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.
Which statements about the values of 4.099 and 40.99 are true? Select all that apply. 4.099 is 110 of 40.99. 4.099 is 1100 of 40.99. 40.99 is 10 times more than 4.099. 40.99 is 100 times more than 4.099. 4.099 is 10 times more than 40.99.
Answer:
40.99 is 10 times more than 4.099
Step-by-step explanation:
Given the values :
4.099 and 40.99
4.099 is 110 of 40.99 : 110 * 40.99 = 4508.9 (false)
4.099 is 1100 of 40.99 : 1100 * 40.99 = 45089 (false)
40.99 is 10 times more than 4.099 : (10 * 4.099) = 40.99 (true)
40.99 is 100 times more than 4.099 : (100 * 4.099) = 409.9 ( false)
4.099 is 10 times more than 40.99 : (10 * 40.99) = 409.9 (false)
Answer:
the answer is c trust me
Step-by-step explanation:
Can you help me please?
Answer:
61.5 in 41 mins 90 in one hour,
Step-by-step explanation:
i multiplied 1 1/2 by 41 and by 60
hope this helps i am very sorry if it is incorrect..
Solve the system of equations by using substitution. Give your final answer in the form of an ordered pair.
5x - 2y = 26
y + 4 = x
What is the value of x?
Answer:
31 degrees
Step-by-step explanation:
149 + 149 = 298
360 - 298 = 62
62 / 2 =31
Answer:
61 degrees
Step-by-step explanation:
you know that there is a strait line which is equal to 180. So if you subtract 149 from 180 you get 31 which is the angle included with x. therefore you subtract your total number, which is 92 by 31 and you get 61 degrees
10. Calculate the speed of waves in a puddle that are .15 apart and made by tapping the water
surface twice each second.
Since the waves are 0.15 apart and made by tapping the water surface twice each second the speed of waves in the puddle is 0.6 m/s
To answer the question, we need to know what a wave is
What is a wave?A wave is a disturbance in space which carries energy from one point to another
What is the speed of a wave?The speed of a wave v = fλ where
f = frequency and λ = wavelengthWavelength of waveSince the puddles are 0.15 m are and we know that this is the distance from crest to crest.
Also, the distance from crest to crest is λ/2
So, λ/2 = 0.15
λ = 2 × 0.15 m
= 0.3 m
Frequency of wave
Also, since the tapping by the water surface is done twice each second, the frequency, f = 2 times/s = 2 Hz
Speed of waves in puddleSubstituting the values of the variables into the equation, for speed, we have
v = fλ
v = 2 Hz × 0.3 m
v = 0.6 m/s
So, the speed of waves in the puddle is 0.6 m/s
Learn more about speed of wave here:
https://brainly.com/question/4054018
#SPJ1
A boat cost $16,500 and decreases in value by 13% per year how much will the boat be worth after eight years?
Answer:
$5,415.49
Step-by-step explanation:
Cost of the boat = $16,500
Decrease in value per year = 13%
Worth of the boat in 8 years = ?
Remaining value = 100% - 13%
= 87%
Worth of the boat in 8 years = cost of the boat × remaining value^8
= $16,500 × 87%^8
= $16,500 × 87/100^8
= $16,500 × 0.87^8
= $16,500 × 0.3282116715437121
= $5,415.49
The worth of the boat after 8 years = $5,415.49
Use the distributive property to rewrite the following expression.
-(x - 3) - 2(-3x - 8)
Pls I need this last question
Answer:
-5x-19
Step-by-step explanation:
-(x-3) - 2(-3x-8)
-x+3 - 6x -16
-5x-19
Show the work for this problem
i drew tge question because im not doing it ion my home laptop
Answer:
Correct Choice: G. point B
Step-by-step explanation:
The Number Line
A number line is defined as a graphic representation of numbers such as fractions, integers, and whole numbers laid out evenly on a straight horizontal line.
The number line can be used for comparing and ordering numbers and also performing simple operations such as addition and subtraction.
There are four numbers located on a number line. Let's analyze each one:
A: -27/3. This division is a whole number =.9 and is correctly placed.
B: -13/2 = -6.5. Note this value was incorrectly placed at -4.5.
C: 9/2= 4.5. The number is correctly placed
D: 21/3 = 7. This number is also placed in the correct location
Correct Choice: G. point B
PLS HELP TT
write a paragraph proof for the following conjecture
Given m∠1 + m∠2 = m∠4
Prove: m∠3 + m∠1 + m∠2 = 180°
m∠1 + m∠2 = m ∠4 , under the exterior angle property of a triangle which says that sum of the interior opposite angles of an exterior angle will be equal to the measure of the exterior angle .
To prove that m∠3 + m ∠1 + m∠2 = 180° , let us use the angle sum property .
= Angle sum property = Sum of the three interior angles in a triangle will be equal to 180° .
= Since ∠1 , ∠2 and ∠3 are the interior angles of this triangle , their sum will be equal to 180° .
Hence proved that m∠1 + m∠2 + m∠3 = 180°
∴ m∠1 + m∠2 + m∠3 = 180° under the angle sum property of a triangle .
What is "fifty thousand, six hundred thirty-one" in standard form?
Answer:
50,631
Step-by-step explanation:
Answer:
55,631
Hope it helps!
Find the area of quadrilateral JKLM with vertices J(-2,1), K(3,1), L(3.-2), and M(-2,-2).*
8 ghosts greet each other with 'Boo!
How many times is the phrase 'Boo! being said?
Hint For three ghosts, Boo
is said 6 times For four ghosts, Boo is
said 12 times!
Answer:
im pretty sure 16 times
Step-by-step explanation:
well if you look at it there are 8 ghost's. they are going to greet each other, soo. B would say 8x7 because 8 ghost's would say boo to 7 more. soo 8x7=56
p.s
sorry if wrong
Definition: Ifa = b. then a - c= b - c. This is the what property of equality
Answer:
Subtraction property
Step-by-step explanation:
- sixteen divided by -two
Answer:
8
Step-by-step explanation:
Answer:
-16 divided by -2 is 8
Step-by-step explanation:
When you divide a negative from a negative you get a positive
y=−3(x+3)+4 i have no clue how to answer
Answer:
y=-3x+13
Step-by-step explanation:
y=-3x-9+4
-9+9= 0 so that cancel out
next u do
4+9=13
and thats when u drop the variables and the 13 down then it will be
y= -3x + 13
solving literal equations a-bc=d solve for a
Answer:
a=d+Bc
Step-by-step explanation:
a-bc=d
+bc
a=d+bc
how do I find measure of angles
Answer:
you are going to need a protractor
Step-by-step explanation:
A 3-inch by 5-inch photo is enlarged proportionally such that its smaller dimension is now 1 foot 3 inches. How many inches are in the larger dimension?
Answer:
There are 25 inches in the larger dimension.
Step-by-step explanation:
∵ 1 foot = 12 inches
∵ The small dimension after enlargement is 1 foot and 3 inches
→ Change it to inches only
∴ The small dimension = 1(12) + 3 = 12 + 3
∴ The small dimension = 15 inches after enlarged
∵ The small dimension of the photo before enlarged = 3 inches
→ Divide its length after enlarged by its length before enlarged to
find the scale of the enlargement
∵ 15 ÷ 3 = 5
∴ The scale of enlarged is 5
→ To find the larger dimension after enlarged multiply its length
before enlarged by 5
∵ The larger dimension before enlarged = 5 inches
∴ The larger dimension after enlarged = 5 × 5
∴ The larger dimension after enlarged = 25 inches
∴ There are 25 inches in the larger dimension.
The first three terms of a geometric sequence are as follows.
-7, 14, -28
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
-7, 14, -28, 00
Answer:
The next two terms of the sequence -7, 14, and -28 are 56 and - 112.
Step-by-step explanation:
-7 * -2 = 14
14 * -2 = -28
The sequence is to multiply each number by -2.
-28 * -2 = 56
56 * -2 = -112
Answer: The next two terms of the sequence -7, 14, and -28 are 56 and - 112.
