In this problem, first we find the sample mean and the standard deviation, and then, we use the normal distribution. Then, we get that:
a) The mean is of 199.69 and the standard deviation is of 25.02.
b) 0.2148 = 21.48% probability that, on a randomly selected day, the early morning trading volume will be less than 180 million shares.
c) 0.1131 = 11.31% probability that, on a randomly selected day, the early morning trading volume will exceed 230 million shares.
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.Item a:
The mean is the sum of all observations divided by the number of observations, thus:
[tex]\mu = \frac{214 + 163 + 265 + 194 + 180 + 202 + 198 + 212 + 201 + 174 + 171 + 211 + 211}{13} = 199.69[/tex]
The standard deviation is given by the square root of the sum of the difference squared between each observation and the mean, divided by the number of values. Thus:
[tex]\sigma = \sqrt{\frac{(214-199.69)^2 + (163-199.69)^2 + (265-199.69)^2 + (194-199.69)^2 + ... + (211-199.69)^2}{13}} = 25.02[/tex]
The mean is of 199.69 and the standard deviation is of 25.02.
Item b:
This probability is the p-value of Z when X = 180, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{180 - 199.69}{25.02}[/tex]
[tex]Z = -0.79[/tex]
[tex]Z = -0.79[/tex] has a p-value of 0.2148.
0.2148 = 21.48% probability that, on a randomly selected day, the early morning trading volume will be less than 180 million shares.
Item c:
This probability is 1 subtracted by the p-value of Z when X = 230, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{230 - 199.69}{25.02}[/tex]
[tex]Z = 1.21[/tex]
[tex]Z = 1.21[/tex] has a p-value of 0.8869.
1 - 0.8869 = 0.1131
0.1131 = 11.31% probability that, on a randomly selected day, the early morning trading volume will exceed 230 million shares.
A similar problem is given at https://brainly.com/question/24663213
Two bicyclist are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart? I WILL MARK AS BRANLIEST IF YOU GOT THIS CORRECT!
Answer:
5 hours 20 minutes
Step-by-step explanation:
Distance traveled to be 20 miles apart
180 - 20 = 160 miles
Combined speed
14 + 16 = 30 mph
time = distance / speed
t = 160/30
t = 5 1/3 hours
t = 5 hours 20 minutes
Answer:
5 hours and 20 minutes
Step-by-step explanation:
it will take them 5 hours and 20 minutes.
What ratio is equivalent to 9:6 ?
12:8
7:4
3:1
15:10
Answer:
15:10
Step-by-step explanation:
15:10 can be reduced into 3:2 by dividing with 5
and 9:6 can be reduced to 3:2 by dividing with 3
keep smiling.
Answer:
D
Step-by-step explanation:
just got in edg 2021
PLEASE HELP MEEEE THIS IS DUE IN TEN MINUTES ALSO HOW THE HECK DO YOU CHANGE THE THING THAT SAYS COLLEGE BY UR NAME? IM IN FLIPPING EIGTH GRADE NOT COLLEGE!!!
Answer:
1. 4.05 x 10^-4
2. 49,345,000
3. 2.357897 × 10^9
please help me with this sum
Answer:
Step-by-step explanation:
2. 3 × 12 = 3 × 2 × 6 = 3 × 2 × 2 × 3
3. 4 × 9 = 2 × 2 × 3 × 3
4. 6 × 6 = 2 × 3 × 2 × 3
please give me a brainliest answer
Step-by-step explanation:
2. 36 = 3 × 12 = 3 × 2 × 6 = 3 × 2 × 2 × 3
3. 36 = 4 × 9 = 2 × 2 × 3 × 3
4. 36 = 6 × 6 = 2 × 3 × 2 × 3
5) Add using Place-Value diagrams: 215 six + 43 six
As I understand, we want to perform the given sum by adding the correspondent place values.
Using this method, we will see that the value of the sum is 258.
First, we define the place values as the value that each "position" has, where the reference is the decimal point.
The first place at the left of the decimal points is the units digit.
The second is the tens digit, and so on.
With this, we can rewrite te twi given numbers as:
215 = 2*100 + 1*10 + 5*143 = 4*10 + 3*1Then the sum can be done as:
215 + 43
(2*100 + 1*10 + 5*1) + ( 4*10 + 3*1)
2*100 + (1 + 4)*10 + (5 + 3)*1
2*100 + 5*10 + 8*1 = 258
Then we have:
215 + 43 = 258
If you want to learn more, you can read:
https://brainly.com/question/1858248
Multiply.
[−8 ⋅ 4/11] ⋅ [(−0.1) ⋅ 22]
What is the product?
pls help!!!
