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.
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need help ASAP !! A line segment has endpoints(3,14) and (3,22) which of the following statements is true?
Answer:
the answer is b. the segment has a length of 8 units vertical.
Step-by-step explanation:
Alexis surveys a random sample of 80 students at his school and finds that 22 of them
usually walk to school. There are 1,760 students at the school. Predict the number of
students who usually walk to school.
Answer:
484 students
Step-by-step explanation:
This is simple probability. Assuming 22/80 students walk to school within a small population, and there are 1760 students at the school, there should be (22/80)*1760 students that walk to school in total. (This is just theoretical). This is 484 students.
The number of students who usually walk to school will be 484 students.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Alexis surveys a random sample of 80 students at his school and finds that 22 of them usually walk to school.
Then the number of students who usually walk to school will be
⇒ 22 / 80
⇒ 11 / 40
We know that the ratio will remain the same.
There are 1,760 students at the school.
Let x be the number of students who usually walk to school.
Then the number of students who usually walk to school will be
x / 1760 = 11 / 40
x = 484 students
Thus, the number of students who usually walk to school will be 484 students.
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How long will it take the skier to travel 360 meters? Explain how you figured it out.
a bus company operates in dubai has the following operation times.calculate the total number of hours that the bus company operates in one week.
Answer:
its usAlly 9-5
Step-by-step explanation:
in a class of students, the following data table summarizes how many students play an instrument or squirt. What is the probability that a student who plays this for also plays an instrument?
Answer:
Step-by-step explanation:
What's a squirt? Did you mean sport for the word for?
So there are 15 separate students in all who play a sport and an instrument. There are 4 more that play an instrument, but not a sport.
There are 8 that that do not play an instrument including 2 that don't do either.
So the total is 15 + 4 + 8 = 27
My best guess is that 15 out of 27
P(sport and instrument) = 15 /27 = 5/9 or 0.556
Evaluate each limit given that lim f(x) =1/3 and lim g(x)=2/3
Answer: 2,1 & 2
Step-by-step explanation:
[tex]\lim_{x \to c}[3g(x)][/tex] = 2, [tex]\lim_{x \to c}[f(x)+g(x)] = \frac{-1}{3}[/tex], [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ] = \frac{1}{2}[/tex]
What is Limit?"A limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value."
We have Limit functions
[tex]\lim_{x \to c} f(x)[/tex] [tex]= \frac{1}{3}[/tex]
[tex]\lim_{x \to c} g(x)[/tex] = [tex]\frac{2}{3}[/tex]
(i) [tex]\lim_{x \to c} [3g(x)] = 3 \lim_{x \to c} [g(x)][/tex]
= [tex]3[/tex] × [tex]\frac{2}{3}[/tex]
= 2
(ii) [tex]\lim_{x \to c}[f(x)+g(x)][/tex]
= [tex]\lim_{x \to c} f(x)+ \lim_{x \to c} g(x)[/tex]
= [tex]\frac{1}{3}-\frac{2}{3}[/tex]
= [tex]\frac{1-2}{3}[/tex]
= [tex]\frac{-1}{3}[/tex]
(iii) [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ][/tex]
= [tex]\frac{\lim_{x \to c} f(x)}{\lim_{x \to c} g(x)}[/tex]
= [tex]\frac{\frac{1}{3} }{\frac{2}{3} }[/tex]
= [tex]\frac{1}{2}[/tex]
∴ [tex]\lim_{x \to c}[3g(x)][/tex] = 2, [tex]\lim_{x \to c}[f(x)+g(x)][/tex] = [tex]\frac{-1}{3}[/tex] , [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ] = \frac{1}{2}[/tex]
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PLEASE HELP ME! IS THIS CORRECT?
Answer:
yes
Step-by-step explanation:
Mrs. Simpson is frosting circular sugar cookies. Each cookie is 6 cm in diameter. About how many square centimeters will she need to frost each cookie?
Answer:
9 pi
Step-by-step explanation:
Answer:
28.274 cm^2 (remember units are important)
Step-by-step explanation:
The answer is the area of the cookie. The area of the cookie (neglecting its thickness) is:
A = pi(r^2)
here the radius is 1/2 the diameter of 6 cm:
A = 3.14159 * 3^2 or A = 3.14159* 9 = 28.274 cm^2
a house purchased for 170828 is worth $73828 after 12 years. assuming that the house's value depreciated the same amount from year to year, what was it worth at the end of the year 4? Round to the nearest cent.
