MATHEMATICS COLLEGE

A hot air balloon rose from ground level to 1000 feet in order to pass over a mountain. The balloon then descended 800 feet to a cruising height.A number line going from negative 1000 to positive 1000 in increments of 100. The line has points negative 1000, blank, A, blank, blank, negative 500, blank, blank, B, blank, 0, blank, C, blank, blank, 500, blank, blank, D, blank, 1000.

Which point is a representation of cruising height in feet?
Point A
Point B
Point C
Point D

Answers

Answer 1

Answer:

Answer:

Point C.

Step-by-step explanation:

Hope this helps!

Answer 2

Answer:

Answer:

Step-by-step explanation:

hope i helped hehe :)

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Express the following in exponential notation:
(-13) X (-13).
35 times

Answers

Answer:

$(-13) * (-13) = (-13)^(2)$

$35 * 35 = 35^(2)$

Step-by-step explanation:

Given

$(-13) * (-13)$

Required

Express as an exponential notation

$(-13) * (-13)$

Apply the following law of indices

$x^a * x^b = x^(a+b)$

This gives:

$(-13) * (-13) = (-13)^(1+1)$

$(-13) * (-13) = (-13)^(2)$

The second complete is incomplete; However, I'll assume it is: 35 times 35

$35 * 35$

Using the same law applied in (1) above:

$35 * 35 = 35^(1+1)$

$35 * 35 = 35^(2)$

What is r in the problem d=2r

Answers

Answer:

radius

Step-by-step explanation:

Answer:

I'm not sure what you mean by "make the subject."

I can only guess that you'd like to solve this equation for r, which might be what you're looking for.

By "solve this equation for r," what I mean is to rewrite it in the form "r = [some expression]."

This is also known as "isolating." By performing operations on both sides of the equation the task is achieved.

Step-by-step explanation:

In your example we could begin by dividing both sides by 2, as demonstrated below.

d = 2r

d / 2 = (2r) / 2

d / 2 = r or reversing the equality

r = d / 2.

That didn't require many operations, but the idea is the same for more complicated equations.

Hope this helps.

The Westwood Warriors basketball team wants to score more points. To get better at scoring points the team is trying to improve its offensive strategies. Some opponents primarily use a zone defense, while others primarily use a man-to-man defense. When the Warriors play against teams that use a zone defense they score an average of 67 points per game with a standard deviation of 8 points per game. When they used a new offensive strategy against this defense, they scored 77 points. What is the Z-score of this value

Answers

Answer:

It is better for the warriors to use man-to-man defense.

Step-by-step explanation:

The complete question is: The Westwood Warriors basketball team wants to score more points. To get better at scoring points the team is trying to improve its offensive strategies. Some opponents primarily use a zone defense, while others primarily use a man-to-man defense. When the Warriors play against teams that use a zonedefense they score an average of 67 points per game with a standard deviation of 8 points per game. When they play against teams that use a man-to-man defense they score an average of 62 points per game with a standard deviation of 5 points per game.

Since the Warriors started using their improved offensive strategies they have played two games with the following results.

Against the McNeil Mavericks

Maverick defense: zone

Warrior points: 77

Against the Round Rock Dragons

Dragon defense: man-to-man

Warrior points: 71

What is the Z-score of these values?

We are given that when the Warriors play against teams that use a zonedefense they score an average of 67 points per game with a standard deviation of 8 points per game. When they play against teams that use a man-to-man defense they score an average of 62 points per game with a standard deviation of 5 points per game.

We have to find the z-scores.

Finding the z-score for the zone defense;

Let X = points score by warriors when they use zone defense

The z-score probability distribution for the normal distribution is given by;

Z = $(X-\mu)/(\sigma)$ ~ N(0,1)

where, $\mu$ = mean score = 67 points

$\sigma$ = standard deviation = 8 points

It is stated that the Warriors scored 77 points when they used zone defense, so;

z-score for 77 = $(X-\mu)/(\sigma)$

= $(77-67)/(8)$ = 1.25

Finding the z-score for the zone defense;

Let X = points score by warriors when they use man-to-man defense

The z-score probability distribution for the normal distribution is given by;

Z = $(X-\mu)/(\sigma)$ ~ N(0,1)

where, $\mu$ = mean score = 62 points

$\sigma$ = standard deviation = 5 points

It is stated that the Warriors scored 71 points when they used man-to-man defense, so;

z-score for 71 = $(X-\mu)/(\sigma)$

= $(71-62)/(5)$ = 1.8

So, it is better for the warriors to use man-to-man defense.

5.
X
1 1 2 2 3 3 4
FX) -1 3 4 0 5 1 6
Label:
Explanation:

Answers

Answer:

Not a function

Step-by-step explanation:

Each input can have only have one output.

x(1) can't equal both -1 and 3 at the same time.

x(2) can't equal both 4 and 0 at the same time.

x(3) can't equal both 5 and 1 at the same time.

In other words there can't be multiple X's equalling different things.

julie will build a rectangular pen for her dog against a barn. A wall from the barn will from one side of the pen. She has 32m of fencing to form the other three sides. She plans to build the pen so that it has its maximum possible area. What will be the dimensions of julie's pen?

Answers

The answer is 8 m by 16 m. I just answered this on my quiz.

the answer is 8 and 16

In the drawing, what is the measurment of angle y?

Answers

According to the vertical angle rule we know that x is 40 degrees. The sum of all angles in a triangle make 180, so the sum of x, 60, and the third angle is 180. x is 40 so the third angle is 180-60-40 which is 80 degrees. y is an adjacent angle, which means that the sum of y and 80 degrees is 180. 180-80 is 100, so y is 100 degrees.

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Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise. Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.) (a) 1 + 2 + 3 + 4 + . . . + 397 + 398 + 399 + 400 (b) 1 + 2 + 3 + 4 + . . . + 542 + 543 + 544 + 545 (c) 2 + 4 + 6 + 8 + . . . + 72 + 74 + 76 + 78

What is negative 2/3 + 4/6

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