The winning height for the men's Olympic high jump has been increasing each year. A regression line of the data is y = 0.23x + 70.8, where
y is the height of the men's winning jump in inches and x is the number of years since the first Olympics in 1896.
Which statement best describes the meaning of the y-intercept of the regression line?
A. The winning men's high Jump helght of the first Olympics was about 0.23 inches.
B. The winning men's high jump helght of the first Olympics was about 70.8 inches.
C. Each year the winning men's high jump helght is predicted to increase by 0.23 inches.
D. Each year the winning men's high jump helght is predicted to increase by 70.8 inches.

Answer:

a9 = 26

Step-by-step explanation:

nth term of an arithmetic sequence an = a + (n-1)d

a16 = a+15d = 12.... 1

a7 = a+6d = 30.....2

Subtract

15d - 6d = 12 - 30

9d = -18

d =-18/9

d = -2

Substitute d = -2 into 1

a + 15d = 12

a+15(-2) = 12

a - 30 = 12

a = 12 + 30

a = 42

Get a9;

a9 = a+8d

a9 = 42+8(-2)

a9 = 42 - 16

a9 = 26

hence the 9th term of the sequence is 26

Answer:

4.2%

Step-by-step explanation:

The horizontal distance, x (Run) = 22 feets

Rise, vertical distance, y = 11 inches

The slope is the ratio of the vertical to the horizontal distance, Rise to Run

Slope = Rise / Run

Converting to the same unit ;

Foot to inches

1 foot = 12 inches

Hence, x = 22 feets = (12 * 22) = 264 inches

Slope = Rise / Run = 11 / 264 = 0.04167

Slope = 0.04167 * 100% = 4.167%

Answer:

16 2/3

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

no, because 24 is not divisible by five. If you divide 24/5, you will be left with 4+4/5, and you can't have 4/5 of a piece and have them all be the same length

Answer:

V = 23 cm 3

Step-by-step explanation:

Answer: C. 10x-3

Step-by-step explanation: I got this question correct on Edmentum.

The value of the expression will be 10x – 3. Then the correct option is C.

The value that approaches the output for the given input value. Limits are a very important tool in calculus.

The function is defined as,

f(x) = 5x² – 3x + 2

Then the value of the expression will be

[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}[/tex]

Substitute the value of the function, then the value of the expression will be

[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5(x+h)^2 - 3(x + h) + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5x^2 + 5h^2 + 10xh - 3x - 3h + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{ 5h^2 + 10xh - 3h }{h}\\[/tex]

Simplify the equation further, then we have

[tex]\rightarrow \displaystyle \lim_{h \to 0} 5h + 10x - 3 \\[/tex]

Substitute the value of the h = 0, then the value of the expression will be

⇒ 5(0) + 10x – 3

⇒ 10x – 3

Then the correct option is C.

More about the limit link is given below.

https://brainly.com/question/8533149

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Answer:

1. C

2.B

Step-by-step explanation:

Force is a push or a pull.. can be a twist too

to make an object move you have to apply force by pushing of pulling the object.

Answer:

-131

Step-by-step explanation:

You should add the minus sign before the number 131

Answer:

2. dM/dt = -0.11M

Step-by-step explanation:

Differential equations for proportional amouts:

A differential equation for proportional amounts is given by:

[tex]\frac{dx}{dt} = ax[/tex]

In which a is the constant rate. If the amount increases, a is positive. If it decays, b is positive.

In this question:

Decays, so a < 0.

Proportional to the amount of the substance present at a given time, which means that a multiplies the amount M.

This means that the correct answer is given by option 2.

Answer:

List all the factors of 40

Step-by-step explanation:

Answer:

x + (3-2) = 12

Step-by-step explanation:

x + (3-2) = 12

or x + 1 = 12

so x = 11

Answer:

=8x+132

Step-by-step explanation:

Combine Like Terms:

=7+8x+45+80

=(8x)+(7+45+80)

=8x+132

Give me brainllest plz T-T

Answer: D!! also 35% are spotted

Answer:

The answer is a.

Step-by-step explanation:

This is because the percent is out of 100 and the flock of spotted sheep is placed in the numerator.

Answer:

343

Step-by-step explanation:

f(x) = x - 1 and g(x) = x^3

g(f(8))

First find f(8) = f(8-1) = 7

Then find g(7) = 7^3 = 343

g(f(8) = 343

Answer:

I will assume that you meant to type (g o f)(8).

First we find f(8).

f(8) = 8 - 1 or 7.

