Finding Distances from the Mean
The mean of the data is 44.7. Complete the chart to find the distances from the mean.
Of
Temp (°F)
2938
45
31
50
58
62
Distance
from the
Mean
15.7
6.7
13.7
y
13.3

Answer:

75 is the length of the third side

Answer:

The unknown side to the triangle is 75 cm.

Step-by-step explanation

Let x be the length of the unknown side:

x^2 + 40^2 = 85^2

x^2 + 1600 = 7225

x^2 = 7225 - 1600

x^2 = 5625

x = 75

Answer:

19.44

Step-by-step explanation:

We have the following information:

3 red balls, 5 green balls, and 1 yellow ball

In total there are 3 + 5 + 1 = 9 balls.

We calculate the probability of each:

Network: 3/9

Green: 5/9

Yellow: 1/9

Each one corresponds a price in profit or losses:

Network: 4

Green: -3

Yellow: 10

So in total it would be the sum of the multiplication of the probability and the price and then multiply everything by 25:

(4 * 3/9 + -3 * 5/9 + 10 * 1/9) * 25 = (0.777) * 25

= 19.44

Answer:

8/16

Step-by-step explanation:

there are 16 sides on the dice and there is only 8 number that are less than 9 so that makes it 8/16:)

Answer: There is a 8/16 chance of getting a number under 9.

Explanation: There is a total of 16 sides on the die. If you look at the die numbers 1, 2, 3, 4, 5, 6, 7, and, 8 are all numbers under 9. Which explains how there are 8 sides. Meaning 8 numbers are 8 sides and 16 total numbers are 16 total sides. Therefore the answer is 8/16.

Answer:

SAS

Step-by-step explanation:

Answer:

y=-3/2x+-9/2

Step-by-step explanation:

Answer:

M = 5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5−5m=−6m

−5+−5m=−6m

−5m−5=−6m

Step 2: Add 6m to both sides.

−5m−5+6m=−6m+6m

m−5=0

Step 3: Add 5 to both sides.

m−5+5=0+5

m=5

Answer:

4.5 cm

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r where r is the radius

28.3 = 2 * (3.14) *r

28.3 = 6.28 r

Divide each side by 6.28

28.3/6.28 = r

4.506369427=r

The approximate length of the radius is 4.5 cm

Answer:

If the graphs are parallel they are porportional

Step-by-step explanation:

Answer:

The best way to show and explain direct proportional relationships is by graphing two sets of related quantities. If the relation is proportional, the graph will form a straight line that passes through the origin.

Step-by-step explanation:

Please mark me most brainly... :)

Answer:

x [tex]\geq[/tex] -4

Step-by-step explanation:

-7x+13≥41

     -13 -13

   -7x ≥ 28

    -7     -7

      x ≥ -4

Answer:

5

Step-by-step explanation:

In this question the slope would be 5.

y= mx + b is the equation being used.

y = 5x -1

m = slope

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Value of 4 in 42,672   = 40,000

Value of 4 in 37,426  = 400

40,000 ÷ 400 =100

Value of 4 in 42,672 is 100 times greater than value of 4 in 37,426

Answer:

The members slope is flatter by half compared to the non-members slope. The graphs intersect at 600 tokens and $120. Until that point the cost for non-members is less than the cost for members. After 600 tokens the cost for members is less than the cost for non-members.

Step-by-step explanation:

I hope I have your equations correct:

Member:

y = 1/10x + 60

Non-Member:

y = 1/5x

The graph of a non-member yearly cost will have a slope of 1/5 and a y-intercept, of 0 while the graph of a member's yearly cost will have a slope of 1/10 and a y-intercept of 60 tokens.

According to the question;

In essence; the mathematical equation for a member is;

For a non-member;

Ultimately, the graph of a non-member yearly cost will have a slope of 1/5 and a y-intercept, of 0 while the graph of a member's yearly cost will have a slope of 1/10 and a y-intercept of 60 tokens.

Read more on graphs of straight line;

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Answer: 118 feet

Step-by-step explanation:

For a rectangular shape: Area = W × L

450 = 9 × L

450 ÷ 9

L = 50

Perimeter of a rectangular shape = 2L + 2W

Perimeter = (2 × 50) + (2 × 9)

= 100 + 18 = 118 feet

Answer:

1/6

Step-by-step explanation:

no matter what, the die always has the same probability of landing on one specific number.

Really hope this helps!!

stay safe :0)

The required probability of both dice landing on 4 is 1/6.

The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

If we already know that the first die has landed on 4, then the probability of the second die landing on 4 is the same as the probability of a single die landing on 4, which is 1/6.

This is because the two dice are independent of each other, and the outcome of the first die does not affect the outcome of the second die.

