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Fudgin [204]
3 years ago
15

Justify each step of this inequality by stating the property that was used to get to each step.

Mathematics
1 answer:
Allushta [10]3 years ago
6 0

Answer:

Step-by-step explanation:

step 1 simplified like terms -11k +3k =8k

step 2 incorrect should be -4k -20 on the left side distributive property

step 3 added 8k to each side

step 4 added 20 to each side

step 5 divided each side by 4

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How many different committees can be formed from 11 teachers and 49 students if the committee consists of 2 teachers and 4 stude
olganol [36]
The number of combinations is the product of the number of choices for each selection...

c=11*10*49*48*47*46=559,352,640
8 0
3 years ago
At a concert, 20% of the audience members were teenagers. if the number of teenagers at a concert was 360, what was the total nu
Harlamova29_29 [7]

Answer:

The total number of audience members is 1800.

Step-by-step explanation:

In order to find this, we need to divide the number of teenagers by the percentage share.

360/.2 = 1800

7 0
3 years ago
The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second. Use the central limi
Mila [183]

Answer:

0.048 is the probability that more than 950 message arrive in one minute.

Step-by-step explanation:

We are given the following information in the question:

The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second.

Let X be the number of messages arriving at a multiplexer.

Mean = 15

For poison distribution,

Mean = Variance = 15

\text{Standard Deviation} = \sqrt{\text{Variance}} = \sqrt{15} = 3.872

From central limit theorem, we have:

z = \displaystyle\frac{x-n\mu}{\sigma\sqrt{n}}

where n is the sample size.

Here, n = 1 minute = 60 seconds

P(x > 950)

P( x > 950) = P( z > \displaystyle\frac{950 - (60)(15)}{\sqrt{(15)(60)}}) = P(z > 1.667)

= 1 - P(z \leq 1.667)

Calculation the value from standard normal z table, we have,  

P(x > 950) = 1 - 0.952 = 0.048

0.048 is the probability that more than 950 message arrive in one minute.

3 0
3 years ago
You are given f(x)=-5x2+10x-5
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Answer:

B

Step-by-step explanation:

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Answer:

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B : Trapezius!

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