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Eduardwww [97]
3 years ago
13

A school has 2 computer labs. Each lab has 30 computers. A total of

Mathematics
2 answers:
loris [4]3 years ago
7 0

Answer:

The 4th option (the one you mouse is hovering on in the picture)

Step-by-step explanation:

You start with 30x2 because that shows the amount of computers in the school. Then you subtract 6 for the amount that doesn't work in the whole school.

UNO [17]3 years ago
6 0

Answer:

(2x30)-6

Step-by-step explanation:

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Suppose that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to
polet [3.4K]

Answer:

(a) The probability that X is at most 30 is 0.9726.

(b) The probability that X is less than 30 is 0.9554.

(c) The probability that X is between 15 and 25 (inclusive) is 0.7406.

Step-by-step explanation:

We are given that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked. A random sample of 200 shafts is taken.

Let X = <u><em>the number among these that are nonconforming and can be reworked</em></u>

The above situation can be represented through binomial distribution such that X ~ Binom(n = 200, p = 0.11).

Here the probability of success is 11% that this much % of all steel shafts produced by a certain process are nonconforming but can be reworked.

Now, here to calculate the probability we will use normal approximation because the sample size if very large(i.e. greater than 30).

So, the new mean of X, \mu = n \times p = 200 \times 0.11 = 22

and the new standard deviation of X, \sigma = \sqrt{n \times p \times (1-p)}

                                                                  = \sqrt{200 \times 0.11 \times (1-0.11)}

                                                                  = 4.42

So, X ~ Normal(\mu =22, \sigma^{2} = 4.42^{2})

(a) The probability that X is at most 30 is given by = P(X < 30.5)  {using continuity correction}

        P(X < 30.5) = P( \frac{X-\mu}{\sigma} < \frac{30.5-22}{4.42} ) = P(Z < 1.92) = <u>0.9726</u>

The above probability is calculated by looking at the value of x = 1.92 in the z table which has an area of 0.9726.

(b) The probability that X is less than 30 is given by = P(X \leq 29.5)    {using continuity correction}

        P(X \leq 29.5) = P( \frac{X-\mu}{\sigma} \leq \frac{29.5-22}{4.42} ) = P(Z \leq 1.70) = <u>0.9554</u>

The above probability is calculated by looking at the value of x = 1.70 in the z table which has an area of 0.9554.

(c) The probability that X is between 15 and 25 (inclusive) is given by = P(15 \leq X \leq 25) = P(X < 25.5) - P(X \leq 14.5)   {using continuity correction}

       P(X < 25.5) = P( \frac{X-\mu}{\sigma} < \frac{25.5-22}{4.42} ) = P(Z < 0.79) = 0.7852

       P(X \leq 14.5) = P( \frac{X-\mu}{\sigma} \leq \frac{14.5-22}{4.42} ) = P(Z \leq -1.70) = 1 - P(Z < 1.70)

                                                          = 1 - 0.9554 = 0.0446

The above probability is calculated by looking at the value of x = 0.79 and x = 1.70 in the z table which has an area of 0.7852 and 0.9554.

Therefore, P(15 \leq X \leq 25) = 0.7852 - 0.0446 = 0.7406.

5 0
3 years ago
There is a triangle the angles are 2x 3x and x how do you get the answer
Marta_Voda [28]
2x3-180 that's suppose to be right
I hope
7 0
3 years ago
One inch is what part of one yard?<br><br> F. 1/12<br> G. 1/100<br> H. 1/3<br> J. 1/36
viva [34]

I think the answer is either:

J.1/36 or G.1/100

Because 1 yard is 0.027778 inch. So it has to be a really small fraction.

3 0
3 years ago
Read 2 more answers
I need help what is the answer will mark brainliest please help
Anestetic [448]

Answer:

Step-by-step explanation:

√4 = 2, √36 = 6, √49 = 7

only √2 is irrational!

7 0
3 years ago
Phillip is restoring a square tabletop he wants to finish the outside edges with a piece of decorative molding what total length
PilotLPTM [1.2K]

Answer:

8 square feet

3 0
3 years ago
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