The z-test compares the two sample to determine the existence of a
difference in the two proportion.
The Z-statistic or test of the difference in proportion is approximately -2.106.Reasons:
The given parameter are;
Number of women, n₁ = 120 women
Number of men, n₂ = 150 men
The population size = 150,000
Percentage of women that are smokers in population, [tex]\hat p_1[/tex] = 25%
Percentage of men that are smokers in population, [tex]\hat p_2[/tex] = 37%
The Z statistic is given as follows;
[tex]\displaystyle Z= \mathbf{\frac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\frac{1}{n_{1}}+\frac{1}{n_{2}} \right )}}}[/tex]
Number of men = 0.37 × 150 = 55.5
Number of women = 0.25 × 120 = 30
[tex]\displaystyle \hat p = \frac{55.5 + 30}{150 + 120} = \frac{19}{60}[/tex]
Which gives;
[tex]\displaystyle Z=\frac{0.25-0.37}{\sqrt{\frac{19}{60} (1-\frac{19}{60} )\left (\frac{1}{120}+\frac{1}{150} \right )}} \approx -2.106[/tex]
The Z-statistic is approximately -2.106
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The sum of the speed of two trains is 725.6miles per hour. If the speed of the first train is 6.4 mph faster than that of the second train find the speeds of each
Step-by-step explanation:
change it in meter and solve it
In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer.
If the spectator has an angle of 115° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole?
hole?
25.6°
39.4°
64.3°
65.0°
Using the law of sines, it is found that the angle that the golfer has between the spectator and the hole is of 25.6º.
What is the law of sines?Suppose we have a triangle in which:
The length of the side opposite to angle A is a.The length of the side opposite to angle B is b.The length of the side opposite to angle C is c.The lenghts and the sine of the angles are related as follows:
[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]
Hence, in this problem, we have that:
[tex]\frac{\sin{115^\circ}}{200} = \frac{sin{x}}{140}[/tex]
[tex]sin{x} = \frac{140\sin{115^\circ}}{200}[/tex]
[tex]x = \arcsin{0.6344}[/tex]
x = 39.4º.
Considering that the sum of the internal angles of the triangle is of 180º, the angle that the golfer has between the spectator and the hole is given by:
A = 180 - (115 + 39.4) = 25.6º.
More can be learned about the law of sines at https://brainly.com/question/27174058
#SPJ1
Answer:
25.6
Step-by-step explanation:
I got it right
2. Suppose that you are looking for a student at your college who lives within five miles of you. You know that 55% of the 25,000 students do live within five miles of you. You randomly contact students from the college until one says he or she lives within five miles of you.
(a) What is the probability that you need to contact four people?
(b) How many students from the college you expect to contact until you find one lives within five miles of you?
(C) What is the standard deviation of the number of students to be contacted until one says who lives within five miles of you?
(d) Suppose you randomly ask 5 students at your college, what is the probability that 3 of them live within five miles of you?
(e) Suppose you randomly ask 5 students at your college, what is the expected number of students who live within five miles of you?
How to do this five questions ? thanks
Using the binomial distribution, it is found that:
a) There is a 0.0501 = 5.01% probability that you need to contact four people.
b) You expect to contact 1.82 students until you find one who lives within five miles of you.
c) The standard deviation is of 1.22 students.
d) There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.
e) It is expected that 2.75 students live within five miles of you.
For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
55% of the students live within five miles of you, thus [tex]p = 0.55[/tex].Item a:
This probability is P(X = 0) when n = 3(none of the first three living within five miles of you) multiplied by 0.55(the fourth does live within five miles), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]
[tex]p = 0.091125(0.55) = 0.0501[/tex]
0.0501 = 5.01% probability that you need to contact four people.
Item b:
The expected number of trials in the binomial distribution until q successes is given by:
[tex]E = \frac{q}{p}[/tex]
In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:
[tex]E = \frac{1}{0.55} = 1.82[/tex]
You expect to contact 1.82 students until you find one who lives within five miles of you.
Item c:
The standard deviation of the number of trials until q successes are found is given by:
[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]
Hence, since [tex]q = 1, p = 0.55[/tex]:
[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]
The standard deviation is of 1.22 students.
Item d:
This probability is [tex]P(X = 3)[/tex] when [tex]n = 5[/tex], hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]
There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.
Item e:
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
Hence, since [tex]n = 5, p = 0.55[/tex]:
[tex]E(X) = 5(0.55) = 2,75[/tex]
It is expected that 2.75 students live within five miles of you.
A similar problem is given at https://brainly.com/question/25343741
what is the trend of the graph of the equation y = 3x + 10
Answer:
3x+y-10
Step-by-step explanation:
please Mark my answer in brainlist
3 of 8
Write 264 as a product of primes.
Use index notation when giving your answer.
Answer: The prime factors of 2 × 2 × 2 × 3 × 11. The final answer is 264.
Find the sum of the pair of numbers.
8+(-2)
Answer:
6
Step-by-step explanation:
8-2
=8+-2
=6
the sum just means when u add them both together hope this helps! u just do 8 take away 2 because its a negative
The vertex angle of an isosceles triangle is 127º. What is the measure of each base angle?
