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3 years ago

Find the Number in Each Case

1 answer:

6 0

It seems like you have the answer already. but heres how its calculated.
$\frac{100}{15} = \frac{?}{3}$
so the missing number is 20 **cross multiply 100 and 3 to get 300 then divide 15 into 300 to get 20**

$\frac{160}{100} = \frac{80}{?}$
so the missing number is 50
**cross multiply 100 and 80 to get 8000 then divide 160 into 8000 to get 50**

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In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home. Give the value of th

astra-53 [7]

Answer:

The value of the standard error for the point estimate is of 0.0392.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.

This means that $n = 100, p = \frac{81}{100} = 0.81$

Give the value of the standard error for the point estimate.

This is s. So

$s = \sqrt{\frac{0.81*0.19}{100}} = 0.0392$

The value of the standard error for the point estimate is of 0.0392.

7 0

2 years ago

A sphere with a radius of 5 cm fits inside a box. Every face of the box is tangent to the sphere. What is the ratio of the volum

BARSIC [14]

Volume of box with side length of 5 = 5^3 = 125

Volume of sphere = (4/3)*pi*5^3 = (4/3)pi * 125

Ratio = 125/(4pi/3)*125 = 1/(4pi/3) = 3/(4pi)

Answer: B

8 0

2 years ago

Read 2 more answers

Erin feeds her dog 7/10 cup of food a day . With 3/10 cup canned and the rest dry . She also gives her dog 1 treat a day . How m

gavmur [86]

Answer:

$2\frac{4}{5}\ \ or \ 2.8 \ \ cups$

Step-by-step explanation:

-The total portion fed to the dog is 7/10 cup

Canned-3/10
Dry=7/10-3/10=4/10

-One week has 7 days. we multiply the dry portion per day by the number of days in a week.

$Dry= Total -Canned\\\\=\frac{7}{10}-\frac{3}{10}\\\\=0.40 \ cup\\\\Dry \ per \ Week= Dry/ day\times days\\\\=0.40\times 7\\\\=2\frac{4}{5}\ or\ 2.8 \ cups$

Hence, Erin feed her dog 2 4/5 0r 2.8 cups of dry food

5 0

2 years ago

The owner of a hot dog stand receives a loan of $3,750 at 8.25% for 9 months. find the amount of simple interest.(round to the n

Ivan

Hello! The formula for simple interest is prt. That means you multiply the principal (initial amount) by the rate (simple interest percentage), by the amount of time (could be in months or years). So, the loan is $3,750 and the rate is 8.25% for 9 months. 9 months is 3/4 of the year, because there are 12 months in 1 year and 9/12 is 0.75. Let's multiply. 3,750 * 8.25% (0.0825) is 309.375 Now, multiply that number by 0.75 to get 232.03125 or 232.03 when rounded to the nearest hundredth (cent). The amount of simple interest is $232.03.

7 0

3 years ago

which statement is true about the equations –3x 4y = 12 and x1/4 – 1/3y = 1? the system of the equations has exactly one solutio

finlep [7]

If you would like to solve the system of equations, you can do this using the following steps:

-3x + 4y = 12
x * 1/4 - 1/3 * y = 1 ... x * 1/4 = 1 + 1/3 * y ... x = 4 + 4/3 * y
_____________
-3x + 4y = 12
-3 * (4 + 4/3 * y) + 4y = 12
-12 - 4y + 4y = 12
-12 = 12
-12 - 12 = 0
-24 = 0

The correct result would be: the system of the equations has no solution; the two lines are parallel.

4 0

2 years ago