Answer:
Therefore, a sample that is required to estimate the mean usage of water must be at least 249.
Step-by-step explanation:
We are given that they would like the estimate to have a maximum error of 0.13 gallons.
A previous study found that for an average family the variance is 2.56 gallons and the mean is 16.3 gallons per day.
As we know that; Margin of error formula is given by;
Margin of error = [tex]Z_(_\frac{\alpha}{2}_) \times \text{Standard of error}[/tex]
where, [tex]\alpha[/tex] = level of significance = 1 - 0.80 = 20% and [tex](\frac{\alpha}{2} )[/tex] = 10%
Standard of error = [tex]\frac{\sigma}{\sqrt{n} }[/tex]
where, [tex]\sigma[/tex] = standard deviation = [tex]\sqrt{2.56}[/tex] = 1.6
n = sample size
Also, the critical value of z at 10% significance level is given in the z table as 1.282.
SO, Margin of error = [tex]Z_(_\frac{\alpha}{2}_) \times \frac{\sigma}{\sqrt{n} }[/tex]
0.13 = [tex]1.282 \times \frac{1.6}{\sqrt{n} }[/tex]
[tex]\sqrt{n}[/tex] = [tex]\frac{1.282 \times 1.6}{0.13}[/tex]
n = [tex]15.8^{2}[/tex]
n = 248.95 ≈ 249.
Therefore, a sample that is required to estimate the mean usage of water must be at least 249.
Riley is saving up to buy a new television. She needs a total of $1,397.68. Riley has saved $200.08 already and earns $79.84 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
Answer:
14
Step-by-step explanation:
i uses a calculator and kept adding up
The graph shows the relationship between the number of concert tickets
purchased and the total cost for the tickets. Write an equation for this
relationship.
Answer:
Step-by-step explanation:
y = 20x
The initial freshman class at a college is 10% smaller 1
than last year's class. But then during the first week of classes, 20 more
students enroll. If there were 950 students in last year's freshman class,
how many students are enrolled in this year's freshman class after the first
week of classes? *
Answer:
875 students are enrolled in this year's freshman class after the first week of classes.
Step-by-step explanation:
Last year, there were 950 students.
This year, the class is 10% smaller. So it's number of students is 100 - 10 = 90% of last year.
0.9*950 = 855
Initially, this year class had 855 students.
During the first week, 20 enrolled.
855 + 20 = 875.
So
875 students are enrolled in this year's freshman class after the first week of classes.
Based on data from the 1980 Census the average age of a Na'alehu County, Hawaii resident is 39 years with a standard deviation of 22. 6. The data is normally distributed. If 100 residents are surveyed, Determine the Inter Quartile range (IQR) for the average age of the residents of this County. Please explain how you derived your answer:
Answer:
yes
Step-by-step explanation:
what is the volume of a cone with a diameter of 30 feet and a hight of 60 feet
Answer:
4500[tex]\pi[/tex] [tex]ft^{3}[/tex]or 4712.39[tex]ft^{3}[/tex]
What we need to know: The formula for the volume of a cone is: [tex]V=\pi r^{2} \frac{h}{3}[/tex]
So we are solving for V
Step-by-step explanation:
1) Radius is half of diameter r=30/2 thus, your radius is 15
2) you then have all your variables so you can start plugging values into your equation:
r=15 h=60
[tex]V=\pi 15^{2} \frac{60}{3} \\V=\pi (225)*(20)\\V=\pi(4500) \\V= 4500\pi[/tex]
This would be your exact answer but if you are solving for a rounded answer it would be
V~4712.39[tex]ft^{3}[/tex]
Point A is at (-1, -9) and point M is at (0.5, -2.5).
Point M is the midpoint of point and point B.
What are the coordinates of point B?
Answer:2,4
Step-by-step explanation:
Pllssss I need help
Answer:
see below
Step-by-step explanation:
The sides of the triangle that are given in relation to x are the Adjacent side (10) and the Hypotenuse (15). The mnemonic SOH CAH TOA tells you the trig function that uses sides A and H is the Cosine function.
Cos = Adjacent/Hypotenuse
cos(x) = 10/15
what is the quotinent
Answer:
[tex]\dfrac{3(y-5)}{2}[/tex]
Step-by-step explanation:
[tex]\dfrac{2y^2-6y-20}{4y+12}\div \dfrac{y^2+5y+6}{3y^2+18y+27}=\\\\\dfrac{2(y-5)(y+2)}{4(y+3)}\cdot \dfrac{3(y+3)^2}{(y+3)(y+2)}=\\\\\dfrac{6(y-5)(y+2)(y+3)(y+3)}{4(y+2)(y+3)(y+3)}=\\\\\dfrac{3(y-5)}{2}[/tex]
Hope this helps!
