In the general population, one woman in eight will develop breast
cancer. Research has shown that 1 woman in 600 carries a mutation of
the BRCA gene. Eight out of 10 women with this mutation develop
breast cancer.
a) Find the probability that a randomly selected woman will develop
breast cancer given that she has a mutation of the BRCA gene. b) Find the probability that a randomly selected woman will carry the mutation of the BRCA gene and will develop and will develop breast cancer? c) are the events of carrying this mutation and developing Brest cancer independent or dependent?
Answer:
a) 8/10
b) [tex]0.001 \overline{33}[/tex]
c) Independent events
Step-by-step explanation:
The given information are;
The proportion of women than carries a mutation of the BRCA gene, P(A) = 1/600
The proportion of women in which the mutation develops breast cancer, P(B) = 8/10
a) The probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene is given as follows;
1 × P(B) = 1 × 8/10 = 8/10
b) The probability, P that a randomly selected woman woman will carry the mutation of the BRCA gene and will develop breast cancer is given as follows;
P(A) × P(B) = 1/600×8/10 = 1/750 = [tex]0.001 \overline{33}[/tex]
c) The events are dependent
Given that P(A) × P(B) = P(A∩B), the events of carrying the mutation and developing Breast cancer are independent events.
4/9 divided by what equals 12?
:)
Answer:
(4/9)/x = 12
(4/9) = 12x
Divide both sides by 12
27 is right
hope it helpAnswer:
its just 27
Step-by-step explanation:
whoever answered before was wrong
Given h(x) = -2x – 5, find h(-2)
Answer:
-1
Step-by-step explanation:
they gave you the value to x so all you have to do is plug it in
h(-2) = -2 (-2) - 5
h(-2) = 4 - 5
h(-2) = -1
Substituting the value, x = - 2 into the function, the value of the function h(-2) is - 1
Given the function :
h(x) = - 2x - 5At h(-2) :
h(-2) = - 2(-2) - 5
h(-2) = 4 - 5
h(-2) = - 1
Therefore, the value of h(-2) is - 1
Learn more : https://brainly.com/question/18106342
What is 0.00005 in standard form?
Answer:
0.00005 is in standard form.
Step-by-step explanation:
Select the equivalent expression.
500 decreased by 3.5%
Answer:
482.5 hope this helps can i have brainly?:)
Step-by-step explanation:
The parent function, fx) = 5^x, has been vertically compressed by a factor of one-half, shifted to the left three units and up
two units.
Please help me it’s due today I appreciate your work! I will give you bl
Answer:
3 i think
Step-by-step explanation:
Draw a coordinate plane on your paper and graph the following using intercepts. x+2y = 6 2x-y= 4
The red one is [tex]x +2y = 6[/tex] and the blue one is [tex]2x -y = 4[/tex]
The black points are the y-intercepts and and purple ones are the x-intercepts.
Given h(x) = 3x + 1, solve for x when h(x) = 4
(Will mark brainliest)
Answer:
x = 1
Step-by-step explanation:
Step 1: Define
h(x) = 3x + 1
h(x) = 4
Step 2: Substitute and Evaluate
4 = 3x + 1
3 = 3x
x = 1
Which of the following inequalities is not true
PLEASE ANSWER ASAP
-2^2 < 3
and
-1 > 0
Both are false
Answer: |-9| is not equal to |9| is not true. This is because |-9| is 9 and so is |9|.
Marry has 13 cats if she sold 7 brown cats and sold 2 black cats then how many white cats are there in total
4 White Cats
( 13 - 7 ) - 2
6 - 2
4
465 is what percent of 750?
Answer:
3487.5
Step-by-step explanation:
Tyler uses 7.5 ounces of barbeque sauce from a full bottle. He estimates that he used about 25% of the barbeque sauce in the bottle.
About how much barbecue sauce was in the full bottle?
Show the math and/or diagrams you used to answer the question..
Answer:0.3
it is very easy wants you connect with math
Nicole is 56 inches tall and has an 84 inch shadow. Julie is standing next to Nicole and has a 96 inch shadow. How tall is Julie?
Determine the value of y, if x is –9.
y= | x | +1
Answer:
The value of y for the equation y = |x| + 1 is 10.
What is an equation ?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
y = |x| + 1 (1)
To find the value of y when x is - 9.
Substitute the value of x in equation (1),
y = |-9| + 1
The mode value of is always positive,
y = 9 + 1
y = 10
The required value of y is 10.
To know more about Equation on:
https://brainly.com/question/187506
#SPJ2
find x, if ∠1 and ∠2 are a linear pair. m∠1 = 20+5x and m∠2 =x+10
Answer:
[tex]\boxed { x = -\frac{5}{2}}[/tex]
Step-by-step explanation:
To determine the value of [tex]x[/tex], write expression by using the following measurement from both [tex]\angle 1[/tex] and [tex]\angle 2[/tex] and solve:
[tex]\angle 1 = 20 + 5x[/tex]
[tex]\angle 2 = x + 10[/tex]
[tex]20 + 5x = x + 10[/tex]
Solve for [tex]x[/tex]:
[tex]20 + 5x = x + 10[/tex]
[tex]20 + 5x - x = x - x + 10[/tex]
[tex]20 + 4x = 10[/tex]
[tex]20 - 20 + 4x = 10 - 20[/tex]
[tex]4x = -10[/tex]
[tex]\frac{4x}{4} = \frac{-10}{4}[/tex]
[tex]\boxed { x = -\frac{5}{2}}[/tex]
So, the value of [tex]x[/tex] is [tex]-\frac{5}{2}[/tex].
4 movie tickets cost $48 what is the cost per ticket
Answer:
12
Step-by-step explanation:
divide 48 by 4 and the answer should be 12, that is the cost per ticket.
