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qwelly [4]
3 years ago
14

Steve ordered plastic cases for storing his basketball cards each case has a length of 12 CM and a width of 6.5 cm , and height

of 1.25 cm . What id the volume in cubic cm of one basketball card case
Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0
Volume of a rectangular prism(the baseball card case) can be defined as follows:  V = lwh

V = lwh
V = 12(6.5)(1.25)
V = 97.5 cm³
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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is
yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

H_{0}: \mu = 434

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

H_{a}: \mu < 434

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that \mu = 434

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that X = 431, n = 9, \sigma = \sqrt{144} = 12

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}

z = -0.75

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

7 0
2 years ago
Ali bought three pieces of fruit with the following weights, 8.712 grams, 14.125 grams, and 21.926 grams. What is the best estim
elixir [45]
44. 76 grams. you just have to add up the weights!
8 0
1 year ago
2)<br> d-e- and p = Evaluate<br> (2e - d)<br> 2f<br> A)<br> 24<br> B)<br> 1<br> D)
MariettaO [177]

Answer:

i dont no

Step-by-step explanation:

you may solve by u

5 0
2 years ago
Solve the system of equations using substitution.
OLEGan [10]
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7 0
2 years ago
A right pyramid with a square base has a base edge length of 12 meters and slant height of 6 meters. The apothem is meters. The
Kisachek [45]

Answer:

Apothem: 6m

hypotenuse : slant height : 6√2 m

height :6m

volume: 288m2

Step-by-step explanation:

Hi, the correct values are: (image  attached down below)

Base length= 12m

Slant height  is actually = 6√2

So, to calculate the apothem (AC)we apply the Pythagorean theorem:

AB^2 = AC^2 + BC^2

√AB^2 -BC^2 = AC

AC = √(6√2)^2 - 6^2

AC =6 meters

Hypotenuse of ABC = AB =6√2 meters

Height = AC = 6 meters

Volume:

Volume of a pyramid = 1/3 x base area x height

area of a square = side length ^2 = 12^2

V= 1/3 x 12^2 x 6 =288 m2

7 0
3 years ago
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