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Ilia_Sergeevich [38]
3 years ago
5

Simplify (7^2 -4^2) - [(24) /(-6)]

Mathematics
1 answer:
kotegsom [21]3 years ago
8 0
I believe the answer is 37
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Independent random samples from two regions in the same area gave the following chemical measurements (ppm). Assume the populati
Basile [38]

Answer:

d. The interval contains only negative numbers. We cannot say at the required confidence level that one region is more interesting than the other.

Step-by-step explanation:

Hello!

You have the data of the chemical measurements in two independent regions. The chemical concentration in both regions has a Gaussian distribution.

Be X₁: Chemical measurement in region 1 (ppm)

Sample 1

n= 12

981 726 686 496 657 627 815 504 950 605 570 520

μ₁= 678

σ₁= 164

Sample mean X[bar]₁= 678.08

X₂: Chemical measurement in region 2 (ppm)

Sample 2

n₂= 16

1024 830 526 502 539 373 888 685 868 1093 1132 792 1081 722 1092 844

μ₂= 812

σ₂= 239

Sample mean X[bar]₂= 811.94

Using the information of both samples you have to determina a 90% CI for μ₁ - μ₂.

Since both populations are normal and the population variances are known, you can use a pooled standard normal to estimate the difference between the two population means.

[(X[bar]₁-X[bar]₂)±Z_{1-\alpha /2}* \sqrt{\frac{Sigma^2_1}{n1}+\frac{Sigma^2_2}{n_2}  }]

Z_{1-\alpha /2}= Z_{0.95}= 1.648

[(678.08-811.94)±1.648*\sqrt{\frac{164^2}{12}+\frac{239^2}{16}  }]

[-259.49;-8.23]ppm

Both bonds of the interval are negative, this means that with a 90% confidence level the difference between the population means of the chemical measurements of region 1 and region 2 may be included in the calculated interval.

You cannot be sure without doing a hypothesis test but it may seem that the chemical measurements in region 1 are lower than the chemical measurements in region 2.

I hope it helps!

6 0
3 years ago
Whats is y=1/3x+2 This is for math
marusya05 [52]

Answer:

an equation of a line

Step-by-step explanation:

This is an equation of a line. Lets walk through it.

y=1/3x+2

This is to find out what the Y coordinate would be when X is plugged in. So, if x was 6, you would take 1/3 of 6 to get 2, and add 2. The y intercept would be 4, since y=1/3(6)+2, y=2+2, y=4

Y=1/3x+2

This is what the slope is. If the slope is negative (ie. -3/4) the greater the x intercept the lower the y will be. (so if I had x=4 for a slope of -3/4, that would be y=-3/4(4)+2, y=-3+2, y=-1) But if the slope is positive (ie. 1/3) the greater the x value the greater the y value as well. (see graph attached below for positive)

Y=1/3x+2

This is the Y intercept. (This is NOT the y coordinate. This is only the coordinate of y if x=0) This number tells you where the Y intercept is. If it adds, the y intercept is positive. If it subtracts, the y intercept is negative.

Sorry if these explainations dont make sense. But, here is the graph for y=1/3x+2

4 0
3 years ago
Simplify the expression.<br><br><br><br> A. <br><br> B. <br><br> C. <br><br> D.
ira [324]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
Which of the following values has 4 significant figures?
Vlad1618 [11]

Answer:

А. 13.07

Step-by-step explanation:

Significant figures are the number of digit from a number that have meanings. The higher the significant figures of a number, the higher its accuracy will be.  The only non-zero number will be count as significant figures unless the zero is between two non-zero numbers like 13.07, the zero placed between 3 and 7. Some number also doesn't count as significant figures like the leading zero.

All other option just shows 3 significant numbers, so the answer is 13.07

6 0
3 years ago
Translate the following sentence to an inequality. A number is no less than seven.
Gekata [30.6K]

Answer:

X <u>></u> 7

Step-by-step explanation:

X <u>></u> 7

6 0
2 years ago
Read 2 more answers
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