Answer:
A: False
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Velocity is the rate at which an object moves and which way it is going, while speed is just the rate.
A sample size 25 is picked up at random from a population which is normally
distributed with a mean of 100 and variance of 36. Calculate-
(a) P-{ X<99}
(b) P{98X
Answer:
a) P(X < 99) = 0.2033.
b) P(98 < X < 100) = 0.4525
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 100 and variance of 36.
This means that [tex]\mu = 100, \sigma = \sqrt{36} = 6[/tex]
Sample of 25:
This means that [tex]n = 25, s = \frac{6}{\sqrt{25}} = 1.2[/tex]
(a) P(X<99)
This is the pvalue of Z when X = 99. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{99 - 100}{1.2}[/tex]
[tex]Z = -0.83[/tex]
[tex]Z = -0.83[/tex] has a pvalue of 0.2033. So
P(X < 99) = 0.2033.
b) P(98 < X < 100)
This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So
X = 100
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{100 - 100}{1.2}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 98
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{98 - 100}{1.2}[/tex]
[tex]Z = -1.67[/tex]
[tex]Z = -1.67[/tex] has a pvalue of 0.0475
0.5 - 0.0475 = 0.4525
So
P(98 < X < 100) = 0.4525
Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys and girls are equally likely.
The probability of having 2 girls and 3 boys in a 5-child family is 5/16
What is Probability ?Probability is the likeliness of an event to happen .
Total Probability of having 5 kids as boy or girl is 2⁵ = 32
The probability that there is 3 boys in the 5 children and remaining two are girls
[tex]\rm ^5C_3[/tex]
= (5*4*3*2*1)/(2*1)(3.2.1)
= 10 ways
probability of having 2 girls and 3 boys in a 5-child family is
=10/32
= 5/16
Therefore , the probability of having 2 girls and 3 boys in a 5-child family is 5/16
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Your client has asked you to evaluate customers attending the games for a professional football team. The stadium is interested in increasing revenue. Based on the regression models and hypothesis tests learned in this topic and external references, discuss the specific type of data that could be collected from fans and used in a multiple regression model for NFL team revenue. Justify your selection by explaining how the data could be collected and why they are important. Be sure to state and refer to your reference.
Answer:
Number of spectators who leave the stadium before 180 minutesThis data would show if spectators only come to the stadium and stay until the end of the game when their favorite teams are playing
Number of customers/spectators attending the last 100 matchesThis data will help the stadium know the current trend ( either increasing of decreasing ) number of the spectators who visit the stadium
The data can be collected via the exit time entries at the exit gate of the stadiumhistory of ticket sold over the last 100 matcheswe have to conduct a hypothesis test assuming that a spectator watches a match for more than 180 minutes with an assumed standard deviation
we can also use regression analysis and line of best fit to check for the trends
Step-by-step explanation:
Aim : The Aim of the stadium is Increasing revenue generated in the stadium and some of the ways to achieve such is by taking specific data as regards the customers/spectators who visit the stadium
The type of data that could be collected from the fans to be used in multiple regression model:
Number of spectators who leave the stadium before 180 minutesThis data would show if spectators only come to the stadium and stay until the end of the game when their favorite teams are playing
Number of customers/spectators attending the last 100 matchesThis data will help the stadium know the current trend ( either increasing of decreasing ) number of the spectators who visit the stadium
How can the data be collected
The data can be collected via the exit time entries at the exit gate of the stadiumhistory of ticket sold over the last 100 matcheshow to apply the data
we have to conduct a hypothesis test assuming that a spectator watches a match for more than 180 minutes with an assumed standard deviation
we can also use regression analysis and line of best fit to check for the trends
Ali has $60 to spend and would like to buy
as many calculators as possible with the
money. The calculators that she wants to
buy are $8.75 each.
How much money will she have left over
after she purchases the greatest possible
number of calculators?
Answer:
60/8.75 = 6 calculators.
6 x 8.75 = 52.5
60 - 52.5 = $7.50 left
Step-by-step explanation:
please help !! A store sells packs of 3 mini-pizzas for $5. Complete the ratio table to show the price for up to 15 mini-pizzas. Mini-Pizzas 6 12 15 Price ($) 5 15 PART B A store sells packs of 3 mini-pizzas for $5. How much would 24 mini-pizzas cost?
