Answer:
The necessary sample size is of 5683.
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:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000.
This means that [tex]\pi = 0.3[/tex]
The estimate is to be within 1% of the population proportion. What is the necessary sample size?
A sample size of n is necessary. n is found when [tex]M = 0.01[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 1.645\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.645\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.3*0.7}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.3*0.7}}{0.01})^2[/tex]
[tex]n = 5682.6[/tex]
Rounding up:
The necessary sample size is of 5683.
Please help givin brainliest
Answer:
Answer H
Step-by-step explanation:
Evaluate the expression if y = -4. | 2/y + 1/2 (y+6)
DO NOT SEND ANY LINKS.
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Answer:
0.5
Step-by-step explanation:
If y = -4, then we must replace every variable y with the number 4. So, let's do that.
2/-4 + 1/2*(-4 + 6)
All we have to do now, is simplify. Parenthesis first...
2/-4 + 1/2*2
We can replace the 1/2*2 with 2/2 because they are the same thing.
2/-4 + 2/2
Now, solve from left to right.
-0.5 + 1 = 0.5
Therefore, the answer is equal to 0.5. Hope this helps!
What slope of the points (9,7) and (3,3)
Answer:
6/4
Step-by-step explanation:
Answer:
slope
=
−
21
16
Explanation:
to calculate the slope m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
−
7
,
11
)
and
(
x
2
,
y
2
)
=
(
9
,
−
10
)
⇒
m
=
−
10
−
11
9
−
(
−
7
)
=
−
21
16
=
−
21
16
Step-by-step explanation:
In the figure below, what is the measure of _x?
30
х
O A. 70°
OB. 300
o C. 60°
D. 90°
Answer:
50
Step-by-step explanation:
The sum of angle on a straight line is 180degres, hence;
X+3+x+20+x+7 = 180
3x+30=180
3x=180-30
3x = 150
X = 150/3
x = 50
Hence the value of x is 50
What does MIJ equal ?
Pls help !!!! Due today
Answer:
Im not so sure but i think its the 3rd option 168cm^2
Step-by-step explanation:
how many square feet is in a acre
Find the measurement of the angle labeled X
PLEASE IM REALLY BAD AT THESE QUICK!!!!!!!!!!!!!
Answer:
b.
42+x+90+8=180° linear pair
x=180-140=40°
x=40°
c.
10+x+90+3x=180 linear pair
4x=180-100
x=80/4=20
x=20°
What is Landscape evolution theory
Answer:
Landscape evolution theories indicate that the topography inherently records the interaction between climatic, tectonic, and surface processes. Consequently, geological and topographic information can be used to assess erosion and topographic evolution.
Step-by-step explanation:
hopes this helps
have a good day :)
The graph of a linear function is shown on the coordinate grid.
What is they y-intercept of the graph of the linear function?
Answer:
y=-6
Step-by-step explanation:
just look at the bottom and yahhhh
HELP ASAP!! I will give brainlist!! THANK YOU!
Answer:
dont trust me but i think its subtraction or division
Step-by-step explanation:
The diameter of each circular hole in a paint palette is 42 millimeters.
Find the circumference of each hole. Use 3.14 as an approximation for .
A 128 millimeters
B 131.88 millimeters
C 120 millimeters
D 42 millimeters
Answer:
B
Step-by-step explanation:
The circumference is just diameter x π (3.14 in this case) so 42 x 3.14 = 131.88
Answer:
B
Step-by-step explanation:
the circumference of a circle is
2×pi×r
with r being the radius (half the diameter).
2r is then the diameter.
so, in our case the circumference is
42×pi = 42 × 3.14 = 131.88 mm
The radius of a circle is changing at the rate of 1/π inches per second. At what rate, in square inches per second, is the circle’s area changing when the radius is 5 inches?
Answer:
formula for the area A of a circle in terms of its radius r:
A = πr2
It is important to remember that both r, and hence, A are functions of time, t. Take the derivative of both sides with respect to t and obtain
dA/dt = 2πr(dr/dt)
Note that we are using implicit differentiation here, since A and r are (implicit) functions of t. Now we can find the required answers.
r = 5 inches.
Substitute r = 5 and dr/dt = 3 to get
dA/dt = 2π5·3 = 30π ≅ 95.25
(the units are in2/min.)
r = 22 inches
dA/dt = 2π22·3 = 132π ≅ 414.69
Hope that helps.
