Solve – 4(x + 6) – 6 = 4(x

What is the slope intercept form of the equation of 6x+5y=-15

Soloha48 [4]

Slope intercept form is $\sf y=mx+b$ , where 'm' is the slope and 'b' is the y-intercept.

$\sf 6x+5y=-15$

Subtract 6x to both sides:

$\sf 5y=-6x-15$

Divide 5 to both sides:

$\boxed{\sf y=-\dfrac{6}{5}x-3}$

7 0

3 years ago

Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one

oksano4ka [1.4K]

Answer:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

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:

$X \sim Binom(n=7, p=1-0.09=0.91)$

The probability associated to a failure would be p =1-0.09 = 0.91

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:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

6 0

3 years ago

Your averages and values are the following:

ioda

Answer: You need a grade of 78 on the final exam to earn a final grade average of at least 87 in each grading system.

Step-by-step explanation:

(85 + 90 + 95 + x)÷ 4 =87

Simplify:

(270 + x) ÷ 4 = 87

Rearrange:

(x + 270) ÷ 4 = 87

Multiply terms to Reduce:

4((x + 270) ÷ 4) = 4 * 87

Cancel Multiplied terms in Denominator:

x + 270 = 4 * 87

Multiply:

x + 270 = 348

Subtract 270 on both sides of the equation:

x + 270 - 270 = 348 - 270

Simplify:

x = 78

6 0

2 years ago

What are line segments?

laiz [17]

Answer:

In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Create a sector that is one-sixth of the area of a circle with the same radius. Then, calculate each of the following:

Masja [62]

Answer:

h uff divino divino alguno divino sigues te ex el su correo su el el el do so

4 0

3 years ago

Solve – 4(x + 6) – 6 = 4(x – 1) for x