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andreyandreev [35.5K]
3 years ago
13

A youth chorus has 30 members. There are 14 boys in the chorus.

Mathematics
1 answer:
zalisa [80]3 years ago
6 0
<span>D. 7/8 

Hope it helped :)</span>
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A water tank is box shaped with a square base of side length 5 ft. The tank is fed by a pipe above and drains from its base. In
adell [148]

Answer:

dy/dt = - (1/5) ft/s = - 0.2 ft/s

Step-by-step explanation:

Given

L = 5 ft

Qin = 25 ft³/s

Qout = 30 ft³/s

h = 10 ft

dy/dt = ?

We can apply the relation

ΔQ = Qint - Qout = 25 ft³/s - 30 ft³/s

⇒ ΔQ = - 5 ft³/s

Then we use the formula

Q = v*A

where Q = ΔQ, A = L²  is the area of square base and v = dy/dt  is the rate of change in the depth of the solution in the tank

⇒ ΔQ = (dy/dt)*L²

⇒ dy/dt = ΔQ/L²

⇒ dy/dt = (- 5 ft³/s)/(5 ft)²

⇒ dy/dt = - (1/5) ft/s = - 0.2 ft/s

6 0
3 years ago
a machine fills 150 bottles of water every 8 minutes how many minutes will it take to fill 675 bottles?
disa [49]

Answer:

36 minutes

Step-by-step explanation:

150b / 8m = 18.75b/m       we want to know how many bottle of water per minute

675b/18.75b/m = 36m

6 0
3 years ago
Nori had 2 2/12 bags of apples he used 1 5/12 bags of apples to make pies how many bags of apples does nori have left. 1. See an
diamong [38]

Answer:

Nori would have 9/12 of a bag left.

Step-by-step explanation:

she had 2 2/12 and she used 1 5/12 so you subtract them and get 9/12

6 0
3 years ago
Read 2 more answers
For the function, make a table with integer values of x from -2 to 2. Then graph the function.
Fittoniya [83]

Answer:

tu mam4 se corrio en mis piernas

Step-by-step explanation:

6 0
2 years ago
9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of
netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 12, \sigma = 3

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{16 - 12}{3}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

5 0
3 years ago
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