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Strike441 [17]
3 years ago
14

What is the value of y? Enter your answer in the box.

Mathematics
2 answers:
lesya [120]3 years ago
7 0
Y would equal 64

79+37=116

180-116=64
Ghella [55]3 years ago
4 0
Y=180-(79+37)
y=180-116=64°
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a worker at a mill is delivering 5lbs bags of flour to a local warehouse, each box holds 12 bags. If the warehouse orders 3 tons
ivolga24 [154]
I'm pretty sure that u multiply 12 and 5 and u get 60 and that's in only one box just 60lbs then u find how many pounds in a ton which is 2,000 then u have 3 tons so multiple 2,000 and 3 and u get 6,000 so then u divide 60 and 6,000 and u get 100 I'm pretty sure that's how u do it
8 0
3 years ago
Read 2 more answers
Please can someone help
Sergeu [11.5K]
Answer = £44,918

220x8.8 = 1936
2.3x2.1 = 4.83
1936 + 4.83 = 1940.83
1940.83/1.6 = 1213.01
1214x37 = 44918
6 0
2 years ago
A selective college would like to have an entering class of 950 students. Because not all students who are offered admission acc
pogonyaev

Answer:

a) The mean is 900 and the standard deviation is 15.

b) 100% probability that at least 800 students accept.

c) 0.05% probability that more than 950 will accept.

d) 94.84% probability that more than 950 will accept

Step-by-step explanation:

We use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

(a) What are the mean and the standard deviation of the number X of students who accept?

n = 1200, p = 0.75. So

E(X) = np = 1200*0.75 = 900

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.75*0.25} = 15

The mean is 900 and the standard deviation is 15.

(b) Use the Normal approximation to find the probability that at least 800 students accept.

Using continuity corrections, this is P(X \geq 800 - 0.5) = P(X \geq 799.5), which is 1 subtracted by the pvalue of Z when X = 799.5. So

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

Z = \frac{799.5 - 900}{15}

Z = -6.7

Z = -6.7 has a pvalue of 0.

1 - 0 = 1

100% probability that at least 800 students accept.

(c) The college does not want more than 950 students. What is the probability that more than 950 will accept?

Using continuity corrections, this is P(X \geq 950 - 0.5) = P(X \geq 949.5), which is 1 subtracted by the pvalue of Z when X = 949.5. So

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

Z = \frac{949.5 - 900}{15}

Z = 3.3

Z = 3.3 has a pvalue of 0.9995

1 - 0.9995 = 0.0005

0.05% probability that more than 950 will accept.

(d) If the college decides to increase the number of admission offers to 1300, what is the probability that more than 950 will accept?

Now n = 1300. So

E(X) = np = 1300*0.75 = 975

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.75*0.25} = 15.6

Same logic as c.

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

Z = \frac{949.5 - 975}{15.6}

Z = -1.63

Z = -1.63 has a pvalue of 0.0516

1 - 0.0516 = 0.9484

94.84% probability that more than 950 will accept

5 0
3 years ago
Please help<br><br> Combine like terms.<br> 9y + 5y - 3 = [? ]y + [ ]
almond37 [142]

Answer:

= 14y + ( – 3 )

I hope I helped you^_^

7 0
2 years ago
Simplify 30x-140-(x-4)
balu736 [363]

Answer:

x = 4.7

Step-by-step explanation:

30x - 140 -(x - 4)

Multiply the -1 into (x - 4)

30x - 140 - x + 4

Add/subtract

29x - 136 = 0

      +136

29x = 136

\frac{29x}{29} = \frac{136}{29}

x = 4.689655172413793

8 0
3 years ago
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