Jacob has taken three math test

(b) As in part (a), how many three-digit phone prefixes are possible that do not start with 0 or 1, but contain 0 or 1 as the mi

Lubov Fominskaja [6]

Answer:

The number of 3-digit phone prefixes that do not start with 0 or 1, but contain 0 or 1 as the middle digit is 160.

Step-by-step explanation:

The phone prefix for any area is of the form X X X.

These prefixes can take values from 0 to 9.

The condition to create a phone prefix is:

The first digit cannot be 0 or 1
The middle digit is either 0 or 1.

The possible number of ways to fill the first place is 8 since 0 or 1 cannot be the first digit.

The possible number of ways to fill the second place is 2 since the middle digit can be occupied by either 0 or 1.

The possible number of ways to fill the last place is 10 since there are no condition applied to the last digit.

Then the number of phone prefixes that can be formed is = $8\times2\times10=160$

Thus, the possible number of phone prefixes possible is 160.

7 0

3 years ago

if you work and 8 hour shift on each weekend day and take two weeks off during the year, how many hours will you work in a year?

otez555 [7]

$365:7=52 \frac{1}{7} \rightarrow\ the\ number\ of\ weeks\ in\ year\\\\52 \frac{1}{7}-2=50 \frac{1}{7}\\\\50 \cdot5+1=251\ \ \ \rightarrow\ \ \ number\ of \ workday\\\\251\cdot8=2008\ (hour/year)\ \leftarrow\ Ans.$

8 0

3 years ago

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Buffy attends a night school, and the ages of the people in his study group are 42, 55, 36, 41, 38, 33, and 46. What is the best

serious [3.7K]

Answer:

41.6

Step-by-step explanation:

3 0

3 years ago

Write two mixed nubers that have the sum of 3

erastova [34]

A mixed number is a number that is a whole number with a fraction
so numbers that are mixed are greater than 1

so therefor since both have to be greater than 1, the fractions have to add up to equal 1

so the mixed numbers are (1 and x) and (1 and y) where x+y=1 so some examples are
1 and 1/2+1 and 1/2
1 and 1/3+1 and 2/3
1 and 1/4 +1 and 3/4
1 and 1/1000+1 and 999/1000
etc

8 0

3 years ago

What is the missing degree measure of the third angle of the triangle below?

Dafna1 [17]

Answer:

56 degrees

Step-by-step explanation:

Hello there!

Remember the sum of the angles in a triangle is equal to 180

so to find the missing angle we subtract the given angles from 180

180 - 34 - 90 = 56

so we can conclude that the measure of the missing angle is 56 degrees

Note: the little square at the bottom left of the triangle indicates that the angle is a right angle. The measure of a right angle is 90 degrees so thats where the 90 came from

5 0

3 years ago

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