Answer:
2³
Step-by-step explanation:
2×2×2...there are 3 2s which is 2³
Travel time data is collected on an arterial. With 30 runs, an average travel time of 152 seconds is computed over the 2.0 miles length, with a computed standard deviation of 17.3 seconds.
Required:
a. Compute 95% confidence bounds on your estimate of the mean.
b. Was it necessary to make any assumption about the shape of the travel-time distribution?
Answer:
a
The 95% confidence bounds is [tex] 145.80 < \mu < 158.19 [/tex]
b
It was not necessary to make any assumption about the shape of the travel time distribution
Step-by-step explanation:
From the question we are told that
The sample size is n = 30
The sample mean is [tex]\=x = 152[/tex]
The standard deviation is [tex]\sigma = 17.3 \ second[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{17.3 }{\sqrt{30} }[/tex]
=> [tex]E = 6.19 [/tex]
Generally 95% confidence bounds is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]152 -6.19 < \mu < 152 -6.19[/tex]
=> [tex] 145.80 < \mu < 158.19 [/tex]
This 95% confidence bounds show that there is 95% confidence that the true mean lies within this bound hence there is it was not necessary to make any assumption about the shape of the travel time distribution
A sample of size 100 is selected from a population with p = .40.
a. What is the expected value of p(bar)?
b. What is the standard error of p(bar)?
c. Show the sampling distribution of p(bar)?
d. What does the sampling distribution of p show?
Answer:
(a) 0.40
(b) 0.049
(c) [tex]\bar p\sim N(0.40,0.049^{2})[/tex]
(d) Explained below
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]E(\bar p)=p[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]SE(\bar p)=\sqrt{\frac{p(1-p)}{n}}[/tex]
Given:
n = 100
p = 0.40
As n = 100 > 30 the Central limit theorem is applicable.
(a)
Compute the expected value of [tex]\bar p[/tex] as follows:
[tex]E(\bar p)=p=0.40[/tex]
The expected value of [tex]\bar p[/tex] is 0.40.
(b)
Compute the standard error of [tex]\bar p[/tex] as follows:
[tex]SE(\bar p)=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.40(1-0.40)}{100}}=0.049[/tex]
The standard error of [tex]\bar p[/tex] is 0.049.
(c)
The sampling distribution of [tex]\bar p[/tex] is:
[tex]\bar p\sim N(0.40,0.049^{2})[/tex]
(d)
The sampling distribution of p show that as the sample size is increasing the distribution is approximated by the normal distribution.
Suppose that 28 crayons, of which four are red, are divided randomly among Jack,Marty, Sharon, and Martha (seven each). If Sharon has exactly one red crayon, what is the probability that Marty has the remaining three?
Answer:
0.0263
Step-by-step explanation:
there are 5,280 feet in 1 mile. if Riley ran 26,400 feet how many miles did she run
f(x) = 2( x ) + 10, Solve when given f(x) = -22 sorry it’s just I didn’t get function notation
Answer:
x=-16
Step-by-step explanation:
[tex]2x + 10 = - 22[/tex]
[tex]2x = - 22 - 10 = - 32[/tex]
[tex]x = - 32 \div 2 = - 16[/tex]
Five more than Bob’s age is 23. How old is Bob? equation
Answer:
18 Years OldStep-by-step explanation:
23 - 5 = 18 Years Old
Hope this helps! <3
Answer:
18 yeara old
Step-by-step explanation:
let Bob's age be 'x'
5 more than Bob's age means
5+x ...is 23
Therefore, 5+x=23
x= 23-5
18
Bob is 18 years old.
Hope it helped.
At a particular university, statistics students miss a mean of 2.1 days of school each semester with a standard deviation of 2.5 days. What is the probability that the mean number of days missed for a random sample of 64 students will be more than 3
Answer:
0.0018
Step-by-step explanation:
P(z>2.88)=1-0.9980= 0.0018
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts it?
A.
0.09
B.
0.11
C.
0.36
D.
0.44
Answer:
0.36
Step-by-step explanation:
0.45 x 0.80
= 0.36
What is the Esquire root of 3?
