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Ymorist [56]
2 years ago
5

What is the product of 2 + 3x and 1 – 4x ?

Mathematics
1 answer:
Alenkinab [10]2 years ago
3 0
Think of it as (-4x+1)(3x+2) then distribute: -4x x 3x= -12x^2, -4x x 2= -8x, 1 x 3x = 3x, and 2 x 1=2. put together all the answers we just got so: -12x^2 - 8x +3x +2 then simplify to get -12x^2 -5x +2
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In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there
yan [13]

Answer:

Explained below.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

\mu_{\bar x}=\mu

And the standard deviation of the sample means is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

a

The expected value of the sample mean of their weights is same as the population mean, <em>μ</em> = 1515 lbs.

b

The standard deviation of the sampling distribution of the sample mean weight is:

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{25}{\sqrt{16}}=6.25

c.

The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:

\text{Average Weight}=\frac{2500}{16}=156.25

d

Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:

P(\bar X > 156.25)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{156.25-151}{6.25})\\\\=P(Z>0.84)\\\\=1-P(Z

4 0
2 years ago
12 Write the decimal equivalent of the following: answer in the space. <br>2 5/8=_____​
lidiya [134]

Answer:

2.625

Step-by-step explanation:

2 + 5/8

2 + .625 = 2.625

5/8 = .625

4 0
3 years ago
Read 2 more answers
Can you help on this question can you guys please help me?
Ne4ueva [31]
2b. Add then divide, so 9+8=17, then answer = 17/7 unless you have to write in improper faction.
3b. 5^3= 5 x 5 x 5
8 0
3 years ago
40 POINTS PLEASE HELPPPPPPP ME !
IrinaK [193]

Answer:

75/100

=15/20

3/4

The probability is3/4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the length of the leg x of the right triangle shown below.
Alexus [3.1K]

Answer

9.327

16*16= 256

13*13=169

256-169=87

87 squared=9.32737905309

9.32737905309 ROUNDED TO NEAREST THOUSANDTH= 9.327

3 0
2 years ago
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