Answer:
Each ticket cost $12
Step-by-step explanation:
So we can say:
4x = $48
we can divide each side by 4 and get:
x = $12
Hope that helps!!
A truck driver has to make a delivery at
a location that is 230.2 miles away. She
drives an average of 55 miles each hour
for 3.25 hours. If the truck driver
continues at the same speed, will she
make it to the location in the next
hour?
A Yes, she only has 51.45 miles to go.
® Yes, she only has 52.55 miles to go.
© No, she still has 63.45 miles to go.
D No, she still has 64.65 miles to go.
Answer:
Option A is correct
Step-by-step explanation:
Speed of truck = 55 miles/hour
Time taken = 3.25 hours
Distance = Speed × Time
[tex]=55[/tex] × 3.25
[tex]=178.75[/tex]
But truck driver has to make a delivery at a location that is 230.2 miles away.
Distance left to be covered by a truck driver = [tex]230.2-178.75=51.45[/tex] miles
So,
Yes, if the truck driver continues at the same speed, she will make it to the location in the next hour such that she only has 51.45 miles to go.
Option A is correct
We want to see if the truck driver has enough speed to reach the destination or not. The correct option is A "Yes, she only has 51.45 miles to go."
Working with speeds:So we know that she needs to travel a total distance of 230.2 miles.
Now, remember the relation:
Speed*time = distance.
And she travels at an average speed of 55 miles per hour for 3.25 hours, so she traveled a distance of:
(55 mi/h)*3.25 h = 178.75 mi
Then the remaining distance is just:
230.2 mi - 178.75 mi = 51.45 mi
Will she make it in the next hour?
Well, yes, she travels at 55 miles per hour and she has 51.45 miles remaining, so yes, she will make it.
The correct option is A: "Yes, she only has 51.45 miles to go."
If you want to learn more about speed, you can read:
https://brainly.com/question/4931057
Convent 16 weeks to seconds
Answer:
9,676,800
Step-by-step explanation:
Answer: 9,676,800 seconds
Step-by-step explanation:
Laurie used 5 yards of fabric to make 2 costumes for the school play. How many yards of fabric would she need to make 20 more of these costumes?
Answer:
50 yards.
Step-by-step explanation:
Since we know that 5 yards can make 2 costumes, we can divide 5/2 to find 2.5 yards are needed to make one costume. Then you can multiply 2.5*20 to get 50 yards needed for 20 costumes. Hope this helps :)
please help need this done by at least 10 thx
Answer:
-10
Step-by-step explanation:
∛-1000=-10
Answer:
-10
Step-by-step explanation:
First...
A cube root is to find a number that if multiplied three times by its self equals this number. (sorry a little confusing)
Next...
Forget about the negative for a little bit and look at it.
10*10*10=1000
Finally...
If 10 cubed is positive 1000 then -10 cubed is -1000.
So the answer is -10.
Which table represents a linear function?
Answer:
the third one; lower left
Step-by-step explanation:
To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
Lower left: x increases by 2 and y by 2
Question 3 of 5
What is the equation of the line through (2. - 4) and (0,4)?
A. y=-4x - 4
B. y=-4x+4
O C. y= 4x+ 4
O D. y=4x - 4
What is the sum of the square root of 2 and the square root of -18?
O 42
0 421
O 52
O 5ſi
Answer:
4 ·2i
Step-by-step explanation:
√2 + √-18
√2 + √9·-2
√2 + 3√-2
(3 +1 )(√2 ·√-2) = 2i
4 · 2i
A line with a slope of -2 passes through the point (-2,-3). What is the equation of this line?
Answer:
y = - 2x - 7
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = - 2x + b Input Slope
Step 3:
- 3 = - 2 ( - 2 ) + b Input x and y
Step 4:
- 3 = 4 + b Multiply
Step 5:
- 7 = b Subtract 4 on both sides
Answer:
y = - 2x - 7
Hope This Helps :)
m = -2
y = mx +c
-3= -2(-2) +c
-3 =4 + c , c = -7
Thus, equation is y = -2x-7
please helppp!!!!
Explanation: “I broke 18 into 4 and 14 so that I could add 4 to 36 to make 40. Then I could add 40 with 14 to make 54.”
Answer:
ok more info please and I can help
Find the variable of x.
8x-2=-9+7x
Answer:
8x-2=-9+7x equals X=-7
Answer:
x = -7
Step-by-step explanation:
I NEED HELP IMMEDIATELY 20 POINTS
(x)3.0-(fx)4.0
(x)3.5-(fx)-0.2
(x)4.0-(fx)-0.8
(x)4.5-(fx)0.1
(x)5.0-(fx)0.6
(x)5.5-(fx)0.7
For the given table of values for a polynomial function, where must the zeros of the function lie?
A. between 3.0 and 3.5 and between 4.0 and 4.5
B. between 3.5 and 4.0 and between 4.0 and 4.5
C. between 3.5 and 4.0 and between 5.0 and 5.5
D. between 4.0 and 4.5 and between 4.5 and 5.0
Pls help me ASAP PLS PLS PLS
Step-by-step explanation:
Hope it helps man .....
Answer:
J-¹(x)= x+6/5
or
J-¹(x)= x/5 + 6/5
Step-by-step explanation:
J(x)= 5x -6
•first separate your Y from the original equation like this
y= 5x-6
•second replace for x since we are talking about the inverse form
x= 5y-6
•third solve for y
x+6=5y-6+6
add 6 to both sides
x+6=5y
divide 5 to both sides
x+6/5=5y/5 (in your right side 5 cancels out)
it should look like this
x+6/5=y (you solved for y)
and now you write your answer like this
J-¹(x)= x+6/5
or
J-¹(x)= x/5 + 6/5