What is the net mass of sugar if the gross mass is12.5 and the empty container is 400g?A35.70kg B12.9kg
C12.1kg
D12.6 kg

Answers

Answer 1

Answer: the answer is
C 12.1 kg

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An isosceles right triangle has legs that are 10 inches long . how long is the hypotenuse ? A 10in
B 14.1 in
C 20 in
D 28.2 in

Answers

Hi There! :)

An isosceles right triangle has legs that are 10 inches long . how long is the hypotenuse ?A 10in
B 14.1 in
C 20 in
D 28.2 in

A 10in

Find the variance and standard deviation of the given set of data to the nearest tenth.{440, 130, 280, 500, 150, 640, 760}

A) variance = 222.7, standard deviation = 49,595.9

B) variance = 49,595.9, standard deviation = 24,798

C) variance = 49,595.9, standard deviation = 222.7

D) variance = 57,861.9, standard deviation = 240.5

Answers

Answer:

Part 1) variance = 49,595.9

Part 2) standard deviation = 222.7

Option C

Step-by-step explanation:

we have

set of data $[440,130,280,500,150,640,760]$

step 1

Find the mean

Adds the values and divide by the number of values

In this problem the number of values is 7

$[440+130+280+500+150+640+760]/7$

$[2,900]/7=414.3$

step 2

for each number: subtract the Mean and square the result

$(440-414.3)^(2)=660.49\n (130-414.3)^(2)= 80,826.49\n (280-414.3)^(2)= 18,036.49\n (500-414.3)^(2)= 7,344.49\n (150-414.3)^(2)= 69,854.49\n (640-414.3)^(2)= 50,940.49\n (760-414.3)^(2)=119,508.49$

step 3

work out the mean of those squared differences

$[660.49+80,826.49+18,036.49+7,344.49+69,854.49+50,940.49+119,508.49]/7=347,171.43/7=49,595.9$ ----> this value is called the "Variance"

step 4

The standard deviation is the square root of the variance

The standard deviation is equal to

$√(49,595.9)=222.7$

You deposit $6,700 in a money-market account that pays an annual interest rate of 3.3%. The interest is compounded quarterly. How much money will you have after 4 years?

Answers

3.3% per year is 0.825% per quarter, and 4 years is 16 quarters, so your result will be $6,700 x (1.00825)16 = $7,641.29, a total return of just over 14%.

Chloe has 20 unit cubes how many different rectangular prisms can she build with the cubes