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3 years ago

9

What is the solution to this equation x/-3=8 a.-18 b.2 c.18 d.-2

1 answer:

REY [17]3 years ago

5 0

Answer:

<em>x = -24</em>

Step-by-step explanation:

x/(-3) = 8

Multiply both sides by -3.

x = -24

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Circle J and circle K are shown in the diagram below.

vagabundo [1.1K]

Check the picture. There are 2 interior common tangents, and 2 exterior common tangents which can be drawn.

Answer: 4

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2 years ago

CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars

velikii [3]

Answer:

P(939.6 < X < 972.5) = 0.6469

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 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.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars.

This means that $\mu = 965, \sigma = 113$

Sample of 57:

This means that $n = 57, s = \frac{113}{\sqrt{57}} = 14.97$

Find the probability that a single randomly selected policy has a mean value between 939.6 and 972.5 dollars.

This is the pvalue of Z when X = 972.5 subtracted by the pvalue of Z when X = 939.6. So

X = 972.5

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

By the Central Limit Theorem

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

$Z = \frac{972.5 - 965}{14.97}$

$Z = 0.5$

$Z = 0.5$ has a pvalue of 0.6915

X = 939.6

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

$Z = \frac{939.6 - 965}{14.97}$

$Z = -1.7$

$Z = -1.7$ has a pvalue of 0.0446

0.6915 - 0.0446 = 0.6469

So

P(939.6 < X < 972.5) = 0.6469

3 0

2 years ago

HELP PLEASE! WILL GIVE BRAINLIEST TO THE BEST ANSWER!

RSB [31]

A:7 hope with helps :)

7 0

2 years ago

10 point to Help with this ?

DENIUS [597]

All the transformations for which A and B would be congruent are; Translation, Reflection, and Rotation.

<h3>What is congruence transformation?</h3>

A congruence transformation is defined as a movement of shape such that it can produce a shape that is congruent to the original.

There are three types of congruence transformation;

1. Translation

2. Reflection

3. Rotation

Given;

Shape B is made by applying a single transformation to shape A.

Hence, All the transformations for which A and B would be congruent are; Translation, Reflection, and Rotation.

Learn more about transformations ;

brainly.com/question/11352944

#SPJ1

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1 year ago

Element X decays radioactively with a half life of 12 minutes. If there are 690 grams of Element X, how long, to the nearest ten

Alexeev081 [22]

Answer:

the answer and explanation of the question is in the picture

Step-by-step explanation:

hope this helps

please like and Mark as brainliest

7 0

2 years ago