Simplify by combining like terms:<br> 3x

On a test, Sarah got 48 questions correct out of 50. What percent did she get on her test?

photoshop1234 [79]

Answer:

96%

Step-by-step explanation:

48 / 50 = 0.96

0.96 x 100% = 96%

5 0

3 years ago

Read 2 more answers

What is the probability of randomly choosing a permutation of the 10 digits 0, 1, 2, . . . , 9 in which (a) an odd digit is in t

inysia [295]

The first digit is one of {1, 3, 5, 7, 9}, and the last digit is one of {1, 2, 3, 4, 5}.

If the first digit is one of {1, 3, 5} (3 choices), then the last digit is one of {1, 2, 3, 4, 5} minus whatever is picked for the first digit (4 choices, and the remaining eight digits can be arranged in 8! ways, so there are 12*8! possible permutations.

If the first digit is one of {7, 9} (2 choices, then the last digit is one of {1, 2, 3, 4, 5} (5 choices), and again there are 8! ways of arranging the remaining digits, so there are 10*8! possible permutations.

Then the total number of permutations that fit the criteria is 12*8! + 10*8! = 22*8!. There are 10! total permutations that can be made overall, so the probability of randomly picking one we want is

$\dfrac{22\cdot8!}{10!}=\dfrac{22}{10\cdot9}=\boxed{\dfrac{11}{45}}$

7 0

4 years ago

Think about a standard deck of 52 playing cards. Which of the following events is mutually exclusive?

Shtirlitz [24]

Answer:

1.) Drawing a king or a queen.

Step-by-step explanation:

1.) Drawing a king or a queen.

You cannot get a king and a queen at the same time= mutually exclusive

2.) Drawing a club or a black card.

King of clubs is both a club and a black card

3.) Drawing a king or a heart.

king of hearts is both a heart and a king

4.) Drawing a face card or a heart

queen of hearts is a heart and a face card

7 0

3 years ago

Suppose an article reported that 14% of unmarried couples in the United States are mixed racially or ethnically. Consider the po

Anvisha [2.4K]

Answer: $\mu_{\hat{p}}=0.14$ and $\sigma_{\hat{p}}=0.0347$

Step-by-step explanation:

In sampling distribution of $\hat{p}$ .

The mean and standard deviation of the sampling distribution of p is given by :-

$\mu_{\hat{p}}=p$

$\sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}$ , where p= population proportion and n= sample size.

Let p be the population proportion of unmarried couples in the United States are mixed racially or ethnically.

As per given , we have

n = 100

p= 14% =0.14

Then, the mean and standard deviation of the sampling distribution of p will be :

$\mu_{\hat{p}}=0.14$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.14(1-0.14)}{100}}$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.14(0.86)}{100}}$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.1204}{100}}$

$\sigma_{\hat{p}}=\sqrt{0.001204}$

$\sigma_{\hat{p}}=0.0346987031458\approx0.0347$

Hence, the required answer : $\mu_{\hat{p}}=0.14$ and $\sigma_{\hat{p}}=0.0347$

8 0

3 years ago

Fractions are hard... Or I'm just to lazy to try and do them.

notka56 [123]

Answer: C) 3/2

Explanation: In math, the reciprocal is the inverse of a number or value. Simply, the number when flipped. Knowing this, one can flip the fraction to find the reciprocal, in this case turning 2/3 into 3/2.

Hope this helps :)

5 0

3 years ago

Simplify by combining like terms: 3x - 10 + 2 + 6x