2. Suppose that 1% of the women in a certain population have breast cancer and that each of
these women undergoes a mammogram to test for breast cancer. According to one study, the
probability that a woman without breast cancer gets a positive test result is 0.121. The
probability that a woman with breast cancer gets a negative result is 0.0015. Select one woman
from this population at random.
(a) Express the provided information using probability notation.
(b) Display the provided information using a tree diagram. Then calculate the probabilities of
each of the four possible outcomes.
(c) Calculate the probability that a randomly selected woman from this population tests
positive.
(d) Given that the test result is positive, what is the probability that the woman actually has
breast cancer?
-4x -15y= 17
- x+ y =-13
Answer:
{x,y}={13,4}
Step-by-step explanation:
Identify the interval(s) on which the function y = -x2 + 5x + 14 is positive.
A.) X < -2 and x > 7
B.) X > 2 and x < -7
C.) -7 < x < 2
D.) -2 < x < 7
Given:
[tex]y=-x^2+5x+14[/tex]
To find:
The interval on which the given function is positive.
Solution:
We have,
[tex]y=-x^2+5x+14[/tex]
Splitting the middle term, we get
[tex]y=-x^2+7x-2x+14[/tex]
[tex]y=-x(x-7)-2(x-7)[/tex]
[tex]y=(x-7)(-x-2)[/tex]
[tex]y=-(x-7)(x+2)[/tex]
Using zero product property, we get
[tex]x-7=0\text{ and }x+2=0[/tex]
[tex]x=7\text{ and }x=-2[/tex]
-2 and 7 divide the number line is three interval.
Interval Signs of [tex]y=-(x-7)(x+2)[/tex] Result
(-∞,-2) (-)(-)(-) Negative
(-2,7) (-)(-)(+) Positive
(7,∞) (-)(+)(+) Negative
So, the function is positive for the interval (-2,7), i.e., -2 < x < 7.
Therefore, the correct option is D.
What is an equation of the line that passes through the point (-5,2) and is parallel
to the line 4x - 5y = 5?
Answer:
Step-by-step explanation:
first change the equation so it just equals y
-5y = 5 -4x
y = 4/5x -1
since this new equation has to be parallel to the previous line, the slopes are the same
y = 4/5x + b
now we have to make sure the new equation passes through (-5,2) so we plug in -5 for x and 2 for y
2 = 4/5(-5) + b
2 = -4 + b
b = 6
so the final equation is
y = 4/5x +6
The equation of the line that passes through the point (-5,2) and is parallel to the line 4x - 5y = 5 is 5y - 4x = 30
The equation of a line in point-slope form is expressed as:
[tex]y-y_0=m(x-x_0)[/tex]
m is the slope of the line
(x0, y0) is any point on the line
Given the equation 4x - 5y = 5.
Rewrite in standard form:
-5y = -4x + 5
y = 4/5 x - 1
The slope of the line passing through the given equation is 4/5
Substitute the slope and the point into the equation:
[tex]y-2=4/5(x+5)\\5(y-2)=4(x+5)\\5y-10=4x+20\\5y-4x=20+10\\5y-4x=30[/tex]
Hence the equation of the line that passes through the point (-5,2) and is parallel to the line 4x - 5y = 5 is 5y - 4x = 30
Learn more here: https://brainly.com/question/17684243
Calculate the area of a circle with the radius of 2cm. Pie=3
Answer:
12
Step-by-step explanation:
The formula to find the area of a circle is:
[tex]\pi[/tex][tex]r^{2}[/tex]
Where "r" is the radius of the circle.
In this case, the radius is 2, and as per what is given in this problem (what the problem asks one to use), pi is rounded down to 3.
The equation will be:
3 * 2^2
Simplify, remember the order of operations:
3 * 4
12
Answer:
12.56 cm
Step-by-step explanation:
Area of a circle is A=3.14 r to the second power.
so the radius is 2 cm. I would do 2 x 2 and that equals ,4 next 4 x 3.14= 12.56
i don't know what pie=3 means but this is my answer from the best of my ability.
Ajar contains 5 purple, 6 yellow, 8 green, and
5 orange jelly beans. What is the probability
of selecting a yellow jelly bean followed by a
purple one, without replacement?
Answer:
5 out of 24 percent chance
Step-by-step explanation:
Carrie sent 190 total text messages in the first
five days of May. If text messages cost 4¢
each, much should she expect to pay that
month?
Draw a diagram to represent each of these situations. Then write an addition expression that represents the final temperature.
The temperature was 80 ℉ in Arizona and then fell 20 ℉ during the night.
The temperature was -13 ℉ in Minneapolis and then rose 9 ℉ in the morning.
The temperature was -5 ℉ in Denver and then fell 8 ℉ by the morning.
Answer:
1) 80+(-20)
2) -13+9
3) -5+(8)
I don't quite know how to explain
Just think about 1) 60 is the new temperature, in order to have an addition problem we're going to have to use negative numbers. Since we had to subtract 20, in order to use addition it would be 80+(-20).
Mike has a recipe that feeds one person that calls for 3/8 teaspoon
of salt. How much salt is needed to make the recipe if he needs to cook
the recipe for 5 people? ASAP pls help me
Answer:
1.875 i think so just say 1 cuz no one is gonna measure .875 yknow
Step-by-step explanation:
3/8*5
Answer:
15/8 or 1 7/8
Step-by-step explanation:
3*5=15 which gets you 15/8. Since 8 is a whole subtract 15 - 8 = 7 so your mixed number would be 1 7/8
in greek myth Icarus's story is a story about...
envy
lies
greed
pride
Answer: Look at the key words in his story!
