Answer:
246.
Step-by-step explanation:
a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78
b) The minimum sample size to achieve this is 246.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population(square root of the variance) and n is the size of the sample. So in this question,
The lower end of the interval is the sample mean subtracted by M. So it is 99 - 0.78 = 98.22
The upper end of the interval is the sample mean added to M. So it is 99 + 0.78 = 99.78.
a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78
(b) (5 points) If we want the sampling error to be no greater than 0.5, what is the minimum sample size to achieve this based on the same confidence level with part (a)
We need a sample size of n
n is found when
Then
Rounding up
The minimum sample size to achieve this is 246.
Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m ZABC = 90°, and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How far is moon A from moon C?
Answer:
Step-by-step explanation:
Please see diagram attached.
Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.
So they are 110,000 + 110,000 = 220,000km apart.
Answer:
Step-by-step explanation:
AC is 220000km according to the drawing:
Four laps around the track is equal to one mile. It takes Taylor 8 minutes to run 3 laps.
How many minutes would it take Taylor to run 6 miles?
A. 16 minutes
B. 36 minutes
C. 48 minutes
D. 64 minutes
Answer:
D
Step-by-step explanation:
8x60=480
480÷3=160
160x4=640
640 is 10 Minutes 40 Seconds
6 Miles is 24 Laps
640x6=3840
3840÷60=64
The Answer Will be 64 Minutes.
What is the Mean , Median , Mode , Range for
9,6,7,5,3
Answer:
the mean is 6
the median is 6
the mode there is none
the range is 6.
Answer:
There is no mode. (they all appear once)
The lowest number is 3 and the highest is 9, so the range is 6.
The mean is the average, add them all up (30) and divide by the number of data sets (5). The average is 6.
I have to go to dinner so maybe let someone else help with the median? The median is the middle, so you have to order them and find the middle. Hope it helped!
.Find -23+57 and 57+-23
PLZ ANSWER WITH FULL EXPLANATION
Answer:-23+57=34 and 57 + -23 =34
|
Step-by-step explanation: −60−50−40−30−20−10 0 10 20 30 40 50 60 70 80
regardless of the way you put it the positive is bigger so that means the you subtract 57 - 23 each time .
2496 of what number is 6?
24% of is 6.
HELP DUE IN 10 MINS!
x=??
Answer:
x = 3°Step-by-step explanation:
S and T are supplementary angles
m∠S + m∠T = 180°105° + 24x + 3° = 180°24x = 180° - 108°24x = 72°x = 72°/24x = 3°Remove the brackets using the distributive law for the following: 2(x + 3)
Answer:
2x + 6
Step-by-step explanation:
= 2(x + 3)
= 2(x) + 2(3)
= 2x + 6
f(x)= 3x - 5x + 2x – 3
yeah please help me
Answer:
Its B and E
Step-by-step explanation:
PLS MAKE ME BRAINLIEST
16 cars are parked if 1/4 of them are blue how many cars are blue
Answer: 4
Step-by-step explanation:
Answer:4
Step-by-step explanation: for example, you have 1/4 if you double that you get 2/8, triple it would be 3/12, next would be 4/16
For the data set 1,7,7,7,8, the mean is 6. what is the mean absolute deviation?
Answer:
The answer is 2
Step-by-step explanation:
First you need to calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. All of the points add up to 10. Then you divide that number by how many points there are which is 5 and you get 2.
Hope that helps. =)
Answer:
the answer is 2
Step-by-step explanation:
hoped I helped
The sum of two numbers is 57 and the difference is 7. What are the numbers?
Answer:
32 and 25
Step-by-step explanation:
Linda needs 6/9 cup of strawberries and 3/4 cup mashed peach for a recipe. She wants to find whether she needs more peaches or strawberries. How can you write 6/9 and 3/4 as a pair of fractions with a common denominator?
