Answer:
The pvalue of Z when X = 104.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
What is the probability that, for an adult after a 12-hour fast, x is less than 104?
This is the pvalue of Z when X = 104.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{104 - \mu}{\sigma}[/tex]
[tex]\mu[/tex] and [tex]\sigma[/tex] are the values of the mean and of the standard deviation, respectively.
A satellite system consists of 4 components and can function if at least 2of them are working. If each component independently works with probability 0.8, what is the probability the system will function?
Answer:
X follows binomial distribution with n=4, p=0.6, q= 0.4. To make the system function adequately, at least 2 components should work well.
Step-by-step explanation:
Hope this helps
Answer:
0.9728
Step-by-step explanation:
We have 2 options for the system to fail - no components work, or only one works.
The probability that no components work is:
[tex]0.2^4 = 0.0016[/tex]
The probability that one SPECIFIC component works and the others failed is:
[tex]0.2^3 \cdot 0.8 = 0.0064[/tex]
And because there's 4 components, the chance that EXACTLY ONE works but the others don't is:
[tex]4 \cdot 0.0064 = 0.0256[/tex]
So we sum the probabilities:
[tex]P_{failure} = 0.0016 + 0.0256 = 0.0272\\P_{works} = 1 - P_{failure} = 0.9728[/tex]
What is the 20th term of the arithmetic sequence
3, 9, 15, 21, 27, ...?
Answer: 117
Step-by-step explanation:
first comment on first response!!! Thank you btwww!
What if both Sammy and Tanya each drove the same number of miles for another 14 days? How many miles would they have driven ALL TOGETHER?
Answer:
Take whatever amount of miles Sammy and Tanya drive and add them
Step-by-step explanation:
I don't have many numbers to work with so my equations are:
14 x (1 day of driving miles amount) = a
A x 2 = your answer
Brainliest for correct answer
Answer:
V =1884 in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi ( 10) ^2 * 6
V = pi ( 600) in^3
Using 3.14 for pi
V = 3.14 * 600 in ^3
V =1884 in ^3
Please help I’ll mark you as brainliest if correct!
Answer:
B
Step-by-step explanation:
brainliest?
Whisper is exercised twice a day.
The first time is for 30 minutes.
The second time is for 11 hours.
i. Write down the fraction of a day that Whisper is exercised.
Write your answer in its simplest form.
ii.
Write down the fraction of a day that she is not being exercised.
Answer:
I:23/48
ii 25/48
Step-by-step explanation:
30min=0.5hr
total time exercised: 11+0.5=11.5hr
Divided by total hours of a day:
11.5/24=115/240=23/48
ii:(48-23)/48
https://studio.code.org/projects/flappy/cYGc2S_X9-cgWtBUmJ5BJta5xku7iqyon0wzrKhC-Do
Answer:
so fun and amazing!
Step-by-step explanation:
This graph represents the height a baseball travels in t seconds.
How long is the height of the ball increasing?
0.5 seconds
1 second
2.4 seconds
30 seconds
Please helpppp meeee
Help,,,,,,,,,,,,,,,........
Determine whether each ordered pair is a solution of the system of linear equations.
3y = 6x + 12
2x - y = -4
a. (-3,2)
b. (0,4)
a. Is (-3,2) a solution?
0 Yes
Ο Νο
b. Is (0,4) a solution?
O No
0 Yes
Answer:
(0,4)
Step-by-step explanation:
The given equations are :
3y = 6x + 12
2x - y = -4
If (-3,2) be the solution of the above equations,
3(2) = 6(-3) + 12
6 = -18+12
6≠ -6
2x - y = -4
2(2) -(-3) =-4
4+7 = -4
11 ≠ -4
No, (-3,2) is not the solution.
Similarly, put (0,4) in the abve equations,
3(4) = 6(0) + 12
12 = 12
and
2(0) - 4 = -4
-4 = -4
Hence, (0,4) is a solution of the given equations.
Round 329,167 to the nearest hundred
Answer:
329,200
Step-by-step explanation:
Answer:
329,200
Step-by-step explanation:
What is (14x^2– 27x+9) / (7x-3)?
A. 7x-3
B. 2x-3
C. -211x+9
D. 2x-33
Answer:
B. 2x - 3
Step-by-step explanation:
[tex] \rm \frac{ {14x}^{2} - 27x + 9}{7x - 3} [/tex]
[tex] \rm = \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}} [/tex]
[tex] \boxed{ \rm \bold{= 2x - 3}}[/tex]
Answer:
[tex]\tt{}2x - 3[/tex]
Step-by-step explanation:
[tex] \tt{} \frac{(14 {x}^{2} - 27x + 9) }{(7x - 3)} [/tex]
[tex] \tt{} \frac{14 {x}^{2} - 6x - 21x + 9 }{7x - 3} [/tex]
[tex]\tt{} \frac{2x \times (7x - 3) - 3(7x - 3)}{7x - 3 } [/tex]
[tex]\tt{}2x - 3[/tex]
Can anyone tell me what the answer please
What you're looking at in this image are two alternate exterior angles.
Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.
There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.
So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:
5x + 20 = 3x + 60
Subtract 20 from both sides:
5x + 20 - 20 = 3x + 60 - 20
5x = 3x + 40
Subtract 3x from both sides:
5x - 3x = 3x - 3x + 40
2x = 40
x = 20
If you have any questions on how I got to the answer, just ask!
- breezyツ
Week 5 Test Taking skills, Page 2
Name
3
Rodrigo bought a sheet of shark stickers. He used 8 of the 32 stickers to decorate his science project about
sharks.
Shark Stickers
DO
How many shark stickers did Rodrigo use on his science project?
A
24
B
18
с
20
D
30
It’s number 3
Answer:
20
Step-by-step explanation:
5/8 of 32
5/8×32=20
remember of means multiply
HOPE THIS HELP YOU HAVE A NICE DAY OR NIGHT
The Lazy River has a current of 2 miles per hour. A motorboat can travel 15 miles
down the river in the same amount of time it takes to travel 9 miles up the river.
What is the speed of the boat in still water? Please show your work and use table to
relate time, speed, distance.
Answer:
8mph
Step-by-step explanation:
I just answered the question
A $45 pair of shoes is on sale for 20% off. How much money is saved?
Answer:
$9
Step-by-step explanation:
2 1/5 + 6 4/5 pls help
Answer:
2 1/5 + 6 4/5
= 2/5 + 24/5
= 26/5
= 5.2
Answer:
[tex]8\frac{5}{10}[/tex]
Step-by-step explanation:
[tex]2 + 6 = 8\\\frac{1}{5} + \frac{4}{5} = \frac{5}{10}[/tex]
Let me know if this helps!
g Radio and television stations often air controversial issues during broadcast time and ask listeners and viewers to indicate their agreement or disagreement with a given stand on the issue. A poll is conducted by asking those listeners and viewers who agree to call a certain 900 telephone number and those listeners and viewers who disagree to call a second 900 telephone number. All respondents pay a fee for their calls. Does this polling technique result in a random sample
Answer:
NO, it does not.
Step-by-step explanation:
From the information provided, we know that the surveying method for the polling depends on the no. of calls got on the two sorts of 900 phone numbers.
This surveying strategy doesn't address a random sample in light of the fact that the viewers who see the show can be restricted. Additionally, among the viewers of the show, the reactions depend on viewers who intentionally approach to offer or air their opinion. Therefore, the acquired sample doesn't address a random sample and specifically, we can posit that the sample occurs to be a voluntary sample.
blank plus 1/2 equals to 2/3
Answer:
1/6 + 1/2 = 2/3
Step-by-step explanation:
Find the area of the sector.
