Answer:
B. -1/5
Step-by-step explanation:
To find the slope we place (0-1) over (4- (-1))
Which of the following choices can be considered binomial random variables?
Choose all answers that apply:
A
A container holds 100 pens, half of which are red. Select an SRS of 5 pens and let R= the
number of red pens obtained.
в)
A container holds 1000 pens, half of which are red. Select an SRS of 5 pens and let S = the
number of red pens obtained.
A container holds 20 pens, half of which are red. Select an SRS of 5 pens and let Q = the
number of red pens obtained.
Answer: A and B
Step-by-step explanation:
Q isn’t a binomial since the pens are being selected without replacement and the sample size is more than 10% of the population size, so the trails are not independent.
A binomial random variable is such that can take either of two possibilities at the same time.
Samples R and S can be considered as binomial random variables
For a random variable to be considered a binomial random variable, the population must be at least ten times the sample size.
So, we have the following highlights
Container A
[tex]n =100[/tex]
[tex]x = 5[/tex]
Divide n by x
[tex]\frac nx = \frac{100}{5}[/tex]
[tex]\frac nx = 20[/tex]
This means that the population is 20 times the sample size.
Hence, R is a binomial random variable.
Container B
[tex]n =1000[/tex]
[tex]x = 5[/tex]
Divide n by x
[tex]\frac nx = \frac{1000}{5}[/tex]
[tex]\frac nx = 200[/tex]
This means that the population is 200 times the sample size.
Hence, S is a binomial random variable.
Container C
[tex]n =20[/tex]
[tex]x = 5[/tex]
Divide n by x
[tex]\frac nx = \frac{20}{5}[/tex]
[tex]\frac nx = 4[/tex]
This means that the population is 4 times the sample size.
Hence, Q is not a binomial random variable.
Read more about random variables at:
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plz help 5th grade work
Answer:
81 , 24 AND 108
Step-by-step explanation:
An auto assemply worker requires 4 electrical fuses for each vehicle. The supplier of the fuses has informed the plant manager that 5% of all the fuses they produce are defective. Assume that the assembly worker selects the 4 fuses for any vehicle at random and independently of each other. If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses
Answer:
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
Step-by-step explanation:
For each fuse, there are only two possible outcomes. Either they are defective, or they are not. The probability of a fuse being defective is independent of any other fuse. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
Probability of a vehicle having all defective fuses:
5% of fuses are defective, which means that [tex]p = 0.05[/tex]
A vehicle has 4 fuses, which means that [tex]n = 4[/tex].
This probability is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.05)^{4}.(0.95)^{0} = 0.00000625[/tex]
If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses?
For each vehicle, 0.00000625 probability of having all defective fuses. For 2:
[tex](0.00000625)^2 = 3.9 \times 10^{-11}[/tex]
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
I need the answer pls answer
What is the equation of the graph below? y=1/2sinx y=1/2cosx y=1/2sin2x
9514 1404 393
Answer:
(d) y = 1/2sin(2x)
Step-by-step explanation:
The sin(x) function will have a maximum value of 1 and a period of 360°. The function plotted is a sine function with a maximum value of 1/2 and a period of 180°.
For a function g(x) = a·f(b·x), the vertical scale factor is 'a', and the horizontal compression factor is 'b'. Our sine function has a vertical scale factor of 1/2, and a horizontal compression of 360/180 = 2, so the transformed function is ...
y = 1/2sin(2x)
15 31/40 to the nearest whole number
Answer:
16
Step-by-step explanation:
Because the number is closer to 16, it can be rounded off to that. 15 31/40 is the same as 15.78. When the decimal is over .50 it is rounded up to the next whole number, but when it is under .50 it si rounded down to the nearest whole number. ex. since this one is over the .50, it's rounded up, but if it were 15.36 then it would be rounded down to 15. hope this helps :D
Identify the constant of proportionality in the graph.
A) 60
B) 120
C) 180
D) 240
Answer:
A) 60
Step-by-step explanation:
Find two points that intersect with the grid.
(0,0) and (1, 60)
Subtract the second y value from the first y value. Do the same to the X-values.
Write this as a fraction with the y values over the x-values.
60-0= 60
-------------
1 - 0 = 1
60/1 = 60
find the degree measure of angle HRP?
