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Colt1911 [192]
3 years ago
8

X^2 - 25 = (x + 5) (?)

Mathematics
1 answer:
mixas84 [53]3 years ago
5 0

Answer:

(?) = (x-5)

Step-by-step explanation:

Use difference of squares:

x^2-25=(x+5)(x-5)

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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.

4 0
3 years ago
If A's income is 25% less than that of B, then how much percent is B's income more than that of A?​
saul85 [17]
Let's say that B makes $100.

Then A makes $75.

So, your question then becomes 100 is what percent of 75?

This can be solved by setting up the proportion 100 / 75 = x / 100

75x = 10000

x = 133.3

So, B's income is 33.3% more than A's income.
7 0
3 years ago
Question 7 (Worth 5 points)
svet-max [94.6K]

Answer:

$20.60

Step-by-step explanation:

$25.75 x 20% = $5.15

$25.75 - $5.15 = $20.60

7 0
3 years ago
Read 2 more answers
Find the distance between the points ( - 9, - 12) and (18, - 12)
ANTONII [103]

Hello from MrBillDoesMath!

Answer:

27



Discussion:

By the distance formula (or Pythagorean theorem)

distance =   sqrt ( (change in x)^2 + (change in y)^2)


In our case this becomes

distance =   sqrt (   (18 - (-9) )^2 + (-12 - ( -12))^2)

               =  sqrt (    ( 18 + 9) ^2   + ( -12 + 12) ^ 2)

               =  sqrt (  ( 18 + 9) ^2 + 0^2 )

               = sqrt ( 27^2)

               = 27

 

Geometrically, as both y coordinates = -12, the points define a horizontal line segment. The length is then simply the difference of the x coordinates, 18 - (-9) = 18 +9 = 27. Same answer as before



Thank you,

MrB

4 0
3 years ago
0.05 is 1/10 of what
Gennadij [26K]

Answer:

.5

Step-by-step explanation:

.5 times 1/10 is .05. move the decimal over!

4 0
3 years ago
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