Answer:
D. 158.4 km²
Step-by-step explanation:
Area of sector = θ/360 * πr²
Where,
θ = 150°
r = 11 km
Substitute
Area = 150/360 * π * 11²
Area = 158.38863 ≈ 158.4 km² (nearest tenth)
PLEASE HELP !!!!!
What is the value of the missing angle?
Answer:
B
Step-by-step explanation:
180 - 100 = 80
80 = 30 = 110
180 - 110 = 70
Answer:
B
Step-by-step explanation:
100-30=70° Remeber this is a right triangle
IF YOU ANSWER ALL THESE QUESTIONS I WIL LGIVE YOU BRAINIEST AMD 40 POINTS COME UP WITH PROBLEMS THANKS
Answer:
WHY YOU ARE ALWAYS SAY THAT CAN YOU WHOLE QUESTION..
Select the correct answer.
The figure PQRSTU represents the shape of the parking lot at a shopping mall. What is the area of the parking lot?
A.
834 square feet
B.
918 square feet
C.
984 square feet
D.
1,068 square feet
Reset
Answer:
Is there an image? I cant figure it out without the image
Step-by-step explanation:
help me please I will mark 5 stars please it is urgent
Answer:
a) 3sec
b) highest point of 50
c) at 0 by 8 sec
500 people are asked if they drink coffee.
9
10 say Yes.
20% of the people who say Yes drink at least three cups each day.
(b)
What fraction of the 500 people drink at least three cups of coffee each
day?
Give your answer in its simplest form.
Answer:
Step-by-step explanation:
2/10
The mixed number 2 5/6 is equivalent to a fraction with a
denominator of 6.
What is the missing numerator in the equivalent
fraction?
Answer:
6 x 2 = 12 then add 5, answer is 17
Suppose y varies directly with x and inversely with z. If y = 14 when x = 7 and z = 3, what is x when y = 3 and z = 8? Use the step-by-step process you learned to solve this problem.
Step 1: Set up the correct type of variation equation.
y =
✔ kx/z
Step 2: Determine the constant of variation.
k =
Answer:
The constant of variation k is 6 and the value of x is 4.
Step-by-step explanation:
What is constant of variation?
The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.
What is direct variation?
A direct variation is a proportionality relationship in which two quantities follow a direct relationship.
What is inverse variation?
Inverse variation states when one variable increases then the other variable decreases.
Given,
y=14 when x=7 and z=3
The variation equation is,
y=kx/z
Inputting the values,
14=(k*7)/3
14*3=7*k
42=7k
k=6
When y=3, z=8 we will find x.
y=kx/z
3=6*x/8
3*8=6*x
x=24/6
x=4
Hence, the value is 4.
To know more about constant of variation, direct variation, inverse variation here
https://brainly.com/question/11733777
#SPJ2
Raymond kept track of the number of hours that he spent practicing the piano each week for several weeks. He spent 2, 4, 8, 6, and 5 hours. What is the range of the data set? B. 5 hours O A. 2 hours O O O D. 6 hours C. 8 hours
A marketing research company desires to know the mean consumption of milk per week among people over age 45. They believe that the milk consumption has a mean of 4.2 liters, and want to construct a 98% confidence interval with a maximum error of 0.08 liters. Assuming a standard deviation of 0.6 liters, what is the minimum number of people over age 45 they must include in their sample
Answer:
The minimum number of people over age 45 they must include in their sample is 305.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation of 0.6 liters
This means that [tex]\sigma = 0.6[/tex]
What is the minimum number of people over age 45 they must include in their sample?
This is n for which M = 0.08. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.08 = 2.327\frac{0.6}{\sqrt{n}}[/tex]
[tex]0.08\sqrt{n} = 2.327*0.6[/tex]
[tex]\sqrt{n} = \frac{2.327*0.6}{0.08}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327*0.6}{0.08})^2[/tex]
[tex]n = 304.6[/tex]
Rounding up:
The minimum number of people over age 45 they must include in their sample is 305.