Solve 5(x − 8) = 50.
Answer:
x = 18
Step-by-step explanation:
5(x - 8) = 50
Divide both sides by 5.
x - 8 = 10
Add 8 to both sides.
x = 18
Answer:
x=18
Step-by-step explanation:
5(x − 8) = 50.
5x-40=50
+40 +40
5x/5=90/5
x=18
What is the quotient of the division below?
3387-
45
46
48
49
Answer:
3199
Step-by-step explanation:
3387 – 45 – 46 – 48 – 49 = 3199
Answer:
It is 48
Step-by-step explanation:
trust me I did the test.
what is the mean absolute deviation of 10, 5, 7, 10, 19, 32, 25?
Answer:
8.4897959183673
Step-by-step explanation:
90 is 50% of what number? 180 120 45
So the right answer is 180
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
50%=0.5
Y x 0.5 = 90
We undo the equation and divide instead of multiply
90 / 0.5 = 180
Double check by changing Y with 180
180 x 0.5 = 90
180 is the answer
Hope this helps
Step-by-step explanation:
What is equalivant to 5+4z+13
Answer:
[tex] = 4z + 18[/tex]
Step-by-step explanation:
[tex]5 + 4z + 13 \\ = 4z + 18[/tex]
A Forrest has 800 pine trees but a disease is introduce that kills 1/4 of the pine trees in the forest every year.
Write a function that gives the number of pine trees remaining P(t) in the Forest t years after the disease is introduced
Answer:
If there are 800 trees and 1/4 of them die to this disease.
Step-by-step explanation:
800=400x2=800/2=400 so 100/400 die so 200/800 die so in 4 years time the whole population will die.
Answer:
P(t)=800(3/4)^t
Step-by-step explanation:
find an equation equivalent to r = 10 sin in rectangular coordinates
Answer:
x²+(y-5)²=25
Step-by-step explanation:
To convert polar into rectagular
[tex]->r=\sqrt{x^2+y^2} =>r^2=x^2+y^2\\[/tex]
also, y=rsin θ => sin θ=y/r
r= 10sinθ
r=[tex]\frac{10y}{r}[/tex] => r²=10y
therefore, x²+y²-10y=0
By completing the squares on y²-10y gives
x²+(y-5)²=25
which is the equation of the circle.
This is the Cartesian equation of a circle with center ( 0, 5)
and radius, r=5
3. If a ladder is x feet long, how high up a wall can it safely reach?
Answer:
xsin∅
Step-by-step explanation:
If the ladder is x foot long, and it can safely make a maximum angle ∅ with the floor, then, the maximum height it can reach will be xsin∅
Answer:
Following the 4 to 1 ratio ladder rule
Step-by-step explanation:
set the base 1 foot out from the wall for every 4 feet it reaches up.
Excuse me can you help me to resolve this (×+5) (4x-3)=0
Answer: x = 3/4 x = -5
Step-by-step explanation:
x+5=0
x=-5
4x-3=0
Add three to both sides
4x = 3
x=3/4
Based on the two articles you have read, how might Google's mission to give
everyone access to as much information as possible make it easier to violate
a person's Fourth Amendment rights?
A. A person's personal information would be almost impossible to
find
B. People would be able to find information faster
C. The government might have access to a person's private
information making it easier to conduct warrantless searches and
seizures
O D. Business would be able to place ads relevant to what person typed
in a search engine,
The article shows that it may make it easier for the government to have access to a person's private information and to conduct unwarranted searches and seizures.
What are a person's Fourth Amendment rights?A person's Fourth Amendment rights is related to the right of an individual to be protected from unwarranted searches and seizures by the government.
According to the articles, Goo_gle's mission is to give
everyone access to as much information as possible.
This however would make it easier for a person's personal belongings or private information to be a target of government officials.
Therefore, Goo_gle's mission may make it easier for the government to have access to a person's private information making it easier to conduct unwarranted searches and seizures.
Learn more about Fourth Amendment rights at: https://brainly.com/question/17104412
The coach of a college basketball team records the resting pulse rates of the team's players. A confidence interval for the mean resting pulse rate of all collegians based on these data is of little use because __________.
