A newspaper ad includes a telephone number 1-555-dial vsw. How many seven letter arrangements are possible for the phone number using the 26 letters of the alphabet of no letter is ised more than once? Express your answer using scientific notation.

Answers

Answer 1

Answer: Let u be the set of all words containing 7 letters(26 letters to the power 7)

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Square RSTU dilates by a factor of 1/2 with respect to the origin. If R'S' is 2 units, how many units does RS have?0.5 units

2 units

1 unit

4 units

6 units

Answers

If square RSTU dilates by a factor of 1/2 with respect to the origin, than:
R`S` = 1/2 · RS
2 = 1/2 RS
RS = 2 · 2 = 4
Answer: D ) 4 units.

Answer: 4 units

Step-by-step explanation:

A coin is tossed and a six-sided die numbered 1 through
6 is rolled. Find the probability of tossing a
head and then rolling a number greater than 4.

Answers

The probability of tossing a head and then rolling a number greater than 4 is 1/6. The probability says the number of possible outcomes from the total outcomes of an event.

What is probability?

The probability is defined as the ratio of the count of the favorable outcomes to the total count of the outcomes of the sample.

P(A) = n(A)/n(S) where A is n event, n(S) is the total count of the sample, and n(A) is the count of favorable outcomes.

Calculating the probability:

The given events are tossing a coin and rolling a dice.

The favorable outcomes for these events are given as tossing a head and rolling a number greater than 4.

Calculating the probability of tossing a coin:

The total outcomes of the event are 2 (head and tail)

The favorable outcome = 1 (only head)

So, the probability of tossing a head = 1/2

Calculating the probability of rolling a dice:

The total outcomes of the event are 6 ( a dice has 6 faces with a number on each face (1 to 6))

So, there are only two numbers that are greater than 4 (5, 6)

The favorable outcomes = 2

So, the probability of rolling a numbergreater than 4 = 2/6 =1/3

Calculating the probability of two events at the same time:

To get this probability- multiply both the probabilities.

⇒ 1/2 × 1/3 =1/6

Therefore, the required probability is 1/6.

Learn more about probabilities here:

brainly.com/question/10837034

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tossing a head = 1/2
rolling a number greater then 4 = 2/6 = 1/3

1/2 * 1/3 = 1/6 <==

The correlation coefficient r between a child’s age, x, and the number of minutes spent doing homework each day, y, is 0.694. What percent of the variation in the number of minutes doing homework cannot be explained by differences in the children’s ages?

Answers

So, they are looking for the percentage that is NOT explained... Well, given the r we can find the percentage that IS explained by it first. That's given by r^2.

Now - let's take the square of r it gives me .481636. That means that about 48% IS explained. Therefore, the part that cannot be explained must be the missing part (out of 100% so 100% - 48.1636% should be it :)

So 100% - 48.1636% = 0.518364 and we want to round that off to three decimal places which will give us 0.518... and then we could convert that to a percent for the final. So 0.518 as a percentage is 51.8%! s

Find (f - g)(x) if f(x) = x2 - x - 6 and g(x) = 2x2 - 3x + 4a. -x2 + 2x - 10
b. x2 - 4x - 2
c. 3x2 - 4x - 2
d. x2 + 2x - 10