Answer:
0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games
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 zscore 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 pvalue, 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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The home team therefore wins 50% of its games
This means that [tex]p = 0.5[/tex]
Determine the probability that the home team would win 65% or more of its games in a simple random sample of 80 games
Sample of 80 means that [tex]n = 80[/tex] and, by the Central Limit Theorem:
[tex]\mu = p = 0.65[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5*0.5}{80}} = 0.0559[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 0.65. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.65 - 0.5}{0.0559}[/tex]
[tex]Z = 2.68[/tex]
[tex]Z = 2.68[/tex] has a pvalue of 0.9963
1 - 0.9963 = 0.0037
0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games
in fractions we have to multiply 25 to get a hundred what do we do
Answer:
muliply 25 by 4
Step-by-step explanation:
25×4 =100
Answer:
*4
X 4
times it by 4
Step by step explanation:
25 + 25 + 25 + 25 = 100
therefore you added 25 four times so your answer is X by 4
what is the answer of 3x+235+237
Answer:
3x + 472
Step-by-step explanation:
Answer:
3x + 472
Step-by-step explanation:
We have the expression 3x + 235 + 237 and are asked to find the answer.
We are not solving for x, neither are we doing anything complicated, we need to focus on like terms, which are certain numbers having different symbols, in which they can only be added with the numbers with the same symbols as them.
In this equation, we have two terms, variables and constant. We can only add the constants because once again, you cannot add two terms that don't have the same symbol.
Therefore :
3x + 235 + 237
235 + 237
472.
The answer is 3x + 472
Tasha has foam blocks stored in a box that measures 314 ft long by 3 ft wide by 1 ft tall.
Each foam block is a cube with 14 -ft edge length.
How many blocks can fit into the box?
156 blocks
312 blocks
624 blocks
2496 blocks
Answer:
624
Step-by-step explanation:
I hope it helps i did the test btw <3
Answer:
624
Step-by-step explanation:
I also did that same exact test. K12 right? That is what I go to. Anyway that answer is correct. Your welcome!
Determine the domain of the function, and choose the correct interval and inequality notations.
f(x) = 2x+8
Answer:
x=-4
Step-by-step explanation:
common demominator of 1/3 and 3/4
Answer:12 is a common denominator!
Step-by-step explanation:
Consider an exchange economy with two people, A and B, and two commodities, food (x) and water (y). A's and B's preferences are described, respectively, by the following utility functions:
ua(Xa,Ya)= X^2aYa, MRSa(Xa,Ya)=2Ya/Xa
ub(Xb,Yb)=XbY^2b, MRSb(Xb,Yb)=Yb/2Xb
Suppose there are 6 units of x and 6 units of y overall.
1. Draw an Edgeworth box for this economy.
2. Determine whether each of the following allocations is (i) feasible, (ii) Pareto efficient
a. ( (2,4), (4,2) )
b. ( (4,2), (2,4) )
c. ( ( 8 / 3 , 1 ), ( 10/3 , 5 ) )
2/7 divided by 6 can you answer my question
Answer:1/21
Step-by-step explanation:
High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.2. A sample of 37 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places.
Part 1
Is it appropriate to use the normal approximation to find the probability that more than 48% of the people in the sample have high blood pressure? It is not_______ appropriate to use the normal curve, since np = 7.4 ______< 10 and n (1 – p) = 29.6 2 10.
Part 2
A new sample of 82 adults is drawn. Find the probability that more than 32% of the people in this sample have high blood pressure. The probability that more than 32% of the people in this sample have high blood pressure is__________ X 5
Answer:
1. It is not appropriate to use the normal curve, since np = 7.4 < 10.
2. The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.
Step-by-step explanation:
Binomial approximation to the normal:
The binomial approximation to the normal can be used if:
np >= 10 and n(1-p) >= 10
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The proportion of U.S. adults with high blood pressure is 0.2. A sample of 37 U.S. adults is chosen.
This means, respectively, that [tex]p = 0.2, n = 37[/tex]
Is it appropriate to use the normal approximation to find the probability that more than 48% of the people in the sample have high blood pressure?
np = 37*0.2 = 7.4 < 10
So not appropriate.
It is not appropriate to use the normal curve, since np = 7.4 < 10.
