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Tcecarenko [31]

3 years ago

5

Asia is buying some CDs. The equation below shows the relationship between x, the number of CDs she buys, and y, the cost. 3. Ho

w many CDs can Asia purchase for $30?

1 answer:

Svetradugi [14.3K]3 years ago

4 0

She can buy ten CDs.

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You have $7.45. You buy 8 items that cost $0.83 each. How much money do you have left

Agata [3.3K]

Answer:

$0.81

Step-by-step explanation:

left

$7.45-8(0.83)=7.45-6.64=0.81$

I hope I have helped you

6 0

3 years ago

Rearrange x = 3g + 2 to make g the subject.

Kisachek [45]

Answer:

g = $\frac{x-2}{3}$

Step-by-step explanation:

x = 3g + 2 ( subtract 2 from both sides )

x - 2 = 3g ( divide both sides by 3 )

$\frac{x-2}{3}$ = g

5 0

2 years ago

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In the translation T of the graph below, use the figure to describe the following transformation. T T-1: (x, y) ( x, y) ( x + 3,

Serhud [2]

Answer:

(X - 3, Y - 1).

3 0

3 years ago

Isabella spent less than $14.00 for glass beads ,paintbrushes ,poster board,and paint she spends $1.68 on beads and $3.96 on pai

Eduardwww [97]

Your answer is 19.53$ if you do add.

7 0

3 years ago

There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha

uranmaximum [27]

Answer:

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

0.933 = 93.3% probability that the second machine produces an acceptable cork.

The second machine is more likely to produce an acceptable cork.

Step-by-step explanation:

When the distribution is normal, we use 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.

What is the probability that the first machine produces an acceptable cork?

The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm, which means that $\mu = 3, \sigma = 0.1$

Acceptable between 2.9 and 3.1, which means that this probability is the pvalue of Z when X = 3.1 subtracted by the pvalue of Z when X = 2.9.

X = 3.1

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

$Z = \frac{3.1 - 3}{0.1}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413

X = 2.9

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

$Z = \frac{2.9 - 3}{0.1}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)

For the second machine, we have that $\mu = 3.04, \sigma = 0.04$ . Same probability we have to find out. So

X = 3.1

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

$Z = \frac{3.1 - 3.04}{0.04}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.9332

X = 2.9

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

$Z = \frac{2.9 - 3.04}{0.04}$

$Z = -3.5$

$Z = -3.5$ has a pvalue of 0.0002

0.9332 - 0.0002 = 0.933

0.933 = 93.3% probability that the second machine produces an acceptable cork.

Which machine is more likely to produce an acceptable cork?

Second one has a higer probability, so it is more likely to produce an acceptable cork.

6 0

3 years ago