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2 years ago

5(x-4)=12 plzzz help

Mathematics

2 answers:

vivado [14]2 years ago

7 0

Answer:

x=6.4

Step-by-step explanation:

5(x-4)=12

5x-20=12

add 20 from both sides

5x=32

divide 5 on both sides

x=6.4

Nina [5.8K]2 years ago

6 0

The answer is x=6.4. Explanation: you distribute the 5 to the x and the 4 which makes it 5x-20=12. You add the 20 to both sides and it makes 5x=32. That would then equal to 6.4, 32/5, or 6 2/5. :)

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A paper recycling bin has the dimensions shown.use the expression s3 where s represents the length of a side to find the volume

ziro4ka [17]

I found a similar problem with its corresponding figure. It shows a recycling bin whose length is 1/2 meters, width is 1/2 meters, and height is 1/2 meters.

Based on the measure, the bin is a cube. Its volume formula is s³.

V = (1/2 m)³
V = 1/2 m * 1/2 m * 1/2 m
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V = 0.5 m * 0.5m * 0.5m = 0.125 m³
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2 years ago

The XO Group Inc. conducted a survey of 13,000 brides and grooms married in the United States and found that the average cost of

slavikrds [6]

Answer:

a) 0.0392

b) 0.4688

c) At least $39,070 to be among the 5% most expensive.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 29858, \sigma = 5600$

a. What is the probability that a wedding costs less than $20,000 (to 4 decimals)?

This is the pvalue of Z when X = 20000. So

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

$Z = \frac{20000 - 29858}{5600}$

$Z = -1.76$

$Z = -1.76$ has a pvalue of 0.0392.

So this probability is 0.0392.

b. What is the probability that a wedding costs between $20,000 and $30,000 (to 4 decimals)?

This is the pvalue of Z when X = 30000 subtracted by the pvalue of Z when X = 20000.

X = 30000

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

$Z = \frac{30000 - 29858}{5600}$

$Z = 0.02$

$Z = 0.02$ has a pvalue of 0.5080.

X = 20000

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

$Z = \frac{20000 - 29858}{5600}$

$Z = -1.76$

$Z = -1.76$ has a pvalue of 0.0392.

So this probability is 0.5080 - 0.0392 = 0.4688

c. For a wedding to be among the 5% most expensive, how much would it have to cost (to the nearest whole number)?

This is the value of X when Z has a pvalue of 0.95. So this is X when Z = 1.645.

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

$1.645 = \frac{X - 29858}{5600}$

$X - 29858 = 5600*1.645$

$X = 39070$

The wedding would have to cost at least $39,070 to be among the 5% most expensive.

5 0

2 years ago

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g100num [7]

To solve this we are going to use the formula fro the force applied to a spring: $F=ks$
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Since we know the $F=ma$ , we can replace that in our formula and solve for $a$ :
$ma=ks$
$a= \frac{ks}{m}$
where
$a$ is the acceleration
$k$ is the spring constant
$s$ is the extension
$m$ is the mass

We know for our problem that $k=200$ , $s=0.4$ , and $m=25$ . So lets replace those values in our formula to find $a$ :
$a= \frac{ks}{m}$
$a= \frac{(200)(0.4)}{25}$
$a=3.5 \frac{m}{s^2}$

We can conclude that the acceleration of the block when s=0.4m is $3.5 \frac{m}{s^2}$ .

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KATRIN_1 [288]

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</span>

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2 years ago

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Vlad [161]

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2 years ago

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