Ben can paint 280 square feet in 12 minutes. How many square feet can he paint in 1 hour?
Answer:
1400 sq. ft
Step-by-step explanation:
60 min = 1 hour
280 sq. ft / 12 min = x / 60 min
x = 60 min * (280 sq. ft / 12 min)
minuets cancel out
x = 1400 sq. ft
4 Which graph shows x and y in a proportional
relationship?
A y
35
30
25
20
15
10
5 5
0
0 1 2 3
4 5 6 7 8
B.
Helicopter
У
35
30
25
Height (meters)
20
15
10
5
0
0 1 2 3 4 5 6 7 1
Time (seconds)
C.
Tickets
y y
140
120
100
Cost (dollars)
80
60
10
20
0
0 1 2 3 4 5 6 7 8
Number of tickets
Pizzas
УГ
35
30
25
Cost (dollars)
20
15
10
5
0
0 1 2 3 4 5 6 7 x
Number of pizzas
Answer: I'm sorry, I dont really know but here are some notes to help you with this.
Step-by-step explanation: https://www.hopewell.k12.pa.us/Downloads/Representing%20Proportional%20Relationship%20-%20NOTES%20COMPLETE2.pdf
A coin is tossed 10 times, find the probability of getting seven heads.
Answer:
7/10 or 70%
Step-by-step explanation:
because 10/10 is 100%-----> so 7/10----> 70%
Stefan's family raises honey bees and sells the honey at the farmers' market. To get ready for market day, Stefan fills 24 equal sized jars with honey. He brings a total of 16 cups of honey to sell at the farmers' market.
Answer:
Have you ever wondered how a tiny little insect like a bee could ever fill a jar of honey? If it were just down to one bee it would be a mighty task but the work is shared by many thousands of bees and is a great example of what can be achieved by a co-ordinated effort. Think of it in terms of humans creating something like a pyramid.
A jar of honey weighs 454 grammes and a bee can carry about 0.04 grammes of nectar. But nectar is only about 40% sugar and honey needs to be about 80% sugar so the bee actually only carries about 0.02 grammes of honey on each trip.
Step-by-step explanation:
IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math
c-9
to find the amount of parents in the room we'd have take away the amoutn if children in the room from the total amount of people
25-9
thus, your expression to represent the amount of parents would be
c-9
Hope this helped you- have a good day bro cya)
Can someone please hurry and finish this question please!!!! Will give brainliest
Answer:
2b. R line is lower.
2c. It is lower because the y-intercept is negative.
Answer: ill take one for you john
Step-by-step explanation:
Helppppppp plzzzzzzz
Answer:
102°
Step-by-step explanation:
Angles in a straight line is added up to 180°
So,
Angle 1 + Angle 2 = 180°
Given that,
Angle 2 = 78°
We can find angle 1
Let us find,
Let the angle 1 be x
[tex]x+78=180\\x=180-78\\x=102[/tex]
As a and b lines are parallel,
Angle 1 = Angle 5 (Corresponding angles)
Also we already found the angle 1
So,
Angle 5 = 102°
Hope this helps you.
Let me know if you have any other questions :-)
DO NOW: What is the surface area of the cube? 4 in 4 in 4 in
Answer:
96 in^2.
Step-by-step explanation:
It has 6 surfaces each of area 4*4 = 16
Answer is 6*16 = 96.
NO LINKS!!! Part 1: y = x^3
Shape:
Domain:
Range:
Locater point:
Answer:
Shape: Not sure what to put
Domain: ( -oo, oo )
Range: ( -oo, oo )
Locater point: ( 0, 0 )
Step-by-step explanation:
Shape - You have the shape on the graph
Domain and Range - Both go on forever since there is no hole/interruption
Locater Point: I would say origin because it is the closest thing to a vertex, which is an example of a locater point.
Hopefully this helps!
Brainliest please?
.
Simplify: -8(13 – 5c + 12d)
a -104 – 5c + 12d
b -104 - 40c - 96d
c -104 -13c + 4d
d -104 + 40c – 96d
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Simplification ~
[tex] - 8(13 - 5c + 12d)[/tex][tex]( - 8 \times 13) + ( - 5c \times - 8) + ( - 8 \times 12d)[/tex][tex] - 104 + 40c - 96d[/tex]Correct choice is D
Simplify: -8(13 – 5c + 12d)
= −8 (13−5c+12d)
= (−8×13) + (−5c×−8) + (−8×12d)
= - 104 + 40c - 96d
Correct option is D
▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪
Answered by:-Cutest Ghost (･◡･)▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪
Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place
Hi,
Recall that the area of a parallelogram is the product of the base b and the height or "altitude" h. So the formula is : b * h. b = 20 here, and h = 6, so we get : 20 * 6 = 120.
