$6.50 is what percent of $130

Answers

Answer 1

Answer:
$\displaystyle \n p = (6.5)/(130) * 100 = (6.5* 100)/(130)= (650)/(130)= \boxed{ 5\% }$

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Solve for y 4y — - 7 = -3 5

The following lines are parallel. 2x + 6y = 5 and y = 3x + 8
a. True
b. False

Answers

To find out whether these lines are parallel or not, we have to calculate the slope. If the slope is same in both equations, then we can say both lines are parallel to each other.
For that purpose, we have to change the format of the equation in this way, y=mx+C.

2x + 6y = 5
y = -1/3 x + 5

y = 3x + 8

Since the slope ( -1/3 and 3 ) of the equations are not equal, these are not parallel to each other.

Answer is b.False

What is the slope of the line that goes through (6,5) and (3,1)?Answers:
A.3/4
B.-3/4
C.4/3
D.-4/3

Answers

Solving the slope,
m = (y2 - y1)/(x2 - x1)
m = (1 - 5)/(3 - 6)
m = (-4)/(-3)
m = 4/3

The answer is c.

What is the coefficient of x^2y^3 in the expansion of (2x+y)^5

Answers

Answer:

Step-by-step explanation:

A P E X

We figure out the coefficient of x^2y^3 by figuring out the coefficients in both (x+y)^4 and (x+2y)^4.

Using the binomial theorem, the coefficient of x^2y^3 on the first expansion is

(4 choose 3)x^2y^3=6x^2y^3,

and the coefficient of x^2y^3 on the second expansion is

(4 choose 3)x^2(2y)^3=6x^2(4y^2)=24x^2y^3.

Thus, the coefficient in the sum of these two expansions is 6+24=30.

The table gives the mean and standard deviation of four data distributions.Mean Standard Deviation
Distribution 1 22 0.2
Distribution 2 21 0.8
Distribution 3 19 1.2
Distribution 4 20 3.2
which Distribution has the greatest spread.? help please !

Answers

The distribution 4 has the greatest spread because the value of the standard deviation is 3.2

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

As we know, the standard deviation will give idea about the spread of the data.

As we can see in the distribution 4

The standard deviation = 3.2

And 3.2 is the bigger than all other distribution.

Thus, the distribution 4 has the greatest spread because the value of the standard deviation is 3.2

Learn more about the standard deviation here:

brainly.com/question/12402189

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The sample with the greatest standard deviation relative to the mean has the greatest spread. Since the means are all similar, we just look at the distribution with the highest standard deviation. This is Distribution 4, with a standard deviation of 3.2.

A cube has a volume of 64 cubic cm. What is the length of one side?

Answers

the length of one side is 4 V= a^3 so 4^3 is 64

1) 5x-2y=4. 2) 3x-5y=13 x-2y=5
3x+y=9

Answers

$\left\{\begin{array}{ccc}5x-2y=4\n3x+y=9&/\cdot2\end{array}\right\n+\left\{\begin{array}{ccc}5x-2y=4\n6x+2y=18\end{array}\right\n----------\n.\ \ \ \ \ 11x=22\ \ \ \ /:11\n.\ \ \ \ \ \ \ x=2\n\n3\cdot2+y=9\n6+y=9\ny=9-6\ny=3\n\nAnswer:x=2;\ y=3$

$\left\{\begin{array}{ccc}3x-5y=13\nx-2y=5\end{array}\right\n\left\{\begin{array}{ccc}3x-5y=13\nx=2y+5\end{array}\right\n\nsubstitute:\n\n3(2y+5)-5y=13\n6y+15-5y=13\ny=13-15\ny=-2\n\nx=2\cdot(-2)+5=-4+5=1\n\nAnswer:x=1;\ y=-2.$

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A cylindrical swimming pool has a diameter of 18 feet and a height of 4 feet. About how many liters of water are needed to fill the swimming pool 85% of its total volume? Round your answer to the nearest whole number. (1 ft³ ≈ 28.3 L) To the nearest whole number of liters.

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