1. Scientists randomly select ten groups from a population of men over 50 years old. They calculate the mean
weights of each of these groups. The variability between these means can be best attributed to
(1) measurement variability
(3) induced variability
(2) natural variability
(4) sampling variability

Answer:

-2 =m

Step-by-step explanation:

–15 = 4m – 7

Add 7 to each side

–15+7 = 4m – 7+7

-8 = 4m

Divide each side by 4

-8/4 = 4m/4

-2 =m

The trampoline is 10 units off the ground.

The maximum height of the acrobat is 18 units, and it takes 1 second to reach this height.

We have,

To find the height of the trampoline off the ground, we need to determine the value of f(x) when x is equal to zero.

This is because at the moment the acrobat jumps (x=0), the height of the acrobat is the height of the trampoline.

Given the function f(x) = -8x² + 16x + 10, we substitute x=0 into the function:

f(0) = -8(0)² + 16(0) + 10

f(0) = 0 + 0 + 10

f(0) = 10

Now,

To find the maximum height of the acrobat and the time it takes to reach this height, we can observe that the function f(x) is in the form of a quadratic equation in the form of ax² + bx + c, where a = -8, b = 16, and c = 10.

The maximum height of the acrobat occurs at the vertex of the quadratic function.

The x-coordinate of the vertex is given by:

x = -b / (2a)

Substituting the values, we have:

x = -16 / (2 * -8)

x = -16 / -16

x = 1

The time it takes to reach the maximum height is 1 second.

To find the maximum height, substitute the value of x back into the function:

f(1) = -8(1)² + 16(1) + 10

f(1) = -8 + 16 + 10

f(1) = 18

Therefore,

The trampoline is 10 units off the ground.

The maximum height of the acrobat is 18 units, and it takes 1 second to reach this height.

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Answer:

C.

Step-by-step explanation: im pretty sure because if you look at Ed its 5 and then if you add the same sides twice its 10 hopefully im right

Answer: 0.5

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

g

f

​  

)(x)=  

4−5x

3x+2  f (2) = 2(2) = 4

g(2) = (2) + 4 = 6

h(2) = 5 – (2)3 = 5 – 8 = –3

Now I can evaluate the listed expressions:

(f + g)(2) = f (2) + g(2)

= 4 + 6 = 10

(h – g)(2) = h(2) – g(2)

= –3 – 6 = –9

(f × h)(2) = f (2) × h(2)

= (4)(–3)= –12

(h / g)(2) = h(2) ÷ g(2)

= –3 ÷ 6 = –0.5

​

Step-by-step explanation:

By looking where the functions intercept, we conclude that the correct option is x = -2.8.

Here we have:

To find a solution of f(x) = g(x), we can graph both equations on the same axis, and see where the curves intercept.

The graph can be seen below:

There, we can see that we have intercepts at:

x = -2.8

x = 0.8

x = 2.9

From these, the only one that appears in the options is the first one, so that is the correct option.

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Answer:

work is shown and pictured

Answer:

-20

Step-by-step explanation:

because if you put -20 over 4, that simplifies out to -5

Answer:

x= -20

Step-by-step explanation:

To solve this problem, we have to get x by itself.

x/4= -5

x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.

4*(x/4)=(-5)*4

The 4s on the left cancel, so we are left with:

x=-5*4

x=-20

To check our solution, we can substitute -20 back in for x.

x/4=-5

-20/4=-5

-5= -5

This is true, so we know that -20 is the solution.

Answer

y-1=5(x-2)

Step-by-step explanation:

1-(-4) =5

2-1=1

y/x = 5/1 =5

(2,1)

y-1=5(x-2)

Answer:

$7.45

Step-by-step explanation:

Answer:

8 is the answer

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

Answer:

Yellow

Step-by-step explanation:

As the ratios of all gum all’s in a comparison yellow has the most

Answer:

-6 x -6

Step-by-step explanation:

2 negatives equal a positive

Answer:

total paper required = 57 cm²

Step-by-step explanation:

given data

slant height b = 4 cm

base side h = 3 cm

block height  h1 = 2 cm

solution

we get surface area of right squared pyramid by add here areas of all 4 triangles that is express as

area = 4 × Area of Triangles

area = 4 × [tex]\frac{bh}{2}[/tex]  

area = 4 × [tex]\frac{4\times 3}{2}[/tex]  

area = 24 cm²

and

surface are of the box is equal to the area of its 4 side faces + base

area = 4 × ( h × h1 ) + h²  

area = 4 × ( 3 × 2 ) + 3²

area = 24 + 9

area = 33 cm²

so total paper required = 24 + 33

so total paper required = 57 cm²

Answer:

Hi there!

