Answer:
for n = 3
[tex]Z(3) = 0.26[/tex]
for n = 10
[tex]Z(3) = 0.028[/tex]
Step-by-step explanation:
from the question we are that
The number of applicant is n
The number of people on the committee is [tex]N = 3[/tex]
Generally given that the applicant ranking is random the probability of a candidate being accepted is mathematically represented as
[tex]Z(n) = N * \frac{1}{n} * \frac{1}{n} * \frac{n-1}{n} + \frac{1}{n} * \frac{1}{n} * \frac{1}{n}[/tex]
Now for n = 3
[tex]Z(3) = 3 * \frac{1}{3} * \frac{1}{3} * \frac{3-1}{3} + \frac{1}{3} * \frac{1}{3} * \frac{1}{3}[/tex]
[tex]Z(3) = 0.26[/tex]
Now for n = 10
[tex]Z(3) = 3 * \frac{1}{10} * \frac{1}{10} * \frac{10-1}{10} + \frac{1}{10} * \frac{1}{10} * \frac{1}{10}[/tex]
[tex]Z(3) = 0.028[/tex]
Find the solution set to the inequality below 7(-w+2)>3(6-2w) *
Answer:
w=-4
Step-by-step explanation:
multiply by number in front of the bracket and group like terms ,divide both side by - and the answer was -4
The department of transportation in a particular city knows from past records that 27% of workers in the downtown district use the subway system each day to commute to and from work. The department suspects that this proportion has increased owing to decreased parking spaces in the downtown district. A random sample of 130 workers in the downtown district showed that 49 used the subway daily. Test the claim at the 5% level of significance. What is the value of sample statistics
Answer:
We conclude that the proportion has increased owing to decreased parking spaces in the downtown district.
Step-by-step explanation:
We are given that the department of transportation in a particular city knows from past records that 27% of workers in the downtown district use the subway system each day to commute to and from work.
A random sample of 130 workers in the downtown district showed that 49 used the subway daily.
Let p = population proportion of workers in the downtown district use the subway system each day to commute to and from work.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]p \leq[/tex] 27% {means that the proportion has decreased or remain equal owing to decreased parking spaces in the downtown district}
Alternate Hypothesis, [tex]H_A[/tex] : p > 27% {means that the proportion has increased owing to decreased parking spaces in the downtown district}
The test statistics that will be used here is One-sample z-test statistics for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{p(1- p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample proportion of workers who used the subway daily = [tex]\frac{49}{130}[/tex] = 0.38
n = sample of workers = 130
So, the test statistics = [tex]\frac{0.38-0.27}{\sqrt{\frac{0.27(1-0.27)}{130} } }[/tex]
= 2.825
The value of z-test statistics is 2.825.
Now, at a 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.
Since the value of our test statistics is more than the critical value of z as 2.825 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we conclude that the proportion has increased owing to decreased parking spaces in the downtown district.
A restaurant owner is interested in the proportion of his customers who order dessert. He looks at 65 randomly selected receipts. Match the vocabulary word with its corresponding example.
Answer and Step-by-step explanation:
a) Statistic -the proportion of the 65 randomly selected customer
Statistic refers to the practice of gathering and examination data of numerical in a higher number of quantities, mainly for the motive of proportions inferring in a full form for that in a representative sample.
b) variable: the answer yes or no to weather.
The Variable is never being constant or a pattern of fixed; liable to change.
c) sample: The 65 customers of the hotel whose receipts the owner noticed.
Sample refers to the small part that is applied to present the whole thing
d) Data: the list of the 65 yes or no answers.
The data is the facts and the figures that are collected simultaneously
e) Population: all customer who comes to the restaurant
Population refer to a whole group of people and events
f) Parameter: the proportion of all customer who orders desert
The parameter refers to an average of a population that represents the whole population
Which of the following groups of users is the least affected by a company's accounting information? people who invest money in the company (investors), people who lend money to the company (creditors), people who run the company (the board of directors), people who buy the company’s products or services (customers)
Answer:
People who buy the company's products or services (customers)
Step-by-step explanation:
What is the best base unit that is used to measure distance
Answer:
The correct answer is centimeter.
If you drive 160 miles and use 10 gallons of gas, what is your rate of gas consumption?
1:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. What is the expected value of the number shown if we add one additional $9$ to the bag? 2:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. What is the expected value of the number shown if we add two additional $9$'s (instead of just one) to the bag? 3:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. How many $9$'s do we have to add to make the expected value equal to $6$? 4:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. How many $9$'s do I have to add before the expected value is at least $8$? I WILL GIVE BRAINLIEST TO WHOEVER ANSWES ALL OF THEM CORRECT
Answer:
Step-by-step explanation:
1 ) No of total slips after addition = 11
8 slip with 3 on it
3 slips with 9 on it
expectation value = probability of 3 x 3 + probability of 9 x 9
= (8 / 11) x 3 + (3 / 11) x 9
24 / 11 + 27 / 11 = 4.636
2 )
No of total slips after addition = 12
8 slip with 3 on it
4 slips with 9 on it
expectation value = probability of 3 x 3 + probability of 9 x 9
= (8 / 12) x 3 + (4 / 12) x 9
2 + 3 = 5
3 )
Let n be the required number
No of total slips after addition = 10+n
8 slip with 3 on it
2 + n slips with 9 on it
expectation value = probability of 3 x 3 + probability of 9 x 9
= (8 / 10+n ) x 3 + (2+n / 10+n ) x 9 = 6
24 + 18 + 9n / 10 + n = 6
42 + 9n = 60 + 6n
3 n = 18
n = 6
4 )
Let n be the required number
No of total slips after addition = 10+n
8 slip with 3 on it
2 + n slips with 9 on it
expectation value = probability of 3 x 3 + probability of 9 x 9
= (8 / 10+n ) x 3 + (2+n / 10+n ) x 9 = 8
24 + 18 + 9n / 10 + n = 8
42 + 9n = 80 + 8n
n =
n = 38
Minimum of 38 has to be added .
Martin decided to buy 3 bags of grapes weighing 4 1/5 pounds each. How much did all 3 bags of grapes weigh?
Answer:
12 3/5
Step-by-step explanation:
Answer:
12 3/5
Step-by-step explanation:
Got it right on my test.
translate one half of a number is four into an equation
Answer:
(3/2)x=4
Step-by-step explanation:
Pretty self explanatory. X is the number.
What is 6.25 divided by 132
Answer:
0.04734848484
Step-by-step explanation:
The 6.25 divided by 132 equals 0.235 (rounded to three decimal places).
To calculate 6.25 divided by 132, perform the following steps:
Step 1: Divide the whole number part.
Divide 6 by 132, which equals 0 with a remainder of 6.
Step 2: Convert the remainder to a fraction.
The remainder 6 becomes 6/132.
Step 3: Divide the fractional part.
Divide 25 by 132, which gives the fraction 25/132.
Step 4: Add the results from Step 2 and Step 3.
Combine the fractions obtained in Step 2 and Step 3: 6/132 + 25/132 = 31/132.
The final result is 0 31/132, which can be simplified to 0 7/44 or written as a decimal as approximately 0.235. Therefore, 6.25 divided by 132 equals 0.235 (rounded to three decimal places).
To know more about divided:
https://brainly.com/question/15381501
#SPJ6
Evaluate P(6, 6).
720
01
6
Answer:
720
Step-by-step explanation:
6!/(6-6)! = 6!/0! or 6!/1
6! =720
five to the fifth power minus two to the third power
Answer:
3117Step-by-step explanation:
[tex]5^5 - 2^3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:5^5\::\quad 3125\\\\=3125-2^3\\\\\mathrm{Calculate\:exponents}\:2^3\::\quad 8\\\\=3125-8\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:3125-8\:\\\\:\quad 3117[/tex]
The expression (8x + 4) inches represents the perimeter of a rectangle whose width is (3x − 4) inches. Find the length of the rectangle if x = 2.
Answer:
Length of the rectangle is 8 inches.
Step-by-step explanation:
Perimeter of rectangle = 2L + 2W
(8x+4) = 2L + 2(3x-4) where x = 2
(8(2)+4) = 2L + 2(3(2)-4)
20 = 2L + 4
16 = 2L
8 = L
Answer:
The length of the perimeter is 8
Step-by-step explanation:
solve the equation by using Properties of Equality 5x-10=20
Answer:
5x-10=20
5x=20-10
x=10:5
x=2
Answer:
x = 6.
Step-by-step explanation:
5x - 10 = 20
5x - 10 + 10 = 20 + 10
5x = 30
5x/5 = 30/5
x = 6.
What is the solution to the following inequality?
3x-1 < 2x + 4
Answer:
[tex]x<5[/tex]
Step-by-step explanation:
So we have the inequality:
[tex]3x-1<2x+4[/tex]
First, let's subtract 2x from both sides. The right cancels:
[tex]x-1<4[/tex]
Add 1 to both sides:
[tex]x<5[/tex]
And we're done!
Our solution is all number less than 5.
Suppose we roll a die once. What is the probability that we roll a 4 or an even number?
Answer:
You have a 1/2 or 50% chance of rolling a 4 or an even number
Step-by-step explanation:
They're three even numbers on a die 2,4,6 and that's half of the total option.