Part 2:
Now n = 82, 82*0.2 = 16.4 > 10, so ok
Mean and standard deviation:
By the Central Limit Theorem,
Mean [tex]\mu = p = 0.2[/tex]
Standard deviation [tex]s = \sqrt{\frac{0.2*0.8}{82}} = 0.0442[/tex]
Find the probability that more than 32% of the people in this sample have high blood pressure.
This probability is 1 subtracted by the pvalue of Z when X = 0.32. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.32 - 0.2}{0.0442][/tex]
[tex]Z = 2.72[/tex]
[tex]Z = 2.72[/tex] has a pvalue of 0.9967.
1 - 0.9967 = 0.0033
The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.
if you spin the spinner 12 times what is the best prediction possible for the number of times it lands on pink or yellow
Answer:2
Step-by-step explanation:
I need help. This is due tonight at 11:59 pm
Answer:
Answer: $118.50 per day
Step-by-step explanation:
1,000-348.25= 651.75
651.75÷5.5= 118.50
wat is the sum of 13.75 and -11.25
Answer:
2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
use the keep change change rule
13.75 - keep
+ - change into minus
-11.25 - change into positive 11.25
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $8. On Saturday, Rob earned $56 babysitting. How much money did he save?
Answer:
$7
Step-by-step explanation:
Recognize our numbers, I always say
14, 8, 56
"For every $14, he saves 8."
14-6=8
"He earned $56 babysitting..."
What times eight can give us 56?
56 divided by 8=7
8x7=56
Hope this helps!
Can I get brainliest please?
Use distributive property ⅓(6x-18)
Answer:
2x - 6
Step-by-step explanation:
It would become:
1/3 * 6x - 1/3 * 18
2x - 6
What is functio
TIG
3. Given this graph of the function f(x):
Given the functi
f(x)
Find:
b. f(0) =
c. f(3) =
d. f(-5) =
a. f(-4)=
f. x when f(x) = 0
e. r when f(x) = -2
Answer:
I know I'm not answering your question but math-way helps and its fast i just want to save you time <3
Step-by-step explanation:
have a nice day
Ken can walk 6 dogs in 4 hours. How many dogs can Ken walk in 10 hours?
Answer: 15 Dogs
Step-by-step explanation:
1.) Set up a ratio!
6 Dogs = ?
4 Hours 10 Hours
2.) Cross Multiply
6x10=60
60/4= 15
help read the instructions first
Answer:
Step-by-step explanation:
Find attached the second one
What is y=- x +3 in standard form using integers?
Answer:
x+y = 3
Step-by-step explanation:
Someone please help me with these. I forgot how to do these. Need within a hour
Answer:
just add them
Step-by-step explanation:
The table shows the feeding times of some animals in a zoo. Each feeding session lasts for 20 minutes.
Answer: 12:35 hrs
Step-by-step explanation:
Marlon watches the lions feed in the morning which was at 11:30.
Each feeding session lasts 20 minutes:
= 11:30 + 20
= 11:50 am
Marlon then walks for three quarters of an hour - 45 minutes - before stopping.
= 11:50 + 45
= 12:35 hrs
Statements:
A lullaby is a song.
No song is prose.
Some proses are epics.
Conclusions:
1. Some proses are songs.
II. Some epics are lullabies.
III. Some songs are lullabies.
A)Only Il follows
B)Only I follows
C)Only III follows
D) Neither of I, II or III follows
Answer:
Answer:
C)Only III follows
Step-by-step explanation:
Let's review the conclusions;
I. Some proses are songs.
This is false because of the statement; No song is prose.
II. Some epics are lullabies.
This is false because of the following statements; A lullaby is a song. and No song is prose.
III. Some songs are lullabies.
This follows because of the statement; A lullaby is a song.
The correct option is;
C)Only III follows
The correct conclusion based on the logical statements is C) Only III follows.
Logical Statements:1. A lullaby is a song.
2. No song is prose.
3. Some proses are epics.
Possible Conclusions:I. Some proses are songs.
II. Some epics are lullabies.
III. Some songs are lullabies.
The first conclusion that some proses are songs is not sound because the earlier claim is that "no song is prose." In the same light, the second conclusion is incorrect because a lullaby is usually a song as asserted in statement 1. While epics can be prose or poem, a lullaby is not prose but a poem or a song.
Thus, the correct conclusion based on the logical statements is C) Only III follows.
Learn more about logical statements and conclusions at https://brainly.com/question/18575348
A square plot is 14 meters long.Find its area?
Answer:
Area of square= side*side
So we will have,
14*14
= 196cm²
can you help me solve this plz?