Answer:
1.732
Step-by-step explanation:
.......................
Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary.
Answer:
The answer is C : $115.54
Step-by-step explanation:
If you add every single items cost together, the total is $109.00
60 + 14 = 74
10 + 25 = 35
74 + 35 = $109
You then caculate what 6% percent of 109 is = $6.54
After that, you add the total and percent together
$6.54 + $109.00 = $115.54
Answer:answer is c
Step-by-step explanation:I took edge 2022
what is the product 7/11 and 3/7?
Answer: 3/11
Step-by-step explanation:
you must do cross canceling to simplify the expression
then just do multiplication from left to right
7/11 times 3/7 the 7 can be crossed out and turned into a 1
then do 1 times 3 for the numerator then 11 times 1 for the denominator and get you answer 3/11
Which equation BEST demonstrates the associative property of multiplication?
(5 + 6) x 7 = 7 x (6 + 5)
(5 x 6) x 7 = 5 x (6 x 7)
5 x 7 = 5 x 7
5 x 7 = 7 x 5
Answer:
c
Step-by-step explanation:
A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the
flowerbed for 16 minutes, and then fies directly back to the hive at 8 feet
per second it is away from the hive for a total of 20 minutes
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
a. Write the equation Leld be the distance of the flowerbed from the hive
(Type an equation Use integers of fractions for any numbers in the equation. Do not simplity)
Answer:
a. s = [tex]\frac{d}{t}[/tex]
b. 9600 ft
Step-by-step explanation:
In the given question, the motion of the bee involves speed (s), distance (d) and its time of flight (t).
a. The equation required to determine the distance of the flowerbed from the hive/ hive to flowerbed is;
speed = [tex]\frac{distance}{time}[/tex]
i.e s = [tex]\frac{d}{t}[/tex]
b. Given that: the bee flies back at 8 feet per second, and in 20 minutes (1200 seconds);
s = [tex]\frac{d}{t}[/tex]
⇒ d = s x t
= 8 ft/s x 1200 s
= 9600 ft
The flowerbed is 9600 feet from the hive.
A bus holds 30 people, and a van holds 10 people. Write an expression that shows the number of people that could fill b buses and v vans?
Answer:
30b+10v
Step-by-step explanation:
A pattern is describe by an= 3n -5 what are the first four ters of the sequence?
9514 1404 393
Answer:
-2, 1, 4, 7
Step-by-step explanation:
Start with n=1. Put the value where n is in the expression and do the arithmetic.
a1 = 3·1 -5 = -2
a2 = 3·2 -5 = 1
a3 = 3·3 -5 = 4
a4 = 3·4 -5 = 7
__
You may notice that each term is 3 more than the previous one.
Pleas help I am brainliesting
Answer:
$2.22 i think
Step-by-step explanation:
Answer:
You would have $2.22 left.
Step-by-step explanation:
6.96 - (0.79 * 6)
6.96 - 4.74
2.22
Hey! I'm having trouble with this one problem in precalc.
Verify the identity: cot x minus pi divided by two = -tan x
Answer:
O-O is this highschool stuff sorry couldnt help
Step-by-step explanation:
Show your work:
−15x = 0
Answer:
Step-by-step explanation:
-15x = x = 0/-15
x = 0
Step-by-step explanation:
-15x=0
-15x/-15=0/-15
x=0
-15(0)=0
A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.
r(x) = 0.05(x^2 + 1)(x - 6)
Consider the graph of function r.
Function r has (blank) and (blank). Based on the instantaneous growth rate, the population decreased (blank) hours and the population increased (blank) hours.
Answer:
Decreased 4 days-96 hours
Increased 6 days-144 hours
Step-by-step explanation:
In order to solve this you just have to look at the graph and after the start of the experiment which is basically the origin of the graph and as you can see immidiately goes down after the start and it reaches the turning point in the day four which is when the graph starts to go up in the Y axis, so that day it would start the increase, and it increases from day 4 to 10 that would be 6 days, and the decrease would be from the origin to day 4.
Please help me for a TEST review tomorrow!!
