You are expected to use a z-score table to find how many standard deviations correspond to having 10% outside the bounds. It is like having 68% within 1σ. The table interpolates.
I'm sorry I looked everywhere and I still cannot find how to calculate with the data provided. I'm new to stats so any help is appreciated, if there is any more information let me know and I could solve it.
In a normal distribution 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]
It 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, which is the percentile of X.10% are less than 60.8 inches tall, which means that when [tex]X = 60.8[/tex], Z has a p-value of 0.1, so Z = -1.28, then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{60.8 - \mu}{\sigma}[/tex]
[tex]60.8 - \mu = -1.28\sigma[/tex]
[tex]\mu = 60.8 + 1.28\sigma[/tex]
10% are more than 67.6 inches tall, hence, due to the symmetry of the normal distribution, when X = 67.6, Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{67.6 - \mu}{\sigma}[/tex]
[tex]67.6 - \mu = 1.28\sigma[/tex]
[tex]\mu = 67.6 - 1.28\sigma[/tex]
Then, equaling both equations:
[tex]60.8 + 1.28\sigma = 67.6 - 1.28\sigma[/tex]
[tex]2.56\sigma = 6.8[/tex]
[tex]\sigma = \frac{6.8}{2.56}[/tex]
[tex]\sigma = 2.66[/tex]
[tex]\mu = 67.6 - 1.28\sigma = 67.6 - 1.28(2.66) = 64.2[/tex]
The mean is of 64.2 inches, while the standard deviation is of 2.66 inches.
By the Empirical Rule, 99.7% of the measures are within 3 standard deviations of the mean.
64.2 - 2(2.66) = 58.88
64.2 + 2(2.66) = 69.52
By the Empirical Rule, 99.7% of American women aged 20-29 years have heights between 58.88 and 69.52 inches.
A similar problem is given at https://brainly.com/question/24663213
Write a polynomial to represent the larger rectangle and the smaller rectangle.
Answer:
See answers below.
Step-by-step explanation:
Large Rectangle: length x width = (x + 3)(x - 4) =
x² - 4x + 3x - 12
x² - x - 12
Smaller Rectangle: length x width = (x)(3) = 3x
Shaded Region: shaded area = lg. rectangle minus small rectangle
A = (x² - x - 12) - 3x
A = x² - 4x - 12
Solve for x, if shaded reion's area is 48 square units:
48 = x² - 4x - 12
x² - 4x - 12 -48 = 0
x² - 4x - 60 = 0
(x - 10)(x + 6) = 0
x - 10 = 0 or x + 6 = 0
x = 10 or x = -6
But x represents a length, so x cannot be -6.
x = 10
A box contains 30 marbles, of which 8 are
black, 10 are green, and 12 are yellow. If two
marbles are drawn at random, what is the
probability that both the marbles will NOT be
green?
Answer:
4/9
Step-by-step explanation:
'ng' = not green
P(ng,ng) = 2/3 x 2/3 = 4/9
A cube with side of 6cm or a rectangular box of 7cm by 6cm by 4cm . find the volume
Answer:
Volume of cube = 216cm^3
Volume of box = 168cm^3
Step-by-step explanation:
Cube:
6 x 6 = 36
36 x 6 = 216
Box:
7 x 6 = 42
42 x 4 = 168
Answer:
216 cm^3, 168 cm^3
Step-by-step explanation:
Cube
Volume of a cube is the side * side * side.
Side = 6 || 6 * 6 * 6 = 216 cm^3
Rectangular Box
Volume of box is product of height, depth, and width.
Sizes are, 7, 6, 4 || 7 * 6 * 4 = 168 cm^3
Are the 1.5% and 1.5 the same?
EXPLAIN why or why not.
(PLS HELP ME OUT I AM BEGGING U THIS IS DUE TOMORROW)
Answer:
1.5 % is same as 1.50
explanation:
because 1.5 means that the equipment used to measure the number could not measure .It's equal, 1.50 is the same thing just with an added zero.
