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3 years ago

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=31°, and CD = 1.6 feet. Find the length of BC to the nearest tenth of a foot.

Mathematics

2 answers:

son4ous [18]3 years ago

6 0

Answer:

3.1066≈3.1 feet

Step-by-step explanation:

3.1066≈3.1 feet

anastassius [24]3 years ago

3 0

Answer:

3.1

Step-by-step explanation:

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Adams arcade charges an entrance fee of $7.50 and 0.45 per game. Jims jamming does not charge an entrance fee but the games are

STALIN [3.7K]

Answer:

Step-by-step explanation:

cost of playing x games at Adams = 7.50 + 0.45x

cost of playing x games at Jims = 1.25x

1.25x = 7.50 + 0.45x

1.25-0.45x = 7.50

0.80x = 7.50

x = 7.50/0.80 = 9.375 , but x must be an integer.

The cost is never the same. When x ≤ 9, Adams costs more. When x ≥ 10, Jims costs more.

5 0

3 years ago

Find the point-slope form <br> through: (4, 3), parallel to y =7/6x + 1

pickupchik [31]

Answer: (y - 3) = 7/6 (x - 4)

Step-by-step explanation:

The formula for point slope form is (y-y₁) = m(x-x₁)

Parallel lines will always have the same slope, so the slope of the new line is still 7/6.

The line goes through point (4, 3),

so x₁ = 4, and y₁ = 3 as points are written as (x, y).

6 0

3 years ago

In a college student poll, it is of interest to estimate the proportion p of students in favor of changing from a quarter-system

Contact [7]

Answer:

n=206

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.09$ , we can use as prior estimate of p 0.5, since we don't have any other info provided, and we are interested in order to find the value of n, if we solve n from equation (a) we got: