Answer:
Step-by-step explanation:
it's another one of those similar triangles
it's easier to see this one.
t /c = u / b
where
t = 7x + 3
c = 27
u = 35
b = 21
plug in the knowns
7x + 3 / 27 = 35 / 21
7x + 3 = 27 ( 35 / 21 )
7x + 3 = 9 ( 35 / 7 ) ( divided by 3 )
7x + 3 = 9 ( 5) ( 7 into 35 =5 )
7x + 3 = 45
7x = 45 - 3
7x = 42
x = 6
I checked it, the ratio is 1_2/3 :) for both, but you can check it too
Cystic fibrosis (CF) is a hereditary lung disorder that often results in death. It can be inherited only if both parents are carriers of an abnormal gene. In 1989, the CF gene that is abnormal in carriers of cystic fibrosis was identified. The probability that a randomly chosen person of European ancestry carries an abnormal CF gene is 1/25. (The probability is less in other ethnic groups.) The CF20m test detects most, but not all, harmful mutations of the CF gene. The test is positive for 90% of people who are carriers. It is never positive for people who are not carriers.
Required:
Compute the probability that a randomly chosen person of European ancestry does not carry an abnormal CF gene given that he /she tested negative.
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.
Can someone please give me the answer?
Answer:
the correct answer is C
-----------------------------------
Answer:
The III
Step-by-step explanation:
go right three times and down four times
Please help and look at the others
Answer:
no
Step-by-step explanation:
pls give brainliest :)
2. Graph the following equation: y = - 1/2 x + 4
Answer:
Step-by-step explanation:
y = (-1/2)x + 4 is the equation of a straight line with y-intercept (0, 4) and slope -1/2.
To graph this, first plot the y-intercept (0, 4).
Recall that slope m = rise / run, and notice that the slope in this particular case is -1/2 = rise / run, or rise = -1 and run = 2.
Starting with your pencil point on (0, 4), move the point 2 units to the right (run = 2), arriving at (2, 4). Next, move your pencil point 1 unit down, to (2, 3).
Draw a straight line through (0, 4) and (2, 3).
7
Select all expressions that are equivalent to 6(7a + 9b).
(1 Point)
3(14a + 18b)
2(11a + 13b)
42a + 9b
42a + 546
Answer:
6(7a + 9b) = 3(14a + 18b)
Step-by-step explanation:
We need to find the equivalent expression for the given expression i.e. 6(7a + 9b).
We can use the distributive property here such that,
a(b+c) = ab + ac
We have, a = 6, b = 7 and c = 9
6(7a + 9b) = 6(7a) + 6(9b)
= 42a + 54b
or taking 3 common from the above expression.
= 3(14a+18b)
Hence, the correct option is (a).
HELP ITS TIMEDDDDDDDDDDDDDDDDD
Answer:
100
Step-by-step explanation:
Please help me with this question
Answer:
arrow A
Step-by-step explanation:
6 out of 30 or 1/5 which is arrow A
Find the slope of the line that passes through the following points.
(2.10) and (5.8)
Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
the value of the required slope can be calculated from:
[tex]s=\frac{y_1-y_2}{x_1-x_2};[/tex]
[tex]s=\frac{10-8}{2-5};[/tex]
finally,
[tex]s=-\frac{2}{3}.[/tex]
Note, the suggested option is not the only one.
What would the graph of
Х/4.8 < 1.25 look like?
Answer:
Step-by-step explanation:
x/4.8 < 1.25 Multiply both sides by 4.8
4.8 x / 4.8 < 1.25*4/8
x < 6
What this means is that every every number less than 6 is a solution to this inequality.
Graph 32 (shown below is a red area. The important thing to note is that the boundary at 6 is dotted which means it is not included in the solution.
What you want is more closely related to a number line and sort of looks like this
-----o-----o-----o-----o-----o-----o-----o-----o
-1 0 1 2 3 4 5 6
<===============================o
Explanation
The top line is the actual number line or the graph
o------- is the way it is made.
