Complete Question
Consider H0: μ=38 versus H1: μ>38. A random sample of 35 observations taken from this population produced a sample mean of 40.27. The population is normally distributed with σ=7.2.
Calculate the p-value. Round your answer to four decimal places.
Answer:
The [tex]p-value = 0.030742[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 38[/tex]
The sample size is n = 35
The sample mean is [tex]\= x = 40.27[/tex]
The standard deviation is [tex]\sigma = 7.2[/tex]
The null hypothesis is [tex]H_o[/tex]: μ=38
The alternative hypothesis is H1: μ>38
Generally the test statistics is mathematically represented as
[tex]t = \frac{ \= x -\mu }{\frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]t = \frac{ 40.27 - 38 }{\frac{ 7.2 }{ \sqrt{ 35} } }[/tex]
=> [tex]t =1.87[/tex]
Generally from the z table the p-value of [tex](Z > 1.87 )[/tex] is
[tex]p-value = P(Z > 1.87) = 0.030742[/tex]
Which of the following situations would make it nearly impossible to do a census?
A. Find what percentage of students at a local university own bicycles.
B. Find the percentage of male students at a middle school who support school uniforms.
C. Determine the proportion of employees at the local fast food restaurant who work another job.
D. Determine what percentage of octopi in the ocean can change color.
The front door of a house is painted white and blue. Each window is a square with a side length of 7 inches. What is the area of the door that is painted blue?
PLEASE HELP DUE SOON
Answer:
49in square
Step-by-step explanation:
multiply the width and length to get the area so 7in times 7in equals 49in square.
If 23 is a subtract from a number, the result is -8. Find the numbers
Answer:
15
Step-by-step explanation:
Step 1:
x - 23 = - 8 Equation
Step 2:
x = - 8 + 23 Add 23 on both sides
Answer:
x = 15
Hope This Helps :)
Four gallons of gasoline cost $14.
A customer will get
gallon for $3.50.
A customer will get
gallons for $7.00.
A customer will get
gallons for $14.00.
A customer will pay $
for 6 gallons.
Answer:
A customer will get 1 gallon for $3.50.
A customer will pay $ 21 for 6 gallons.
A customer will get 4 gallons for $14.00.
A customer will get 2 gallons for $7.00.
Step-by-step explanation:
This is solved using the unitary method .
Four gallons cost $ 14
1 gallon costs $ 14/4= $ 3.5
6 gallons cost = $ $ 14/4 *6= $ 21
2 gallons cost = $ 14/4 *2= $14/2= $ 7
A customer will get 1 gallon for $3.50.
A customer will pay $ 21 for 6 gallons.
A customer will get 4 gallons for $14.00.
A customer will get 2 gallons for $7.00.
This can be found out by using the direct ratio as well.
Gallons Cost
4 $14
1 x
Using cross product
x*4= $ 14*1
x= $ 14/4 = $3.5
The same can be applied to find the rest and we get the same answers.
what is the answer to this equation?? (-3)^2=( )( )=
Answer: 9
I did (-3)^2= cause I'm not sure if you meant to put ( ) ( ) in it. If you did well, sorry. I got (-3)^2=9.
64 1 x dx 0 Maple Generated Plot At least one of the limits of integration is not finite. The integrand is not continuous on [0, 64]. Determine whether it diverges or converges. converges diverges Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.) 7 Incorrect: Your answer is incorrect.
Answer:
hello your question is incomplete attached below is the complete question
answer : The Integrand converges
Step-by-step explanation:
attached below is the detailed solution to the problem
i) the integrand is not continuous on [ 0, 64 ] hence the integrand is improper
ii) determine if the integrand diverges or converges ( attached below )
The integrand is finite and it converges at 16
2.9 months to 4.9 months
Answer:
2 months difference
Step-by-step explanation:
4.9-2.9=2
The number of road construction projects that take place at any one time in a certain city follows a Poisson distribution with a mean of 3. Find the probability that exactly four road construction projects are currently taking place in this city.
Answer:
The probability that exactly four road construction projects are currently taking place in this city is 0.168.
Step-by-step explanation:
Let X denote the number of road construction projects that take place at any one time in a certain city.
