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SIZIF [17.4K]
3 years ago
10

Mr. And Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.14

. If they have seven children, what is the probability that at most two of their seven children will have that trait? Round your answer to the nearest thousandth.
Mathematics
1 answer:
poizon [28]3 years ago
8 0

Answer:

0.938

Step-by-step explanation:

From the question :

p = 0.14

Number of children, n = 7

P(x ≤ 2) = P(2) + P(1) + P(0)

Using binomial probability :

P(x =x) = nCx  * p^x * (1 - p)^(n - x)

We could also use the binomial probability calculator :

P(x ≤ 2) = 0.3479 + 0.3965 + 0.1936

P(x ≤ 2) = 0.938

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Simplify x+2/x^2+2x-3 divide by x+2/x^2-x
ira [324]

\dfrac{\frac{x+2}{x^2+2x-3}}{\frac{x+2}{x^2-x}}

If x\neq-2, then we can immediately cancel the factors of x+2:

\dfrac{\frac1{x^2+2x-3}}{\frac1{x^2-x}}=\dfrac{x^2-x}{x^2+2x-3}

Factorize the numerator and denominator:

x^2-x=x(x-1)

x^2+2x-3=(x+3)(x-1)

Next, if x\neq1, then

\dfrac{x^2-x}{x^2+2x-3}=\dfrac{x(x-1)}{(x+3)(x-1)}=\dfrac x{x+3}

8 0
3 years ago
Jonesville and smithville each have a population of size 2600 at time t = ​0, where t is measured in years. Suppose jonesville​'
ehidna [41]

Answer: B. Jonesville is growing linearly and Smithville is growing exponentially.

Step-by-step explanation:

Linear growth :

  • Population grow by a constant amount after each time period.
  • The rate of change of dependent variable with respect to independent variable is a constant.
  • It is represented by line on graph.
  • Equation for linear growth : y=mx+c , c = initial value and m is the rate of change of y with respect to x.

Exponential growth :

  • Population grow by a constant ratio .
  • It is represented by a curve on graph.
  • Equation for exponential growth : y=a(1+r)^x , a = initial value and r is  rate of growth ( in decimal ) and x is time period.

Given : Jonesville​'s population grows by 170 people per year.

i.e .Population grow by a constant amount per year.

⇒ Jonesville is growing linearly.

The population of smithville grows by 7​% per year.

i.e. Population grow by a constant ratio.

⇒Smithville is growing exponentially.

Hence, the true statement is "B. Jonesville is growing linearly and Smithville is growing exponentially."

5 0
3 years ago
I really don't get this please help
Fiesta28 [93]
21 3/16...as a decimal
the 21 is a whole number and goes to the left of the decimal....and the fraction 3/16 goes to the right of the decimal.
3/16 = 0.1875....now add ur 21 and u get 21.1875 inches wide

2 3/8....as a decimal
3/8 = 0.375....now put ur 2 in there and it becomes 2.375 inches thick

4 0
2 years ago
If A = 3x power 2+2y + 2 and B=6x power 2 - 8y + 1 then A+B and A-B​
ollegr [7]

Answer:

see explanation

Step-by-step explanation:

Given A = 3x² + 2y + 2 and B = 6x² - 8y + 1 , then

A + B

= 3x² + 2y + 2 + 6x² - 8y + 1 ← collect like terms

= 9x² - 6y + 3

-------------------------------

A - B

= 3x² + 2y + 2 - (6x² - 8y + 1) ← distribute parenthesis by - 1

= 3x² + 2y + 2 - 6x² + 8y - 1 ← collect like terms

= - 3x² + 10y + 1

5 0
3 years ago
A right triangle has a hypotenuse of 153 centimeters and a leg of 72 centimeters. What is the length of the other leg?
Luba_88 [7]
81 cent.........................................................                                               
7 0
3 years ago
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