Answer: Smashed Peach i.e. [tex]\dfrac{27}{36}[/tex]
Step-by-step explanation:
Given
Linda needs [tex]\frac{6}{9}[/tex] cup of strawberries
and [tex]\frac{3}{4}[/tex] cup of mashed peach for a recipe
For two fractions to have the same denominator, take L.C.M. of the denominator
[tex]\Rightarrow \text{L.C.M.(4,9)}=36[/tex]
[tex]\therefore \dfrac{6}{9}=\dfrac{6\times 4}{36}=\dfrac{24}{36}\\\\\Rightarrow \dfrac{3}{4}=\dfrac{3\times 7}{36}=\dfrac{27}{36}[/tex]
Therefore, she needs more mashed peach for the recipe.
simplify 3^6 X 3 please help i failed the test 3 times (im not that smart lol)
Answer:
2187
Step-by-step explanation:
[tex]3^{6}[/tex] × 3
729 × 3
2187
Answer:
l maooooooo but ill help
its 2187
Step-by-step explanation:
use pemdas ( parenthasis, exponents, multiplication, division, add, subtract) and do 3^6 first
3x3x3x3x3x3=9x9x9=81x9=729
729x3=2187
In the coordinate graph shown, the x-axis and y-axis have different scales. Which statement below is NOT correct?
A. On the x-axis, 1 tick mark represents 0.5 unit
B. On the y-axis, 1 tick mark represents 0.4 unit
C. The length of the red segment is 3 units
D. The length of the blue segment is 4 units
Answer:
The correct answer is B: On the y-axis, 1 tick mark represents 0.4 unit.
"The following is a kite. Find m
Q=79
R=(11x-6)
S=79
T=(4x+13)
Plz helps brainlist and points also Q's in the photo its math
answer :
A, C, and D
hope this helps:)
the linear function g is defined by g(x)=4x. show that g(3) and g(2) have a difference of 4.
Answer:
the answer is D.
Step-by-step explanation:
well, the y-intercept for f(x) is at
as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.
for g(x), well an y-intercept is when x = 0, what is it from that table? well, is at 0,3, so when x = 0, y = 3, so no dice on that one.
c)
whenever an x-intercept occurs, y = 0, for f(x) that's at
what about the x-intercept for g(x)? well, let's check, when is y = 0? aha! at -9, 0, so when y = 0, x = -9, so no dice on that one either.
d)
well, what is the slope of g(x) anyway? well, let's pick two points off the table to get it hmmm the first two let's use,
and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.
well, 2/3 is larger than 1/3, so no dice.
b)
well, you already know.
ASAP!!! PLEASE HELP ILL GIVE U BRAINEST!
Find the LENGTH of Arc AB.
HERE I FOUND IT
Find the LENGTH of Arc AB.
How do you do 3++3 because i need help with this. I am learning this and are confused
can someone help meeeee plsease porfuis
Answer:
wal given south given signal pansy
Answer:
wal given south given signal pansy
Step-by-step explanation:
Trust me! Good luck!
Have a good day!
Hope this helped :)
Find the area of the trapezoid
the area of the trapezoid is 70 in (D)
answerd plz if correct 5 stars
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
bit.[tex]^{}[/tex]ly/3a8Nt8n
Answer:
choice c has a value of .9, so c
Step-by-step explanation:
i hope this helps
How many dimes and quarters?
what would the system look like?
picture is linked!!!
Answer:
I think it is twenty-three dimes and one quarter
Answer:
7 quarters and 8 dimes
Step-by-step explanation:
If you count up the amount of money that 7 quarters is, then they are equal to $1.75. Next you would add 10 to that amount until you got to $2.55, and you would end up with 8 dimes. And 8 + 7 = 15.
Use a ratio box to solve this problem the ratio of new pens was 4 to 7 in all there were 242 new pens how many new pens were in the box?
Complete Question
Use a ratio box to solve this problem the ratio of new pens to used pens was 4 to 7 in all there were 242 pens, how many new pens were in the box?
Answer:
88 new pens
Step-by-step explanation:
The ratio of new pens : Old pens = 4:7
Sum of Proportion = 4 + 7 = 11
Total number of pens = 242 pens
The number of new pens is calculated as:
4/11 × 242 pens
= 88 new pens
Therefore, the number of new pens = 88 new pens
During his NBA career, Larry Bird made approximately 89% of all free throws. Suppose Larry
makes 10 free throws in a row. Assuming each free throw is independent, what is the
probability he will make the next free throw?