It is provided that X follows a Poisson distribution with parameter λ = 3.
Then the probability mass function of X is:
[tex]p_{X}(x)=\frac{e^{-\lambda}\cdot \lambda^{x}}{x!};x=0,1,2,3...[/tex]
Compute the probability that exactly four road construction projects are currently taking place in this city as follows:
[tex]P(X=4)=\frac{e^{-3}\cdot 3^{4}}{4!}[/tex]
[tex]=\frac{0.04979\times 81}{24}\\\\=0.16804125\\\\\approx 0.168[/tex]
Thus, the probability that exactly four road construction projects are currently taking place in this city is 0.168.
Using the Poisson distribution, it is found that there is a 0.1954 = 19.54% probability that exactly four road construction projects are currently taking place in this city.
We have only the mean for the discrete distribution, hence, the Poisson distribution is used.
Poisson distribution In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.In this problem, the mean is of 3, hence [tex]\mu = 3[/tex].
The probability that exactly four road construction projects are currently taking place in this city is P(X = 4), hence:
[tex]P(X = 4) = \frac{e^{-3}3^{4}}{(4)!} = 0.1954[/tex]
0.1954 = 19.54% probability that exactly four road construction projects are currently taking place in this city.
You can learn more about the Poisson distribution at https://brainly.com/question/13971530
Jordan and Micheal are planing a graduation party with 45 guests. They want to seat an equal number of guests at each table.Each table should have more than one guest.List te different ways the guests and tables could arranged. Tell how many tales are needed for each group of guests. guests at each table.Each table should have more than one guest.List different ways the guests and tables
Answer:9 tables with 5 people at each one
Step-by-step explanation:
Using the factorization that defines the arrangement, there can be 9 tables for 45 guests with 5 guests per table. "A large number is factorised, which is the process of breaking it down into smaller numbers that, when multiplied together, produce the original number. A number is factorised when it is divided into its factors or divisors."
What is factorization?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics. The Grouping method, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF) are the four main methods of factoring. Divide a number by the smallest prime number (larger than 1) that divides it evenly and leaves no remainder to find its factors quickly. As you receive more numbers, repeat this procedure until you reach 1.
Here,
Jordan and Micheal are planing a graduation party with 45 guests. They want to seat an equal number of guests at each table.Each table should have more than one guest.
when we factorize 45,
1x45
3x15
5x9
We can arrange in the order of 5 guest on each table and their can be 9 tables for 45 guests using the factorization that defines "Factorization is the process of dividing a large number into smaller ones that, when multiplied together, yield the original number. Factorization is the division of a number into its factors or divisors."
To know more about factorization,
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write an integer for the situation.
Ascend 50 feet
Answer:
50 ft
Step-by-step explanation:
An integer is a whole number.
If you're Ascending that means to go up( or to increase in height. This means that the number would be positive. The 50 feet would give us our number, so our answer is (+) 50 ft.
Find the percent of increase or decrease, p, from $8 to $13. Round to the nearest percent (ones digit).
p= ______%
A machine fill bags with cement. Assume the actual masses of the bags have a normal distribution. If the standard deviation of the amount dispensed is 1.1 lb and the mean is set to 50 lb. What proportion of bags have a mass more than 50.4 lb? (2 p
Answer:
0.35808
Step-by-step explanation:
Given a normal distribution :
Mean (m) = 50 lb
Standard deviation (σ) = 1.1 lb
Proportion of bags with mass more than 50.4 lbs
X : X > 50.4 lbs
Using the Zscore relation :
Zscore = (x - m) / σ
Zscore = (50.4 - 50) / 1.1
Zscore = (0.4) / 1.1
Zscore = 0.3636363
P(Z > 0.3636) = 1 - P(Z < 0.3636)
P(Z < 0.3636) = 0.64192
1 - P(Z < 0.3636) = 1 - 0.64192 = 0.35808
B
m2
= 540
(4.x - 10)
(2x + 7)
(741-25)
Answer:2=540(4x-10)(2x+7)(741-25)
Step-by-step explanation:
A survey of country club members finds that 70% of members use the golf course, 50% use the tennis courts, and 5% use neither the golf course nor the tennis courts. Although you are not told whether use of the golf course is independent from use of the tennis courts, you are asked to identify the probability that a randomly selected member uses the golf and tennis courts. What is this probability that the member uses the golf course but not the tennis courts?
Complete Question
A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members use each facility. A survey of the membership indicates that 70% use the golf course, 50% use the tennis courts, and 5% use neither of these facilities. One club member is chosen at random. What is the probability that the member uses either the golf or the tennis facilities?
Answer:
The value is [tex]f = 0.45[/tex]
Step-by-step explanation:
From the question we are told that
The number of members is n = 600
The proportion of those that use the golf course is p = 0.70
The proportion of those that use the tennis courts is q = 0.50
The proportion of those that use neither of these facilities is k = 0.05
Generally the probability that a member use the golf course or the tennis court is
[tex]c = 1 - q[/tex]
=> [tex]c = 1 - 0.05[/tex]
=> [tex]c = 0.95[/tex]
Generally the probability that a member use the golf course or the tennis court can also be represented as
[tex]c = p + q - z[/tex]
Here z represent the probability that a member uses golf course and tennis court
So
[tex]0.95= 0.7 +0.50 - z[/tex]
=> [tex]z = 0.25[/tex]
Generally the probability that the member uses the golf course but not the tennis courts is mathematically represented as
[tex]f = p -z[/tex]
=> [tex]f = 0.70 -0.25[/tex]
=> [tex]f = 0.70 -0.25[/tex]
=> [tex]f = 0.45[/tex]
What is the value of 2^0 in standard form
Answer:
1
Step-by-step explanation:
Anything raised to 0 is 1.
what do i fill out in empty space :/?
Step-by-step explanation:
It is a ratio so it will be
3:2
1: .67
Solve for n:
-5(n + 6) = 3(7 + 3n) + 3n
Answer:
n = -3
Step-by-step explanation:
-5n-30=21+9n+3n
-5n-30=21+12n
-17n=51
n=-3
Coliform bacteria are distributed in a river at an average concentration of 1 per 20 cc of water. If we draw from the river a test tube containing 10cc of water, what is the probability that the sample contains exactly 2 coliform bacteria
Answer:
0.5
Step-by-step explanation:
Given that: An average concentration of 1 coliform bacteria per 20 cc of the river water.
This implies that in 20 cc of the water, it is certain that 1 coliform bacteria would be found. So that:
pr(1 bacteria in 20 cc of water) = 1
i.e the probability of getting 1 bacteria in 20 cc of water is 1.
The probability of the 10 cc sample of water containing 2 coliform bacteria can be determined as:
pr(2 bacteria in 10 cc of water) = [tex]\frac{1}{2}[/tex]
= 0.5
a person who wrote history is called
Step-by-step explanation:
A historianis a person who studies and writes about the past and is regarded as an authority on it. Historians are concerned with the continuous, methodical narrative and research of past events as relating to the human race; as well as the study of all history in time.
hope this help!
Help me PLEASE! will mark brainliest and also the other things
THX :)
Answer:
for A n=6
for B x= 3.5
Step-by-step explanation:
A. so if you know what one thing is (10)then you sub them 28-10=18 now do 18/3 which is 6
b. same think but you do 7/2 which is 3.5
HOPE THIS HELPED!!!!!!!! :)
Question 9
Solve the equation.
4^(12 - 2x) = 256
O {4}
O {64}
O {6}
{-4}
Answer:
The answer is 4
Step-by-step explanation:
If this helps may i plz have brainliest :)
Please help me I really need the answer
Answer:
60 minutes
Step-by-step explanation:
its the first time they line up.
rittany is selling homemade cupcakes at the community bake sale. The graph shows the cost/profit vs. the number of cupcakes sold.
How much did Brittany spend so that she could bake the cupcakes? (Remember to include the units!)
Neil buys a refrigerator that costs him $995 plus a 9.3% sales tax rate. what is the sales tax of the retail purchase. round to two decimal place
Answer:
$92.54
Step-by-step explanation:
sales tax = cost * tax rate
= 995 * .093
= 92.535
It's using theorms. Both 8,9
The line segment and ray with the arrow markers on them are parallel, so y = 30 because they are alternating interior angles.
