Answer:
Your car is faster of course
Step-by-step explanation:
100 km would be 100000 meters. Then you would need to know that if Usain bolt ran 100 meters every 9.54 sec then in 100000 meters he would have ran 9540 seconds which is also known has 159 minutes, which is more than 1 hour so your car is faster.
7. Trading volume on the New York Stock Exchange is heaviest during the first half hour (early morning) and last half hour (late afternoon) of the trading day. The early morning trading volumes (millions of shares) for 13 days in January and February are shown here (Barron’s, January 23, 2006; February 13, 2006; and February 27, 2006). 214 163 265 194 180 202 198 212 201 174 171 211 211 The probability distribution of trading volume is approximately normal. a) Compute the mean and standard deviation to use as estimates of the population mean and standard deviation. b) What is the probability that, on a randomly selected day, the early morning trading volume will be less than 180 million shares? c) What is the probability that, on a randomly selected day, the early morning trading volume will exceed 230 million shares?
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
Which is the label of the ordered pair (1,3)?
1. V
2.W
3.X
4. Y
5. Z
Answer:
dude. its 4.Y
DO NOT ANSWER WITH A LINK
The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers.
x + (x + 1) + (x + 2) = 42
x + (x + 2) + (x + 4) = 42
(x minus 1) + x + (x + 1) = 42
(x minus 2) + x + (x + 2) = 42
x + 2 x + 3 x = 42
Answer:
x+(x+1)+(x+2)=42
(x minus 1)+x +(x+1)=42
Step-by-step explanation:
to find the smaller number and to find the middle number
I hope this help you
This question in algebraic expression and number form : the difference between 20 and x
Answer: Let the numbers be x and y.
x+y = 20 …(1)
x-y = 10 …(2)
Add (1) and (2)
2x = 30, or x = 15, and so y = 5.
The product of the two numbers = xy = 15*5 = 75.
Step-by-step explanation:
Help or no if so thanks<3
Solve for n.
ples help me solv for n
Answer: 50 miles per hour
Step-by-step explanation: It is that because when the line passes on the one hour mark it is 50.
( p + 6 ) + ( 8p + 2 )
Answer:
9p+8
Step-by-step explanation:
p+8p= 9p
6+2= 8
9p+8
Answer:
Step-by-step explanation:
(p+6) + (8p+2)
(p+8p) + (6+2)
9p + 8
Write 1000 as a power of 10
The regular price of a skateboard is $74.99.
Find the sale price when the skateboard is reduced by:
a) 30% b) 25% c) 60% d) 50%
Calculate each sale price, including taxes of 13%.
Answer:
a)$62.2417
b)$65.9912
c)$39.7447
d)$47.2437
Step-by-step explanation:
a)100%-30%=70%
70%+13%=83%
83/100x74.99=62.2417
b)100%-25%=75%
75%+13%=88%
88/100x74.99=65.9912
c)100%-60%=40%
40+13=53
53/100x74.99=39.7447
d)100%-50%=50%
50+13=63%
63/100X74.99=47.2437
Hope this helps! Thanks.
What is the system of measurement used most often in the United States?
customary
converted
metric
similar
Answer:
metric po
Step-by-step explanation:
measurements and metric units of measure
Which of the following are remote interior angles of angle 1? Check all that apply
A. <5
B. <2
C. <3
D. <1
E. <4
F. <6
Answer:
The answer would be 6 and 4.
Step-by-step explanation:
Because when they mean remote interior, they are hinting that the interior angles that are not close to 1. We cannot choose 3 in this situation because it is adjacent to angle 1.
Which expression is equivalent to -0.25(16m + 12)?
PLEASE HELP
Answer:
-4m-3
Step-by-step explanation:
Step-by-step explanation:
→ -0.25(16m+12)
→ (-0.25×16m)+(-0.25×12)
→ (-4m)+(-3)
→ -4m-3. Answer
Use the functions f(x) and g(x). to evaluate below.
Given the graph and the table of functions, f(x) and g(x), the following evaluated:
a. f(0) = 9
b. g(2) = -3
c. f(-1) = 5
Given the functions, f(x) and g(x), the following can be evaluated:
a. Find f(0):
Using the table given, what we need to determine is the of the output, f(0) that an input value, x = 0, will give.
