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drek231 [11]
3 years ago
7

The area of a rectangular garden in square feet is x^2+35x-450. The width is (x-10) feet. What is the length of the garden?

Mathematics
1 answer:
Stels [109]3 years ago
7 0
X^2 + 35x - 450
Factor
(x + 45)(x - 10)

(x + 45) is the length

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Priya's cat weighs 5 1/2 pounds and her dog weighs 8 1/4 pounds
tangare [24]

The answer is 2/3 times as heavy as the dog.

Since we are looking for the weight of the cat in relation to the dog's weight, we have to divide the cat's weight by the dog's weight.

5 1/2 = 5.5, 8 1/4 = 8.25.

5.5 / 8.25 = 2/3.

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How do you find slope, y- intercept, slope- intercept form, and point slope form for (-10,-17) (-8,-15.7)
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Answer:

-10=x1 -17=y1

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formula:

y2 -y1

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x2-x1

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Step-by-step explanation:


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Marianna [84]

Answer:

Option D is the correct option.

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In a clinical study, volunteers are tested for a gene that has been found to increase the risk for a disease. The probability th
MrRa [10]

Answer:

a) 0.984

b) 20 people

Step-by-step explanation:

a)

If The probability that a person carries the gene is 0.1, then in a sample of 20 people, 2 should carry the gene.

Now, we want to know how many samples there are with this property.

Since we have 20 elements where 18 are alike (do not carry the gene) and 2 are alike (carry the gene), we have to compute the number of permutations of 20 elements in which 18 are alike and 2 are alike. This number is

\frac{20!}{18!2!}=190

In this 190 20-tuples there are only 3 where the 2 carriers of the gene are in the first 3 places, namely

(1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

(1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

(0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

where 1=carries the gene, 0=does not carry the gene.

So there are 190-3 = 187 elements in which the first 3 elements have no 2 carriers, hence the probability that 4 or more people will have to be tested until 2 of them with the gene are detected is 187/190 = 0.984 (98.4%) rounded to three decimal places.

b)

Given that the probability that a person carries the gene is 0.1, then in a sample of 20 people, 20*0.1 = 2 should carry the gene.

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3 years ago
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