Answer:
a. Assume that the population has a normal distribution.
b. The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.
Step-by-step explanation:
Question a:
We have to assume normality.
Question b:
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 - 0.9}{2} = 0.05[/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 - 0.05 = 0.95[/tex], so Z = 1.645.
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.
[tex]M = 1.645\frac{35}{\sqrt{29}} = 10.69[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 230 - 10.69 = 219.31 days.
The upper end of the interval is the sample mean added to M. So it is 230 + 10.69 = 240.69 days.
The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.
Nicholas has a salt shaker in the shape of a cylinder. It has a radius of 8 mm and a height of 30 mm. What is the lateral surface area of the shaker?
Answer:
1507.96
Step-by-step explanation:
The graph below shows which system of inequalities?
3 x f(−4)−3 x g(−2)=
Answer:
−12+6
Step-by-step explanation:
WHATS 20-11 ANSWER OR DAII
Answer:
9
Step-by-step explanation:
20-11=9
☁️ Answer ☁️
9
Take 11 away from 20
Have a nice day noona/hyung.
Write an expression equivalent to
b10/b5
in the form bm.
Answer: M equals 7. So it would be b^7. When you multiply exponents you add them. When you divided them you subtract
Step-by-step explanation:
The equivalent expression will be b⁵.
What is an expression?Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc.
Given an expression b¹⁰/b⁵,
We need to find an equivalent expression for the same,
So,
Using the identity,
mᵃ ÷ mᵇ = mᵃ ÷ mᵇ
= m⁽ᵃ⁻ᵇ⁾
Therefore,
b¹⁰/b⁵ = b⁽¹⁰⁻⁵⁾
= b⁵
Hence, the equivalent expression will be b⁵.
Learn more about expression click;
https://brainly.com/question/14083225
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A prism is filled with 59 cubes with 1 2 unit side lengths. What is the volume of the prism in cubic units?
Answer:
V = 2832 m3 only if that 1 2 is a 12 if that is not a 12 it is wrong
Step-by-step explanation:
Convert 2,36hrs to hrs, minutes and seconds
The answer is 3.93 hours. This is because in one hour there are 60 minutes so you would need to divide your number 236 by 60 and you should end up with 3.9333, which rounded to would just be 3.93 hours in total.
Hope that helps!
Which function has a domain where x=3 and a range where y=2 ?
Answer:
x times y is 6
This is the simplest one
Step-by-step explanation:
x=3 and y=2
Answer:
(3,4)
Step-by-step explanation:
so domain is the x value and range is the y value so to find the domain it is
(3,4)
Hope that helps :)
Answer this please I’ll give brainalist + points, please help!
Answer:
The answer is C because the largest mode is the longest set with the biggest numbers
Step-by-step explanation:
NEED ANSWER ASAP PLS WILL MARK BRAINLIEST
Answer:
the answer for this is option C 4x/x+5
Answer:
x + 5/ x - 3
Step-by-step explanation:
expand 4x²+16 to get:
4x(x+4)
then multiply by the reciprocal to cancel the 4x(x+4) leaving you with x + 5/ x - 3
what is vaule of y when x=4'5
Answer:
[tex]y = 2.096[/tex] or [tex]y = \frac{2\sqrt5+6}{5}}[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]
[tex]x = \frac{4}{5}[/tex]
Required
Find y
[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]
Substitute [tex]x = \frac{4}{5}[/tex]
[tex]y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5[/tex]
[tex]y = 5 + \sqrt{4/5} + 0.2 - 4[/tex]
Collect like terms
[tex]y = \sqrt{4/5} + 5 + 0.2 - 4[/tex]
[tex]y = \sqrt{\frac{4}{5}} + 1.2[/tex]
Split the surd
[tex]y = \frac{\sqrt4}{\sqrt5}} + 1.2[/tex]
[tex]y = \frac{2}{\sqrt5}} + 1.2[/tex]
Rationalize
[tex]y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2[/tex]
[tex]y = \frac{2\sqrt5}{5}} + 1.2[/tex]
Take LCM and add
[tex]y = \frac{2\sqrt5+1.2*5}{5}}[/tex]
[tex]y = \frac{2\sqrt5+6}{5}}[/tex]
or solve as:
[tex]y = \frac{2*2.24+6}{5}}[/tex]
[tex]y = \frac{10.48}{5}[/tex]
[tex]y = 2.096[/tex]
for a triangle with the lengths of its sides of 5,13 and 14, determine if it is a right angle
Answer:
it is
Step-by-step explanation:
If u want to know what students think is the best season of the school year from school 76, what is the best way sample the students?
