All categories

3 years ago

Three consecutive numbers have a sum of 18. *

Mathematics

1 answer:

postnew [5]3 years ago

7 0

The three consecutive integers that add up to 18 are 5, 6, and 7.

You might be interested in

the ratio of the number of adults to the number of students at the problem has to be 1 :10 Last year there were 477 more student

JulsSmile [24]

About 48 adults. I think.

4 0

3 years ago

Given the vent diagram below , if a student is randomly selected , what is the probability that he or she is not attending eithe

Furkat [3]

The correct answer is 28 because all numbers add up to 200 and the number saying that she doesn't attend either is 56, half of 56 is 28. Voila

5 0

3 years ago

Is 67 a prime number?

alexdok [17]

Answer:

yes 67 is a prime number because has only 2 divisors

Step-by-step explanation:

7 0

3 years ago

A ferry will safely accommodate 82 tons of passenger cars. Assume that the meanweight of a passenger car is 2 tons with standard

Shalnov [3]

Answer:

The probability that the maximum safe-weight will be exceeded is <u>0.0455 or 4.55%</u>.

Step-by-step explanation:

Given:

Maximum safe-weight of 37 cars = 82 tons

∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)

Mean weight of 1 car (μ) = 2 tons

Standard deviation of 37 cars = 0.8 tons

So, standard deviation of 1 car is given as:

$\sigma=\frac{0.8}{\sqrt{37}}=0.13$

Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?

The sample is normally distributed (Assume)

Now, let us determine the z-score of the mean weight.

The z-score is given as:

$z=\frac{x-\mu}{\sigma}\\\\z=\frac{2.22-2}{0.13}\\\\z=\frac{0.22}{0.13}=1.69$

Now, finding P(x > 2.22) is same as finding P(z > 1.69).

From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.

But we need the area under the curve for z > 1.69.

So, we subtract from the total area. Total area is 1 or 100%.

So, $P(z > 1.69) = 1 - P(z < 1.69)$

$P(z>1.69)=1-0.9545=0.0455\ or\ 4.55\%$

Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

8 0

3 years ago

Multiply

Paraphin [41]

Answer:

B. 20x^4-39x^3+26x^2-6x

Step-by-step explanation:

(5x^2-6x+2)*(4x^2-3x)

20x^4 -15x^3 -24x^3 + 18 x^2 +8x^2 - 6x

20x^4 -39x^3 + 26x^2 - 6x

5 0

2 years ago