Answer:
Step-by-step explanation:
6-$10 12-$20 15-$25
part 2 $40
The area of a rectangle Is 52 ft?, and the length of the rectangle is 5 ft less than twice the width. Find the dimensions of the rectangle.
I need help. This is due in a few minutes.
Answer:
choose the 3rd one is the one
Which of the following statements would be true about the product of 6 and 1 3/4?
Answer:
Where is the question
Step-by-step explanation:
:\
Answer:
[tex] \frac{21}{2} [/tex]
[tex]10 \times\frac{1}{2} [/tex]
Step-by-step explanation:
6/1 • 7/4= 42/4
I need help please (100 points)
Answer:
10 times x is 10 x and 10 times -2 is -20 so now we have 10x-20=-20
now we move the 20 over so that 10x=0 so now we can move the ten over so now we just have x=0
i need help on this one too sorry to ask much
Answer:
I can't really see the pic :(
Step-by-step explanation:
Answer:
8^2
Step-by-step explanation:
8*8=8^2 or 64
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
−3i√2
Yeah pretty sure that is right
ANSWER ASAP! ALL SCAM LINKS WILL BE REPORTED.
Answer:
y=55+15x
Step-by-step explanation:
Answer:
The answer is (C) y = 55 + 15 x
Step-by-step explanation:
This is because the cost of the plan must be added to the cost of the lines to find the total cost. The equation for option (C) correctly depicts that y the plan, needs to be added to x the lines. This equation correctly shows the relationship between the two numbers.
Jacqueline is ordering pizzas for a party. Each pizza is cut into 12 slices. Jacqueline wants to have enough pizza so each person can have 4 slices. 16 people will be at the party. If Jacqueline buys 7 pizzas, how many extra slices will be left over after each guest eats 4 slices?
Answer:
20
Step-by-step explanation:
Just write down the answer.
When a real zero x = a of a polynomial function fis of even multiplicity, the graph of f ---Select-- the x-axis at x = a, and when it is of odd multiplicity, the
graph of f ---Select-- the x-axis at x = a.
Answer:
touches
crosses
Step-by-step explanation:
[tex]x=a[/tex] is said to be a zero of a function [tex]f(x)[/tex] if [tex]f(a)=0[/tex]
A zero say [tex]x=a[/tex] has a "multiplicity" equal to [tex]n[/tex], if the factor [tex](x-a)^n[/tex] appears in the polynomial.
When a real zero [tex]x=a[/tex] of a polynomial function [tex]f[/tex] is of even multiplicity, the graph of [tex]f[/tex] touches the x-axis at [tex]x=a[/tex], and when it is of odd multiplicity, the
graph of [tex]f[/tex] crosses the x-axis at [tex]x=a[/tex].
The solution of equations system using the Substitution Method
y = 3x & 2y+2x=24 is (3,9)
true
or
false
help mee
Answer:
True
Step-by-step explanation:
[tex] \begin{cases} y = 3x \\\\ 2y + 2x = 24\end{cases} [/tex]
Plugging y = 3x in the equation 2y + 2x = 24, we find:
2(3x) + 2x = 24
6x + 2x = 24
8x = 24
x= 24/8
x = 3
Plugging x = 3 in the equation y = 3x we have:
y = 3*3 = 9
(x, y) = (3, 9)
what's up with all the answers with fake links that say something like "here is the answer click the link" and its not even a real link ???
Answer:
I dont even know lol
Step-by-step explanation:
Answer:
Like when its in a file? They just like to take your points
Step-by-step explanation:
HELP. What is the value of y in the equation 2(2y - 12) = 0? (5 points)
1) 4
12 6
3
3) 7
4) 8
Answer:
6
Step-by-step explanation:
2(2y - 12) = 0
distribute the 2
2·2y - 2·12 = 0
4y - 24 = 0
add 24 to both sides
4y - 24 + 24 = 0 + 24
4y = 24
divide both sides by 4
(4y)/4 = 24/4
y = 6
Simplify: (x2+6x+8) + (-4x2+11x-9)
Answer:
-3x^2+17x-1
Step-by-step explanation:
Consider function f, where B is a real number.
f(x)=tan(Bx)
Complete the statement describing the transformations to function f as the value of B is changed.
