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
Will give brainliest for correct answer
Step-by-step explanation:
10. not a function (repeating x values)
11 Function
12 not a function (repeating x values)
TIMED WILL GIVE BRAINLEIST HELPPPPPPPPPPPP
Answer:
3.13π
Step-by-step explanation:
One plane is a quarter of a semi-circle, since the semi-circle is split into four equal parts. One quarter of a semicircle is one eighth of a circle, so find the are of a circle with diameter 10ft, and divide by 8:
Diameter is half the radius, so the radius is 5ft.
Area of a circle = π(radius)²
=5²π
=25π.
We're looking for an eigth of the circles area so: 25π/8 = 3.125π≈3.13π
Tom sells the hot dogs for £3.15 each
Answer:
Then what???
Step-by-step explanation:
21 and 22 are complementary angles. The measure of Z1 is 60°. The
measure of 22 is 5(x - 1)º. Find the value of x.
Answer:
The value of x is 7
Step-by-step explanation:
Complementary angles have a sum of 90°, therefore the equation to solve for x is:
∠1+∠2=90°
60°+5(x-1)°=90°
5(x-1)=30°
x-1=6
x=7
So the value of x is 7
If X = 9 units, Y = 7 units, Z = 18 units, and h = 8 units, what is the surface area of the triangular prism shown above?
Answer: 506 square units (answer choice B)
Step-by-step explanation:
The formula for the surface area of a triangular prism is:
SA = bh + 2ls + lb,
where b is the base, h is the height, l is the length, and s is the side of the triangle.
In this case, the base is 7 (Y), the height is 8 (h), the length is 18 (Z), and the side of the triangle is 9 (X).
So, by subsituition, we have:
SA = (7)(8) + 2(18)(9) + (18)(7)
SA = 56 + 324 + 126
SA = 506
The surface area is 506 square units.
Hope this helps! :)
Whats is -100+500 you get it ok
Answer:
400 pick mine as Brainlest
Step-by-step explanation:
Answer:
It is 400
Step-by-step explanation:
If you reverse it to make it easier on yourself.
500-100 =400
A rectangular prism has a square base with side
the prism is 5 feet. What is the volume of the prism? Show you
m has a square base with sides that are 2 feet long. The height of
Please help
Answer:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Step-by-step explanation:
safari
Help giving brainliest please help
Answer:
C. The mode of the number of miles Ian skated in July is less than the mode of the number of miles Ian skated in August.
Step-by-step explanation:
A. is not correct because the least amount he skated in July was 1 which is not greater than the least amount In August, 5
B. is not correct because the median number for July was 8 which is not greater than the median of August, 10
C. is correct because 8 is the most common number in July which is less than 10, the most common number in August.
D. is not correct because the range in July is 14 (15-1=14) which is not less than the range in August, 8 (13-5=8)
Find the value of x (only answer if you're sure)
Answer:
x = 5.4
Step-by-step explanation:
Ratios:
[tex]\frac{x}{3} =\frac{7.2}{4} \\\\4x=21.6\\x=5.4[/tex]
Hurry ASAP) Graph the system of equations. f ( x) = x^2 - 5x + 7 and g(x)=2x + 1. Which statements are true about the solutions to the system of equations? Select each correct answer. ( I accidentally clicked on option A but I don't know the answer at all). Will Mark Brainliest.
Answer:
N/A
Step-by-step explanation:
Get the Desmos graphing calculator app. it is very helpful when graphing and needing to be able to compare functions
Find the value of x. Round to the
nearest tenth.
Which angle is supplementary to 15?
9514 1404 393
Answer:
∠14
Step-by-step explanation:
Angle 15 forms a linear pair with angles 14 and 16. Each of those is supplementary to angle 15. Only angle 14 is listed as a choice.
Complete the statement. Enter your answer in the box. Use fraction strips or number lines to help.
Answer:
you did not post a question?
