Solve the question in the image please.

Answer:

a)Range= 25.9

b)Variance =49.344

c)Standard deviation=7.0245

Step-by-step explanation:

Data : 28.2 49.2 30.9 28.8 28.0 25.9 34.0 29.0 23.8 30.1

Maximum Value : 49.4

Minimum Value : 23.5  

Range= Maximum - Minimum

Range= 49.4 -23.5 = 25.9

(b)

[tex]Mean=\bar{x}=\frac{\sum x}{n}=\frac{309.2}{10}=30.92\\\\Variance=s^{2}=\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}=49.344[/tex]

(c) Sample standard deviation:

[tex]s=\sqrt{\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}}=7.0245[/tex]

d)s2 using the shortcut method.

            X          [tex]X^2[/tex]

          28.6 817.96

          49.4 2440.36

          30.3 918.09

          28.2 795.24

         28.9 835.21

         26.4 696.96

        33.8 1142.44

         29.9 894.01

         23.5 552.25

          30.2 912.04

Total   309.2 10004.56

[tex]s=\sqrt{\frac{\sum x^{2}_{i}-\frac{\left ( \sum x_{i} \right )^{2}}{n}}{n-1}}\\s=\frac{10004.56-\frac{309.2^{2}}{10}}{9}\\s=7.0245[/tex]

 Area of triangle = 1/2 x base x height:

78 = 1/2 x base x 9 3/4

Multiply both sides by 2:

156 = base x 9 3/4

Divide both sides by 9 3/4:

Base = 16 inches

Answer:hello I'm from Philippines

Step-by-step explanation:

Answer:

708 km.

Step-by-step explanation:

3540/5=708

Answer:

708 km/h

Step-by-step explanation:

3540 / 5 = 708

Answer:

a) The answer is: (x + a, y + b)

b) The answer is: (-1, -2)

The initial coordinates are:

(x, y) = (-2, -5)

Let's find a and b.

a is a distance in x direction: a = 1

b is a distance in y direction: b = 3

The final position is:

(x + a, y + b) = (-2 + 1, -5 + 3) = (-1, -2)

Step-by-step explanation:

Answer:

Midpoint = [tex](\frac{1}{2},\frac{1}{2} )[/tex]

Step-by-step explanation:

[tex]i = \sqrt{-1}\\\\\\\sqrt{-80} = \sqrt{-1*16*5}\\\\\\\sqrt{-80} = \sqrt{-1}*\sqrt{16}*\sqrt{5}\\\\\\\sqrt{-80} = i*4*\sqrt{5}\\\\\\\sqrt{-80} = 4i\sqrt{5}\\\\\\[/tex]

Answer:

40% why? because 20+15=35 that is the total but they are saying 7 boys and 7 girls are in math and chees so is 14 14/35 is 40%

[tex]\frac{53}{42}[/tex]

Calculate

[tex]\frac{3}{7}+\frac{5}{6}[/tex]

Find common denominator and write the numerators above common denominator

[tex]\frac{3\times6}{7\times6}+\frac{5\times7}{6\times7}[/tex]

Calculate the product or quotient

[tex]\frac{18}{7\times6}+\frac{5\times7}{6\times7}[/tex]

[tex]\frac{18}{42}+\frac{5\times7}{6\times7}[/tex]

[tex]\frac{18}{42}+\frac{35}{6\times7}[/tex]

[tex]\frac{18}{42}+\frac{35}{42}[/tex]

Write the numerators over common denominator

[tex]\frac{18+35}{42}[/tex]

Calculate the sum or difference

[tex]\frac{53}{42}[/tex]

[tex]-\frac{7}{5}[/tex]

Calculate

[tex]-\frac{3\times7}{15}[/tex]

Cross out the common factor

[tex]-\frac{7}{5}[/tex]

I hope this helps you

:)

Answer:

5 gallons

Step-by-step explanation:

You divide the number of cups by 16 to find how many gallons are there in a certain amount of cups.