Answer:
Step-by-step explanation:
(180 - 127) / 2 = 26.5°
tìm m để phương trình có 1 nghiệm duy nhất
x+2y-2z=2
3x+7y-z=5
2x+4y+mz=7
Rewrite the system of equations in matrix form.
[tex]\begin{bmatrix}1&2&-2\\3&7&-1\\2&4&m\end{bmatrix} \mathbf x = \mathbf b[/tex]
This system has a unique solution [tex]\mathbf x = \mathbf A^{-1}\mathbf b[/tex] so long as the inverse of the coefficient matrix [tex]\mathbf A[/tex] exists. This is the case if the determinant is not zero.
We have
[tex]\det(\mathbf A) = m+4[/tex]
so the inverse, and hence a unique solution to the system of equations, exists as long as m ≠ -4.
what is the domain of the relation below?
Answer:
The domain of a relation is the set of all first coordinates (x-coordinates) of the ordered pairs. The range of a relation is the set of all second coordinates (y-coordinates) of the ordered pairs.Step-by-step explanation:
Answer:
A - {-1, 0, 1, 3}
Step-by-step explanation:
the domain is how far the relation stretches across the x axis. the points here are -1, 0, 1, and 3, so that is the domain
Need help please need help
Answer:
b.y=4
c. x=6
These are the answers hope this helps
Answer:
sorry cant help
Step-by-step explanation:
4 4/6 + 3 7/8 = ? ........................................
Answer:
[tex]8\frac{13}{24\\}[/tex]
Step-by-step explanation:
[tex]4\frac{4}{6}+3\frac{7}{8}[/tex]
[tex]\frac{28}{6}+\frac{31}{8}=\frac{205}{24}=8\frac{13}{24}[/tex]
HELPPPPPPPP ASAPPPPPPPPPPPPPPP!!!!!!!!!!!!!!
Please help me out with this Math sheet. Thanks
Answer:
1. acute
2. obtuse
3. right
4. acute
5. straight
6. obtuse
7. acute
8. obtuse
9. straight
10. ∠ EAD , ∠ CED , ∠ BCE , ∠ BEA , ∠EBC
11. ∠CDA , BCD
12. ∠AED ,∠BEC
13. ∠ AEC, ∠ BED
14. ∠ EAU , ∠EUI , ∠IUO , ∠OAE
15. ∠ EUO , ∠IUA
16. ∠AUO , ∠EIO
3x + 3y = 9
-3x + 2y = 1
Answer:
X=1
Y=2
Step-by-step explanation:
put 1 in for X
3(1)+3(y)=9
-3(1)+2(y)=1
now put 2 for Y
3(2)+3(2)=9
-3(1)+2(2)=1
3•1= 3
3•2=6
3+6=9
-3•1=-3
2•2=4
-3+4=1
If point A is located at (-7 , 5) on a coordinate plane, and point B is located at (4 , 5), what is the distance between the two points?
Answer:
[tex]11[/tex]
Step-by-step explanation:
[tex]\sf{Use\: the\: distance\: formula\: to\: determine\: the\: distance\: between\: two\: points.[/tex]
[tex]\sf{Distance=\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
[tex]\mathrm{Plug\:the\:points}[/tex]
[tex]\sqrt{\left(4-\left(-7\right)\right)^2+\left(5-5\right)^2}[/tex]
[tex](4+7)^2=11^2\\(5-5)^2=0[/tex]
[tex]\sqrt{11^2+0}[/tex]
[tex]11^2+0=11^2\\\sqrt{11^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule:\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\:\mathrm{is\ greater\ than \:or\ equal\: to \:0}[/tex]
[tex]=11[/tex]
In my town, gas prices are always listed to the thousandth place. Since the smallest coin we have is the penny, we have to round them to the hundredth place. If the price of gas is $8.162, what will the price be when we round it to the hundredth place?
What is 3/4+1 2/3+1/2=
Answer:
Exact Form:
35/12
Decimal Form:
2.916- (6 goes on)
Mixed Number Form:
2 11/12
3. Mr. Morris orders a bottle of lotion that contains (15)liters. He use 2/6 of a liter of
lotion a day. How many days can he use the bottle of lotion until it is empty?
Pls help and show me how to do it
Answer:
45
Step-by-step explanation:
If he uses 2/6 of a liter thats 3 days for 1 liter.
3 x 15 is 45. so 45 days
Solve for r.
17r–13r=20
r=
Answer:
Step-by-step explanation:
Solve for r.
17r–13r=20
4r = 20
r = 20 : 4
r = 5
Due tomorrow: Answer using steps
Answer:
22.6/62 = 0.364 is the answer
Refer to the attachment
15 mm 4 mm 3 mm what is the surface area of the prism
Answer:
234 millimeters^2 is the answer
Step-by-step explanation:
Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.
