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
Where does the graph of f(x) = (x + 9)(x - 4) cross the x-axis?
hi
f(x) = (x+9) (x-4)
if it's cross the x axis it's means f(x) = 0
(x+9) (x-4) = 0 means x+9 = 0 so x = -9 and x-4 = 0 so x = 4
answers f(x) = 0 for x = -9 and x = 4
7
1. Represent these numbers on the number line. (i)7÷4
Answer:
Answer is in picture
Step-by-step explanation:
Hope it is helpful.....
26.5 multiplied by 0.38
Answer:
10.07
Step-by-step explanation:
26.5 x 0.38 = 10.07
Can I get brainliest
hi can you please help me with my work
offering 19 points to whoever can solve this need the answers
Answer:
Excuse Me! I believe you forgot to add your question and or picture with the question(s) in it! I would highly recommend to re-upload your question(s) to get the desired information needed!
Yours Truely, TheAnimeCatUwU
PLEASE HELP ME ANSWER!!!
Answer:
61.3°
Step-by-step explanation:
For angle x, 12 is the adjacent leg. 25 is the hypotenuse.
The trig ratio that relates the adjacent leg and the hypotenuse is the cosine.
cos A = adj/hyp
cos x = 12/25
x = cos^-1 12/25
x = 61.3°
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 length of a rectangle is 3 yards less than 5 times the width. If the perimeter is 102 yards, find the length and the width of the rectangle.
Answer:
Width = 9 yards, length = 42 yards
Step-by-step explanation:
Perimeter = 2xlength + 2xwidth. Let's call length L and width W. The question also states that L = 5W-3. Therefore, 102 = 2x (5W-3) + 2W. Then, 102 = 12W - 6. 108 = 12W, so W = 9 yards. Since L = 5W - 3, we get 45-3 = 42 yards.
Who knows the answer for this problem
- Each friend has 10 nails to paint
- There are 8 friends
- Jackie finished painting 4 friend's nails
If there are 8 friends, and each friend has 10 nails to paint, then there are 80 nails that need to be painted in total.
Jackie finished painting 40 nails.
So the math sentence will be:
80 - 40 = 40
--------------------------------------------------
Jackie needs to paint 40 more nails.
The ratio below shows the relationship between the weight of apples purchased and the total cost of the apples. 1 lb = $2 / 4 lb = $8 / 6 lb = $12 / 10 lb = $20 When the weight of apples is increased by a factor of 4, by what factor does the total cost increase? *
Mark only one oval.
A. 4
B. 3
C. 6
D. 8
Answer:
D
Step-by-step explanation:
Jamal can run 0.5 miles in 4 minutes. If he keeps the same pace and runs for 14.4 minutes, how many miles will he have run?
Answer:
1.8
Step-by-step explanation:
First, we calculate the speed. That is 0.5/4. Then we multiply by the min. he ran which is 14.4. The answer gets you to 1.8
By the way, can you follow me on Brainly?
Thanks!
Answer:
14/4=3.5
3.5x0.5=1.75 miles
He will have run 1.75 miles
I NEED HELP PLZ ( WILL GIVE BRAINLIST) NO LINKS
Answer:
2 1/2
Step-by-step explanation:
i used the lwh for this/ (length) (width) (height)
Branliest will be appreciated and thanks!
Ms. jones wants to take her students for all of her classes on a field trip to see a Broadway production. There are three shows to choose from. She wants to determine which show students would like to see. which sample would be the most appropriate for this survey?
A: Every fifth student that enters her classroom
B: Her Honors class
C: 5 boys in each of her class
D: At the end of the day, ask teachers what they think student will like
Answer:
A
Step-by-step explanation:
Because it is a random sample
What is the volume of the rectangular solid below?
plzzzz help
Someone please please help me with this!!!
Answer:
[tex]4x {}^{2} - 36 \\ = (2x + 6)(2x - 6) \\ hence \: option \: b \: is \: correct[/tex]
X = {0, 10, 100, 1000}
Y = {100, 1000}
Answer:
What is The question?
Step-by-step explanation
I will help
1. Josh is reading a book that contains 100 pages. If he reads 1/3 of the book in 1/6 of an hour, how many pages per hour does Josh read?
100/3=33.33.... 1/6= 10 mins 33.33....*6= 199.98
hope this helped you out!!
50 POIINTS!!!
A coin is flipped 20 times. The results are 12 heads and 8 tails. Determine the theoretical probability of getting heads.
60%
40%
20%
50%
SOMEONE PLEASE PUT STEPS TO SOLUTION.
Answer:
What we have here is experimental probability: 12 heads out of 20 tosses. The fraction 12/20 reduces to 6/10, or 0.60, which corresponds to 60%.
In ΔQRS, s = 980 cm, r = 300 cm and ∠R=34°. Find all possible values of ∠S, to the nearest 10th of a degree.
