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
101
Figure ABCD is reflected across the x-axis.
What are the coordinates of A'B'C', and D',
Enter your answer by filling in the boxes.
9
7
5
A'D
2
1
4
B's
C'ad
D'
Answer:
私は人間の前に神の弓です
翻訳してください
Step-by-step explanation:
How many zeros are in the product 4 x 10 7th power
Answer:
7 or 40,000,000
Step-by-step explanation:
The exponent (^7) is how many zeros for the 10. if there is 10^2 its just 100 because it's 10 * 10 or 100 (notice the zeros in the 10 * 10 equation? yup, there's 2) and the 4 is basically 4 * 10, it changes the 10 like 4*1 but with a lot of zeros if there were exponents (10^2) so just put them together and you get 4 * 10^7
10^7 (its just 10 times itself 7 times) = 10,000,000
4 * 10,000,000 = 40,000,000
Hope this helps
~R3V0
Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Justin can use
while staying within his budget.
>
Inequality:
.
Submit Answer
attempt 1 out of 2
I need this answered as soon as possible it’s worth 100 points
Answer:
Step-by-step explanation:
The inequality Equation =
42 + 5x < 60
To stay within her budget of less than $60 she must use less than 3.6 Gigabytes
Step-by-step explanation:
Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.
Let the number of gigabytes = x
Under $60 means less than $60
The inequality =
$42 + $5×x < $60
42 + 5x < 60
Solving for x
42 + 5x < 60
5x < 60 - 42
5x < 18
x < 18/5
x < 3.6 Giga bytes
Hence, to stay within her budget of less than $60 she must use less than 3.6 Gigabytes
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
C closed
Step-by-step explanation:
Given points B (-9,5), L (5, 13), U (8,-4), and E(-1,-6).
A) Find the component form of vector BE.
B) Find the component form of vector UL.
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
A line goes through the points (-3,-6) and (6,9). Find the slope
Answer:
Slope = 5/3
-------------------
m = 5/3
Answer:
5/3
Step-by-step explanation:
Hello, to find the slope from two given points, you use this formula- y2-y1/x2-x1. In this problem, 9 would be y2, -6 would be y1, 6 would be x2, and -3 would be x1. The equation should look like this:
9-(-6)/6-(-3)
Since both are negatives, you would add it like this:
9+6/6+3= 15/9
Now, you need to simplify this fraction which is 5/3.
A football team scored 16 points, which was 12 fewer points than their opponents scored. How many points, y, did their opponents score? *
1 point
y = 24
y = 28
y = 4
y = 18
NEED HELP!!! 10 PIONTS
Answer:
Y = 28
Step-by-step explanation:
Y=16 + 12 = 24
Therefore the y scored 24 points
URGENT PLEASE HELP !!!
Answer:
36
Step-by-step explanation:
AB=AC+BE
AB=10+26
AB=36
How many miles did Byron drive? Please do not guess!
=======================================================
Explanation:
The distance from his house to the gas station is 5 miles. We can find this by counting out the number of spaces between the two points (since the chart indicates that 1 unit = 1 mile). Or we can subtract the x coordinates to get 8-3 = 5. This only works because the y coordinates of each point are the same value.
To find the distance from the gas station to the market, we subtract the y coordinates this time. This only works due to the x coordinates being the same. We get a distance of 8-3 = 5 miles.
Overall, the total distance Byron drives is 5+5 = 10 miles.
Elise is standing on top of a 48 foot building, and her height to her eye is 5.1 feet. Elise sees her friend, Molly standing on the ground. If Molly is 29.6 feet away from the base of the building and you wanted to find the angle of depression from Elise's eyes to Molly's feet, please write the final form of the equation you would use to determine the angle of depression.
Intitial set up equation:
Final equation (\angle∠ of depression = )
Answer:
Drip is the only answer
Step-by-step explanation:
Help if you can!
Also, show work
thxxx <3
-10 pts
Answer:
1. A. 66 cubic inches.
2. A. 151,410,000
Step-by-step explanation:
For number one: Multiply 3 x 4 and that will give you 12 then multiply that by 11 and that will also give you 132. Lastly, divide 132 by 2 and it will get you 66 cubic inches.
For Number two: Multiply 420 by 721,000 and that will give you 302,820,000.
Once you have that, divide it by 2 and will give you 151,410,000.
Simplify. Consider all cases: /(x-4)+7/
Answer:
the correct answer is x+3
please solve below !!
Answer:
square root of 113 or 10.6
Step-by-step explanation:
7^2+ 8^2= C
49+64=C
113=C
square root of 113 OR 10.6
Hope this helped :)
Answer:
The answer is: 10.63
Step-by-step explanation:
7^2+8^2=c^2
113=c^2
sqrt113
10.63
can i get brainliest
which statements are true about the trigonometric ratios of this triangle
Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
By applying the sine and cosine rules in the given triangle,
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(30°) = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{11\sqrt{3} }{22}[/tex]
= [tex]\frac{\sqrt{3}}{2}[/tex]
sin(30°) = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{11}{22}[/tex]
= [tex]\frac{1}{2}[/tex]
cos(60°) = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{11}{22}[/tex]
= [tex]\frac{1}{2}[/tex]
sin(60°) = = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{11\sqrt{3} }{22}[/tex]
= [tex]\frac{\sqrt{3}}{2}[/tex]
Options (1), (2), (3) and (4) are the correct options.