1. If she eats 2 servings of granola, how many calories does she eat?
calories
2. If she wants to eat 1050 calories of granola, how many servings should she eat
servings
3. Write an equation that will give us the number of calories (c) from the number of servings (s) eaten.
Answer:
1. 700 calories
2. 3 servings
3. c = 350s
Step-by-step explanation:
1. 5 servings = 1,750 calories
divide by 5 on both sides
1 serving = 350 calories
multiply both sides by 2
2 servings = 700 calories
2. 1 serving = 350 calories
1050 calories = 350 calories X 3
3 servings = 1,050 calories
3. 1 serving = 350 calories
# of calories = 350 per serving
c = 350s
1. If (3,-5) is an ordered pair of the
function F(x), which of the following
must be an ordered pair of the
inverse of F(x)?
Answer Choices:
(3,-5)
(3,5)
(-5,3)
(5,-3)
Answer:
(-5,3)
Step-by-step explanation:
for a function, an x input produces a y output.
the inverse of that function would, when given the y value as an input, have the x value as the output. The x and y values change places.
The equation C=5(F−32)9 can be used to convert temperatures in degrees Fahrenheit to degrees Celsius.
State of Water Temperature (°F)
Freezing Point 32
Boiling Point 212
Find the freezing point and boiling point of water in degrees Celsius.
a. freezing point:
°C
b. boiling point:
°C
The part wasted at the consumer or retail level is referred to as food waste. We make this distinction to address the root.
Answer:
Both of the freezing points would be °C
If you get this right i'll give u 40 :)
Answer:
1.NO 2. Yes
Step-by-step explanation:
Answer:
The first and second one is no
Step-by-step explanation:
(1/5) to the second power is 1/25 and adding 25/25 gets 26/25 which is not equal to 24/25
1 to the second power is still one and (1/4) to the second power is 1/16. 16/16 plus 1/16 is 17/16 which is not equal to 25/26
The vertex of a parabola is (-1, 4). What is the equation of the axis of symmetry of the parabola?
Answer:
x = - 1Step-by-step explanation:
The vertex is given (-1, 4).
The axis of symmetry is a vertical line and passes through vertex.
Since the x- coordinate of vertex is - 1, the line of symmetry is x = - 1.
Answer:
x=-1
Step-by-step explanation:
Parabola is symmetric on both sides of the vertex
The axis of symmetry is the x coordinate of vertex
Here the vertex is (-1,4)
So axis of symmetry is x=-1
The bag has 99 buttons. Draw more buttons so there are 105 buttons in all. Write the numbers as you count.
Answer:
100 101 102 103 104 105
Step-by-step explanation:
im kinda confused
1. Which of the following functions could match the graph shown below?
a. f(x)= 2x
b. f(x) = 2 + x
c. f(x) = x + 0.5
d. f(x) = 0.5x
2. If a car travels for 200 miles at a constant rate of 70 miles per hour, which equation below can NOT be used to find the travel time?
a. 20070=t
b. 70200=t
c. 20 = 7t
d. 200 = 70t
Which of the following situations could match this formula? (There may be more than one correct answer.)
500=100x
a. An object travels 500 feet for 100 seconds.
b. An object travels at 500 miles per hour for 100 hours.
c. An object travels 500 miles at a rate of 100 miles per hour.
d. An object travels 100 inches per minute for 500 minutes.
We want to answer different things regarding linear equations.
The answers are:
1) d2) b 3) a and c.1) We want to see which function matches the given graph.
So, we can see that this is a linear function, that passes through the origin, so the y-intercept is y = 0.
We also can see that it passes through the point (2, 1).
Then we have that:
1 = a*2 + 0
1/2 = 0.5 = a
So the linear equation is:
y = 0.5*x
Here the correct option is d.
2) We know the relation:
distance = speed*time
So any permutation of these values can be used to find the time.
Then the option that can not be used to find the travel time is:
b) 70/200 = t
Because in this case, we are taking:
speed/distance = time
And that is incorrect.
3) We have the formula:
500 = 100*x
Again, using:
Distance = speed*time
The options that are correct are the ones where 500 represents a distance and the 100 represents time or speed, then the correct options are:
a and c.
If you want to learn more, you can read:
https://brainly.com/question/2263981
A square is 3 inches by 3 inches. What is its area
Answer:
9
Step-by-step explanation:
Because area is multipication, you need to multiply legth and width. So 3x3=6. Hope it helps! :)
I NEED HELP ASAP NO LINKS
Answer:
d = y = 4.25x
correct answer i would say.
Step-by-step explanation:
Cheddar cheese cost 4.25 per pound . This means the cost of cheddar cheese is 4.25 for every pound in weight. Assuming we put a currency to the value we can say 1 pound of cheddar cheese is equals to 4.25 dollars($4.25). Mathematically, it can be represented as
4.25 is the cost for 1 pound of Cheddar cheese
Let the cost of the equation be y as required from the question.
y = cost of the cheddar cheese
x is the weight value in pounds of the Cheddar cheese.
The equation can be best represented as
y = 4.25x
In the equation above if the amount in pounds is 3 pound . the value will be inputted for x and the cost will be gotten which is y.
hope this helped!
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