Answer:
Yes. There is enough evidence to support the claim that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.
P-value = 0.00013.
Step-by-step explanation:
This is a hypothesis test for the difference between proportions.
The claim is that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.
Then, the null and alternative hypothesis are:
[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0[/tex]
The significance level is 0.05.
The sample 1 (Group 1), of size n1=145 has a proportion of p1=0.124.
[tex]p_1=X_1/n_1=18/145=0.124[/tex]
The sample 2 (Group 2), of size n2=355 has a proportion of p2=0.037.
[tex]p_2=X_2/n_2=13/355=0.037[/tex]
The difference between proportions is (p1-p2)=0.088.
[tex]p_d=p_1-p_2=0.124-0.037=0.088[/tex]
The pooled proportion, needed to calculate the standard error, is:
[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{18+13.135}{145+355}=\dfrac{31}{500}=0.062[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.062*0.938}{145}+\dfrac{0.062*0.938}{355}}\\\\\\s_{p1-p2}=\sqrt{0+0}=\sqrt{0.001}=0.024[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.088-0}{0.024}=\dfrac{0.088}{0.024}=3.68[/tex]
This test is a right-tailed test, so the P-value for this test is calculated as (using a z-table):
[tex]\text{P-value}=P(z>3.68)=0.00013[/tex]
As the P-value (0.00013) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.
The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,500 per term, but a financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200. Let ? = 0.05
What is the test statistic for this test?
Answer:
The test statistic for this test is 3.82.
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 8500[/tex]
The alternate hypotesis is:
[tex]H_{1} > 8500[/tex]
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
In this question:
[tex]X = 8745, \mu = 8500, \sigma = 1200, n = 350[/tex]
So
[tex]t = \frac{8745 - 8500}{\frac{1200}{\sqrt{350}}} = 3.82[/tex]
The test statistic for this test is 3.82.
WHICH TWO CHOICES ARE EQUIVALENT TO THE FRACTION BELOW?
Answer:
option B, and D
Step-by-step explanation:
coz when u multiply 2/3 by 2/2, u wud get 4/6,
and when u divide 8/12 by 2/2, u wud agn get 4/6
Answer: 2/3 and 8/12
Step-by-step explanation: When we multiply or divide the numerator and denominator of a fraction by the same number, we get an equivalent fraction.
First write 4/6 in lowest terms by dividing both the numerator and the denominator by 2 to get the equivalent fraction 2/3.
Starting at 4/6 again, if we multiply the numerator and the denominator by 2, we get the equivalent fraction 8/12.
So our two equivalent fractions are 2/3 and 8/12.
It's important to remember the following rule: Whatever you do to the numerator of a fraction, you must also do to the denominator because if you don't, you're changing the value of the fraction.
What is the inverse of the function G(X)=-2(x-4)
Answer:
Step-by-step explanation:
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The inverse of the function G(X)=-2(x-4) is G'(x) = -(1/2)x +4
What is a Function?A function is a law that relates a dependent and an independent variable.
The function is g(x) = -2(x-4)
The inverse of a function is found by interchanging the position of the x an d y variable and then solving for y in terms of x.
g(x) = -2 (x-4)
y = -2(x-4)
Interchanging y to x
x = -2( y-4)
x = -2y +8
(x - 8)/ -2 = y
y = 4 - (1/2)x
To know more about Function
https://brainly.com/question/12431044
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la suma de la longitud de una semicircunferencia y su diametro es 4(pi+2)cm . determine el arrea del circulo
Answer: [tex]16\pi \;cm^2[/tex]
Step-by-step explanation:
La longitud de una semicircunferencia es [tex]l=\pi r[/tex]
[tex]\pi r+2r=4(\pi+2)\\r(\pi+2)=4(\pi+2)\\r = 4\frac{\pi+2}{\pi+2} \\r=4[/tex]
[tex]A = \pi r^2 = \pi (4)^2=16\pi[/tex]
The duration of telephone calls directed by a local telephone company: σ = 3.6 minutes, n = 560, 90% confidence. Round your answer to the nearest thousandth
Answer:
The margin of error for the confidence interval is of 0.25 minutes.
Step-by-step explanation:
With what we are given, the only thing that this question can be asked is the margin of error for the confidence interval of the mean duration of telephone calls directed by a local telephone company.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Using what we are given:
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.645*\frac{3.6}{\sqrt{560}}[/tex]
[tex]M = 0.25[/tex]
The margin of error for the confidence interval is of 0.25 minutes.