We now find g(f(8)), which means g(7).

g(7) = 7^3 or 343

(g o f)(8) = 343:

Answer:

1/8 teaspoon of vanilla is needed to make 5 cookies

Step-by-step explanation:

1) 1/2 teaspoon of vanilla makes 20 cookies

2) you only need 5 cookies which is 1/4 as many cookies as before

3) you must 1/4 your recipe

4) 1/2 divided by 4 = 1/8

Answer:

The calculated test  |Z| = |-1.55| >1.405 at 0.08 level of significance

The null hypothesis is rejected at a 0.08 level of significance.

An Alternative hypothesis is accepted

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour

Step-by-step explanation:

Step(i):-

Given that the mean life of a certain type of light bulb is at least 754 hours

Given that the random sample size 'n' =29

Given that the mean life of sample x⁻ = 737

Given that the standard deviation of the Population = 59

Step(ii):-

Null hypothesis: H₀: μ≥ 754

Alternative Hypothesis:H₁: μ≤ 754

Test statistic

           [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

           [tex]Z = \frac{737-754 }{\frac{59}{\sqrt{29} } }[/tex]

           Z =  -1.55

The calculated test  |Z| = |-1.55| >1.405 at 0.08 level of significance

The null hypothesis is rejected  at 0.08 level of significance

Final answer:-

The calculated test  |Z| = |-1.55| >1.405 at 0.08 level of significance

The null hypothesis is rejected at a 0.08 level of significance.

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour

Answer:

$7.75

Step-by-step explanation:

Given: Adults = 4, Children = 5, All worth = $15, Total cost = $71, Each child's ticket = $5

To find: How much the adult tickets are

Solution: Use the 5 tickets at $5 to get $25

Add the $15 for concessions to reach $40

                            25 + 15 = 40

Subtract $40 from the 71 spent to get $31

                            71 - 40 =  31      

Now, divide the 31 by 4 for the number of adults which equals $7.75

                             31 ÷ 4 = 7.75

So, the cost of the adults' tickets is $7.75

Answer:

It's 18

Step-by-step explanation:

30/100 x 60/1

180/100 =18

Answer:

18

Step-by-step explanation:

Here. We are going to multiply both sides of the equation by this fraction 100 over 30 100 over 30.

The Answer Is Y=-8x

This is because x is multiplied by -8 to find y.

Answer:

3

Step-by-step explanation:

I think

Answer:

less than or equal to 3

Step-by-step explanation:

Answer:

New coordinates of the point Z are (-6, 9)

Step-by-step explanation:

If a point (x, y) is rotated 180° about the origin, coordinates of the image point is given by the rule,

(x, y) → (-x, -y)

Coordinates of the vertex Z → (6, -9)

Following the same rule,

Z(6, -9) → Z'(-6, 9)

Therefore, coordinates of the new (image) point will be (-6, 9).

Answer:

40

Step-by-step explanation: pls I need points make brainpy

Answer:

C

Step-by-step explanation:

Aaron received four stamps. He already had eight times as much. 32 + 4. Before pasting the stamps into albums, Aaron divides them equally into three envelopes. (32 + 4) ÷ 3.

Answer:

sorry I need points

Step-by-step explanation:

so so so sorry :(

Answer:

65

Step-by-step explanation:

using the ratio we can find the side lengths of the other triangle.

since it is 2:5

6:x=2:5

so x = 15(first side)

8:x=2:5

so x = 20(second side)

12:x=2:5

x=30(third side)

so then we add them up

15+20+30

65

hope this was helpful

Answer:

3(y+z)

Step-by-step explanation:

y+z is added first so it is in parentheses and then multiply by the 3

Answer:

B          (-2x - 3 )(x - 7) =  (x - 7)(-2x - 3 )

Step-by-step explanation:

y = -2x² + 11x + 21

find x when y is zero  (the ground)

(-2x - 3 )(x - 7) = 0

(-2x - 3 )  = 0,   (x - 7) = 0

  x = -1.5   and   x = 7   since Jon did not throw the ball behind him (remember he is standing on a platform)  the only possible answer is 7 feet in front of him, but they the question didn't ask for x, so I would answer B.  The answer I got and multiplicans are in reverse order from their choice.

The  factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground is (x-7)(-2x-3)

A quadratic equation is a second-order polynomial equation in a single variable x , ax² +bx+c=0. with a ≠ 0 .

Given that Jon throws a ball into the air off a platform.

The height of the ball is given by y equal minus 2 x to the power of 2 plus 11 x plus 21

y= -2x² + 11x + 21.

Let us factor out the equation by quadratic equation

-2x² + 11x + 21

When we factor out the equation becomes as (x-7)(-2x-3)

Let us verify the solution by applying distribution property

-2x²-3x+14x+21

-2x²+11x+21

Hence, (x-7)(-2x-3) is the  factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground.

To learn more on Quadratic equation click:

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E.

It gives a very precise question which will give much data.