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Irina18 [472]
3 years ago
14

Rearrange to make subject x 4(x-3)/a=y

Mathematics
1 answer:
VikaD [51]3 years ago
7 0

Answer:

answer is x = ay + 12/4

Step-by-step explanation:

first we cross multiply on both sides which will give us this

4( x -3)=ay

we then open the brackets by multiplying 4 with x and -3 which gives

4x - 12= ay

then take 12 to the other side

4x - 12+12= ay + 12

4x = ay + 12

divide 4 on both sides

4x /4= ay + 12/ 4

therefore x = ay + 12/ 4

clear steps in picture

hope that can help

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C=8h+12
the 8h represents the $8 per hour for renting the boat, and h represents however many hours you rent the boat for.  The +12 is the initial $12 fee.  This is in slope intercept form, just using different variables than y=mx+b
5 0
3 years ago
If a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?
lions [1.4K]

Answer:

B. ab+ac=d

Step-by-step explanation:

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3 years ago
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Suppose a research firm conducted a survey to determine the mean amount steady smokers spend on cigarettes during a week. A samp
shutvik [7]

Answer:

0.9910 = 99.10% probability that a sample of 170 steady smokers spend between $19 and $21

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 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 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.

Mean of 20, standard deviation of 5:

This means that \mu = 20, \sigma = 5

Sample of 170:

This means that n = 170, s = \frac{5}{\sqrt{170}}

What is the probability that a sample of 170 steady smokers spend between $19 and $21?

This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.

X = 21

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

By the Central Limit Theorem

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

Z = \frac{21 - 20}{\frac{5}{\sqrt{170}}}

Z = 2.61

Z = 2.61 has a p-value of 0.9955

X = 19

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

Z = \frac{19 - 20}{\frac{5}{\sqrt{170}}}

Z = -2.61

Z = -2.61 has a p-value of 0.0045

0.9955 - 0.0045 = 0.9910

0.9910 = 99.10% probability that a sample of 170 steady smokers spend between $19 and $21

3 0
3 years ago
What is the slope of the equation y = 3/4x + 8?<br>A. 3/4<br>B. 8<br>C. 3<br>D. 4<br>​
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Answer:

Step-by-step explanation:    

y = m x + b

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y = 3 /4 x − 8

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6 0
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Answer:

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4 years ago
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