The probability of rolling a 4 and an even number is 2/3.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Sample space for rolling dice.
= {1, 2, 3, 4, 5, 6}
There are 6 possible outcomes.
There are three even numbers.
The probability of rolling a 4 or an even number.
= 1/6 + 3/6
= 1/6 + 1/2
= (1 + 3)/6
= 4/6
= 2/3
Thus,
The probability of rolling a 4 and an even number is 2/3.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ3
35,892 rounded nearest hundred
Answer:
35,900
Step-by-step explanation:
92 is higher than 50
Which graph represents the function f(x)
-3|x|+1?
Answer:
This was the graph that I got. (Btw, I used a website called Desmos to graph that out)
Step-by-step explanation:
Anyone out there to help me? Please.
Answer:
x=72°
Step-by-step explanation:
A=360-102-95-55=108
x=180-108=72
10x - 4.5 + 3x = 12x - 1.1
Answer:
x = 3.4
Step-by-step explanation:
[tex]10x-4.5+3x=12x-1.1\\\\10x+3x-4.5=12x-1.1\\\\13x-4.5=12x-1.1\\\\13x-4.5+4.5=12x-1.1+4.5\\\\13x=12x+3.4\\\\13x-12x=12x-12x+3.4\\\\\boxed{x=3.4}[/tex]
Hope this helps.
5. You are a packer for Acme Bottling Company. You fill cartons with bottles,
seal the cartons, and stack them on pallets. Monday through Friday you are
paid $0.41 for each carton you fill. On Saturday you are paid an additional
$0.21 for each carton you fill. What is your total pay for a week in which you
filled the following number of cartons?
Copyright by The McGraw-Hill Companies, Inc. All rights
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
210
175
224
160
216
90
Answer:
$459.65
Step-by-step explanation:
The total number of cartons you filled was ...
210 +175 +224 +160 +216 +90 = 1075
so your pay for filling those is ...
$0.41 × 1075 = $440.75
You get an additional amount of pay for the cartons filled on Saturday:
$0.21 × 90 = $18.90
So your pay for the week is ...
$440.75 +18.90 = $459.65
Help nowwwww plzzzzzz
Step-by-step explanation:
I use the calculator called desmos try to get that and I might help you
which statement is true in this equation?
Answer:
B) Stan made a mistake in step one.
Step-by-step explanation:
B) Stan made a mistake in step one.
When he multiplied 8(n+20), he should have gotten 8n+160, not 8n+20.
Answer:
B
Step-by-step explanation:
He made a mistake in Step: 1
it's supposed to be
n+8n+8(20)=110
distributive property
Hope this helps :)
What is the ratio of the afternoon to morning temperatures shown in the table? Temperatures Morning Afternoon 15 degrees. 30 degrees. 20 degrees. 40 degrees. 26 degrees. 52 degrees. 1 to 13 1 to 2 2 to 1 13 to 1
Given:
Morning Temperature = 15 degrees, Afternoon Temperature = 30 degrees
Morning Temperature = 20 degrees, Afternoon Temperature = 40 degrees
Morning Temperature = 26 degrees, Afternoon Temperature = 52 degrees
To find:
The ratio of the afternoon to morning.
Solution:
Taking any one pair of morning and afternoon temperature, we can find the ratio.
Morning Temperature = 15 degrees
Afternoon Temperature = 30 degrees
[tex]\text{Ratio}=\dfrac{\text{Afternoon Temperature}}{\text{Morning Temperature}}[/tex]
[tex]\text{Ratio}=\dfrac{30}{15}[/tex]
[tex]\text{Ratio}=\dfrac{2}{1}[/tex]
[tex]\text{Ratio}=2:1[/tex]
Therefore, the correct option is C.
Answer:
C
Step-by-step explanation:
PLEASE! IM STUCKKKKK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
John bought 15 cookies and ate 3 of them what %of the cookies
Answer:
1200% I think hats what the calculator says
Step-by-step explanation:
The temperature in Passaic is 64 degrees at dawn. The temperature continued to go down another 8 degrees and then increased 6 degrees in the afternoon. Write a number sentence that represents the situation.
write 21 and 4/5 as a decimal
Answer:
21 as a decimal: 21.00; 4/5 as a decimal: .8, 0.80
Step-by-step explanation:
Hope i helped, SJ
Please someone solve this
Answer:
all real numbers greater than or equal to 0
Can somebody please help me with this question
Answer:
(3^2) - n
Step-by-step explanation:
For this problem we will take it step by step to build the expression:
raise 3 to the 2nd power
= 3^2
then find the difference of the result and n
= (3^2) - n
Hence, your final expression should be (3^2) - n.
Cheers.
