What’s the slope and y intercept of (3,4) and (0,-3)

PLEASE ANSWER FAST What is the average of the following two numbers? 5.67 x 10^-21 and 7.24 x 10^-19

adell [148]

Answer: The average of two numbers is $3.64835\times 10^{-19}$ .

Explanation:

The first term is,

$5.67\times10^{-21}$

The second term is,

$7.24\times10^{-19}$

Average formula is,

$Average=\frac{\text{Sum of observations}}{\text{Number of observations}}$

$Average=\frac{5.67\times10^{-21}+7.24\times10^{-19}}{2}$

$Average=\frac{5.67\times 10^{-2}\times10^{-19}+7.24\times10^{-19}}{2}$

$Average=\frac{0.0567\times10^{-19}+7.24\times10^{-19}}{2}$

$Average=\frac{(0.0567+7.24)\times10^{-19}}{2}$

$Average=\frac{(7.2967)\times10^{-19}}{2}$

$Average=3.64835\times10^{-19}$

Therefore, the average of two numbers is $3.64835\times 10^{-19}$ .

4 0

3 years ago

If someone flips switches on the selection in a completely random fashion, what is the probability that the system selected cont

DiKsa [7]

Given that a display allows a customer to hook together any selection of components, one of each type. These are the types:
Receiver: Kenwood, Onkyo, Pioneer, Sony, Sherwood
CD player: Onkyo, Pioneer, Sony, Technics
Speakers: Boston, Infinity, Polk
Cassette: Onkyo, Sony, Teac, Technics:

Part (a):
In how many ways can one component of each type be selected?

The number of ways one type of receiver will be selected is given by 5C1 = 5
The number of ways one type of CD player will be selected is given by 4C1 = 4
The number of ways one type of speakers will be selected is given by 3C1 = 3
The number of ways one type of cassette will be selected is given by 4C1 = 4

Therefore, the number of ways one component of each type can be selected is given by 5 x 4 x 3 x 4 = 240 ways

Part (b):
In how many ways can components be selected if both the receiver and the compact disc player are to be Sony?

The number of ways of selecting a Sony receiver is 1
The number of ways of selecting a Sony CD player is 1
The number of ways one type of speakers will be selected is given by 3C1 = 3
The number of ways one type of cassette will be selected is given by 4C1 = 4

Therefore, the number of ways components can be selected if both the receiver and the compact disc player are to be Sony is given by 1 x 1 x 3 x 4 = 12

Part (c)
In how many ways can components be selected if none of them are Sony?

The number of ways one type of receiver that is not Sony will be selected is given by 4C1 = 4
The number of ways one type of CD player that is not Sony will be selected is given by 3C1 = 3
The number of ways one type of speakers that is not Sony will be selected is given by 3C1 = 3
The number of ways one type of cassette that is not Sony will be selected is given by 3C1 = 3

Therefore, the number of ways that components can be selected if none of them are Sony is given by 4 x 3 x 3 x 3 = 108

Part (d):
In how many ways can a selection be made if at least one Sony component is to be included?

The total number of ways of selecting one component of each type is 240
The number of ways that components can be selected if none of them are Sony is 108

Therefore, the number of ways of selecting at least one Sony component is given by 240 - 108 = 132

Part (e):
If someone flips switches on the selection in a completely random fashion, what is the probability that the system selected contains at least one Sony component?

The total number of ways of selecting one component of each type is 240
The number of ways of selecting at least one Sony component is 132

Therefore, the probability that a system selected at random contains at least one Sony component is given by 132 / 240 = 0.55

Part (f):
If someone flips switches on the selection in a completely random fashion, what is the probability that the system selected contains exactly one Sony component? (Round your answer to three decimal places.)

The number of ways of selecting only a Sony receiver is given by 1 x 3 x 3 x 3 = 27
The number of ways of selecting only a Sony CD player is given by 4 x 1 x 3 x 3 = 36
The number of ways of selecting only a Sony cassette is given by 4 x 3 x 3 x 1 = 36

Thus, the number of ways of selecting exactly one Sony component is given by 27 + 36 + 36 = 99

Therefore, the probability that a system selected at random contains exactly one Sony component is given by 99 / 240 = 0.413

5 0

4 years ago

9 stores is 3% of how many stores?

hichkok12 [17]

Hello there! We can solve this question by writing and solving a proportion. Set it up like this:

9/x = 3/100.

This is because 9 is 3% of x number of stores and percents are parts of 100. Setting it up like this will help us get the correct answer. Cross multiply the values . 9 * 100 is 900 and 3 * x = 3x. You get 900 = 3x. Now, divide each side by 3 to isolate the x. 3x/3 cancels out the x. 900/3 is 300. There. x = 300. 9 stores is 3% of 300 stores.

3 0

4 years ago

Read 2 more answers

I need help finding the solution

Ilya [14]

<h3>Answer: 226 degrees</h3>

=====================================================

Explanation:

Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure

arc DC = arc CB

12x+7 = 18x-23

12x-18x = -23-7

-6x = -30

x = -30/(-6)

x = 5

---------------------

Use this x value to find the measure of arcs DC and CB

arc DC = 12x+7 = 12*5+7 = 67
arc CB = 18x-23 = 18*5-23 = 67

We get the same measure for each, which helps confirm we have the correct x value.

The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer

arc DAB = 360-(arc DCB) = 360-134 = 226 degrees

I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.

7 0

3 years ago

What point represents the center of a circle whose equation is (x-3)^2+(y-6)^2=64

Ksenya-84 [330]

The equation of a circle is (x - h)² + (y - k)² = radius² where point (h, k) is the center.

So using your equation, your center is (3, 6)

3 0

3 years ago