What is the circumference of circle p?
Express your answer in terms of pi.

Answer:

Step-by-step explanation:

Given that a popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags have an average weight of 1,040 grams with a standard deviation of 25 grams.

i.e. Sample mean = 1040 and

Sample std dev s = 25 gm

Sample size n = 100

Hence by central limit theorem we have the sample mean follows a normal distribution with mean =1040 and std dev = s = 25 gm

Normal curve would be with mean 1040 and std deviatin 25

b) P(X>1115)

= 1-0.9987

=0.0013

i.e. 0.13% would receive a bag that had a weight greater than 1115 grams

A graph which represents this relationship between the temperature of a substance and time is shown in image.

What is a graph?

In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).

In Science, temperature can be defined as a measure of either the degree of hotness or coldness of a physical body (object).

Since, the temperature of a chemical substance increased at a constant rate of three degrees Celsius (3°C) per hour, a graph which represent the relationship that exist between the temperature of a substance and time is shown in the image attached below.

Learn more about graphs visit:

brainly.com/question/4546414

#SPJ3

see attachment for the answer to the problem.

Answer:

+13

Step-by-step explanation:

-4-9 gives -13

when +13 is added to -13 , the expression becomes +13+(-13) =13-13=0

Answer:  x = 21

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

Explanation:

The exponent rules are

• a^b * a^c = a^(b+c) .... lets call this rule 1
• (a^b)/(a^c) = a^(b-c) .... lets call this rule 2
• (a^b)^c = a^(b*c) ......... lets call this rule 3

The expression on the right hand side simplifies to c^(-1). We add the exponents to get this. So we're using rule 1 mentioned above.

We'll keep this in mind for later.

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On the left hand side (c^5)^4 becomes c^(20) because we multiply the exponents (rule 3)

Then (c^20)/(c^x) becomes c^(20-x). We subtract exponents here (rule 2).

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After using those exponent rules, the original equation turns into

c^(20-x) = c^(-1)

The bases are both c, so the exponents must be equal

20-x = -1

-x = -1-20

-x = -21

x = 21

Answer: (0, 6)

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Question is −9x + 3y = 18

Our first step would be is to find y which will be done by 3y = 18.

Part 1

Step 1: Enter y equation.

3y = 18

Step 2:Simplify.

y = 6

Now that we have our y, we need to find our X. We can do this by plugging in y, which is 6 into the equation to find X.

Part 2

Step 1: Enter the X equation by plugging in y.

−9x + 3(6) + 18

Step 2:Simplify.

−9x + 18 = 18

Step 3:Simplify.

−9x = 18 − 18

Step 4:Simplify.

Step 5: Simplify.

x = 0

Because 0 is our X coordinate and 6 is our Y coordinate, we will need to have the X and Y coordinates in parentheses, So (x, y) would be (0, 6). And there you go we have the answer. Good luck!

~I hope I helped you! :)~

Answer:

60 points.

Step-by-step explanation:

Bar diagram which represents the ratio of the points earned by the home team and visitor's team.

Fro the bar diagram,

Ratio of the points earned =

                                            =

If the points earned by the home team = 84

=

=

Points earned by the visitor's team =

                                                          = 60

Therefore, 60 points were earned by the visitor's team.