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Artemon [7]
3 years ago
12

What is the sum of the areas of circle C and circle D?

Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0
141 units is the answer.
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Leila made 357 for 17 hours of work. At the same rate, how many hours would she have to work to make 105 ?
Sphinxa [80]

Answer:

Leila WILL MAKE 2,205$ IF SHE WORKS 105 HOURS

PLEASE GIVE BRAINLIEST

Step-by-step explanation:

4 0
3 years ago
Which is the algebraic representative for a rotation 180 degrees clockwise?
neonofarm [45]

Answer:

algebraic expression for 180 degree clockwise rotation about the origin (x,y) → (-y, x) algebraic expression for 270 degree clockwise rotation about the origin equals a 270 degree counterclockwise rotation 90 degree clockwise rotation equals a 90 degree counterclockwise rotation

Step-by-step explanation:

hope this helps

have an awesome day -TJ

3 0
2 years ago
Jose ha encontrado varios insectos. Hay 10 menos saltamontes que grillos. Hay 5 menos grillos que margaritas. Si Jose ha encontr
rewona [7]

Answer: There are 5 grasshoppers, 15 crickets and 20 ladybugs

Step-by-step explanation:

The question in english is:

Jose has found several insects. There are 10 less grasshoppers than crickets. There are 5 less crickets than ladybugs. If Jose has found 5 grasshoppers, how many ladybugs did he find and how many crickets? Write two equations to solve the problem.

Let's tag grasshoppers with g, crickets with c and ladybugs with c.

So, we are tolde there are 10 less grasshoppers than crickets:

g=c-10 (1) We have the first equation

Then, we are told there are 5 less crickets than ladybugs:

c=l-5 (2) This is the second equation

If g=5 and we substitute this in both equations we will have:

5=c-10 (3)

Isolating c:

c=15 (4) There are 15 crickets

Substituting (4) in (2):

15=l-5 (5)

Isolating l:

l=20 There are 20 ladybugs

Therefore:

There are 15 crickets and 20 ladybugs

6 0
3 years ago
The United States Coast Guard assumes the mean weight of passengers in commercial boats is 185 pounds. The previous value was lo
Valentin [98]

Answer:

There is a 5.5% probability that a random sample of passengers will have a mean weight that is as extreme or more extreme (either above or below the mean) than was observed in this sample.

Step-by-step explanation:

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

Normal probability distribution

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 random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

In this problem, we have that:

\mu = 185, \sigma = 26.7, n = 48, s = \frac{26.7}{\sqrt{48}} = 3.85

The weights of a random sample of 48 commercial boat passengers were recorded. The sample mean was determined to be 177.6 pounds. Find the probability that a random sample of passengers will have a mean weight that is as extreme or more extreme (either above or below the mean) than was observed in this sample.

The probability of an extreme value below the mean.

This is the pvalue of Z when X = 177.6.

So

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

By the Central Limit Theorem

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

Z = \frac{177.6 - 185}{3.85}

Z = -1.92

Z = -1.92 has a pvalue of 0.0274.

So there is a 2.74% of having a sample mean as extreme than that and lower than the mean.

The probability of an extrema value above the mean.

Measures above the mean have a positive z score.

So this probability is 1 subtracted by the pvalue of Z = 1.92

Z = 1.92 has a pvalue of 0.9726.

So there is a 1-0.9726 = 0.0274 = 2.74% of having a sample mean as extreme than that and above than the mean.

Total:

2*0.0274 = 0.0548 = 0.055

There is a 5.5% probability that a random sample of passengers will have a mean weight that is as extreme or more extreme (either above or below the mean) than was observed in this sample.

4 0
3 years ago
Is (8,2) a solution to the system of equations<br><br> x-y=6<br> 2x-10y=4
SVETLANKA909090 [29]
No! 2(8) - 10(2)
16 - 20 = -4!
8 0
3 years ago
Read 2 more answers
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