Answer:

y = -4x/3 + 10/3

Step-by-step explanation:

We find the slope of CD and get (-2 - 1)/(4 - 8) = -3/-4 = 3/4

The slope of a perpendicular line is the opposite reciprocal of the slope of the line it's perpendicular to, so we get a slope of -4/3.

We can use point-slope form and get (using point C):

y - (-2) = (-4/3)(x - 4) -->

y + 2 = -4x/3 + 16/3 -->

y = -4x/3 + 10/3

**NOTE** I can't see the picture (because of a problem on my computer) so if there is any info given there that isn't given in the text, then my answer will be incorrect.

We are given that:

Area of rectangle is given by:

[tex] \implies\quad{\pmb{ \sf{Area = length\times width}} }[/tex]

Hence, putting the values in the formula:

[tex] \implies\quad \sf{ A = l\times w}[/tex]

[tex] \implies\quad \sf{ 30\sqrt{3750}=3\sqrt{250}\times w}[/tex]

[tex] \implies\quad \sf{3\sqrt{250}\times w = 30\sqrt{3750} }[/tex]

[tex] \implies\quad \sf{ w =\dfrac{30\sqrt{3750}}{3\sqrt{250}}}[/tex]

[tex] \implies\quad \sf{ w =10\dfrac{\sqrt{3750}}{\sqrt{250}}}[/tex]

[tex] \implies\quad \sf{ w = 10\times\sqrt{\dfrac{3750}{250}}}[/tex]

[tex] \implies\quad \underline{\underline{\pmb{\sf{ w =10\sqrt{15}}}}}[/tex]

Answer:

You can opt to study the entire population when the population is well defined(Complete sampling frame) and small.

It can eliminate any potential bias occurring through sampling technique, but other than that it is really not justified to consume more resources and time.

If two people shared three hamburgers then each person would get one hamburger and a half. Since there are two people and three hamburgers, both people can get one hamburger and split the third. In decimal form, It would be 1.5

Answer:

The answer is 3 because 6÷2 which equal 3 which is represent the three hameburgers and 6÷2=3 because there would be 6 hamburgers to share between two people.

Answer:

The answer is 10 months

Step-by-step explanation:

Let's solve your equation step-by-step.

x2−2x+1=4

Step 1: Subtract 4 from both sides.

x2−2x+1−4=4−4

x2−2x−3=0

Step 2: Factor left side of equation.

(x+1)(x−3)=0

Step 3: Set factors equal to 0.

x+1=0 or x−3=0

x=−1 or x=3

Answer:

x=−1 or x=3

Answer:

Statement:

Reason:

Step-by-step explanation:

x + 2x + 90 = 180

3x + 90 = 180

3x = 90

x = 30°

Answer:

vefgdv

Step-by-step explanation:

fsssssssssssssssssssssss

Answer:

15, the second one.

Step-by-step explanation:

We can use this proportion:

[tex]\frac{centimeters}{meters}[/tex]

So, in this case:

[tex]\frac{5 centimeters}{20 meters}[/tex]=[tex]\frac{x centimeters}{60 meters}[/tex]

We can cross multiply, resulting in:

[tex]20x = 300 centimeters[/tex]

Divide both sides by 20, resulting in:

[tex]x = 15 centimeters[/tex]

Answer:

1/2 of the soda:) sure yan

Answer:

sorry i dont know

Step-by-step explanation:

The measure of the smallest angle of a tree with a hill is 60°.

The measure of the greatest angle of a tree with a hill is 120°.

Given:

A tree on a 30° slope grows straight up.

To find:

The measures of the

greatest and smallest angles the tree makes with the hill.

Solution:

In figure drawn:

[tex]\angle PQR = 30^o[/tex]

AB= Straight three

Construction:

Draw a parallel line CA to QR through point A.

