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NeTakaya
2 years ago
6

A coin is tossed four times. What is the probability of getting tails four times in a row?

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
7 0

Answer:

b)  1/32

Step-by-step explanation:

1/2 x 1/2 x 1/2 x 1/2 = 1/32

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Solve: Vx+1= Vx+6 -1
swat32

Answer:

x + 1 = x +7-2\sqrt{x+6}

Step-by-step explanation:

\sqrt{x+1}= \sqrt{x+6}-1

Squaring both sides of the equation would give (\sqrt{x+1} )^{2} =(\sqrt{x+6}-1 )^{2} which then simplifies to x + 1 = x -2\sqrt{x+6}+7

We can then subtract 7 from both sides to get x-6=x-2\sqrt{x+6}

Then we can subtract x from both sides, which cancel out and we get -6 =-2\sqrt{x+6}

Then we need to divide both sides by -2 to get 3=\sqrt{x+6}

Then we need to square both sides (3)^{2} =(\sqrt{x+6} )^{2} to get rid of the square root to get 9 = x + 6

Then finally subtracting 6 from both sides we get 3 = x

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A shirt originally cost $52.29, but it is on sale for $36.60. What is the percentage decrease of the price of the shirt? If nece
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Step-by-step explanation:

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Average rate of change help!!
frez [133]

Given that the function is f(x)=x^{3}-6 x^{2}+4 x+7

We need to determine the average rate of change over the interval 0 \leq x \leq 5

<u>Value of f(x) when x = 0:</u>

Substituting x = 0 in the function f(x)=x^{3}-6 x^{2}+4 x+7, we have;

f(0)=(0)^{3}-6 (0)^{2}+4 (0)+7

f(0)=0-0+0+7

f(0)=7

Thus, the value of f(0) is 7.

<u>Value of f(x) when x = 5:</u>

Substituting x = 5 in the function f(x)=x^{3}-6 x^{2}+4 x+7, we have;

f(5)=(5)^{3}-6 (5)^{2}+4 (5)+7

f(5)=125-150+20+7

f(5)=2

Thus, the value of f(5) is 2.

<u>Average rate of change:</u>

The average rate of change can be determined using the formula,

Rate \ of \ change=\frac{f(b)-f(a)}{b-a}

where a=0 and b=5

Thus, we have;

Rate \ of \ change=\frac{f(5)-f(0)}{5-0}

Rate \ of \ change=\frac{2-7}{5-0}

Rate \ of \ change=\frac{-5}{5}

Rate \ of \ change=-1

Thus, the average rate of change over the interval 0 \leq x \leq 5 is -1.

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3 years ago
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