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dybincka [34]
3 years ago
7

Solve the equation for the specified variable Y=cd-8, for c

Mathematics
1 answer:
melomori [17]3 years ago
8 0
Y=cd-8
Add 8 to each side giving you
y+8=cd

Divide by d on each side giving you

C=(y+8)/d
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An airplane has 100 seats for passengers. Assume that the probability that a person holding a ticket appears for the flight is 0
zmey [24]

Answer:

96.33% probability that everyone who appears for the flight will get a seat

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 105, p = 0.9

So

\mu = E(X) = np = 105*0.9 = 94.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{105*0.9*0.1} = 3.07

What is the probability that everyone who appears for the flight will get a seat

100 or less people appearing to the flight, which is the pvalue of Z when X = 100. So

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

Z = \frac{100 - 94.5}{3.07}

Z = 1.79

Z = 1.79 has a pvalue of 0.9633

96.33% probability that everyone who appears for the flight will get a seat

7 0
3 years ago
What is he reciprocal of 3
LenKa [72]
1/3 because reciprocal is the opposite
4 0
3 years ago
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A 9-inch diameter pizza has 30 calories per square inch. About how many calories are in the entire pizza?
Yuliya22 [10]

Answer:

113.04 calories

Step-by-step explanation:

please mark answer as brainlest

8 0
3 years ago
Read 2 more answers
Someone please help me i’m so llst
kicyunya [14]

1+2 that what it is im juts joking idek how to solve that

4 0
3 years ago
Naomi is a sales person. She sold a calculator for $86 and earned 20% commission. How much commission did Naomi earn?
Free_Kalibri [48]

Answer:

$17.20

Step-by-step explanation:

Total commission = cost x percent commission rate

86 x 20 % = 17.20

Total commission = $17.20

3 0
3 years ago
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