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2 years ago

what is the slope intercept form of the equation of the line described by (-4,-5), parallel to y=-2x -5

Mathematics

1 answer:

Eddi Din [679]2 years ago

7 0

Answer:

y = - 2x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x - 5 ← is in slope- intercept form

with m = - 2, thus

y = - 2x + c ← is the partial equation of the line

To find c substitute (- 4, - 5) into the partial equation

- 5 = 8 + c ⇒ c = - 5 - 8 = - 13

y = - 2x - 13 ← equation of line

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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

2 years ago

if an exterior angle of a triangle has a measure of 35 degrees, what is the measure of the adjacent interior angle?

Alona [7]

Answer:

145

Step-by-step explanation:

Adjacent interior angle = x

Sum of exterior angle and adjacent interior angle = 180

35 + x = 180

x = 180 - 35

x = 145

3 0

3 years ago

Read 2 more answers

There are 475 students and teachers going on a field trip a school bus holds 78 people how many buses are needed for the trip

kap26 [50]

7 is the answer, you have to divide 475 by 78 and you get 6.08974358974359 but you round it up to 7 to make sure you have enough buses

7 0

2 years ago

UJUU J

Stels [109]

Answer:

Plese read the complete procedure below:

Step-by-step explanation:

The polynomial is p(a) = (a^4 - 6a^3 + 3a^2 + 26a – 24)

1 -6 3 26 -24 | 1

1 -5 -2 24

1 -5 -2 24 0

The remainder is zero, then (a-1) is a factor of the polynomial

1 -6 3 26 -24 | 2

2 -8 10 72

1 -4 5 36 48

When p(a) is divided by (a-2) the remainder 28/p(a)

1 -6 3 26 -24 | - 4

-4 40 172 -792

1 -10 43 198 -816

When p(a) is divided by (a-2) the remainder -816/p(a)

c) I attached an image of the long division below:

3 0

3 years ago

The length of the minute hand of a clock is

svetlana [45]

Answer:

Therefore,

The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.

Step-by-step explanation:

Given:

The length of the minute hand of a clock is,

Which is as Radius,

Therefore,

Radius = r = length of the minute hand = 14\ inches

pi = 22/7

To Find:

The length of the path traced by the outer tip of the minute hand in one hour, will be One full rotation, that is

Circumference, C = ?

Solution:

Circumference, is given by,

$Circumference = 2\pi r$

$Circumference = 2\times \dfrac{22}{7}\times 14=88\ inches$

Therefore,

The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.

7 0

2 years ago