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kkurt [141]
3 years ago
13

Avry and Barbara are each at home, 10 miles apart. They agree to meet up and begin walking toward one another. Avry walks at 3 m

iles an hour and Barbara walks at 2 miles per hour. How long will it take them to meet up?
Mathematics
1 answer:
zzz [600]3 years ago
7 0

Answer: 2 hours

Step-by-step explanation:

If they both walk 5 miles an hour combined, then it would take 2 hours for them to walk 10 miles.

hope this helps

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For X a binomial random variable with n=5 and p=1/4, answer the following
mash [69]
Recall that for X\sim\mathrm{Bin}(n,p), i.e. a random variable X following a binomial distribution over n trials and with probability parameter p,

\mathbb P(X=x)=f_X(x)=\begin{cases}\dbinom nx p^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}

So you have

\mathbb P(X=2)=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac34\right)^{5-2}=\dfrac{135}{512}\approx0.26

\mathbb P(2\le X\le4)=\displaystyle\sum_{x=2}^4\mathbb P(X=x)
=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}
=\dfrac{375}{1024}\approx0.37

The expected value of X\sim\mathrm{Bin}(n,p) is simply np, while the standard deviation is \sqrt{np(1-p)}. In this case, they are \dfrac54=1.25 and \sqrt{\dfrac{15}{16}}\approx0.97, respectively.
7 0
3 years ago
Help me plss, number 2.​
Gnesinka [82]

Answer:

At (-2,0) gradient is -4 ; At (2,0) gradient is 4

Step-by-step explanation:

For this problem, we simply need to take the derivative of the function and evaluate when y = 0 (when crossing the x-axis).

y = x^2 - 4

y' = 2x

The function y = x^2 - 4 cross the x-axis when:

y = x^2 - 4

0 = x^2 - 4

4 = x^2

2 +/- = x

Hence, this curve crosses the x-axis twice, once at (-2,0) and again at (2,0).

The gradient at these points are as follows:

y' = 2(-2) = -4

y' = 2(2) = 4

Cheers.

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4 years ago
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Triss [41]

Answer:

I can maybe!

OK, sorry it took me so long I wanted to make sure I gave you the best answer I could so I had to think a little. Anyway. If I had to pick one I would choose...

D. The value of g(x) is determined by the value of h times x.

I really hope this helps! I tried my best!




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3 years ago
Evaluate x - y - (-z) if x = -3, y = -7, and z = -9
IceJOKER [234]
It would be -6 x+9 i think.
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3 years ago
I am in need of help :) please and thank you :):
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It’s the second answer
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