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astraxan [27]
3 years ago
5

6) The sum of three consecutive numbers is 120. What is the smallest of the three numbers ?

Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0

Answer:

39

Step-by-step explanation:

Let the smallest number be n,

then the three numbers are n, n+1 and n+2

Therefore, n+(n+1)+(n+2)=120

Collecting like terms,

n+n+n=120-1-2

3n=117

n=117/3

n=39

Therefore the numbers are 39,40 and 41.

And the smallest number is 39.

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Consider the gender and class make-up of students at a large university by gender and status as given in the table.
azamat

Answer:

0.589

Step-by-step explanation:

THis is a conditional probability question. Let's look at the formula first:

P (A | B) = P(A∩B)/P(B)

" | " means "given that".

So, it means, the <u><em>"Probabilty A given that B is equal to Probability A intersection B divided by probability of B."</em></u>

<u><em /></u>

So we want to know P (Female | Undergraduate ). This in formula is:

P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)

Now,

P (Female ∩ Undergraduate) means what is common in both female and undergraduate? There are 43% female that are undergrads. Hence,

P (Female ∩ Undergraduate) = 0.43

Also,

P (Undergraduate) is how many undergrads are there? There are 73% undergrads, so that is P (undergraduate) = 0.73

<em>plugging into the formula we get:</em>

P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)

=0.43/0.73 = 0.589

this is the answer.

4 0
3 years ago
Lee scored 15 goals out of 35 attempts. What fraction of her attempts were successful?
V125BC [204]
15/35 of her attempts were successful.
8 0
3 years ago
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4.289 rounded to the nearest tenth
Novay_Z [31]

Answer:

4.3

Step-by-step explanation:

8 0
2 years ago
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A triangle has the side lengths of 12, 34, 45. Is it a right triangle?
deff fn [24]

Answer:

no

Step-by-step explanation:

a^2+b^2=c^2?

12^2+34^2=45^2?

1300≠2025

5 0
3 years ago
Can y'all help me with these too please
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Answer:

6. Z= -11

7. N= 15.25

Step-by-step explanation:

6. Subtract 10 from each side to get Z+3= -8

Then Subtract 3 from each side to get Z= -11

7. Subtract 4 from each side to get 3/4 n= 16

Then Subtract 3/4 to get N= 15.25

8 0
2 years ago
Read 2 more answers
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