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Morgarella [4.7K]
3 years ago
13

#5 Find the unit rate of the tuation below. ou run 12 miles in 2 hours

Mathematics
1 answer:
Alex73 [517]3 years ago
6 0

Answer:

6 miles per hour

Step-by-step explanation:

12 ÷ 2= 6

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Rewrite the equation by completing the square. 4 x^2 +20 x +25 = 0
Sav [38]

Answer:

x=-5/2

Step-by-step explanation:

4 x^2 +20 x +25 = 0

x^2+5x=-25/4

(b/2)^2=(5/2)^2

x^2+5x+25/4=0

(x+5/2)^2=0

x=-5/2

(Hope this helps)

6 0
3 years ago
A May 2000 Gallup poll found that 38% of the people in a random sample of 1,012 adult Americans said that they
Alex777 [14]

Answer:

10.

x P(X)

0 0.238

1 0.438

2 0.269

3 0.055

11.

0.707

There is 70.7% chance that at least one but at most two adults in the sample believes in the ghost

12.

1.14≅1

There will be one adult out of three we expect to believe in the ghost

Step-by-step explanation:

The probability distribution is constructed using binomial distribution.

We have to construct the probability distribution of the number adults believe in ghosts out of three adults. so,

x=0,1,2,3

n=3

p=probability of adults believe in ghosts=0.38

The binomial distribution formula

nCxp^xq^n-x=3cx0.38^x0.62^3-x

is computed for x=0,1,2,3 and the results depicts the probability distribution of the number adults believe in ghosts out of three adults.

x P(X)

0 0.238

1 0.438

2 0.269

3 0.055

11.

P(at least one but at most two adults in the sample believes in the ghost )= P(x=1)+P(x=2)=0.437+0.269=0.707

P(at least one but at most two adults in the sample believes in the ghost )=70.7%

12. E(x)=n*p

here n=3 adults and p=0.38

E(x)=3*0.38=1.14

so we expect one adult out of three will believe in the ghosts.

4 0
3 years ago
F(x) = 4√(2x³-1)<br> F'(x) =.....?
goldfiish [28.3K]

Answer:

\large\boxed{f'(x)=\dfrac{12x^2}{\sqrt{2x^3-1}}}

Step-by-step explanation:

f(x)=4\sqrt{2x^3-1}=4\left(2x^3-1\right)^\frac{1}{2}\\\\f'(x)=4\cdot\dfrac{1}{2}(2x^3-1)^{-\frac{1}{2}}\cdot3\cdot2x^2=\dfrac{12x^2}{(2x^3-1)^\frac{1}{2}}=\dfrac{12x^2}{\sqrt{2x^3-1}}\\\\\text{used}\\\\\sqrt{a}=a^\frac{1}{2}\\\\\bigg[f\left(g(x)\right)\bigg]'=f'(g(x))\cdot g'(x)\\\\\bigg[nf(x)\bigg]'=nf'(x)\\\\(x^n)'=nx^{n-1}

6 0
3 years ago
What is he inverse of the function f(x) =1/4x-12
Aleks [24]
The answer is D....

5 0
3 years ago
Seven-eighths equals 0.875 and is a(n) ___.
denis23 [38]

Answer:

negative number

Step-by-step explanation:

Numerator is 125 as dividing makes 875/1000

Numerator is 0.875 we can divide again by 8.75/10

we find that 0.875 = 875/1000 is equivalent to 7/8

4 0
3 years ago
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