Answer:
0.3413 = 34.13% probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10.
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 equals to $10 and a population standard deviation of $4
This means that [tex]\mu = 10, \sigma = 4[/tex]
Sample of 64
This means that [tex]n = 8, s = \frac{4}{\sqrt{64}} = 0.5[/tex]
What is the probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10?
This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 9.5.
X = 10
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{10 - 10}{0.5}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 9.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{9.5 - 10}{0.5}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.5 - 0.1587 = 0.3413
0.3413 = 34.13% probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10.
Which statement is true?
Answer:
A) Airplane A has a lesser median
Step-by-step explanation:
If you look at the photo you see both airplane A and airplane B and if you were to line them up
airplane A=3
airplane B=4 ½
so clearly airplane A would have a lesser median than airplane B
Help me out here.........
Answer:
G. 10.5 pounds
Step-by-step explanation:
96 oz + 72 oz = 168 oz
There are 16 oz in one pound
168 oz / 16 oz = 10.5 pounds.
Please be sure to mark this as brainliest if it helpd you!
Answer:
Step-by-step explanation:
Total ounces = 96 + 72 = 168 ounces
1 ounce =
0.0625 pound
168 ounces = 10.5 pound
Option G is the correct answer
The length of a rectangle is 3 yd more than twice the width, and the area of the rectangle is 54 yd?. Find the dimensions of the rectangle.
Answer:
The length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.
Step-by-step explanation:
Given that the length of a rectangle is 3 yards more than twice the width, and the area of the rectangle is 54 yards, the following calculation must be performed to find the dimensions of the rectangle, knowing that the area of a rectangle arises from multiplying its base by its height:
2X + 3 + X = 54
3X + 3 = 54
3X = 54 - 3
X = 51/3
X = 17
(17 x 2) + 3 = 37
Therefore, the length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.
HELPPPLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
It is C. 42 oz
--------
Here are summary statistics for randomly selected weights of newborn girls: n=250, x_=32.9 hg, s= 6.9 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level. Are these results very different from the confidence interval 31.9 hg < μ < 34.5 hg with only 19 sample values, x_=33.2 hg, and s=2.6hg? What is the confidence interval for the population mean μ?
Answer:
a) ( 31.92 < μ < 33.88 )
The confidence interval is not very different from the confidence interval given in the question
b) ( 31.74 , 34.66 )
Step-by-step explanation:
n = 250
x ( mean ) = 32.9
std = 6.9
95% confidence interval
df = n - 1 = 250 - 1 = 249
a) construct confidence interval estimate
calculate for the margin of error
= [tex]t_{0.05/2} ,_{250-1} ( \frac{s}{\sqrt{n} } )[/tex] ( using excel function: T.INV.2T(0.025,249) )
= 2.255 ( 6.9 / 15.81 )
= 0.98
Hence the confidence interval for the population
= ( x - 0.98 < μ < x + 0.98 )
= ( 31.92 < μ < 33.88 )
The confidence interval is not very different from the confidence interval given in the question
b) when n = 19
x = 33.2 and std = 2.6
margin of error = [tex]t_{0.05/2} ,_{19-1} ( \frac{s}{\sqrt{n} } )[/tex] = 2.45 * ( 2.6 / 4.36 ) = 1.46
confidence interval
= ( 33.2 - 1.46 , 33.2 + 1.46 )
= ( 31.74 , 34.66 )
What is the answer and show me the steps
Answer:
20 because
Step-by-step explanation:
you have to add all of them then ÷ by 2
What is the value of X in the equation. X- 4.3 = 2.5
Answer:
6.8
Step-by-step explanation:
4.3+2.5=6.8
6.8-4.3=2.5
Answer:
6.8 is x value to be put
Write down the next two terms into the given sequence :
-1; 1; 3 ;
Answer:
5 ;7
explantion:
-1+2=1
1+2=3
3+2=5
5+2=7
the pattern is +2
find the missing length
Answer:
PQ=36
Step-by-step explanation:
If the triangles are similar, then they must have a common ratio between them.