1/6 + 2/3 + 36 (help plz)
help with 6grade math
Which statements are true? Select all that apply.
Answer:
A,B, D
Step-by-step explanation: I just took that test and i got it right
A circle has a diameter of 8.2 m. What is the area of a sector with a 125 degree
arc? Round your answer to the nearest tenth. *
Answer:24.2 m
Step-by-step explanation: yea u gotta use the metric system
One radius of a circle is the same length as any other radius of the same
circle.
A. True
B. False
A. True
In a circle, all radii have the same length. The radius is the distance from the center of the circle to any point on its circumference. Since the center is equidistant from all points on the circumference, all radii will have the same length. Therefore, the statement is true.
i will privetely give 50 point to anyone who solves this correctly
Ms. White invests
$
2000
in a savings plan. The savings account pays an annual interest rate of
5.75
%
on the amount she puts in at the end of each year. How much will be in her savings plan at the end of
10
years?
Answer:
$3498.11 at the end of 10 years.
Step-by-step explanation:
2000 + 0.0575*2000*10 = 3150 dollars at the end of 10 years.
what is 1+1-(3x3)-(1x9)
solve:
[tex] {x}^{logy } = {y}^{logx} [/tex]
Answer:You can use a negative space \! to remove (or reduce) this to your liking. It would be best to define a command for this, for the sake of consistency
Step-by-step explanation:
which is greater? no links pls. 0.04 or -0.39? and -0.6 or 0.5?
Answer:
0.04 and 0.5
Step-by-step explanation:
Answer:
1. 0.04
2. 0.5
Step-by-step explanation:
The positive choice will be greater.
Select the correct answer.
Wayne is holding a can of juice that has a diameter of 4 inches. There is a price tag stuck to the side of the can. Wayne places the can on its with
side with the sticker on the bottom and rolls it across a table top at a constant speed. The can reaches Wayne's friend at the other end of the
table in 5 seconds and completes 4 full rotations,
Which function could represent the price tag's height relative to the table top, h(t), after it has been rolling for e seconds?
OA n(t) = 2008(832) +2
O B. h(t) =-2005(522) +2
OC h(t) = –2sin(572) +2
OD. h(t) = 4sin (22) +4
Answer:
A.
Step-by-step explanation:
Trial and error on the Desmos graphing calculator
Answer:
The correct answer is B. h(t)=-2cos(5pi/2t)+2
Step-by-step explanation:
Took the test
Jill says that 1 2/3 equals 3:5 is Jill correct
Answer:
Not true. Actually, 1 2/3 equals 5/3.
Answer: No
Step-by-step explanation:
If we were to change 1 2/3 into an improper fraction, it would be 5/3. This is expressed as 5:3, not 3:5. These two ratios are not the same. Therefore, Jill is not correct.
Hope this helped :)
I need help please urgent
Answer:
its ok don't worry
Step-by-step explanation:
its a mental answer
PLEASE HELP!
THE QUESTION IS IN THE PHOTO!
For What value of x is ABC~DEF?
Answer:
x=12
Step-by-step explanation:
Since the triangles are congruent, you can use either B or D to solve for x.
7x+10=94
7x=94-10
7x=84
x=84÷7
x=12
A community organization wants to determine area support for the construction of a new skate park in the center of town. The organization decides to survey 500 people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park. What is the best way to randomly choose these 500 people? O Select the first 500 taxpayers listed at the town hall. O Survey the first 500 people who visit the existing skate park. O Assign each taxpayer in town a number and then randomly select 500 of these numbers. O Choose 100 taxpayers from 5 different age groups in town.
PLEASE HELP!!!!
Answer: I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'
Step-by-step explanation: Happy Pride Month!!
Each girl on a cheerleading squad bought a bear. The leader paid for their cheerleading outfits for each of them. She spent $175. Write and solve an equation to find how many cheerleading outfits, c, the leader bought. Cheerleading outfit cost- $12.50
Answer:
175 ÷ 12.50 = 14
Step-by-step explanation:
Work out the mean for the data set below: 5, 3, 3, 6, 2, 5, 2, 4, 7 Give your answer as a fraction in its simplest form.
