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3 years ago

How do i go about identifying the slope & y-intercept in y = -3/4 x -7?

Mathematics

1 answer:

choli [55]3 years ago

5 0

Y=mx+b the m is your slope. Here the slope would be -3/4. The b is your y-intercept which is -7.

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If f(x) = x - 2, what is f(7)?

Nata [24]

You plug 7 in for x
Therefore, f(7)=7-2=5
So f(7)=5

6 0

4 years ago

A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a

Likurg_2 [28]

Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

A real estate agent has 17 properties that she shows.

This means that $n = 17$

She feels that there is a 50% chance of selling any one property during a week.

This means that $p = 0.5$

Compute the probability of selling less than 3 properties in one week.

This is

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

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0$

$P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001$

$P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011$

0.0011 = 0.11% probability of selling less than 3 properties in one week.

5 0

3 years ago

For a circle with a radius of 6 feet, what is the measurement of the central angle (in degrees) that intercepts an arc

geniusboy [140]

Answer: The central angle measures 135 degrees

Step-by-step explanation: We have been given an arc with length 9pi/2 feet and a radius of 6 feet. The arc is shown in the attached diagram (please see attachment). The central angle subtended by this arc is at point O and has been labeled angle X.

So if the diagram shows arc AB with length 9pi/2 and radius AO with length 6, we can use the formula to compute “Length of an arc” to arrive at the missing angle.

Length of an arc = X/360 x 2pi x radius

Substituting for the known values, our formula can now be re-written as

9pi/2 = X/360 x 2pi x6

By cross multiplication we now have

9pi/2pi x 6 = 2X/360

We simplify as much as possible by dividing all like terms, hence pi divides pi on the left side of the equation. Also 2 divides 360 on the right side of the equation.We now arrive at,

9/12 = X/180

Simplify even further and we have

3/4 = X/180

By cross multiplication we now have

(3 x 180)/4 = X

540/4 = X

135 = X

Therefore the central angle that intercepts the arc measures 135 degrees.

6 0

4 years ago

A group of employees bought a get-well gift for a coworker. the gift cost $46.06. if there are 22 employees in the group, how mu

navik [9.2K]

2.09 because 46.06 divided by 22

8 0

3 years ago

Read 2 more answers

Trig help please!! Will give brainliest to correct answers only

BabaBlast [244]

I think the answer is 2,2 I’m not sure

7 0

4 years ago