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xxMikexx [17]
3 years ago
11

The sum of 5 consecutive even numbers is 100. What is the first number in this sequence?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0
Answer: The number is 16
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4 years ago
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In a state where license plates contain six digits, what is the probability that the license number of a randomly selected car h
andre [41]

Answer:

Step-by-step explanation:

Given : In a state where license plates contain six digits.

Probability of that a number is 9 = \dfrac{1}{10}   [Since total digits = 10]

We assume that each digit of the license number is randomly selected  .

Since each digit in the license plate is independent from the other  and there is only two possible outcomes for given case (either 9 or not), so we can use Binomial.

Binomial probability formula:  P(X=x)=^nC_xp^x(1-p)^{n-x}

, where n= total trials , p = probability for each success.

Let x be the number of 9s in the license plate number.

X\sim Bin(n=6, p=\dfrac{1}{10}})

Then, the probability that the license number of a randomly selected car has exactly two 9's will be :

P(X=2)=^6C_2(\dfrac{1}{10})^2(1-\dfrac{1}{10})^{6-2}\\\\=\dfrac{6!}{2!(6-2)!}(\dfrac{1}{100})(\dfrac{9}{10})^4=0.098415

Hence, the required probability = 0.098415

5 0
3 years ago
Which fraction shows a correct way to set up the slope formula for the line that passes through the points (4, -6) and (-2, 1)?
alexandr402 [8]
Y +6 = -7/6 (x-4)



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6 0
3 years ago
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In Crestview Middle School, 12 out of 16 students are right handed. If there are 400 students in the school, how many are right
DerKrebs [107]

Answer:

the answer is 300

Step-by-step explanation

there are 16 people so we divide that by the total number of students

400 divided by 16 = 25

since there are 12 right handed in each group we multpily it by 12

25 x 12 = 300

and theres your answer!

7 0
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BC =<br> Round your answer to the nearest hundredth.<br> ?<br> C<br> B<br> 50°<br> 7<br> А
umka21 [38]

Answer:

The answer is 8.34

U have to use the SOH CAH TOA method

In this case I used tan

so,

tan 50= BC/7

solve for BC= 7* tan 50= 8.34

6 0
3 years ago
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