RQ corresponds with CB, so [tex]\frac{84}{18}=\frac{14}{3}[/tex]
If the ratio is [tex]\frac{14}{3}[/tex], then [tex]\frac{168}{\frac{14}{3}}=36[/tex], so PQ=36.
Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
will he need?
8 cm
20 cm
Dmitri will need
18 cm
glass tiles.
9514 1404 393
Answer:
968
Step-by-step explanation:
The area of the top and sides is given by the formula ...
A = LW +2H(L +W)
A = (20 cm)(18 cm) +2(8 cm)(20 cm +18 cm)
A = (360 +16(38)) cm² = 968 cm²
Since the tiles are 1 cm², 968 tiles are needed.
find the perimeter of the figure
Answer: [tex]9 \frac{1}{2} x+5[/tex]
Step-by-step explanation:
In order to find the Perimeter, we add all the segments up.
(2x-1)+(4x+3)+(x+2)+(2x+2)+(1/10x-1)+(2/5x)
=2x-1+4x+3+x+2+2x+2+1/10x-1+2/5x ⇔ Expand Parenthesis
=2x-1+4x+3+x+2+2x+2+1/10x-1+4/10x ⇔ Convert fractions into same
denominator
=(2x+4x+x+2x+1/0x+4/10x)+(3-1+2+2-1) ⇔ Put like terms together
=(9x+1/2x)+5 ⇔ Combine like terms
=9 1/2 x +5
Hope this helps!! :)
Please let me know if you have any questions
How to Factor trinomials
The census is a survey of the population that gathers various details about individuals, such as age. This survey observed
that 155 out of every 200 people were 18 years old or older, Determine the probability of randomly selecting a person that
was 18 years old or older,
Express your answer as a fraction,
Answer:
31/40
Step-by-step explanation:
Just simplify the fraction
Answer:
31/40
Step-by-step explanation:
Simplify
Mr. Allen has a class of 18 students. He can spend S18 on each student to buy math supplies for the year. He first buys all of his students calculators, which
costs a total of $124.20. After buying the calculators, how much does he have left to spend on each student?
Answer
$199.8
Explanation:
Find the total amount of money he had in the begining. It says that he can spend $18 on each student. He has 18 students so you would multiply that by the $18 he can spend which gives a total of $324 then you subtract the total cost of the calculators from it which then gives you $199.8
what the perimeter and area of this shape?
Answer:
P = 55 feet
A = 237 sq feet
Step-by-step explanation:
P = 2(4) + (3.14 x 15)
A = (4 x 15) + (3.14 x 7.5²)
Can anyone help me with my homework
Answer:
1) NO
2) YES
3) YES
4) YES
Step-by-step explanation:
A function is a relation that maps elements from a set (the domain, the set of the inputs) into elements from another set (the range, the set of the outputs).
The condition for a function is that each element in the domain can be mapped into only one element in the range.
(Or each input can be mapped into only one output).
Now let's apply this theory to the exercises here.
In all the cases we have relations, so we need to check if one (or more) of the inputs is mapped into more than one output.
Also remember that in the point notation (x, y) the first value is the input and the second is the output.
1)
Here we can see the points (-1, 5) and (-1, 2)
So the input -1 is mapped into two different outputs, 5 and 2.
This means that this is not a function.
2)
In this case, we can see that all the inputs are different (1, -2, 3, 5), so this is a function.
3)
Again, here we can see that each input is being mapped into only one output, then this is a function.
4)
In a graph, the horizontal position represents the input value and the vertical position represents the output value.
One way to tell if a graph belongs to a function or not, is to see if there is a vertical line such that more than one point intersects that line. If that happens, then we have two points with the same input value but different output value and the relation is not a function.
In this case, we can see that this does not happen, and then we can conclude that the graph represents a function.
If Dede uses 10 cups of yellow paint, how much blue paint should she use to make this
same shade of green?
Answer:
10 cups
Step-by-step explanation:
Answer:
10 cups
Step-by-step explanation:
10 × 2 = 20
20÷2= 10
All of the following numbers are rational except _____.
Answer:
D 1.44
Step-by-step explanation:
the answer is the last one 1.44
Answer:
√17
Step-by-step explanation:
√121 = 11
√25 = 5
√1.44 = 1.2
√17 is an irrational number/
please assist me with these multiple choice problems
9514 1404 393
Answer:
12. C
13. D
Step-by-step explanation:
12. For interest r on principal P compounded n times per year for t years, the account balance is ...
A = P(1 +r/n)^(nt)
For P=800, r=0.05, n=365, t=6, this becomes ...
A = 800(1 +0.05/365)^2190 . . . . matches choice C
Note: if you're familiar with the formula, you will notice choice C is the only one with 'n' in the right place.
__
13. The form of an exponential function is ...
y = a·b^x . . . . . . . . where 'a' is the initial value, and 'b' is the growth factor
The form of the equation eliminates choices A and B.
Here, the initial value is 1.87, eliminating choice C.
Matching the problem statement to the form of the exponential function we see that the equation of choice D is appropriate.
I need an Answer not a link.
Answer: C
Step-by-step explanation:
Plz tell me if i am wrong
Select the
outliar i the data set 1,64,66,68,69,70,78,79
Answer:
1 is the out liar
Step-by-step explanation:
This is because there is a huge gap between 1 and 64. The rest of the numbers are in a cluster.
You need to buy pizzas for a class party. You can buy 4 large
pizzas for $10.00, or 7 large pizzas for $19.25. Which is the better
buy?
Answer:
4 pizzas for 10
Step-by-step explanation:
Divide the prices by the number of pizzas and you will get the prices per pizza.
2.50$ per pizza for 4
2.75$ per pizza for 7
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/e/volume_with_fractions?modal=1
???? Do we go to that website to answer the question? I’m lost
please help me i font understand not alink please i need it now
9514 1404 393
Answer:
25 km/h
Step-by-step explanation:
The relation between speed, time, and distance is ...
speed = distance/time
distance = speed × time
__
The distance relation is used to find the distance on the first line of the table. The problem statement tells you all of the distances are the same.
The speed relation is used to find the speed on the remaining lines of the table. For the average speed, the total distance and total time are used in the computation.
The average speed is 25 km/h.
Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Select all statements that must be true.
Step-by-step explanation:
the third Statement is true, fourth statement is trueand the fifth statement is also true because basically we need to find linear scale factor
Options 2nd, 3rd and 4th are correct options.
What are similar objects?Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
Given that, Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
As we know, in similar objects, the ratio of corresponding sides are equal.
Therefore, AB/A'B' = BC/B'C' = CD/C'D' = AD/A'D'
Hence, Options 2nd, 3rd and 4th are correct options.
For more references on similarity, click;
https://brainly.com/question/26451866
#SPJ2
There are 900 students at a school. You receive two thirds of he votes for best student ever! About how many
votes would you expect to receive?
Answer:
~600 votes
Step-by-step explanation:
Notice how 900 is a multiple of 3. Multiplying by 2/3 is the same as saying as divide the total by 3, then multiply that result by 2. Thusly, 900/3=300 and 300*2=600. Therefore, you should expect around 600 votes.
If I helped, a brainliest would be greatly appreciated!
probability problem Plz help
f(x)=4x+2;g(x)=2x ; find f(g(4))
Answer:
f(g(4))=34
Step-by-step explanation:
g(x)=2x
g(4)=2(4)
=8
f(x)=4x+2
f(8)=4(8)+2
=32+2
=34
f(g(4))=34
If it takes 41 minuets for 9 people to paint 9 walls how many minuets will it take for 14 people to paint 14 walls
Answer:
considering the fact that each person paints 1 wall. as 9 person's paints 9 walls then we can say it takes 41 min to paint a wall by a person then
it would take 41 min to paint 14 wall by 14 person
Completed Attempt 1
2
x
4
6
9
10
This net will be folded to form a prism.
C.
A
B.
С
D
E
F
Which pairs of faces will be opposite one another when the prism is created? Check all that apply.
D and F
A and C
A and B
Answer:
A & C
B & E
D & F
Step-by-step explanation:
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