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2 years ago

-2 1/6 + -3 1/3 + -5 1/2

Mathematics

1 answer:

N76 [4]2 years ago

3 0

Answer:

-2 1/6 + -3 1/3 + -5 1/2 = -11

Step-by-step explanation:

-2 + -3 + -5 = -10

-1/6 +- 1/3 + -1/2 = -1

-10+-1=-11

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Can one of y’all help me with this pls

garri49 [273]

Answer: B

Step-by-step explanation:

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2 years ago

Is 11/12 a rational or irrational number

Reika [66]

Answer:

Rational

Step-by-step explanation:

A rational number is any number that can be written as a ratio of integers. 11 and 12 are both integers, so 11/12 is rational.

6 0

3 years ago

Suppose △ABC has exterior angle at vertex B. The exterior angle is (12x−24)°, m∠A=(3x−6)°, and m∠C=(6x+12)°. What is the measure

Temka [501]

Answer: 96°

Step-by-step explanation:

If a triangle is being drawn, Angle A and C will be the two remote interior angles in the triangle. The sum of the two interior angles has to equal to the exterior angle.

Set them equal each other and solve for x.

(3x-6) + (6x +12) = 12x - 24 Combine like terms

9x + 6 = 12x - 24 Subtract 6 from both sides

- 6 -6

9x = 12x - 30 Subtract 12x from both sides

-12x -12x

-3x = -30 Divide both sides by -3

x = 10

Now since x is 10 degrees we will need to input the value into in for x in the exterior angle expression and break it down.

Exterior : 12(10) - 24

120 - 24 = 96

This means the measure of the exterior angle at vertex B is 96 degrees.

6 0

2 years ago

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

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:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

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 $1 - 0.075 = 0.925$ , so Z = 1.44.

Now, find the margin of error M as such

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

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

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

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

2 years ago

You make a $15 payment on your loan of $500 at the end of each month

lara [203]

Answer:

2.8 years or 33.6 months.

Step-by-step explanation:

I am not sure what your questions is, but I assume it is how long it will take to pay it off?

In a year (15*12,) you would have paid $180 of it.

x = 500/180

Therefore, it will take you approximately 2.8 years to pay off your loan, excluding interest, of course, since you did not provide that rate.

8 0

2 years ago