Answer:
0.9959 = 99.59% probability that a randomly chosen person of European ancestry does not carry an abnormal CF gene given that he /she tested negative.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Tested negative
Event B: Does not carry an abdornal CF gene.
Probability of a negative test:
10% of 1/25 = 0.04 = 4%
100% of 100 - 4 = 96%. So
[tex]P(A) = 0.1*0.04 + 1*0.96 = 0.964[/tex]
Negative test and not carrying an abdornal gene:
100% of 96%. So
[tex]P(A \cap B) = 1*0.96 = 0.96[/tex]
Compute the probability that a randomly chosen person of European ancestry does not carry an abnormal CF gene given that he /she tested negative.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.96}{0.964} = 0.9959[/tex]
0.9959 = 99.59% probability that a randomly chosen person of European ancestry does not carry an abnormal CF gene given that he /she tested negative.
I’ll mark you!!! (I got 5 but I just wanna check my answer to see if we got the same answer)
Answer:
I think its B but I'm not 100% sure
Answer:
Its 20 buckets.
Step-by-step explanation:
When a certain basketball player takes his first shot in a game he succeeds with prob. 1/3. If he misses his first shot, he loses confidence and his second shot will go with prob. 1/4. If he misses his first 2 shots, his third shot will go with pro. 1/5. If he misses his first 3 shots, his fourth shot will go with prob. 1/6. If he misses his first 4 shots, the coach will remove hom from the game. Assume that the player keeps shooting until he succeeds or he is removed from the game. Let X denote the number of shots he misses until his first success or until he is removed from the game.
Required:
a. Compute the p.m.f. of X
b. Compute E[X]
Answer:
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) = 1.9
Step-by-step explanation:
From the question above:
X ; number of misses
For :
X = 0 ; P(X = 0) = 1/3 = 0.333
X = 1 ; misses first ; succeeds on second
P(X = 1) = 2/3 * 1/4 = 2/12 = 1/6 = 0.167
X = 2 ; misses first, misses second, succeeds on third
P(X = 2) = 2/3 * (1 - 1/4) * 1/5 = 2/3*3/4*1/5 = 6/60 = 1/10 = 0.10
X = 3 :misses first, misses second, misses third succeeds on fourth
P(X = 3) = 2/3 * 3/4 * (1 - 1/5) * 1/6 = 2/3*3/4*4/5*1/6 = 24/360 = 0.067
X= 4
P(X =4) = 2/3 * 3/4 * 4/5 * 5/6 = 120/ 360 = 1/3 = 0.333
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) :
Σx*p(x) = (0*0.333) + (1*0.167) + (2*0.100) + (3*0.067) + (4*0.333)
0 + 0.167 + 0.2 + 0.201 + 1.332
= 1.9
For the function f(x) = -3sin(x) + 2, the distance between the maximum and minimum values is 6. Which statement must be true about this function? HINT: It's not B.
A. The amplitude is 3.
B. The midline is y = 3.
C. The period of the function is 3pi.
D. The range is [-3, 3].
Answer: A. The amplitude is 3.
Step-by-step explanation:
Given function : [tex]f(x) = -3sin(x) + 2[/tex]
Period of a sine function is [tex]2\pi.[/tex]
Since [tex]-1\leq \sin x \leq 1[/tex]
[tex]\Rightarrow\ -3\leq -3\sin x\leq 3\\\\\Rightarrow\ -3+2\leq -3\sin x+2\leq 3+2\\\\\Rightarrow\ -1\leq -3\sin x+2\leq 5[/tex]
i.e. Range is [-1,5]
Amplitude = 3 [coefficient of sin x]
Only option A. is correct.
ASAP HW HELP
if you don’t know answer don’t even comment
Answer: [tex]y = \frac{1}{2}x+3[/tex]
This is the same as writing y = (1/2)x + 3
========================================================
Explanation:
Two points on the blue line are (0,3) and (2,4)
To go from the left point to the right, we go up 1 and over to the right 2.
Slope = rise/run = 1/2
Or we can use the slope formula to get the same value
m = (y2-y1)/(x2-x1)
m = (4-3)/(2-0)
m = 1/2
The y intercept is b = 3 because this is the location on the vertical y axis where the blue line crosses. This is the location (0,3).
With m = 1/2 and b = 3, we go from y = mx+b to y = (1/2)x + 3
On a piece of paper, that would look like the equation [tex]y = \frac{1}{2}x + 3[/tex]
i need your help with math please help
Answer: 1) y= 9, 4, 1, 0, 1, 4, 9
Step-by-step explanation:
Solve for x
-2a+7-3(-9-4a)
Answer: a=-3.4
Step-by-step explanation: you mean solve for a:)
-2a+7-3(-9-4a)=0 We would have to equal this equation to 0
-2a+7+27+12a=0 We multiply the -3 with the parentheses
10a+34=0 Add the like terms, and subtract 34 from both sides
10a=-34 Then divide both sides by 10
a=-3.4
f(2)=−14 and g(2)=13 Find (f+g)(2).
Answer: The value of (f+g)(2) = -1
Step-by-step explanation:
Given: f(2)=-14 and g(2)=13
To find: (f+g)(2)
Addition of two functions:
(f+g)(x) = f(x)+g(x)
Then, (f+g)(2) = f(2)+g(2)
(f+g)(2) = -14+13 [given]
(f+g)(2) = -1
Therefore , the value of (f+g)(2) = -1
Which value is nearest to 8? Show thinking in the space provided.
7.511 155/20 8.3%
Answer:
155/20
Step-by-step explanation:
155/20 in decimal form is 7.75, which is only 0.25 off of 8
7.511 is 0.489 off of 8
8.3% is technically not anywhere near 8 because a percentage needs to be a percentage of something in order to make sense.
what is the slope of equation y=1/3x
Answer:
1/3
Step-by-step explanation:
Hey There!
The slope of y=1/3x is 1/3
The number right in front of the x is the slope
Hope this helps :)
What is this question ?
The bottom of a circular swimming pool with a diameter of
9 meters is painted blue. How many square meters are blue?
Answer: hi
Step-by-step explanation: sorry needed points
Please help I need it! Will give brainliest
Answer:
74880
or if your doing addition
44
Step-by-step explanation:
6*12*4*4*5*13
6+12+4+4+5+13
Answer:
the area is 44
Step-by-step explanation:
the reason for it is because 13+5+4+4+12+6=44
Find the missing side. Answer without units
Pls help
Answer:
3
Step-by-step explanation:
Hope This Helps :)
Plz Mark Brainliest !
Which graph represents the solution to (x – 3)2 + (y + 4)2 > 36?
Answer:
second choice
Step-by-step explanation:
edge
The region outside the circle is under the consideration. Then the correct option is B.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x – h)² + (y – k)² = r²
The inequality equation of the graph is given below.
(x – 3)² + (y + 4)² > 36
(x – 3)² + (y + 4)² > 6²
From the equation, the radius of the circle will be 6 units and the center of the circle will be (3, –4).
The region outside the circle is under the consideration.
Then the correct option is B.
The graph is given below.
Learn more about the equation of a circle here:
https://brainly.com/question/10165274
#SPJ5
1. What is solution to 0.2(6x - 12) = 0.3(6 - 4x)
Answer:
x = 1.75Explanation:
0.2(6x - 12) = 0.3(6 - 4x)
Simplify both sides of the equation0.2(6x − 12) = 0.3(6 − 4x)
(0.2)(6x) + (0.2)(−12) = (0.3)(6) + (0.3)(−4x) (Distribute)
1.2x + −2.4 = 1.8 + −1.2x
1.2x − 2.4 = −1.2x + 1.8
Add 1.2x to both sides1.2x − 2.4 + 1.2x = −1.2x + 1.8 + 1.2x
2.4x − 2.4 = 1.8
Add 2.4 to both sides2.4x − 2.4 + 2.4 = 1.8 + 2.4
2.4x = 4.2
Divide both sides by 2.42.4x / 2.4 = 4.2 / 2.4
x = 1.75Mr.Rivera can grade 8 math tests in 10 minutes what is the teachers unit rate?
