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Oksanka [162]
3 years ago
6

How do i factor the following expression 16z^2-25

Mathematics
2 answers:
polet [3.4K]3 years ago
7 0
This is the same as a^{2}- b^{2}
it factorizes into (a-b)(a+b)
so root of 16z^2 would be 4z
root of 25 would be 5
so factorizing it will give you
(4z - 5)(4z + 5)
mart [117]3 years ago
3 0
16z^2-25=0
(4z)^2-(5)^2=0
This is in the form of a^2-b^2=(a+b)(a-b)
(4z)^2-(5)^2=(4z+5)((4z-5)
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An office building has 23 offices. The floor area of each office is 305 square feet. Which shows the equation you can use to fin
Mumz [18]

Answer: D.23 x 305 = n, n = 7015

Step-by-step explanation:

23 x 305 = 7015

7015 square feet

3 0
3 years ago
What is 56.6 repeating when rounded to the nearest .1
vesna_86 [32]
56 6 repeating when rounded to the nerest .1 is 56.7
8 0
3 years ago
Every day, Luann walks to the bus stop and the amount of time she will have to wait for the bus is between 0 and 12 minutes, wit
Nana76 [90]

Answer:

a. 341.902.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

n instances of a normal variable:

For n instances of a normal variable, the mean is n\mu and the standard deviation is s = \sigma\sqrt{n}

60 days, for each day, mean 6, variance of 12.

So

\mu = 60*6 = 360

s = \sqrt{12}\sqrt{60} = 26.8328

What is the 25th percentile of her total wait time over the course of 60 days?

X when Z has a p-value of 0.25, so X when Z = -0.675.

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

-0.675 = \frac{X - 360}{26.8328}

X - 360 = -0.675*26.8328

X = 341.902

Thus, the correct answer is given by option A.

3 0
2 years ago
Following are heights, in inches, for a sample of college basketball players. 78 83 82 78 78 80 81 79 79 83 77 78 84 82 80 80 82
blagie [28]

The mean height of the basketball players is 80.3 inches

For given question,

we have been given the list of heights, in inches, for a sample of college basketball players.

We need to find the mean height of the basketball players.

We know that, for given sample of data

mean = sum of all observations ÷ total number of observation

First we find the sum of given heights.

78 + 83 + 82 + 78 + 78 + 80+ 81 +79+ 79 +83+ 77 +78+ 84+ 82+ 80+ 80 +82+ 84+78+ 80 = 1606

Total number of observations = 20

Using the formula of mean,

⇒ mean height = 1606/20

⇒ mean height = 80.3 inches

Therefore, the mean height of the basketball players is 80.3 inches

Learn more about the mean here:

brainly.com/question/6813742

#SPJ4

3 0
1 year ago
A 14.5-gallon gasoline tank is full. How many gallons will it take to fill the tank? Write your answer as a mixed number.
Elena L [17]

Answer:

it will take 3 5/8 of gas to fill the tank

Step-by-step explanation:

14 1/2 - 10 7/8 can be re-written using improper fractions

29/2 - 87/8 We need a common denominator, which is 8

116/8 - 87/8 = 29/8 = 3 5/8 gal

7 0
3 years ago
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