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3 years ago

Prove that the two circles shown below are similar.

Mathematics

2 answers:

Mice21 [21]3 years ago

4 0

If you display Circle D by 2, you can see that they are the same :) hope this helps

marshall27 [118]3 years ago

3 0

Answer: If you dialate Circle D by 2, they would be the same circle.

Step-by-step explanation:

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Please help! I am confused

Levart [38]

I would say the 60 + 20 represents how the shirts cost the same amount. Then I would say the x either represents the cost before tax or how to find the cost of the shirts.

I hope this helps!
Good Luck!

3 0

3 years ago

Read 2 more answers

We measure the strength of the link between two statistical variables using the correlation coefficient. Here are the values of

ira [324]

Answer:

B) 0.9, 0.45, -0.77, -0.95

Explanation:

The correlation coefficient is a statistical measure that indicates the strength of the relationship between two variables. The value usually ranges from -1 to 1 where:

• 1 indicates a strong positive relationship.

• -1 indicates a strong negative relationship.

• A result of 0 indicates no relationship at all.

Therefore, the given correlation coefficients classified from the strongest to the weakest is:

$0.9,0.45,-0.77\text{ and -0.95}$

The correct choice is B.

5 0

2 years ago

Mikayla is a waitress who makes a guaranteed $50 per day in addition to tips of 20% of all her weekly customer receipts, t. She

motikmotik

$50 per day x 6 days = 300

20% = 0.2, times t = 0.2t

The equation would be: f(t) = 300 + 0.2t

7 0

3 years ago

Read 2 more answers

Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper c

aalyn [17]

Answer:

a) This means that there is a 33% probability that one car chosen at random will have less than 49.5 tons of coal.

b) There is a 0.04% .probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal

Step-by-step explanation:

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.

In this problem, we have that:

The actual weights of coal loaded into each car are normally distributed, with mean = 50 tons and standard deviation = 0.9 ton. This means that $\mu = 50, \sigma = 0.9$

(a) What is the probability that one car chosen at random will have less than 49.5 tons of coal? (Round your answer to four decimal places.)

This is the pvalue of Z when $X = 49.5$

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

$Z = \frac{49.5 - 50}{0.9}$

$Z = -0.44$

$Z = -0.44$ has a pvalue of 0.33.

This means that there is a 33% probability that one car chosen at random will have less than 49.5 tons of coal.

(b) What is the probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal? (Round your answer to four decimal places.)

Now we have to use the standard deviation of the sample, since we are working with the sample mean. That is

$s = \frac{\sigma}{\sqrt{n}} = \frac{0.9}{\sqrt{35}} = 0.15$