You are going to estimate how long a person holds down a button on their calculator by randomly selecting people and asking them to do something on your calculator (which has a special timer to record how long the enter button is pressed). You practiced on the people at work and found a standard deviation of about 0.37 seconds. You want to get a 94% confidence interval that is only 0.06 in width. How many people do you need to have in your study
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.
PLEASE! Is this correct?
What if X if [ -1 -2 4 8] +X= [-5 -1 2 1]?
Answer:
[-4 1 -2 - 7]
Step-by-step explanation:
[-1 - 2 4 8] + X = [-5 - 1 2 1]
X= [-5 - 1 2 1]- [-1 - 2 4 8]
X=[-5-(-1) - 1-(-2) 2-4 1-8]
X=[-4 1 - 2 - 7]
Answer:
C
Step-by-step explanation:
Correct on Edge
HELP HELP HELP HELP HELPPPP.
Answer:
letter d
................
Answer:
I think the answer is D - 0.6
Help me please? Making brainliest!
Answer:
0.33333
Step-by-step explanation:
[tex] \huge \red {\frac{1}{3}} \orange {=} \purple {0.33333} [/tex]
Hope it helps you in your learning process
Decimal of 0.516÷4 With process
$1
$1 ($1
$1
$1
$1
$1
$1
$1 ($1
$1
$1
Marlon and Ricky split this
money in the ratio 1:3
Answer:
$1 dollar split into the ratio 1:3 is 0.25:0.75. Is that what you're looking for?
If you answer this question correctly i'll give you brainliest.
Answer:
5.7.11.13
Step-by-step explanation:
My guess
Answer:
first 11 second is 12 and 13 third is 14
Step-by-step explanation:
You start driving east for 18 miles, turn right, and drive south for
another 5 miles. At the end of driving, what is your straight line
distance from your starting point? Round to the nearest tenth of a
mile.
Answer:
18.7
Step-by-step explanation:
Use the Pythagorean Theorem.
Simplify.
Simplify.
Square root both sides
Simplify. Ignore negative root, as length must be positive.
Round to the nearest tenth.
Answer:18.7
Step-by-step explanation:
Hey, can u help me with what to write
Answer:
Step-
In mathematics, a linear equation is an equation that may be put in the form a₁x₁+⋯+aₙxₙ+b=0, where x₁,…,xₙ are the variables (or unknowns), and b,a₁,…,aₙ are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables. To yield a meaningful equation, the coefficients a₁,…,aₙ are required to not all be zeroby-step explanation:
Check the equation for varying terms and constant terms. Usually, equations won't come with varying terms and constant terms lined up on separate sides.
In order to do this, you may have to subtract or add the numbers you want to move from both sides. ...
Move the varying terms to one side of the equation
Please, Please help! :(
Answer:
first blank is 3
second blank is 126
Step-by-step explanation:
the ratio is 2:3 so you must keep that the same in the table
The one for chocolates is 3 and the one for peppermints is 126
A cylinder has a base area of 64π m2. Its height is equal to twice the radius. Identify the volume of the cylinder to the nearest tenth.
V = 6434.0 m3
V = 2804.2 m3
V = 1402.1 m3
V = 3217.0 m3
Answer:
3215 .36 m³ is the required volume.
Step-by-step explanation:
Base area of Cylinder = 64π m²
Height of cylinder is equal to twice the radius .
As we know that ,
★Base Area of Cylinder = πr²
where,
π is taken as 22/7 or 3.14
r is the radius of cylinder
Substitute the value we get
↝ 64 π = πr²
↝ 64 = r²
↝ √64 = r
↝ 8 = r
↝ r = 8 m
Now, it is given that height is equal to twice of radius
Therefore ,
height = 2r = 2×8 = 16 m
★Volume of Cylinder = πr²h
substitute the value we get
↝ volume of Cylinder = 3.14 × 8² × 16
↝volume of Cylinder = 3.14 × 64 × 16
↝volume of Cylinder = 3215 .36 m²
Hence, the required volume of cylinder is 3215 .36 m³.
Answer:
3217.0
Step-by-step explanation:
3
4
5
I
9
Which is equivalent to 64 1/4?
3/12 is equivalent to 1/4 because 1 x 3 = 3 and 4 x 3 = 12. 4/16 is equivalent to 1/4 because 1 x 3 = 4 and 4 x 3 = 16. and so on ... Equivalent fractions may look different, but when you reduce then to the lowest terms you will get the same value.
find the area of the triangle. Round
your answer to the nearest tenth.
Answer:
180 i think
Step-by-step explanation:
The speed you are going determines the distance you travel before coming to a complete stop after pressing the brake.
Use the computer outputs, scatterplots, and residual plots to determine which statements are true. Check all that apply.
GIVING OUT BRAINLIEST IF CORRECT!
The linear model is most appropriate.
The power model is most appropriate.
Models are always improved by transformations.
The r2 on the linear model is stronger.
The residual plot is more patterned on the linear model.
Answer: A and D
Step-by-step explanation:
A square playground has an area of 10,000 ft? What is the side length of the
playground? Show your work.
SOLUTION
Don't give me a link.
Answer:
x = 3
Step-by-step explanation:
6(x+1) = 24
x+1 = 4
x = 3
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
x = 3
Step-by-step explanation:
Math solution to equation
6(x + 1) = 24
Divide both sides by 6
x + 1 = 4
Subtract 1 from both sides
x = 3
What is the equation of the quadratic function represented by this table ??HELP PLEASE GRADUATION IS JUNE FIRST
9514 1404 393
Answer:
-3, 7, 8
Step-by-step explanation:
You can fill in the boxes from the table values as shown in the attachment.
The leading coefficient is negative because the parabola opens downward. The value of it is the change in y-value as x changes by 1 unit either side of the vertex.
The vertex is identified by the fact that the y-values are symmetrical either side of the vertex.
Answer:
-3, 7, 8
Step-by-step explanation:
What is the perimeter of this shape? Use numbers only. *
Answer:
13 m.
Step-by-step explanation:
Formula for perimeter of a rectangle: side + side + side + side.
In other words, add every side of the rectangle.
[tex]2.5+4+2.5+4=13.[/tex]
Therefore, 13 meters is the perimeter of this shape.
Answer:
13m
Step-by-step explanation:
Perimeter of a Rectangle: 2(L + W) where L is the Length, and W is the Width of the rectangle.
=> 2(4 + 2.5)
=> 2(6.5)
=> 13
Perimeter of the Figure = 13 m
Hope this helps!
Specialized license plates have seven permissible characters: letters, numbers, a dash (-)
and the ampersand (&). How many custom plates are available?
Answer:
[tex]Total = 38^7[/tex]
Step-by-step explanation:
Given
[tex]Plate\ Number = 7\ characters[/tex]
[tex]Letters \to 26[/tex] [tex]\to [A- Z][/tex]
[tex]Numbers \to 10[/tex] [tex]\to [0 - 9][/tex]
[tex]Dash \to 1[/tex] [tex]\to [ - ][/tex]
[tex]Ampersand \to 1[/tex] [tex]\to [\&][/tex]
Required
Number of possible characters
Since the order and ways of selecting each character is not selected, then it means that any of the permissible character can occupy any of the 7 available spaces, with repetition.
The total possible characters (n) is:
[tex]n = 26 +10 + 1 + 1[/tex]
[tex]n = 38[/tex]
Any of the 38 characters can occupy any of the 7 spaces.
Hence, the total number of character is:
[tex]Total = n^7[/tex]
[tex]Total = 38^7[/tex]
to help consumers assess the risks they are taking, the food and drug administration (FDA) publishes the amount of nicotine found in all commerical brands of ciagrettes. a new ciagrette has recently been marketed. the FDA tests on this ciagrette yielded mean nicotine content of 24.3 milligrams and standard deviation of 2.1 milligrams for a sample of 9 ciagrettes. construct a 99% confidence interval for the mean nicotine content of this brand of ciagrette.
Answer:
The 99% confidence interval for the mean nicotine content of this brand of cigarette is between 21.95 and 26.65 milligrams.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.3554
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.3554\frac{2.1}{\sqrt{9}} = 2.35[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 24.3 - 2.35 = 21.95 milligrams
The upper end of the interval is the sample mean added to M. So it is 24.3 + 2.35 = 26.65 milligrams
The 99% confidence interval for the mean nicotine content of this brand of cigarette is between 21.95 and 26.65 milligrams.
You have 10 shirts. How many ways can
you select 5 shirts to pack for a trip?
Answer:
their is 50 ways.......
The possible combination, 252 ways you can pack shirts for a trip.
What is a permutation?Mathematical calculations are used to determine the number of different configurations for a given set, and this procedure is referred to as permutation. A permutation is a phrase that, simply put, refers to the diversity of alternative configurations or ordering. When employing permutations, the sequence of the arrangement is crucial.
Formula for combination is
n!/(r! x (n-r)!),
where n is a number of shirts and r is the shirts selected.
In combination,
order doesn’t matter, as opposed to permutation.
According to the question,
n = 10 and r = 5
Then substituting the above values to the formula,
that means,
10! / ( 5! x 5!)
= 10x9x8x7x6 / ( 5x4x3x2x1)
= 252
Therefore, You can pack 5 shirts in 252 ways.
To learn more about the permutation;
https://brainly.com/question/1216161
#SPJ2
7.
Which number line represents the solution to 2x + 3 < 5?
I think it's option 2.
Answer:
Option 2
Step-by-step explanation:
Option 2 is the answer
hope it helps uu
brainliest pls
3) Assume the point of tangency at the
diameter. Solve for the value of x (be
careful, there is a trick!)
18
7.1
Two less than the product of five and a number is negative 12.
Answer:
1. 2x-4=10
2. 3x+3=2x-1
3. 7x+x=24
4. 5+x=-18
5. -14=10-6x
6. 2x-2=x+12
7. 3x-31=2
8. 5x-14=16
9. 2x+8=4(5-x
10. 2x-3=3(1+x)
Explanation:
I JUST TAKEN THE QUIZ!!!!!
Q3) There are 200 passengers on a plane. 84 of them are women and 12 are children.
What percentage of them are:
a) women
b) children
c) neither women nor children?
James wants to 3D-print 8 model car pieces per hour for 10 hours. He can produce 5 model car
pieces using 50 grams of plastic.
How many grams of plastic will he need?
Answer:
80 grams of plastic
Step-by-step explanation:
5 model cars -- 50 grams
1 model car -- (50/5) = 10 grams
8 model cars -- (10 * 8) = 80 grams
Thenks and mark me brainliest :)))
A list of numbers is shown; 1 2 3 4 5 6 7 8 9 10
what is the median
A.2
B.4
C.9
D.10
Answer:
5.5
Step-by-step explanation:
We have a list of 10 numbers (n = 10) ordered from lower to higher.
1 2 3 4 5 6 7 8 9 10
The median is the value separating the higher half from the lower half of a data sample. Since n is even, there is no middle value and the median is defined as the mean between the two middle values, in this case, 5 and 6. Then,
median = 5 + 6 / 2 = 5.5
What’s the correct answer?? I will mark as brainlest
Answer:
11
Step-by-step explanation:
Find m∠1. 40 35 30 55
Answer:
m∠ = 90° - 40 = 50°
m∠ = 90° - 35 = 55°
m∠ = 90° - 30 = 60°
m∠ = 90° - 55 = 35°
Answer:
35 Degrees
Step-by-step explanation: