Answer:
a) the 95% confidence interval for the true mean µ is 60.971, 65.629
The exact 95% confidence interval for the true mean µ is 60.971, 65.629
P (x`- ∝ s/√n<u <x`+ ∝ s/√n) = 0.95
Step-by-step explanation:
n= 50
x`= 63.3
s= 8.4 minutes
∝= 95%= ±1.96
The formula for calculating the confidence interval is:
x`± ∝ s/√n
Putting the values
x`± 1.96 s/√n
63.3 ± 1.96(8.4/√50)
63.3± 2.3287
60.971, 65.629
a) the 95% confidence interval for the true mean µ is 60.971, 65.629
b) Putting the values
x`± 1.96 s/√n
63.3 ± 1.96(8.4/√50)
63.3± 2.3287
The exact 95% confidence interval for the true mean µ is 60.971, 65.629
c) The prediction level tells that the drying time of the wall from 60.971 to 65.629 minutes must be in the range 95 % of the time.
And is given by
P (x`- ∝ s/√n<u <x`+ ∝ s/√n) = 0.95
Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time. a. What kind of a distribution does X have (name and values of all parameters)
Answer:
X has an hypergeometric distribution, with parameters:
Size of the population is N = 18.
Size of the sample is n = 6.
Number of successes n is k = 8.
Step-by-step explanation:
The people are chosen without replacement, which means that the hypergeometric distribution is used.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time.
This means that [tex]N = 18, k = 8[/tex]
We consider a success being a person taking the test for the first time, because X is the number among the six who are taking the test for the first time.
Suppose that six of these individuals are randomly assigned to a particular examiner.
This means that [tex]n = 6[/tex]
a. What kind of a distribution does X have (name and values of all parameters)
X has an hypergeometric distribution, with parameters:
Size of the population is N = 18.
Size of the sample is n = 6.
Number of successes n is k = 8.
Emily completely fills a container with 6 cubes. Each cube has an edge length of
3 centimeters. The container is in the shape of a right rectangular prism. What is the
volume of the container in cubic centimeters?
Of the pets in the pet show, 10/12 are cats. 6/10 of the cats are calico cats. What fraction of the cats are calico cats?
Answer:
6/10, simplified 3/5
Step-by-step explanation:
kinda tricky, but the fraction is stated right out.
Answer:
3/5
Step-by-step explanation:
9. On a math test with 52 questions, Kim solved 3/4 of the questions correctly. How many questions did Kim solve
incorrectly?
Pls hurry
Answer: Kim got 13 questions wrong.
Step-by-step explanation: First find how many questions were 75% of 52 questions since 3/4 is equal to 75%. Then subtract that amount (which is 39) from 52 and you get 13.
Does anyone have an answer or can help
Answer:
set them equal to each other and solve for x
Step-by-step explanation:
lame 《 Solve & Share A flash drive costs $24, including tax. A customer purchases 3 flash drives and pays the cashier $80. How much change should the cashier give back to the customer? Solve this problem any way you choose.
Answer:
$8
Step-by-step explanation:
1 flashdrive = $24
3 flash drives x $24 = $7
$80 - $72 = $8
GIVING BRAINLIEST TO BEST ANSWER
The triangle ΔKUB is located at K(−4, 3), U(−1, 6) and B(2, 0).
It is rotated 90° counterclockwise about the origin.
What are the coordinates of ΔK' U' B' ?
Answer:
the triangle would be located at 3783<%*
In a certain Algebra 2 class of 21 students, 6 of them play basketball and 10 of them
play baseball. There are 7 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
Answer:
2
Step-by-step explanation:
Answer:
2/21
Step-by-step explanation:
There are two kids who play baseball and basketball, and 21 students in total. Making the answer 2/21
Which word is an antonym of permit?
Answer:
What are the options? ban, forbid, prohibit, are some examples
Step-by-step explanation:
Answer:
prohibited
permit means to allow so you would need a word that means not allowed which is prohibited
Which equation describes the line with the slope 2/3 that passes through the given point on the graph?
Answer: y=2/3x-2
Step-by-step explanation:
Slope intercept form is: y=mx+b
m=slope
b= y-intercept
slope is 2/3
Please help me I do not understand I am in desperate need. 14 + 30 ÷ 6 − 2^3
Answer:
11
Step-by-step explanation:
think it about lol
a grilled chicken salad at a popular fast food restaurant contain 650 mg of sodium.which is 27% of recommended daily amount.what is the total recommended daily amount of sodium?
Answer:
286.34 mg
Step-by-step explanation:
Let the recommended amount is x.
ATQ,
A grilled chicken salad at a popular fast food restaurant contains 650 mg of sodium which is 27% of recommended daily amount.
Mathematically,
[tex]27\%\ of\ x=650 \\\\\dfrac{27}{100}x=650\\\\x=\dfrac{650\times 100}{227}\\\\x=286.34\ mg[/tex]
So, the recommended amount of sodium is equal to 286.34 mg.
Find the value of the ratio x ÷ y if the equation is 5x²-13xy+8y²
Answer:
x÷y=8/5 or 1÷1
Step-by-step explanation:
Please mark as brainliest
HELPPPPPPPPPPPPPPPPPPPP
Answer:
around 13.18
Step-by-step explanation:
the middle square is 2*2 = 4
the triangle then is 2^2 + 6^2 = 40 -> sqrt40 = 6.325
and then 2^2 + 2^2 = 8 -> sqrt8 = 2.828
4+6.325+2.828 = 13.18
Answer:
8
Step-by-step explanation:
because since it is a square all sides are the same length you can either add 2+2+2+2 or you can do 2x2=4x2 which equals 8
5. Which of the following rules could represent a transformation that mapped one shape onto another
to establish their congruence?
