First you need to distribute the exponent into the terms for the first parenthesis.
(-3x²y³)³ = (-3)³ * (x²)³ * (y³)³
= -27 *x⁶ *y⁹
= -27x⁶y⁹
Then you multiply -27x⁶y⁹ by x²y.
You just need to add the exponents of x and y:
-27x⁶⁺²y⁹⁺¹
= -27x⁸y¹⁰
Answer: none of those, 276...?
Step-by-step explanation:
You need to know the least common denominator (LCD) of 12 and 23 if you want to add or subtract two fractions with 12 and 23 as denominators.
The least common denominator, also called lowest common denominator (LCD), of 12 and 23 is 276.
Here is a math problem example where you need to know the LCD of 12 and 23 to solve:
3/12 + 2/23 = ?
Step 1) Take the LCD and divide each denominator by it as follows:
276/12 = 23
276/23 = 12
Step 2) Multiply each nominator with the respective answers from Step 1:
3 x 23 = 69
2 x 12 = 24
Step 3) Put it all together to solve the problem:
69/276 + 24/276 = 93/276
= 3/12 + 2/23 = 93/276
It's that easy! Once again, the lowest common denominator (LCD) of 12 and 23 is as follows:
276
The probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.
Given mean of 30 minutes and standard deviation of 7.5 minutes.
In a set with mean d and standard deviation d. , the z score is given as:
Z=(X-d)/s.
where d is sample mean and s is standard deviation.
We have to calculate z score and then p value from normal distribution table.
We have been given d=30, s=7.5
p value of Z when X=44 subtracted by the p value of Z when X=16.
When X=44,
Z=(44-30)/7.5
=14/7.5
=1.87
P value=0.9686
When X=16
Z=(16-30)/7.5
=-1.87
P Value=0.0314.
Required probability is =0.9686-0.0314
=0.9372
=93.72%
Hence the probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.
Learn more about z test at brainly.com/question/14453510
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