All categories

2 years ago

The sum of four consecutive odd numbers is 368 find the numbers

Mathematics

1 answer:

Lana71 [14]2 years ago

7 0

Answer:

the four consecutive numbers are 89, 90, 91, 93.

Step-by-step explanation:

let the four consecutive numbers be x, x+2, x+4, x+6

according to the condition in the question

x+x+2+x+4+x+6=368

4x+12=368

4x=356

x= 89

So, the numbers are 89, 90, 91, 93.

hope this will help :)

You might be interested in

By rewriting the formula for the Multiplication Rule, you can write a formula for finding conditional probabilities. The condit

ss7ja [257]

Answer:

89.01% probability that a flight arrives on time given that it departed on time.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Departing on time

Event B: Arriving on time.

The probability that a flight departs and arrives on time is 0.81.

This means that $P(A \cap B) = 0.81$

The probability that an airplane flight departs on time is 0.91.

This means that $P(A) = 0.91$

Find the probability that a flight arrives on time given that it departed on time.

$P(B|A) = \frac{0.81}{0.91} = 0.8901$

89.01% probability that a flight arrives on time given that it departed on time.

5 0

2 years ago

How many words can be formed by using the W,X,Y,Z if repetitions is not allowed?

Setler [38]

Answer:

Step-by-step explanation:

What you have here is a permutation, seeing as each element can only be used once.

We have 4 letters initially, so we can choose any 1 as our first letter. We have 4 choices for our first letter

However, once we choose our first letter, we can't use it anymore, so, for our second letter, we can only choose from the remaining 3 letters.

Furthermore, once we choose our second letter, we can only choose our 3rd letter from the remaining two letters we didn't choose yet.

Finally, our last letter will always be the one we didn't choose the last 3 times. So there is only one choice here.

Going off of this, we have four choices for the 1st letter, three choices for the 2nd letter, two choices for the 3rd letter, and one choice for the 4th letter

The way to calculate how many permutations we have without repetition is using factorials

Where N is the number of elements you have.

In this case, it would be 4!

4! is 4 * 3 * 2 * 1

Which equals 24

If you notice, each number in 4! is the number of options we have for each choice. 4, then 3, and so on

5 0

2 years ago

Suppose in the next year, 2007, College D's expenses and enrollment remain about the same, but in addition to their current reve

Olin [163]

This question is incomplete, here is the complete question:

Suppose in the next year, 2007, College D's expenses and enrollment remain about the same, but in addition to their current revenues, they receive an additional $50,000,000 grant. This would allow them to reduce average tuition by how much?

A) $1388.89

B) $3571.43

C) $5555.56

D) $9500.00

E) $25888.89

number of students = 36,000

Answer: A) $

1388.89

Step-by-step explanation:

the college received additional grant which is $50,000,000

and the number of students is 36,000,

and we also know that expenses and enrollment remained the same.

So if we have more money (grants) and nothing changed (expenses remain the same)

dividing the grant by the number of students will show just how much the average tuition fee would be reduced

therefore R = G/n

R = 50,000,000 / 36000

R = 1,388.888 ≈ $1388.89

7 0

2 years ago

Two square rooms have a total floor area of 89m2. One room is 3m longer each way than the other. Find the dimensions of the two

Rudiy27

Answer:

Step-by-step explanation:

Let the smaller room have an area of x^2

Let the larger room have an area of (x + 3)^2

(x+3) ^2 + x^2 = 89 Be careful not to make it 89^2.

x^2 + 6x + 9 + x^2 = 89 Expand the binomial squared

2x^2 + 6x + 9 - 89 = 0 Subtract 89 from both sides

2x^2 + 6x + 9 - 89 = 0 Combine

2x^2 + 6x - 90=0 Divide by 2

x^2 + 3x - 45 = 0 This factors.

(x + 9)(x- 5) = 0

X + 9 gives nothing useful

x - 5 = 0

x = 5

x + 3 = 5+3 = 8

So the answer is A

3 0

2 years ago

John bought 3 pants for 25 dollars each and paid with a one-hundred-dollar bill. Write a numerical expression to represent this

ruslelena [56]

Answer:

x-25=75

Step-by-step explanation:

ANSWER

6 0

2 years ago

Read 2 more answers

The sum of four consecutive odd numbers is 368 find the numbers​

The sum of four consecutive odd numbers is 368 find the numbers