There are 20 pieces of fruit in a bowl and 5 of them are apples. What percent of the fruit are apples?
Answer: 25%
Step-by-step explanation:
Total pieces=20
apple pieces=5
=apple pieces/total pieces
= 5/20
for %age multipilying with 100
= 0.25×100
=25 percent
What is the volume, in cubic centimeters, of a cube with an edge length of 15 centimeters?
Answer:
3375cm
Step-by-step explanation:
because it is asking for volume it is cubed
wich 15 x 15 x 15 3 times equals volume of cube hope that makes sense
53 POINTS!!!!!!!!!!!!!
Solve for x
15 points for prize
×=20°
Hope this helps :)
Find the quotient of 376 divided by 4
Answer:
94
Step-by-step explanation:
Line u has a slope of Line v is parallel to line u. What is the slope of line v? v יל Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
I have no idea what the answer is because I am in 6th grade but good luck
Step-by-step explanation:
I don't know
What is the volume of a sphere with the diameter = 10 cm and the height = 200 cm
A survey conducted by the U.S. department of Labor found the 48 out of 500 heads of households were unemployed. Compute a 99% confidence interval for the proportion of unemployed heads of households in the population. Round to three decimal places. (make sure to type a zero in front of the decimal place ie. 0.1 vs .1 otherwise your answer will be marked incorrect) Lower limit
Answer:
99% Confidence interval is given as;
Lower Limit = 0.062
Upper Limit = 0.130
Step-by-step explanation:
Given the data in the question;
x = 48
n = 500
sample proportion p = x/n = 48/500 = 0.096
with 99% confidence
significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01 / 2 = 0.005
Critical Z-value = [tex]Z_{\alpha /2[/tex] = [tex]Z_{0.005[/tex] = 2.576
Now,
Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]
we substitute
SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]
SE = √[ (0.096 × 0.904) / 500 ]
SE = √[ 0.086784 / 500 ) ]
SE = 0.0131745
so
Margin of Error E = [tex]Z_{\alpha /2[/tex] × SE
E = 2.576 × 0.0131745
E = 0.0339
Now 99% confidence interval will be
⇒ 0.096 ± 0.0339
⇒ (0.096 - 0.0339, 0.096 + 0.0339 )
⇒ ( 0.062, 0.130 )
Lower Limit = 0.062
Upper Limit = 0.130
Jonathan went shopping for a new pair of pants. Sales tax where he lives is 4.75%. The price of the pair of pants is $20. Find the total price including tax. Round to the nearest cent.
Answer:
20.95$
Step-by-step explanation:
To find the total price we need to find 4.75% of the 20 and to do that we need to multply 20 with 4.75 and divide it by 100
20 × 4.75 ÷ 100 = 0.95
20$ + 0.95$ = 20.95$
85% of x is 51. Write an equation that represents the situation.
Answer:
85/100*x=51
Step-by-step explanation:
85x=5100
Question 1 of 10
What is the solution to this equation?
9x - 4(x - 2) = x + 20
A. X = 3
B. X = 7
C. X = -7
D. X = -3
Step-by-step explanation:
daddgeyeyeyeye daddd daddy safdad papap
Janie ordered boxed lunches for a student advisory committee meeting. Each lunch costs $4.25. The total cost of the lunches is $53.75, including a $7 delivery fee.
Part A
Which equation will help you find x, the number of boxed lunches Janie ordered?
a 4.25x = 60.75
b 4.25 + 7x = 53.75
c 4.25x + 7 = 53.75
d 4.25(x + 7) = 53.75
Part B
Solve the equation from Part A to find x.
x = _____
Answer:
Part A: c. 4.25x+7=53.75
Part B: 11
Step-by-step explanation:
4.25x+7=53.75
4.25x=46.75
x=11
factoring review 2 terms 1-8
Answer:
ok
Step-by-step explanation:
whats the question?
evaluate: (_1_i)^(5/3)
Answer:
(
1
)
(
5
/
3
)
Step-by-step explanation:
Find the area of the composite figure?
Answer:
400
Step-by-step explanation:
25*35=700
10*30=300
700-300=400
Can someone help me please?
Answer:
I love pizza math :P
Step-by-step explanation:
column 1 column 2
2/3 2/5
1/4 3/4
1/3 4/5
1/2 1/6
Is it time for pizza now? :P
I need help on homework its due tomorrow