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3 years ago

Which of the following is the radical expression 5/a to the 7th power

Mathematics

1 answer:

Leto [7]3 years ago

3 0

When an exponent is a fraction, the denominator is written as a root, while the numerator is the power:

Since a is to the power of 5/7, the 7 becomes the 7th root, and the 5 becomes a^5. This is:

7th root of (a^5), or(B).

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Many identical bags of candy each contain 20 yellow, 15 red, 5 blue and 10 green candies. 15 children are each given their own c

lana66690 [7]

Answer:

0.9999

Step-by-step explanation:

Each bag has a total of 20 + 15 + 5 + 10 = 50 candies.

Each of the 15 kids get their own back and randomly pick 12 candies (without replacement)

First we are going to calculate the probability that they don't get any green candy.

P (not getting a green candy) = C₄₀,₁₂ /C₅₀,₁₂ .

Therefore, the probability of getting at least one candy is 1 - P(not getting a green candy)

P (getting at least one candy) = 1 - (C₄₀,₁₂/C₅₀,₁₂) = 1 - 0.0460 = 0.954

So the probability that one kid gets at least one green candy is 0.954

But now we need to find the probability that at least two of the 15 kids will each have at least one green candy.

To do this, we can use a binomial distribution where success will be getting at least one green candy with p = 0.954

Fail will be not getting a green candy with p = 1 -0.954 = 0.046.

k = 15

We need at least two kids to have success, so we can do P(at least 2 kids have success) = 1 - (P( X=0) + P (X=1))

P (X=0) = $\left[\begin{array}{ccc}0\\15\end{array}\right] (0.954)^{0}(0.046)^{15}$ = 8.737103395697172336050176 × 10⁻²¹

P(X=1) = $\left[\begin{array}{ccc}1\\15\end{array}\right] (0.954)^{1}(0.046)^{14}$ = 2.71799890418318556801908736 × 10⁻¹⁸

Therefore:

P(at least 2 kids have success) = 1 - (P( X=0) + P (X=1))

= 1 - (8.737103395697172336050176 × 10⁻²¹ + 2.71799890418318556801908736 × 10⁻¹⁸) = 0.9999

4 0

3 years ago

What is the answer to these questions?

Katen [24]

Answer:

1) 8 3/5

2) Option 3

6 0

2 years ago

Read 2 more answers

Please someone help I need this

Sunny_sXe [5.5K]

Answer:

the triangle

Step-by-step explanation:

The perimeter is the sum of the all sides of the shape.

Triangle:

3√147+2√108+2√48+3√75+ 6√12

147=49•3, 108=36•3, 48=16•3, 75=25•3, 12=4•3 that means

√147=7√3, √108=6√3, √48=4√3, √75=5√3, √12=2√3

perimeter=3•7√3+2•6√3+2•4 √3+3•5√3+6•2√3=68√3

Square:

4•1/3•√63=4/3•√9•√7=4√7

Rectangle:

2•1/4√100+2(2√48+4√75)=

5+2(8√3+20√3)=5+56√3

Now, if you use a calculator, you will find that the greatest perimeter is for the triangle shape.

8 0

3 years ago

a number is multiplied by 12 that tree is added to the result if the number is 51 what is the original number

ivann1987 [24]

The original number would be 48. 12 multiplied by 4 is 48, and if you add a three to that you will get 51.

Hope this helped :)

6 0

3 years ago

It is expected that 563 quadrillion thermal units of Btu (British thermal units) of energy will be

Evgesh-ka [11]

Answer:

the expected rate of change in consumption is 11.83

Step-by-step explanation:

The computation of the expected rate of change in consumption is shown below:

= (Expected quadrillion thermal units - 2003 quadrillion thermal units) ÷ (difference in years)

= (563 - 421) ÷ (2015 - 2003)

= 142 ÷ 12

= 11.83

hence, the expected rate of change in consumption is 11.83

We simply applied the above formula so that the correct value could come

And, the same is to be considered

3 0

3 years ago