A) the sample size is small, so the margin of error will be large.
B) the members of the basketball team can't be considered a random sample from the entire collegiate population.
C) many of the students on the team may refuse to respond.
D) the coach has sampled the entire population so there is no need for inference.
Answer:
B) the members of the basketball team can't be considered a random sample from the entire collegiate population.
Step-by-step explanation:
The coach is trying to estimate a parameter of a population (the mean resting pulse rates of alla collegians) from a sample statistic (the mean resting pulse of the basketball team's players).
The confidence interval for the parameter is of little use as the sample of team players is not representative of the population of collegians. The sample can not be considered random. Then, the estimation of the parameter will be biased.
What is the length of line segment KJ?
2 \sqrt{3} units
3 \sqrt{2} units
3 \sqrt{3} units
3 \sqrt{5} units
Please consider the attached file.
We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.
We will use Pythagoras theorem to solve for KJ as:
[tex]KJ^2=KM^2+MJ^2[/tex]
[tex]KJ^2=6^2+3^2[/tex]
[tex]KJ^2=36+9[/tex]
[tex]KJ^2=45[/tex]
Now we will take positive square root on both sides:
[tex]\sqrt{KJ^2}=\sqrt{45}[/tex]
[tex]KJ=\sqrt{9\cdot 5}[/tex]
[tex]KJ=3\sqrt{5}[/tex]
Therefore, the length of line segment KJ is [tex]3\sqrt{5}[/tex] and option D is the correct choice.
Answer:
3√5Step-by-step explanation:
what is the length of line segment kJ
what symbol makes this comparison true? 200 mL O 2 L <>
Answer:
For the first case converting ml to L we got:
[tex] 200mL *\frac{1L}{1000 mL}= 0.2 L[/tex]
And we see that 0.2 L is lower than 2 L so then:
[tex] 200 mL < 2L[/tex]
And in the other way if we convert L to mL we got:
[tex] 2L *\frac{1000mL}{1L} = 2000 mL[/tex]
And we see that [/tex] 200mL < 2000 mL[/tex]
So then the answer would be <
Step-by-step explanation:
For this case we can solve this problem converting ml to L or converting L to ml.
For the first case converting ml to L we got:
[tex] 200mL *\frac{1L}{1000 mL}= 0.2 L[/tex]
And we see that 0.2 L is lower than 2 L so then:
[tex] 200 mL < 2L[/tex]
And in the other way if we convert L to mL we got:
[tex] 2L *\frac{1000mL}{1L} = 2000 mL[/tex]
And we see that [/tex] 200mL < 2000 mL[/tex]
So then the answer would be <
Which expression can be used to find the surface area of the following rectangular prism?
Choose 1 answer:
A
10+10+6+6
(Choice B)
B
10+6
(Choice C)
C
15+15+10+10+6
(Choice D)
D
15+15+10+10+6+6
Answer:
The answer is D.
Step-by-step explanation:
Given that the formula of surface area of rectangular prism is S.A = 2(length×width) + 2(length×height) + 2(width×height). Then substitute the values into the formula :
Let length = 5,
Let width = 3,
Let height = 2,
[tex]s.a = 2(5 \times 3) + 2(5 \times 2) + 2(3 \times 2)[/tex]
[tex]s.a = 2(15) + 2(10) + 2(6)[/tex]
[tex]s.a = 15 + 15 + 10 + 10 + 6 + 6[/tex]
Answer:
The answer is D
Step-by-step explanation:
6 more than a number is 36.
Answer:
30
Step-by-step explanation:
30+6= 36
36-6=30
Lets use n to represent the number.
6 more than a number: n + 6
is 36: = 36
Put the equation together:
n + 6 = 36
Solve for n.
n + 6 = 36
~Subtract 6 to both sides
n + 6 - 6 = 36 - 6
~Simplify
n = 30
Best of Luck!
what is the correlation coefficient of the linear fit of the data shown below, to the nearest hundreth
Answer:
theres no picture.
Step-by-step explanation:
Answer:
C) -0.89 i think
Step-by-step explanation:
The Tennessean, an online newspaper located in Nashville, Tennessee, conducts a daily poll to obtain reader opinions on a variety of current issues. In a recent poll, 762 readers responded to the following question:
"If a constitutional amendment to ban a state income tax is placed on the ballot in Tennessee, would you want it to pass?" Possible responses were Yes, No, or Not Sure. Determine:
a. What was the sample size for this poll?
b. Are the data categorical or quantitative?
c. Would it make more sense to use averages or percentages as a summary of the data for this question?
d. Of the respondents, 67% said Yes, they would want it to pass. How many individuals provided this response?
