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3 years ago

15

What is 17.5% as a decimal?

1 answer:

Andreyy893 years ago

3 0

17.5% is the same as 17.5/100 this is equal to 0.175 as a decimal

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A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use 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.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$

SAT scores have a mean of 950 and a standard deviation of 155. This means that $\mu = 950, \sigma = 155$ .

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

$Z = \frac{1070 - 950}{155}$

$Z = 0.77$

ACT:

Scored 25, so $X = 25$

ACT scores have a mean of 22 and a standard deviation of 4. This means that $\mu = 22, \sigma = 4$

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

$Z = \frac{25 - 22}{4}$

$Z = 0.75$

Due to the higher z-score, he did better on the SAT.

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4 years ago

Let X represent the number of homes a real estate agent sells during a given month. Based on previous sales records, she estima

olchik [2.2K]

Answer:

The mean is 0.65

Step-by-step explanation:

See the attachment for step by step solution and interpretation.

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3 years ago

On average 60 patients stay in the hospital per day. The average stay is 3 days. How many people stay in the hospital per month

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About 2000 people stay in the hospital on average

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2 years ago

Consider the graph of the cosine function shown below.

nata0808 [166]

Answer:

a. Amplitude: 4

Period: 1

b. The maximum values occur at $\theta=0,1,2$

The minimum values occur at $\theta=\frac{1}{2},\frac{3}{2}$

The zeros occur at $\theta=\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4}$

Step-by-step explanation:

We can see from the graph that;

$-4\le f(x) \le 4$ .

This implies that;

$|A|=4$ .

The amplitude is 4.

The function also completed one full cycle on the interval [0,1]

The period is

$T=|1-0|=1$

The maximum values occur at $\theta=0,1,2$

The minimum values occur at $\theta=\frac{1}{2},\frac{3}{2}$

The zeros occur at $\theta=\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4}$

This is where the graph intersected the x-axis.

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3 years ago

HELP ME, pls :3 or whtever

4vir4ik [10]

Answer:

D.

Step-by-step explanation:

sec A = 1/sin A

cos theta = -2/sqrt(3)

sec theta = 1/[-2/sqrt(3)] = -sqrt(3)/2

Answer: D.

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2 years ago