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lana66690 [7]
3 years ago
6

110 degrees (8x+30) x=

Mathematics
1 answer:
Travka [436]3 years ago
8 0

Answer: x = 17.5

Step-by-step explanation:

Simplifying

8x + -30 = 110

Reorder the terms:

-30 + 8x = 110

Solving:

-30 + 8x = 110

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '30' to each side of the equation.

-30 + 30 + 8x = 110 + 30

Combine like terms: -30 + 30 = 0

0 + 8x = 110 + 30

8x = 110 + 30

Combine like terms: 110 + 30 = 140

8x = 140

Divide each side by '8'.

x = 17.5

Simplifying

x = 17.5

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The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city imposes a tax which will raise al
matrenka [14]

Answer:

The coefficient of variation after the tax is imposed is 0.033

Step-by-step explanation:

Given

\mu =1000 --- mean

\sigma^2 = 1200 --- variance

tax = 10\%

Required

The coefficient of variation

The coefficient of variation is calculated using:

CV = \frac{\sqrt{\sigma^2}}{\mu}

After the tax, the new mean is:

\mu_{new} = \mu * (1 + tax)

\mu_{new} = 1000 * (1 + 10\%)

\mu_{new} = 1100

And the new variance is:

\sigma^2_{new} = \sigma^2 * (1 + tax)

\sigma^2_{new} = 1200 * (1 + 10\%)

\sigma^2_{new} = 1320

So, we have:

CV = \frac{\sqrt{\sigma^2}}{\mu}

CV = \frac{\sqrt{1320}}{1100}

CV = \frac{36.33}{1100}

CV = 0.033

6 0
3 years ago
[GEOMETRY] Suppose A and B are independent events.  what is P(A U B) ?
ra1l [238]
My guess would be B.
Don't quote me on this lol.
8 0
3 years ago
Please help!!!!!!!!!!!!!!!! 100pts,
Helga [31]

QUESTION:

The code for a lock consists of 5 digits (0-9). The last number cannot be 0 or 1. How many different codes are possible.

ANSWER:

Since in this particular scenario, the order of the numbers matter, we can use the Permutation Formula:–

  • P(n,r) = n!/(n−r)! where n is the number of numbers in the set and r is the subset.

Since there are 10 digits to choose from, we can assume that n = 10.

Similarly, since there are 5 numbers that need to be chosen out of the ten, we can assume that r = 5.

Now, plug these values into the formula and solve:

= 10!(10−5)!

= 10!5!

= 10⋅9⋅8⋅7⋅6

= 30240.

3 0
3 years ago
Solve by elimination 3×+11y=4,-2×-6y=0
gizmo_the_mogwai [7]
3x + 11y = 4

2x + 6y = 0

I got
15/2, -5/4
6 0
3 years ago
100 POINTS PLEAS please help
Kamila [148]

Answer:

\textsf{A)} \quad 5u^3-2u^2+5u+8

Step-by-step explanation:

Given expression:

(-2u^3+5u-1)+(7u^3-2u^2+9)

Remove parentheses:

\implies -2u^3+5u-1+7u^3-2u^2+9

Collect like terms:

\implies -2u^3+7u^3-2u^2+5u-1+9

Combine like terms:

\implies 5u^3-2u^2+5u+8

6 0
2 years ago
Read 2 more answers
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