Similarly, x = 75 because it corresponds on the angle with measure 75º at the top of the triangle. This also follows from the given two parallel lines.
Answer:
I don't know, Sorry
Step-by-step explanation:
Rectangle DEFG with vertices D(-2, 7), E(2, 3), F(0, 1), and G(-4, 5):
a) translation along the rule (x,y) → (x+6, y-8)
b) reflection in the y-axis
D'(_, _)
E'(_, _)
F'(_, _)
G'(_, _)
Answer:
D' (-4, -1)
E' (-8, -5)
F' (-6, -7)
G' (-2, -3)
Step-by-step explanation:
To solve this each point would go under this:
(x, y) --> (-1(x + 6), y - 8)
the x + 6 and y - 8 are the transformation. The -1 multiplied by x represents the reflection over the y-axis
D --> D':
(-2, 3) --> (-4, -1)
E -- E':
(2, 3) --> (-8, 5)
F --> F':
(0, 1) --> (-6, -7)
G --> G':
(-4, 5) --> (-2, -3)
jeatofine anwser me 48 divided by2 (9+3) =
Answer:
2
Step-by-step explanation:
48/2(9+3)
=48/2(12)
=48/24
=2
hope this helps
plz mark as brainliest
Answer:
The answer is 2 Have a blessed and safe day
Which of the following are equivalent expressions? SELECT ALL THAT APPLY.
A
(x2)5= x7
B
x9 ÷ x4 = x13
C
x-2 = 1x2
D
(2x2y5 )3 = 2x5y8
E
(2x2y5)3 = 8x6y15
Answer:x^1/2 • 1/3 x^1/2 + 1/3
Step-by-step explanation:
The equivalent expressions are,
C) x⁻² = 1/x²
E) (2x²y⁵)³ = 8x⁶y¹⁵
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, We can all the expression as,
A) (x²)⁵ = x⁷
LHS, (x²)⁵ = x¹⁰
≠ x⁷
B) x⁹ ÷ x⁴ = x¹³
LHS, x⁹ ÷ x⁴ = x ⁹⁻⁴
= x⁵
≠ x¹³
C) x⁻² = 1/x²
LHS, x⁻² = 1/x²
= 1/x²
D) (2x²y⁵)³ = 2x⁵y⁸
LHS, (2x²y⁵)³ = 8x⁶y¹⁵
≠ 2x⁵y⁸
E) (2x²y⁵)³ = 8x⁶y¹⁵
LHS, 2x²y⁵)³ = 8x⁶y¹⁵
Thus, The equivalent expressions are,
C) x⁻² = 1/x²
E) (2x²y⁵)³ = 8x⁶y¹⁵
Learn more about the mathematical expression visit:
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What is 4y+2y simplified by?
Answer:
4*y+2*y
Step-by-step explanation:
Nancy has $700 and is spending $30 per week. Libby has $200 and is saving $20 per week. In how many weeks will Nancy and Libby have the same amount of money?
12
20
15
10
Answer:
20
Step-by-step explanation:
Answer:
D 10
because 400=400
Step-by-step explanation:
N :700 - 30 (x)
L : 200 - 20 (x)
so the 1st week they'll both equal
N:670
L:220
we'll continue the subtraction process until they both hit and equal amount or hit zero
or the faster way, use the options of weeks were giving
lets try A
12th week
L: 12 x 30 = 360
700- 360 = 340
N: 12 x 20 = 240
200 + 240 = 440
340 < 440
we're a bit off from equal so next is B
N: 30 x 20 = 600
700 - 600 = 100
L: 20 x 20 = 400
200+ 400 = 600
100<600
this is incorrect as well which makes it incorrect which makes the user above incorrect
c.
N; 15 x 30 = 450
700 - 450 = 250
L: 15 x 20 = 300
200 + 300 = 500
250 < 500
Incorrect
the last option might be correct but lets check
30 x 10 = 300
700-300 = 400
10 x 20 = 200
200+200 = 400!
400=400 D is correct