Step-by-step explanation:
I need help asap I'm giving the rest of my points
Answer:
a. 32. 3
Step-by-step explanation:
4x3=12
1×3=3 (3 min missing from table)
32×3=96 (32 songs miss)
You rode 180 miles at 60 miles per hour. Let t be the time it took. Can t be 4 hours?
Answer:
t = 3 hours, therefore it cannot be 4 hours
Step-by-step explanation:
Divide the miles traveled by the rate you traveled. This will find the time it took to travel.
180/60 = 3
You drove 3 hours to travel 180 miles, therefore t cannot equal 4.
which is the correct value of c for x^2-14x+c=(x-7)^2
Answer:
c = 3.5 - x
Step-by-step explanati
x^2 - 14x + c = (x - 7)^2
x^2 - 14x + c = x^2 - 7^2
x^2 - 14x + c - x^2 = x^2 - 49 - x^2
-14x + c = 49
-14x / -14 + c = 49 / -14
x + c = 3.5
x - x + c = 3.5 - x
c = 3.5 - x
5. Arrange the following interest rates in ascending order (least to greatest):
4.72
4 1/4
4.168
4 1/5
4 1/6
4.22
Write the converse of the following conditional? If you own a Prius, then you own a car made by Toyota.
Answer:
You own a car made by Toyota if you own a Prius.
Step-by-step explanation:
If the conditional is p->q then the converse would be q->p. So basically to get the converse switch the order of the statements.
Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written?
a) 2x + z + 5 - 6z^2
b) 2x- z-5 + 2z^2
c) -2 x - z- 5 + 2z^2
d) -2 x + z- 5 + 2z^2
Answer:
Hi there!
Your answer is:
B) 2x -z -5 + 2z^2
Step-by-step explanation:
xterm has 2 in front
z term has -1 in front
expression has constant term <0 (means it must be neg)
2x - 1z + (x<0)
Hope this helps
to find the slope of the two points
Answer:
Slope is :-
[tex] \boxed{\bf \; m \; = - \cfrac{7}{5}} [/tex]
Step-by-step explanation:
Given two points :-
[tex] \sf \implies(-5,3) , (0,−4)[/tex]
To Find :-
The slope of Two points that is given.
Solution :-
[tex]\sf \implies(-5,3) , (0,−4)[/tex]
As we know that the formula of Slope is :-
[tex]\sf \implies \boxed{\sf Slope = \cfrac {y_2 - y_1}{x_2 - x_1}}[/tex]
Now, Put the values of x and y :-
Where,
[tex]{ \sf \: {y_2} = - 4}[/tex]
[tex] \sf \: x_2 = 0[/tex]
[tex] \sf \: y_1 = 3[/tex]
[tex] \sf \: x_1 = - 5[/tex]
Put the values on their respective place :-
[tex]\sf \implies \: Slope = \cfrac{ - 4 - 3}{0 - ( - 5)} [/tex]
Simplify this Fraction :-
Add -4 and -3 which is on the numerator as we know that "-" and "-" equals to "+":-
[tex]\sf \implies \: Slope = \cfrac{ - 7}{0 - ( - 5)} [/tex]
Now Add 0-(-5) on the denominator as we know that "-" and "-" equals to "+":-
[tex]\sf \implies \: Slope = \: \cfrac{ - 7}{ 5} [/tex]
Which can be rewritten as,
[tex]\sf \implies \: m = \: - \cfrac{7}{5} [/tex]
This fraction can't be cancelled. Hence, the slope of the two points is:-
[tex]\sf \implies \boxed{\sf m = \: - \cfrac{7}{5}} [/tex]
Note :- Slope can also be denoted as [tex] m [/tex].
________________________________
I hope this helps!
Why you do not have to do any computing or math do solve 15 x 0 x (13 + 7)? Explain.
Answer:
because when you do 15*0 it =0 so anything else multiplied by 0 is 0
Step-by-step explanation:
I need help. What is m
Answer:
A
Step-by-step explanation:
(8x + 4) = (10x-6)
If you solve this you find x = 5, plug that into one and you get 44 degrees
17v + 3v = 20
Solve for V.
Answer:
v=1
Step-by-step explanation:
Answer:
V = 1
Hope this helped :)