MATHEMATICS HIGH SCHOOL

The times it took for 35 loggerhead sea turtle eggs to hatch in a simple random sample are normally distributed, with a mean of 50 days and a standard deviation of 2 days. Assuming a 95% confidence level, what is the margin of error for the population mean? A) 0.06. B) 0.11. C) 0.34. D) 0.66

Answers

Answer 1
Answer: The margin of error for the population mean is C) 0.34. Hope that helps.
Answer 2
Answer:

Answer:from what I did it was 0.66

Step-by-step explanation:

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A car moves at speed v across a bridge made in the shape of a circular arc of radius r. (a) Find an expression for the normal force n acting on the car when it is at the top of the arc. (Use any variable or symbol stated above along with the following as necessary: m and g.) n

Answers

Answer:

n=m(g-(v^(2))/(r))

Step-by-step explanation:

If a car is moving across a circular bridge, made in the shape of a circular arc then the force that balances the car when it is on the top of arc will be

n + F = mg

Where n = normal force acting on the car

F = centripetal force

m = mass of the car

We know centripetal force  F=(mv^(2))/(r)

where m = mass of the car

v = velocity of the car on the top of the arc

r = radius of the arc

Therefore, the expression for the normal force 'n' will be

n+(mv^(2))/(r)=mg

n=mg-(mv^(2))/(r)

n=m(g-(v^(2))/(r))

At the space center, Karen bought a model of a shuttle. She started working on the model the next day at 11:13 A.M. She worked until leaving for lunch at 11:54 A.M. After lunch, she worked on the model again from 1:29 P.M. Until 1:46 P.M. How long did Karen work on the model? Karen worked on the model for minutes.

Answers

Answer:

58 minutes.

Step-by-step explanation:

From the question, Karen worked on the model in two windows;

1) 11.13 AM - 11.54 AM = 41 minutes

2) 1.29 PM - 1.46 PM = 17 minutes.

Hence, the total amount of time Karen spent working on the Shuttle model is:

41minutes + 17minutes = 58 minutes.

What are the solutions of the equation below
(x-2)(x+9)=0

Answers

Answer: {2, -9}

Step-by-step explanation: Think of these two binomials, x -2 and x + 9,

as two numbers that are multiplying together to equal zero.

In order for two numbers to multiply together to equal zero,

either one number or the other number must equal zero.

So for two binomials to multiply together to equal zero,

either one binomial or the other binomial must equal zero.

So we can split this problem up into two parts.

If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.

On the left, add 2 to both sides and we have x = 2.

On the right, subtract 9 from both sides and we have x = -9.

For our final answer we use set notation.

So our answer is {2, -9}.

Answer:

2 and -9

Step-by-step explanation:

x-2=0

x=2

x+9=0

x=-9

a triangle has one angle that measures 15 degrees and one angle that measures 44 degrees and one angle that measures 121 degrees what kind of triangle is it?​

Answers

Answer:

Obtuse because one angle is over 90 degrees
obtuse because one of the angles is greater than 90 degrees

Pls help me pls help me​

Answers

Answer:

166.32

Step-by-step explanation:

brainliest please

Answer:

166.32

Step-by-step explanation:

Remember, the product is the answer to a multiplication problem.

6.93 times 24= 166.32

Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equation mc025-1. Jpg represents the situation, where t is the age of the car in years and r is the rate of depreciation. About how old is Devon’s car? Use a calculator and round your answer to the nearest whole number. 1 year 2 years 5 years 8 years.

Answers

The age of the car that Devon purchased is given by: Option C: 5 years

How to calculate compound interest's amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

CI = P(1 +(R)/(100))^T - P

The final amount becomes:

A = CI + P\nA = P(1 +(R)/(100))^T

We can use compound interest's formula (with a bit modification if necessary) whenever there is compounding on a base amount on some fixed rate for some time.

For this case, there is decrement happening, so rate can be taken negative. Thus, we take:

R = -35%

Let the car is T years old.

Then, as we have: Initial price of the car = P = $16000, and the final price of the car = A = $2000, thus, we get:

A = P(1 +(R)/(100))^T\n\n2000 = 16000(1 + (-35/100) )^T\n1/8 = (1-0.35)^T\n0.125 = 0.65^T\n\nT = log_(0.65)(0.125)\nT \approx 4.827 \approx 5 \text{ (in years) }

Thus, the age of the car that Devon purchased is given by: Option C: 5 years

Learn more about compound interest here:

brainly.com/question/11897800

Answer:

C 5 years

Step-by-step explanation:
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