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3 years ago

A set of 3 consecutive integers has a sum of 30. Which integers are they?

Mathematics

2 answers:

riadik2000 [5.3K]3 years ago

8 0

You can only do it like '7.5 plus 9.5 plus 13

Goshia [24]3 years ago

5 0

Since consecutive means they're one away from each other, the 3 integers can be written like this:

x
x + 1
x +2

So, we add all of these together to find x:
x + x + 1 + x + 2= 30
3x + 3 = 30
3x = 27
x = 9

This then means the numbers are 9, 10, and 11

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What is the least common multiple of the number 64, 16, 2, and 8?

Lina20 [59]

Answer:

Step-by-step explanation:

Since 64 is a multiple of itself and of all the other numbers, the answer is 64.

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3 years ago

What theorem states that if two sides and the included angle of one triangle are congruent to the corresponding parts of another

lianna [129]

The given statement is proved by side-angle-side (SAS) theorem.

Yes, if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle the triangles are congruent.

The statement is proved by SAS theorem

<u>Side-Angle-Side (SAS) theorem: </u>

The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.

Hence, The given statement is proved by side-angle-side (SAS) theorem.

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1 year ago

5. Determine whether the

BARSIC [14]

Step-by-step explanation:

5. Determine whether the

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6 0

3 years ago

It is estimated that 0.54 percent of the callers to the Customer Service department of Dell Inc. will receive a busy signal. Wha

stira [4]

Using the binomial distribution, it is found that there is a 0.8295 = 82.95% probability that at least 5 received a busy signal.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

0.54% of the calls receive a busy signal, hence p = 0.0054.

A sample of 1300 callers is taken, hence n = 1300.

The probability that at least 5 received a busy signal is given by:

$P(X \geq 5) = 1 - P(X < 5)$

In which:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{1300,0}.(0.0054)^{0}.(0.9946)^{1300} = 0.0009$

$P(X = 1) = C_{1300,1}.(0.0054)^{1}.(0.9946)^{1299} = 0.0062$

$P(X = 2) = C_{1300,2}.(0.0054)^{2}.(0.9946)^{1298} = 0.0218$

$P(X = 3) = C_{1300,3}.(0.0054)^{3}.(0.9946)^{1297} = 0.0513$

$P(X = 4) = C_{1300,4}.(0.0054)^{4}.(0.9946)^{1296} = 0.0903$

Then:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0009 + 0.0062 + 0.0218 + 0.0513 + 0.0903 = 0.1705.

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.1705 = 0.8295$

0.8295 = 82.95% probability that at least 5 received a busy signal.

More can be learned about the binomial distribution at brainly.com/question/24863377

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6 0

2 years ago

You hike up a mountain. You climb steadily for 2 hours, then take a 30-minute break for lunch. Then you continue to climb, faste

grandymaker [24]

Answer:

<u>Continuous </u>

Step-by-step explanation:

The graph is considered continuous due to the fact that it can take any amount of height, weight, and temperature. If it was discrete there would be a limit to your hike.

I really hope this helped you, please be sure to make my answer brainiest. Thank you and have a great night sleep / or have a great day! :D

6 0

3 years ago