Answer:
A sample of 1015 should be taken.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.12.
This means that [tex]\pi = 0.12[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex]. I used 95% because the confidence level was not given.
How large a sample should be taken to estimate the actual proportion of smokers with a margin of error of 0.02?
This is n for which M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.12*0.88}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96\sqrt{0.12*0.88}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.12*0.88}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.12*0.88}}{0.02})^2[/tex]
[tex]n = 1014.2[/tex]
Rounding up:
A sample of 1015 should be taken.
3.8.22
City planners want to construct a bike path
perpendicular to Bruckner Boulevard at point P. An equation for the Bruckner
Boulevard line is y=-x. Find an equation for the line for the bike path.
4
The equation of the line for the bike path is I.
(Simplify your answer. Type an equation. Type your answer in slope-intercept form. Use integers or fractions for any numbers in th
Answer:
9
Step-by-step explanation:
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ABC = DEF What corresponds with B?
Answer:
answer is C
Step-by-step explanation:
<E corresponds with B
Hope it helps you
7.4.PS-6
Question Help
Find the area of the polygon.
20 cm
14 cm
4 cm
3 cm
5 C
Answer:
The area of the given polygon is:
232 cm^2Step-by-step explanation:
To find the area of the polygon in the picture, you can divide the polygon in three rectangles: a 3 cm by 14 cm, a 5 cm by 14 cm rectangle, and the last rectangle must have a base of 12 cm (20 cm - 3 cm - 5 cm), and a height of 10 cm (14 cm - 4 cm). We can calculate the area of the rectangles with the formula below:
Area of a rectangle = Base * heightNow, we're gonna replace the measurements in the formula.
First rectangle:
Area of a rectangle = 3 cm * 14 cmArea of a rectangle = 42 cm^2Second rectangle:
Area of a rectangle = 5 cm * 14 cmArea of a rectangle = 70 cm^2Third rectangle:
Area of a rectangle = 12 cm * 10 cmArea of a rectangle = 120 cm^2By last, we must add the area of the rectangles:
Area of the polygon = 42 cm^2 + 70 cm^2 + 120 cm^2Area of the polygon = 232 cm^2As you can see, the area of the polygon in the picture is 232 cm^2.
Enter an integer to represent the situation.
an elevator ride down 35 stories
Answer:
-35
Step-by-step explanation:
this is a simple but confusing question
however,
since they said down the elevator, and the negative integers reduces, therefore we have our answer as
-35
What is the slope of the following equation?
y = 2x -3
Answer:
Step-by-step explanation:
2 is the slo[pe:)
7/11 as a decimal roundeded to 3 decimal places
Answer:
0.6364 is a decimal and 63.64/100 or 63.64% is the percentage for 7/11.
Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16t^2+96t gives the height, in feet, of the soccer ball after t seconds. The function is shown in the graph below. What are the intercepts of the function and what do they mean?
Answer:
(d)
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 96t[/tex]
Required
The intercepts
The x intercepts are where the graph crosses x axis.
From the attached plot, they are:
[tex]x = (0,0)[/tex] and [tex]x = (6,0)[/tex]
These represent the start and end of the ball that is launched.
Hence, (d) is true
Toby collected data about the population of a town for five years. Toby's data was linear. Which table could be Toby's data?
the answer choices are A) A B) B C) C D) D
Answer:
ok, so the answer is table A
Step-by-step explanation:
USA PREP TESTTTTTT
good luck :)
find the height of a triangle with an area of 156 square kilometers and a base that measures 24 kilometers
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the endpoints of the t-distribution with 5% beyond them in each tail if the samples have sizes ni = 8 %3D and 11 n2 Enter the exact number for the degrees of freedom and round your answer for the endpoints to two decimal places. degrees of freedom = endpoints
Answer:
i think it 36 sorry if it wrong tho have a nice day
Step-by-step explanation:
Which expression has the greatest value?
Answer:
=8⁴√³
8⁴=2¹²
12÷3=4
2⁴=16
16=16²√
=64²√³
64=4³
6÷3=2
4²=16
=16³√
16=4²
6÷2=3
4³=64
so the answer is 16^3/2
Write an equivalent expression to show the relationship of multiplication and addition.
10+10+10
4+4+4+4+4+4+4
8×2
3×9
6m
d+d+d+d+d
Sketch a graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = +2.
The graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.
What is local maxima and minima?Local Maxima →
If f'(x) changes sign from positive to negative as x increases via point c, then f(c) represents the maximum value of the function in that range.
Local Minima →
If f'(x) changes sign from negative to positive as x increases via point c, then f(c) gives the minimum value of the function within that range.
Given is to sketch a graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = + 2.
Refer to the graph of the function attached.
It shows a parabola indicating a quadratic function that has a maximum value of (0, 2) and x - intercepts at x = ± 2.
Therefore, the graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.
To solve more questions on graph plotting, visit the link -
brainly.com/question/30098550
#SPJ1
A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid?
4 in.
12 in.
24 in.
36 in.
Answer:
36
Step-by-step explanation:
I used a triangle height calculator on G0ogle
If the base area is 162 square inches, then the height of the pyramid will be 36 inches. Then the correct option is D.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions of 18 inches by 9 inches.
Then the height of the pyramid will be
The volume of the pyramid will be
Volume = (Base area x height) / 3
Then the base area will be
Base area = 18 x 9
Base area = 162 square inches
Then the height of the pyramid will be
1944 = (162 h) / 3
5832 = 162 h
h = 36
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
Approximately 0.5% of computers in a shipment arrive broken. In a shipment of 20,000 computers, about how many will NOT be broken?
