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timofeeve [1]
3 years ago
9

The perimeter of a rectangular garden is 374.

Mathematics
1 answer:
marusya05 [52]3 years ago
3 0

Answer:

The width is 88

Step-by-step explanation:

<u>Perimeter of a rectangle:  2L + 2W</u>

<u />

<u>Step 1:  Solve for W</u>

374 = 2(99) + 2W

374 - 198 = 198 + 2W - 198

176 / 2 = 2W / 2

88 = W

Answer:  The width is 88

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Wewaii [24]

Answer:

17/50

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5 0
3 years ago
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
In certain county, the number of charter schools is 4 less than twice the numbervof alternative schools. We know that there are
Vitek1552 [10]
1. Let's call the number of carter school: "x" and "y" the number of alternative school.  Then, you have that:

 - T<span>he number of charter schools is 4 less than twice the number of alternative schools.
</span> - T<span>here are 48 charter schools in the country.

 2. So, you have:

 x=2y-4  (i)

 x=48  (ii)

 3. Then, when you substitute x=48 into the equation (i), you obtain:
</span>
 x=2y-4
<span> 48=2y-4

 4. Now, you must clear "y, as below:

 48+4=2y
 2y=52
 y=52/2
 y=26
 </span><span>
 How many alternative schools are in the county?
</span><span>
 The answer is: There are 26 alternative schools.</span>
6 0
3 years ago
HELP PLEASE COME FAST
Triss [41]
1st one: since we  are dealing with the same unit, months and aid cannot mix so this is wrong

2nd one: doesn't include the 2.59 so this is wrong

3rd one: includes both 70% and 2.59 so this is correct

4th one: this doesn't include a greater than sign > so this is wrong


the answer is the 3rd one
5 0
3 years ago
For question 3, use the Pythagorean Theorem.
Juliette [100K]

Step-by-step explanation:

can't really use the Pythagorean because you don't know this is a right triangle.

use the fact that they are similar

so

3/6 = x/12 where x is FE

cross multiply

6x = 36 therefore FE = 6

then 6/12 = y/9 where y is FD

cross multiply

12y = 54 = 54/12 therefore FD = 4.5

3 0
3 years ago
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