Answer:
You need to have 538 people in your study.
Step-by-step explanation:
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 - 0.94}{2} = 0.03[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.03 = 0.97[/tex], so Z = 1.88.
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.
You practiced on the people at work and found a standard deviation of about 0.37 seconds.
This means that [tex]\sigma = 0.37[/tex]
You want to get a 94% confidence interval that is only 0.06 in width.
This means that [tex]M = \frac{0.06}{2} = 0.03[/tex]
How many people do you need to have in your study?
This is n for which M = 0.03. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.03 = 1.88\frac{0.37}{\sqrt{n}}[/tex]
[tex]0.03\sqrt{n} = 1.88*0.37[/tex]
[tex]\sqrt{n} = \frac{1.88*0.37}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.88*0.37}{0.03})^2[/tex]
[tex]n = 537.6[/tex]
Rounding up:
You need to have 538 people in your study.
g The least-squares regression line of the number of visitors, y, at a national park and the temperature, x, is modeled by the equation . What is the predicted number of visitors when the temperature is 78o? 10.3 visitors 85.2 visitors 95.5 visitors 888.6 visitors 6,655.9 visitors
Answer: D) 888.6
Step-by-step explanation:
The expression which would help arrive at the required answer is y = 78b + c.
The least regression equation is the equation of best fit obtained from a linear regression graph.
The linear regression equation is expressed in the form :
y = bx + c ; where ;
y = Predicted variable
x = predictor variable
c = intercept
b = slope
The least regression equation is not given in the question above.
However, we could give the equation in the linear regression format :
y = number of visitors
y = number of visitors x = temperature = 78°
Hence, the equation becomes :
y = b(78) + c
y = 78b + c
Inputting the values of b and c in the equation will give the required answer.
Learn more : https://brainly.com/question/4997238?referrer=searchResults
1/6 + 2/3 + 36 (help plz)
Find the area of the composite figure.
A. 122.5 sq ft
B. 171.5 sq ft
C. 196 sq ft
D. 296. 5 sq ft
Answer:
I think B is your answer if so then comment me and you can mark me as brainliest and please follow me
PLEASE HELLLLLLP NO FAKE ANSWERS
Answer: p= -3,2
q= -3,8
R= -8,8
s=-8,2
Step-by-step explanation:
A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?
Answer:
the answer is 2 1/4 cups of oil
Step-by-step explanation:
if he wants to triple the ingredient then you would triple the numerator and than simplify your new fraction
3 times 3 is 9 = 9/4
9 divided by 4 is 2.25 = 0.25 is equal to 1/4 so it would be 2 1/4 cups of oil
A population has a standard deviation of 20.2. What is the standard error of
the sampling distribution if the sample size is 144? Round your answer to two
decimal places.
A) 1.68
B) 1.84
C) 1.55
D) 1.44
Answer: 1.68
Step-by-step explanation:
A pex
PLZZZZZZZZZZZZZZZZZ help
Answer:
true
Step-by-step explanation:
[tex]\frac{x}{2} <20[/tex]
* substitute 30 for x *
[tex]\frac{30}{2} <20\\\frac{30}{2} =15\\[/tex]
we're left with 15 < 20 which is true
2.- Un campesino guarda un doceavo de su trigo cosechado para semilla, un sexto de la misma
cosecha lo convierte en harina y vende 288 kilos. ¿Cuántos kilogramos de trigo cosechó?
PLEASE HELP! I feel horrible and I'm crying so hard right now. This is due.
Answer:
62
Step-by-step explanation:
surface area of a rectangular prism = 2lw + 2lh + 2wh
Where l = length, w = width and h = height
The box has the following dimensions
length = 5 in
width = 3 in
height 2 in
Using these dimensions, we plug in the values into the formula
[tex]SA=2(5*3)+2(5*2)+2(3*2)\\5*3=15\\15*2=30\\5*2=10\\10*2=20\\3*2=6\\6*2=12\\SA=30+20+12\\30+20+12=62[/tex]
Hence, the surface area = 62
Hey does anyone please can help me with this
Answer:
Step-by-step explanation:
[tex] \large \sf \blue{Find \: the \: H.C.F \: of : }[/tex]
[tex] \sf \purple{➪ \: 84 \: and \: 156}[/tex]
Answer:
[tex] \large \sf \blue{Find \: the \: H.C.F \: of : }[/tex]
[tex] \sf \purple{➪ \: 84 \: and \: 156}[/tex]
dele took 25 minutes to walk to school and he arrived at exactly 8:00am, at what time did he leave his home
Angle Relationships
A water slide is a straight ramp 25 m long that starts from the top of a tower. If the angle the slide forms with the top of the tower is 33°. determine the height of the tower. Round your answer to the nearest meter.
a. 30 m
b. 25 m
c. 24 m
d. 21 m
Pleases elect the best answer from the choices provided
Answer:
D. 21 m
Step-by-step explanation:
I calculated it logically
How many feet are in 5 yards
Answer:
15 feet
Step-by-step explanation:
Forumula: Multiply the length value by 3.
5*3= 15 feet
Hope this helped! :)
Answer:
15 feet
Step-by-step explanation:
okay so in 1 yard is 3 feet
is it is 5 yards so there is 15 feet
Pete's Pizza has a mean delivery time of 29 minutes with a standard deviation of 3 minutes. Determine the z-score for the number of pizzas delivered in less than 25 minutes.
Answer:
9 pizzas
Step-by-step explanation:
the right aswer is -1.33
• I am a fraction less than 1.
My denominator is a multiple of 5.
My denominator is less than 20.
• My numerator is a multiple of 4.
My numerator is 3 less than my
denominator.
Answer:
12/15
Step-by-step explanation:
3x5=15
4x3=12
15-12=3
Therefore the answer is 12 over 15
Please help out. The question is on the photo
Answer:
55
Step-by-step explanation:
another khan academy pls
Answer:
89
Step-by-step explanation:
3 consecutive numbers can be:
[tex]x-1, x, x+1[/tex] ; for example: 1, 2, 3 (1 is 1 less than 2, and 3 is 1 more than 2)
The sum is all of them added, so
[tex]x-1+x+x+1=270; 3x=270; x=90[/tex]
90 is the middle number though, so the first number is 89
Answer:
88, 90, 92
Step-by-step explanation:
I hop this is right can you pls answer this question khan academy.
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6),A(2,−6),A, left parenthesis, 2, comma, minus, 6, right parenthesis, comma B(5, -6)B(5,−6)B, left parenthesis, 5, comma, minus, 6, right parenthesis, C(5, -2)C(5,−2)C, left parenthesis, 5, comma, minus, 2, right parenthesis, and D(2, -2)D(2,−2)D, left parenthesis, 2, comma, minus, 2, right parenthesis.
What is the perimeter of rectangle ABCDABCDA, B, C, D?
units
Thank you
jaslyyyyyyyyyyyyyyyy is good girl :3
Answer:
7/9
Step-by-step explanation:
this equation is true:
21/27 = 7/9
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.
7/9 = Proper Fraction
2x^2-13=x Write the quadratic equation in standard form:
Answer:
2xˆ2-x-13=0
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
2x^2 - 13 = x
Subtract x from both sides:
2x^2 - x - 13 = 0 is the standard form.
Which function rule represents the data in the table?
x –3 –2 –1 0 1
y 1 –2 –5 –8 –11
A. y = –3x – 8
B. y = one-third x – 8
C. y = one-third x + 8
D. y = 3x + 8
B
Step-by-step explanation:
How much money would you have in an account after 15 years if you earned 9,3% annually and you started with R573,00?
Given:
Principal = R573.00
Rate of interest = 9.3% annually
Time = 15 years.
To find:
The amount after 15 years.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded in an year and t be the number of years.
The interest is compounded annually, so n=1.
Putting [tex]P=573,r=0.093,n=1,t=15[/tex] in the above formula, we get
[tex]A=573\left(1+\dfrac{0.093}{1}\right)^{1(15)}[/tex]
[tex]A=573\left(1+0.093\right)^{15}[/tex]
[tex]A=573\left(1.093\right)^{15}[/tex]
[tex]A=2174.98893[/tex]
[tex]A\approx 2174.99[/tex]
Therefore, the amount in the account after 15 years is about R2174.99.
Look at picture and find the value of x please help no links!!
Find the inverse function.
A spinner has 10 equal sections: 3 redsections, 4 green sections and 3 bluesections. If Josh spins the spinner, what isthe probability that it lands on a greensection?
12 Select the correct answer from each drop-down menu. 4 units 6 units 4 units NIE bi TH 6 units 4 units The total area of the three triangles is square units. The area of the figure is square units. Reset
Answer:
Area of three triangles = 36 square units
Area of the composite figure = 60 square units
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Area of ΔABC = [tex]\frac{1}{2}(6)(4)[/tex]
= 12 square units
Area of ΔCDE = [tex]\frac{1}{2}(4)(6)[/tex]
= 12 square units
Area of ΔGEF = [tex]\frac{1}{2}(6)(4)[/tex]
= 12 square units
Area of rectangle ACEG = Length × Width
= AC × CE
= 6 × 4
= 24 square units
Area of three triangles = 12 + 12 + 12
= 36 square units
Area of the composite figure = Area of three triangles + Area of the rectangle
= 36 + 24
= 60 square units
Answer:
The total area of the three triangles is 36 square units.
The area of the figure is 60 square units.
Step-by-step explanation:
If x = 4, calculate the value of: 7x + 2x + x
Answer:
40
Step-by-step explanation:
7(4)+2(4)+(4)=?
28+8+4=?
36+4=?
40
Simplify
(7+2+1)x10xPut x=4
10(4)40If there are 7 red candies in a bag of 36 colored candies, what is the probability of getting a red candy as a
percent? Round to the nearest whole percent.PLS HELP THIS IS FOR A TEST
A.19%
b. 29%
C.50%
d. 70%
Answer:
19.4% but rounded is 19%
Step-by-step explanation:
7/36 = x/100
36x = 700 (cross multiply)
36x/36 = 70036
x = 19.4444444
Calculate the radius or diameter in each of the following problems.
1) d = 8.3 mm
Calculate the radius of the circle.
Answer:
4.15
Step-by-step explanation:
the radius is half the diameter so 8.3/2
=4.15mm
Answer:
4.15
Step-by-step explanation:
radius is the half of the diameter so 8.3/2 is 4.15
A. 20
b. 5
c. 40
d. 45
Answer:
C, 40
Step-by-step explanation:
You can set up the equation as 20+4x=180
180 is the total angle of the line
4x=160 and divide each side by 4
x=40