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Semenov [28]
3 years ago
11

Is (8, 3) a solution to the system? - 2 + 4y = 4 - 2 + 3y = 1

Mathematics
1 answer:
AURORKA [14]3 years ago
3 0

Answer:

No, it's not a solution.

Step-by-step explanation:

-2 + 4(3) = 4

-2 + 12 = 10

-2 + 3(3) = 1

-2 + 9 = 7

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kozerog [31]
If you need 30 teaspoons you’ll need 5 ounces of vanilla extract.
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2 years ago
Read 2 more answers
I need the answer for a & b
Licemer1 [7]

Answer:

a. 2.14% should have IQ scores between 40 and 60

b. 15.87% should have IQ scores below 80

Step-by-step explanation:

* Lets explain how to solve the problem

- For the probability that a < X < b (X is between two numbers, a and b),

 convert a  and b into z-scores and use the table to find the area

 between the two z-values.

- Lets revise how to find the z-score

- The rule the z-score is z = (x - μ)/σ , where

# x is the score

# μ is the mean

# σ is the standard deviation

* Lets solve the problem

- IQS are normally distributed with a mean of 100 and standard

 deviation of 20

∴ μ = 100 and σ = 20

a.

- The IQS is between 40 and 60

∴ 40 < X < 60

∵ z = (x - μ)/σ

∴ z = (40 - 100)/20 = -60/20 = -3

∴ z = (60 - 100)/20 = -40/20 = -2

- Use the z table to find the corresponding area

∵ P(z > -3) = 0.00135

∵ P(z < -2) = 0.02275

∴ P(-3 < z < -2) = 0.02275 - 0.00135 = 0.0214

∵ P(40 < X < 60) = P(-3 < z < -2)

∴ P(40 < X < 60) = 0.0214 = 2.14%

* 2.14% should have IQ scores between 40 and 60

b.

- The IQS is below 80

∴ X < 80

∵ z = (x - μ)/σ

∴ z = (80 - 100)/20 = -20/20 = -1

- Use the z table to find the corresponding area

∵ P(z < -1) = 0.15866

∵ P(X < 80) = P(z < -1)

∴ P(X < 80) = 0.15866 = 15.87%

* 15.87% should have IQ scores below 80

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3 years ago
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Rudiy27

Answer:

The answer is 561 square mm.

Step-by-step explanation:

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3 years ago
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lora16 [44]

Answer:

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Now that we know they both worked 12 hours, we can just add back the 7 hours Katya worked.

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So the answer to how many hours katya worked will be:

<u>19 hours</u>

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Answer:

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