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ICE Princess25 [194]
3 years ago
12

A student wants to report on the number of movies her friends watch each week. The collected data are below: 0 , 0 , 1 , 1 , 2 ,

2 , 2 , 14 Which measure of center is most appropriate for this situation and what is its value? Group of answer choices Median, 1.5 Median; 3 Mean, 1.5 Mean; 3
Mathematics
1 answer:
Nataly [62]3 years ago
4 0

Answer: median = 1.5

Step-by-step explanation:

The mean is the most common measure of center which is synonymous to average. However, the mean is affected by extreme values so it may not be the best measure of center to use in a skewed distribution.

The median is the value in the center of the data. Half of the values are less than the median and half of the values are more than the median. It is probably the best measure of center to use in a skewed distribution.

The median of

0 , 0 , 1 , 1 , 2 , 2 , 2 , 14

Median = (1+2)/2 = 1.5

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Consider a manufacturing process called as turning (a type of machining process) that is used to manufacture cylindrical metal s
Sav [38]

Answer: 86.64%

Step-by-step explanation:

Let x be a random variable that represents the diameter of metal samples.

Given : Population mean : \mu=10

Standard deviation: s=0.50

Specified tolerance on the diameter is 0.75 mm.

i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75

Formula to find the z-score corresponds to x: z=\dfrac{x-\mu}{s}

At x= 0.75,  z=\dfrac{9.25-10}{0.50}=-1.5

z=\dfrac{9.25-10}{0.50}=1.5

Using standard normal table for z-value,

P-value : p(-1.5

∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%

6 0
3 years ago
The cargo carrying part of Billy‘s truck has a length of 8.3 m a width of 3 m and a height of 4.2 m. What is the maximum volume
madam [21]
You're really just finding the volume of the cargo-carry part.

V= L x W x H

V= 8.3m x 3m x 4.2m

V= 104.58 m3 or 105 m3 (rounded)

ANSWER: The maximum volume of sand Billy's truck can carry is about 105 m3.
8 0
3 years ago
2 of 2<br> X= 1<br> True<br> False
stepan [7]

Answer:

of means to multiple so it would equal 4 so the answer is false

4 0
2 years ago
Trent writes p^2 + 30 = (p + 30)(p + 0)<br><br> Do you agree with Trent? Explain why
Bingel [31]

Answer:

Statement expressed by Trent is RIGHT.

(p^2 + 30) = (p+30)(p +0)

Step-by-step explanation:

Here, the given expression is:

( to show)   :  (p^2 + 30) = (p+30)(p +0)

Now, as we know by DISTRIBUTIVE PROPERTY:

A (B + C)  = AB  + AC

Consider the RHS of the expression:

(p +30)(p+0)  =  (p +30)(p)   ............  ( a + 0 = a for all a)

Simplifying (p +30)(p) by distributive property, we get:

(p +30)(p)   = p(p) + 30(p) \\= p^2 + 30p\\\implies (p+30)(p+0)  =  p^2 + 30p

⇒ Left side  = Right side

Hence,  statement expressed by Trent is RIGHT.

8 0
3 years ago
A ball is dropped from 256 feet above the ground. It bounces 1/4 as high as it fell.This is true for each successive bounce. Wha
shtirl [24]
On the third bounce, it will bounce (1/4)*(1/4)*(1/4) = (1/4)^3 times as high.

This means it will bounce up to 256*1/64 = 4 feet high.
6 0
3 years ago
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