MATHEMATICS COLLEGE

Suppose that, from measurements in a microscope, you determine that a certain layer of graphene covers an area of 1.60μm2. Convert this to square meters.

Answers

Answer 1
Answer:

Answer:

  1.60×10^-12 m^2

Step-by-step explanation:

The prefix μ stands for "micro-", which means 10^-6. So, 1 micro-meter is ...

  1 μm = 10^-6 m

A square micrometer is then ...

  (1 μm)^2 = (10^-6 m)^2 = 10^-12 m^2

1.6 of them is ...

  1.6 μm^2 = 1.6×10^-12 m^2

Related Questions

The U.S. Department of Agriculture guarantees dairy producers that they will receive at least $1.00 per pound of butter they supply to the market. Below is the current monthly demand and supply schedule for wholesale butter (in millions of pounds per month). Wholesale Butter Market Price (dollars per pound) Quantity of Butter Demanded Quantity of Butter Supplied (millions of pounds) (millions of pounds) $0.80 107 63 0.90 104 71 1.00 101 79 1.10 98 87 1.20 95 95 1.30 92 103 1.40 89 111 1.50 86 119 1.60 83 127 1.70 80 135 1.80 77 143 a. In the butter market, the monthly equilibrium quantity is million pounds and the equilibrium price is $ per pound. b. What is the monthly surplus created in the wholesale butter market due to the price support (price floor) program? 22 million pounds 79 million pounds Zero 11 million pounds Suppose that a decrease in the cost of feeding cows shifts the supply schedule to the right by 40 million pounds at every price.
If b^2=a then b is what of a?
Z=15+2(x+y) solve for x
1. Which fraction has a value that's equal to 7/8​
Find the distance between the points.(1, 6, 3), (-5, 3, 7)

Two numbers, if the first one increases by 1, and the second one decreases by 1, then their product increases by 2020. If the first number decreases by 1, and the second one increases by 1, what value does the product decrease?

Answers

Answer:

The product decreases 2022.

Step-by-step explanation:

(x + 1)(y - 1) = xy + 2020

xy - x + y - 1 = xy + 2020

-x + y = 2021

(x - 1)(y + 1) = xy + x - y - 1

  + 2021   =       -x + y

----------------------------------

(x - 1)(y + 1) + 2021 = xy - 1

(x - 1)(y + 1) = xy - 2022

The product decreases 2022.

One question in the survey asked how much time per year the children spent in volunteer activities. The sample mean was 14.76 hours and the sample standard deviation was 16.54 hours.Required:

a. Based on the reported sample mean and sample standard deviation, explain why it is not reasonable to think that the distribution of volunteer times for the population of South Korean middle school students is approximately normal.
b. The sample size was not given in the paper, but the sample size was described as large. Suppose that the sample size was 500. Explain why it is reasonable to use a one-sample t confidence interval to estimate the population mean even though the population distribution is not approximately normal.
c. Calculate and interpret a confidence interval for the mean number of hours spent in volunteer activities per year for South Korean middle school children.

Answers

Answer:

a. If the distribution was normal, many values would be negative, what is incompatible with the response variable (hours dedicated to volunteer activities).

b. If the sample is big, accordingly to the Central Limit Theorem, the sampling distribution shape tends to be normally-like, so we can apply a one-sample t-test.

c. The 95% confidence interval for the mean is (13.307, 16.213).

Step-by-step explanation:

a. If the distribution was normal, the values with one or more standard deviation below the mean would be negative, what is incoherent for this case. This, in a normal distribution, represents approximately 16% of the values.

If we calculate the probabilty for a normal distribution with the sample parameters, the probability of having "negative hours" is 18.6% (see picture attached).

b. If the sample is big, accordingly to the Central Limit Theorem, the sampling distribution shape tends to be normally-like, so we can apply a one-sample t-test.

The sampling distribution standard deviation is also reduced by a factor of 1/√n.

c. We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=14.76.

The sample size is N=500.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=(s)/(√(N))=(16.54)/(√(500))=(16.54)/(22.3607)=0.7397

The t-value for a 95% confidence interval is t=1.965.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=1.965 \cdot 0.7397=1.453

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 14.76-1.453=13.307\n\nUL=M+t \cdot s_M = 14.76+1.453=16.213

The 95% confidence interval for the mean is (13.307, 16.213).

The short answer please

Answers

Answer:

4) 1

5) 13/0, ND

6) -4

7) 5/3

8) 0

9) -1/7

all ans r correct....

pls vote n rate if u found it useful ....

What is (1/3) x (-2/3 )?

Answers

Answer:

-0.2222

Step-by-step explanation:

If its multiple choice choose an answer close to this. Or don't I can't tell what to do.

Answer: -2/9

Decimal form: -0.2

Step-by-step explanation:

Can someone explain how to solve this I'm really confused

1/2 to the power of 3

Answers

Answer:

1/8

Step-by-step explanation:

1/2 cubed is just 1/2*1/2*1/2 which is 1/8

Answer:

1  / 8 Fraction  0.125 decimal

Step-by-step explanation:

PLEASE HELP ASSIGNMENT DUE TODAY NEED TO PASS 1)
You have 2 lines. The first goes through points (6, 2) and (4, 6). The second goes through points (5,-1) and (1, 1). These lines are:

A) perpendicular

B) parallel

C) horizontal and vertical

D) none of the above

2) You have 2 lines. The first goes through points (7, 0) and (4, 6). The second goes through points (1, 1) and (5,3). These lines are:

A) perpendicular

B) parallel

C) horizontal and vertical

D) none of the above

Answers

Answer:

1. D

2. A

Step-by-step explanation:

To determine the type of line, find the slope.

  • Slopes which are the same are parallel
  • Slopes which are negative reciprocals are perpendicular
  • Slopes which are undefined (0 in the denominator) are horizontal.
  • Slopes which are 0 are vertical.

1. Find the difference in y values over the difference in x values. Calculate the slope using the formula:

(y_2-y_1)/(x_2-x_1) = (6-2)/(4-6)=(4)/(-2)=-2

(y_2-y_1)/(x_2-x_1) = (1--1)/(1-5)=(2)/(-4)=(-1)/(2)

These are reciprocals of each but not the negative or opposite signs of each other. This is none.

2. Find the difference in y values over the difference in x values. Calculate the slope using the formula:

(y_2-y_1)/(x_2-x_1) = (6-0)/(4-7)=(6)/(-3)=-2

(y_2-y_1)/(x_2-x_1) = (3-1)/(5-1)=(2)/(4)=(1)/(2)

These are reciprocals of each and the negative or opposite signs of each other. These are perpendicular.
Other Questions
A fatigue test was conducted in which the mean stress was 70 MPa, and the stress amplitude was 210 MPa. (a) Compute the maximum and minimum stress levels. (b) Compute the stress ratio. (c) Compute the magnitude of the stress range
Please help with this Calculus problem!!!!!
carla, bev, and ashley took their unit 2 math test. carla made an 80 and bev made a 75. what was ashleys score on the test if their average was 78.
a sum of 1000 invested at an jntrest rate 12% per year. Find the amounts in the account after 3 years if intrest is compounded annualy, semiannually, quarerterly, monthly, and daily.