th grade so i have no idea

Step-by-step explanation:

Answer and Step-by-step explanation:

First, solve for the angle TRS, so that we can find the missing angle.

Subtract the two angles from 180 (because all triangle's angles add up to 180).

180 - 58 - 60 = 62.

By the vertical angles theorem, 62 is equal to the missing angle.

#teamtrees #PAW (Plant And Water)

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

3x + 2 = 17

Step 2: Solve for x

Answer:

you subtract two both side, then divide three both side, you'll get x = 5.

Step-by-step explanation:

3x + 2 = 17

(3x + 2) -2 = (17) -2. First, you subtract 2 for both sides

3x = 15

(3x)/2 = (15)/2. Second, you divide 3 both side

x = 5. Last, you get your answer

Answer:

a) The standard error for this estimate of the percentage of all young Americans who earned a high school diploma is 0.87%.

b) The margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma is of 1.71%.

c) The 95% confidence interval for the percentage of all young Americans who earned a high school diploma is (85.29%, 88.71%).

d) The lower bound of the confidence interval is above 80%, which means that the confidence interval supports the claim that the percentage of young Americans who cam high school diplomas has increased.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Standard error:

The standard error is:

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Margin of error:

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}} = zs[/tex]

The confidence interval is:

Sample proportion plus/minus margin of error. So

[tex](\pi - M, \pi + M)[/tex]

In a simple random sample of 1500 young Americans 1305 had earned a high school diploma.

This means that [tex]n = 1500, \pi = \frac{1305}{1500} = 0.87[/tex]

a. What is the standard error for this estimate of the percentage of all young Americans who earned a high school diploma?

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.87*0.13}{1500}} = 0.0087[/tex]

0.0087*100% = 0.87%.

The standard error for this estimate of the percentage of all young Americans who earned a high school diploma is 0.87%.

b. Find the margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Then

[tex]M = zs = 1.96*0.0087 = 0.0171[/tex]

0.0171*100% = 1.71%

The margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma is of 1.71%.

c. Report the 95% confidence interval for the percentage of all young Americans who earned a high school diploma.

87% - 1.71% = 85.29%

87% + 1.71% = 88.71%.

The 95% confidence interval for the percentage of all young Americans who earned a high school diploma is (85.29%, 88.71%).

d. Suppose that in the past, 80% of all young Americans earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young Americans who cam high school diplomas has increased? Explain.

The lower bound of the confidence interval is above 80%, which means that the confidence interval supports the claim that the percentage of young Americans who cam high school diplomas has increased.

Answer:

40.84 to nearest hundredth.

Step-by-step explanation:

C = pi * d

= pi * 13

= 40.8407