Step-by-step explanation:
Conduct the following test at the level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether . Sample data are , , , and . (a) Determine the null and alternative hypotheses. Choose the correct answer below. A. versus B. versus C. versus Your answer is correct.D. versus (b) The test statistic is nothing. (Round to two decimal places as needed.)
Answer:
Hello your question is poorly written the complete question is attached below
answer :
a) H0 : p1 = p2
Ha : p1 ≠ p2
b) Z = -0.58
c) P-value = 0.561915
d) we will reject the Alternative hypothesis
Step-by-step explanation:
For sample 1 ; n1 = 254 , x1 = 28
For sample 2 ; n2 = 301 , x2 = 38
level of significance ∝ = 0.01
P1 = X1 / n1 = 28 / 254 = 0.1102
P2 = X2 / n2 = 38 / 301 = 0.126
a) Determine the null and alternate hypothesis
H0 : p1 = p2
Ha : p1 ≠ p2
b) Determine Test statistic
we perform a Z-statistic to test the hypothesis
Z = [tex]\frac{p1-p1 }{\sqrt{( p(1-p)*(\frac{1}{n1}+\frac{1}{n2}) ) } }[/tex] -------- ( 1 )
p = ( x1 + x2 ) / ( n1 + n2 )
= ( 28 + 38 ) / ( 254 + 301 ) = 0.1189
Where: p = 0.1189 , p1 = 0.1102 , p2 = 0.126 ( input values into equation 1 )
∴ Z = -0.58
c) Determine P-value
P-value = 0.561915 ( using excel function )
d) conclusion : since p-value > 0.01 ( level of significance ) we do not reject the null hypothesis. therefore it proves that p1 = p2
The number of pets owned by eight classmates is shown below:
1, 3, 2, 2, 1, 3, 3, 1
Part A: What is the mean of the data? Show your work. (4 points)
Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)
Answer:
Part A: Mean = 2
Part B: 6
Step-by-step explanation:
Part A: Add all the data piece's and divide by total value
Part B: Subtract the mean from each piece of data in the dat set and find the absolute value of each answer. 1+1+0+0+1+1+1+1 = 6
The mean of the data of the number of pets owned by eight classmates is 2 and the mean absolute deviation for the data is 0.75.
What is mean of data set?The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.
The number of pets owned by eight classmates is shown below:
[tex]1, 3, 2, 2, 1, 3, 3, 1[/tex]
The total number of pets are 8. The mean is the ratio of sum of all the values to the total values. Thus,
[tex]m=\dfrac{1+ 3+ 2+ 2+1+3+3+1}{8}\\m=\dfrac{16}{8}\\m=2[/tex]
The mean absolute deviation (MAD), can be calculate by adding difference of each data from mean and then divided by number of terms.
[tex]\text{MAD}=\dfrac{(1-2)+ (3-2)+ (2-2)+ (2-2)+(1-2)+(3-2)+(3-2)+(1-2)}{8}\\\text{MAD}=\dfrac{6}{8}\\\text{MAD}=0.75[/tex]
Thus, the mean of the data of the number of pets owned by eight classmates is 2 and the mean absolute deviation for the data is 0.75.
Learn more about the mean here;
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im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
Answer:
B
Step-by-step explanation:
That's the only answer that represent the 25% prize rate
Evaluate 6 + x when x = 3
Answer:
6+3 = 9
Glad I could help :)
FOR BRAINLSIT!!!
A
B
C
D
Answer:
The 2nd option is correct
Step-by-step explanation:
The only numbers on a dice greater than 4 are 5 and 6, and we want to get the color blue, so the 2nd option is correct.
Answer:
Imma have to say B but I'm not sure
PLEASE HELP ME ASAP!!!!!!
The length of a house on a blueprint is 4 inches, and the building itself is 32 feet long. If the width of the house is 40 feet, how wide is it on the blueprint?
28 in.
5 in.
10 in.
8 in.
