All categories

4 years ago

A piece of paper is four over one thousand inches thick so how many sheets of paper will it take to make a stack 1 inch high

Mathematics

1 answer:

trasher [3.6K]4 years ago

6 0

Keep doing 4 over 1000 until the four reaches the 1000. If four does not go into 1000, then reduce the fraction 4/1000.

You might be interested in

Georgia built a model of the empire state building that is proportional to the actual building. the actual building is 187 feet

VLD [36.1K]

1,454 / 10 = 145.4

187 / 145.4 = 1.29

1.29ft wide

7 0

3 years ago

Prime factorization of 75

stiks02 [169]

Answer:

Prime factorization: 75 = 3 x 5 x 5, which can also be written 75 = 3 x 5²

Step-by-step explanation:

75 is a composite number.

6 0

3 years ago

For the following exercises, evaluate the function at the indicated values:

STALIN [3.7K]

Answer:

The evaluated function for the indicated values is given below.

The value of f(-3) is 20 .

The value of f(2) is 10 .

The value of f(-a) is $2|-3 a-1|$ .

The value of -f(a) is $-2|3 a-1|$ .

The value of f(a+h) is $2|3 a+3 h-1|$ .

Step-by-step explanation:

A function $f(x)=2|3 x-1|$ is given.

It is required to evaluate the function at $f(-3) ; f(2) ; f(-a) ;-f(a) ; f(a+h)$ .

To evaluate the function, substitute the indicated values in the given function to determine the output values and simplify the expression.

Step 1 of 5

The given function is $f(x)=2|3 x-1|$ .

To evaluate the function at f(-3), substitute -3 in the given function $f(x)=2|3 x-1|$\\ $f(-3)=2|3(-3)-1|$\\ $f(-3)=2|-9-1|$\\ $f(-3)=2|-10|$\\ $f(-3)=2(10)$\\ $f(-3)=20$$

Step 2 of 5

To evaluate the function at $f(2)$, substitute 2 in the given function.

$f(x)=2|3 x-1|$\\ $f(2)=2|3(2)-1|$\\ $f(2)=2|6-1|$\\ $f(2)=2(5)$\\ $f(2)=10$$

Step 3 of 5

To evaluate the function at f(-a), substitute -a in the given function.

$\begin{aligned}&f(x)=2|3 x-1| \\&f(-a)=2|3(-a)-1| \\&f(-a)=2|-3 a-1|\end{aligned}$

Step 4 of 5

To evaluate the function at -f(a), substitute a in the given function.

$f(x)=2|3 x-1|$\\ $-f(a)=-2|3(a)-1|$\\ $-f(a)=-2|3 a-1|$$

Step 5 of 5

To evaluate the function at f(a+h), substitute a+h in the given function. $f(x)=2|3 x-1|$

$\begin{aligned}&f(a+h)=2|3(a+h)-1| \\&f(a+h)=2|3 a+3 h-1|\end{aligned}$

7 0

2 years ago

Can someone help me solve this equation?

salantis [7]

one bag contains x pencils

5 bags contain 5x pencils

after adding 3 pencils to each bag

total no of pencils = 5(x+3)

According to question,

5(x+3)=45

x+3=45/5

x+3=9

x=6

one bag contained 6 pencils before adding

3 0

2 years ago

Read 2 more answers

Scores on the GRE are normally distributed with a mean of 514 and a standard deviation of 92. Use the 68-95-99.7 rule to find th

SpyIntel [72]

Answer:

2.5%

Step-by-step explanation:

The percentage of people taking the test who are above 698 is ___%

Empirical rule formula states:

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

From the question, we have:

Mean of 514 and a Standard deviation of 92

Hence:

μ ± xσ

514 ± 92x = 698

514 + 92x = 698

92x = 698 - 514

92x = 184

x = 184/92

x = 2

Hence, the data is correct and it is 2 standard deviation from the mean. Therefore, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

The question is asking us to find the percentage of people taking the test who are above 698 is calculated as:

100 - 95% /2

= 5/2

= 2.5%

The percentage of people taking the test who are above 698 is 2.5%

8 0

3 years ago