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4 years ago

Express 0.125 as a fraction in its lowest form.

Mathematics

2 answers:

notka56 [123]4 years ago

8 0

0.125 = 125⁄1000 then simplify 125⁄1000 = 1⁄8

guapka [62]4 years ago

5 0

1/8 is your answer
-Hope this helps

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Bridget has 32 pencils and 48 pens she wants to make identical bags of pencils and pens to give to her friend what is the highes

Vikki [24]

You’re just looking for the greatest common factor here which would be 16 as 32/16=2 (a whole number) and 48/16=3 (a whole number)

Hope this helps :))

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4 years ago

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Solve for p: 3p-2=2p/5+p-2/3

valentinak56 [21]

Answer:

p=5/6

Step-by-step explanation:

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3 years ago

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I need to find the missing exterior angle

antiseptic1488 [7]

Answer:

the mystery angle is 137

Step-by-step explanation:

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3 years ago

An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than

Gemiola [76]

Complete Question

The complete question is shown on the first , second and third uploaded image

Answer:

The correct option is A

The correct option is H

Step-by-step explanation:

The null hypothesis is $H_o : \mu_1 - \mu_2 = 6$

The alternative hypothesis is $H_a : \mu_1 - \mu_2 \ne 6$

The population mean difference is $\mu_d = 6$

Generally the sample size is n = 15

Generally the sample mean for input temperature is mathematically represented as

$\= x _1 = \frac{\sum x_i }{n}$

=> $\= x _1 = \frac{57.6 + 68.9 + \cdots +60.4 }{15}$

=> $\= x _1 = 62.57$

Generally the sample mean for output temperature is mathematically represented as

$\= x _2 = \frac{\sum x_i }{n}$

=> $\= x _2 = \frac{65.1+ 74.4 + \cdots +67.3 }{15}$

=> $\= x _2 = 55.97$

Generally the sample mean difference is mathematically represented as

$\= d = 62.57 - 55.97$

=> $d = 6.6$

Generally the standard deviation is mathematically represented as

$s_d = \sqrt{\frac{ \sum [d_1 - \= d]^2}{n-1} }$

=> $s_d = \sqrt{\frac{ [ [57.6 -65.1]- 6.6]^2 +[68.9 -74.4]- 6.6]^2+\cdots + [60.4 -67.3]- 6.6]^2}{15-1} }$

=> $s_d = 1.732$

Generally the test statistics is mathematically represented as

$t = \frac{6.6 - 6 }{\frac{1.732}{\sqrt{15} } }$

=> $t = 1.342$

Generally the degree of freedom is mathematically represented as

$df = n - 1$

$df = 15 - 2$

=> $df = 14$

Generally the p-value is mathematically represented as

$p-value = 2 * P(t > 1.342 )$

Generally from the t -distribution table the probability of 1.342 at a degree of freedom of $df = 28$ is

$P(t > 1.342 ) = 0.10047$

$p-value = 2 * 0.10047$

=> $p-value = 0.201$

Generally from the value obtained we see that $p-value > \alpha$ Hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

The cooling system changes the temperature of the water by 6 degrees

7 0

3 years ago

How to solve using the equation???? HELP PLSS

Alex777 [14]

For the first question, we can extend all of the lines on the trapezoid, and triple the distance from B on the line, so we can use the fact that B is (2, 2), A is (0, 0), C is (4, 2), and D is (6, 0) to get that the new coordinates are A (-4, -4), B (2, 2), C (8, 2), and D (14, -4).

For the second question, notice that we are changing the size on the same line, and every side length is tripled by 3. If every side length is tripled by 3, then the perimeter of the new image is triple the perimeter of the original.

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3 years ago