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Nastasia [14]
2 years ago
8

The blueprints show the deep end of the pool as 8 feet below ground, which

Mathematics
1 answer:
zalisa [80]2 years ago
5 0
What’s the question here?
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Mike has a total of 50 quarters and dimes. The coins total value is $10.55. How many quarters
Mariana [72]

Answer:

Mike will only need 42 quarters to make 10.50

Step-by-step explanation:

3 0
2 years ago
The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard
dsp73

Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

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 normally distributed samples are 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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 104, \sigma = 14, n = 49, s = \frac{14}{\sqrt{49}} = 2

What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

This is the pvalue of Z when X = 106.8. So

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

By the Central Limit Theorem

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

Z = \frac{106.8 - 104}{2}

Z = 1.4

Z = 1.4 has a pvalue of 0.9192

0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

8 0
3 years ago
A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of
Marizza181 [45]
The first car went through 32.5 gallons and the second car went through 37.14 gallons of gas.
6 0
3 years ago
Help plzzz will give brainliest
lawyer [7]

Answer:

the answer is C hope this helps you

7 0
3 years ago
Read 2 more answers
Write explicit formula for a1=3, r=-2; then generate 1st 5 terms
Crazy boy [7]

Answer:

  • an = 3(-2)^(n-1)
  • 3, -6, 12, -24, 48

Step-by-step explanation:

These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.

a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.

  a1 = 3  (given)

  a2 = a1×r = 3×(-2) = -6

  a3 = a2×r = (-6)(-2) = 12

  a4 = a3×r = (12)(-2) = -24

  a5 = a4×r = (-24)(-2) = 48

The first 5 terms are 3, -6, 12, -24, 48.

__

The explicit formula for the terms of a geometric sequence is ...

  an = a1×r^(n -1)

Using the given values of a1 and r, the explicit formula for this sequence is ...

  an = 3(-2)^(n -1)

6 0
3 years ago
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