Rewrite 0.5% as a decimal by moving the decimal point 2 places to the left:
0.5% = 0.005
Multiply quantity by the decimal:
20,000 x 0.005 = 100 would be broken
20,000-100 = 19,900 would not be broken
Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the
coins, 12% are pennies and 34% are dimes. There are 7 more nickels than pennies. How much
money does the bag contain?
Answer:pennies: (0.12)(50) = 6
dimes: (0.34)(50) = 17
nickels: 6 + 2 = 8
What is the value of z in the equation 2(4z − 5 − 3) = 166 − 46?
15
17
30
32
Answer:
15
Step-by-step explanation:
4 ×15= 60
60×2= 120
166-46=120
HELP ME PLEASEEEEEEEEEEEE
Answer:
The area is 112.
Step-by-step explanation:
14 x 16 = 224
224/2 = 112
Plz help me well mark brainliest if correct!!...
Answer:
The answer will be D
Have a great day :)
Answer: it would be D two of the fourth graders own two pets
Step-by-step explanation: if you look at the graph it is showing how many people own how many pets then look for the one with for and however many stars are there which is two people who own four pets
Hope this helps :)
PLEASE HELPPP!!!!!!!!
Answer:
C. y=-3x+5
Step-by-step explanation:
Looking at the line, you see that it goes down 3 places for every unit step to the right, so the slope is -3 and we expect a -3x in the answer.
Looking at the intersection with the y-axis, it is at (0,5), so we expect -3x + 5.
We have to be at the left of this line, i.e. y < -3x + 5.
That's answer B.
In this composite function, (f◦g)(x) where f(x)=(X-3) and g(x)=X^2 what is (f◦g)(x) when x=1?
Answer:
When x = 1, (f◦g)(x) is -2.
Step-by-step explanation:
Composite function:
The composite function of f and g is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
In this question:
[tex]f(x) = x - 3, g(x) = x^2[/tex]
Composite function:
The composite function is:
[tex]f(g(x)) = f(x^2) = x^2 - 3[/tex]
At x = 1
[tex](f \circ g)(1) = 1^2 - 3 = 1 - 3 = -2[/tex]
So
When x = 1, (f◦g)(x) is -2.
2 3/7 - 5 6/7 Question I-Ready
Answer: I think so the answer is -3 3/7
HOPE THIS HELPS
50 points!!
Solve for x and y given the 2 triangles are SIMILAR
Answer:
x/3=4.5/1.5
1.5x=3*4.5
x=13.5/1.5
x=9
Step-by-step explanation:
1. Translate the figure: Right 5 and Up 4
Step-by-step explanation:
Right 5 and 4 =9 that is the answer
What is the first step in evaluating the expression below?
12 + 6 - 4 X (12-5)
Add 12 + 6
O Multiply 4 x 12
Subtract 5 from 12
O Multiply 4x7
The Sine Function
The sine regression models is of form y = a sin(bx + c) + d. Why are sine functions such good models for repetitive behavior?
Answer:
Sine functions show repeated and periodic behavior. They are used to model wave-like behavior. They can be used to make predictions based on the model.
Step-by-step explanation:
I calculated it logically
Help pls… 50points
Referring to the figure, find m∠1.
5. Answer:
Referring to the Fig. in Question #4, find m∠2.
6 Answer:
Referring to the Fig. in Question #4, find m∠3.
7 Answer:
Referring to the Fig. in Question #4, find m∠4.
8 Answer:
Referring to the Fig. in Question #4, find m∠5.
9 Answer:
Referring to the Fig. in Question #4, find m∠6.
10 Answer:
Referring to the Fig. in Question #4, find m∠7
Answer:
Step-by-step explanation:
The original angle of 30° is in a linear pair on a straight angle with ∠1. So since straight angles equal 180 subtract 30 from 180 to find m∠1, which is 150°.
The original angle of 30° is a vertical angle with ∠3, the same goes for ∠1 and ∠2. So those angles will be congruent. ∠1 = 30° and ∠2 = 150°
Lastly use corresponding angles to find out the values of ∠4, ∠5, ∠6, ∠7.
∠4 is corresponding to 30° so ∠4 is 30°
∠5 is corresponding to ∠1 so ∠5 is 150°
∠6 is corresponding to ∠2 so ∠6 is 150°
∠7 is corresponding to ∠3 so ∠7 is 30°
Hope this helps :)
Answer:
The original angle of 30° is in a linear pair on a straight angle with ∠1. So since straight angles equal 180 subtract 30 from 180 to find m∠1, which is 150°.
The original angle of 30° is a vertical angle with ∠3, the same goes for ∠1 and ∠2. So those angles will be congruent. ∠1 = 30° and ∠2 = 150°
Lastly use corresponding angles to find out the values of ∠4, ∠5, ∠6, ∠7.
∠4 is corresponding to 30° so ∠4 is 30°
∠5 is corresponding to ∠1 so ∠5 is 150°
∠6 is corresponding to ∠2 so ∠6 is 150°
∠7 is corresponding to ∠3 so ∠7 is 30°
Hope this helps :)
Step-by-step explanation:
5. A cabin rental costs $100 deposit plus $75 per day. Find the cost of renting a cabin for the
month of June.
Answer:
the answer to this question is $2,350
Step-by-step explanation:
june has 30 days so $75 × 30 + $100 = $2,350
I really need help guys!