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Brut [27]
3 years ago
11

Find the corresponding time in the different countries in relation to the Philippine time. Choose the correct answer from the gi

ve choices.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0
There hope that helps pretty confident in those answers it helps to convert the 1:00pm to 13:00

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A study was conducted to estimate the difference in the mean salaries of elementary school teachers from two neighboring states.
umka21 [38]

Answer:

(28900-30300) -2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = -3301.70

(28900-30300) +2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = 501.698

The confidence interval would be -3301.70 \leq \mu \leq 501.698 and since the confidence interval contains the value of 0 we don't have enough evidence to conclude that the difference between the two states for the salary of teachers are significantly different.

Step-by-step explanation:

We have the following info given by the problem

\bar X_1 = 28900 the sample mean for the salaries of teachers in Indiana

s_1 = 2300 the sample deviation for the salary of  teachers in Indiana

n_1 =10 the sample size from Indiana

\bar X_2 = 30300 the sample mean for the salaries of teachers in Michigan

s_2 = 2100 the sample deviation for the salary of  teachers in Michigan

n_2 =14 the sample size from Michigan

We want to find a confidence interval for the difference in the two means and the formula for this case is given by;

(\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}

The degrees of freedom for this case are:

df = n_1 +n_2 -2= 10+14-2 =22

The confidence is 95%so then the significance is \alpha=0.05 and the \alpha/2 =0.025, we need to find a critical value in the t distribution with 22 degrees of freedom who accumulates 0.025 of the area on each tail and we got:

t_{\alpha/2}= 2.07

And now replacing in the formula for the confidence interval we got:

(28900-30300) -2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = -3301.70

(28900-30300) +2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = 501.698

The confidence interval would be -3301.70 \leq \mu \leq 501.698 and since the confidence interval contains the value of 0 we don't have enough evidence to conclude that the difference between the two states for the salary of teachers are significantly different.

6 0
3 years ago
Which pair represents equivalent ratios? A Begin fraction . . . 2 over 3 . . . end fraction . . . and . . . begin fraction . . .
Blizzard [7]

Equivalent ratios are those ratios which are same that is on simplifying each of them, we will get the same answer.

A.\frac{2}{3} and \frac{9}{15} = \frac{3}{5}

So they are not equivalent

B.\frac{5}{8} and \frac{15}{21} = \frac{5}{7}

So they are not equivalent

C.\frac{3}{12} and \frac{6}{18} = \frac{1}{4} and \frac{1}{3}

They are not equivalent too.

D.\frac{4}{10} and \frac{12}{30} = \frac{2}{5} and \frac{2}{5}

And they are equivalent. SO the correct option is D .

5 0
4 years ago
Read 2 more answers
A factory produces 37,650 T shirts in a 30-day month.
yan [13]
1,255 a day at average
5 0
3 years ago
Read 2 more answers
Bryce ran a race that was 2.5 miles long. How long was the race, in feet? Round your answer to the nearest hundred. A. 2,100 ft
Anna [14]
13200  it is d bud hope this helps u 
3 0
3 years ago
Read 2 more answers
there are 24 marbles in a bag: 2/16 of the marbles are red, 1/8 of the marbles are blue, 1/4 of the marbles are yellow, 1/3 of t
Roman55 [17]

Answer: 3 red marbles, 3 blue marbles, 6 yellow marbles, 8 black marbles, 4 silver marbles

Step-by-step explanation:

I know these are the correct number of marbles because I set up these numbers as fractions and solved for x.

For examples, 2/16 of the marbles are red. 2/16=x/24

You would do this because we are trying to find the number of marbles that are red out of the 24 marbles.

Next, we would do 24 divided by 16= 1.5 Then 1.5 times 2=3

You would follow this rule for each fraction of marbles in order to find the true number of marbles out of 24.

4 0
3 years ago
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