Find the total width of three boards that 1 3/4 inches wide,7/8 inch wide,and 1 1/2 inches wide.

A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim

Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

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:

$\mu = 14$

Variance is 9.

The standard deviation is the square root of the variance.

So

$\sigma = \sqrt{9} = 3$

Calculate the probability that a component is at least 12 centimeters long.

This is 1 subtracted by the pvalue of Z when X = 12. So

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

$Z = \frac{12 - 14}{3}$

$Z = -0.67$

$Z = -0.67$ has a pvalue of 0.2514.

1-0.2514 = 0.7486

74.86% probability that a component is at least 12 centimeters long.

6 0

2 years ago

Fuji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per pound. A childcare center purchases 30 pounds of a

Anna71 [15]

A is your answer to the question

8 0

2 years ago

Please help. Trig: Laws of Cosines

Nonamiya [84]

Answer:

11.4

Step-by-step explanation:

d² = 6² + 6² - 2(6)(6)cos145

d² = 130.9789472

d = 11.44460341

3 0

3 years ago

Answer the following True or False:

Ilia_Sergeevich [38]

False; consider as a counterexample the function f : ℝ→ℝ defined by

$f(x)=\begin{cases}-3&\text{for }x\neq2\\0&\text{for }x=2\end{cases}$

Clearly f approaches -3 as x gets closer to -2, but neither limit from either side is equal to the function's value at x = 2 (that is, -3 ≠ 0), so f is not continuous.

4 0

2 years ago

Liem is 6 feet 2 inches, Eli is 5 feet 9 inches, Faith is 6 feet, and Simon is 5 feet 4 inches. In yards, what is the total of t

Oksi-84 [34.3K]

First step is find total height of all the figures expressed in feet: Liem: 6 ft 2 inch = 6,167 ft Eli: 5 ft 9 inch = 5,75 ft Faith 6 ft Simon: 5 ft 4 inch = 5,34 ft To calculate the total height we need to know that 12 inches are 1 foot 6â€™2â€ť+5â€™9â€ť+6+5â€™4â€ť= 22 ft 15 inch = 23 ft 3 inch Another way is by adding decimal figurel: 6,167 + 5,75 + 6 + 5,34 = 23,25 feet Then we know that 3 feet are 1 yard, so then total height is: 23,25 / 3 = 7,75 yards

7 0

2 years ago