Now we have to compute the area of the semicircle, remember the formula for the area of a circle is : πr² where r is the radius of the circle. If we watch the figure, we already have the value of the diameter d = 8. So the radius is equal to half the diameter : r = 8 /2 = 4
Now applying the formula we get : πr² = π * 4² ≈ 50.3 rounded to the nearest tenth place.
But we don't wont the area of the circle, we want half the area of it, since it's a semicircle : πr² / 2 ≈ 25.1 rounded to the nearest tenth place.
Now to get the whole area of the figure, we need to sum the area of the parallelogram with the area of the semicircle : 120 + 25.1 ≈ 145.1 rounded to the nearest tenth place.
Good Luck
What is the system of measurement used most often in the United States?
customary
converted
metric
similar
solve pls brainliest
Answer:
For the first question, it's the third line, the second one after zero.
For the second question, it's the 7th line in total, the 6th one after zero.
Step-by-step explanation:
Please Help ASAP will give a brainliest the questions are in the photos
{HELP WITH MATH}
Answer:
its should almost be certainly be A
Step-by-step explanation:
Need help with number 2 and 3
Answer:
2. SSS ( Side-Side-Side)
SOLVE ASAP!!!!! NO LINKS!!!!!!∛²³1 + 4 x -96
Answer:
All i got was 3√23+4x−96
Step-by-step explanation:
What is the slope of the line that contains these points
Answer:
Slope = - 5
Step-by-step explanation:
Let,
x1 = 13
x2 = 14
y1 = 11
y2 = 6
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope = ( 6 - 11 ) / ( 14 - 13 )
= - 5 / 1
Slope = - 5
Answer:
[tex]\boxed{\sf slope:-5}[/tex]
Step-by-step explanation:
Slope :
[tex]\boxed{\sf m=\cfrac{rise}{run} =\cfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf ^*m=slope[/tex]
[tex]\sf (x_1, y_1): first \: coordinates[/tex]
[tex]\sf (x_2, y_2): second\: coordinates[/tex]
___________________
[tex]\sf \left(x_1,\:y_1\right):\left(13,\:11\right)[/tex]
[tex]\sf \left(x_2,\:y_2\right):\left(14,\:6\right)[/tex]
[tex]\sf slope\:(m)=\cfrac{6-11}{14-13}[/tex]
[tex]\sf slope\:(m)=-5[/tex]
____________________
The sum of three numbers is 99. The third number is 3 times the first . The second number is 9 more than the first. What are the numbers?
Answer: This can be written as x + (x-9) + 3(x-9) = 99
5x - 36 = 99
5x = 135
x = 135/5 = 27
You can now just plug in the value of x for each of the initial terms to get:
n1 = 27
n2 = 18
n3 = 54
Step-by-step explanation:
please help...... fast
Answer:
SAS
Step-by-step explanation:
This week, 951 people went to the beach. Last week, 1,173 people went to the beach. The number of people who went to the beach fell by what percent?
HELP ME PLS
Simplify the following integer exponents:
Was the HOA president right for doing so? What other factors could have contributed to both the rise in ice cream sales and murders? Is this an example of correlation or causation?
Answer:
No, the HOA president was wrong because both murder and ice cream sales spiked during the summer months but slowly decreased during months in the spring, fall and winter times. This is an example of causation.
Step-by-step explanation:
I wouldn't put exactly that because i put that on mine but here's an idea!
Hope this helps! <3
Have a nice day/night!
please help ME I BEG YOU
Step-by-step explanation:
I think it is 44.
if wrong forgive me.
hope this helps.
Answer:
44
Step-by-step explanation:
1. To round a number to the nearest 10, look at the ones-digit. If the digit is 5 or more, round up (raise the score). If the digit is 4 or less, round down (let it rest).
2. The ones-digit in 44 is 4 or less, meaning we round down. The 4 in the ones-place becomes zero, and therefore, rounds to 40.
Therefore, the answer is 44.
If A = {1, 4, 5, 6, 7}, B={1, 2, 5, 8, 9} and C={3, 4, 5}
Then find A∪ B ∪ C
Answer:
A U B U C = {1,2,3,4,5,6,7,8,9}
Step-by-step explanation:
This is the correct form
Answer:
A={1,4,5,6,7}
B={1,2,5,8,9}
C={3,4,5}
AUBUC= all elements of A,B,C
={1,2,3,4,5,6,7,8,9}