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solmaris [256]
3 years ago
12

Please Help me! ASAP

Mathematics
1 answer:
kow [346]3 years ago
5 0
Your answer would be 44
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A hardware store receives a shipment of bolts that are supposed to be 12 cm long. The mean is indeed 12 cm, and the standard dev
Yuliya22 [10]

Answer: 0.9104

Step-by-step explanation:

Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.

Mean : \mu=12\text { cm}

Standard deviation : \sigma= 0.2\text{ cm}

Sample size : n=10

Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.

So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.

We assume that the length of the bolts are normally distributed.

Let X be the random variable that represents the length of randomly picked bolt .

For Z score : z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x = 11.97

z=\dfrac{11.97-12}{\dfrac{0.2}{\sqrt{100}}}=-1.5

For x = 12.04

z=\dfrac{12.04-12}{\dfrac{0.2}{\sqrt{100}}}=2

By using the standard normal distribution table ,  the probability that the shipment is found satisfactory will be :-

P(511.97

Hence,  the probability that the shipment is found satisfactory=0.9104

3 0
3 years ago
The quotient of a number and negative eight is five-eighths. Find the number.
max2010maxim [7]

Answer:

-64/5

Step-by-step explanation:

Basically, the word "quotient" means the answer to a division problem. Therefore, its a division problem, so you have to work backwards with multiplication. -8 times a number is 5/8, so the other number is going to be negative.

The number is -64/5

5 0
2 years ago
Read 2 more answers
A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates th
sergij07 [2.7K]

Answer:

(a) The mean or expected value of <em>X </em>is 2.2.

(b) The standard deviation of <em>X</em> is 1.3.

Step-by-step explanation:

Let <em>X</em> = number of times the traffic light is red when a commuter passes through the traffic lights.

The probability distribution of <em>X</em> id provided.

The formula to compute the mean or expected value of <em>X </em>is:

\mu=E(X)=\sum x.P(X=x)

The formula to compute the standard deviation of <em>X </em>is:

\sigma=\sqrt{E(X^{2})-(E(X))^{2}}

The formula of E (X²) is:

E(X^{2})=\sum x^{2}.P(X=x)

(a)

Compute the expected value of <em>X</em> as follows:

E(X)=\sum x.P(X=x)\\=(0\times0.06)+(1\times0.25)+(2\times0.35)+(3\times0.15)+(4\times0.13)+(5\times0.06)\\=2.22\\\approx2.2

Thus, the mean or expected value of <em>X </em>is 2.2.

(b)

Compute the value of E (X²) as follows:

E(X^{2})=\sum x^{2}.P(X=x)\\=(0^{2}\times0.06)+(1^{2}\times0.25)+(2^{2}\times0.35)+(3^{2}\times0.15)+(4^{2}\times0.13)+(5^{2}\times0.06)\\=6.58

Compute the standard deviation of <em>X</em> as follows:

\sigma=\sqrt{E(X^{2})-(E(X))^{2}}\\=\sqrt{6.58-(2.22)^{2}}\\=\sqrt{1.6516}\\=1.285\\\approx1.3

Thus, the standard deviation of <em>X</em> is 1.3.

4 0
3 years ago
Read 2 more answers
a quadratic equation has a discriminant of 12. which could be the equation? a.0 = –x2 8x 2 b.0 = 2x2 6x 3 c.0 = –x2 4x 1 d.0 = 4
Norma-Jean [14]

Answer:

Option b which is 2x^2+6x+3=0

Step-by-step explanation:

We have been given the discriminant 12

We have to choose the equation which will satisfy the given discriminant.

We will consider all the given equation one by one

First we will take option a which is -x^2+8x+2=0

Discriminant from the equation we will find by the formula

D=b^2-4ac

Here, a=-1,b=8 and c=2 on substituting the values we will get

D=8^2-4(-1)(2)=72

Hence, option a is incorrect.

Now, we will consider option b which is 2x^2+6x+3=0

Here, a=2,b=6 and c=3 on substituting the values we get

D=(6)^2-4(2)(3)=12

Hence, option b is correct

Therefore, option b is the required answer.

8 0
2 years ago
Read 2 more answers
The original price of a pair of jeans is $32 the sales price 15% off the original price what is the amount off the original pric
ivolga24 [154]

$32+15%=32.15

Hope this helps ^_^

3 0
3 years ago
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