Answer:
Hope you understand my writing!
can i get help plzzzzz
and explain how you got the answer
Answer:
ok
Step-by-step explanation:
5,049 +48=105
MD Model with Mathematics A comic store sells two rare
comic books for $1,824. The price of one comic book is
11 times as much as the price of the other.
• 'Write an equation to model the price of the less expensive
comic book. Then find the price.
• Write an equation to model the price of the more expensive
comic book. Then find the price.
Let the cost of the less expensive comic book be x .
Then :-
[tex]1284 - 11x = x[/tex]
Using this equation , we can find the cost of the less expensive comic book .
Price of the less expensive book :-
[tex]1284 - 11x = x[/tex]
[tex]11x + x = 1284[/tex]
[tex]12x = 1284[/tex]
[tex]x = \frac{1284}{12} [/tex]
[tex]x = 107[/tex]
Cost of the less expensive book is 107 .
Therefore , the epice of the less expensive book = $ 107 .
Solution (b) :-Cost of the more expensive book = 11x
Which means :-
[tex]1284 - x = 11x[/tex]
[tex]11x + x = 1284[/tex]
[tex]12x = 1284[/tex]
[tex]x = 107[/tex]
[tex]11x = 11 \times 107[/tex]
[tex] = 1177[/tex]
Therefore , the price of the more expensive book = $ 1177 .
Solve the inequality. Graph the solution. -4s<6s +1
Answer:
Step-by-step explanation:
First solve the inequality by writing it.
-4s < 6s + 1
Now subtract -1 on both sides.
-4s - 1 < 6s
Now add 4s on both sides to combine like terms.
-1 < 10s
Now divide 10 on both sides.
-0.1 < s
Now flip it over properly.
s > -0.1
Hope this helped! <3
-9 - 11 = 2q + 4
Solve?
Answer:
q = -12
Step-by-step explanation:
-9 - 11 can be written as -9 + (-11)
-20 = 2q + 4
Subtract 4 from both sides.
-24 = 2q
Divide both sides by 2
-12 = q
Hope I helped :)
Please consider Brainliest :)
Given m||n, find the value of x.
t
>m
(x+14)
(9x-8)"
Answer:
1st one
Step-by-step explanation:
Answer:
1st one
Step-by-step explanation:
This is my last question.
Answer:
NOM and POR
(so so sorry if it's wrong, I tried my best to help you but I had to look up an image of a angle like that but i hope you have a wonderful day, sorry again if i am wrong, i hope i help in a way, in i did not, sorry)
I needs help how do i shave my ba. lls
Answer:
WHAT THE FAWK SRE YOU SAYING AND WRITING
Answer:
truste me dont!
Step-by-step explanation:
Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.
PART A:The number of hours that makes the equation true is
Options: 24, 27, 29,31,34
PART B:Round your answer to the nearest whole number. The manager's prediction is
Options: equal to, less than, greater than
the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.
Answer:
[tex]x = 24[/tex]
24 is less than 35
Step-by-step explanation:
Given
Jacob: 2000x + 3000
Carlos: 3800x - 40000
Solving (a):
To solve (a), we need to equate both expressions;
[tex]3800x - 40000 = 2000x + 3000[/tex]
Collect Like Terms
[tex]3800x - 2000x = 40000 + 3000[/tex]
[tex]1800x = 43000[/tex]
Solve for x
[tex]x = 43000/1800[/tex]
[tex]x = 24[/tex] --- Approximated
Solving (b);
The manager's prediction is 35 hours.
And the actual hours is 24.
By comparison;
24 is less than 35
what is the slope of (-3,4) (-2,0)
Answer:
m = − 4
Step-by-step explanation:
Use the slope formula to find the slope m
Hope this helps :)
9. Verizon offers a cell phone plan that includes a flat fee of $85 per month for the first phone and $7.50 a
month for each additional phone. If Maria's phone bill was $115, how many extra phone lines does she
have?
Answer:
She has 4 extra phone lines
Step-by-step explanation:
85 + 7.5p = 115
115-85 = 30
7.5p ÷ 7.5
30 ÷ 7.5
p = 4