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2 years ago

What is the completely factored form 8x2-50y2?

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

7 0

Remember
a²-b²=(a-b)(a+b)

8x²-50y²
2(4x²-25y²)
(2)([2x]²-[5y]²)
2(2x-5y)(2x+5y)

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What is 0.514 written as a power of 10? 514 x 102 514 x 103 514 x 10-3

vovikov84 [41]

$0\underbrace{.514}_{3\to}=514\cdot10^{-3}$

8 0

2 years ago

Read 2 more answers

1 point) As reported in "Runner's World" magazine, the times of the finishers in the New York City 10 km run are normally distri

BigorU [14]

Answer:

(a) E (X) = 61 and SD (X) = 9

(b) E (Z) = 0 and SD (Z) = 1

Step-by-step explanation:

The time of the finishers in the New York City 10 km run are normally distributed with a mean,μ = 61 minutes and a standard deviation, σ = 9 minutes.

(a)

The random variable X is defined as the finishing time for the finishers.

Then the expected value of X is:

E (X) = 61 minutes

The variance of the random variable X is:

V (X) = (9 minutes)²

Then the standard deviation of the random variable X is:

SD (X) = 9 minutes

(b)

The random variable Z is the standardized form of the random variable X.

It is defined as: $Z=\frac{X-\mu}{\sigma}$

Compute the expected value of Z as follows:

$E(Z)=E[\frac{X-\mu}{\sigma}]\\=\frac{E(X)-\mu}{\sigma}\\=\frac{61-61}{9}\\=0$

The mean of Z is 0.

Compute the variance of Z as follows:

$V(Z)=V[\frac{X-\mu}{\sigma}]\\=\frac{V(X)+V(\mu)}{\sigma^{2}}\\=\frac{V(X)}{\sigma^{2}}\\=\frac{9^{2}}{9^{2}}\\=1$

The variance of Z is 1.

So the standard deviation is 1.

8 0

1 year ago

An animal park has lions, tigers and zebras. 20% of the animals are lions and half of the animals are zebras. If there are 120 a

RoseWind [281]

Answer:

$36\ tigers$

Step-by-step explanation:

Let

x ----> the number of lions

y ----> the number f tigers

z ----> the number of zebras

we know that

$x+y+z=120$ ----> equation A

Remember that

$20\%=20/100=0.20$

$50\%=50/100=0.50$

To find out the number of lions, multiply the total animals by the percentage of lions

$x=0.20(120)=24\ lions$

To find out the number of zebras, multiply the total animals by the percentage of zebras

$z=0.50(120)=60\ zebras$

Substitute the value of x and the value of z in equation A and solve for y

$24+y+60=120$

$y+84=120$

$y=36\ tigers$

6 0

1 year ago

Which phrase describes only a square?

denis-greek [22]

Answer:

c is correct answer for you

5 0

2 years ago

2. Santiago wants the lateral surfaces of the

MakcuM [25]

Answer:

262 square feet of the ramp will be painted red.

Step-by-step explanation:

The lateral surface is surface area of the sides of the ramp without including the top and bottom faces

The ramp shown has three surfaces

The 2 sides are triangles with length 20 and height 8.5

The back is a rectangle shape with length 12 and height 8.5

Step 1: Finding the Area of triangle

The area of the triangle = $\frac{1}{2} length \times height$

The area of the triangle = $\frac{1}{2} (20 \times 8.5)$

The area of the triangle = $\frac{170}{2}$

The area of the triangle = 85 square feet

Area of 2 triangles = $85 \times 2$ = 170

Step 2: Finding the Area of Rectangle

Area of rectangle = $length \times height$

so,

Area of back rectangle = $12 \times 8.5$ = 102 square feet

Step 3: Finding the total lateral surface area

Total Lateral Surface Area

= Area of triangle + Area of Rectangle

= 272 square feet

8 0

1 year ago