Answer:
4 1/9
Step-by-step explanation:
Add all of them together. you get 37. Then divide them by how many numbers. You get 4.111 repeating. I then just turned that into a fraction and got 4 1/9
While in flight, some hummingbirds can flap their wings about 500 times in 10 seconds
Is this a true or false?
Answer:
50 times in 1 second
Step-by-step explanation:
I don't know what your specific question, but I'm guessing you wanted divide to see how many times they flap their wings in 1 second. :)
3b.) Nora is buying a used car valued at $22,730. It is expected to
depreciate an average of 9.5% each year. Predict the value of Nora's car in
6 years.
Help ??
Answer:
$12487.86
Step-by-step explanation:
Given data
Cost of car= $22,730
Rate of decrease= 9.5%
Time= 6 years
We can predict the value by using the exponential decay function'
A= P(1-r)^t
substitute
A= 22730(1-0.095)^6
A= 22730(0.905)^6
A= 22730*0.5494
A=$12487.86
Hence the value will be $12487.86
Select the correct answer from the drop-down menu.
A box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the tabl
Size
Shirt Color
Large Medium Total
Red
42
48
90
Blue
35
40
75
Total
77
88
165
From the data given in the table, we can infer that
Answer:
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = P( blue shirt)
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt ) ≠ P( red shirt)
Explanation:
P( red | large shirt ) = 42/77 = 0.5454 : P( large shirt)= 77/165 = 0.467
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = 35/77 = 0.4545 : P( blue shirt)= 75/165 = 0.4545
P( Blue | large shirt ) = P( blue shirt)
P( Shirt is medium and blue ) = 40/77 = 0.2424 : P( medium shirt)= 88/165 = 0.5333
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt) = 42/90 = 0.4667 : P( red shirt)= 90/165 = 0.5454
P( large shirt | red shirt ) ≠ P( red shirt)
P( Blue shirt | large shirt ) = P( blue shirt). Therefore, option B is the correct answer.
What is data table?A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis.
P( red | large shirt ) = 42/77 = 0.5454 : P( large shirt)= 77/165 = 0.467
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = 35/77 = 0.4545 : P( blue shirt)= 75/165 = 0.4545
P( Blue | large shirt ) = P( blue shirt)
P( Shirt is medium and blue ) = 40/77 = 0.2424 : P( medium shirt)= 88/165 = 0.5333
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt) = 42/90 = 0.4667 : P( red shirt)= 90/165 = 0.5454
P( large shirt | red shirt ) ≠ P( red shirt)
Therefore, option B is the correct answer.
Learn more about the data table here:
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"Your question is incomplete, probably the complete question/missing part is:"
A box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the table. (See attached image for choices) box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the table Size Shirt Color Large Medium Total Red 42 48 90 Blue Total 35 40 75 88 165 77 From the data given in the table, we can infer that
P(red shirt | large shirt) =P(large shirt)
P(blue shirt | large shirt) = P(blue shirt)
P(shirt is medium and blue) = P(medium shirt)
P(large shirt red shirt) = P(red shirt)'
Suppose that a population parameter is 0.7 and many samples are taken from the population. If the size of each sample is 100, what is the standard error of the distribution of sample proportions?
Answer: .046
Step-by-step explanation: I just had this question
The statement : "for a sample size of n = 26 and a population parameter of p = 0.6, a normal curve can be used to approximate the sampling distribution" is true.
What is normal curve?Normal curve is used to represent the class shapes in the statistical probability. Mathematically, we can describe the normal curve as -
[tex]$f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}[/tex]
where -
f(x) = probability density function
σ = standard deviation
μ = mean
Given is that for a sample size of n = 26 and a population parameter of
p = 0.6, a normal curve can be used to approximate the sampling
distribution.
It is asked to identify whether the given statement regarding the normal curve is true or false. The given statement is - "for a sample size of n = 26 and a population parameter of p = 0.6, a normal curve can be used to approximate the sampling distribution". The given statement is true.
Therefore, the statement : "for a sample size of n = 26 and a population parameter of p = 0.6, a normal curve can be used to approximate the sampling distribution" is true.
To solve more questions on normal curves, visit the link below-
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Find the range of the data. 45,76,98,21,52,39
how would you move the green shape exactly over the gray shape using the fewest moves? check only necessary moves
Answer:
C and B
Step-by-step explanation: