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strojnjashka [21]
3 years ago
5

Give the slope-intercept form of the equation of the line that is perpendicular to –7x – 8y = 12 and contains P(–3, 1)

Mathematics
1 answer:
snow_lady [41]3 years ago
7 0

Answer:

(-7/8)

Step-by-step explanation:

the line is  -7x -8y =12

its slope = -(-7/-8)= -7/8

it passes through P(-3, 1)

(y-1)=(-7/8)(x+3)

y-1 = (-7/8)x - 21/8

y = (-7/8)x -13/8

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Yuki888 [10]

Answer:

28

Step-by-step explanation:

f(6) = -3 * 6 + 10 = -18 + 10 = -8

g(f(6)) = g(-8)

g(-8) = (-8)^{2} + 3 * (-8) - 12 = 64 - 24 - 12 = 64 - 36 = 28

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3 years ago
Which of the following expressions are equivalent to 6-37
xxMikexx [17]
Unfinished question.
4 0
3 years ago
For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.
Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=5, p=0.4)

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:

nCx=\frac{n!}{(n-x)! x!}

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

7 0
3 years ago
The surface area S , of a right rectangular prism with length l , width w ,and height h can be found using the formula below
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First, replace all variables with the given values.
12(9) + 9(2) + 2(12) 
This should then equal 150, then the formula says to multiply this answer by 2. Doing so, should give a final answer of 300.

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4 years ago
What is the range of the function y = x2? all real numbers x ≥ 0 y ≥ 0
masya89 [10]

Answer:

Step-by-step explanation:

Todos los reales

4 0
3 years ago
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