Which ordered pair is a solution of the equation?
y-3=5(x-2) Choose 1 answer:
A
Only (2,3)
B
Only (3,2)
C
Both (2,3) (3,2)
D
Neither
Answer:
A Only (2, 3)
Step-by-step explanation:
The given equation is in point-slope form:
y -k = m(x -h) . . . . . a line with slope m through point (h, k)
The point in the given equation is ...
(h, k) = (2, 3)
so you know the equation is satisfied at that point.
__
When you try the other point, you find ...
For (x, y) = (3, 2), you have
2 -3 = 5(3 -2)
-1 = 5(1) . . . . FALSE
Point (3, 2) does not satisfy the equation.
Only (2, 3) is a solution of the equation
_____
Of course, the equation of a line is satisfied by an infinite number of points. Of the two listed here, only (2, 3) is a solution.
Write an equation for "nine times a number decreased by five is the same as six times the same number increased by seven.
Answer: 9*x-5 = 6*x+7
Step-by-step explanation:
First we have to understand what it is saying.
9 times x (being a number) minus 5 equal to 6 times x plus 7
Now lets put it into an equation.
[tex]9*x-5 = 6*x+7[/tex]
The weight of an object on a particular scale is 145,2 lbs. The measured
weight may vary from the actual weight by at most 0.3 lbs. What is the range
of actual weights of the object?
Answer:
145.2 + .3 = 145.5
145.2 - .3 = 144.9
C. 144.9 <= x <= 145.5
Step-by-step explanation:
The function f determines the cost (in dollars) of a new Honda Accord in terms of the number of years t since 2000. That is, f ( t ) represents the cost (in dollars) of a new Honda Accord t years after 2000. Use function notation to represent each of the following. The cost (in dollars) of a new Accord in 2006?
A. How much more a new Accord costs in 2013 as compared to the cost of a new Accord in 2010?
B. A new Accord in 2013 is how many times as expensive as a new Accord in 2010?
C. $980 dollars more than the cost of a new Accord in 2016.
Complete Question
The function f determines the cost (in dollars) of a new Honda Accord in terms of the number of years t since 2000. That is, f ( t ) represents the cost (in dollars) of a new Honda Accord t years after 2000. Use function notation to represent each of the following. The cost (in dollars) of a new Accord in 2006?
A. How much more a new Accord costs in 2013 as compared to the cost of a new Accord in 2010?
B. A new Accord in 2013 is how many times as expensive as a new Accord in 2010?
C. In 2016 , some cars cost $980 more than the cost of a new Accord.How much does the other cars cost (in dollars)in 2016?
Answer:
a
The cost of a new Accord in 2013 compared to 2010 is z = f(13) - f(10)
b
The magnitude at which the cost of a new Accord in 2013 is greater than the cost in 2010 is
[tex]x = \frac{f(13)}{f(10)}[/tex]
c
The cost of the other cars is 2016 is r = 980 + f(16)
Step-by-step explanation:
From the question we are told that
The cost (in dollars) of a new Honda Accord is f(t)
Where t is number of years after 2000
The cost of the Honda Accord at 2013 is
f(2013 - 2000) = f(13)
The cost of the Honda Accord at 2010 is
f(2010 - 2000) = f(10)
So the cost difference between 2013 and 2010 is mathematically evaluated as
z = f(13) - f(10)
Let constant at which the cost of Honda Accord in 2013 is greater than its cost at 2010 be x
So
f(13) = x f(10)
=> [tex]x = \frac{f(13)}{f(10)}[/tex]
The cost of the Honda Accord in 2016 is mathematically evaluated as
f(2016 - 2000) = f(16)
Now the cost of these other cars is mathematically evaluated as
r = 980 + f(16)
The difference between the cost of Accord in 2013 and 2010 is [z = f(13) - f(10)] and this can be determined by using the given data.
Given :
f(t) represents the cost (in dollars) of a new Honda Accord t years after 2000.
A). The cost of Accord in 2013 is given by:
[tex]f(2013-2000) = f(13)[/tex]
The cost of Accord in 2010 is given by:
[tex]f(2010-2000) = f(10)[/tex]
So, the difference between the cost of Accord in 2013 and 2010 is:
z = f(13) - f(10)
B). Let the constant be 'a' then the value of 'a' is:
[tex]a = \dfrac{f(13)}{f(10)}[/tex]
So, the new Accord in 2013 'a' times as expensive as a new Accord in 2010.
C). Cost of the Honda Accord in 2016 is:
[tex]f(2016-2000) = f(16)[/tex]
The cost of the other cars is:
r = 980 + f(16)
For more information, refer to the link given below:
https://brainly.com/question/14210034
Which expressions are equivalent to 30 - 3y - 9?