The second line are the number divisions of the number line
The third line shows which way the inequality goes and that it is open at 6. Open means that you can get close to 6 but you can't touch 6.
How are relations that are
functions similar those that
are not functions? How are
they different?
Answer:
so the picture attached is not a function, but it looks it exactly like a function, or y=x^2. Functions are relations are similar that they both relate something, but functions are sets of relations put together, as long as their are is only one output per one input
What is the missing polynomial -(20-4x-5x2)=20-7x2
Answer:
? – (20 – 4x – 5x2) = 20 – 7x2, so ? = 20 – 7x2 + (20 – 4x – 5x2)
? = 20 – 7x2 + (20 – 4x – 5x2)=20-7x²+20-4x-5x²=40-12x²-4x
the answer is 40-4x-12x^2
Step-by-step explanation:
Answer:
40-4x-12x^2
Step-by-step explanation:
E is directly proportional to f.it E is 24 then f is 6 what is E when f is 24
Answer:
E = 96
Step-by-step explanation:
Given the following data;
E = kf .......equation 1.
When E = 24, f = 6
First of all, we would have to find the constant k;
Substituting the values into eqn 1, we have;
24 = k6
k = 24/6
k = 4
To find the value of E, when f = 24
E = kf
Substituting into the equation, we have;
E = 4*24
E = 96
A table is on sale for $469, which is 33% less the regular price. What is the regular price
Answer: I think it is 67
Step-by-step explanation:
Mrs. Cleary paid $584 for 8 cases of a popular magazine. How much did she pay for each case of magazines?
Answer:
$73 for each case
Step-by-step explanation:
Total spent: $584
Numer bought: 8 cases
Divide the total amount of amount on how many cases were spent to get how much each one cost individually
584/8 = 73
Answer:
so we would have to divide Mrs. Clearly money by the number of cases she already bought
584/8 = 146
so each case cost 146
The perimeter of a rectangular backyard is 192 feet. The yard is 43 feet wide. How long is it?
Answer:
53 feet.
Step-by-step explanation:
2(Width)+2(Length)=Perimeter
--> 2(43)+2(Length)=192
--> 86+2(Length)=192
--> 2(Length)=106
Length = 53
What's the value of (3x+12)
A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 1898 seats, which was 73% of the total number of seats in the theater. How many total seats were in the theater?
Answer: 2600
Step-by-step explanation:
Using the formula p=%w(part=percent x whole), it would be 1898=.73x, then I used railroad tracks to divide .73 from both sides and got 2600=x
PLEASE HELP ME B4 I LOOSE IT THANK YOU!<33
Answer:
4Step-by-step explanation:
[tex]s = slant[/tex]
[tex]h = \sqrt{s^{2} } - ( \frac{a}{2} ) ^{2}[/tex]
[tex]h = \sqrt{5^{2} } - ( \frac{6}{2} ) ^{2}[/tex]
[tex]h = \sqrt{5^{2} } - 3^{2}[/tex]
[tex]h=[/tex] 4
PLEASE HELP HURRY
What is the area of this figure?
4 cm:
Enter your answer in the box
cm?
5 cm
5 cm
Answer:
100cm
Step-by-step explanation:
I hope this help:)
Answer:
35 square cm
Step-by-step explanation:
Square area: 5 cm x 5 cm = 25 square cm.
Triangle area: 4 cm x 5 cm / 2 = 10 square cm.
25+10=35 square cm.
Joseph just bought a brand new cell phone and a warranty for the cell phone. The warranty cost 300 euros and
is worth 800 euros if his phone breaks. Joseph estimates that there is a 20% chance of his phone breaking.
Col
Joseph calculates the expected value of buying the warranty to be -140 euros.
Which of the following statements are true?
MY
Choose all answers that apply:
Pro
Pro
Joseph will certainly lose value from the warranty.
Tea
Joseph will certainly gain value from the warranty.