Answer:
x=5.6 y=4.8
Step-by-step explanation:
35 to 77 simplified is
Answer:
5/11
Step-by-step explanation:
35 to 77 simplified is 5/11
35 ÷ 7
---------
77 ÷ 7
Therefore, 35/77 simplified to lowest terms is 5/11.
Hope that helps
And if wrong sorry
Write the fraction as a product of a whole number and a unit fraction.
7/8
Quadrilateral WXYZ is dilated by a scale factor of į to form quadrilateral W'X'Y'Z'. What is the measure of side ZW? Z 28 Y" 42 42 W 28
Answer:
See Explanation
Step-by-step explanation:
Given
The given side lengths are not clear enough:
So, I will give a general explanation.
From the question, we understand WXYZ is dilated to produce W'X'Y'Z
This implies that the sides of WYZY is multiplied by the scale factor (k) to give W'X'Y'Z'
i.e.
[tex]ZW *k =Z'W'[/tex]
Divide both sides by k to get side length ZW
[tex]ZW = \frac{Z'W'}{k}[/tex]
Assume that:
[tex]k = 4[/tex] and
[tex]Z'W' = 28[/tex]
[tex]ZW = \frac{Z'W'}{k}[/tex]
[tex]ZW = \frac{28}{4}[/tex]
[tex]ZW = 7[/tex]
Apply these steps and you will get your answer
What happens to the distance between each billiard ball during this rigid
transformation?
The question is incomplete. Here is the complete question.
To set up a game of billiards, the first player moves the balls contained within a triangular rack as shown. What happens to the distance between each billiard during this rigid transformation?
A. The distance remains constant throughout the transformation.
B. The distance decreases at the start and increases after all motion stops.
C. The distance stays the same at the start but decreasesexactly when motion ends.
D. The distance increases at the start and then decreases as the rack gets further from the player.
Answer: A. The distance remains constant throughout the transformation.
Step-by-step explanation: In a rigid motion, all moving points in the plane are moving in way such tha:
1) relative distance between them stays the same and
2) relative position of the points stays the same
There are four types of rigid motions: translation, rotation, reflexion and glide reflection.
Translation: every point or object is moved by the same amount and in the same direction;
Rotation: the object rotates by the same amount around a fixed point;
Reflexion: the object exchange points from one side of a line with points on the other side of the line at the same distance from the line;
Glide Reflection: is a mirror reflection followed by a translation parallel to the mirror.
In the game of billiards, because all the balls are inside the triangular rack, the distance, and also the position, between them stays the same, limited by the rack. Since they are moving by the same amount in the same direction, the rigid transformation is a translation.
Therefore, the distance of the balls in the triangular rack remains constant throughout the transformation.
1. Which is longer: 6 ft or 70 in.?
Answer:
70in.
Step-by-step explanation:
1 foot is the equivalent to 12 inches. So 6 feet is 6×12. ... So now we have 72 and 70 inches.
Answer:
6 ft is more then 70 in.
Step-by-step explanation:
6 ft is more then 70 in. because 6ft is 72 in. therefore 6ft. is more then 70 in.
HOPE THIS HELPS
in a parking lot 60% of the cars are four-door cars.If there are 75 four-door cars in the parking lot how many cars are in the parking lot all together?
Answer:
there are 125 cars in the parking lot
Step-by-step explanation:
PLZ HELP
x-5(x-1) = x- (2x-3)
Answer:
Step-by-step explanation:
x-5(x-1) = x- (2x-3)
x + x *(-5) + (-1) * (-5) = x + 2x*(-1) + (-3)*(-1) {use distributive property}
x - 5x + 5 = x - 2x +3 {Combine like terms}
-4x + 5 = - x +3 {Add 'x' to both sides}
-4x + 5 + x = -x + x + 3
-3x + 5 = 3 {subtract 5 from both sides}
-3x = 3 - 5
-3x = -2 {Divide both sides by (-3)}
x = -2/-3
x = 2/3
4/5+2/50 find sum and type in whole numbers or fractions
Answer:
Step-by-step explanation:
Least common denominator of 5 , 50 = 50
[tex]\frac{4}{5}+\frac{2}{50}=\frac{4*10}{5*10}+\frac{2}{50}\\\\=\frac{40}{50}+\frac{2}{50}\\\\=\frac{40+2}{50}\\\\=\frac{42}{50}\\\\=\frac{21}{25}[/tex]