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3 years ago

A spinner has 12 equal sections:5 red 4 green and the rest are black. In 921 spins how many times can you expect to spin black?

Mathematics

1 answer:

Komok [63]3 years ago

8 0

Answer:

230

Step-by-step explanation:

12 sections total

5 red, 4 green, the rest black

12-5-4 = 3 sections are black

3/12 = 1/4 of the sections are black

1/4 represents the probability of landing on black for one spin

(1/4)*921 = 230.25 which rounds to 230

We expect to land on a black section about 230 times out of 921 times total.

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Write an equation of the line below

gregori [183]

Answer:

The equation of the line is:

$y = 4x + 3$

Step-by-step explanation:

We know that the slope-intercept of line equation is

$y = mx+b$

Where m is the slope and b is the y-intercept

Given the two points on a line

(0, 3)

(-2, -5)

Finding the slope between (0, 3) and (-2, -5)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-5\right)$

$m=\frac{-5-3}{-2-0}$

$m=4$

We know that the y-intercept can be computed by setting x=0 and determining the corresponding y-value.

From the graph, it is clear:

at x = 0, y = 3

Thus, y-intercept = b = 3

Substituting m = 4 and b = 3 in the slope-intercept form of line equation

$y = mx+b$

$y = 4x + 3$

Therefore, the equation of the line is:

$y = 4x + 3$

8 0

2 years ago

A polling organization announces that the proportion of American voters who favor congressional term limits is 64 percent, with

kvasek [131]

Answer:

We are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.

Step-by-step explanation:

95 % confidence means that we are 95 % confident that the the proportion of American voters who favor congressional term limits is 64 percent.

95 % confidence means that of all the sample about 95 % values are within in the given range.

And only 5% sample are not included in the given parameter.

Margin of error is the amount of miscalculation or difference in change of circumstances from the obtained data.

3% margin of error usually occurs when the data size is small.

As the data size increases the margin of error decreases.

So this statement tells us that we are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.

Margin of error= z *σ/√n→

This indicates that as the sample size decreases the margin of error increases and vice versa.

3 0

3 years ago

Writing is not that easy...but grammarly can help! this sentence is grammatically correct, but it's wordy and hard to read :0

Alla [95]

Answer:

wow 1555

Step-by-step explanation:

no no dont touch me there this is y uhbeyufbeb

4 0

3 years ago

the bottom of a ladder must be placed 10 feet from a building. The ladder is 26 feet. How far above the ground does the ladder t

Sauron [17]

Answer:

<em>The ladder touches the wall at 24 feet from the ground.</em>

Step-by-step explanation:

The wall of the building, the ground, and the ladder form a right triangle, whose longer side is the length of the ladder.

In any right triangle, we can apply Pythagora's theorem to find any missing side length.

The ladder is 26 feet in length, the distance from the bottom of the ladder and the building is 10 feet. Calling H to the distance above the ground where the ladder touches the wall, then:

$26^2=10^2+H^2$