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natulia [17]
3 years ago
6

How do you solve an equation when yhe variable is being divided by a whole number

Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0
For example, if x/2=7, x would be equal to 7x2=14, bringing the whole number the variable is divided by to the other side of the equation.
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A simple random sample of electronic components wil be selected to test for the mean lifetime in hours. Assume that component li
Serjik [45]

Answer:

189 components must be sampled.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.005 = 0.995, so Z = 2.575.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.

This means that \sigma = 16

How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?

n components must be sampled.

n is found when M = 3. So

M = z\frac{\sigma}{\sqrt{n}}

3 = 2.575\frac{16}{\sqrt{n}}

3\sqrt{n} = 2.575*16

\sqrt{n} = \frac{2.575*16}{3}

(\sqrt{n})^2 = (\frac{2.575*16}{3})^2

n = 188.6

Rounding up:

189 components must be sampled.

4 0
3 years ago
Sahana sells two products for ₹. 8000 each gaining 8% on one and losing 6% on the other. Find her gain or loss percent in the wh
Margaret [11]

Based on the information given the gain or loss percent on the whole transaction​ is 1%.

<h3>Gain or loss percent: </h3>

First step is to calculate the profit on the whole transaction

Profit=(8%×8,000)-(6%×8,000)

Profit=$640-$480

Profit=$160

Now let calculate the gain or loss percentage on the whole transaction

Gain or loss percentage=160/(8000+8000)×100

Gain or loss percentage=160/16000×100

Gain or loss percentage=1%

Inconclusion the gain or loss percent on the whole transaction​ is 1%.

Learn more about gain or loss here:brainly.com/question/25278228

5 0
2 years ago
Select all equations where r=3 is a solution
belka [17]

Answer:

the first equation

Step-by-step explanation:

5 0
3 years ago
A number is increased by 54. The sumos then divided by 9. The result is 21. Write an equation to represent the discription, use
hram777 [196]

Answer:

  (n+54)/9 = 21

Step-by-step explanation:

A number: n

Is increased by 54: n+54

The sum is divided by 9: (n +54)/9

and the result is 21:

  (n +54)/9 = 21

6 0
3 years ago
Ppplllzzz hhhheeelllllllpppppp ​
timama [110]

Answer:

65

Step-by-step explanation:

Formula: 1/2bh

An isosceles triangle has at least 2 sides equal, so the blank side is 13.

base=10

height=13

13*10=130

half of that is 65

5 0
3 years ago
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