From the table, we see that when x = 0, f(x) =9.Therefore,
f(0) = 9
b. Find g(2):
From the graph, find the corresponding value of g(x) that corresponds with x = 2.
From the graph, when x = 0, g(x) = -3Therefore,
g(2) = -3
c. Find f(-1):
From the table, find the corresponding value of f(x) that corresponds with x = -1.
From the table, when x = -1, f(x) = 5Therefore,
f(-1) = 5
Learn more here:
https://brainly.com/question/19639627
hey guys pls help me i need to submit this before 1hr .graphing an inverse function.y = 4x + 12 using the x values (-2,-1, 0, 1 and 2).
Answer:
4, 8, 12, 16, 24
Step-by-step explanation:
Replace the x with the x values starting at -2 and use the equation with the new x value.
E.g.
x = -2
y = 4 * -2 + 12
y = 4
Sorry if my explanation isn't the best.
solve pls brainliest
Answer:
y = 1.28
Step-by-step explanation:
Hi there!
[tex]10.24=8y[/tex]
To solve for y, divide both sides by 8:
[tex]\displaystyle \frac{10.24}{8} =\displaystyle \frac{8y}{8} \\\\1.28=y[/tex]
Therefore, y = 1.28.
I hope this helps!
Answer:
= 1 . 2 8
Step-by-step explanation:
10.24 =8y
10.24 = 8y
8 8
By which rule are these triangles congruent?
Answer:
S, S, S
Step-by-step explanation:
Please Help!
1. If you take a Uber and they charge $5 just to show up and $1.57 per mile, how much will it cost you to go 12 miles? (Assume no tip.)
a. Create an equation from the information above.
b. Identify the slope in the equation?
c. Calculate the total cost of the ride?
2. With the same charges as #1, how many miles could you go with $50, if you also gave a $7.50 tip? (Challenge Question! Hint, you only have a $50, exactly, with you.)
Answer:
1. 23.84
a. Let x = Each mile
5 + 1.57x
b. Let Y = graph position
y = 5 + 1.57x
c. 23.84
2. 27 Miles
Step-by-step explanation:
A person flying a kite has released 176 m of string . the string makes an angle of 27 degrees with the ground . how high is the kite? how far away is the kite horizontally? answer to the nearest meter
Answer:
80 m High and 157 m away
Step-by-step explanation:
Cos(27)=x/176
x= 156.8 m
Sin(27) = y/176
y = 80
Find f-1(x), if f(x) = 3x – 6. Justify your
reasoning with math calculations and/or a written
explanation.
solve. −3.1=−3.5x−4.6
Answer:
x = 0.428571 repeating
Step-by-step explanation:
Answer:
-0.428571 repeating
Step-by-step explanation:
add 4.6 both sides
1.5 = -3.5x
divide -3.5 both sides
-0.428571 repeating
Zahid and nasir had 7350 game cards. Zahid gave 520 cards to nasir. Now zahid had 4 times as many games cards as nasir. How many game cards did zahid bave at first?
Answer:
Zahid had/has 31480 cards
7350 + 520= 7870
7870 times 4 = 31480
Step-by-step explanation:
Hope this helps
can i get braineist
Answer:
Step-by-step explanation:
Zahid and nasir had game cards= 7350
Zahid gave cards =520
Total cards left= 7350 - 520= 6830
Let
Zahid =x
Nasir = 4x
x+4x=6830
5x=6830
x=6830/5=1366
Zahid=1366
Nasir=4x=4(1366)=5464
Check
Zahid=1366+520=1886
Nasir=5464
Zahid+Nasir=1886+5464=7350
I’m a little lost on this
According to a 2014 Pew Research poll, 58% of Americans believe in Hell. Suppose a random sample of 100 Americans is obtained and the number of Americans who believe in Hell is recorded. Can this binomial experiment be approximated using a normal distribution? Be sure to demonstrate your conclusion numerically.
Testing the conditions, we get that [tex]np = 58 \geq 10[/tex] and [tex]n(1 - p) = 42 \geq 10[/tex], thus, this binomial experiment can be approximated using a normal distribution.
For each person sampled, there are only two possible outcomes. Either they believe in Hell, or they do not. The probability of a person believing in hell is independent of any other person, which means that the binomial distribution is used to solve this question.
