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xxTIMURxx [149]
3 years ago
6

A 99​-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.

Mathematics
1 answer:
damaskus [11]3 years ago
8 0

Answer:

16.5 inch

Step-by-step explanation:

piece one = 1u

piece two, which is 5 times= 5u

total length = 6u = 99

1u= 99÷6= 16.5 inch

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A study conducted at a certain high school shows that 72% of its graduates enroll at a college. Find the probability that among
mixas84 [53]

Answer:

P(X \geq 1) =1-P(X

And we can use the probability mass function and we got:

P(X=0)=(4C0)(0.72)^0 (1-0.72)^{4-0}=0.00615

And replacing we got:

P(X \geq 1) = 1-0.00615 = 0.99385

Step-by-step explanation:

Let X the random variable of interest "number of graduates who enroll in college", on this case we now that:  

X \sim Binom(n=4, p=0.72)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

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We want to find the following probability:

P(X \geq 1)

And we can use the complement rule and we got:

P(X \geq 1) =1-P(X

And we can use the probability mass function and we got:

P(X=0)=(4C0)(0.72)^0 (1-0.72)^{4-0}=0.00615

And replacing we got:

P(X \geq 1) = 1-0.00615 = 0.99385

5 0
3 years ago
The equation of line fis - 3y + 4x = 9 write the equation of a line that is parallel to line and passes through the point (- 12,
ollegr [7]

Answer:

y =  - 4x - 42

Step-by-step explanation:

The equation of the line that is parallel to the line we are trying to find is

- 3y + 4x = 9 \\ or \\  - 3y =  - 4x + 9 \:(standard form) \\ \\therefore \: the \: slope \: of \: the \: line \\  \: is \:  - 4

We can recall that when two lines are parallel it means that they have the same slope. Therefore the slope of the line we are trying to find is also -4. We now know that:

y = 6 \:  \:  \: x =  - 12 \:  \:  \: slope =  - 4

Therefore the equation of the line is:

y = mx + c \\  6= ( - 4)( - 12) + c \\ 6 = 48 + c \\ 6 - 48 = c \\  - 42 = c

y = mx + c \\ y =  - 4x - 42

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2 years ago
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Sidana [21]

Answer:

Step-by-step explanation:

slope is -3/2. rise/run. There's already a graph there so I'm assuming no need to show one

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3 years ago
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Answer:

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