A triangle has angles measuring 23 and 48 degrees. What is the measure of the third angle?
Answer:
109
Step-by-step explanation:
Hope this helped :)
Answer: The answer is 48 degrees hope this helped
Step-by-step explanation:
Mrs. Bell wrote the expanded form of a number, as shown. 5 × 100 + 4 × 10 + 6 × 1 + 2 × (1___ 10)+ 8 × (1____ 1000)What is the number written in standard form?
Answer:
the question is worded incorrectly, but I believe the answer is 8566.
Step-by-step explanation:
Write an equivalent expression for k + k + z + z + z
Answer:
2k + 3z
Step-by-step explanation:
k + k + z + z + z
2k + 3z
Sam had 2/3 of a pie and gave Joe 1/2 of what he had. What fraction of the whole pie does Joe have?
Answer:
1/6
Step-by-step explanation:
He has 2/3 of a pie, and half of that is gonna be 1/3. If he gives away 1/3, 2/3-1/3=1/6 left because its not a fraction of his original piece that the question is asking for, but the whole pie
Rose plans to have two children but doesn't know if they will be boy-boy, girl-girl, girl-boy, or boy-girl. What is the probability that she will have boy-girl? (1 point)
O 0.5
O 0.75
O 0.25
O 1.00
3
4× 20=
3 × 20
4 =
please help fast
Answer:
[tex]680, 612[/tex]
Step-by-step explanation:
[tex]34[/tex]×[tex]20=680[/tex]
[tex]3[/tex]×[tex]204=612[/tex]
explain how sandbars in the ocean are formed.
Answer:
Sandbars begin forming underwater. As waves break, this pulls material from the shoreline, migrating further into the ocean. During heavy storms, large waves can build sandbars far from shore, until they rise above the water's surface.
Step-by-step explanation:
Water brings sand and other sediment to the surface and creates a strip of land that lays between water.
plz crown
find the geometric mean of 9 and 14
Answer:
foće de moçhò de casà là ocoreatane
y=6x^2-12x-1 minumim function value
Answer:
(−1,5)
Step-by-step explanation:
hope this helpes
Answer:
Step-by-step explanation:
) 1 point 15) At the end of a game, the Wildcats have 2 points and the Lancers have 6 points. Cassie says the Lancers scored 4 more points than the Wildcats. Mark says the Lancers scored 3 times as many points as the Wildcats. Who is correct? * Cassie is correct Mark is correct Neither is correct Both are correct
Rotate rectangle CDEF with C{-4.0). D1-1,-1), E(-3,-7), and F(-6,-6) 90° counterclockwise about the origin. What are the coordinates of ΕΡ JU
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
A,B,D
Step-by-step explanation:
What is the average rate of change between coordinate points (4, 7) and (6, 10) ?
Answer: 2/3
Step-by-step explanation:
Rise over run shows it on average goes up 2 and over 3. 2 on top for rise, 3 on bottom for run. Hope it helps! Don't click on shady links
There are 870 people attending a conference.if 8.9% were canda how many people is this
Answer:
77.43
Step-by-step explanation:
Answer:
77.43 people were canda
Step-by-step explanation:
To find 8.9% of 870, we first turn 8.9% into a decimal. We can do this by shifting the decimal point two places to the left. This gives us 0.089. Now, we multiply this decimal by 870. Our product, 77.43, is our final answer.
What is Olun 1
[tex] \frac{5}{6} - \frac{1}{4 } [/tex]
need help
Answer: =7/12
Step-by-step explanation:
Swapna gathered data on the number of page views for each of her blog posts. For her 40 latest posts, she found a sample mean of 358 with a population standard deviation of 54.3. What is the approximate 95% confidence interval for her page views? HINT: It's not D.
A. 344 and 372
B. 356 and 360
C. 341 and 375
D. 336 and 380
Answer: for plato users
D. 341 and 375
Step-by-step explanation:
I just took the test
The approximate 95% confidence interval for Swapna's page views is [341, 375].
What is confidence interval?It is a range of values that's likely to include a population value with a certain degree of confidence. It is expressed as a percent (%) where a population mean lies between an upper and lower interval.A confidence interval is how much uncertainty is with any particular statistic.When it is a 95% confidence interval, it means a range of values that you can be 95% certain contains the true mean of the population.A confidence interval is obtained from the observed data that holds the actual value of the unknown parameter.Formula of confidence interval:Confidence interval = mean ± Z * (standard deviation/ √sample size)
For given question,
Sample size = 40
Sample mean = 358
Standard deviation = 54.3
Critical value at 95% confidence level= 1.96
Confidence interval = 358 ± 1.96 * (54.3/ √40)
= [358 - 1.96 * (54.3/ √40) ,358 + 1.96 * (54.3/ √40)]
= [341, 375] (approximately)
Learn more about confidence interval here
https://brainly.com/question/24131141
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