Now,

[tex]\angle PQR = \angle PAC = 30^o\\\\\angle PAC +\angle PAB = 90^o \text{(Complimentary angles)}\\\\\angle PAB = 90^o -\angle PAC\\\\angle PAB=90^o-30^o=60^o[/tex]

The measure of the smallest angle of a tree with a hill is 60°.

[tex]\angle PAB + \angle BAQ= 180^o\text{(Supplementary angles)}\\\\ \angle BAQ= 180^o-\angle PAB \\\\ \angle BAQ=180^o-60^o=120^oC[/tex]

The measure of the greatest angle of a tree with a hill is 120°.

Learn more about complementary and supplementary angles here:

brainly.com/question/928628?referrer=searchResults

brainly.com/question/3027144?referrer=searchResults

Answer:

x = 52

Step-by-step explanation:

This is a picture of a right angle, which is 90 degrees. We should first make an equation to represent this problem.

(x - 12) + 50 = 90

1. Subtract 50 from both sides of the equation.

(x - 12) = 40

2. Add 12 from both sides of the equation

x = 52

The value of x is 52.

Answer:

52°

....

....

....

....

............

The sample size needed to get a standard error of 3 is 81

The given parameters are:

The standard error is calculated using:

[tex]SE = \frac{\sigma}{\sqrt n}[/tex]

So, we have:

[tex]3= \frac{27}{\sqrt n}[/tex]

Divide both sides by 3

[tex]1= \frac{9}{\sqrt n}[/tex]

Square both sides

1 = 81/n

Multiply both sides by n

n = 81

Hence, the sample size needed to get a standard error of 3 is 81

Read more about standard errors at:

https://brainly.com/question/6851971

Answer:

[tex]\$ 400[/tex].

Step-by-step explanation:

In this question, [tex]S[/tex] (sales price) and [tex]r[/tex] (discount rate) are both given. The unknown is the regular price, [tex]R[/tex].

Rearrange the discount equation to solve for [tex]R[/tex] in terms of [tex]S[/tex] and [tex]r[/tex].

[tex]S = R - r\, R[/tex].

[tex]S = (1 - r)\, R[/tex].

Divide both sides by [tex](1 - r)[/tex]:

[tex]\displaystyle \frac{S}{1 - r} = \frac{(1 - r)\, R}{1 - r}[/tex].

[tex]\begin{aligned}R &= \frac{S}{1 - r}\end{aligned}[/tex].

It is given that [tex]S = 320[/tex]. A mark-down of [tex]20\%[/tex] is equivalent to a discount rate of [tex]r = 20 / 100 = 0.20[/tex]. Substitute in [tex]S[/tex] and [tex]r[/tex] to find the value of [tex]R[/tex]:

[tex]\begin{aligned}R &= \frac{S}{1 - r} \\ &= \frac{320}{1 - 0.2} \\ &= \frac{320}{0.8} \\ &= 400\end{aligned}[/tex].

Thus, the regular price would be [tex]\$ 400[/tex].

[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-5}x+\underset{\stackrel{\uparrow }{b}}{0}\implies y=-5x[/tex]

Answer:

5 magazines per hour are manufactured

The social indicators that can be used to know the quality of life in campus are the number of hours spent in school, extra curricular activities, etc.

It should be noted that social indicators are used to monitor the social system.

The social indicators that can be used to know the quality of life in campus are the number of hours spent in school, extra curricular activities, etc. They're important to assess ones social life.

In conclusion, after necessary data has been collected m, a research can be made to know how the quality of life is affected by the data.

Learn more about indicators on:

https://brainly.com/question/485822

Answer:

$15.08

Step-by-step explanation:

When subtract 84.92 from 100 you get 12.08 which is how much he clerk should give back

Answer:

15.08

Step-by-step explanation:

Answer:   [tex]w \le 3000[/tex]

w is the weight of the truck in pounds.

Since w cannot be negative, we can write [tex]0 \le w \le 3000[/tex] or we could tack on the statement "w must be positive"

The phrase "at most" means "that is the largest w can get". Think of it as the ceiling.