Binomial distribution:
Probability of x successes on n trials, with p probability.
If [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex], it can be approximated to the normal distribution.
In this problem:
Sample of size 100, thus [tex]n = 100[/tex].58% believe in Hell, thus [tex]p = 0.58[/tex].Then
[tex]np = 100(0.58) = 58 \geq 10[/tex]
[tex]n(1 - p) = 100(0.42) = 42 \geq 10[/tex]
[tex]np = 58 \geq 10[/tex] and [tex]n(1 - p) = 42 \geq 10[/tex], thus, this binomial experiment can be approximated using a normal distribution.
A similar problem is given at https://brainly.com/question/24261244
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Triangle ABC is defined by the points A(3,8), B(7,5), and C(2,3).
Create an equation for a line passing through point A and perpendicular to BC.
y=
X +
Reset
Next
Answer:
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex]
Step-by-step explanation:
Calculate the slope m of BC using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = B (7, 5 ) and (x₂, y₂ ) = C (2, 3 )
[tex]m_{BC}[/tex] = [tex]\frac{3-5}{2-7}[/tex] = [tex]\frac{-2}{-5}[/tex] = [tex]\frac{2}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute A (3, 8 ) into the partial equation
8 = - [tex]\frac{15}{2}[/tex] + c ⇒ c = 8 + [tex]\frac{15}{2}[/tex] = [tex]\frac{16}{2}[/tex] +[tex]\frac{15}{2}[/tex] = [tex]\frac{31}{2}[/tex]
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line
The equation for a line passing through point A and perpendicular to BC is 2y = -5x +31 or y = -2.5x +15.5.
What is the equation of a Straight Line ?The equation of the straight line is represented by
y = mx+c
where m is the slope , and c is the intercept on y axis.
The equation of the line BC for points B(7,5), and C(2,3) is
y- y' = m(x-x')
m = 2/5
and c =
y-5 = (2/5)x - (14/5)
y = (2/5)x+(11/5)
The slope of the line perpendicular rot this line is given by
as the product of two perpendicular lines should be -1
m = -5/2
y = (-5/2)x +c
8 = (-15/2) + c
8 +(15/2) = 0
31/2 = c
Therefore the equation for a line passing through point A and perpendicular to BC is
2y = -5x +31
To know more about equation of a Straight Line
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The functions f and g are defined as follows.
f(x)=-3x-1
3
g(x)=2x? +2
Find f (2) and g(-2).
Simplify your answers as much as possible.
__________
[tex] \: [/tex]
f(x) = -3x - 1
g(x) = 2x + 2
Soo :
f(2) :f(2) = -3(2) - 1
f(2) = -6 - 1
f(2) = -7✔
.
g(-2) ;g(-2) = 2(-2) + 2
g(-2) = -4 + 2
g(-2) = -2✔
which is equivalent to 2 5/6?
A. 5/3
B. 12/5
C. 7/6
D. 17/6
(IF YOU ARE ABLE TO, PLEASE PROVIDE AN EXPLANATION FOR THE ANSWER)
please help !!! thank you :)
Answer:
12
Step-by-step explanation:
2 ( - 2x + 6 )
= 2 ( - 2x ) + 2 ( 6 )
= - 4x + 12
The cost c, for manufacturing x flags is given by c=x? -24x +39. Find the number of flags manufactured if the cost is $120.
The number of flags are 0
(Simplify your answer.)
9514 1404 393
Answer:
27
Step-by-step explanation:
You want to find x when c = 120.
120 = x^2 -24x +39
x^2 -24x -81 = 0 . . . . . . subtract 120 to put in standard form
(x -27)(x +3) = 0 . . . . . .factor it
Solutions are ...
x = 27, x = -3 . . . . . values of x that make the factors zero
The number of flags manufactured for a cost of $120 is 27 flags.
a line passes through the point of (4,2) and has a slope of -5/4
Answer:
y = -5/4x + 7
Step-by-step explanation:
y = -5/4x + b
2 = -5/4(4) + b
2 = -5 + b
7 = b
wich of the following 7/18 closest to
Answer:
1/2
hope this helps
Answer:
1/2
Step-by-step explanation:
7/18 is close to 1/2