For an arithmetic sequence, given Sn=690,a1=19, an=96 find the value of n help pleaseeeee

diamong [38]

This one is for number 26

4 0

3 years ago

A survey showed that 35% of the students prefer plain white milk over chocolate milk. If the school has 1200 students. How many

vodomira [7]

Answer:

The number of students who prefer chocolate milk is 780 .

Step-by-step explanation:

Given as :

The total number of students in the school = 1200

The percentage of students who prefer plain white milk = 35 %

Let the number of students who prefer chocolate milk = x

Now, ∵ The percentage of students who prefer plain white milk = 35 %

∴ The percentage of students who prefer chocolate milk = 100 % - 35 % = 65%

So , As The number of students who prefer chocolate milk = x

Or, 65 % of total number of students in school = x

So, x = $\frac{65}{100}$ × 1200

or, x = $\frac{65\times 1200 }{100}$

∴ x = 780

So, the number of students who prefer chocolate milk = x = 780

And students who prefer plain white milk = 1200 - x = 1200 - 780 = 420

Hence, The number of students who prefer chocolate milk is 780 . Answer

4 0

3 years ago

The sum of a two digit number and the number obtained by interchanging the digits is 132. If the two digits differ by 2, find th

damaskus [11]

Answer:

A two-digit number can be written as:

a*10 + b*1

Where a and b are single-digit numbers, and a ≠ 0.

We know that:

"The sum of a two-digit number and the number obtained by interchanging the digits is 132."

then:

a*10 + b*1 + (b*10 + a*1) = 132

And we also know that the digits differ by 2.

then:

a = b + 2

or

a = b - 2

So let's solve this:

We start with the equation:

a*10 + b*1 + (b*10 + a*1) = 132

(a*10 + a) + (b*10 + b) = 132

a*11 + b*11 = 132

(a + b)*11 = 132

(a + b) = 132/11 = 12

Then:

a + b = 12

And remember that:

a = b + 2

or

a = b - 2

Then if we select the first one, we get:

a + b = 12

(b + 2) + b = 12

2*b + 2 = 12

2*b = 12 -2 = 10

b = 10/2 = 5

b = 5

then a = b + 2= 5 + 2 = 7

The number is 75.

And if we selected:

a = b - 2, we would get the number 57.

Both are valid solutions because we are changing the order of the digits, so is the same:

75 + 57

than

57 + 75.

6 0

3 years ago

) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection

RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

$C_{(m,n)} = \frac{m!}{n!(m-n)!}$

In this question, m = 18, n = 9. So the total number of possibilities is:

$T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620$

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

$D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715$

The probability is the number of desired possibilities divided by the number of total possibilities. So

$P = \frac{715}{48620} = 0.015 = 1.5%$

The probability the he or she will answer correctly is 1.5%

3 0

3 years ago

Antwan Campbell earns $494 per week. He is married and claims 1 child as a dependent. The state tax rate is 2.25% of taxable inc

DENIUS [597]

Answer:

$12.35

Step-by-step explanation:

Amount earned by Campbell per week = $494

Tax rate = 2.25 %

Amount withheld = 2.25% of his earning;

Amount withheld = 2.25 % of 494

Amount withheld = 0.025 * 494

Amount withheld = $12.35

Hence the amount withheld from his weekly pay for state income tax is $12.35

7 0

3 years ago

For an arithmetic sequence, given Sn=690,a1=19, an=96 find the value of n help pleaseeeee​

For an arithmetic sequence, given Sn=690,a1=19, an=96 find the value of n help pleaseeeee