Final answer:
Height is crucial for NBA players due to its impact on their performance. Z-scores help compare player heights to the average. Taller stature offers basketball players notable advantages.
Explanation:
Height is a critical factor for NBA players as it can significantly impact their performance, especially in areas like rebounding, shot-blocking, and scoring.
Z-score calculations help determine how a player's height compares to the average, with values above the mean indicating taller heights, which are advantageous in basketball.
Being taller provides NBA players with advantages in terms of reaching high for shots, blocking opponents, and having a better field of vision on the court.
Let x be a random variable giving the number of aces in a random draw of 4 cards from an ordinary deck of 52 cards. construct a table showing the probability distribution of x
The provided table outlines the probability distribution for drawing varying numbers of aces in a random draw of 4 cards from a standard 52-card deck, using combinatorial probability calculations.
Explanation:To answer your question, we need to consider the different possibilities for pulling aces in a draw of four cards. There are 4 aces in a standard deck of 52 cards, and here's a table showing the probability distribution for each outcome:
x = 0 - this represents no aces drawn. The number of ways to choose no aces from 4 aces and 4 non-aces from 48 non-aces is (4 choose 0)*(48 choose 4). So the probability P(X=0) = (comb(4, 0)*comb(48, 4))/comb(52,4)x = 1 - one ace is drawn. The probability P(X=1) = (comb(4, 1)*comb(48, 3))/comb(52,4).x = 2 - two aces are drawn. The probability P(X=2) = (comb(4, 2)*comb(48, 2))/comb(52,4).x = 3 - three aces are drawn. The probability P(X=3) = (comb(4, 3)*comb(48, 1))/comb(52,4).x = 4 - all four aces are drawn, and the probability P(X=4) = (comb(4, 4)*comb(48, 0))/comb(52,4).Please note that 'comb(a, b)' in this case represents 'a choose b', which is a way to compute combinations in probability.
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PLEASE HELP ME!!! NOT GOOD AT MATH.
A father is 60 years old and his son is half his age. How old was the boy when his father was four times his age?
A bridge hand is made up of 13 cards from a deck of 52. find the probability that a hand chosen at random contains at least 3 kings kings.
Final answer:
The probability that a bridge hand chosen at random contains at least 3 kings is 0.0000244.
Explanation:
To find the probability that a bridge hand chosen at random contains at least 3 kings, we need to first determine the total number of possible bridge hands and then calculate the number of favorable outcomes.
The total number of bridge hands is calculated using the combination formula: C(52, 13) = 52! / (13! * (52-13)!) = 635,013,559,600.
To calculate the number of favorable outcomes, we count the number of ways we can select 3 kings and then fill the remaining 10 positions with the remaining 39 cards. The number of ways to select 3 kings is C(4, 3) = 4 and the number of ways to fill the remaining 10 positions is C(48, 10) = 17,259,390.
Therefore, the probability is given by: P(At least 3 kings) = favorable outcomes / total outcomes = (4 * 17,259,390) / 635,013,559,600 = 0.0000244.
Solve the following system of equations.
7x -8y= -19
-2x +5y =0
x=
y=
A rectangle or shaped swimming pool has a perimeter of 104 feet and is 4 feet longer than 3 times its width. Find its dimensions.
the sum of two numbers is 70. the larger number is five less than twice the smaller number . what are the two numbers
Final answer:
To find the two numbers, we created a system of equations with the sum being 70 and the larger number as five less than twice the smaller number. Solving the equations, we found that the smaller number is 25 and the larger number is 45.
Explanation:
The question asks us to find two numbers where the sum is 70, and the larger number is five less than twice the smaller number. To solve this, we'll set up a system of equations with two variables, which we'll call x and y. The first equation would be x + y = 70, since their sum is 70. The second equation is derived from the statement that the larger number is five less than twice the smaller number, which can be expressed as y = 2x - 5. Now we substitute the second equation into the first to solve for x. We get x + (2x - 5) = 70. Simplifying, we have 3x - 5 = 70, thus 3x = 75, and therefore x = 25. With the smaller number found, we can determine the larger number using the second equation y = 2(25) - 5, resulting in y = 45. Hence, the two numbers are 25 and 45.
EASY 5 POINTS!!! This box has the same length, width, and height as the 2 basketballs. Which expression gives the volume of the empty space encircling the basketballs inside the box?
the upper left on TTM Trust
Children of age 3-6 years require 25% less sleep per day than infants, who need 16hours. How much slee do the 3-6 year olds need?