As the value of B increases, the period of the function (remains the same, increases, decreases), and the frequency of the function (remains the same, increases, decreases).
When the value of B is negative, the graph of the function (reflects over the y-axis, remains the same, reflects over the x-axis).
Using the concept of the tangent function, it is found that:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
---------------------------------
Tangent function:
It is given by:
[tex]f(x) = \tan{Bx}[/tex]
The period is [tex]P = \frac{\pi}{|B|}[/tex].The frequency is [tex]F = \frac{1}{P} = \frac{|B|}{\pi}[/tex].---------------------------------
The period is inversely proportional to B, thus, as B increases, the period decreases.Frequency is inversely proportional to the period, thus, as the period decreases, the frequency increases.When B is negative, we get [tex]f(x) = \tan{-Bx} = f(-x)[/tex], thus, the function is reflected over the y-axis, as the graph at the end of the answer shows, with f(x) is red(B positive) and f(-x) in blue(B negative).---------------------------------
Considering the three bullet points above, the correct option is:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
A similar problem is given at https://brainly.com/question/16828446
Answer:
got it right
Step-by-step explanation:
What property does the following expression demonstrate? 9(3x) = (9x3)x
Answer: x=0,\root(3)(3)
Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Brainliest or a thank you please? :))
9514 1404 393
Answer:
associative property of multiplication
Step-by-step explanation:
We assume your equation is ...
9(3x) = (9·3)x
The parentheses have moved to a different portion of the product. This is allowed by the associative property of multiplication. It lets you associate parts of the product any way you like.
_____
Additional comment
It is not a good idea to use "x" to indicate multiplication in an expression in which "x" is a variable. There are many other ways to indicate multiplication, including using the "times" symbol (×).
The equation of the line that passes through the point (0,5) and has a gradient of 4 is
I think its 2 Finding the gradient of a straight-line graph
The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . We can, of course, use this to find the equation of the line. Since the line crosses the y-axis when y = 3, the equation of this graph is y = ½x + 3 .
i’m so confused now helpppppppppp!!!!
An exterior angle is equal to the sum of the two opposite interior angles.
X = 125 + 30
X = 155
Answer:
26 put me brinliest pleae!!
Step-by-step explanation:
The following data points represent the number of puppies in each litter at Port's Pup Rescue.
Sort the data from least to greatest.
11
14
7
2
9
6
2
Find the median number of puppies.
puppies
My
Find the mean absolute deviation (MAD) of the data in the pictograph below.
Answer:
its 1
Step-by-step explanation:
The area of a circle is 4 square centimeters. What is the circumference?
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
[tex] \sqrt{18 } is \: a \: \: answer \: pls \: follow \: me[/tex]
Answer:
Step-by-step explanation:
-3i Square root of 2
help help help help hlep help help help helph elp
9514 1404 393
Answer:
step 2; misapplication of the distributive property
Step-by-step explanation:
To eliminate parentheses, the distributive property of multiplication over addition tells you the outside factor is applied to each of the terms inside. The second step should be ...
Step 2: (0.5)(4) +(0.5)(1.2x) +(0.5)(-3.1) = 2 +0.6x -1.55
Shane's mistake was that he added the factor to the first term, subtracted the factor from the coefficient of the second term, and added the factor to the third term. He was inconsistent even in his misapplication of the distributive property.
How much Hundreds equal 28?
Answer:
0.28
Step-by-step explanation:
0.28*100=28
mel robbins hdhfjddjhdhd
Which number line shows the solutions of 13x−8≥x+6?
Answer:
the one that shows -21 in the line
Step-by-step explanation:
The value of the variable x is greater than or equal to 7/6 on the number line.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
13x - 8 ≥ x + 6
Simplify the equation, then the value of x will be
13x - 8 ≥ x + 6
13x - x ≥ 8 + 6
12x ≥ 14
x ≥ 14 / 12
x ≥ 7/6
The value of the variable x is greater than or equal to 7/6 on the number line.
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