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3 years ago

The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?

Mathematics

1 answer:

yan [13]3 years ago

3 0

Answer:

$22.95/hour.

Step-by-step explanation:

It is given that the average wage for an electrician in CA is $25.47/hour. That is 11% above the national average.

Let as consider x be the national average.

11% above the national average is

$x+\dfrac{11}{100}x=x+0.11x=1.11x$

The average wage for an electrician in CA is 11% above the national average. So,

$1.11x=25.47$

Divide both sides by 1.11.

$x=\dfrac{25.47}{1.11}$

$x=22.945945...$

$x=22.95$

Therefore, the national average is $22.95/hour.

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The base of a solid is the region in the first quadrant bounded by the line x=-2y+6 and the coordinate axes. What is the volume

nika2105 [10]

Answer:

$V = \frac{4y^3}{3} -12y^2 +36 y \Big|_0^3$

$V= \frac{4(3)^3}{3} -12(3)^2 +36 (3) -0 = 36-108+108= 36$

Step-by-step explanation:

For this case we have the following plot on the figure attached.

We know on this case that $x = -2y+6$ represent our radius for the square, since we need cross sections perpendicular to the y axis.

We find the intersection points like this:

$x= 0 , y=3$

$y=0, x=6$

Since we are assuming squares for the cross sections the area is given by $A = r^2$ where r = x= -2y+6.

Since our radius is on terms of x we can create a integral with limits on x in order to find the volume, And we can use the following integral in order to find the volume.

$V = \int_{0}^3 (-2y+6)^2 = \int_{0}^3 4y^2 -24y +36 dy$

On the left part we are using the following property from algebra:

$(a+b)^2 = a^2 +2ab +b^2$

$(-2y+6)^2 = (-2y)^2 +2*(-2y)(6) +(6)^2 = 4y^2 -24y+36$

And after do the integral we got this:

$V = \frac{4y^3}{3} -12y^2 +36 y \Big|_0^3$

$V= \frac{4(3)^3}{3} -12(3)^2 +36 (3) -0 = 36-108+108= 36$

7 0

3 years ago

A man and a woman agree to meet at a cafe about noon. If the man arrives at a time uniformly distributed between 11:40 and 12:10

kompoz [17]

Answer:

0.3888

Step-by-step explanation:

To solve the exercise we need a neutral time, so we define at 12:00 as time 0.

If the man arrives in a uniformly distributed time between 11:40 and 12:10, the time is distributed from -20 to 10.

If the woman arrives in a time evenly distributed between 11:45 and 12:20, the time is distributed from -15 to 20.

Assuming that each one arrives at 12: X and 12: Y for men and women, then the space of our time is defined as

Man [-20,10]

Woman [-15,20]

So,

$f_x(x)=\frac{1}{10-(-20)}=\frac{1}{30}\\f_y(y)=\frac{1}{20-(-15)}=\frac{1}{35}$

Then,

$f_{xy}(x,y)=f_x(x)f_y(y)=\frac{1}{30} \frac{1}{35} = \frac{1}{1050}$

The probability of finding an arrival less than 5 minutes is

$P(|X-Y|\leq 5) = \int\limit^20_{-15} \int\limit^{x+5}_{x-5} f(x,y)dydx$

$P(|X-Y|\leq 5)= \frac{1}{1050}\int\limit^{20}_{-15} y|^{x+5}_{x-5}dx$

$P(|X-Y|\leq 5)= \frac{35*10}{900}=0.3888$

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3 years ago

How many units long is a segment whose endpoints are (-4,1) and (1,13)?

Ann [662]

Answer:

Step-by-step explanation:

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Sorry if the explanation is a bit confusing but, I used the distance formula to do this.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

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3 years ago

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A student clamied that the number -4 is not rational because it is not a ratio of two integers. Do you agree or disagree?

RideAnS [48]

Answer:

I disagree.

Step-by-step explanation:

An integer is a whole number ranging from -2,147,483,648 to 2,147,483,647.

A ratio of two integers with -4 could be -4/1, so -4 is a rational number.

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3 years ago

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Kwasi bought `15` postage stamps for `\$8.25`. All stamps cost the same amount. How many stamps can Kwasi purchase with $22

Debora [2.8K]

The number of stamps and the cost are illustrations of unit rates

40 stamps would cost $22

The cost of 15 postage stamps is $8.25

Start by calculating the unit rate of the stamps.

$Unit = \frac{8.25}{15}$

$Unit = 0.55$

So, the number of stamps for $22 is calculated by dividing $22 by the unit rate.

So, we have:

$Number=\frac{22}{0.55}$

$Number=40$

Hence, 40 stamps would cost $22

The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?​

The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?