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dedylja [7]
3 years ago
5

Write the ratio 5 to 8 as a fraction, decimal and percent. omg please help

Mathematics
1 answer:
Mashutka [201]3 years ago
5 0

Answer: 5:8, .625, 62.5%

Step-by-step explanation:

5 to 8 is already a ratio. Then all you have to do is divide it. Then to get the percentage, move the decimal point over to the right 2 places.

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For any positive integer n, prove that n^3-n is divisible by 6.please answer ​
ikadub [295]

Answer:

yes it is true

Step-by-step explanation:

if we take n=2 then

2°3-2=8-2=6

3 0
3 years ago
Which input value produces the same output value for
Natali5045456 [20]

Answer:

x=1

Step-by-step explanation:

it is the point of intersection of both lines which (1,1)

for x=1 both produce same value i.e.,1

7 0
3 years ago
A researcher was testing the number of popcorn kernels that popped out of a mini bag of 100 kernels after being cooked for the s
Lelechka [254]

Answer:

The percentage of the bag that should have popped 96 kernels or more is 2.1%.

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of popcorn kernels that popped out of a mini bag.

The mean is, <em>μ</em> = 72 and the standard deviation is, <em>σ</em> = 12.

Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.

Compute the probability that a bag popped 96 kernels or more as follows:

Apply continuity correction:

P( X\geq 96)=P( X>96+0.50)

                 =P( X>96.50)\\=P(\frac{X-\mu}{\sigma}>\frac{96.50-72}{12})\\=P(Z>2.04)\\=1-P(Z

*Use a <em>z</em>-table.

The probability that a bag popped 96 kernels or more is 0.021.

The percentage is, 0.021 × 100 = 2.1%.

Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.

3 0
3 years ago
The area of a rectangle is 30 square root 3750 square inches, and the length is 3 square root 250 inches what is the width of th
Ann [662]

Answer:

width=10\sqrt{15}\ in

Step-by-step explanation:

-A rectangle's area is given by:

A=lw\\\\l=length\\w=width

Given A=30\sqrt{3750} and l=3\sqrt{250}, we substitute in the formula to solve for the width as follows:

A=lw\\\\30\sqrt{3750}=3\sqrt{250}\times w\\\\w=\frac{30\sqrt{3750}}{3\sqrt{250}}\\\\w=10\frac{\sqrt{3750}}{\sqrt{250}}\\\\=10\times \sqrt{\frac{3750}{250}}\\\\=10\sqrt{15}\ in

Hence , the rectangle's width is 10\sqrt{15}\ in

6 0
3 years ago
A bank quotes an interest rate as 0.06341 annual effective yield. What interest rate, compounded monthly, will provide that
Leviafan [203]

9514 1404 393

Answer:

  0.06164

Step-by-step explanation:

The effective annual rate obtained by compounding nominal annual rate r monthly is ...

  eff rate = (1 +r/12)^12 -1

Then the value of r is ...

  r = 12×((eff rate) +1)^(1/12) -1)

For the given effective rate, that is ...

  r = 12×(1.06341^(1/12) -1) ≈ 0.06164 . . . . nominal annual interest rate

4 0
3 years ago
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