Answer:
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of $2,275 and a standard deviation of $290.
This means that [tex]\mu = 2275, \sigma = 290[/tex]
Sample of 65:
This means that [tex]n = 65, s = \frac{290}{\sqrt{65}}[/tex]
Finding the mean to be at least $2,095 per month
This is 1 subtracted by the p-value of Z when X = 2095. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}[/tex]
[tex]Z = -5[/tex]
[tex]Z = -5[/tex] has a p-value of 0.
1 - 0 = 1
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Learn with an example
Isaac earns $16 for each hour of babysitting. How many hours in all will it take Isaac to
earn a total of $32?
Answer:
It would take 2 hours for Isaac to earn $32
Step-by-step explanation:
16*2=32
Use formulas to find area
Answer:
120.08
Step-by-step explanation:
15.8 x 7.6
-> 120.08 [tex]m^2\\[/tex]
Katy put $3000 into his bank account. If the account pays 6% interest compounded continuously, when will it be worth $6000? Round to 3 decimal places.
Answer:
11.55 years
Step-by-step explanation:
Given data
Principal= $3000
Rate= 6%
Final Amount= $6000
expression for the time is given as
t = ln(A/P) / r
Substitute
t= ln(6000/3000)/0.06
t= ln(2)/0.06
t= 0.693/0.06
t= 11.55 years
Hence the time is 11.55 years
Can someone please help?
Answer:
it's the top right box
Step-by-step explanation:
start from the first box and count how many units was added
The base of the sandbox is shaped like a parallelogram. He parallelogram base has an area of 9 square feet and the sand box gas a volume of 13.5 cubic feet. What is the height of the sandbox?
Answer:
1.5 feet
Step-by-step explanation:
V = base area x height
divide the two members by the base area
height = V/ base area
height = 13.5 / 9 = 1.5 feet
160% of what number 56?
Answer:
160% of 35 is 56.
Step-by-step explanation:
[tex]\frac{56}{y} :\frac{160}{100}[/tex]
y · 160 = 56 · 100
160y = 5600
160y ÷ 160 = 5600 ÷ 160
y = 35
If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters. True False
Answer:
True
Step-by-step explanation:
The Answer is 75.36 cm
2 x (pi)3.14 = 6.28
6.28 x (r)3 = 18.84
18.84 x (h)4 = 75.36
The statement, "If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters." is true.
What is cylinder?"A cylinder is a three-dimensional geometrical structure which consists of two circular bases connected with a curved surface."
Formula to calculate the area of the lateral surface of a cylinder:For a cylinder with radius r and height h,
the curved / lateral surface area is,
A = 2 × π × r × h
Given: r = 3 cm, h = 4 cm
Using the formula for area of lateral surface of a cylinder:
⇒ A = 2 × π × 3 × 4
⇒ A = 24 × π
⇒ A = 24 × 3.14
⇒ A = 75.36 sq.cm.
Therefore, given statement is true.
Learn more about lateral surface area of cylinder here:
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I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade
Answer:
pretty sure the answer is electrons so D
Step-by-step explanation:
Electrons are particles that surround the nucleus of an atom like a cloud
Find the area of each figure. Round to the nearest tenth. Use 3.14 or 22/7
a. 18.8
b.9.4
c. 113
d. 28.3
Answer:
d. 28.3
Step-by-step explanation:
Given
Radius ( r) = 3 m
Area of the circle
= π r²
= 3.14 * 3* 3
= 28.26
= 28.3 ft²
find the difference between 0.1 kg and 75g
Answer:
25 g
Step-by-step explanation:
0.1 kg can be written as 100 grams
& 75 g
while 1 kg is 1000 grams
so difference:-
(100- 75 ) grams
= 25 g
The difference between 0.1 kg and 75 g is 25 grams. To find the difference between 0.1 kg and 75g, you need to make sure both quantities have the same unit.
Since 1 kg is equal to 1000 g, you can convert 0.1 kg to grams:
0.1 kg = 0.1 * 1000 g = 100 g
Now, the two quantities are in the same unit:
0.1 kg - 75 g = 100 g - 75 g = 25 g
So, the difference between 0.1 kg and 75 g is 25 grams.
To know more about difference:
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Use systems of linear equations solve x+2y=4
Must include;
Step to solve problem
Answer: y=2-2x
Step-by-step explanation:
The Unit Circle
What is the period for the graph of y = cos(∅)? (Sketch a graph to help determine the answer)
a. 180°
b. 90°
c. 360°
d. 270°
Please select the best answer from the choices provided
Answer:
C. 360°
Step-by-step explanation:
I calculated it logically
Answer:
Answer is C) 360°
Step-by-step explanation:
Two parallel lines are cut by a transversal. What is the measure of <1?
A 80
В. 180
C. 100
D. 90
Answer:
C - 100
Step-by-step explanation:
9514 1404 393
Answer:
C. 100°
Step-by-step explanation:
Consecutive (same-side) exterior angles are supplementary.
