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3 years ago

What is the sum of (7x-6y) and (x+y)

Mathematics

1 answer:

NikAS [45]3 years ago

6 0

(7x-6y)+(x+y) add them because sum means you're doing addition...

7x-6y+x+y
8x-5y

(Remember that x=1x and y=1y)

You might be interested in

A major television manufacturer has determined that its 44 inch screens have a mean service life that can be modeled by a normal

Neko [114]

Answer:

$P(5$

And we can find this probability with thie difference:

$P(-2$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-2$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(6,0.5)$

Where $\mu=6$ and $\sigma=0.5$

We are interested on this probability

$P(5$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(5$

And we can find this probability with thie difference:

$P(-2$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-2$

5 0

3 years ago

Find the distance driven, if you drive at 60 mph for 3 1/2 hours. Round to the nearest whole mile.

blsea [12.9K]

The answer is <span>C. 210 mi
</span>
The velocity (v) is distance (d) divided by time (t):
v = d/t

v = 60 mph
t = 3 1/2 h = 3.5 h
d = ?

d = v * t
d = 60 * 3.5 = 210 mi

5 0

3 years ago

Read 2 more answers

Mabel is comparing the prices of two car rental companies. Company A charges $35 per day and an additional $15 as service charge

patriot [66]

Company A : C = 35D + 15....C is total cost and D is number of days
company B : C = 42D + 10...C is total cost and D is number of days
================
which company charges less for renting for 6 days
company A :
C = 35(6) + 15 = 225

company B :
C = 42(6) + 10 = 262

so company A charges less when renting for 6 days
=================
for 10 days...
company A :
C = 35(10) + 15 = 365

company B :
C = 42(10) + 10 = 430

so there would be (430 - 365) = 65 saved when using company A instead of company B

4 0

3 years ago

Water_____at 32 degrees F.<br><br> (Fill in the blank)

Arturiano [62]

freezing point. 32 or below is freezing point.

7 0

3 years ago

Read 2 more answers

Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0

3 years ago