The answer would be 5547
First you multiply 5417 and 2.4% to get 130.008
Then you add 130.008 and 5417 to get 5547.008
but you can round this to 5547
Hope this helped! :)
we conclude that when we evaluate in x = 7, the given expression is equal to 12.
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How to evaluate the expression?</h3>
Here we have the expression:
6*(x - 5)
Which represents the product of 6 and the sum between x and negative 5.
We want to evaluate it in x = 7, that means just replacing the variable in the given expression by the number 7, and then solving the expression.
Let's do that:
6*(7 - 5) = 6*(2) = 12
In this way, we conclude that when we evaluate in x = 7, the given expression is equal to 12.
If you want to learn more about evaluating:
brainly.com/question/4344214
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Answer:
47
Step-by-step explanation:
s = Number of stamps with snowflake design = 14
Number of stamps with truck design is 5 more than snowflake design
![t=s+5\\\Rightarrow t=14+5\\\Rightarrow t=19\ \text{stamps}](https://tex.z-dn.net/?f=t%3Ds%2B5%5C%5C%5CRightarrow%20t%3D14%2B5%5C%5C%5CRightarrow%20t%3D19%5C%20%5Ctext%7Bstamps%7D)
Number of stamps with rose design is 5 fewer than truck stamps
![r=t-5\\\Rightarrow r=19-5\\\Rightarrow t=14\ \text{stamps}](https://tex.z-dn.net/?f=r%3Dt-5%5C%5C%5CRightarrow%20r%3D19-5%5C%5C%5CRightarrow%20t%3D14%5C%20%5Ctext%7Bstamps%7D)
Total number of stamps
![s+t+r=14+19+14\\ =47](https://tex.z-dn.net/?f=s%2Bt%2Br%3D14%2B19%2B14%5C%5C%20%3D47)
So total number of stamps Tommy bought is 47.
Answer: 0.1788
Step-by-step explanation:
We assume that the monthly rent for a one-bedroom apartment without a doorman in Manhattan is normally distribution.
Given : Mean monthly rent : ![\mu=\$\ 2,654](https://tex.z-dn.net/?f=%5Cmu%3D%5C%24%5C%202%2C654)
Standard deviation : ![\sigma=\$\ 500](https://tex.z-dn.net/?f=%5Csigma%3D%5C%24%5C%20500)
Sample size : ![n=100](https://tex.z-dn.net/?f=n%3D100)
Let x be the monthly rent of randomly selected apartment.
Now. we calculate the value of z-score by the formula :
![z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
For x = $2,700
![z=\dfrac{2700-2654}{\dfrac{500}{\sqrt{100}}}=0.92](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B2700-2654%7D%7B%5Cdfrac%7B500%7D%7B%5Csqrt%7B100%7D%7D%7D%3D0.92)
The p-value = ![P(x>2700)=P(z>0.92)](https://tex.z-dn.net/?f=P%28x%3E2700%29%3DP%28z%3E0.92%29)
![1-P(z](https://tex.z-dn.net/?f=1-P%28z%3C0.92%29%3D1-0.8212136%3D0.1787864%5Capprox0.1788)
Hence, the probability that the average rent of the sample is more than $ 2,700 = 0.1788
The pattern that is summed may be written as
S = 1 - 3 + 9 - 27 + . . .
= (-3)^0 + (-3)^1 + (-3)^2 + (3)^3 + . . .
The n-th term in the sum is (-3)^n, for n = 0,1,2,3, . . .
The sum may be written with summation notation as