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alexgriva [62]
3 years ago
13

A ladder is leaning against the side of a

Mathematics
1 answer:
Drupady [299]3 years ago
3 0

Answer: 8.94 ft

Step-by-step explanation:

The ladder leaning against the perpendicular wall forms a right angled triangle. As per Pythagorus theorem,

a^2 + b^2 = c^2

8^2 + b^2 = 12^2

64 + b^2 = 144

b^2 = 144 - 64 = √80= 8.94 feet

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A fisher usually catches 540kg of anchovies off El Niño,the fisher caught 85% less fish. How many kilograms of fish did the fish
Nookie1986 [14]
The fisherman caught 365kg During El Niño. You subtract 540kg by 85.
7 0
3 years ago
What is the answer for -12+x/11=-3
dem82 [27]

Answer:

x = 99

Step-by-step explanation:

<u>Step 1:  Solve for x</u>

-12 + x/11 + 12 = -3 + 12

x/11 * 11 = 9 * 11

x = 99

Answer:  x = 99

3 0
3 years ago
Life Expectancies In a study of the life expectancy of people in a certain geographic region, the mean age at death was years an
Sphinxa [80]

Answer:

The probability that the mean life expectancy of the sample is less than X years is the p-value of Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}, in which \mu is the mean life expectancy, \sigma is the standard deviation and n is the size of the sample.

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.

We have:

Mean \mu, standard deviation \sigma.

Sample of size n:

This means that the z-score is now, by the Central Limit Theorem:

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

Find the probability that the mean life expectancy will be less than years.

The probability that the mean life expectancy of the sample is less than X years is the p-value of Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}, in which \mu is the mean life expectancy, \sigma is the standard deviation and n is the size of the sample.

8 0
2 years ago
The school choir is going on a trip. They plan on bringing 100 total bottles of water and juice with them. Each bottle of water
jarptica [38.1K]

Answer:

40 bottles of juice

60 bottles of water

Step-by-step explanation:

let w represent water, let j represent juice. set up a system of equations:

w+2j=140

w+j=100

isolate the w by itself on the bottom equation:

w=100-j

solve the top equation by substitution, substituting 100-j for w:

w+2j=140

100-j+2j=140

100+j=140

j=40

this means that they bought 40 bottles of juice.

to find the amount of bottles of water the bought, substitute 40 for j in either of the equations (i did it in the bottom one, because it's easier):

w=100-j

w=100-40

w=60

so, they bought 60 bottles of water.

5 0
3 years ago
As a director of operations for a fast-food company, you oversee two of the company's restaurants. One of the stores reports the
Nina [5.8K]

Answer:

Total = 36%

Step-by-step explanation:

Given

Company A = 0.15

Company B = 21%

Required

Determine the total revenue

Total is calculated as thus:

Total = Company A + Company B

Total = 0.15 + 21%

Represent 0.15 as %

Total = 0.15*100% + 21%

Total = 15% + 21%

Total = 36%

6 0
3 years ago
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