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Ivanshal [37]
2 years ago
10

Basir buys 4 small drinks for $6.Write an equation to represent the cost,c,for d small drinks

Mathematics
2 answers:
Furkat [3]2 years ago
7 0

Answer: $6.00/4= $1.50.

Step-by-step explanation: Divide the $6 in 4. 4 goes into 6 one time and 6-4=2. Bring the 0 down. That’s 20. 4 goes into 20 five times. You’ll get 0 after you subtract that. Bring the 0 down. 4 goes into 0 zero times. Put the 0 on the “roof”. You’ll get $1.50

KiRa [710]2 years ago
5 0

Answer:

4c = $6

4c/4 = $6/4

c = $1.50

Step-by-step explanation:

Each small drink costs $1.50.

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Valentin [98]

Answer:

Fifth graders= 93 shirts

Sixth graders= 156 shirts

Teachers= 51 shirts

Step-by-step explanation:

31% of 300 is 93

52% of 300 is 156

The total number of shirts sold to fifth graders and sixth graders is:

156+93= 249

The number of shirts sold to teachers is:

300-249= 51

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Given P(A) = 0.56, P(B) = 0.45 and P(B|A) = 0.7, find the value of
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Answer:

P(A and B) = P(AnB)

Step-by-step explanation:

P( \frac{A}{B} ) =  \frac{P(AnB)}{P(B)}  \\from \: bayes \: theorem \\  P(AnB) = P(B) \times P( \frac{A}{B}) \\  = 0.45 \times 0.7 \\  = 0.315

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Majesty Video Production Inc. wants the mean length of its advertisements to be 26 seconds. Assume the distribution of ad length
Paladinen [302]

Answer:

a) By the Central Limit Theorem, approximately normally distributed, with mean 26 and standard error 0.44.

b) s = 0.44

c) 0.84% of the sample means will be greater than 27.05 seconds

d) 98.46% of the sample means will be greater than 25.05 seconds

e) 97.62% of the sample means will be greater than 25.05 but less than 27.05 seconds

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 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(also called standard error) 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.

In this problem, we have that:

\mu = 26, \sigma = 2, n = 21, s = \frac{2}{\sqrt{21}} = 0.44

a. What can we say about the shape of the distribution of the sample mean time?

By the Central Limit Theorem, approximately normally distributed, with mean 26 and standard error 0.44.

b. What is the standard error of the mean time? (Round your answer to 2 decimal places)

s = \frac{2}{\sqrt{21}} = 0.44

c. What percent of the sample means will be greater than 27.05 seconds?

This is 1 subtracted by the pvalue of Z when X = 27.05. So

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

By the Central Limit Theorem

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

Z = \frac{27.05 - 26}{0.44}

Z = 2.39

Z = 2.39 has a pvalue of 0.9916

1 - 0.9916 = 0.0084

0.84% of the sample means will be greater than 27.05 seconds

d. What percent of the sample means will be greater than 25.05 seconds?

This is 1 subtracted by the pvalue of Z when X = 25.05. So

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

Z = \frac{25.05 - 26}{0.44}

Z = -2.16

Z = -2.16 has a pvalue of 0.0154

1 - 0.0154 = 0.9846

98.46% of the sample means will be greater than 25.05 seconds

e. What percent of the sample means will be greater than 25.05 but less than 27.05 seconds?"

This is the pvalue of Z when X = 27.05 subtracted by the pvalue of Z when X = 25.05.

X = 27.05

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

Z = \frac{27.05 - 26}{0.44}

Z = 2.39

Z = 2.39 has a pvalue of 0.9916

X = 25.05

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

Z = \frac{25.05 - 26}{0.44}

Z = -2.16

Z = -2.16 has a pvalue of 0.0154

0.9916 - 0.0154 = 0.9762

97.62% of the sample means will be greater than 25.05 but less than 27.05 seconds

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