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2 years ago

Writing an equation in slope-intercept form given

Mathematics

1 answer:

navik [9.2K]2 years ago

5 0

Answer:

y = -9x - 1

Step-by-step explanation:

Step 1:

y = 8, x = -1

By putting the above values in equation (i)

8 = -9 (-1) + b

8 = 9 + b

-1 = b

b = -1

y = -9x - 1

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3 years ago

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The surface area of a cone with radius r units and slant height s units is shown below:

Ganezh [65]

Surface area of a cone = π{rs+r²} =πr{s+r} part 1:if π is 6 units and s is 4 units then r would be 3.14 ×6 {4+6} part 2: area of a cone = 3.14 ×6×10 =31.4×6 = 188.4 units² the surface area = 188.4 units² hope i helped

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What is the value of X in the equation 2x+3y=36, when y=6?

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x = 9

Step-by-step explanation:

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3 years ago

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The Magazine Mass Marketing Company has received 1515 entries in its latest sweepstakes. They know that the probability of recei

wariber [46]

Answer:

$P(x < 5)=P(X=0)+P(X=1)+P(X=2)+P(x=3)+P(X=4)$

$P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305$

$P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000458$

$P(X=2)=(15C2)(0.5)^2 (1-0.5)^{15-2}=0.0032$

$P(X=3)=(15C3)(0.5)^3 (1-0.5)^{15-3}=0.0139$

$P(X=4)=(15C4)(0.5)^4 (1-0.5)^{15-4}=0.0417$

And adding we got:

$P(x < 5)=0.0592$

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:

$X \sim Binom(n=15, p=0.5)$

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:

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

And we want to find this probability:

$P(x < 5)=P(X=0)+P(X=1)+P(X=2)+P(x=3)+P(X=4)$

$P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305$

$P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000458$

$P(X=2)=(15C2)(0.5)^2 (1-0.5)^{15-2}=0.0032$

$P(X=3)=(15C3)(0.5)^3 (1-0.5)^{15-3}=0.0139$

$P(X=4)=(15C4)(0.5)^4 (1-0.5)^{15-4}=0.0417$

And adding we got:

$P(x < 5)=0.0592$

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3 years ago

The city zoo had an equal number of visitors on Saturday and sunday.in all, 32,096 people visited the zoo that weekend.how many

sladkih [1.3K]

Divide 32,096 by two days (2) to get 16,048 people per day visiting the zoo.

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3 years ago