Answer:
(a) The sample size for this poll is, n = 762.
(b) The data is categorical.
(c) It would make more sense to use percentages as a summary of the data for this question.
(d) Approximately 511 individuals provided the response "Yes".
Step-by-step explanation:
(a)
It is provided that in a recent poll, 762 readers responded to the following question:
"If a constitutional amendment to ban a state income tax is placed on the ballot in Tennessee, would you want it to pass?"
The possible responses were Yes, No, or Not Sure.
So, the sample size for this poll is, n = 762.
(b)
The outcomes of the poll are:
1: Yes
2: No
3: Not Sure
The data is categorical.
Categorical data can take labels such as, Gender (M/F), indicators (0/1) and so on.
(c)
Averages can be computed only for quantitative variable.
So, it would make more sense to use percentages as a summary of the data for this question.
That is, the percentage of people saying Yes, No and Not sure.
(d)
The percentage of people saying Yes is, 67%.
Compute the number of people saying Yes as follows:
[tex]n(\text{Yes})=P(\text{Yes})\times n[/tex]
[tex]=0.67\times 762\\=510.54\\\approx 511[/tex]
Thus, approximately 511 individuals provided the response "Yes".
Give brianliest and 15 points
Answer:
The correct answer is C
Step-by-step explanation:
X+U= [-1, -1] on the top and [0, -23/4] on the bottom
Therefore A-(X+U) gives you [5/3, 7] on the top and [4, 5] on the bottom
Hope this helps! :)
Answer:
Danke Shun!!!!!
Step-by-step explanation:
Oh mein Gott, danke für die kostenlosen Punkte, Kumpel !!
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
B
Step-by-step explanation:
The -1/3 stretched it and reflect it to x axis, then the 4 moved it to the left
Please help with number four I give brainliest thank you!
Answer:
Step-by-step explanation:
A
Answer:
D.
Step-by-step explanation:
A statistical question can answered by collecting data and having various answers. The other options refer to a specific person/thing and give only one piece of data while the last option refers to many teachers and many pieces of data.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
PLS HELP!! AND HURRY!! Find an expression for the nth term ( tn ) in each of the following sequences:
1, 4, 7, ...
If the pattern continues, so that each term is separated by a distance of 3, then the sequence is given by the recursive rule
[tex]\begin{cases}a_1=1\\a_n=a_{n-1}+3&\text{for }n>1\end{cases}[/tex]
From this definition, we can write [tex]a_n[/tex] in terms of [tex]a_1[/tex]:
[tex]a_2=a_1+3[/tex]
[tex]a_3=a_2+3=(a_1+3)+3=a_1+2\cdot3[/tex]
[tex]a_4=a_3+3=(a_1+2\cdot3)+3=a_1+3\cdot3[/tex]
[tex]a_5=a_4+3=(a_1+3\cdot3)+3=a_1+4\cdot3[/tex]
and so on, up to
[tex]a_n=a_1+(n-1)\cdot3[/tex]
(notice how the subscript on a and coefficient on 3 add up to n)
or
[tex]a_n=1+3(n-1)=3n-2[/tex]
Answer:
n=1/2 of n x 8 divided by 4 -2
Step-by-step explanation:
Mr.McNeil bought two magazines for 7.45 and one book for 14.95. If the sales tax is 6% , what is the total cost of Mr.McNeil’s purchase?
Answer:
total cost = $22.4 + $1.12 = $23.52
Step-by-step explanation:
Mr McNeil bought 2 magazines for $7.45 and 1 book for $14.95 . The sales tax is 6% . The total cost of Mr McNeil can be calculated as follows.
He bought 2 magazines for $7.45 .This means the sum of the prize of the 2 magazine he bought is $7.45 and the prize for the single book he bought is $14.95. The total cost of the items he bought excluding the sales tax is the sum of the whole items he bought.
total cost excluding sales tax = $7.45 + 14.95 = $22.4
The sales tax is 5% which can be calculated as follows
5/100 × 22.4 = 112/100 = $1.12
The total cost of Mr McNeil purchase including his sales tax is
total cost = $22.4 + $1.12 = $23.52