The following answers:

3. 7 c > 3 (1/4) pt   4. 5 gal > 18 qt

5. 45 cm = 450 mm 6. 4.5 km < 5000 m

Step-by-step explanation:

There are 2 cups in one pint.

There are 4 quarts in one gallon.

One kilo meter is 1000 meters.

Answer: a

Step-by-step explanation:

Answer:

show the diagram so l can help you to solve it

Answer:

its 148

Step-by-step explanation:

i just answered it, you're welcome.

Answer:

74 ft

Step-by-step explanation:

[tex]-4^{2}[/tex] + 19(4) + 14

-16 + 76 + 14

74

Answer:

Step-by-step explanation:

Surface area = 2bs + b^2

b = base

s = slant height

Answer:

Surface area = 2bs + b^2

Step-by-step explanation:

Answer:

1/30 or 3.333%

Step-by-step explanation:

Step-by-step explanation:

A) Divide 1.68 into 3, the answer will be the answer to the question.

B) Times the answer to question a by 5

I hope this helped! If it did could you add me as brainliest, I’m trying to rank up!

Answer:

18.6 inches

Step-by-step explanation:

As we have the scale between the model and the real skyscraper, and we also have the height of the real building, to find the height of the model we just need to use a rule of three:

1 inch -> 75 feet

x inches -> 1395 feet

x*75 = 1*1395

x = 1395 / 75

x = 18.6 inches

The height of the model skyscraper is 18.6 inches.

Answer:

6

Step-by-step explanation:

By definition,  the constant difference for a hyperbola is:

d = |PF1 - PF2|

where PF1 is the distance between points P and F1, and PF2 is the distance between points P and F2

Let's call F1 to (-3, 0), F2 to (3, 0) and P (7, 0). Then, the distances are:

PF1 = √[(-3 - 4)² + (0 - 0)²] = 7

PF2 = √[(3 - 4)² + (0 - 0)²] = 1

And the the constant difference is:

d = |7 - 1| = 6

Answer:

If the Angles are 125 + 150+ 65 then the missing angle is 20.

Step-by-step explanation:

All angles need to add up to 360 degrees.

Answer:

c) 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality

Step-by-step explanation:

4x + 1/2(10x − 4) = 6

4x + 5x − 2 = 6  distirbuted 1/2 to 10x - 4

9x − 2 = 6 combinded like terms: x

9x = 8  addtion to the right side with 2

x = 8/9 divide by 9

The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality options third and fourth are correct.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have the equation:

[tex]\rm 4x+\frac{1}{2} (10x-4)=6[/tex]

4x + 5x -2 = 6  (Multiplication proeprty of equality or Distributive property)

9x - 2 = 6          (combine like term)

9x = 8               (addition property of equality)

x = 8/9               (division property of equality)

Thus, the justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality options third and fourth is correct.

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Answer:

A. 19m

Step-by-step explanation:

3(6m) + m

Distribute:

18m + m

Add like terms:

19m

Answer:

The second one.

Step-by-step explanation:

The area of the triangle has an area that is half the area of the rectangle.

A straight line divides the rectangle directly in half, creating two triangles, each triangle being half the area of the rectangle

Answer:

The triangle has an area that is half the area of the rectangle

Step-by-step explanation:

The product of the expressions is 1/3a option the second 1/3a is correct after simplification.

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

We have an expression:

[tex]=\rm \dfrac{a-3}{15a} \times \dfrac{5}{a-3}[/tex]

After simplification:

[tex]=\rm \dfrac{1}{15a} \times \dfrac{5}{1}[/tex]

= 1/3a

Thus, the product of the expressions is the 1/3a option the second 1/3a is correct after simplification.

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Answer:

4900 In. Squared

Step-by-step explanation:

The formula for calculating volume is Length X Base X Height

So as you can see, the way you would solve this problem si by doing

10 X 14 X 35 which would give you the final answer of

4900 Inches Squared or 4900 In.2

Answer:

15

Step-by-step explanation:

28 - 13 = 15