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emmainna [20.7K]
3 years ago
14

which ordered pair is a solution to the system?. {x+4y=19. {y=-2x-4. . a) (-5, 6). b) (-2, 0). c) (3, 4). d) (7,3)

Mathematics
1 answer:
jarptica [38.1K]3 years ago
3 0

Apply substitution

x+4(-2x-4)=19

x – 8x – 16 = 19

-7x = 19 + 16

-7x = 35

x = -5

Then substitute this value to the other equation

y=-2x-4

y = -2(-5) – 4

y = 10 – 4

y = 6

the answer is then letter A. (-5,6)

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Answer:

Brian has $776 more account in his account than Chris.

Step-by-step explanation:

Compound interest Formula:

A=P(1+r)^t

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Given that,

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Five years after Brian's investment,Chris invests $10,000 in an account earning 7% interest, compounded annually for 5 years.

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The amount in his account after 5 years is

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From the it is cleared that Brian has $(14802-14026)=$776 more account in his account than Chris.

6 0
2 years ago
Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of grams of fat per pound
STatiana [176]

Complete question is:

Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7 grams of fat per pound. A random sample of 34 farm-raised trout is selected. The mean fat content for the sample is 29.7 grams per pound. Find the probability of observing a sample mean of 29.7 grams of fat per pound or less in a random sample of 34 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Answer:

Probability = 0.0277

Step-by-step explanation:

We are given;

Mean: μ = 32

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To solve this question, we would use the equation z = (x - μ)/(σ/√n) to find the z value that corresponds to 29.7 grams of fat.

Thus;

z = (29.7 - 32)/(7/√34)

Thus, z = -2.3/1.200490096

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From the standard z table and confirming with z-calculator, the probability is 0.0277

Thus, the probability to select 34 fish whose average grams of fat per pound is less than 29.7 = 0.0277

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Answer:

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