3(17-y)
3(20-y-3)
17(3-y)
Or 20(3-3y)-9
Answer:
3(20 - y - 3)
Explanation:
If you expand it:
3 · 20 = 30
3 · -y = -3y
3 · -3 = -9
Combine them altogether to get:
30 - 3y - 9
At a car rental agency, 0.39 of the cars are returned on time. A sample of 12 car rentals is studied. What is the probability that more than 3 of them are returned on time?
Answer:
Probabilty of more than 3 =0.8474
Step-by-step explanation:
Probabilty of returned on time P= 0.39
Probabilty of not on time q=1-0.39= 0.61
Sample = 12 cars
Selected items = 3 cars
Probabilty of3 returned on time
= 12C3 * (0.39)^3 * (0.61)^9
= 220*(0.059319)*(0.011694146)
= 0.1526
Note**** C represents combination
So probability of more than 3 means greater than 3 = from 4 above
Probability of more than 3 = 1-probability of three
Probabilty of more than 3 = 1-0.1526
Probabilty of more than 3 =0.8474
need help!!!! asap!!!!
Answer:
number 15 would be B sorry i dont understand number 14
what is the solution to -4[2×+6]=-24
Answer:
x=0
Step-by-step explanation:
-4(2x+6) = -24
distribute the -4 to the parentheses
-8x-24 = -24
add the 24 over
-8x=0
divide both sides by -8
x=0
what is the value of x in the equation 4x +8y, when y =0.8?
Answer:
-1.6
Step-by-step explanation:
4x +8y=0
y=0.8 ⇒
4x+8*0.8=04x+6.4=04x=-6.4x= -6.4/4x= -1.6A cube has sides that are 3 in. long. What is the surface area of the cube?
OA) 72 in2
OB) 54 in 2
OC) 36 in2
OD) 61 in 2
Answer:
B 54in
Step-by-step explanation:
What is the volume of a hemisphere with a radius of 4.8 ft, rounded to the nearest
tenth of a cubic foot?
Answer: 231.6
Step-by-step explanation:
Answer:
231.6 ft³
Step-by-step explanation:
volume of sphere:
V=[tex]\frac{4}{3} \pi r^{3}[/tex]
radius=4.8
plug in:
[tex]\frac{4}{3} \pi (4.8)^{3}[/tex]
463.246686328
Volume of Hemisphere HALF of Volume of Sphere:
[tex]\frac{463.246686328}{2}[/tex] =231.623343164
≈231.6 ft³
A sculpture is in the shape of a square pyramid. The sculpture has a height of 36 feet and a volume of 19,200 cubic feet. Find the side length of the square base
Answer:
40ft
Step-by-step explanation:
The volume of a square pyramid is given by:
[tex]V=\frac{l^2h}{3}[/tex]
where V is the volume, l is the length of the square base, and h is the height.
Since we need to find the length, we solve for [tex]l[/tex] in the last equation:
[tex]l^2h=3V\\\\l^2=\frac{3V}{h} \\\\l=\sqrt{\frac{3V}{h} }[/tex]
and now, we substitute the known values:
[tex]V=19,200ft^3\\h=36ft[/tex]
and we get the following:
[tex]l=\sqrt{\frac{3(19,200ft^3)}{36ft} }\\ \\l=40ft[/tex]
the length of the square base is 40ft
at noon a train leaves Washington DC headed for Charleston South Carolina a distance of 500 Miles the train traveling at a speed of 44 miles at 1 p.m. a second train leaves Charleston heading for Washington DC traveling 32 miles an hour how long after the train view Charleston where the trains pass each other
Suppose you take a random sample from a normal population and you want to determine whether there is sufficient statistical evidence to claim that the population variance differs from a corresponding variance specified in a government contract. Which type of test is appropriate, a test of one variance or a test of two variances?
Answer:
A test óf one variance
Step-by-step explanation:
A test of one variance. In this case, one will be testing against the hypothesized variance that was given.
5TH GRADE MATH!!!! PLEASE HELP BRAINLEIST AND 5 STARS!!!!!!!!!!!!!!!!!!!!
