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Phantasy [73]
3 years ago
13

HELP ASAP

Mathematics
2 answers:
evablogger [386]3 years ago
7 0
2,072 millimeters
207.2 centimeters
umka21 [38]3 years ago
4 0

Answer:

49 mm

Step-by-step explanation:

A scale factor is the number you multiply a side length by to find the image.  This means we multiply MN, which is 28 mm, by the scale factor, 7/4:

28(7/4) = 196/4 = 49

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Two machines are used for filling plastic bottles to a net volume of 16.0 ounces. A member of the quality engineering staff susp
aleksandrvk [35]

Answer:

Step-by-step explanation:

Hello!

The objective is to test if the two machines are filling the bottles with a net volume of 16.0 ounces or if at least one of them is different.

The parameter of interest is μ₁ - μ₂, if both machines are filling the same net volume this difference will be zero, if not it will be different.

You have one sample of ten bottles filled by each machine and the net volume of the bottles are measured, determining two variables of interest:

Sample 1 - Machine 1

X₁: Net volume of a plastic bottle filled by the machine 1.

n₁= 10

X[bar]₁= 16.02

S₁= 0.03

Sample 2 - Machine 2

X₂: Net volume of a plastic bottle filled by the machine 2

n₂= 10

X[bar]₂= 16.01

S₂= 0.03

With p-values 0.4209 (for X₁) and 0.6174 (for X₂) for the normality test and using α: 0.05, we can say that both variables of interest have a normal distribution:

X₁~N(μ₁;δ₁²)

X₂~N(μ₂;δ₂²)

Both population variances are unknown you have to conduct a homogeneity of variances test to see if they are equal (if they are you can conduct a pooled t-test) or different (if the variances are different you have to use the Welche's t-test)

H₀: δ₁²/δ₂²=1

H₁: δ₁²/δ₂²≠1

α: 0.05

F= \frac{S^2_1}{S^2_2} * \frac{Sigma^2_1}{Sigma^2_2} ~~F_{n_1-1;n_2-1}

Using a statistic software I've calculated the test

F_{H_0}= 1.41

p-value 0.6168

The p-value is greater than the significance level, so the decision is to not reject the null hypothesis then you can conclude that both population variances for the net volume filled in the plastic bottles by machines 1 and 2 are equal.

To study the difference between the population means you can use

t= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2}{Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }  ~~t_{n_1+n_2-2}

The hypotheses of interest are:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

α: 0.05

Sa= \sqrt{\frac{(n_1-1)S^2_1+(N_2-1)S^2_2}{n_1+n_2-2}} = \sqrt{\frac{9*9.2*10^{-4}+9*6.5*10^{-4}}{10+10-2} } = 0.028= 0.03

t_{H_0}= \frac{(16.02-16.01)-0}{0.03*\sqrt{\frac{1}{10} +\frac{1}{10} } } = 0.149= 0.15

The p-value for this test is: 0.882433

The p-value is greater than the significance level, the decision is to not reject the null hypothesis.

Using a significance level of 5%, there is no significant evidence to reject the null hypothesis. You can conclude that the population average of the net volume of the plastic bottles filled by machine one and by machine 2 are equal.

I hope this helps!

8 0
3 years ago
Which is the least common denominator of 5/6 3/8
Tems11 [23]

To find the least common denominator, or lcd, you have to find the least common multiple, or lcm. To do that you find the multiples of each number until they equal each other. I set up a chart like this,

6 -

8 -

and then I start listing multiples so,

6 - 6, 12, 18, 24,

8 - 8, 16, 24,

I stop after I find a number they are both equal to. So to get to that number I would multiply 8 by 3, and 6 by 4. This gives me 24 as the lcd. If you need the lcd to add the fractions together, then whatever you did to the bottom do to the top. So 5/6 would become 20/24 and 3/8 would become 9/24.


Answer: 24

4 0
3 years ago
Work out (1.2 x 104 ) 2.5 x 103<br>Give<br>your answer in standard form.​
ExtremeBDS [4]

Answer:

32136

Step-by-step explanation:

it is basically (1.2*104 )*2.5*103

4 0
3 years ago
Read 2 more answers
6% tax on $155 item ​
soldier1979 [14.2K]

Answer:

$9.30

Step-by-step explanation:

155 multiplied by (0.06) which is equal to 9.3

Therefore, the tax is $9.30 or a total of $164.3

3 0
3 years ago
Read 2 more answers
Mr. Powell rents a storage space that is 7 feet high, 5 feet long, and 4 feet wide.
FrozenT [24]

Answer:

To find how many 1 by 1 containers can fit in his storage space we must find the volume of the storage space in cubic feet. The formula for the volume of a rectangular prism aka the room is length x width x height. With this formula, all we need to do is plug in all the values given to the variables.

volume = length x width x height = 5 x 4 x 7 = 20 x 7 = 140

Final Answer: 140 one foot by one foot containers  can fit in Mr. Powell's storage space

8 0
3 years ago
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