Write the equation of a circle with a center at (–7, –7) and a radius of 7
Final answer:
The equation of a circle with a center at (-7, -7) and a radius of 7 is [tex](x + 7)^2 + (y + 7)^2 = 49.[/tex]
Explanation:
The equation of a circle is typically expressed in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. For a circle with a center at (–7, –7) and a radius of 7, the equation would be (x + 7)² + (y + 7)² = 7². Here, we squared the radius to get 49, which gives us the final equation (x + 7)² + (y + 7)² = 49.
Harry rolls a number cube what is the probability that he will roll an even number or a number greater than four
Find the x and y intercepts of 10x-15y=30
The table shows the values of why are different values of X which equation shows the relationship between X and y
X y
0 0
1 7
2 14
3. 21
A team of 10 players is to be selected from a class of 6 girls and 7 boys. Match each scenario to its probability. You have to drag the sentences to match probabilities.
Possible probabilities are:
0.07
0.12
0.44
0.49
Options for answers are:
The probability that a randomly chosen team includes all 6 girls in the class.
The probability that a randomly chosen team has 3 girls and 7 boys.
The probability that a randomly chosen team has either 4 or 6 boys.
The probability that a randomly chosen team has 5 girls and 5 boys.
Answer:
0.07 -The probability that a randomly chosen team has 3 girls and 7 boys.
0.12 -The probability that a randomly chosen team includes all 6 girls in the class.
0.44 -The probability that a randomly chosen team has 5 girls and 5 boys.
0.49-The probability that a randomly chosen team has either 4 or 6 boys.
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When a team of 10 players is to be selected from a class of 6 girls and 7 boys the probability of each scenario occurring is:
0.07 = The probability that a randomly chosen team has 3 girls and 7 boys.
0.12 = The probability that a randomly chosen team includes all 6 girls in the class.
0.44 = The probability that a randomly chosen team has 5 girls and 5 boys.
0.49 = The probability that a randomly chosen team has either 4 or 6 boys.
What is probability?
In simple words, it refers to a numerical guess of how likely an event is to occur. Hence, when it comes to probability we believe there is no guarantee the event would occur.
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Elaine's jewelry box has a volume of 36 cubic centimeters. Which of the following could be the dimensions of Elaine's jewelry box? Choose all answers that apply: A 12 cm long, 12 cm wide, 12 cm high B. 4cm long, 4 cm wide, 2 cm high C 3 cm long, 4 cm wide, 3 cm high
Answer:
Option C is the correct answer.
Step-by-step explanation:
Volume of box = Length x width x height.
Volume of box = 36 cubic centimetres.
Option A:
Length = 12 cm
Width = 12 cm
Height = 12 cm
Volume = 12 x 12 x 12 = 1728 cubic centimetres.
Option A is wrong.
Option B:
Length = 4 cm
Width = 4 cm
Height = 2 cm
Volume = 4 x 4 x 2 = 32 cubic centimetres.
Option B is wrong.
Option C:
Length = 3 cm
Width = 4 cm
Height = 3 cm
Volume = 3 x 4 x 3 = 36 cubic centimetres.
Option C is correct.
Option C is the correct answer.
The quotient of 8.4x10^9 and a number n results in 5.6 x 10^27 What is the value of n?
Answer:
[tex]1.5\times 10^{-18}[/tex]
Step-by-step explanation:
We have been given that the quotient of [tex]8.4\times 10^9[/tex] and a number n results in [tex]5.6\times 10^{27}[/tex]
To find the value of n we will write our given information in an equation as:
[tex]\frac{8.4\times 10^9}{n}=5.6\times 10^{27}[/tex]
[tex]\frac{8.4\times 10^9}{5.6\times 10^{27}}=n[/tex]
Using quotient rule of exponents [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] we will get,
[tex]\frac{8.4\times 10^{9-27}}{5.6}=n[/tex]
[tex]\frac{8.4\times 10^{-18}}{5.6}=n[/tex]
[tex]1.5\times 10^{-18}=n[/tex]
Therefore, the value of n is [tex]1.5\times 10^{-18}[/tex].
The amount In a savings account increased from $300 to $309. What was the percent of increase?
Final answer:
The amount in the savings account increased by 3%. This was calculated by determining the amount of the increase ($9), dividing by the original amount ($300), and then multiplying by 100 to get the percent increase.
Explanation:
The question is asking to calculate the percent of increase in the amount of money in a savings account that went from $300 to $309. To determine the percent increase, you subtract the original amount ($300) from the new amount ($309) to find the amount of the increase, which is $9. Then, you divide the increase ($9) by the original amount ($300) and multiply by 100 to get the percentage:
Percent Increase = (Increase ÷ Original Amount) × 100%
Percentage Increase = ($9 ÷ $300) × 100% = 0.03 × 100% = 3%
Therefore, the percent of increase is 3%.