Answer with Step-by-step explanation:
1. V= 17*24*32= 13056
2. V=Same as above
3. V= 50*24*22=26400
4. Add them up and total
V= 13056*2+26400
V= 52510 yds
Answer:
So the volume is 52,512 cubic yards or 52,512 yd³
Step-by-step explanation:
1. V = 17 × 24 × 32
V = 13,056
2. Exact same thing as 1 (13,056)
3. V = 50 × 24 × 22
V = 26,400
4. 13,056 + 13,056 + 26,400 = 52,512
Hope that helped :)
Some parts of California are particularly earthquake- prone. Suppose that in one metropolitan area, 25% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random; let X denote the number among the four who have earthquake insurance. a. Find the probability distribution of X. [Hint: Let S denote a homeowner who has insurance and F one who does not. Then one possible outcome is SFSS, with proba bility (.25)(.75)(.25)(.25) and associated X value 3. There are 15 other outcomes.] b. Draw the corresponding probability histogram. c. What is the most likely value for X
Answer:
a. Binomial random variable (n=4, p=0.25)
b. Attached.
c. X=1
Step-by-step explanation:
This can be modeled as a binomial random variable, with parameters n=4 (size of the sample) and p=0.25 (proportion of homeowners that are insured against earthquake damage).
a. The probability that X=k homeowners, from the sample of 4, have eartquake insurance is:
[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{4}{k} 0.25^{0}\cdot0.75^{4}[/tex]
The sample space for X is {0,1,2,3,4}
The associated probabilties are:
[tex]P(x=0) = \dbinom{4}{0} p^{0}(1-p)^{4}=1*1*0.3164=0.3164\\\\\\P(x=1) = \dbinom{4}{1} p^{1}(1-p)^{3}=4*0.25*0.4219=0.4219\\\\\\P(x=2) = \dbinom{4}{2} p^{2}(1-p)^{2}=6*0.0625*0.5625=0.2109\\\\\\P(x=3) = \dbinom{4}{3} p^{3}(1-p)^{1}=4*0.0156*0.75=0.0469\\\\\\P(x=4) = \dbinom{4}{4} p^{4}(1-p)^{0}=1*0.0039*1=0.0039\\\\\\[/tex]
b. The histogram is attached.
c. The most likely value for X is the expected value for X (E(X)).
Is calculated as:
[tex]E(X)=np=4\cdot0.25=1[/tex]
Determine if the triangles below are similar and explain.
Answer:
The answer would be C the triangles are not similar
Step-by-step explanation:
Can someone please answer this quick!
It is recommended that one smoke detector be installed for every 500 square feet of floor area in a building. Write an equation to determine s, the number of smoke detectors needed for a building with 7,250 Square feet of floor space.
How many smoke detectors are needed for that building?
Answer:
Equation- 7,250 divided by 500
Answer- 15
Step-by-step explanation:
thanks google for letting me look this up! ;)
Answer:
s = 7,250/500
Step-by-step explanation:
If you want a smoke detector every 500 feet you divide the total amount (7,250) into (s) many 500 foot spaces. This means that you could also divide 7,250 by 500 ft to get s or the number of smoke detectors needed.
$1,034,473.45 spell it out
Answer:
One million, thirty four thousand, four hundred and seventy three dollars and forty five cents.
Ali wraps a birthday present in a tube that has a length of 14 inches and a diameter of 6 inches.
a. a. How much space can the gift hold?
Answer:
395.84
Step-by-step explanation:
The radius squared is nine. 9 times pi then 14, is 395.84
99 points for brainliest
Answer:
144
Step-by-step explanation:
4 triangles = 1/2 x 6 x 9 x 4 = 108
1 sq base = 6 x 6 = 36
total surface area = 36 + 108 = 144
if 3 triangles the base wouldn't be a square thus not possible to solve
Answer:
144
Step-by-step explanation:
SA = Area of base + 4 area of triangles
6² + 4(9 × 6 × 1/2)
36 + 4(27)
= 144
What’s the correct answer for this question?
Answer:
A.
Step-by-step explanation:
JLK = 360-154 (Circle is 360°)
So
JLK = 206
A 80 kg patient needs a medication x in the amount of 0.25 mg/kg/day. The medication comes in a liquid solution of 50 mg for every 10mg. How many ml of this solution will this patient need in a day
Answer:
v = 100ml
Step-by-step explanation:
0,25mg/kg
-----------> 0,25 * 80 = 20mg
50ml for every 10mg
'v"ml for 20mg
10 * v = 50 * 20
v = 100ml
3. A sphere has a volume of 4,500Tt cubic inches. What is the radius of the
sphere?
A. 3,375 inches
B. 15 inches
C. 30 inches
D. 225 inches
Answer:
10.24 in
Step-by-step explanation:
Formula for volume of a sphere
= 4/3πr³
This sphere has a volume of
4,500cubic inches= 4500in³
The radius will be equall to
4/3πr³= 4500in³
r³ =( 4500 * 3)/(4π)
r³ = 1074.296
r = 3√1074 296
r = 10.24 in
There are 232 people waiting in line for
an amusement park ride. Each car on
the ride will be filled with 5 people.
How many cars are needed to hold all
the people waiting in line?
TRY IT
Answer:
232 ÷ 5 = 46.4
you will need 47 cars.
