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mixer [17]
3 years ago
6

A clothing company makes shirts in several sizes. The smallest shirt size weighs

Mathematics
1 answer:
astraxan [27]3 years ago
6 0

Answer:

25.375 ounces

Step-by-step explanation:

To find the weight of the largest shirt size, we need to find the value that is 1 3/4 times as much as the smallest shirt size. To do this, we need to multiply the two numbers (14.5 x 1 3/4). In order to make this process easier, we can convert 1 3/4 into a decimal, which would be 1.75. After that, we just multiply; 14.5 x 1.75 = 25.375. Your answer is 25.375 ounces.

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The volume of a prism changes from 20 to 540 after a dilation. what was the scale factor of the dilation?
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Scale factor is used by architects or engineers to transfer their prototype idea to large-scale use. If the volume of a prism is 20, you need to multiply its dimensions with a scale factor to find the new volume which is 540. For example, if the volume is doubled, this means you used a scale factor of 2. Hence, you just have to divide the new volume by the smaller volume.

Scale factor = 540/20
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The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
natita [175]

Answer:

68% of jazz CDs play between 45 and 59 minutes.

Step-by-step explanation:

<u>The correct question is:</u> The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).

According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?

Let X = <u>playing time of jazz CDs</u>

SO, X ~ Normal(\mu=52, \sigma^{2} =7)

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

Now, according to the 68-95-99.7 rule, it is stated that;

  • 68% of the data values lie within one standard deviation points from the mean.
  • 95% of the data values lie within two standard deviation points from the mean.
  • 99.7% of the data values lie within three standard deviation points from the mean.

Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;

   For 45 minutes, z-score is =  \frac{45-52}{7}  = -1

   For 59 minutes, z-score is =  \frac{59-52}{7}  = 1

This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.

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3 years ago
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