Answer:
10 inches
Step-by-step explanation:
the product of 23
and 20
FIND X. PLEASE HELP............. ..........!
Answer:
x=23
Step-by-step explanation:
Which graph represents an exponential function?
Answer:
The second one
Step-by-step explanation:
If you know about hyper and Para bolas then the second one also know as a frowny fave parabola is a function
What is the effect on the graph of the function f(x) = [xl when f(x) is changed to f(x + 9)?
Plzz
Answer:
when y or f(x) equals x then it's a straight line at the origin. if f(x+9) = |x|
f(x) = |x+9|
if you set that equal to zero then X= -9
so shifting over to the left is the right choice
Step-by-step explanation:
What is the lateral area of the pyramid
Answer:
43.75 ft²
Step-by-step explanation:
[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)
l & w become 3.5, and h becomes 6.
[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)
Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.
[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)
Step 2: Divide 3.5 by 2 to get 1.75.
[tex]s_l[/tex] = 2(3.5√1.75² + 6²)
Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.
[tex]s_l[/tex] = 2(3.5√3.0625 + 36)
Step 4: Add 3.0625 and 36 to get 39.0625.
[tex]s_l[/tex] = 2(3.5√39.0625)
Step 5: The square root of 39.0625 is 6.25.
[tex]s_l[/tex] = 2(3.5 * 6.25)
Step 6: Multiply 3.5 by 6.25 to get 21.875.
[tex]s_l[/tex] = 2(21.875)
Step 7: Multiply 2 by 21.875 to get 43.75.
[tex]s_l[/tex] = 43.75 ft²
The lateral area of this pyramid is 43.75 ft².
65+ ? -15=65 Find missing number
Answer:
65 + 15 - 15 =65
Step-by-step explanation:
pls give brainlist if this was helpful ^^
Consider the circle below.
B
(7w - 4)º
A
C
(5w + 20)
D
Determine mAB.
Answer: d
Step-by-step explanation:
Can you figure out the missing number
Answer:
Im not sure exactly what this is but it seems the answer is 6 because the only number 1-9 thats not there!
Step-by-step explanation:
Hope this helps!! :)
The missing number is 6
What are missing numbers?
Missing numbers are numbers omitted from a group or series of numbers.
The main purpose of finding a missing number is to determine the mechanism by which the numbers are arranged or encoded.
From the given information:
The number given is natural numbers from 1 - 9,The missing number in the series from 1 - 9 in the box is 6.Therefore, we can conclude that the missing number is 6.
Learn more about the missing numbers here:
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What is the total area of the composite figure below?
14.5
cm2
6 cm
A
12 cm 11
3 cm
2.5 cm
12 cm
Find the average rate of change of y=log3 x over the interval 1≤x≤3. Write your answer as a fraction in the simplest form.
Answer:
If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.
The average rate of change is [tex]\frac{6}{25}[/tex]
What is rate of change over an interval?'When we calculate average rate of change of a function over a given interval, we’re calculating the average number of units that the function moves up or down, per unit along the x-axis. We could also say that we’re measuring how much change occurs in our function’s value per unit on the x-axis.'
According to the given problem,
Rate of change formula = [tex]\frac{f(b) - f(a)}{b-a}[/tex]
y = log3x
⇒ a= 1
b= 3
Therefore,
⇒ [tex]\frac{log(3*3) - log(3*1)}{3-1}[/tex]
⇒ [tex]\frac{log9 - log3}{2}[/tex]
⇒[tex]\frac{1}{2}[/tex] log[tex](\frac{9}{3})[/tex]
⇒ [tex]\frac{1}{2}[/tex] * log 3
⇒ [tex]\frac{6}{25}[/tex]
Hence we can conclude the rate of change as [tex]\frac{6}{25}[/tex]
Learn more about rate of change here: https://brainly.com/question/18193470
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I need help with this I will mark you
Answer: A
Step-by-step explanation:
