Answer:
2 1/4
Step-by-step explanation:
A simple random sample of 100 men is chosen form a population with mean height 71 in and standard deviation 2.5 in. What is the probability that the average height of the men in the sample is less than 70.5in?
Answer:
2.28%
Step-by-step explanation:
The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu = mean, \sigma=standard\ deviation,x=raw\ score\\\\For\ a\ sample\ n\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\For\ x<70.5\ in\\\\Given \ that\ n=100, \mu=71\ in, \sigma=2.5\ in\\\\z=\frac{70.5-71}{2.5/\sqrt{100} }=-2\\\\From\ normal\ distribution\ table, P(x<70.5)=P(z<-2)=0.0228=2.28\%[/tex]
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
Sub to SZ Lexrn if that does not show search up shiyo on vr and first vid is them please help out , thx bye . If you do it cmt and ill make a post for yall for 100 points, please bro..
Answer:
Ooooook?
Step-by-step explanation:
Fine
List and describe the characteristics of a wave
Answer:
Crest = Highest point of the wave.
Trough = Lowest point of the wave.
Wavelength = Distance from one crest/trough to the next (m)
Wave Height = Height from trough to crest (m)
Wave steepness = ratio of wave height to wavelength.
Amplitude = distance from the centre of wave to the bottom of the trough (m)
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
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
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 .
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
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.
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 :)
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:
Please help me for a TEST review tomorrow!!
Answer:
Hope you understand my writing!
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select the true statement.
Answer:
segment EF is twice as long as segment AB
Step-by-step explanation:
Quadrilateral EFGH and quadrilateral ABCD are similar polygons. We can say that two polygons are similar if their corresponding angles are equal to each other and their corresponding sides are proportional to each other.
From the image attached, we can see that side CD and side GH are corresponding sides. The ratio of their sides are to be proportional.
GH / CD = 12 / 6 = 2
Therefore Quadrilateral EFGH is twice the size of Quadrilateral ABCD. Since side EF and side AB are proportional, therefore segment EF is twice as long as segment AB
1. which group weighed the most per item on the scale? how much did it weigh?
which group weighed the least per item on the scale? how much did it weigh?
And also complete the table.
Please help it is due right now ASAP
Answer:
cars weighed the most per item and desks the least
a) how would you work out 4 1/3 x 6?
The solution of the expression 4¹/₃ x 6 will be 26.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 4¹/₃ x 6. The expression of multiplication will be solved as below,
E = 4¹/₃ x 6
E = ( 13 / 3 0 x 6
E = 13 x 2
E = 26
Hence, the solution will be 26.
To know more about an expression follow
https://brainly.com/question/28773316
#SPJ2
–8(n + 7) >-96??????????????
Answer:
D) n<5
Step-by-step explanation:
if f (x) = 2/3x² + 8x, what is the value of f(6)?
Answer:
72
Step-by-step explanation:
replace the variable of x with 6 in the equation.
Please help and i will brainliestttt
Answer:
7/3 cm per hour
Step-by-step explanation:
Answer: 7/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3
Step-by-step explanation:
7 divided by 3= 3/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3
7 is for how much snow fell and the 3 is from how much time
The Complex Conjugate of 2 + 5i is equal to: _______+_________i
Answer:
2 - 5i
Step-by-step explanation:
For any complex number like say "z" written in rectangular form as;
z = a + ib, then from definitions the complex conjugate is given by the relation:
z* = a − ib
Now, from our question, we want to find the complex conjugate of 2 + 5i.
From the relationship above, it's clear that the complex conjugate here is;
2 - 5i
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:
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:
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:
Maria needs 3/4 of a cup of sugar for one serving of her recipe. How many cups of sugar will she need for 5 servings?
Answer:
3.75 cups of sugar. I think
Answer:
3 3/4
Step-by-step explanation:
3/5 times 5
1.multiiply the numerator by 5
The numerator is the top number which is 3 in this case
So 3x5 is 15
You keep the denominator 4
so 15/4 that is an improper fraction now divide 15 by 4
or count by fours
4,8,12,16
16 is more than 15 so the new numerator is 12 and how many times did we count to fours? 3 times
so 3 is a whole now subtract the 12 you already took with 15. 3 is the extra so 3 wholes and 3 extras which is 3 3/4
*remember you keep the denominator the same
Sandra sets the cruise control in her car to 67 miles per hour when she goes on road trips. Which equation can be used to find how many hours, h, it will take her to drive m miles at her constant speed?
Answer:
A. [tex]\frac{m}{65} = h[/tex]
I hope this helps!
What is the solution to the equation? √x - 3 + 1 = 6
A. 64
B. 46
C. 28
D. 22
The solution of the given equation √x - 3 + 1 = 6 will be x = 64 so option (A) will be correct.
What is the equation?An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
For example 8x + 7y = 15.
Given the equation,
√x - 3 + 1 = 6
√x + (-3 + 1) = 6
√x - 2 = 6
√x = 6 + 2 = 8
By squaring
x = 8² = 64.
Hence "The solution of the given equation √x - 3 + 1 = 6 will be x = 64".
For more about the equation,
brainly.com/question/10413253
#SPJ1
Answer:the correct answer is C.28
Step-by-step explanation:
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:
New help math please I am stuck
Answer: Can u post a question?
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 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
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.