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3 years ago

Substitution y=1/2x+2, y=x+1

Mathematics

1 answer:

dem82 [27]3 years ago

6 0

Answer: point form (2,3) and equation form is x=2 y=3

Step-by-step explanation:

would you like for me to explain it for you

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Based on past experience, a telemarketing firm has found that calls to prospective customers take an average of 2.0 minutes, wit

xenn [34]

Answer: Our required probability would be 0.9641.

Step-by-step explanation:

Since we have given that

Number of hours he works a day = 8

So, Number of minutes he worked in a day = $8\times 60=480\ minutes$

Number of calls = 220

So, Average $=\bar{x}=\dfrac{480}{220}=2.18\ minutes$

Standard deviation $=s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1.5}{\sqrt{220}}=0.10$

Mean = μ = 2.0 minutes

Standard deviation = σ = 1.5 minutes

Using the normal distribution, we get that

$z=\dfrac{\bar{x}-\mu}{s}\\\\z=\dfrac{2.18-2.0}{0.10}\\\\z=1.8$

So, the probability that Albert will meet or exceed his quota would be

$P(X\leq 2.18)=P(z\leq 1.8)=0.9641$

Hence, our required probability would be 0.9641.

6 0

3 years ago

Simplify 12/5(10/3b+15/4) .

Elodia [21]

Step 1. Simplify 10/3b to 10b/3
12/5(10b/3 + 15/4)
Step 2. Distribute
8b + 9

7 0

3 years ago

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A typist types at the rate of 88 words in 3 minutes. What is her typing rate per minute?

Roman55 [17]

Answer:29.3

Step-by-step explanation: 88/3

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3 years ago

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Rewrite using a single positive exponent.<br> 78<br> 73

vivado [14]

Hey! I don’t know if this is what you mean.. but I tried to understand it.

78^1
73^1

Have a good day :)

3 0

3 years ago

Describe the diagram

Tasya [4]

Answer:

The diagram reprents the 3 sets and the universal set . The shaded portion clearly can be seen as :

$A \cap B \cap C + A - (A \cap B) - (A \cap C) + A \cap B \cap C + C - (C \cap B) - ( C \cap A) + (A \cap B \cap C)$

Shaded region = $3(A \cap B \cap C) + A + C - (A \cap B) - 2(A \cap C) - (C \cap B)$

Try to understand some what complex

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3 years ago

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