Answer:
B, it should be
Step-by-step explanation:
because its not A, because its just 7th and 8th
its not C, cause thats JUST 5th grade
its not D, because its part of a class, not the entire school.
Mark me Brainlest
The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than minutes.
Answer:
The probability is the pvalue of [tex]Z = X - \mu[/tex], in which X is the number of minutes we want to find the probability of time being less of, and [tex]\mu[/tex] is the mean.
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.
Standard deviation of 1 minute.
This means that [tex]\sigma = 1[/tex]
Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than minutes.?
This is the pvalue of Z for X. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{X - \mu}{1}[/tex]
[tex]Z = X - \mu[/tex]
The probability is the pvalue of [tex]Z = X - \mu[/tex], in which X is the number of minutes we want to find the probability of time being less of, and [tex]\mu[/tex] is the mean.
Jeremy has 5 of a pound of rice. Shaila has to of a pound of rice.
Which statement best describes the total amount of rice that Jeremy and Shaila have?
Hi, you've asked an incomplete question. The full question reads;
Jeremy has 5/6 of a pound of rice. Sheila has 7/10 of a pound of rice. Which statement best describes the total amount of rice that Jeremy and Sheila have?
a. Together they have less than 1 pound of rice because each person has less than 1/2 of a pound of rice.
b. Together they have less than 1 pound of rice because each person has less than 1 pound of rice.
c. Together they have more than 1 pound of rice because each person has less than 1 pound of rice.
d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.
Answer:
d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.
Step-by-step explanation:
Indeed, we could simply find the solution by simply bearing in mind that half a unit is represented by 0.5 ([tex]\frac{1}{2}[/tex]).
Hence, since we are told Jeremy has 5/6 (0.83), we can add it up with that of Sheila's 7/10 (0.7), which leads us to the conclusion they both have more than 1 pound of rice (0.83+0.7= 1.53 pounds of rice).
PLEASE SAY A,B,C OR D OF THE RIGHT ANSWER ONLY PLEASE! no links or flies, x .
You cut a candy bar into 8 equal pieces. You gave 3/8 of it to your sister and 2/8 to your brother. Which equation represents the fraction of the candy bar you gave away?
3/8 – 2/8 = 1/0
3/8 + 2/8 = 5/8
3/8 – 2/8 = 1/8
3/8 + 2/8 = 5/16
Answer:
B
Step-by-step explanation:
3/8 + 2/8 = 5/8
Eddie wanted to know more about how the cost of fertilizer for his lawn-care business was changing. The cost of a bag of fertilizer just increased from $10 to $15. What is the percent increase of the price?
Help needed , I don’t understand
Hello!
This problem is about relating parallel and perpendicular lines with a given point.
What we need to know here is that parallel lines will have equal slopes, while perpendicular lines will have opposite and reciprocal slopes.
Using this information, let's look at the first part.
We are asked to find a parallel line to the line [tex]y=6x-6[/tex] that passes through the point [tex](4,-3)[/tex].
Since we know that parallel lines have the same slope and we are given a point, we can solve for the y-intercept after setting up and equation.
[tex]y=6x+b[/tex]
[tex]-3=6(4)+b[/tex]
[tex]b=-27[/tex]
So the line would be [tex]y=6x-27[/tex].
