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3 years ago

The sum of 3 consecutive even numbers is 132pleaase help!!!

Mathematics

2 answers:

shtirl [24]3 years ago

6 0

Answer: 42, 44, and 46

Explanation: Make sure you read through the problem carefully so that you recognize that we are dealing with consecutive even numbers here.

So we can represent our numbers as follows.

X ⇒ first even integer

X + 2 ⇒ second even integer

X + 4 ⇒ third even integer

Since their sum is 132, our equation reads x + (x + 2) + (x + 4) = 132.

Solving from here, we find that x = 42.

So x + 2 is 44 and x + 4 is 46.

agasfer [191]3 years ago

5 0

Answer:

42,44,46

Step-by-step explanation:

we first divide the 132 by the 3 which gives 44

since the numbers involved are even numbers and we know even numbers are numbers divisible by 2 we subtract 2 from the 44 and also add 2 to the 44 the get the rest of the two numbers which is from the above explanation

(44-2),44,(44+2)

42,44,46

we can check whether the above numbers are correct by adding to see whether we get 132

42+44+46=132 which are consecutive even numbers

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Which of the following statements regarding Pascal's triangle are correct?

tia_tia [17]

Answer:

Option A, C and D are correct.

Step-by-step explanation:

Option A is correct because if we take example of $(x+y)^3$ we get:

1,2,1

1,3,3,1

1,4,6,4,1

So we can see that either we read left to right or right to left we are getting same row

Option B is not correct because When we take power zero it will occupy first row hence, $(x+y)^n$ is not given by nth row.

Option C is correct because adding adjacent terms on a will give us the term directly below look at the example in option A.

Option D is correct because nth row will give coefficients in the expansion of (x + y) n-1 since, zero will occupy first row hence, nth row will be n-1.

5 0

3 years ago

Read 2 more answers

At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain a mean of 519 ml. The filling process follows a n

k0ka [10]

Answer:

1) The normal distribution should be used for the sample mean because the population distribution is known to be normal (answer b).

2) C. H0: mu = 519, H_1: mu not equal to 519, reject if z> 1.96 or z< -1.96.

3) Yes. There is enough evidence to support the claim that the true mean is not 519 ml.

Step-by-step explanation:

1) When the population follows a normal distribution, it is correct to assume a normal distribution for the sample mean.

2) As it is a two-tailed decision rule, we are interested in detecting a significant difference below and above the mean. This is why we use the unequal sign in the alternative hypothesis.

The null hypothesis state that there is not significant difference from 519.

The critical value for a significance level of 5% is z=1.96.

$H_0: \mu=519\\\\H_a:\mu\neq 519$

3) The claim is that the true mean is not 519 ml.

Then, the null and alternative hypothesis are:

$H_0: \mu=519\\\\H_a:\mu\neq 519$

The significance level is 0.05.

The sample has a size n=16.

The sample mean is M=522.

The standard deviation of the population is known and has a value of σ=6.

We can calculate the standard error as:

$\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{16}}=1.5$

Then, we can calculate the z-statistic as:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{522-519}{1.5}=\dfrac{3}{1.5}=2$

This test is a two-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=2\cdot P(z>2)=0.046$

As the P-value (0.046) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the true mean is not 519 ml.

7 0

3 years ago

Simplify as far as possible. 7 √ 5 − 3 √ 5

ElenaW [278]

Answer:

4 sqrt(5)

Step-by-step explanation:

7 sqrt(5) - 3 sqrt(5)

These are like terms so we can subtract

4 sqrt(5)

3 0

3 years ago

If you have a two digit divisor and a three digit dividend does the quotient always have the same number of digits explain

saul85 [17]

"The answer is no because If you have 2 digit divisor and 3 digit dividend, you cannot be sure that the number of digits in the quotient will always be the same.

3 0

3 years ago

Help pls!!ty!!:))):):

Bess [88]

Answer:

Step-by-step explanation:

y = 85x+90

3) 85*3+90 (rule)

y= 85*3 = 255 + 90 = 345 (output)

4) 85*4+90 (rule)

y = 85*4= 340 + 90 = 430 (output)

5 0

3 years ago