A) K(x,y) ---->(x-3,3y)
C) K(x, y) ---->(-y,x+2)
B) K(x, y)
--->(2x, y)
D) K(x, y) - - - - > (5x, 5y)
Answer:
i think it’s C
Step-by-step explanation:
Write each multiplecation setence as an aditon sentence
5X5=25
6X2=12
Step-by-step explanation:
5+5+5+5+5
6+6
hope this helps
consider the infinite geometric series 2(p-5) + 2(p-5)² + 2(p-5)³
3. Write in fraction form: 15.43
(5 Points)
15 43/100
O 154 3/100
O 1543/100
O 15 43/10
Answer:
1543/100 is the answer
I need help with these QUESTIONS ANYONE ?????!!!!!
-12 is less than or equal to 44 + x
Sketch a graph to math this: The Olympic skier waited at the top of the mountain for 2 minutes before heading down the ski slope. She went faster and faster for the first 5 minutes, and then she slowed to a stop. Finally, it took her 10 minutes to walk to her car.
Answer:
7 minutes
Step-by-step explanation:
The height of one cylinder is 8 cm, and the radius of its base is 5 cm. The height of a second cylinder is 24 cm, and the radius of its base is 5 cm. How many times the volume of the first cylinder is the volume of the second cylinder?
Answer:
Step-by-step explanation:
volume₁ = π5²·8 = 200π cm³
volume₂ = π5²·24 = 600π cm³
volume₂ = 3×volume₁
Answer:
It is 3, hopefully you got a good score! :D
Step-by-step explanation:
What is the solution to the equation x/3 +5=8
Answer:
x=9
Step-by-step explanation:
x/3+5=8
x/3=8-5
x/3=3
(x/3)*3=3*3
x=9
double check
9/3+5=8
3+5=8
8=8
Answer:
x=9
Step-by-step explanation:
[tex]\frac{x}{3}+5=8\\[/tex]
[tex]\frac{x}{3}=3[/tex] subtract 3 from each side
[tex]x=9[/tex] multiply each side by 3
thats it!! :D
20 is 16% of what number?
Answer:
80-
Step-by-step explanation:
20 percent (calculated percentage %) of what number equals 16? . well ofc as i said- its 80
A point on a wheel moves at 32π/9 radians per minute. How many seconds are required for the point to complete 7 revolutions?
Answer:
The number of seconds required to complete 7 revolutions is 236.28 s.
Step-by-step explanation:
Given;
speed of the point on the wheel, ω = 32π/9 rad/min
number of revolutions made by the point, θ = 7 rev
The time taken for the point to make 7 revolutions is calculated as follows;
1 rev = 2π rad
[tex]time (t) = \frac{\theta }{\omega} = \theta \ \times \frac{1}{\omega} \\\\t = (7 \ rev \ \times \frac{2 \pi \ rad}{1 \ rev} ) \ \times (\frac{1}{32 \pi/9 \ \frac{rad}{\min} } )\\\\t = (7 \times 2\pi \ \ rad) \times (\frac{9}{32 \pi }\frac{\min}{rad}) \\\\t = 14 \pi \ (rad) \ \times \ \frac{9}{32 \pi}\ (\frac{\min}{rad} )\\\\t = \frac{14 \times 9}{32} \ \min\\\\t = 3.938 \ \min\\\\t = 3.938 \ (\min) \times \frac{60 \ s}{1 \ \min} \\\\t = 236.28 \ s[/tex]
Therefor, the number of seconds required to complete 7 revolutions is 236.28 s.
If you need to round up to the nearest tenth for this question, you'd put 236.3
:))
The table below shows the different sizes of 15 pepperoni pizzas sold at a restaurant so far today.
Based on this table what is the probibilty that the next peperonni pizza prize sold will be 8 or more pieces
Answer:
2/3
Step-by-step explanation:
Will someone double check me? I got b
Answer:
yes you're right :)
Step-by-step explanation:
you have to use the pythogram therom for this
a² + b² = c²
20² + 10² = c²
400 + 100 = c²
c = √500
Yana needs at least $31.50 for art supplies. He earns $3.50 per day as a dog walker. Which graph represents the number of days Yana must work to earn enough money to buy the art supplies? A. 84456 B. 84455 C. 84454 D. 84453
Answer:
9 days
Step-by-step explanation:
31.50÷3.50 is 9 and 9×3.50 is 31.50
Kenneth is painting his kitchen and bathroom. He bought 5 gallons of paint to paint the two rooms. He uses 1/4 of that amount to paint the bathroom and the rest to paint the kitchen.
Answer:
He used 1.25 gallons for the bathroom, and he used 3.75 gallons for the kitchen.
Step-by-step explanation:
1/4=25%=.25
Multiply 5 by .25
5*.25=1.25
Subtract 1.25 from 5
5-1.25=3.75
1.25 gallons for bathroom
3.75 gallons for kitchen
Hopefully this was helpful.
PLEASE HELP mathematics
Answer:
21+10.5 which would equal 31.5
Step-by-step explanation:
Answer:
21+10.5 which would equal 31.5
Step-by-step explanation: