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labwork [276]
3 years ago
10

I need help, ive been trying

Mathematics
1 answer:
Mrac [35]3 years ago
7 0

The figure is a right triangle so we can use the Pythagorean theorem to find the third side AKA the hypotenuse.

Pythagorean theorem = a² + b² = c² where A and B are the legs of the triangle and C is the hypotenuse.

39² + 80² = c²

169 + 6400 = c²

6569 = c²

Square root both sides to cancel out the squared variable.

√6569 = √(c²)

√6569 = c

The third side, the hypotenuse, is √6569 units long.

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Math question down below
SpyIntel [72]
3 3/8 · 4 1/3

To make this easier to solve, let's change the mixed numbers into improper fractions. This is done by multiplying the denominator (8) by the whole number (3) and then adding that to the numerator (3), keeping the denominator the same. Do the same thing with the second fraction.

27/8 × 13/3
Now you can multiply.
(27 × 13)/(8 × 3)
351/24

Now think of how many times 24 can go into 351. You can find this out by plugging it into a calculator. You should get 14.625. Since we need a whole number though, round down to 14.
14 × 24 = 336
This means that there will be 15 left over.
So far the fraction looks like this:
14 15/24

The last thing you need to do is simplify. A number that can go into both 15 and 24 is 3, so divide them by that.
14 5/8

The answer is 
D. 14 5/8
3 0
3 years ago
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Sue made chicken soup by combining the entire can of soup shown
ANTONII [103]
Full cann = x actually go the link that person sent
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3 years ago
Find the volume of a box that is 2in x 4in x 3in
aalyn [17]

Answer:

fhshegshffdfsfjdegddfhgfedhdrgdddetfrdesjdhgdhdjdjdhdhdjdjejdhdhdjdjhhgwhejdjdhdsewwhehsjrhdgddjdjfhwhdddfjfhshdjjhdhdjdjffjdjshwghhjrjehwhhejjfjfjejehekwkjjhfkwkejhsekskwjdjfjjt

Step-by-step explanation:

fhjjhcnncxfgnnng

8 0
3 years ago
you baked 42 chocolate cupcakes and 28 red velvet cupcakes.you package them in boxes that have the same ratio of chocolate to re
Ratling [72]
28/42 is 66.66…%
0.66…(24) = 16.

Answer:  sixteen red velvets
4 0
3 years ago
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The negative effects of ambient air pollution on children's lung function has been well established, but less research is availa
Helen [10]

Answer:

Step-by-step explanation:

Hello!

The objective is to estimate the population mean of the lung-capacity index (FEV1) the forced volume (in ml) of air that is exhaled in 1 second of children that came from households where coal is used for coal or heating or both. The researcher claims that the use of coal has a negative impact (reduces) on the mean FEV1.

a.

A sample of 512 children that came from households where coal is uses was taken, they obtained a sample mean of X[bar]= 1429ml and a standard deviation of S= 327ml

The study variable is X: the forced volume (in ml) of air that is exhaled in 1 second of a child that lives in a household where coal is used.

There is no information about the distribution of the variable, but the sample size is large enough to be valid to apply the Central Limit Theorem and approximate the distribution of the sample mean to normal:

X[bar]≈N(μ;δ²/n)

Using this approximation you can estimate the population mean using an approximate Z and 1 - α: 0.95:

X[bar] ± Z_{1-\alpha /2} * (S/√n)

Z_{1-\alpha /2}= Z_{0.975}= 1.965

[1426 ± 1.965 * (327/√512)]

[1397.60; 1454.40]ml

Using a confidence level of 95% you'd expect that the interval [1397.60; 1454.40] contains the true average of the lung-capacity index of Chinese children that live in households where coal is used for cooking, hearing or both.

b.

Now using a value of S= 330 and a CI of 95% you need to calculate the sample size required to get an interval amplitude of 50ml

To calculate the sample size given a determined confidence level and amplitude the best is to use the semiamplitude or margin of error (d) of the interval.

The semiamplitude is half of the amplitude. The general structure of a confidence level for the mean is "point estimate" ± "margin fo error"

Then the formula for the margin of error is:

d=  Z_{1-\alpha /2} * (S/√n)

If a= 50ml then d= 50/2=25ml

Z_{1-\alpha /2}= Z_{0.975}= 1.965

(d* Z_{1-\alpha /2})= (S/√n)

√n*(d* Z_{1-\alpha /2})= S

n= [S/(d* Z_{1-\alpha /2})]²

n= [330/(25*1.965)]²

n= 37.29 ≅ 38

You need to take a sample of 38 childre.

I hope it helps!

3 0
3 years ago
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