Answer:
0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection
Step-by-step explanation:
For each women, there are only two possible outcomes. Either they have a Chlamydia infection, or they do not. The probability of a woman having the infection is independent of any other women. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000.
This means that:
[tex]p = \frac{2791.5}{100000} = 0.027915[/tex]
Take a random sample of three U.S. women in this age group.
This means that [tex]n = 3[/tex]
What is the probability that at least one of the women has a Chlamydia infection?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.027915)^{0}.(1-0.027915)^{3} = 0.9186[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.9186 = 0.0814[/tex]
0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection
If 2^2x = 2^3, what is the value of x?
Answer:
X = 2 If the exponent 2 in the 2 does not have the x
Step-by-step explanation:
What is the sum of 52.07+8.43
Answer:
60.5
Step-by-step explanation:
Ehhh 52.07+8.43=60.5?
which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?
Answer:
QUESTION:
which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?
ANSWER:
This will explain everything to you.
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/v/comparing-theoretical-to-experimental-probabilites
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Find the missing length as shown in the picture
The triangles are similar
I need an explanation
Answer:
15
Step-by-step explanation:
ΔRST ≈ ΔRDE
[tex]\frac{RS}{RT} =\frac{RD}{RE} \\\\\frac{35}{56} =\frac{x}{24} \\\\56x=840\\x=15[/tex]
RD = 15
Algebra 2 Help, Correct Answers only please!
After getting a job at the ice cream parlor, Mitzi put $20 in
her savings account every week. If she had $90 in the
account before she began working, which inequality could
be used to determine how many weeks w it would take to
have at least $350 in her account?
A 90w + 20 > 350
B 20w +90 > 350
C 20w – 90 < 350
D w/20<500-90
< 500 - 90
20
Answer: The answer is C
Step-by-step explanation:
1. Name the side lengths of a 30 degree triangle. Hint adjacent, opposite, and hypotenuse.
Timothy swam 24 laps . Frank swam 72 laps. How many times as many laps did frank swim than timothy?
Answer:
3
Step-by-step explanation:
[tex]72[/tex]÷[tex]24=3[/tex]
Charlie took a test with two parts; Reading with 60 questions and Math with 40 questions. He scored 55% on the Reading part and 90% on the Math part. What is his overall percentage score, assuming each of the 100 questions has equal weight?
Answer:
10
Step-by-step explanation:
A map has a scale of 1 inch: 3 kilometers. Use the given distance to find the distance on the
map
a) 18 km
b) 76 km
c) 0.5 km
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
c -1 and 2
Step-by-step explanation:
can i have BRAINLIEST?
Name 2 decimals that round to 8.64.
I need help plzzzzz
Answer:
8.643, 8.639
Step-by-step explanation:
Step-by-step explanation:
What is the number 8.64 rounded to the nearest tenth? -
What is 2.098 rounded to two decimal places? ... You could also use round-to-odd, which is like round-to-even in its ability to remove bias, ...
What is the volume of the square pyramid, in cubic inches?
Pls Help Me find the Area T-T
Answer:
the answer is 55m^2 I think
Answer:
55 is the Area
Step-by-step explanation:
4 x 10 = 40
5 x 3 = 15
15 ÷ 2 = 7.5
5 x 3 = 15
15 ÷ 2 = 7.5
7.5 + 7.5 = 15
40 + 15 = 55
Give Me Brainllest
If the measure lf 2 is 83, what is the measure of 3?
Answer: 97
Step-by-step explanation:
2 and 3 form a supplementary angel, so the sum of the angles should equal 180
What is m∠G to the nearest tenth?
Answer:
Step-by-step explanation:
tan(G) = 28.2/45.8
G = arctan(28.2/45.8) = 31.6°
Simplify the expression -3 devided by -2/5. A. -7 1/2 B. -1 1/5 C. 1 1/5 D. 7 1/2
Answer:
D. 7 1/2
Step-by-step explanation:
-3 divided by -2/5
-(-3(-5/2)
-(-3 x 5/2)
-15/2
7 1/2
Hope it helps
Please help I need to do this for homework but I have zero clue what to do.
The quarterback should have thrown the ball when the receiver was open about 16 yards down the field. Can you find how far the quarterback would have to throw the ball?
Answer:
[tex]20[/tex]
Step-by-step explanation:
[tex]12[/tex]²[tex]+16[/tex]²[tex]=400.[/tex]
[tex]\sqrt{400}[/tex][tex]=20[/tex]
Can somebody help me please!!
Answer:
Its A
Step-by-step explanation:
Can someone find the error ??
And solve it
Please this geometry
Specials right triangle
In a 30-60-90 triangle the hypotenuse is 2 times the shortest leg.
In the problem, they multiplied the shortest leg by sqrt(3)
Hypotenuse = shortest leg x 2
Hypotenuse = 7 x 2 = 14 units
Solve the system: 10x-9y=8 21y+15x=0.5
PLEASE HELP NEED ASAP
Answer:
x = 1/2
y = -1/3
Step-by-step explanation:
10x - 9y = 8 (Multiply by 3)
15x + 21y = 0.5 (Multiply by -2)
30x - 27y = 24
-30x - 42y = -1
-69y = 23
y = -1/3
10x - 9y = 8
10x - 9(-1/3) = 8
10x + 3 = 8
10x = 5
x = 1/2
.
In each row, decide whether the expression in column A is equivalent to the expression in column B. If they are not
equivalent, show how to change one expression to make them equivalent.
A
B
A.
3x-2x +0.5x
1.
1.5x
B.
3(x + 4)-2(x + 4)
2. x + 3
C.
6(x+4)-2(x + 5)
3. 2(2x + 7)
D.
3(x + 4)-2(x + 4) + 0.5(x + 4)
4. 1.5
For each situation write an eynression for the new balance using as few terms as possible
A. [tex]3x-2x+0.5x=1.5x[/tex], so the expressions are equivalent.
B. [tex]3(x+4)-2(x+4)=x+4[/tex], so the expressions are not equivalent. To make the expressions equivalent, add 1 to expression B.
C. [tex]6(x+4)-2(x+5)=6x+24-2x-10=4x+14=2(2x+7)[/tex], so the expressions are equivalent.
D. [tex]3(x+4)-2(x+4)+0.5(x+4)=1.5(x+4)[/tex], so the expressions are not equivalent. To make the expressions equivalent, multiply expression B by (x+4).
Determine whether the series -3 + 9 - 27+ .... is convergent or divergent.
Answer:
divergent
Step-by-step explanation:
just took it
Will give brainliest for correct answer
Answer:
Step-by-step explanation:
1. Not a function
2. Not a Function
3. Function
A farmer is trying to decide how many acres of land he has planted by
finding the area, A, of his plot. x represents a measuring chain he is
using. If the plot has length (5x – 3) and width (2x + 7), which of the
following is the area in terms of x?
F 10x2 + 41x-21
H 10x2 + 29x - 21
G. 7X2 + 7x + 4
J. x2 - 6x +4
Answer:
H
Step-by-step explanation:
(5x-3) x (2x+7)
10x^2 + 35x - 6x - 21
10x^2 + 29x - 21
answer these plssssssssssssssssssssss
Answer:
15: Yes, no, yes, yes, no; 16A: C = ($0.29)X + ($1.45)Y + ($2.50)Z; 16B: Yes
Step-by-step explanation:
For question 15: We need to multiply the widths and lengths given to see if they equal the area we are trying to achieve. Therefore, some of them work, and some do not.
For question 16:
Part A: We'll set a variable for the number of each supply she can buy. Pencils will be represented by X, pens by Y and Notebooks by Z, and we'll represent total cost by C. The total cost will therefore be represented by C = ($0.29)X + ($1.45)Y + ($2.50)Z.
Part B: We'll plug the numbers of items she wants to buy into our formula and see if it comes out to less than $20. So in this case C = ($0.29)(3) + ($1.45)(4) + ($2.50)(2). Therefore, C = $11.67, which is less than $20, so she can afford her school supplies.
ANSWER THE QUESTION FOR BRAINLIEST
What is the value of x
[tex]x {}^{2} \times 5x = 625[/tex]
Answer:
x = 5
Step-by-step explanation:
x^2 * 5x = 5x^3
5x^3 = 625 Divide by 5
x^3 = 625/5
x^3 = 125 Take the cube root of 125
x = 5
Equation of a trendline is: y = 50x + 2. What is the
value of y if x is given as 3.5?
A. 175
C. 180
B. 177
D. 201
Answer:
B : 177
Step-by-step explanation:
hello :
put x=3.5 in the equation you have : y = 50(3.5)+2 =175+2=177
Find tan 0.
(Lots of points if correct)
Answer:
Your answer is 15/8