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3 years ago

For every 14 ice cream cones you buy, you get 2 for free.how many cones will you get if you buy 56 cones

1 answer:

6 0

Divide 56/14=4. That means that there are 4 14ns since you will get 2 for every 14 cones. Thay means that you will get 8 cones for free.

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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

3 years ago

If Cyrus knows that △ABC∼△EDC and AB¯¯¯¯¯¯¯¯∥ED¯¯¯¯¯¯¯¯, how can he prove that line m passing through AB¯¯¯¯¯¯¯¯ has the same sl

Illusion [34]

As AB and ED are parallel, they have the same slope. This means that since lines that are colllinear with parallel segments are parallel, lines l and m are parallel.

4 0

1 year ago

How to find the diameter of a circle with the area of 1134.1?

Alex17521 [72]

Radius is half of the diameter.
So because the area of a circle is A= pi • r^2, to find the radius first, we have to change the equation to solve for r. Now it is, r= square root of A/pi. We plug in 1134.1. (Look at pic)
The diameter is 38

6 0

3 years ago

Triangle Z W X is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right

sashaice [31]

Answer:

b = 9.1units

Step-by-step explanation:

Find the diagram attached

Using the similarity theorem of triangle

WX/XZ = WY/WX

Substitute;

b/a+5 = 6/b

b² = 6(a+5) ... 1

Also according to pythagoras theorem on triangle WYX;

b² = 6²+a²...2

Equate 1 and 2

6(a+5) = 6²+a²

6a+30 = 36 + a²

a²-6a+36-30 = 0

a²-6a+6 = 0

a = 6±√36+4(6)/2

a = 6±√60/2

a = 6±7.745/2

a = 13.745/2

a = 6.8725

Recall that

b² = 6²+a²

b² = 36+6.8725²

b² = 83.2313

b = 9.12units

b = 9.1units

3 0

2 years ago

Please help me thanks please

tatiyna

Answer: 2827 cm squared is the answer

4 0

3 years ago