In a sole proprietorship,______________ receive all of the profits. A banks B. owners C. partners D. investors Please select the best answer from the choices provided O:A O:B О:С O:D
Answer:
B. owners
Step-by-step explanation:
Sole proprietorship can be defined as a type of business that is typically owned by an individual or one person and as such is solely responsible for its debts.
In a sole proprietorship, owners receive all of the profits because they own the business and do not share with any partner.
Basically, a sole proprietorship business is a type of business that is owned by a single person and as such their profits are taxed once as personal income tax.
Answer:
B
Step-by-step explanation:
I got it right on edge
Solve these multi step equations. Show your work. Justify each of your steps. 3x+4+6x=12-41+6x
Answer:
x=11
Step-by-step explanation:
Combine like terms:
3x +4 +6x =12- 41+ 6x
9x +4 =12 -41 + 6x
Subtract the numbers:
9x+ 4= 12- 41+ 6x
9x + 4= -29 +6x
Rearrange terms:
9x+4=-29+6x
9x+4=6x-29
x=11
Which function has a greater rate of change?
Answer:y-2x+5
Step-by-step explanation: I think
Select ALL equations for which the solution is 8.
Help in doing my brother work!!
Answer:
a,b,d
Step-by-step explanation:
A. 8+9=17
B. 8+3=11
C. 8-9=1
HELP...ASAP...GIVEING 50 POINTS FOR THIS HELP PLLLLLLZZZZZZZZz
Answer:
HI JORDEN!!!
Step-by-step explanation:
You drank 50 L of water on Tuesday but only 30 L of water on Wednesday. What is the percent of change
Answer:
40% decrease
50=100
30/50=x/100
30=60% of 50
40% decrease of 50 is 30
Step-by-step explanation:
please mark as brainiest
please give 5 stars
thank you
PLEASE HELP FAST(solve the pre-algebra question)
Answer:
Flag = 46
Shamrock = 46
Hat = 27
Accordion = 198
Step-by-step explanation:
To keep things simple, I'll denote the flag with f, the shamrock with s, the hat with h and the accordion with a.
The second equation tells us that f/s is 1. When you divide something by something and get 1, that means they're equal (eg, 2÷2=1, 3÷3=1 etc). That means f=s.
The second equation tells us f+s+s=138, but since f=s, this basically means 3f=138. Dividing both sides by three, we find out f=46 and by extension, s=46.
The third equation tells us s+h+h=100. We know s so we can write this as 46+2h=100. Take 46 form both sides to get 2h=54. Divide both sides by 2, we find out h=27.
The fourth equation tells us a=4f+14. Sub in our value for f and this is a=(4x46)+14. Solve this to get a=184+14, a=198.
Which city did Miss Hill move to with her new husband?
Group of answer choices
Georgia
New York
Chicago
Orlando
An animal park had lions tigers and zebras.20% of the animals are lions and half the animals are zebras. If there are 120 animals at the park how many lions are there
Answer:
Divide 120 by 100 (Because 120 is 100% of the animals). You get 1.2. Multiply 20% by 1.2 and get 24.
Step-by-step explanation:
If helpful, please mark as brainliest! =)
Triangle ABC is shown below with its given side length measurements.
Which lists the angles of the triangle in order from largest angle to smallest
angle? *
? Any one know this one
Answer:
(3, infinity)
Step-by-step explanation:
range is talking about the y axis and every number the graph touches on the y axis. the first number is the minimum number and the second number is the max number. this graph's lowest point is 3, so the answer is (3, something). the max is never/infinity and that's how you get (3, infinity).
A spinner has 3 red spaces, 5 white spaces, and 1 black space. If the spinner is spun once, what is the theoretical probability of the spinner NOT stopping on red?
Answer:
D
Step-by-step explanation:
D
I need help how do I solve this?
The answer is just -infinite
10x-3y+2x written in fewer terms
Answer:
12x-3y
Step-by-step explanation:
combine like terms: the 10x and the 2x can be combined making it 12x and then you keep the -3y making it 12x-3y
Answer:
12x - 3y
Step-by-step explanation:
All you have to do for this question is combine like terms. It isn't wanting you to solve for anything, so it's pretty fast to do. Since the 2 and 10 both have x values next to them, you can combine them. They are both positive, so you can simply add them together. This gives you 12x. Because the -3 and 12 have different values next to them, you cannot combine them. So you are left with 12x - 3y. This is your answer.
I hope this makes sense and is easy to understand. Please let me know if you need any more help. Have a great day and good luck!!
Use the graph to answer the question.
Which equation describes the circle?
O (x-4)2 + (y + 1)2 = = 25
O (x – 4)2 + (y + 1)2 = 5
O (x + 4)2 + (y- – 1)2 = 25
O (x + 4)2 + (y – 1)2 = 5
Answer:
Its A.
Step-by-step explanation:
Edge 2021
This question is based on the equation of circle. Therefore, the equation of circle is (x - 4)² + (y + 7)² = 81 describes a circle with center (4, -7) and radius 9.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
here, we have,
Given:
A circle with center (4, -7) and radius 9.
We need to determined the equation describes a circle with center (4, -7) and radius 9.
According to the question,
As we know that, the equation of a circle in standard form is
⇒ (x - h)² + (y - k)² = r²
Where (h, k) are the coordinates of the center and r is the radius.
Here, it is given that, (h, k) = (4, - 7) and r = 9.
Therefore, by putting the given values.
We get,
⇒ (x - 4)² + (y - (- 7))² = 9², that is
⇒ (x - 4)² + (y + 7)² = 81 ← equation of circle
Therefore, the equation of circle is (x - 4)² + (y + 7)² = 81 describes a circle with center (4, -7) and radius 9.
For more details, circle prefer this link:
brainly.com/question/8714903
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Can someone help me please I put the picture
Answer:
the answer is A or F (both are the same answer which is 40)
ill mark brainlist plss help
Answer:
256 ft
Step-by-step explanation:
51+51= 102
77+77= 154
154+102=256
Answer:
P=2(l+w)=2·(51+77)=256ft
Step-by-step explanation:
The answer will be 256ft
Find the Selling Price
CP = ₹600 Overhead charges = ₹45 Loss = ₹54
Someone Please Help Me With This
which value is greater for the people who go to the gym in the daytime than for the people who go in the evening?
Answer:
It's maximum age I took the test and that's what I put it says it was right.
Step-by-step explanation:
3(6) + 4(2) - 5
What is the answer
Answer:
21
Step-by-step explanation:
3(6) +4(2) - 5
18 + 8 - 5
26 - 5
= 21
An equation is given.
Solve the equation for r.
In ΔRST, the measure of ∠T=90°, the measure of ∠R=6°, and RS = 3.6 feet. Find the length of ST to the nearest tenth of a foot.
Answer:
0.4
Step-by-step explanation:
Answer:
45.1
Step-by-step explanation:
Evaluate -5x-6y when x=-4 y=4
Answer:
-4
Step-by-step explanation:
1. Savannah has 5 dogs and she feeds each of them 6 oz of dog food every day. How many
pounds of dog food do they eat each day?
Answer:
0.375 lb
Step-by-step explanation:
For this one all you need to do is convert 6 oz to pounds and to do this
For example to convert an ounce measurement to a pound measurement, use a simple formula. Since one ounce is equal to 1/16 of a pound, the formula for the conversion is:
pounds = ounces ÷ 16
1. Take measurement
2. Divided ounces by 5
3. Round the result to desired decimal places.
And don't just put this answer because I am not very sure.
1.875 pounds of dog food can be eaten by 5 dogs per day.
Pound and ounce based problem:What information do we have?
Number of dogs = 5
Each dog eats per day = 6 oz
Total dog food eaten per day = Number of dogs × Each dog eats per day
Total dog food eaten per day = 5 × 6
Total dog food eaten per day = 30 oz
1 pound = 16 oz
So,
Total dog food eaten per day = 30oz / 16oz
Total dog food eaten per day = 1.875 pound
Find out more information about 'Pound'.
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14 x ^3 y ^5 z ^2 - 98 x^2 yz ^2 + 28 x^2 y^3. Show your work
Stan says that the least common multiple of 6 and 8