Answer:
After four years the house was worth $128,891.03
Step-by-step explanation:
170828(x)^12 = 73828
solve for x
x = 0.932 (House depreciates by 6.8% yearly)
plug in x and change into function and substitute 4 for 12 because it's 4 years
170828(0.932)^4
128891.0334
Answer:
Match the packaging type with the number of seedlings it contains.
gerbera daisy cell pack
gerbera daisy flat
standard flat
standard cell pack
Step-by-step explanation:
A landscaper records the heights, in feet, of 15 newly planted trees in a community garden, as shown.
3.2, 4.3, 3.5, 5.4, 3.7, 5.5, 6.2, 3.1, 6.8, 7.1, 4.8, 6.5, 4.9, 5.3, 5.9
Complete the histogram by selecting the frequencies for the heights of the newly planted trees in the community garden.
Answer:
Step-by-step explanation:
The histogram shows the distribution of the newly planted trees
How to plot the histogram?The dataset is given as:
3.2, 4.3, 3.5, 5.4, 3.7, 5.5, 6.2, 3.1, 6.8, 7.1, 4.8, 6.5, 4.9, 5.3, 5.9
Sort the data elements
3.1, 3.2, 3.5, 3.7, 4.3, 4.8, 4.9, 5.3, 5.4, 5.5, 5.9, 6.2, 6.5, 6.8, 7.1
Calculate the range
Range = Highest - Least
This gives
Range = 7.1 - 3.1
Range = 4
Divide by 4 to calculate the class width
Width = 4/4
Width = 1
So, the classes and the frequencies are:
Class Frequency
3.1 - 4.0 4
4.1 - 5.0 3
5.1 - 6.0 4
6.1 - 7.0 3
7.1 - 8.0 1
See attachment for the histogram
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A building has 7 office suites generating annual potential rent of $9,000 each. Vacancy = 8% and annual expenses are $25,000. Vending machines yield $3,000. What is the NOI?
Answer: use the link
Step-by-step explanation: sdghs/dt/776n.tvbusaa.;
Consider the function.
f(x)=2 1/2 - 3 1/3
What is the x-intercept of f-1(x)?
o (-3 1/3,0)
o (-3/10,0)
o (3/4,0)
o (2 1/2,0)
Answer:
Option 4
Step-by-step explanation:
Given function is,
[tex]f(x)=2\frac{1}{2}-3\frac{1}{3}x[/tex]
Steps to get the inverse of the given function,
Step 1,
Convert the function into equation,
[tex]y=2\frac{1}{2}-3\frac{1}{3}x[/tex]
Step 2,
Interchange the variables 'x' and 'y',
[tex]x=2\frac{1}{2}-3\frac{1}{3}y[/tex]
Step 3,
Solve the equation for the value of y,
[tex]x-2\frac{1}{2}=-3\frac{1}{3}y[/tex]
[tex]x-\frac{5}{2}=-\frac{10}{3}y[/tex]
[tex]-x+\frac{5}{2}=\frac{10}{3}y[/tex]
[tex]-3x+\frac{15}{2}=10y[/tex]
[tex]-\frac{3}{10}x+\frac{15}{20}=y[/tex]
[tex]y=-\frac{3}{10}x+\frac{3}{4}[/tex]
Step 4,
Convert the equation into inverse function,
[tex]f^{-1}x=-\frac{3}{10}x+\frac{3}{4}[/tex]
For x-intercepts,
Substitute y = 0,
[tex]0=-\frac{3}{10}x+\frac{3}{4}[/tex]
[tex]\frac{3}{10}x=\frac{3}{4}[/tex]
[tex]x=\frac{10}{4}[/tex]
[tex]x=\frac{5}{2}[/tex]
[tex]x=2\frac{1}{2}[/tex]
Therefore, x-intercept of the inverse function is [tex](2\frac{1}{2},0)[/tex].
Option 4 will be the answer.
