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Lubov Fominskaja [6]
3 years ago
5

The length of a shadow of the building is 36m. The length of the pole, which is perpendicular to the ground, is 1.9m. The length

of the pole's shadow is 1.52m. What is the height of the building?
Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer:

45

Step-by-step explanation:

We are assuming that the pole's shadow and buildings shadow are proportional so our ratio is

x/36=1.9/1.52

cross multiply

1.52x=68.4

simplify

x=45

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The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a st
Alinara [238K]

Answer:

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

Step-by-step explanation:

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}

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. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem

The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer, so \mu = 0.5, \sigma = 0.05.

What is the probability that a line width is greater than 0.62 micrometer?

That is P(X > 0.62)

So

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

Z = \frac{0.62 - 0.5}{0.05}

Z = 2.4

Z = 2.4 has a pvalue of 0.99180.

This means that P(X \leq 0.62) = 0.99180.

We also have that

P(X \leq 0.62) + P(X > 0.62) = 1

P(X > 0.62) = 1 - 0.99180 = 0.0082

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

3 0
3 years ago
What the answer to the question​
Katarina [22]

Answer:

the first option

Step-by-step explanation:

2 angles are adjacent when:

They share a common vertex

and

they share a common side.  

5 0
3 years ago
Turn 0.96 into a fraction
bagirrra123 [75]

Answer:

24/25

Step-by-step explanation:


.96  

the last digit is in the hundredths place so put it over 100

96/100

now we simplify

divide top and bottom by 4

24/25


3 0
3 years ago
Read 2 more answers
The Rawesome Cafeteria manufactures round metal tabletops for restaurants. The machinist uses ¼ sheet of metal for each tabletop
Serjik [45]
Prime cost is the combination of a manufactured product's costs of direct materials and direct labor. In other words, prime cost refers to the direct production costs.
Prime cost=direct material cost+direct labor cost

Direct material cost of a tabletop is
380×(1÷4)=95 for each tabletop

Direct labor cost
The question says The machinist cuts and polishes five tabletops each hour
Which means 27.50 of direct labor to cut and polish 5 tabletops So direct labor cost for each tabletop is
27.50÷5=5.5

Finally the prime cost of cutting and polishing a tabletop is
Prime cost=95+5.5=100.5
5 0
3 years ago
Consider the solution to the linear equation. 5 (x + 6) = 50. 5 x + 30 = 50. 5 x = 20. x = 4. Which describes the inverse operat
dem82 [27]

(trying to isolate/get x by itself in the equation)

5(x + 6) = 50      Distributive property   [distribute 5 into (x + 6)]

5x + 30 = 50    Subtraction    [subtract 30 on both sides of the equation]

5x = 20       Division     [divide 5 on both sides]

x = 4

Subtraction then division, the 2nd option

7 0
3 years ago
Read 2 more answers
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