The number of nails of a given length is normally distributed with a mean length of 5 in. and a standard deviation of 0.03 in. In a bag containing 120 nails, how many nails are more than 5.03 in. long?a.about 38 nails
b.about 41 nails
c.about 16 nails
d.about 19 nails

Answers

Answer 1

Answer: The length 5.03 inches belonged to the first range of span of standard deviation. The probability of having length below 5.03 is equal to 68%. The proprobability of having length above 5.03 therefore is (100-68)/2 or equal to 16%. 16% of 120 nails given is 19.2 or D. about 19 nails.

Answer 2

Answer:

Answer:

(D) About 19 nails

Step-by-step explanation:

It is given that mean length= 5 inches and the standard deviation =0.03.

In order to standardize x to z, we use the formula= $\frac{(x-{\mu})}{{\sigma}}$ .

Now, probability of nails having length more than 5.03= $P(x>5.03)=P(z>((5.03-5))/(0.03))$

= $P(z>1)$

= $0.1587$ b(Using the normal probability table)

In a bag of 20 nails, nails having length more than 5.03 inches= $20{*}0.1587$ = $19.004$

= about $19$ nails.

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Find the area of the circle in terms of pi. 20mAnswers
20 pi m^2
40 pi m^2
400pi m^2
200pi m^2

Answers

What is the area of a circle formula?

The area of a circle formula:
$\pi r^2$

So all you have to do...
is plug in 20 for r!

$20 \pi ^2$
20 x 20 is 400.
$400 \pi$

If you don't want pi...
400 x pi is about:
1256.64

The answer is (C).

Final answer:

The area of the circle with a radius of 20m is 400π square meters.

Explanation:

The formula to find the area of a circle is π * radius2. Given that the radius is 20m, we can substitute it into the formula: Area = π * (20m)2. This simplifies to 400π m2. Therefore, the correct answer is 400π m2.

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What is the factored form of n^2 – 25?

Answers

$n^2-25=(n-5)(n+5)$

During a soccer season, Mario made approximately 2 goal points for every 5 of his shots on goal. What is the probability that Marion would make 2 goal points on two shots in a row during the season?

Answers

The probability of each shot making it is ⅖. The probability of two shots making it is 2/5*⅖, which is 4/25 or .16

Answer: it would be .16 which is the answer

Step-by-step explanation:

2 3 4 cups of oatmeal and makes one dozen muffins. If he makes 3 dozen muffins for a club meeting and 2 1 2 dozen muffins for a family reunion, how much oatmeal will he use?

Answers

Answer:

15 1/8 cups of oatmeal will be used

Step-by-step explanation:

Firstly, we shall be calculating the total number of dozens of muffin made

That would be the addition of the dozens of muffin made for the family reunion and that made for the club meeting = 3 + 2 1/2 = 5 1/2 or simply 5.5 dozens

Now, from the question initially, 2 3/4 or simply 2.75 cups of oatmeal makes 1 dozen muffins

x cups of oatmeal = 5.5 dozens of muffin

x * 1 = 2.75 * 5.5

x = 15.125 cups of oatmeal or simply 15 1/8 cups of oatmeal

What is x over 6 equals 7/2

Answers

Well, let's write it out huh? x/6 = 7/2 Find the LCM LCM = The Least Common Multiple LMC = 6 Now multiply both sides by 6. x/6 * 6 = x 7/2 * 6 = 21 Rewrite it. x = 21

What does one half divided by four equal?