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Viefleur [7K]
3 years ago
6

Most people Just most people in the nine states use feet in miles to measure distance in there every day lives why do you scient

ists in the United States use meters to measure distance

Mathematics
1 answer:
babunello [35]3 years ago
8 0
The third answer should be the right one
You might be interested in
Find sin θ if cot θ = - 4 and cos θ < 0. - 17 square root of seventeen divided by seventeen negative one divided by four squa
Svetradugi [14.3K]

Alright, lets gets started.

We have given two things, cot Θ= - 4 and cos Θ < 0

Means both cot and cos are negative.

So, the quadrant in which Θ lies , is 2nd.

Because in 2nd quadrant, cos and cot both are negative.

Please refer the diagram attached.

Cot Θ = -4 means tan Θ = - 1/4

Means two sides, opposite = 1

adjacent = -4

We could find hypotenuse by using Pythagorean theorem.

Hypotenuse = sqrt (1^2 + -4^2) = sqrt (1+16)

Hypotenuse = √17

sin Θ = opposite / hypotenuse

sin Θ = 1/√17

Multiply and divide with √17

sin Θ = 1/√17 * √17/√17

sin Θ = √17/17 : Answer

Hope it will help :)

3 0
3 years ago
Read 2 more answers
Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large un
spayn [35]

Answer:

60.26% probability that less than twenty students are absent

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 120, p = 0.15.

So

\mu = E(X) = np = 120*0.15 = 18

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.15*0.85} = 3.91

If a random sample of 120 names is called on a Monday, what is the probability that less than twenty students are absent?

This is the pvalue of Z when X = 20-1 = 19. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{19 - 18}{3.91}

Z = 0.26

Z = 0.26 has a pvalue of 0.6026.

60.26% probability that less than twenty students are absent

3 0
3 years ago
Which of the following functions would result in a graph that is shifted three
Ivenika [448]

Answer:

B. f(x) = 4 log(x+3)

Step-by-step explanation:

B. f(x) = 4 log(x+3) : shifted three units to the left of g(x) = 4 logx

7 0
3 years ago
The coordinates of point P are (−3, 4). What are the coordinates of the point that is a reflection of point P over the y-axis? (
ahrayia [7]
The answer would be ( 3 , 4 )
7 0
2 years ago
Read 2 more answers
What are two equivalent ratios for 8/9
Georgia [21]
(16/18)
(24/27)

You just times 8 and 9 by the same number, like:
(8•2/9•2)=(16/18)
(8•3/9•3)=(24/27)

You could do any number:
(8•100/9•100)=(800/900)

8 0
3 years ago
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