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Answer:

Step-by-step explanation:

The slope of the line that passes through points (0, 0) and (-7, -3) is:

Perpendicular lines have opposite-reciprocal slopes:

Correct choice is C

Answer:

C

Step-by-step explanation:

400*.035 = 14 *2 = 28

250*.0325 = 8.125 *2 = 16.25

28 + 16.25  = 44.24

44.25+650 = 694.25

it's the first answer choice

Step-by-step explanation:

If you add all the pieces of data up and divide the total number by 8 (the amount of pieces of data) you will get the mean. For median you just order them from least to greatest and find the one in the middle. Lastly, for mode you just choose the number that shows up the most.

Answer:

∠QPT=122°

Step-by-step explanation:

Angles along a straight line add up to 180. Therefore:

∠PRQ+∠PRS=180

∠PRQ+118=180

∠PRQ=180-118

∠PRQ=62°

All angles in a triangle add to 180. Therefore:

∠PQR+∠QPR+∠PRQ=180

60+∠QPR+62=180

∠QPR+122=180

∠QPR=58°

Angles along a straight line add to 180. Therefore:

∠QPT+∠QPR=180

∠QPT+58=180

∠QPT=122°

Answer:

1.45

Step-by-step explanation:

I don't really know if this is right

Answer:

D. Point S

Step-by-step explanation

The opposite of -5.5 is 5.5, therefore since Point S is at 5.5 on the number line, the answer is D.

Answer:

C: 110.25

Step-by-step explanation:

The simplification form of the provided expression is 18.25 option (A) is correct.

It is defined as the combination of constants and variables with mathematical operators.

We have a mathematical expression:

[tex]= \rm \dfrac{7\times8+20(4.5)}{16\times0.5}[/tex]

= (56 + 90)/8

= 146/8

= 18.25

Thus, the simplification form of the provided expression is 18.25 option (A) is correct.

Learn more about the expression here:

brainly.com/question/14083225

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Answer:

(x-3)²+(y+5)²=16

Step-by-step explanation:

[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]

The equation above is an equation of circle with a centre at (h,k) and has radius = r

Substitute h = 3, k = -5 and r = 4 in the equation.

[tex] \large{ {(x - 3)}^{2} + {(y - ( - 5))}^{2} = {4}^{2} } \\ \large{ {(x - 3)}^{2} + {(y + 5)}^{2} = 16}[/tex]

Answer:a

Step-by-step explanation:

Answer:

-50x + 40

Step-by-step explanation:

10(-5x+4)

-50x + 40

Answer:

Area =L×w

84×18y =L×w

by comparison

L =84 and w=18y

Answer:

24.32x10^8

Step-by-step explanation:

3.8x10^2 and 6.4x10^6

Put in expression.

(3.8x10^2)+(6.4x10^6)

Remover parenthesis.

3.8x10^2+6.4x10^6

Rearrange so like terms are together.

(3.8x6.4)+(10^2x10^6)

Then combine like terms.

24.32x10^8

So that's the answer.

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hope it helps

Answer:

1.2%

Step-by-step explanation:

Answer:

The mean average monthly temperature in City 1 is 48.75°F.

The mean absolute deviation for the average monthly temperature in City 1 is  13.375°F

Step-by-step explanation:

For this case we have the following dataset given:

Average Monthly Temperatures for City 1 (° F)

30, 38, 66, 78, 47, 75, 35, 45, 56, 29, 49, 37

Average Monthly Temperatures for City 2 (° F)

15, 23, 51, 63, 32, 60, 20, 30, 41, 14, 34, 22

For this case the sample mean can be calculated with the following formula:

[tex]$\bar{X}=\frac{\sum_{i=1}^{n} x_{i}}{n}$[/tex]

And replacing we got:

[tex]$\bar{X}_{1}=\frac{30+38+66+78+47+75+35+45+56+29+49+37}{12}=48.75$[/tex]

The mean average monthly temperature in City 1 is 48.75°F.

And now we can calculate the following values:

[tex]$|38-48.75|=10.75$[/tex]

[tex]$|66-48.75|=17.25$[/tex]

[tex]$|78-48.75|=29.25$[/tex]

[tex]$|47-48.75|=1.75$[/tex]

[tex]$|75-48.75|=26.25$[/tex]

[tex]$|35-48.75|=13.75$[/tex]

[tex]$|45-48.75|=3.75$[/tex]

[tex]$|56-48.75|=7.25$[/tex]

[tex]$|29-48.75|=19.75$[/tex]

[tex]$|49-48.75|=0.25$[/tex]

[tex]$|37-48.75|=11.75$[/tex]

And the mean absolute deviation is given by:

[tex]$M A D=\frac{\sum_{i=1}^{n}\left|X_{i}-\bar{X}\right|}{n}=\frac{160.5}{12}=13.375$[/tex]

The mean absolute deviation for the average monthly temperature in City 1 is  13.375°F

Answer:

[tex]A=745.06[/tex]

[tex]C=96.76[/tex]

Answer:

the missing side is 90 because is a right triangle

Answer:

Step-by-step explanation:

The shaded region is triangle.

Base = 1.1 in

Height = 3.8 in

Area of triangle = [tex]\frac{1}{2}*base * height[/tex]

                          [tex]=\frac{1}{2}*1.1*3.8\\\\= 1.1 * 1.9\\\\= 2.09 in^{2}[/tex]

Area of shaded region = 2 * 2.09 = 4.18 square inches

Answer:

-9b+2n-4+2b

-7b+2n-4 is your answer

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 434[/tex]

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

[tex]H_{a}: \mu < 434[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that [tex]\mu = 434[/tex]

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that [tex]X = 431, n = 9, \sigma = \sqrt{144} = 12[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}[/tex]

[tex]z = -0.75[/tex]

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

Answer:

The current vice president (as of 4-16-2021) of the U.S. is Kamala Harris. This is a non-statistical question.

Step-by-step explanation:

A statistical question can be answered by collecting data and where there will be variability in that data. The proposed question (Who is the current vice president of the U.S.?) does not allow for variability in the data as there is only one legitimate answer to the question, thus it is NOT a statistical question.

Answer: statistical question

Step-by-step explanation:

cause your asking the current vice president.

Answer:

The correct answer is C

Your welcome:)

The equation below could be the equation of this parabola is y = -5x².

Option A is the correct answer.

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

We have,

Since the parabola vertex is at (0,0) and is open to the left, the equation of the parabola must be of the form:

y = a x², where a is a positive constant.

Now,

The only equation that fits this form is y = -5x².

Thus,

The equation below could be the equation of this parabola is y = -5x².

Learn more about parabola here:

https://brainly.com/question/21685473

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Answer:

What's the the temperatures?

Step-by-step explanation:

Answer:

73.50

Step-by-step explanation:

Answer:

67.5

Step-by-step explanation:

his earnings increase in a linear way so we can express it as linear equation;

y = ax+ b ,

a is the slope in this case it is 7.5$ for every hour

b is the initial value, in this case 0

y = 7.5x

we will write 9 insted of x to find the amount of money when working for 9 hours;

y = 7.5 x 9 = 67.5

Answer:

7040 yards

Step-by-step explanation:

1 mile = 1760 yards

1 x 4 miles = 1760 x 4 yards

4 miles = 7040 yards

Answer:

the answer is a

Step-by-step explanation:

Solution :

Given :

p = 12% = 0.12

n = 15..

Mean is defined as the product of a sample size n and the probability p such that :

[tex]$\mu_X = np = 1500 \times 0.12$[/tex]

             = 180

Standard deviation may be defined as the square of a product of the sample size n, the probability p and the probability 1-p :

[tex]$\sigma_X = \sqrt{np(1-p)}$[/tex]

[tex]$\sigma_X = \sqrt{1500 \times 0.12 \times (1-0.12)}$[/tex]

     ≈  12.5857

The z-score is given by :

[tex]$z=\frac {x- \mu}{\sigma } $[/tex]

[tex]$z=\frac {165-180} {12.5857 }$[/tex]

 ≈  -1.19  

[tex]$z=\frac {x- \mu}{\sigma } $[/tex]

[tex]$z=\frac{195-180} {12.5857 }$[/tex]

 ≈  1.19  

Now determining the corresponding probability using table  :

P (165 ≤ X ≤ 195 ) = P (-1.19 ≤ Z ≤ 1.19 )

                            = 1-2 x P(Z < -1.19)

                            = 1-2 x 0.1170

                            = 1-0.2340

                            = 0.7660

                             = 76.60%

Given values,

           = 0.12

The mean will be

→ [tex]\mu x = np[/tex]

By putting the values,

       [tex]= 1500\times 0.12[/tex]

       [tex]= 180[/tex]

The standard deviation will be:

→ [tex]\sigma x = \sqrt{np(1-p)}[/tex]

       [tex]= \sqrt{1500\times 0.12\times (1-0.12)}[/tex]

       [tex]= 12.5857[/tex]

The z-score will be:

→ [tex]z = \frac{x- \mu}{\sigma}[/tex]

     [tex]= \frac{165-180}{12.5857}[/tex]

     [tex]= -1.19[/tex]

and,

→ [tex]z = \frac{195-180}{12.5857}[/tex]

     [tex]= 1.19[/tex]

hence,

The probability will be:

→ [tex]P(165 \leq X \leq 195) = P(-1.19 \leq Z \leq 1.19)[/tex]

                                [tex]= 1-2\times P(Z < -1.19)[/tex]

                                [tex]= 1-2\times 0.1170[/tex]

                                [tex]= 1-0.2340[/tex]

                                [tex]= 0.7660[/tex]

                                [tex]= 76.60[/tex] (%)

Thus the answer above is right.  

Learn more about probability here:

https://brainly.com/question/13796006

Answer:

3

Step-by-step explanation:

3 occurs the most in this data set

Answer:

The mode is 3.

Step-by-step explanation:

Given:

The figure of rectangle.

To find:

a. The diagonal of the rectangle.

b. The area of the rectangle.

c. perimeter of the rectangle.

Solution:

(a)

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin 30=\dfrac{12}{Hypotenuse}[/tex]

[tex]\dfrac{1}{2}=\dfrac{12}{Hypotenuse}[/tex]

[tex]Hypotenuse=12\times 2[/tex]

[tex]Hypotenuse=24[/tex]

So, the diagonal of the of the rectangle is 24 units.

(b)

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\tan 30=\dfrac{12}{Base}[/tex]

[tex]\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}[/tex]

[tex]Base=12\sqrt{3}[/tex]

Length of the rectangle is 12 and width of the rectangle is [tex]12\sqrt{3}[/tex]. So, the area of the rectangle is:

[tex]Area=length \times width[/tex]

[tex]Area=12 \times 12\sqrt{3}[/tex]

[tex]Area=144\sqrt{3}[/tex]

So, the area of the rectangle is [tex]144\sqrt{3}[/tex] sq. units.

(c)

Perimeter of the rectangle is:

[tex]P=2(length+width)[/tex]

[tex]P=2(12+12\sqrt{3})[/tex]

[tex]P=24+24\sqrt{3}[/tex]

[tex]P\approx 65.57[/tex]

Therefore, the perimeter of the rectangle is about 65.57 units.