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Alekssandra [29.7K]
3 years ago
13

Factor the expression completely. 54 – 24x​

Mathematics
1 answer:
ioda3 years ago
7 0

Answer:

6(9-4x)

Step-by-step explanation:

Factor 6 out of 54-24x, or group and factor out the GCF. Hope this helps!

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In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviatio
almond37 [142]

Answer:

0.010

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score = 63 inches

μ is the population mean = 70 inches

σ is the population standard deviation = 3 inches

For x shorter than 63 inches = x < 63

Z score = x - μ/σ

= 63 - 70/3

= -2.33333

Probability value from Z-Table:

P(x<63) = 0.0098153

Approximately to the nearest thousandth = 0.010

Therefore, the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth is 0.010.

3 0
3 years ago
Which graph represents a function
tino4ka555 [31]
The last one represents a function ..
4 0
3 years ago
Read 2 more answers
(c) Simplify 12x+y" (* x*')
shepuryov [24]

Answer:

12x + yx

= 12x + xy

= ans = xylem + 12x

7 0
3 years ago
1. A waste management service attempts to design routes so that each of their trucks pick-up on average four tons of garbage or
Galina-37 [17]

Answer:

We conclude that garbage collector's average picking is more than four tons of garbage per day.

Step-by-step explanation:

We are given the following information n the question:

First, we design the null and the alternate hypothesis

H_{0}: \mu \leq 4\text{ tons}\\H_A: \mu > 4\text{ tons}

Significance level = 5% = 0.05

P-value = 0.04

  • The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.
  • P values evaluate how well the sample data support that the null hypothesis is true.
  • P-value is a measure or indicator that helps us to know that whether the sample belongs to the population or not.
  • Null hypothesis states that the sample belongs to the population.
  • A high p-values states that the null hypothesis is true ad the sample belongs to the population.ll.
  • A low p-value suggests that sample provides enough evidence that you the null hypothesis is not true and the sample does not belong to the population.
  • We compare p-value to significance level to obtain our result.

Here,

p-value = 0.04 < Significance level = 0.05

Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject it. That is there were enough evidence to support the fact that sample does not belong to the population and we conclude that garbage collector's average picking is more than four tons of garbage per day.

6 0
3 years ago
Why is the answer E?
bearhunter [10]

Step-by-step explanation:

The only way the answer could be E is if the x² term under the radical is supposed to be t².

f(x) = ∫₄²ˣ √(t² − t) dt

f'(x) = √((2x)² − 2x) (2)

f'(x) = 2√(4x² − 2x)

f'(2) = 2√(4(2)² − 2(2))

f'(2) = 2√12

3 0
4 years ago
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