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kobusy [5.1K]
3 years ago
8

Simplify the expression: 2+(a +5) =

Mathematics
2 answers:
nekit [7.7K]3 years ago
6 0
Answer:

a+7

Step-by-step explanation:

2 + 5 = 7
7+a or a+7
Nataliya [291]3 years ago
6 0

Answer:

a=-7

Step-by-step explanation:

first we do commutative property of real number

the expression becomes ;

2+(7+a)=

then association property follow-up

(2+7)+a=

7+a=

then we minus 7 to both sides

7-7+a=-7

0+a=-7

a=-7

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The time a randomly selected individual waits for an elevator in an office building has a uniform distribution with a mean of 0.
Amiraneli [1.4K]

Answer:

The mean of the sampling distribution of means for SRS of size 50 is \mu = 0.5 and the standard deviation is s = 0.0409

By the Central Limit Theorem, since we have of sample of 50, which is larger than 30, it does not matter that the underlying population distribution is not normal.

0% probability a sample of 50 people will wait longer than 45 seconds for an elevator.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size, of at least 30, can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 0.5, \sigma = 0.289

What are the mean and standard deviation of the sampling distribution of means for SRS of size 50?

By the Central Limit Theorem

\mu = 0.5, s = \frac{0.289}{\sqrt{50}} = 0.0409

The mean of the sampling distribution of means for SRS of size 50 is \mu = 0.5 and the standard deviation is s = 0.0409

Does it matter that the underlying population distribution is not normal?

By the Central Limit Theorem, since we have of sample of 50, which is larger than 30, it does not matter that the underlying population distribution is not normal.

What is the probability a sample of 50 people will wait longer than 45 seconds for an elevator?

We have to use 45 seconds as minutes, since the mean and the standard deviation are in minutes.

Each minute has 60 seconds.

So 45 seconds is 45/60 = 0.75 min.

This probability is 1 subtracted by the pvalue of Z when X = 0.75. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.75 - 0.5}{0.0409}

Z = 6.11

Z = 6.11 has a pvalue of 1

1-1 = 0

0% probability a sample of 50 people will wait longer than 45 seconds for an elevator.

8 0
3 years ago
half of an integer exceeds one _ third of the next integer by unity .Find the integer. please ask fast​
gulaghasi [49]

9514 1404 393

Answer:

  8

Step-by-step explanation:

If the integer is n, half of it is n/2. The next integer is (n+1) and 1/3 of it is (n+1)/3. You want ...

  n/2 - (n+1)/3 = 1

  n(1/2 -1/3) -1/3 = 1

  n/6 = 4/3 . . . . . . . . add 1/3, simplify

  n = 6(4/3) = 8

The integer is 8.

6 0
3 years ago
Assuming she worked at a constant rate, how many rows had been completed before Elena started working?
tatyana61 [14]

The answer is 12 :)

5 0
3 years ago
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1489 x 390 + 65 /2 =<br> plz put the answer in word form and explain how u got this answer
Oksanka [162]

Answer:

580742.5, in words: five hundred eighty thousand seven hundred forty-two and a half.

Multiply: 1489 * 390 = 580710

Divide: 65 / 2 = 32.5

Add: 580710+32.5 = 580742.5

4 0
3 years ago
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I just need the answer bru why’s it gotta Make write 20 words‍♂️ this is dumb as hell bru‍♂️
TiliK225 [7]

Answer:

11

Step-by-step explanation:

W^7/W^-2=W^7+2=W^9 ( when divide subtract the exponent (7-(-2))

W^?/W² = W^?-2

W^9=W^(?-2)

9=?-2

?=11

W^7/W^-2 = W^11/W²

5 0
3 years ago
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