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3 years ago

8

You are creating a 4 letter password using only the 26 lowercase letters from the alphabet, how many unique passwords could you

create ( assuming the password does not need to spell a real word) if repeating letters is allowed?

1 answer:

aivan3 [116]3 years ago

4 0

Answer:

456,976

Step-by-step explanation:

26•26•26•26=456,976

There are 26 options for each spot in the password and 4 spots, so it's 26^4

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Convert each rate 21 ft/sec = _____ yd/sec

oksian1 [2.3K]

Answer:

7 yards yards per second.

Step-by-step explanation:

you divide 21 by three

3 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

Factorise x^2-3x+10=0

Mila [183]

(x-5)(x+2)=0
roots: x=5 and x= -2
see attached photo for steps

6 0

3 years ago

Read 2 more answers

A storage room measures 48 inches by 60 inches.what is the total area in square feet of the closet?

Mandarinka [93]

2880 square feet squared

7 0

3 years ago

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Using the figure above, which theorem can you prove that m∠1 = m∠2? explain your answer.

storchak [24]

Answer:

<em>If two lines are cut by a transversal such that alternate exterior angles are congruent, then the lines are parallel.</em>

Step-by-step explanation:

Start by stating that the given angles are congruent.

Call the angle vertical to angle 1 "angle 3."

Then angle 3 and angle 1 are congruent by vertical angles.

Angle 3 and angle 2 are congruent by transitive congruence of angles.

That makes lines u and v parallel by congruent corresponding angles of two lines and a transversal.

Answer

You can prove the following theorem:

<em>If two lines are cut by a transversal such that alternate exterior angles are congruent, then the lines are parallel.</em>

6 0

4 years ago