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2 years ago

Chet's father is 5 times as old as Chet. In 6 years, his father will

Mathematics

1 answer:

zaharov [31]2 years ago

6 0

Answer: Chet is 6 years old now

Step-by-step explanation:

Chet is 6 years old now and his father is 5 x 6 years = 30 years old now.

In 6 years, Chet will be 12 years old, so his father will be 3 x 12 years old = 36 years old.

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Solve 2x+y=-1 and -x+y=-7 in substitution method

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Answer:x=2 y=-5

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3 years ago

Help please quickly thank you so much

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2 years ago

Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f

BabaBlast [244]

Answer:

153 times

Step-by-step explanation:

We have to flip the coin in order to obtain a 95.8% confidence interval of width of at most .14

Width = 0.14

ME = $\frac{width}{2}$

ME = $\frac{0.14}{2}$

ME = $0.07$

$ME\geq z \times \sqrt{\frac{\widecap{p}(1-\widecap{p})}{n}}$

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z at 95.8% is 1.727(using calculator)

$0.07 \geq 1.727 \times \sqrt{\frac{0.5(1-0.5)}{n}}$

$\frac{0.07}{1.727}\geq sqrt{\frac{0.5(1-0.5)}{n}}$

$(\frac{0.07}{1.727})^2 \geq \frac{0.5(1-0.5)}{n}$

$n \geq \frac{0.5(1-0.5)}{(\frac{0.07}{1.727})^2}$

$n \geq 152.169$

So, Option B is true

Hence we have to flip 153 times the coin in order to obtain a 95.8% confidence interval of width of at most .14 for the probability of flipping a head

6 0

2 years ago

a park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park?

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So, first, what are the two sides?

let's call then x and y

we know that 2(x+y)=12.5 (that's the distance around)

so that means that x+y=6.25 (I just divided both by 2)

now, x=4y (from "4 times as long as it is wide")

so we can substitute:

x+4x=6.25

5x=6.25

x=1.25

so one side, is 1.25 and the other will be 1.25*4=5

and for the area we multiply the two:

1.25*5=6.25 square kilometers, and this is the answer!

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3 years ago

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