MATHEMATICS HIGH SCHOOL

A sample of 40 batteries is taken from a case of 400. Thirty-seven of the batteries in the sample are good, and three are defective. Let p= the probability that a battery case is still good. Which of the following is NOT a possible value for p?A. 0.5
B. 0.75
C. 0.9
D. 0.925
E. 1

Answers

Answer 1
Answer: The answer is option E i.e., 1 because we know that there are 3 defective batteries in the case so the probability will never be 1 for this case.

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An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number.

Answers

Answer: 8 years

Step-by-step explanation:

8 years

8 years

8 years

8 years

8 years

8 years

Part A: If (72)x = 1, what is the value of x? Explain your answer. (5 points)Part B: If (70)x = 1, what are the possible values of x? Explain your answer. (5 points)

Answers

Answer:

see step by step explanation

Step-by-step explanation:

part a: x=1/72  because there are 72 x's in the one so 1/72

part b: x=1/70 because there are 70 x in 1 so x = 1/70

Answer:

(7^2)^0

Step-by-step explanation:

The Zero rule property states that anytime you multiple an exponent by 0 it always equals 1. So, if you multiply the equation by 0 it will equal one.

Adam can shovel a driveway in two hours. Bev can shovel the same driveway in three hours. How long would it take them working together

Answers

Answer:

1.2 hours

Step-by-step explanation:

Given the following :

Time taken by Adam to shovel driveway = 2 hours

Time taken by BEV to shovel highway = 3 hours

How long will it take them working together

Hence Adam's rate of shoveling per hour :

Reciprocal of time taken = 1/2 per hour

BEV's rate will also be ;

1/ 3 per hour

If both work together ; that is combining the rate :

1/2 + 1/3 = (3 + 2) = 5/6

Combined rate = 5/6

Total fraction of shoveled area = 1:

Time taken = area / rate

= 1 ÷ (5/6)

= 1 × (6 / 5)

= 6/5

= 1 1/5 hours = 1.2 hours

Which equation could be used to solve y 2+7y=18 by factoring?

Answers

For this case we have the following equation:


y ^ 2 + 7y = 18

Rewriting the equation we have:


y ^ 2 + 7y-18 = 0

Then, we must factor the equation:


We are looking for two numbers that are equal to 7 and multiplied equal to -18.


We have then:


(y + 9) (y-2) = 0

Answer:


An equation that could be used to solve y^2 + 7y = 18 by factoring is:


(y + 9) (y-2) = 0
 (y + 9)(y - 2) = 0  would be the correct answer .

Which of the following choice is the same as the quotient of a number and itself?. . 0. . .
1. . .
Half of the number. . .
The difference of the number and itself

Answers

Quotient of a number and itself is 1.
Quotient of a number and itself:
x : x = 1
Answer: B ) 1

Cynthia is standing at the center of a circular playground. Which statement is true with respect to Cynthia’s position?. . a.The distance from pole 1 to pole 3 is equal to the distance from Cynthia to pole 1.. . b.The distance from pole 1 to pole 3 is equal to the distance from pole 3 to pole 2.. . c.The distance from Cynthia to pole 3 is equal to the distance from pole 3 to pole 2.. . d.The distance from Cynthia to pole 3 is equal to the distance from Cynthia to pole 1.

Answers

Cynthia is standing at the center of a circular playground. Which statement is true with respect to Cynthia’s position?

Answer: Out of all the options shown above the one that best represents the statement that is true with respect to Cynthia’s position is answer choice D) The distance from Cynthia to pole 3 is equal to the distance from Cynthia to pole 1. The reason being that it is the same as the radius of a circle. If you picture in your mind this analogy you will understand.

I hope it helps, Regards.
The statement that is true with respect to cynthia's position if she is standing at the center of a circular playground would be : 
D. The distance from cynthia to pole w is equal to the distance from Cynthia to pole 1
They have similar radius count

hope this helps
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