Therefore, the probability of two dice landing on 4 given that the first die has landed on 4 is 1/6 or approximately 0.1667.

more about probability here:

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Answer:

I think it is A but the other person might be right

Look at the attached picture

Hope it will be helpful to you...

Answer:

1. 3

2. 3

3. 15

Step-by-step explanation:

Answer:

40°

Step-by-step explanation:

complementary angels makes the sum of two angles = 90°

so

<ABC + < CBD = 90°

if <ABC = 50°

then 90° - 50° = 40°

Answer:

y = - 2, x = 2

Step-by-step explanation:

Remove x and solve for y

2x - 2x - 5y - y = 12

-6y = 12

y = - 2

Substitute y back into the equation

-2 + 2x = 2

2x = 4

x = 2

Answer:

The graph will start at the origin and slope up and to the right.

Using graph, the relationship between time x, and distance from home, y can be shown. The graph will start at the origin and go up to the right the best option is D.  

A graph is "diagrammatic or pictorial representations of collections of data in a organized manner".

According to the question,

The horizontal line or x-axis of the graph represents time taken during walk and the vertical line or y-axis of the graph represents distance traveled with respect to time.

Since walking start at home is taken as origin in the graph and reaching to school is noted in go up to the right of the graph.

Hence, using graph, the relationship between time x, and distance from home, y can be shown. The graph will start at the origin and go up to the right the best option is D.  

Learn more about graph here

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Answer:

75

Step-by-step explanation:

700-400=300

6-2=4

300/4=75

Answer:

75 ft per hour.

Step-by-step explanation:

because

Answer:

Step-by-step explanation:

Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;

a is the base edge

a² is the base area

h is the slant height

Given Volume of the pyramid V = 384m³

Base area a² = 144m²

h =?

On substituting to get the slant  height;

[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]

The slant height of the pyramid is 8m

Answer:

Step-by-step explanation:

x = 9/5

The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that the equation is,

[tex]x^2 + 3x - 9 = 0[/tex]

Now completing the square as

[tex]x^2 + 3x - 9 = 0[/tex]

Add and subtract by 9/4,

[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]

[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]

Taking square root on both sides,

[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]

Therefore, the solution of an equation is,

[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]

To learn more about the quadratic equation visit:

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Answer:

The answer is 1 /2

Step-by-step explanation:

Cos, tan and sin are all positive in the first quadrant, but depends on the direction of the angle. Reference angle here we are looking for is the one in relation to the quadrant cos 5pi/3.

Any multiples of cos outside 2nd quadrant will give a positive value.

cos 5pi/3  is located in the 4th quadrant, while, cos pi/3 is located in the 1st quadrant, where the cos ratio has a positive value.

In terms of cosine, anytime the angle falls on the first or fourth quadrant it will always produce a positive graph.

For cos 5pi/3, cos pi/3 and cos 7pi/3 will give the same answer as "1/2" or "0.5" because, cos pi/3 will give 60 degrees which fall in the first quadrant

If "R" is a real number, for all R multiplied by pi/3,  the new value gives an angle in the first or fourth quadrant, the angle will be 0.5

The exact value of  cos 5 ( π /3 )  is  1 /2 .

Answer:

-18√10

Step-by-step explanation:

You use the rule √a·b = √a·√b:

(6√2)(−3√5) = 6·-3√2√5 = -18√(2·5) = -18√10

Answer:

Step-by-step explanation:

Answer:

answer: B

Step-by-step explanation:

The answer is 12

Ham, swiss, mustard

Ham, swiss, mayonnaise

Ham, provolone, mustard

Ham, provolone, mayonnaise

Turkey, swiss, mustard

Turkey, swiss, mayonnaise

Turkey, provolone, mustard

Turkey, provolone, mayonnaise

Roast beef, swiss, mustard

Roast beef, swiss, mayonnaise

Roast beef, provolone, mustard

Roast beef, provolone, mayonnaise

Answer:

There is no graph.

But 1 would be a good estimate if f(-3)=1

Step-by-step explanation:

Answer:

12 = k

Step-by-step explanation:

Begin: 27.5 = 3 + 5 (k-9.5)

1. Always begin with the parenthesis, which is 5(k-9.5), which comes out to be 5k - 47.5 since the 5 must be multiplied by the k and the -9.5.

Now: 27.5 = 3 + 5k - 47.5

2. Combine the 3 and -47.5, which comes to be -44.5

Now: 27.5 = -44.5 + 5k

3. Add 44.5 to both sides, to make the right side have only the 5k, and the left side to have 72

27.5 + 44.5 = -44.5 + 44.5 + 5k

Now: 72 = 5k

4. Divide both sides by 5 to be left with just what k equals

72/5 = 5k/5

Final Answer: 12 = k