What are the coordinates of the vertices of A L'M'N'?

If 1/4 of a number is 10,what is thenumber?

ki77a [65]

Answer:

40

Step-by-step explanation:

10 x 4 = 40

so if it was 1/2 instead of 1/4 than it would be 20

5 0

2 years ago

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Solve for x. A. 6/3 B. 5 C. 12 D. 12.5

belka [17]

Answer:

x=12

Step-by-step explanation:

Using Proportion:

$\tt \cfrac{x}{16} =\cfrac{9}{x}$

$\tt x^2=9(16)$

$\tt x=12$

3 0

2 years ago

According to records, the amount of precipitation in a certain city on a November day has a mean of inches, with a standard devi

Mekhanik [1.2K]

Answer:

The probability that the mean daily precipitation will be of X inches or less for a random sample of n November days is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is mean amount of inches of rain and $\sigma$ is the standard deviation.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Mean $\mu$ , standard deviation $\sigma$

n days:

This means that $s = \frac{\sigma}{\sqrt{n}}$

Applying the Central Limit Theorem to the z-score formula.

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

What is the probability that the mean daily precipitation will be of X inches or less for a random sample of November days?

The probability that the mean daily precipitation will be of X inches or less for a random sample of n November days is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is mean amount of inches of rain and $\sigma$ is the standard deviation.

5 0

2 years ago

A projectile is fired at 571 mi hr. How fast is that in meters per second to the nearest whole value? Use the conversion factor

ELEN [110]

Answer:

Consider this: factors that are the same that are in the numerator and denominator of a fraction cancel out.

e.g. 20/30 = [2(10)]/[3(10)] = 2/3 This is because the 10 present in the numerator exactly equals the 10 present in the denominator.

We can use the above principle for these types of problems!

If the projectile is fired at 422 mi/hr, and we want to convert this speed into m/s, we just need to go through the following process:

422 mi/hr * 1610m/1mi * 1hr/60min * 1min/60s = 189 m/s

Step-by-step explanation:

3 0

3 years ago

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Find BC if B(8, -7) and C(-4, -2).

polet [3.4K]

4, -8

add the x's and add the y's

4 0

3 years ago