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3 years ago

What is the slope? helpppp?

Mathematics

1 answer:

EleoNora [17]3 years ago

7 0

Answer:

slope: -(9/8)

y-intercept: 7

equation: y = -(9/8)x + 7

Step-by-step explanation:

Solve for the slope.

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (8 , -2)

(x₂ , y₂) = (0 , 7)

Plug in the corresponding numbers to the corresponding variables:

m = (7 - (-2))/(0 - 8)

m = (7 + 2)/(0 - 8)

m = 9/-8

Your slope is -(9/8)

Solve for the y-intercept. Plug in your slope into the slope intercept form:

y = mx + b

Let:

(x , y) = (0 , 7) & m = -(9/8)

Plug in the corresponding numbers to the corresponding variables:

7 = -(9/8)(0) + b

Simplify:

7 = (-9/8 * 0) + b

7 = (0) + b

b = 7

Your y-intercept is 7.

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Assume that when adults with smartphones are randomly selected, 51% use them in meetings or classes. If 7 adult smartphone use

Morgarella [4.7K]

Answer:

$P(X \geq 3) = 1-P(X$

If we find the individual probabilities we gotL

$P(X=0)=(7C0)(0.51)^0 (1-0.51)^{7-0}=0.0068$

$P(X=1)=(7C1)(0.51)^1 (1-0.51)^{7-1}=0.0494$

$P(X=2)=(7C2)(0.51)^2 (1-0.51)^{7-2}=0.1543$

And replacing we got:

$P(X \geq 3) = 1- [0.0068 +0.0494 +0.1543]= 0.7895$

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:

$X \sim Binom(n=7, p=0.51)$

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:

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

For this case we want to find this probability:

$P(X \geq 3)$

And we can use the complement rule for this case:

$P(X \geq 3) = 1-P(X$

If we find the individual probabilities we gotL

$P(X=0)=(7C0)(0.51)^0 (1-0.51)^{7-0}=0.0068$

$P(X=1)=(7C1)(0.51)^1 (1-0.51)^{7-1}=0.0494$

$P(X=2)=(7C2)(0.51)^2 (1-0.51)^{7-2}=0.1543$

And replacing we got:

$P(X \geq 3) = 1- [0.0068 +0.0494 +0.1543]= 0.7895$

7 0

3 years ago

Solve for x. x/2_>-4

dexar [7]

X_>-2*4

x_>-8

Answer: x> -8

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4 years ago

You are filling a 5-L fish tank using a 250-mL container. How many full containers are required to fill the fish tank?

konstantin123 [22]

Answer:

D.20

Step-by-step explanation:

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3 years ago

What is the effect on the graph of f(2) g(2) =} - 1? 1 when it is transformed to g(x)=1/x -7

777dan777 [17]

The effect on the graph of f(x)= 1/x when it is transformed to g(x)= 1/x-7 is C. The graph of f(x) is shifted 7 units down.

<h3>What is a graph?</h3>

A graph is a diagram showing the relation between variable quantities, each measured along with one of a pair of axes at right angles.

In this case, the effect on the graph of f(x)= 1/x when it is transformed to g(x)= 1/x-7 is that the graph of f(x) is shifted 7 units down.

The missing options include:

A. The graph of f(x) is shifted 7 units up

B. The graph of f(x) is shifted 7 units to the left

C. The graph of f(x) is shifted 7 units down

D. The graph of f(x) is shifted 7 units to the right.

Learn more about graph on:

brainly.com/question/19040584

#SPJ1

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2 years ago

An artist creates an abstract sculpture that appears as a box perched on top of a post the box is in the shape of a cube with ed

jeyben [28]

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3 years ago