MATHEMATICS COLLEGE

8. John is looking for a job after graduation. The salary which he is satisfied with must be$3000 with a tolerance of $500. Choose the salary John would accept.
A $3.478
B. $3.792
C. $2,489
D. $2,256

Answers

Answer 1
Answer:

Answer:

A

Step-by-step explanation:

Becuase he wanted more then 3000
Answer 2
Answer: The answer is A I took the test :)

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99 POINT PROJECT -- ACTUALLY DO IT, DONT TELL ME HOW! 99 POINTS.Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.

Complete the following. Show all work for calculations.

List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Describe the shape of the cross section when the box is cut parallel to the base.

What is the surface area of the box?

What is the surface area of the box if it is scaled up by a factor of 10?

What is the volume of the box?

What is the volume of the box if it is scaled down by a factor of 1/10?

Answers

Final Answers are in "Shaded box"

Hope this helps!

Answer:

Rectangular prism

I chose a box of cereal.

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

 Describe the shape of the cross-section when the box is cut parallel to the base.

The shape of the cross-section would be a rectangle in dimensions.

20 cm x 8 cm

Part 3)

What is the surface area of the box? 

surface area=2*area of the base + perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box =[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5) 

What is the volume of the box?

volume of the box = L*W*H 20*8*32-5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6) 

What is the volume of the box if it is scaled down by a factor of 1/10?

we know that

the volume of the smaller box =[scale factor]³volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box =[1/10]³*5,120 5.12 cm³

the answer part 6) is

5.12 cm³

The length is 6 in., the width is 2 in., and the height is 16 in.

18% of the cars in the parking lot are blue.If there are 150 cars in the parking lot,how many cars are blue

Answers

Answer:

Step-by-step explanation:

14

Find the value of a. Then find the angle measures of the quadrilateral.

Answers

Answer:

a = 60

Step-by-step explanation:

Since it is a quadrilateral, the sum of interior angles is equal to 360°. Now you have to create an equation to solve this question. To create an equation, you have to add all the interior angles to 360°.

The equation would be 2a°+a°+a°+2a° = 360°.

Then you would simplify it to 6a° = 360.

You would divide 6 on both sides to get to a° = 60.

Therefore, the value of a is 60.

Hope this helped! If not, please let me know! <3
A=60 hope this helps you

Which inequality represents the situation: The cost, c is more than $6

Answers

Answer: C > $6

Step-by-step explanation:

C is greater than (but not equal to) $6

C > $6

Suppose that an experiment has five possible outcomes, which are denoted {1,2,3,4,5}. Let A be the event {1,3,4} and let B be the event {2,4,5}. (Notice that we did not say that the five outcomes are equally likely: the probability distributions could be anything.) For each of the following relations, tell whether it could possibly hold. If it could, give a numerical example using a probability distribution of your own choice: if it could not, explain why not (what rule is violated)a. P(A) = P(B)
b. P(A) = 2P(B)
c. P(A) = 1 - P(B)
d. P(A) + P(B) > 1
e. P(A) - P(B) < 0
f. P(A) - P(B) > 1

Answers

Answer:

a. P(A) = P(B)

c. P(A) = 1 - P(B)

a and c are true . The rest are false.

Step-by-step explanation:

Two events A and B are said to be equally likely when one event is as likely to occur as the other. In other words each event should occur in equal number in repeated trials. For example when a fair coin is tossed the head is likely to appear as the tail, and the proportion of times each side is expected to appear is 1/2.

So when the events A= {1,3,4} B = {2,4,5} are equally likely then suppose their probability is 1/2.

a. P(A) = P(B)   True

1/2= 1/2

b. P(A) = 2P(B)  False

1/2 is not equal to 1

c. P(A) = 1 - P(B)  True

1/2= 1-1/2= 1/2

d. P(A) + P(B) > 1   False

1/2 + 1/2 is not greater than 1

e. P(A) - P(B) < 0   False

1/2-1/2= 0  is not less than 0

f. P(A) - P(B) > 1   False

1/2-1/2= 0 is not greater than 1

Final answer:

The relationships between the probabilities are evaluated and explained.

Explanation:

a. P(A) = P(B) could possibly hold if P(A) = 1/3 and P(B) = 1/3.

b. P(A) = 2P(B) could not hold, as probabilities cannot exceed 1.

c. P(A) = 1 - P(B) could possibly hold if P(A) = 2/3 and P(B) = 1/3.

d. P(A) + P(B) > 1 could possibly hold if P(A) = 1/3 and P(B) = 1/2.

e. P(A) - P(B) < 0 could not hold, as the difference between probabilities cannot be negative.

f. P(A) - P(B) > 1 could not hold, as the difference between probabilities cannot exceed 1.

Learn more about Probability here:

brainly.com/question/22962752

#SPJ3

A men and a women decided to meet at a certain location. If each of them independently arrives at a time uniformly between 12pm and 1pm, find the probability that the first to arrive has to wait longer than 10 mins?

Answers

Answer:

the probability that the first to arrive has to wait longer than 10 mins is 35/36.

Step-by-step explanation:

First you need to denote by X and Y the time past 12 noon that the man and woman arrive.

Then you have to compute P(X+10<Y)+P(Y+10<X), which by symmetry equals 2P(X+10<Y).

So basically you have to compute P(X+10<Y).

check the attachment for the rest of the step by step.

Answer should be 25/72

But since we want 2× of the above probability 2× 25/72 = 25/36finalanswer.

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