Let's look at the second part, where we are asked to find a perpendicular line that passes through the same point.
We know that perpendicular lines have an opposite reciprocal of a slope, and using that information, we can go through the same process and solve for the equation.
[tex]y=-\frac{1}{6}x+b[/tex]
[tex]-3=-\frac{1}{6}(4)+b[/tex]
[tex]b=-\frac{7}{3}[/tex]
So the line would be [tex]y=-\frac{1}{6}x-\frac{7}{3}[/tex].
Hope this helps!
Original price of a computer: $2,600.00
Tax: 6%
What is the sales tax for this computer?
Answer:
156 is the tax
Step-by-step explanation:
2600 x .06 = 156
A sample of a radioactive isotope had an initial mass of 640 mg in the year 2010 and decays exponentially over time. A measurement in the year 2014 found that the sample's mass had decayed to 440 mg. What would be the expected mass of the sample in the year 2024, to the nearest whole number?
Answer: 172
Step-by-step explanation:
Is this linear, exponential growth, exponential decay, or neither?
Answer:
Linear Exponential Decay.
Step-by-step explanation:
It is linear exponential decay,
it is decreasing by -7,
everytime x goes up 1, y goes down -7,
this line has a slope of -7/1.
Slope: -7x
y-intercept: (0,2)
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<g = 129°
alternate interior angles
Step-by-step explanation:
hope this helps! :)
G is 129°
Angles g and f are vertical angles.
the image is to show why :)
PLS HELP ITS DUE TODAY
1pt Sort the real-world objects into the category that correctly identifies the combination of shapes that would best model that object.
Sphere and cylinder
A case of soda in a box
Cube and sphere
Tennis balls in a tube
Doghouse with a pointed roof
Triangular prism and cube
Bowling ball in a box
Cylinder and rectangular prism
Step-by-step explanation:
sphere and cylinder=Tennis ball and tube
cube and sphere=Bowling ball in the box
Triangular prism and cube=doghouse with pointed roof
cylinder and rectangular prism=case of soda in box
Answer:
Sphere & Cylinder --> Tennis balls in a tube
Cube & Sphere --> Bowling ball in a box
Triangular Prism & Cube --> Doghouse with a pointed roof
Cylinder & Rectangular Prism --> Case of soda in a box
Sam is designing an open wooden box in the shape of a rectangular prism. The base of the box will be 6 feet by 8 feet. He has not yet decided what the height will be.
Answer:
10ft
Step-by-step explanation:
Let assume the volume of the box be 480ft^3
Required
height h
Volume of the box = length * width * height
Substitute
480 = 8 * 6 * h
480 = 48 * h
h = 480/48
h = 10ft
Hence the height of the box if the volume of 480ft^3 is 10ft
Need help!!!!!!!!!!!!!!!!!
ABCD is a rhombus. The measure of angle <1 = 58°
true
or
false
Answer:
False
Step-by-step explanation:
In a rhombus, the diagonals are always perpendicular.
Find the value of x.
answer ;
2x + 1 + 71 = 180 2x + 72 = 180 2x = 180 - 72 = 108x = 108/2( refer the attachment for division )
hence , x = 54find the slope and y-intercept
Answer:
m = -4/5
b = 4
Step-by-step explanation:
William throws a football at a rate of 60 feet per second. How long will it take the football to travel 120 feet?
A. 2 sec.
B. 3 sec.
C. 4 sec.
D. 6 sec.
Answer:
A
Step-by-step explanation:
Mr. Dimaggio is making his famous pasta sauce. He uses 8 cups of tomatoes to make 2 quarts of sauce. How many cups of tomatoes will he need to make 12 quarts of the sauce?
____________ = ______________
Please help me!!!!!!!!!
Answer:
48 cups of sauce
Step-by-step explanation:
You would do 6*8 because 6*2 is 12 and you need 12 quarts of sauce
Hope that helped