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enyata [817]
2 years ago
7

Use the distributive properties to create an equivalent expression 9x+21

Mathematics
1 answer:
marishachu [46]2 years ago
3 0

3(3x +7)

find the greatest common factor of both numbers

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Help me with my little brothers test i have a pdf document of the test and i need a answer key!!
mina [271]

Answer:

c

Step-by-step explanation:

it starts at (0,0) and follows the points best

5 0
3 years ago
How can you get the variable alone in the equation x ÷ 9 = 279?
labwork [276]
D

Because to cancel out division you use multiplication
5 0
2 years ago
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.

4 0
3 years ago
Joshua is planning a 1020-mile driving trip. His car gets an average of 30 mpg, and the cost of gas is about $4.06/gallon. What
dolphi86 [110]
30 miles for a single gallon.
first we find out how many gallons would be used.
number of gallons = 1020/30
gallons = 34.
and since 1 gallon costs $4.06
34 gallons would cost = 34 x 4.06 = $138.04
4 0
3 years ago
Read 2 more answers
Ex. 11 An apple computer has a retail price of $1000. Jim's House of Electronics is having a "20%-off sale",
Elina [12.6K]
He would have to pay $560 because if you take 20% off of the computer using the equation 1000 - (1000 * 0.20) you get 800. This means that the 30% coupon is applied to $800, so using the same template as the equation above, we can do 800 - (800 * 0.30) to get a final answer of 560.
8 0
1 year ago
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