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Yakvenalex [24]

3 years ago

8

Apples lose 75% of their weight during drying. How many pounds of fresh apples do you need to pick in order to get 150 lb of dri

ed apples?

1 answer:

Anna35 [415]3 years ago

7 0

Since apples lose 75% of their weight, that means 150 lbs = 25% of fresh apples. 25% = 1/4, so the equation is 150/(1/4) = 150*4 = 600 lbs

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A survey is to be conducted to determine the average driving in miles by Minnesota State University, Mankato students. The inves

Nadusha1986 [10]

Answer:

$n=(\frac{1.75(8.2)}{1.5})^2 =91.52 \approx 92$

So the answer for this case would be n=92 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =1.5 and we are interested in order to find the value of n, if we solve n from equation (b) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 92% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.04;0;1)", and we got $z_{\alpha/2}=1.75$ , replacing into formula (b) we got:

$n=(\frac{1.75(8.2)}{1.5})^2 =91.52 \approx 92$

So the answer for this case would be n=92 rounded up to the nearest integer

5 0

3 years ago

In a certain area of Brazil, deforestation is currently the most critical Socio economic problem. The area of a certain rain for

zhuklara [117]

A is INCORRECT because here we have degrowth and growth

B is INCORRECT because the decay factor is 2% or 0.02 , not 0.2

C is CORRECT, the function is which is used to calculated the area of rainforest at time t is given by 1156.25(1 -0.02 )^t

D is INCORRECT, if we plug in t=100 in the above equation , we get = 1156*(1-0.02)^100 = 153 square miles of forest. So it will not be wiped out

E is CORRECT, if we plug in t =35, we get = 1156*(1-0.02)^35 = 570 square miles. So more than half will be cut in 35 years

F is INCORRECT becuase domain goes beyond 100 years as shown by option D

So, correct options are C and E

6 0

3 years ago

Read 2 more answers

Need help with this pls

miss Akunina [59]

Answer:

m ∠1 = 143°

Step-by-step explanation:

the linear line is equal to 180.

subtract 180 from 37 to find angle 1

to check your work add 143 to 37 to make sure it equals 180

7 0

2 years ago

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In ∆ABC, if sin A = 4/5 and tan A = 4/3 , then what is cos A?

Alexxandr [17]

Answer:

A = 3/5

Step-by-step explanation:

At the outset, the question doesn't give us a figure to refer to nor does it tell us if this is a right angled triangle. However we observe that both sin A and tan A have the numbers 3, 4 and 5. We recognize this to be consistent with 3-4-5 standard right angled triangle.

Hence we can guess that it is probably a right angled triangle, but we should do the following to confirm:

Knowning that for a right angled triangle,

sin A = opposite / hypotenuse = 4/5

tan A = opposite / adjacent = 4/3

From this we can surmise that

Opposite = 4

hypotenuse = 5

adjacent = 3

Assemble the triangle to see if this works (see attached). We can futher verify that 3-4-5 works using the Pythagorean theorem.

Now that we have determined that the triangle is a 3-4-5 right angled triangle,

cos A = adjacent / hypotenuse = 3/5

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3 years ago

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A, B, C, OR D. WILL MARK ANSWER BRAINLIEST.

fgiga [73]

Answer:

C

Step-by-step explanation:

all points on the line of the equation y = 1 will have the number 1 as the y-value in each ordered pair

y = 1 is a horizontal line which intersects the y-axis at (0, 1)

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3 years ago

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