Step-by-step explanation: For Envy look for words like: Jealousy , Hate , etc
Greed: MORE, not that, etc
Pride: More positive words
Lies: Words that show he is lying
Answer:
Pride
Step-by-step explanation:
The reason I chose this answer was because I felt like he took so much pride in his father's work that he thought there would be no flaw and that he could do anything with the wings.
2. Which example does NOT show the
commutative property of addition?
A. 4 + x = x + 4
B. ab = ba
C. a+b = b + a
D. 3x + 4y = 4y + 3x
Answer:
The answer is A....im pretty sure
Step-by-step explanation:
Answer:
I think it would be b.ab=ba but I'm, not 100% sure
Step-by-step explanation:
Which term best describes the graph of y = x – 1?
Answer:what ww said
Step-by-step explanation:
Answer:
Increasing
Step-by-step explanation:
Because im smart lol
Write a function that has a root at x = 3, a domain where x ≠ 0,-1.
Answer:
f(x) = x-3/sqrt x
A new health drink has 160% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 50 MG. How many milligrams of the vitamins are in the drink? Please help me I need help fast!
Answer:
5
Step-by-step explanation:
5+5+5-10
Answer:80
Step-by-step explanation:
That’s just what it corrected me as, but it’s right
Water flows down the Mississippi river at about 1.2 miles per hour. The relationship between hours and miles the water has traveled is... Discrete or continuous
Answer:
Continuous
Step-by-step explanation:
Given
[tex]Rate = 1.2\ miles/hour[/tex]
Required
Determine if this relationship is discrete or continuous
Numbers in their whole form (i.e. 1,2,3.....) represent discrete values while others with decimals (such as 0.2,0.9, 1.2...) represent continuous values
From the above analysis, we can see that 1.2 fall in the category of continuous values.
Hence, the relationship between both parameters is continuous
Leo saves $43 a month for a new iPhone. About how much will he save during one year? (Estimate)
at a basketball game at team made 58 successful shots they were a combination of one and two point shots the team scored 98 points in all right and solve a system of equations to find out the number of each type of shot
Answer:
There were 18 1 point goals and 40 2 point goals
Step-by-step explanation:
Let the number of one point shots be x and the number of two point shots be y
Total number of shot is 58
x + y = 58 ••••(i)
Then;
Total of 1 point is 1 * x = x
Total of 2 points is 2 * y = 2y
x + 2y = 98 ••••••(ii)
x = 98-2y
Put this in 1
98-2y + y = 58
-y = 58-98
y = 40
x = 58-40
x = 18
3х + 8 + 10cjdidjdjdhdjdj
Answer:
3x+18
Step-by-step explanation:
Answer:
3 ( x + 6)
Step-by-step explanation:
3x + 8 + 10
add numbers together
3x + 18
factor out the 3 from the expression
3 (x + 6)
not sure about all the letters ? but hope this helps nn
3. Marta can buy a 6-pack of 15-ounce cans of broth for $11.29 or three
32-ounce containers for $10.97. Which is the better buy? (Example 1)
Answer:
the second one
Step-by-step explanation:
if you were to divide the price by ounces the first one would be .1254444444444444 per ounce while the second one would be .1142708333333333 per ounce so the second one is better.
h(x) = 3x-4 what is h(6)
Answer:
14
Step-by-step explanation:
3*6=18
18-4=14
Answer:
14
Step-by-step explanation:
I got it right on the test
A sprinkler system uses 800 gallons of water in 5 days. How many gallons will the system use in a week?
what is y=-4/3x-4 in standard form
Answer:
4x + 3y = - 12
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y = - [tex]\frac{4}{3}[/tex] x - 4 ( multiply through by 3 to clear the fraction )
3y = - 4x - 12 ( add 4x to both sides )
4x + 3y = - 12 ← in standard form
Please helpppp!!! I think it's easy but I dont understand
To prove a conjecture is true, you must prove it true for all cases. It only takes ONE false example to show that a conjecture is NOT true. This false example is a COUNTEREXAMPLE. Find a counterexample to show that each conjecture is false?
Answer:
the answer should be conjecture sum hehehe
Step-by-step explanation:
this is a veryyyy hard questionnnnnnn
Please help me I don’t understand
Answer:
-8 I believe
Step-by-step explanation:
6 7/12 - 5 2/3 I need help on this Math Promblem
Answer:
11/12
Step-by-step explanation:
6 7/12 - 5 2/3
=(6-5) + (7/12 - 2/3)
= 1 + 7/12 - 2*4 / 3*4
= 1 + 7/12 - 8/12
= 1 + 7-8 / 12
= 1 + -1/12
=11/12
Answer:
Step-by-step explanation:
504-288
whats the answer pls?
Answer:
216 is the answer :) uwu
Use synthetic division to test one potential root. Enter the numbers that complete the division problem.
−5
1 6 −7 −60
a −c −60
1 b −d −60
a = b = c = d =
Answer:
-5
Step-by-step explanation:
Answer:
a= -5 b= 1 c= -5 d= -12
3 and 4 for the missing polynomial factored form spaces
At the local college, a study found that students earned an average of 14 credit hours per semester. A sample of 138 students was taken. What is the best point estimate for the average number of credit hours per semester for all students at the local college?
Answer:
1932 credit hours
Step-by-step explanation:
Create a proportion
credits credits
---------- = ----------
students students
14 ?
---- = -----
1 138
14 times 138
1932 credit hours
What is the rate of change of the graph below?
5
4
-
2
4
5
х
4/3
-1
ОООО
3/4
1
Answer:
c
ccccccccccccccccccccccccccccccccccccccccccccccccc