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1 year ago

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A toy box contains eight green balls and four purple balls. Suppose you choose a ball at random and then replace it by putting i

t back in the toy box. You then choose a second ball. What is the probability that you have selected a green ball and then a purple ball?

1 answer:

Rus_ich [418]1 year ago

6 0

Answer:ye

Step-by-step explanation:

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Describe a real life multiplication situation for which an estimate makes sense

Drupady [299]

If you are trying to create a garden of potted plants, you would find out how much soil each pot needs/holds and multiply that by how many pots you plan to use. then you would go to the store for potting soil, which let’s say came in smaller packs and you need to purchase multiple. use multiplication estimation to estimate how many bags you’d need.
I know this is a dumb example...sorry this is one I remember from my fourth grade math teacher ahah

3 0

1 year ago

A student wants to know how far above the ground the top of a leaning flagpole is. At high noon, when the sun is almost directl

MariettaO [177]

Answer:

15.43 ft

Step-by-step explanation:

To solve this question, one should use the concept of similar triangles.

The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem. Therefore, the distance of the top of the pole to the ground is:

$14 in = 1.1667 ft$

$1.1667x=6*3\\x = 15.43$

The distance of the top of the pole to the ground is 15.43 ft.

4 0

1 year ago

Sati [7]

The solution
m = s + 5
<span>m - 4 = (3s) - 3 </span>
<span>(s + 5) - 4 = 3s - 3 </span>
<span>s + 1 = 3s - 3 </span>
<span>s = 3s - 4 </span>
<span>-2s = -4 </span>
<span>s = 2 </span>
<span>m = 7 </span>
<span>Check this: </span>

<span>m - 4 = 3s - 3 </span>
<span>7 - 4 = 3(2) - 3 </span>
<span>3 = 6 - 3 </span>
<span>3 = 3 </span>

<span>So Sandy is 2 and Megan is 7.</span>

5 0

1 year ago

High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers

mamaluj [8]

Answer:

The 95% confidence interval the average maximum power is (596.0 to 644.0)

Step-by-step explanation:

Average maximum of the sample = x = 620 HP

Standard Deviation = s = 45 HP

Sample size = n = 16

We have to calculate the 95% confidence interval. The value of Population standard deviation is unknown, and value of sample standard deviation is known. Therefore, we will use one sample t-test to build the confidence interval.

Degrees of freedom = df = n - 1 = 15

Critical t-value associated with 95% confidence interval and 15 degrees of freedom, as seen from t-table = $t_{\frac{\alpha}{2}}$ = 2.131

The formula to calculate the confidence interval is:

$(x-t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} }, x+t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} })$

We have all the required values. Substituting them in the above expression, we get:

$(620-2.131 \times \frac{45}{\sqrt{16} }, 620+2.131 \times \frac{45}{\sqrt{16} })\\\\ =(596.0 , 644.0)$

Thus, the 95% confidence interval the average maximum power is (596.0 to 644.0)

7 0

2 years ago

Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0,

lesya692 [45]

Answer:

A line passing through the points (-1,-4),(0,0) and (1,4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

Part 1) A line passing through the points (-4,0) and (0,-2)

This line not represent a direct variation, because the line not passes through the origin.

Part 2) A line passing through the points (-5,4) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 3) A line passing through the points (-4,-6) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 4) A line passing through the points (-1,-4),(0,0) and (1,4)

The line passes through the origin

Find out the value of k

$k=y/x$

For the point (-1,-4)

substitute

$k=-4/-1$

$k=4$

For the point (1,4)

substitute

$k=4/1$

$k=4$

The linear equation is

$y=4x$

This line represent a direct variation

6 0

1 year ago

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