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2 years ago

The answer to this problem

Mathematics

1 answer:

Finger [1]2 years ago

4 0

Divide across and see if its proportional meaning that is the same... The answer is 2 so its proportional Hope this helped Im not good at Math but i do understand this i learned it a few days ago Im not a professional though lol I just know how to do this stuff and percents a percent over 100 and X over the number if you ever need help there just like Fractions message me i know how to do proportional relationships Ill try..

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A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70

TEA [102]

Answer:

She needs to sample 189 trees.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation of the population is 70 peaches per tree.

This means that $\sigma = 70$

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

$M = z\frac{\sigma}{\sqrt{n}}$

$10 = 1.96\frac{70}{\sqrt{n}}$

$10\sqrt{n} = 1.96*70$

Dividing both sides by 10:

$\sqrt{n} = 1.96*7$

$(\sqrt{n})^2 = (1.96*7)^2$

$n = 188.2$

Rounding up:

She needs to sample 189 trees.

3 0

2 years ago

Suppose we want to build a rectangular storage container with open top whose volume is $$12 cubic meters. Assume that the cost o

Snezhnost [94]

Answer:265.25

Step-by-step explanation:

Given

Volume of box $=12 m^3$

height is 3 times the width

let height, length and breadth be H, L & B

$H=3\times B$

$V=12=L\times B\times H$

4=B^2\times L[/tex]

$L=\frac{4}{B^2}$

Cost of side walls $ $8/m^2$

Cost of base $ $12/m^2$

Cost of side walls $=(2LH+2BH)\cdot 8$

Cost of base $=12LB$

Total cost $C=16LH+16BH+12LB$

$C=48LB+48B^2+12LB$

$C=\frac{192}{B}+48B^2+\frac{48}{B}$

differentiate C w.r.t B to get minimum cost

$\frac{\mathrm{d} C}{\mathrm{d} B}=-\frac{192}{B^2}+2\times 48 B-\frac{48}{B^2}$

$B^3=\frac{240}{2\times 48}$

$B=1.35 m$

$H=3\times 1.35=4.07 m$

L=2.19 m

C=$ 265.25

3 0

2 years ago

Find the smallest positive integer that is greater than $1$ and relatively prime to the product of the first 20 positive integer

ValentinkaMS [17]

Answer:

Step-by-step explanation:

since the number is relatively prime to the product of the first 20 positive numbers

It number must not have factor of (1-20)

Therefore the smallest possible number is the next prime after 20

Answer is 23

7 0

2 years ago

Rewrite the following linear equation in slope-intercept form. Write your

klio [65]

Answer: y = -2x -2

Step-by-step explanation:

Making y the subject of the formula

Subtract 4 from both sides

⇒ y = -2 ( x - 1 ) - 4

y = -2x + 2 -4

y = -2x -2

4 0

2 years ago

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If i left Raleigh at 9:30 am and drove and drove 6 1/2 hours what time would it be

VARVARA [1.3K]

Answer: 4:00 pm

Step-by-step explanation:

8 0

2 years ago

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