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3 years ago

Which expression has a value closest to 1 ? (Use 3.14 as the value of pi.)

Mathematics

2 answers:

leva [86]3 years ago

8 0

B is the answer for the question

4vir4ik [10]3 years ago

3 0

B is the answer for the question

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30 miles per gallon. At $2.19 a gallon, how much would that cost?

Rudiy27

At 30 miles per gallon that would cost $65.70

5 0

4 years ago

Which value of m will create a system of parallel lines with no solution? y=mx-6 8x-4y=12

Dvinal [7]

Answer: y = 2x - 6

Step-by-step explanation:

Let us turn the second given equation into slope-intercept form to match the first equation.

8x - 4y = 12

8x - 12 = 4y

4y = 8x - 12

y = 2x - 3

Now, parallel lines have the same slope. This is the m value.

y = 2x - 3

y = mx - 6

y = 2x - 6

Read more about your question here which includes parallel slopes:

brainly.com/question/2406233

7 0

2 years ago

F(x)=2/3x-4 what is f^-1(x)

Luda [366]

Answer:

f ∧ (-1) = (2 + 4x)/3x

Step-by-step explanation:

7 0

3 years ago

Doreen Schmidt is a chemist. She needs to prepare 32 ounces of a 13% hydrochloric acid solution. Find the amount of 16% soluti

klasskru [66]

Answer:

She should mix 20 ounces of 16% solution and 12 ounces of 8% solution.

Step-by-step explanation:

Given:

Doreen Schmidt needs to prepare 32 ounces of a 13% hydrochloric acid solution.

Now, to find the amount she should mix of 16% solution and of 8% solution.

Let the 16% solution amount be $x.$

And let the 8% solution amount be $y.$

So, the total ounces of solution:

$x+y=32$

$y=32-x$ .......(1)

Now, to solve the equation to get the solution she should mix:

$16\%\ of\ (x)+8\%\ of\ (y)=13\%\ of\ (32)\\\\\frac{16}{100}\times x+\frac{8}{100}\times y=\frac{13}{100}\times 32$

$0.16x+0.08y=0.13\times 32$

Substituting the value of $y$ from equation (1) we get:

$0.16x+0.08(32-x)=4.16$

$0.16x+2.56-0.08x=4.16$

$2.56+0.08x=4.16$

Subtracting both sides by 2.56 we get:

$0.08x=1.6$

Dividing both sides by 0.08 we get:

$x=20.$

The 16% solution amount = 20 ounces.

Now, substituting the value of $x$ in equation (1) we get:

$y=32-x\\\\y=32-20\\\\y=12.$

The 8% solution amount = 12 ounces.

Therefore, she should mix 20 ounces of 16% solution and 12 ounces of 8% solution.

6 0

4 years ago

A website streams movies and television shows to millions of users. Employees know that the average time a user spends per sessi

oksian1 [2.3K]

Using the Central Limit Theorem, it is found that since the sample size is greater than 30, a normal approximation can be used, hence the test can be made.

<h3>Central Limit Theorem</h3>

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 sampling distribution is also approximately normal, as long as n is at least 30.

In this problem, the distribution of lengths is skewed, however, since the sample size is of 100 greater than 30, a normal approximation can be used, hence the test can be made.

To learn more about the Central Limit Theorem, you can check brainly.com/question/24663213

4 0

2 years ago