Answer:
a
[tex]P(X > 7) = 0.5[/tex]
b
[tex]P(X < 3) = -0.5[/tex]
c
[tex]x = 6.2 \ hours[/tex]
d
[tex]x_1 = 8 \ hours[/tex]
e
Mean [tex]\mu = 7[/tex]
Standard deviation [tex]s \approx 1.1547[/tex]
Step-by-step explanation:
From the question we are told that
The amount of time a repairman needs to fix a furnace is uniformly distributed from 5 and 9 hours
Generally the probability that it takes the repairman more than 7 hours to fix a furnace is mathematically represented as
[tex]P(X > 7) = \frac{9- 7}{9-5}[/tex]
=>[tex]P(X > 7) = 0.5[/tex]
Generally the probability that a randomly selected furnace repair requires less than 3 hours. is mathematically represented as
[tex]P(X < 3) = \frac{3 -5}{9-5}[/tex]
=>[tex]P(X < 3) = -0.5[/tex]
Generally the 30th percentile of furnace repair times is mathematically represented as
[tex]30^{th} \ percentile = \frac{x - 5}{9-5}[/tex]
=> [tex]0.3 = \frac{x - 5}{9-5}[/tex]
=> [tex]x = 6.2 \ hours[/tex]
Generally the time taken for the longest 25% of furnace repair is mathematically evaluated as
[tex]75^{th} \ percentile = \frac{x_1 - 5}{9-5}[/tex]
Here making use of the [tex]75^{th}[/tex] because we are considering duration that fall with the top [tex]25^{th}[/tex]
=> [tex]0.75 = \frac{x_1 - 5}{9-5}[/tex]
=> [tex]x_1 = 8 \ hours[/tex]
Generally the mean is mathematically represented as
[tex]\mu = \frac{5 + 9 }{2}[/tex]
=> [tex]\mu = 7[/tex]
Generally the standard deviation is mathematically represented as
[tex]s = \sqrt{ \frac{(9- 5)^2}{12} }[/tex]
=> [tex]s \approx 1.1547[/tex]
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
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.
Can you help me please
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.
I don’t get this AT ALL I need help tia.
Answer:
The first graph is the correct answer.
Step-by-step explanation:
I hope this helps.
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.
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
please please please please please
heeeeeeeeelp
Answer and I will give you brainiliest
9514 1404 393
Answer:
your marked choice is correct: x = e
Step-by-step explanation:
For the line to go through the origin, the ratio of ln(x) to x at the point must equal the slope at the point.
The slope of ln(x) is 1/x, so we require ...
ln(x)/x = 1/x
ln(x) = 1 . . . . . . multiply by x
x = e . . . . . . . . take antilogs
Are the statements true or false? Select True or False for each statement. Statement True False -6:3=3 :(-6) -8.9=9 .(-8)
Step-by-step explanation:
for the first one -6/3=3/(-6)
is false
The left side − 2 does not equal to the right side − 0.5 , which means that the given statement is false.
False
-8*9=9*(-8)
is true
The left side − 72 is equal to the right side − 72 , which means that the given statement is always true.
True
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)
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
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:
can i get help plzzzzz
and explain how you got the answer
Answer:
ok
Step-by-step explanation:
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
-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 :)
For the y-values in the given in the table, add x-values that will eliminate the set of ordered pairs as being a function. State the four c-values. X, Y 9,2,6,11
The x-values could be 1,3,1,3 because this would eliminate it fom being a function.
Please help me for a TEST review tomorrow!!
Answer:
Hope you understand my writing!
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:
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:
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:
What is the Esquire root of 3?
Answer:
1.732
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:
water balloon was thrown from a window. The height of the water balloon over time can be modeled by the function y=-16x^(2)+160x+50. What was the maximum height of the water balloon after it was thrown?
Answer:
450 Is the maximum height.
Step-by-step explanation:
Use x=-b/(2a) to get your answer.
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
Perfect Purple Water The recipe for Perfect Purple Water says, "Mix 8 ml of blue water with 3 ml of red water." lada mixes 24 ml of blue water with 9 ml of red water. Andre mixes 16 ml of blue water with 9 ml of red water. . Which person will get a color mixture that is the same shade as Perfect Purple Water? Explain or show your reasoning.
Analysing the question:
We are given that the ratio between the blue and red color is 8 : 3
as long as the volumes of the colours added simplify to 8 : 3 , the color will be Perfect Purple
Lada's Solution:
Lada mixed 24 mL of blue water with 9 mL of red water
we will try to simplify this ratio:
24:9 = 24 / 9
8 / 3
8 : 3
Hence, the ratio of the colours in Lada's mixture is correct. So, Lada will get perfect purple water
Andre's Solution:
Andre mixed 16mL of Blue water with 9 mL of red water
we will try to simplify this ratio:
16 : 9 = 16 / 9
THIS RATIO CANNOT BE SIMPLIFIED
Hence, the ratio of blue and red color in Andre's mixture is 16 : 9
but the ratio for a perfect purple color is 8 : 3
Since the ratio in Andre's mixture is incorrect, she will NOT get the perfect purple colour
Answer:
Lada will get a color mixture that is the same shade as Perfect Purple Water.
Step-by-step explanation:
Proportions
The mix for Perfect Purple Water contains 8 ml of blue water with 3 ml of red water.
The exact proportion of both ingredients is, blue to red:
[tex]\displaystyle \frac{8}{3}[/tex]
Lada mixes 24 ml of blue water with 9 ml of red water. The proportion is:
[tex]\displaystyle \frac{24}{9}[/tex]
Simplifying by 3:
[tex]\displaystyle \frac{8}{3}[/tex]
The proportion obtained by Lada is the same shade as Perfect Purple Water.
Andre mixes 16 ml of blue water with 9 ml of red water, his proportion is:
[tex]\displaystyle \frac{16}{9}[/tex]
This fraction cannot be reduced and its result is not exactly the same as the perfect required proportion.
Thus, Lada will get a color mixture that is the same shade as Perfect Purple Water.
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 .
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
What is the Calculate
Answer:
From the given figure, we can see that
∠LON = ∠LOM + ∠MON
replacing the variables with the given values
77 = 9x + 44 + 6x + 3
77 = 15x + 47
15x = 30
x = 2
Finding ∠MON:
we are given that ∠MON = 6x +3
now that we know the values of x,
∠MON = 6(2) + 3
∠MON = 12 + 3
∠MON = 15°