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Nat2105 [25]
2 years ago
12

Color blindness is an inherited characteristic that is more common in males than in females. If M represents male and C represen

ts red-green color blindness, using the relative frequencies of the incidences of males and red-green color blindness as probabilities results in the values below. P(C)=0.042, P ( M intersect C)=0.022, P ( M union C)=0.412What is the probability that a randomly selected person is not color blind?
Mathematics
1 answer:
DerKrebs [107]2 years ago
4 0

Answer:

The probability that a randomly selected person is not color blind is 0.958

Step-by-step explanation:

Given,

C represents red-green color blindness,

Also, the probability that a randomly selected person is color blind,

P(C) = 0.042,

Thus, probability that a randomly selected person is not color blind,

P(C') = 1 - P(C) = 1 - 0.042 = 0.958

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The average annual costs for owning two different refrigerators for x years is given by the two functions: f(x) = 850 + 62x /x a
Alex17521 [72]

Answer:

In the long run cost of the refrigerator g(x) will be cheaper.

Step-by-step explanation:

The average annual cost for owning two different refrigerators for x years is given by two functions

f(x) = \frac{850+62x}{x}

     = \frac{850}{x}+62

and g(x) = \frac{1004+51x}{x}

             = \frac{1004}{x}+51

If we equate these functions f(x) and g(x), value of x (time in years) will be the time by which the cost of the refrigerators will be equal.

At x = 1 year

f(1) = 850 + 62 = $912

g(1) = 1004 + 51 = $1055

So initially f(x) will be cheaper.

For f(x) = g(x)

\frac{850}{x}+62 = \frac{1004}{x}+51

\frac{1004}{x}-\frac{850}{x}=1004-850

\frac{154}{x}=11

x = \frac{154}{11}=14

Now f(15) = 56.67 + 62 = $118.67

and g(x) = 66.93 + 51 = $117.93

So g(x) will be cheaper than f(x) after 14 years.

This tells below 14 years f(x) will be less g(x) but after 14 years cost g(x) will be cheaper than f(x).

5 0
1 year ago
Read 2 more answers
In right triangle ABC, angle A and angle B are complementary angles. The value of cos A is 9/41. What is the value of sin B?
Margaret [11]
SinB = 9/41

I explained my reasoning down below

5 0
2 years ago
There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun one time, what is the probability that the
alexira [117]

Answer:

1/3

Step-by-step explanation:

Of the numbers between 1 and 12, the numbers that are multiples of 4 or 6 are: 4, 6, 8, 12.

So the probability is 4/12, or 1/3.

3 0
2 years ago
Question 1/10
MrRissso [65]
I pound of carrots would cost 13 pounds
7 0
1 year ago
Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below. 4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x
OLga [1]

Solving an equation means finding the value of x which will make the equation true.

We need to undo whatever is done to x to get it by itself.

4(x-1)-x = 3(x + 5)-11\\Distributing \; 4 \; and \; 3 \; in \; right \; and \; left \; side \; of \; the \; equation\\\\ 4x-4-x=3x+15-11\\Combine \; like \; terms\\\\3x-4=3x+4\\Subtract \; 3x \; on \; both \; sides\\\\3x-3x-4=3x-3x+4\\ Combine \; like \; terms\\\\-4=4

Conclusion:

Since we end up with an equation which is not TRUE, there is NO solution for this equation. If we graph both the equations, they will end up as a parallel lines which will never meet.

4 0
1 year ago
Read 2 more answers
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