If Joseph was going to buy a large number of phones, and he bought the warranty on each phone,
he should expect to lose value from the warranties.
Answer:
If Joseph was going to buy a large number of phones, and he bought the warranty on each phone, he should expect to lose value from the warranties.
Step-by-step explanation:
Given - Joseph just bought a brand new cell phone and a warranty for the cell phone. The warranty cost 300 euros and is worth 800 euros if his phone breaks. Joseph estimates that there is a 20% chance of his phone breaking.
Joseph calculates the expected value of buying the warranty to be -140.
To find - Which of the following statements are true?
Joseph will certainly lose value from the warranty.
Joseph will certainly gain value from the warranty.
If Joseph was going to buy a large number of phones, and he bought the warranty on each phone, he should expect to lose value from the warranties.
Proof -
Given that , expected value = -140
⇒It means Joseph lose 140
(negative represents loss )
Now,
Given the expected values, it means we have given the probability so we can not be sure about loosing money
So,
The 1st and 2nd option is wrong because certain means sure because in the question we are not sure that Joseph phone will break or not.
Now,
The 3rd option says that if Joseph buy large amount of phone then he expect to lose value from from warranties .
This is the correct option because if we buy phones and warranty on phone then the expected value will divide on each phone.
So, the chance of impact on loss will decrease.
The correct option is - If Joseph was going to buy a large number of phones, and he bought the warranty on each phone, he should expect to lose value from the warranties.
WILL GIVE BRAINLIEST!!!! what is the inverse of the equation y=x^2
Answer:
y=2^x
Step-by-step explanation:
A poster is 6 feet tall and 3 feet wide. What is it's perimeter?
Answer:
18 ft
Step-by-step explanation:
6 ft + 3 ft + 6 ft + 3 ft = 18 ft
Answer:
18 ft
Step-by-step explanation:
if its 6 feet tall and 3 feet wide you add 6+6+3+3
Choose the best meaning for the word “vary”.
A. Stays the same
B. Differs, changes not the same
C. Elephant toothpaste
Answer:
The answer would be B.
Step-by-step explanation:
Varying means that the number for an answer can vary and is most commonly used in cases of having an inequality.
EX:
5 ≥ 2x+4
x = [.5~4.5}
Consider the expression x + 6. What is the value of the expression when x = 4
Answer:
4+6
answer is 10
simple.
Please help me! I need this assignment due today!
Answer: i don't no the answer, but do u go to connexus acadeny
Step-by-step explanation:
BRAINLIEST AND 10 POINTS
When comparing the results of multiplying polynomials using the horizontal method and the vertical method, ____________.
1. the results will never be the same.
2. the vertical method will be correct only when the polynomials have no more than three terms.
3. the horizontal method will be correct when the polynomials have no more than three terms.
4. the results will be the same.
Answer:
#3 is the answer
Step-by-step explanation:
a rally car race course covers 515.97 miles the winning car completed the course in 6.5 hours.what was the average speed of the winning car?
Answer:ere
You have to
Step-by-step explanation:
basically everything is in the picture PLEASE HELP me with those THREE questions ASAP
There are 3 boxes for green chips and 5 boxes for red chips. each box has the same number of chips in it. if there are a total of 16 chips complete the tape diagram showing the number of chips in each box.
Answer:
2 in each box of courseg= green chips r= red chips
3 boxes of green chips meaning for each box there are 2 chips so there are 6 green chips. 5 boxes of red chips meaning for each box there are two chips so there are 10 red chips and 6 g + 10r = 16 chips in total
Step-by-step explanation:
PLEASE HELP ME I REALLLY NEED TO DO THIS I WILL GIVE THE CORRECT ANSWER BRAINLY PLEASEEEEE
Answer:
21 is the correct answer
it's just a logical question
just do multiply with 2 and add 1
answer will come
as above:4 is given
4×2+1
8+1
9
second:12
12×2+1
24+1
25