Find the mode 9,10,15,17,15,14,37,45,42,13
answer:
15
step-by-step explanation:
9, 10, 15, 17, 15, 14, 37, 45, 42, 13
mode means the number that appears the mostin the set of numbers, 15 appears twice, which the others appears only oncePls help it’s for a grade in math pls help
Answer:
25,200
Step-by-step explanation:
First, find what 1% equals. Divide the total amount of people by 100. 105,000 divided by 100 = 1050. Multiply this by 24, because:
If 1% = 1050
To get 24% you need to multiply 1% by 24. Whatever you do to o ne side you have to do to the other.
1050 * 24 = 25,200
Therefore, the answer is 25,200 people
What is the volume of a cone with a radius of 8.7 inches and height of 14 inches? (Use 3.14
for N)
Answer:
1109.1cm³
Step-by-step explanation:
V
=
π
r
2
h
3
3.14 ×8.7² × 14/3
Please help me please is it 2 or 4
Answer:
its 4
Step-by-step explanation:
help me it’s more but i can’t post it
Answer:
( 2 x + 1 ) ( 3 x + 2)
Step-by-step explanation:
srry, i could only do the first one-
Most college-bound students take either the SAT(Scholastic Assessment Test) or the ACT (which originally stood for American college testing). Scores on both the ACT and the SAT are approximately normally distributed. ACT scores have a mean of about 21 with a standard deviation of about 5.SAT scores have a mean of about 508 with a standard deviation of about 110. Nicole takes the ACT and gets a score of 24. Luis takes the SAT. what score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?
Answer:
Luis would need to have a SAT score of 574.
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.
Nicole's z-score:
ACT scores have a mean of about 21 with a standard deviation of about 5, which means that [tex]\mu = 21, \sigma = 5[/tex]
Nicole gets a score of 24, which means that [tex]X = 24[/tex]. Her z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24 - 21}{5}[/tex]
[tex]Z = 0.6[/tex]
What score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?
Luis would have to get a score with a z-score of 0.6, that is, X when Z = 0.6.
SAT scores have a mean of about 508 with a standard deviation of about 110, which means that [tex]\mu = 508, \sigma = 110[/tex].
The score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.6 = \frac{X - 508}{110}[/tex]
[tex]X - 508 = 0.6*110[/tex]
[tex]X = 574[/tex]
Luis would need to have a SAT score of 574.
the amount of gas used by a household is shown in the table. what is the slope of the data from the table
Answer. i cant answer this without a pic of the slope
Step-by-step explanation:
In an aquarium, there are 6 large fish and 8 small fish. Half of the small fish are red.
One fish is selected at random. Find the probability that it is a small, red fish.
Write your answer as a fraction in simplest form.
Answer:
2/7
Step-by-step explanation:
There are 14 fish and 4 of them are small, red ones.
P(small red fish) = 4/14 = 2/7
URGENT NEED HELP CLICK TO SEE
Answer:
3:7
Step-by-step explanation:
15-8=7 green skateboards
3:7
A line passes through the point (2,-5) and is perpendicular to the line with the equation y=1/
5x+5 what’s the equation of the line
Answer:
y = –5x + 5
Step-by-step explanation:
A train travels 18 kilometers in 12 minutes. At this rate, how far does the train travel in 1 minute?
kilometer(s) per minute
Answer:
1.5
Step-by-step explanation:
poop I don't know what to do-
Me either ive been stuck on a question and no one will help me
Answer:
me three
Step-by-step explanation:
you guys are awesome
Which of the following graphs is the graph of a linear function?
Answer:
A is the answer
Step-by-step explanation:
What is 4× +20= factor form
Help ASAP will give brainly 9th grade math
Which BEST describes the system of equations graphed on a coordinate plane?
A) Consistent
B) Inconsistent
C) Consistent and Dependent
D) Consistent and Independent
Answer:
D) Consistent and Independent
Answer:
D.consistent and independent
please answer this as quick as possible.
Answer:
False
x=8-10=-2
Step-by-step explanation:
[tex]10 = x - 8 \\ ➡ \: x = 10 + 8 \\ ➡ \: x = 18[/tex]
[tex]\sf\red{The\:value\:of\:x\:is\:18.\:}[/tex]
[tex]\sf\pink{Hence,\:it\:is\:false.}[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Please help ill give u brainliest!!!
.........................................
Answer:
221mile per day
Step-by-step explanation:
Mean=total distance her car traveled/days
11477-10150=1327
1327/6=221.167≈221mi