(a) 0.11
(b) 0.50
(c) 0.01
(d) 0.89
Answer:
0.89
Step-by-step explanation:
The probability of Larry making the next free throw is, 0.89
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Now, we can assume that Larry Bird has a 89% chance of making any given free throw.
Since, each free throw is an independent event, the fact that he made 10 free throws in a row does not affect the probability of him making the next free throw.
Therefore, the probability of Larry making the next free throw is also 89%.
Thus, the probability of Larry making the next free throw is, 0.89
Learn more about the probability visit:
https://brainly.com/question/13604758
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5 is 5% of what number?
Answer:
100
Step-by-step explanation:
Out of 100 employees at a company, 92 employees either work part time or work 5 days each week. There are 14 employees who work part time and 80 employees who work 5 days each week. What is the probability that a randomly selected employee works both part time and 5 days each week?
Answer: 0.02
Step-by-step explanation:
OpenStudy (judygreeneyes):
Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is
P(A U B) = P(A) +P(B) - P(A and B).
The problem has given us each of these pieces except the intersection, so we can solve for it,
If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.
I hope this helps you.
Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8
Answer:
The probability that a randomly selected employee works both part time and 5 days each week is 0.02
Step-by-step explanation:
What is probability?
Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.
The total employees =100
Let A= Employees who work part time = 14
and B = Employees who work 5 days each week = 80
Then, A∪B= 92
We have to find, P(A∩B)
P(A∪B)=P(A)+P(B)-P(A∩B)
[tex]\frac{92}{100}=\frac{14}{100}+\frac{80}{100}-[/tex]P(A∩B)
0.92=0.14+0.8-P(A∩B)
0.92=0.94-P(A∩B)
P(A∩B)=0.02
Hence, the probability that a randomly selected employee works both part time and 5 days each week is 0.02.
To know more about probability here
https://brainly.com/question/23044118
# SPJ2
use the graph to answer these questions. what is the slope and y-intercept?
slope: -1/4
y-int: -1
y=(-1/4)x-1
Which of the following equations has a solution x = 4? Select all that apply.
0-2 (32 – 4) = -16
{(100 + 2) = 6
20 - 15x = 6 - 2 (4x + 7)
(90 - 12) +6 = -10
Answer:
[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex]
Step-by-step explanation:
Given
[tex]-2(3x - 4) = -16[/tex]
[tex]\frac{1}{2}(10x + 2) = 6[/tex]
[tex]20- 15x = 6 - 2(4x + 7)[/tex]
[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]
Required
Equations with [tex]x = 4[/tex] as a solution
[tex]-2(3x - 4) = -16[/tex]
Divide both sides by -2
[tex]3x - 4 = 8[/tex]
Add 4 to both sides
[tex]3x - 4 +4= 8+4[/tex]
[tex]3x =12[/tex]
Divide both sides by 3
[tex]x = 4[/tex]
[tex]\frac{1}{2}(10x + 2) = 6[/tex]
Multiply both sides by 2
[tex]10x + 2 = 12[/tex]
Subtract 2 from both sides
[tex]10x + 2 -2= 12-2[/tex]
[tex]10x = 10[/tex]
Divide both sides by 1
[tex]x = 1[/tex]
[tex]20- 15x = 6 - 2(4x + 7)[/tex]
Open bracket
[tex]20 - 15x = 6 - 8x - 14[/tex]
Collect like terms
[tex]8x - 15x = 6 - 14 - 20[/tex]
[tex]-7x = -28[/tex]
Divide both sides by -7
[tex]x = 4[/tex]
[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]
Subtract 6 from both sides
[tex]\frac{1}{3}(9x - 12) + 6-6=-10-6[/tex]
[tex]\frac{1}{3}(9x - 12) =-16[/tex]
Multiply both sides by 3
[tex]9x - 12 = -48[/tex]
Add 12 to both sides
[tex]9x - 12 +12= -48+12[/tex]
[tex]9x = -36[/tex]
Divide both sides by 4
[tex]x =-4[/tex]
[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex] have [tex]x = 4[/tex] has a solution
Answer: 1st and 3rd
Step-by-step explanation: