kevin's shoe size is 12.5, what is the z score of kevin's shoe size compared to the normal population
Answers
Z-score of Kevin's shoe size compared to the normal population is, 2.5.
How to find comparation of Kevin shoe size to normal population?
A z-score is the standardized score which gives an idea about how far the data point is from the mean. This is the formula for z-score is defined as follows, Z = X - μ /б.Here X is the raw score, μ is the mean, and б is the standard deviation.The distribution of shoe sizes for males is approximately normally distributed with a mean of 10 and a standard deviation of 1. And Kevin's shoe size is given to be 12.5.Then, Z= 12.5 - 10 / 1 (formula for z-score), and z result was 2.5.Thus, we can say 2.5 is Z-score of Kevin's shoe size compared to the normal population.Learn more about Z-score calculation here: brainly.com/question/29187588
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Related Questions
question in pic help me plz now
Answers
The width of a rectangle measures (4. 2v – 2. 6) centimeters, and its length
measures (1. 5v + 6. 7) centimeters. Which expression represents the perimeter, in
centimeters, of the rectangle?
Answers
add the two sides together, giving us 8.4v + 13.4, which is the perimeter of the rectangle in centimeters.
2(4.2v - 2.6) + 2(1.5v + 6.7) = 8.4v + 13.4
1. Multiply the width by two to get the two sides: 2(4.2v - 2.6)
2. Multiply the length by two to get the other two sides: 2(1.5v + 6.7)
3. Add the two sides together to get the perimeter: 8.4v + 13.4
To calculate the perimeter of the rectangle, we must first find the length of the two sides. To do this, we multiply the width by two, giving us 2(4.2v - 2.6). This gives us the length of the two sides opposite each other. We then multiply the length by two, giving us 2(1.5v + 6.7). This gives us the length of the other two sides. We then add the two sides together, giving us 8.4v + 13.4, which is the perimeter of the rectangle in centimeters.
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Let X
=
A
.
¯¯¯¯¯¯
B
C
. Evaluate X for
(a) A
=
1
,
B
=
0
,
C
=
1
, (b) A = B = C = 1 and ( c) A = B = C = 0.
Answers
The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.
To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.
(a) For A = 1, B = 0, and C = 1:
X = 1.¯¯¯¯¯¯01
To find the complement of BC, we replace B = 0 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001
(b) For A = B = C = 1:
X = 1.¯¯¯¯¯¯11
Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111
(c) For A = B = C = 0:
X = 0.¯¯¯¯¯¯00
Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:
X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000
In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.
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If w=3x 2
+2y+3z+cost and x−y=t, find the partial derivatives below. a. ( ∂y
∂w
) x,z
b. ( ∂y
∂w
) z,t
c. ( ∂z
∂w
) x,y
d. ( ∂z
∂w
) y,t
e. ( ∂t
∂w
) x,z
f. ( ∂t
∂w
) y,z
Answers
a. (∂y/∂w)ₓ, ẑ = 1/2 b. (∂y/∂w)z, t = 1/2 ,c. (∂z/∂w)ₓ, y = 1/3, d. (∂z/∂w)y, t = 1/3, e. (∂t/∂w)ₓ, ẑ = 1/-sin(t), f. (∂t/∂w)y, ẑ = 1/-sin(t). To find the partial derivatives, we'll need to differentiate the expression with respect to the given variables.
Let's calculate each derivative step by step:
a. To find (∂y/∂w)ₓ, ẑ, we need to differentiate the equation w = 3x² + 2y + 3z + cos(t) with respect to y, holding x and z constant.
Differentiating w with respect to y, we get: ∂w/∂y = 2
Therefore, (∂y/∂w)ₓ, ẑ = 1/(∂w/∂y) = 1/2.
b.To find (∂y/∂w)z, t, we need to differentiate the equation w = 3x² + 2y + 3z + cos(t) with respect to y, holding z and t constant.
Differentiating w with respect to y, we get:∂w/∂y = 2
Therefore, (∂y/∂w)z, t = 1/(∂w/∂y) = 1/2.
c. To find (∂z/∂w)ₓ, y, we need to differentiate the equation w = 3x² + 2y + 3z + cos(t) with respect to z, holding x and y constant.
Differentiating w with respect to z, we get: ∂w/∂z = 3
Therefore, (∂z/∂w)ₓ, y = 1/(∂w/∂z) = 1/3.
d. To find (∂z/∂w)y, t, we need to differentiate the equation w = 3x² + 2y + 3z + cos(t) with respect to z, holding y and t constant.
Differentiating w with respect to z, we get:∂w/∂z = 3
Therefore, (∂z/∂w)y, t = 1/(∂w/∂z) = 1/3.
e.To find (∂t/∂w)ₓ, ẑ, we need to differentiate the equation w = 3x² + 2y + 3z + cos(t) with respect to t, holding x and z constant.
Differentiating w with respect to t, we get:∂w/∂t = -sin(t)
Therefore, (∂t/∂w)ₓ, ẑ = 1/(∂w/∂t) = 1/-sin(t).
f. To find (∂t/∂w)y, ẑ, we need to differentiate the equation w = 3x² + 2y + 3z + cos(t) with respect to t, holding y and z constant.
Differentiating w with respect to t, we get: ∂w/∂t = -sin(t)
Therefore, (∂t/∂w)y, ẑ = 1/(∂w/∂t) = 1/-sin(t).
Please note that the partial derivatives of t with respect to w depend on the value of t, as indicated by the term -sin(t).
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In the figure, m ll n. If the measure of angle 8 is (4x +7) and the measure of angle 2 is 107 degrees, what is the value of x? Explain.
Answers
Given:
\(\begin{gathered} m\angle8=4x+7 \\ m\angle2=107 \end{gathered}\)\(\begin{gathered} 4x+7+107=180\degree \\ 4x+114=180 \\ 4x=180-114 \\ 4x=66 \\ x=16.5 \end{gathered}\)7.4{5[2 +16 ÷ (4× 2) − 3]− 4}− 24 =
Answers
Please help!!! I'm stuck on this question. Will mark brainliest.
Answers
what answer?
STEP BY STEP EQUATION:
A rich school has 48 players on the football team. The summary of the players' weight is even in the box plot. What is the median weight of the players 173 2016 240 TO 249 - 150 160 170 180 190 200 220 220 230 240 250 260 270 00 Wecht on pound Answer all Tables Keypad Keyboard Shortcuts pounds
Answers
The median weight of the players is 225 pounds.
To find the median weight of the players, we need to find the weight value that separates the 24th and 25th ordered weights. We can do this by looking at the box plot and determining the boundaries of the box, which contains the middle 50% of the data.
From the box plot, we can see that the box extends from 170 pounds to 250 pounds, so these are the weights that make up the middle 50% of the data. The median weight will be the weight that is in the middle of this range.
To find the median weight, we can take the average of the two middle values in this range. The two middle values are 220 and 230 pounds. So the median weight is:
(220 + 230) / 2 = 225 pounds
Therefore, the median weight of the players is 225 pounds.
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Express 48 as a product of its primes.
Answers
Answer:
2 x 2 x 2 x 2 x 3.
Step-by-step explanation:
The number 48 expressed as a product of its prime factors is 2 x 2 x 2 x 2 x 3.
Answer:
2 x 2 x 2 x 2 x 3.
Step-by-step explanation:
^^^
If i manage to save R80 every month,how long must i save to buy myself a new computer game at R499,95
Answers
The amount of money Rs 499,95 required 625 months ( approximately ) if every month Rs 80 saved by someone.
Amount of money saved every month is equal to Rs 80
Total amount of money to be save to buy a computer game = Rs 499,95
Amount of money saved in:
Rs 80 = 1 month
⇒ Rs 1 = ( 1 / 80 ) month
⇒ Rs 499,95 = ( 1 / 80 ) × 499,95 month
⇒ Rs 499,95 = 624.9375 months
⇒ Rs 499,95 = 625 months ( approximately )
⇒Rs 499,95 = 52 years 1 month
Therefore, number of months required to save money Rs 499,95 for new computer game is equal to 625 months ( approximately ).
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Three students were scheduled to give book reports in 1 hour.
After the first report, 2/3 hour remained (HINT: this means the first persons' report was 1/3 of an hour)
The next report took 1/6 hour. What fraction remained?
Answers
The fraction of hour that remained is 1/2 hour.
It is given in the question that three students were scheduled to give book reports in 1 hour.
After the first report, 2/3 hour remained. The next report took 1/6 hour.
We have to find the fraction of hour that remained.
We know that,
Total time for reports = time taken for first report + time taken for second report + time remained for third report
Hence, we can write,
Time taken for first report = 1-2/3 = 1/3 hour
Time taken for second report = 1/6 hour
1 = 1/3 + 1/6 + time remained for third report
1 = 2/6 + 1/6 + time remained for third report
1 = 3/6 + time remained for third report
1-3/6 = time remained for third report
3/6 = 1/2 = time remained for third report
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Hi can anyone help me with question 1 and 3
Answers
Answer:
hope its helpful to uh
PLEASE HELP!!!!!!!
The number -2 is a solution to which of the following inequalities?
A) -3 x 10
C) x + 7 > 5
D) x - 7 < -4
Answers
Answer:
D
Step-by-step explanation:
find the values of x and y in the parallelogram
Answers
The value of x is 4 and the value of y is 13 in the parallelogram.
What is a parallelogram?
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.
According to the properties of a parallelogram the opposing sides are equal and parallel.
AB = CD
So, the equation will be -
10 = y - 3
y = 10 + 3
y = 13
Now, another property of a parallelogram suggests that adjacent angles of a parallelogram equals 180°.
∠B + ∠C = 180°
So, the equation will be -
112° + ∠C = 180°
∠C = 180° - 112°
∠C = 68°
The opposite angles of a parallelogram are equal -
∠C = ∠A
So, the equation will be -
68° = 17x°
x = 68/17
x = 4
Therefore, the values of x and y are 13 and 4 respectively.
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5/6-1/9=?/?-?/? =13/18
Answers
Find the least common multiple of 6 and 9. The LCM is 18. In order to get 18 on the denominator with 6, you have to multiply by 3 because 6 times 3 is 18. You have to multiply 3 to the numerator, so 5 times 3 is 15. Thus, the first fraction is 15/18. To get the second, you need to find what would get you 18 on the denominator with 9. You need 2, so 9 times 2 is 18. You have to multiply 2 to the numerator, so 1 times 2 is 2. Thus, the second fraction is 2/18.
50 POINTS Giselle wants to buy the newest book in her favorite series. She has some money saved but does not want House all her savings on the book. Giselle’s grandma offers to pay some of the cost of the book for every weed she pulls in her grandma’s garden. The graph shows the cost to Giselle for the purchase of the book after pulling x weeds in her grandma’s garden.
Select True or False to describe each statement.
SELECT True or False
Answers
The following are the answer to each statement;
The book is $18 - TrueGiselle can earn up to $18 pulling weeds for her grandma - FalseGiselle's grandma pays her $1 for every 5 weeds she pulls - TrueGiselle does not have to use any of her own money towards the purchase of the book when she pulls 90 weeds - TrueGiselle only needs to pull 18 weeds to not use any of her own money - FalseHow to interpret graph?1. The book is $18
The statement is true because the beginning of the graph represents cost before she picks any weeds.2. Giselle can earn up to $18 pulling weeds for her grandma.
This is not true because the graph shows that she is still able to earn more money from picking weeds.3. Giselle's grandma pays her $1 for every 5 weeds she pulls
This is true because the price change from $18 to $17 is $1 for 0 weeds to 5 weeds.4. Giselle does not have to use any of her own money towards the purchase of the book when she pulls 90 weeds.
This is true because the amount earned for 90 weeds is equivalent to the money needed to buy the book.5. Giselle only needs to pull 18 weeds to not use any of her own money
Giselle will need to pull 90 weeds in order to not spend her own money. The statement is false.Read more on graph:
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Rewrite the following equation in standard form.
y = 3x + 9
Answers
3x-y=-9
Step-by-step explanation:
Answer: 3x - y = - 9
Step-by-step explanation:
Re-write the equation in the following form:
3x + 9 = y
Take the y to LHS:
3x + 9 - y = 0
Now, take the 9 to the RHS:
3x - y = -9. This is your answer.
At Sam’s Club you can buy 36 oz. Of Kool-Aid for $26. 62, and at Publix you can buy 28 oz. Of KoolAid for $22. 42. Which one is the better buy and by how much?
Answers
It is better to buy Kool-Aid from Sam's club and it is cheaper by $0.06 per oz.
What is division?
One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction. On a fundamental level, counting the instances in which one number is contained within another is one interpretation of the division of two natural numbers. It's not necessary for this number to be an integer. For instance, if 20 apples are distributed equally among 4 people, each person will get 5 of them.
Given,
At Sam's Club, one can buy kool-aid of 36 oz at $26.63;
36 oz = 26.62
1 oz = 26.62 / 36 = 0.74
Again,
At Publix, one can buy Kool-Aid of 28 oz at $ 22.42;
28 oz = 22.42
1 oz = 22.42 / 28 = 0.80
we can see that Sam's club is cheaper by 0.80-0.74 = $0.06
Hence, it is better to buy Kool-Aid from Sam's club and it is cheaper by $0.06 per oz.
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What is factor of every term
Answers
Answer:
1 is the common factor of every term
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The table shows the relationship between the number of calories Darrell Burns while kayaking and the number of minutes he kayaks
How many calories will Darrell burn in 1 minute while kayaking? Please I need help :(
Answers
The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:
4 calories.
How to obtain the number of calories?The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.
For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:
4 calories.
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4. Arquette is a caddy at the country club. He has no hourly wage. His only income is from tips. In a given week he was tipped by 12 golfers: $20, $15, $10, $15, $25, $10, $15, $22, $18, $15, $20, $20. What did he earn that week?
Answers
Answer:
$205
Step-by-step explanation:
20+15+10+15+25+10+15+22+18+15+20+20= 205
Find three consecutive even numbers such that five times the smallest number is equal to twice the sum of the other two number
Answers
Answer:
let the integers be n, n+2 and n+4
5(n+4) = 2(n + n+2) +42
5n +20 = 4n +4+42
n = 46 -20 = 26
Step-by-step explanation:
I think
two places are 270 miles apart in real life. on a map they are 4.5cm apart. what is the scale factor of this map?
Answers
Answer:
1cm = 60 miles
.5cm = 30 miles
Step-by-step explanation:
divide 270 by 4.5
A watch has a circular surface on a background that is a regular octagon. find the area of the octagon. then find the area of the silver border around the circular face
Answers
The area of the section described above is \(1.63cm^{2}\). The solution was arrived at by using the knowledge of the area of polygons.
What is the solution to the above question?To solve the above, one would need to first derive the area of the polygon, then derive the area of the inscribed circle.
The area of the circle will not be removed from the area of the polygon to find the area of the silver portion.
See the attached for the full solution.
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An initial investment of 500 compounds continuously at 5% interest ratebe the number of years that the money has been on deposit. Assuming no other deposits are made to the accountwhat will the balance in the account be after years?
Answers
A principal wishes to implement a decision that has to be a number between 0 and 1; that is, a decision d needs to be implemented where 0 sdS1. The difficulty for the principal is that she does not know what decision is appropriate given the current state of the economy, but she would like to implement a decision that exactly equals what is required given the state of the economy. In other words, if the economy is in state s (where 0 sS 1) the principal would like to implement a decision d s as the principal's utility Up (or loss from the maximum possible profit) is given by Up--s-d With such a utility function, maximising utility really means making the loss as small as possible. For simplicity, the two possible levels of s are 0.4 and 0.7, and each occurs with probability 0.5 There are two division managers A and B who each have their own biases. Manager A always wants a decision of 0.4 to be implemented, and incurs a disutility Ua that is increasing the further from 0.4 the decision d that is actually implement, specifically U-0.4-d.Similarly, Manager B always wants a decision of 0.7 to be implement, and incurs a disutility UB that is (linearly) increasing in the distance between 0.7 and the actually decision that is implemented - that is Ug--10.7 Each manager is completely informed, so that each of them knows exactly what the state of the economy s is (a) The principal can opt to centralise the decision but before making her decision given she does not know what the state of the economy is - she asks for recomm endation s from her two division mana gers. Centralisation means that the principal commits to implement a decision that is the average of the two recommendations she received from her managers. The recommendations are sent simultaneously and cannot be less than 0 or greater than 1 Assume that the state of the economy s = 0.7. What is the report (or recommendation) that Manager A will send if Manager B always truthfully reports s? (b) Again the principal is going to centralise the decision and will ask for a recommendation from both managers, as in the previous question. Now, however assume that both managers strategically make their recommendations. What are the recommendations rA and rB made by the Managers A and B, respectively, in a Nash equilibriunm
Answers
A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.
To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.
Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
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What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?
Group of answer choices
800 J/kgC
1200 J/kgC
300 J/kgC
450 J/kgC
Answers
Answer:
Step-by-step explanation:
800 J/kgC
What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?
it is 800 J/kgC
Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
6(1/2w -3/4)
Answers
This is the answer.
Answer:
Y= 3w-4.5
Step-by-step explanation:
I NEED HELP ASAP Identify the property used:
144x12=12x144
Answers
Answer: COMMUTATIVE PROPERTY OF MULITIPLICATION
Step-by-step explanation: the commutative property is when the numbers are basically swapped
Gl on your assignment :)
Assume the appropriate discount rate for the following cash flows is 9.89 percent per year. Year Cash Flow $2,200 2,600 4,800 5,400 4 What is the present value of the cash flows? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g, 32.16.)
Answers
The present value of the cash flows is approximately $11,754.04.
To calculate the present value of the cash flows, we need to discount each cash flow to its present value using the appropriate discount rate. The present value (PV) can be calculated using the formula:
PV = CF1 / (1 + r)^1 + CF2 / (1 + r)^2 + CF3 / (1 + r)^3 + ... + CFn / (1 + r)^n
where CF is the cash flow and r is the discount rate.
Using the given discount rate of 9.89 percent per year, we can calculate the present value as follows:
PV = 2,200 / (1 + 0.0989)^1 + 2,600 / (1 + 0.0989)^2 + 4,800 / (1 + 0.0989)^3 + 5,400 / (1 + 0.0989)^4
Calculating each term and summing them up:
PV = 2,200 / 1.0989 + 2,600 / 1.0989^2 + 4,800 / 1.0989^3 + 5,400 / 1.0989^4
PV ≈ 1,999.64 + 2,271.89 + 3,622.82 + 3,860.69
PV ≈ 11,754.04
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