Answer:
0.8
Step-by-step explanation:
Answer: 1 minute and 25 seconds
Step-by-step explanation:
Question 5 of 10 For what value of x is the rational expression below equal to zero? (x-3)(x + 1 A-3 B. -1 C. 1 D. 3
Answer:
x = 3
Step-by-step explanation:
(x - 3) (x - 1) = 0
(x * x) - 2x + 3 = 0 ( quadratic equation)
[tex] {a}^{2} + bx + 3 = 0[/tex]
by the formula above (on the pic) x = 0
you can check it!
Augustus ruled the roman empire from 27 BC to AD 14.For how many years did he rule?
Answer:
40 years
Step-by-step explanation:
He was also the first Roman Emperor
How many solutions does 5x+24=5(x+5)
Answer:
There are no solutions.
9x^3−64 to factored form
Answer: its 3(3x^3-8)
Step-by-step explanation:
HELP PLEASE
68 POINTS!
BRAINLIEST
You can zoom in on the photo for it to be clearer!!
PLEASE SOLVE AND EXPLAIN !!!
Answer:
3.46
Step-by-step explanation:
how many solutions does y equals -6x - 7 have
Answer:
Infinitely many solutions.
Step-by-step explanation:
x can be any number, and the y will change with x.
What Is the dependent variable the shoe size or the height
Answer:
The dependent variable is the shoe size
Step-by-step explanation:
Please hurry I have 2 weeks of school left I need to pass
Answer:
41.5 hours
Step-by-step explanation:
310.42 divided by 7.48 = 41.5 hours
Look at the picture please!!!!
Answer for 1:
8x + 10
Answer for 2:
2x + 1
Answer for 3:
-3x - 15
Answer for 4:
2x + 10
Answer for 5:
-3x - 5
Answer for 6:
-17x - 3
Answer for 7:
8x - 18
Answer for 8:
-x + 4
Answer for 9:
4.8x + 5.6
Answer for 10:
1.25x + 1
Answer for 11:
The Dolphins won 7x + 10 more points than the Jaguars
Answer for 12:
The sandwich costs x + 1.01 more than the drink
Answer for 13:
Tuition costs 7x + 25 more than fees
Tuition costs 7x + 72 more than rooms and board
Answer:
1. 9x squared + 34x +21
2. 2x + 1
3. -3x + 15
4. 2x + 10
5. 14x + 3
6. -17x - 3
7. 8x- 18
8. -x + 4
9. -4.8x + 5.6
10. -1.25x + 0.2
11. 7x-4
12. x + 1.01
13. 6x + 22
I think these are the correct answers. Sorry if I'm wrong. I hope this helped!
Step-by-step explanation:
If f(x) = x* and g(x) = 3+8x?, find g(f(x)).
g(8x-3)=x
have a good day
A regular hexagon is shown below. Find the value of x.
(11x + 21)°
Answer:
x=9
Step-by-step explanation:
The expression is for the interior angle of the hexagon; one interior angle is equal to .
Since an interior angle of a hexagon measures 120°, we have the equality
.
Now it is just a matter of solving for
11x=120-21
11x=99
x=99/11
x=9
The value of {x} for the hexagon shown is 9.
What is Hexagon?A hexagon is a polygon with 6 equal sides. The perimeter of a hexagon is the sum of all the six lengths. The measure of the interior angle of a hexagon is 120 degrees.
Given is to find the value of {x} in the Hexagon shown below.
The measure of the internal angle of a hexagon is 120 degrees. So, we can write -
(11x + 21) = 120
11x = 120 - 21
11x = 99
x = 9
Therefore, the value of {x} for the hexagon shown is 9.
To solve more questions on HEXAGONS, visit the link below-
https://brainly.com/question/14372779
#SPJ3
Determine the intercepts of the line.
y + 5 = 2(x + 1)
y-intercept:
T-intercept:
Answer:
3 5 minus 2 equal 3 plus 1 equals 4
Select the term for what a manufacturer spends for goods or services.
A.
cost
B.
price
C.
markup
Answer:
A: Cost
Step-by-step explanation:
Plato