∠1 = 180° -∠7 = 180° -80°
∠1 = 100°
i need assistance please
Planes A and B intersect. Which describes the intersection of plane A and line m? Oline k B m Olinen À point X O point W X 3 k Y Z
The intersection of plane A and line m can be describes as line m .
What is reflectional symmetry?Let's a plane. Consider a design or shape on that plane. Now consider an axis.
If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, therrefore that shape is called to have a reflectional symmetry.
Given that Planes A and B intersect.
We can see the two walls as planes in geometry.
A plane can be thought of as a wall or a floor of a room also a flat surface that has no thickness.
When two planes intersect, their intersection is a line.
Learn more about symmetry here:
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The triangles below are similar. Find the length and round to the nearest tenth if necessary.
Answer:
x=48
Step-by-step explanation:
You start with the values of 4 and 16. Figure out how many times 4 goes into 16, which is 4. (4*4=16)
Now, since 4 is multiplied by itself to reach the value of 16, 12 will also be multiplied by 4 to give you the value of x.
Please answer for branliest
No links please 15 Points
Answer:
C
Step-by-step explanation:
What is the distance between (2, 5) and (2, -7)?
Question 1 options:
2
5
12
14
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest
Answer:
4ft, 7 inches
Step-by-step explanation:
4 ft (48 inches), 7 inches
Can somebody recommend me some horror, psychological, yandere, and/or thriller anime?
Anything besides these would be appreciated:
1. Angels of Death
2. Shiki
3. Re:Zero
4. Corpse Party
5. Magical Girl Site
6. Happy Sugar Life
7. SCHOOL-LIVE!
8. Talentless Nana
9. Higurashi
10. Wonder Egg Priority
11. Shadows House
12. Blood C
13. To Your Eternity
14. Puella Magi Madoka Magica
15. Another
16. The Lost Village
17. Serial Experiments Lain
18. Chaos;Head
Answer:
the future diary
Step-by-step explanation:
I watched Future Diary on Hulu, its a really good anime, its more of a yandere type of anime, hope you enjoy it!
what is the answer to 3(x-2)+15=-3(x-3)
i will give brainliest
Answer:
x = 0
Step-by-step explanation:
3(x - 2) + 15= -3(x - 3)
3x - 6 + 15 = -3x + 9
3x + 9 = -3x + 9
3x + 3x = 9 - 9
6x = 0
x = 0
struggling with homework!!
Answer:
40
Step-by-step explanation:
if 20% were Caesar and 20 divided by 5 is 4, then every four salads sold is five percent.
Simplify the expression:
9f2 - 10 - 1 + 2/2 + -772
Answer:
4f^2-11
Step-by-step explanation:
A circle has a diameter of 10 centimeters.
What is the best approximation of its area?
Use 3.14 to approximate for π.
15.7 cm²
31.4 cm²
78.5 cm²
314 cm²
Answer:
78.5 (please put brainliest)
Step-by-step explanation:
r = diameter / 2 = 5
area = π * r^2 = 25 * 3.14 = 78.5
Answer:
78.5 m^2
Step-by-step explanation:
Evaluate the following expression if x= 2.14
3.35x + 25 - 2x
Answer:
The final answer is 27.889 (Feel free to round it)
Step-by-step explanation:
3.35 x 2.14 = 7.169
7.169 + 25 = 32.169
2 x 2.14 = 4.28
32.169 - 4.28 = 27.889
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Eight eagle stamps and two raccoon stamps cost $2.80. Three eagle stamps and four raccoon stamps cost $2.35. Find the cost of each kind of stamp
Show work please
Answer:
Cost of each eagle stamp = $0.25
Cost of each racoon stamp = $0.4
Step-by-step explanation:
Given:
Cost of 8 eagle stamp and 2 racoon stamp = $2.80
Cost of 3 eagle stamp and 4 racoon stamp = $2.35
Find:
Cost of each stamp
Computation:
Assume;
Cost of each eagle stamp = e
Cost of each racoon stamp = r
So,
8e + 2r = 2.80........... Eq 1
3e + 4r = 2.35 ........... Eq 2
Eq 1 x 2
16e + 4r = 5.6 .........Eq3
Eq 3 - Eq 2
13e = 3.25
e = 0.25
Cost of each eagle stamp = $0.25
8e + 2r = 2.80
8(0.25) + 2r = 2.80
2 + 2r = 2.80
r = 0.4
Cost of each racoon stamp = $0.4
Which equation in rectangular form describes the parametric equations x=2-3 cos t and y=1+4 sin t?
Answer:
The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].
Step-by-step explanation:
We proceed to use the following trigonometric identity to derive an expression in rectangular form:
[tex]\cos^{2} t + \sin^{2} t = 1[/tex] (1)
Where:
[tex]\cos t = \frac{2-x}{3}[/tex] and [tex]\sin t = \frac{y-1}{4}[/tex]
Then, we expand the expression as follows:
[tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex] (2)
The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].
Plz help ASAP plz help
Answer:
no solution for the answer
what is 2+2 4+4 8+8 i need math help
Answer:
2+2 is 4 4+4 is 8 8+8 is 16
Step-by-step explanation:
if you need them added up here: 4+8 =12 12+16 = 28