Answer:
S=sin −1 (1.8266968)=ERROR
No possible triangles
Step-by-step explanation:
red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 5 or 9, you win $6. If the sum is 6, 7, or 12, you win $2. If the sum is any other value (2, 3, 4, 8, 10, or 11), you lose $4. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X
Answer:
The expected value of X is $0.2222.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] possible outcomes.
Desired outcomes:
Sum 5: (1,4), (2,3), (3,2), (4,1).
Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)
Sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1)
Sum of 9: (3,6), (4,5), (5,4), (6,3);
Sum of 12: (6,6)
Probabilities:
4 + 4 = 8 outcomes with a sum of 5 or 9.
8/36 = 2/9 probability of a sum of 5 or 9.
12 outcomes with a sum of 6, 7 or 12.
12/36 = 1/3 probability of the sum being 6, 7 or 12.
36 - 20 = 16 outcomes in which the sum is any other value. So
16/36 = 4/9 probability of a sum of any other value.
What is the expected value of X?
2/9 probability of earning $6.
1/3 = 3/9 probability of earning $2.
4/9 probability of losing $4.
Multiplying each outcome by its probability, we find the expected value. So
[tex]E = \frac{2}{9}*6 + \frac{3}{9}*2 - \frac{4}{9}*4 = \frac{12 + 6 - 16}{9} = \frac{2}{9} = 0.2222[/tex]
The expected value of X is $0.2222.
A line has a slope of -5 and includes the points (-1,r) and (-2,-2). What is the value of r?
Answer:
-7
Step-by-step explanation:
a bakery place the following price for bagels one bagel for $1.50 two bagels for$2.25 a half a dozen for
$6.50 a dozen for $12 is the price per bagel proportion 2 the number of bagels brought.
Answer:
no
Step-by-step explanation:
1 bagel $1.50 ---------> unit cost: $1.50/bagel
2 bagels $2.25
6 bagels $6.50
12 bagels $12 ---------> unit cost: $1/bagel
Since the unit costs are not equal, the prices are not proportional.
Answer the question in the picture plz
A number raised to a fraction would be the same as a root to the inverse of the fraction.
What that means is the sqrt(8) raised to 1/4 is the same as being 4th root of 8.
So rewriting the given equation you would have cubic root 8 x 4th root 8
Combine the roots by multiplying: 3 x 4 = 12
The equivalent equation would be C. 12 root 8 ^ x
25 - [2x(18 divided by 3) + 2
Answer:
the answer is 11
Step-by-step explanation:
if you take 18 divided by 3 and then 2 times that plus 2 and minus 25 it is 11
Complete the square in the following quadratic equation
Answer:
x^2 + 2x = 1 = - 1
Step-by-step explanation:
x^2 + 2x + 3 = 1
x^2 + 2x + 3 - 2 = 1 - 2
x^2 + 2x + 1 = - 1
Plz show work, NEED HELP FAST PLZ
Answer:
5. 4 6. 6
Step-by-step explanation:
Number 5
[tex]10-2\sqrt{9}[/tex]
[tex]2\sqrt{9}=6[/tex]
[tex]=10-6[/tex]
Subtract the numbers: 10 - 6 = 4
[tex]=4[/tex]
Number 6
[tex]70-\left(\sqrt[3]{64}\right)^3[/tex]
[tex]\left(\sqrt[3]{64}\right)^3=64[/tex]
[tex]=70-64[/tex]
Subtract the numbers: 70 - 64 = 6
[tex]=6[/tex]
Order the following numbers from least to greatest: 2.74, 1/9, 4^2, -2^3, 32.5%,-6
Answer:
−
2
3
,
−
6
,
1
9
,
32.5
%
,
2.74
,
4
2
Step-by-step explanation:
(2 + 3x)
62
Angle Relationship: Adjacent OR Vertical
Answer:
adjacent
Step-by-step explanation:
What is 38,807 rounded to the nearest thousand?
Answer:
that would be 39,00
Step-by-step explanation:
Answer:
39,000
Step-by-step explanation:
807 is closer to 1,000 then 0 so add another 1,000.
Have a great day!
A nurse is investigating the birth weights of non-premature babies. She selects a random sample of 41 such babies, and found a mean weight of 3506.4 grams and a sample standard deviation of
494.2 grams. Find a 95% confidence interval for the mean birth weight of all non-premature babies. Show your calculation for the confidence interval as well as the final confidence interval rounded to one decimal place. Then write a sentence that gives the interpretation of your confidence interval, including the correct units.
Answer:
The 95% confidence interval for the mean birth weight of all non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 41 - 1 = 40
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0211
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0211\frac{494.2}{\sqrt{41}} = 156[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 3506.4 - 156 = 3350.4 grams
The upper end of the interval is the sample mean added to M. So it is 3506.4 + 156 = 3662.4 grams
The 95% confidence interval for the mean birth weight of all non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.
