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3 years ago

Which of the following is a good way to quickly determine whether 3/12 and 1/4 are equal

Mathematics

2 answers:

Bas_tet [7]3 years ago

5 0

For this case we must indicate a form to determine if the following expressions are equal:

$\frac {3} {12}\ and\ \frac {1} {4}$

It is observed that if we multiply the numerator and denominator of the second fraction by "3" we obtain the first fraction:

$\frac {1 * 3} {4 * 3} = \frac {3} {12}$

Similarly, if we divide the numerator and denominator of the first fraction between "3" we obtain the second fraction.

$\frac {\frac {3} {3}} {\frac {12} {3}} = \frac {1} {4}$

ANswer:

Divide the numerator and denominator of the first fraction between "3" or

Multiply the numerator and denominator of the second fraction by "3"

Novay_Z [31]3 years ago

4 0

Answer: Divide 3 into the numerator and denominator

Step-by-step explanation:

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Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail inste

Vladimir [108]

Answer:

The value of t test statistics is 5.9028.

We conclude that the true mean is greater than 10 at the .01 level of significance.

Step-by-step explanation:

We are given that a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead.

The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages.

Let $\mu$ = true mean transmission of pages.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 10 pages {means that the true mean is smaller than or equal to 10}

Alternate Hypothesis, $H_A$ : $\mu$ > 10 pages {means that the true mean is greater than 10}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean = 14.44 pages

s = sample standard deviation = 4.45 pages

n = sample of fax transmissions = 35

So, test statistics = $\frac{14.44-10}{\frac{4.45}{\sqrt{35} } }$ ~ $t_3_4$

= 5.9028

(a) The value of t test statistics is 5.9028.

Now, at 0.01 significance level the z table gives critical values of 2.441 at 34 degree of freedom for right-tailed test.

Since our test statistics is more than the critical values of z as 5.9028 > 2.441, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the true mean is greater than 10.

(b) Now, P-value of the test statistics is given by the following formula;

P-value = P( $t_3_4$ > 5.9028) = Less than 0.05% {using t table)

7 0

3 years ago

Two boxes of apples contain a total of 24 apples. If you halve the number of apples in the first box and add 4 apples to the sec

maks197457 [2]

Step-by-step explanation:

let the no.s of apples in the one box be=x

then no.s of apples in the 2nd box =24-x

according to the question,

24-x+4=20

-x= 20-28

-x=-8

x= 8

no.s of apples in one box= 8

and no.s of apples in another box=24-8= 16

option C

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3 years ago

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7(2x-5)-11=3(5x-2)-2x

ICE Princess25 [194]

Answer:

x=40

Step-by-step explanation:

7(2x-5)-11=3(5x-2)-2x Distribute

14x-35-11=15x-6-2x Simplify

14x-46=13x-6 subtract 13x and add 46

x=40

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3 years ago

The scale factor of ∆RST to ∆DEC is 3 : 13. What is the scale factor of ∆DEC to ∆RST? Select one: a. 39 : 1 b. 1 : 39 c. 13 : 3

Katena32 [7]

Answer:

ΔDEC/ΔRST is 13/3 it is c

Step-by-step explanation:

ΔRST/ΔDEC = 3/13 so the inverse is 13/3

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3 years ago

Factor out the coefficient of the variable 1/2d+6

IrinaK [193]

Factoring out the 1/2 (that is the coefficient of the variable) would require you to divide the equation by one half, which is the same as multiplying by two. After doing this, the answer can be expressed as:

1/2 (d+12)

5 0

3 years ago

Read 2 more answers

Which of the following is a good way to quickly determine whether 3/12 and 1/4 are equal​

Which of the following is a good way to quickly determine whether 3/12 and 1/4 are equal