Where would we find the point (–10,0)? A. Quadrant III B. y-axis C. Quadrant II D. x-axis
What is the future value of $20 a week for 10 years at 6 percent interest? assume the first payment occurs at the end of this week?
If Ying Zyiyu covers the first 200 miles of a trip going 50mph. and the last hundred going 40mph, what was his average speed for the entire trip?
Answer:
46.15
Step-by-step explanation:
I do RSM :)
Canada has a population that is 1/10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your answer.
Answer:
Step-by-step explanation:
Let the American Population = x
1/10 x = 32,000,000 Multiply by sides by 10
x = 320,000,000 Thirty two followed by 7 zeros is the population of America.
Let x and y represent two real numbers. Write an algebraic expression to denote the quotient obtained when the product of the two numbers is divided by their sum.
An algebraic expression to denote the quotient obtained when the product of the two numbers is divided by their sum is (xy)/(x+y).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that let x and y represent two real numbers. The expression to denote the quotient obtained when the product of the two numbers is divided by their sum is written as,
E = (xy)/(x+y).
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What is the slope of a line that is perpendicular to the line whose equation is 0.5x−5y=9
To find the slope of a line perpendicular to the line defined by the equation 0.5x−5y=9, first convert the equation into slope-intercept form to determine the slope of the original line. The slope of the line perpendicular to this is its negative reciprocal. For this specific problem, the slope of the line perpendicular to the given line is -10.
Explanation:Firstly, rearrange the given equation, 0.5x−5y=9, into the slope-intercept format, i.e. y=mx+b. Here, 'm' is the slope of the line. To illustrate this rearrangement: 5y = 0.5x - 9, then divide through by 5 to get y = 0.1x - 1.8. Thus, the slope of the given line is 0.1.
Lines that are perpendicular to each other have slopes that are negative reciprocals of each other. In this case, the slope of the given line is 0.1, so the negative reciprocal (which represents the slope of the line perpendicular to this line) is -1/0.1, which equals -10. This is the slope of the line perpendicular to the given line.
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A new car dealer offered to sell her demonstrator model for 90% of the retail price. If the sale price was $9,750, what was the retail price?
90% = 9,750
9750/90 = 1%
1% = 108.3
100% = 10,833.3
original retail price = $10,833.30
Use cylindrical coordinates. find the volume of the solid that lies between the paraboloid z = x2 + y2 and the sphere x2 + y2 + z2 = 2
To find the volume of the solid that lies between the paraboloid z = x^2 + y^2 and the sphere x^2 + y^2 + z^2 = 2 using cylindrical coordinates, set up the integral for the volume by rewriting the sphere equation in cylindrical coordinates, determining the limits for r and z, and evaluating the integral.
Explanation:To find the volume of the solid that lies between the paraboloid z = x^2 + y^2 and the sphere x^2 + y^2 + z^2 = 2
We can rewrite the sphere equation in cylindrical coordinates as r^2 + z^2 = 2. The limits for r are from 0 to √(2-z^2), and for z, they are from 0 to √(2-r^2).
The volume can be found by integrating the constant 1 over the limits of r and z: V = ∭1 dz dr dθ. Evaluate this integral to find the volume of the solid.
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A photograph has a length that is 6 inches longer than its width, x. So its area is given by the expression x(x+6) square inches. If the area of the photograph is 112 square inches, what is the width of the photograph?
The width of the photograph is 8 inches
let
width of the photograph = x
length of the photograph = 6 + x
Area = x(6 + x)
112 = x(6 + x)
112 = 6x + x²
x² + 6x - 112 = 0
x² - 8x + 14x - 112 = 0
x(x - 8) + 14(x - 8) = 0
(x + 14)(x - 8)
x = -14 or 8
x = 8
x cannot be negative so we use only 8.
width of the photograph = 8 inches
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What is the quotient (3x4 – 4x2 + 8x – 1) ÷ (x – 2)?
Answer:
the quotient of this problem is 3x^3+6x^+8x+24+47/x-2
How do you work out a percentile rank of a score of 57
A mixture of
12%
disinfectant solution is to be made from
10%
and
17%
disinfectant solution. How much of each solution should be used if
28
gallons of the
12%
solution are needed?
Evaluate the given integral by making an appropriate change of variables, where r is the rectangle enclosed by the lines x - y = 0, x - y = 7, x + y = 0, and x + y = 6.