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2 years ago

5(4x - 1.5x) + 12 = 4x - 2

Mathematics

2 answers:

MAXImum [283]2 years ago

7 0

Answer:

-1.647058824

Step-by-step explanation:

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Shalnov [3]2 years ago

5 0

Answer:

x=0.6072

Step-by-step explanation:

open bracket

20x-7.5x-4x+12=4x-2

20x-7.5x-4x=-12-2

8.5x=-14

x=0.6072

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Sarah saving account balance change by $35 one week and by negative $67 to next week. Which amount represents the greatest chang

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2 years ago

Solve the system by substitution.<br> -8x - y = 30<br> -2y = x

masya89 [10]

Answer:

Solution: (-4, 2), x= -4 and y =2

Step-by-step explanation:

-8x - y = 30

-2y = x

Substitute for x

-8*(-2y) - y = 30

16y - y = 30

15y = 30

y = 30/15 = 2

Then x = -2y = -2*(2) = -4

Solution: (-4, 2), x= -4 and y =2

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2 years ago

The amount, A, in milligrams, of radioactive material remaining in a container can be modeled by the exponential function A(t) =

lisov135 [29]

Answer: 4 years

Step-by-step explanation:

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Then A(t) = 5×(0.5)^(0.25t) = 5×2^(-t/4),

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We need to such that A(t) = 2.5mg, or 2^(-t/4) is 1/2, which happens when -t/4 is -1, or t is 4.

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3 years ago

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2 years ago

Read 2 more answers

A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean

EastWind [94]

Using the normal distribution, it is found that 7.64% of of sample means are greater than 8.8 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

The parameters are given as follows:

$\mu = 8.4, \sigma = 1.77, n = 40, s = \frac{1.77}{\sqrt{40}} = 0.2799$

The proportion of sample means greater than 8.8 hours is <u>one subtracted by the p-value of Z when X = 8.8</u>, hence:

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

By the Central Limit Theorem

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

$Z = \frac{8.8 - 8.4}{0.2799}$

Z = 1.43

Z = 1.43 has a p-value of 0.9236.

1 - 0.9236 = 0.0764.

7.64% of of sample means are greater than 8.8 hours.

More can be learned about the normal distribution at brainly.com/question/25800303

#SPJ1

6 0

1 year ago