PLZ HELP NEED ANSWER ASAP! A sports club rewards teams based on overall points earned in a season. The data for points are shown in the table, where Low represents the fewest points scored and High represents the highest points scored by a single team member. Team Low High Range Mean Median IQR σ Team A 22 58 36 42.1 44 18.25 10.35 Team B 38 49 11 43.9 44.5 3.5 2.97 Team C 27 36 9 31.8 32 3.75 2.55 Part A: If the club wants to award the team that has the most consistent scoring among its team members, which team should it choose and why? Justify your answer mathematically. (5 points) Part B: If the club wants to award the team with the highest average score, which team should it choose and why? Justify your answer mathematically. (5 points)
How do I simplify this?
Shamus can paint the barn in 6 hours, and ishmael can paint the barn in 7 hours. how long will it take them to paint the barn together?
Which of the following represents the set of possible rational roots for the polynomial shown below 2x^3+5x^2-8x-20=0
The possible rational roots are given by the ratio of the constant term to the leading coefficient. That is [tex]\pm[/tex]1/1, [tex]\pm[/tex]1/2, [tex]\pm[/tex]1/5, [tex]\pm[/tex]1/10, [tex]\pm[/tex]1/20, and so on and this can be determined by using the arithmetic operations.
Given :
Polynomial Equation -- [tex]2x^3+5x^2-8x-20=0[/tex]
The following steps can be used in order to determine the rational roots of the given polynomial equation:
Step 1 - Write the given polynomial equation.
[tex]2x^3+5x^2-8x-20=0[/tex]
Step 2 - The coefficient of [tex]x^3[/tex] is 2. So the factors of 2 are [tex]\pm[/tex]1, [tex]\pm[/tex]2.
Step 3 - The constant term of the given polynomial is -20 and the factors of the constant term are [tex]\pm[/tex]1, [tex]\pm[/tex]2, [tex]\pm[/tex]5, [tex]\pm[/tex]10, [tex]\pm[/tex]20.
Step 4 - The rational roots are given by the ratio of the constant term to the leading coefficient. That is,
[tex]\pm[/tex]1/1, [tex]\pm[/tex]1/2, [tex]\pm[/tex]1/5, [tex]\pm[/tex]1/10, [tex]\pm[/tex]1/20, and so on.
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How to factor:
x^3-216=0
PLEASE HELP NEED ASAP! 10 PTS!
Solve each system by elimination.
1. -9x+2y= -1.
18x-7y=17
2. 4x+18y= -28
2x+9y= -14
3. 20x+y= -11
-10x-3y= -17
4. -3x+y=7
-6x+2y=12
Thank you!
how do you write 710,000 in scientific notation with answers
The scientific notation for 710,000 is [tex]7.1 \times 10^5[/tex].
Identify the significant digits:
In 710,000, the significant digits are “7.1”.
Determine the power of 10:
To convert 710,000 into a number between 1 and 10 times a power of 10, you notice that moving the decimal point 5 places to the left gives “7.1”.
This is because:
[tex]710,000 = 7.1 \times 100,000 = 7.1 \times 10^5[/tex]
Write the number in scientific notation:
Combine the significant digits with the power of 10.
[tex]7.1 \times 10^5[/tex].
What does exclamation point mean in math?
In mathematics, an exclamation point represents a factorial, meaning the product of an integer and all the positive integers below it. For example, 5 factorial, or 5!, is 5 x 4 x 3 x 2 x 1 = 120. Unlike exponentials, factorials involve consecutive multiplication of integers.
Explanation:In mathematics, the exclamation point is used to represent a factorial. Factorial indicates the product of an integer and all the positive integers below it. For instance, 5! would be 5 x 4 x 3 x 2 x 1 = 120. This calculation method is a significant concept especially in exponential arithmetic.
Contrary to exponential notation, factorials do not deal with the concept of powers or repeated multiplication of the same number. Instead, they focus on consecutive multiplication of descending positive integers. For example, 3! is evaluated as 3 x 2 x 1 = 6, instead of 3 x 3.
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The graph represents a person's heart rate in beats per minute during 30 minutes of exercise.
Which statement best describes the relationship between heart rate and time doing exercise?
Looking at the graph closely we can see that the heart rate increases from 0 to 6 min then became steady from 6 to 25 min then finally decreases from 25 to 30 min. Therefore the correct answer is:
“The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes.”
In real life cardiac exercises, we can interpret that the period from 0 to 6 min is the period where the person is still warming up thus leading to an increase in heart rate. At 6 min, the person is fully warmed up hence reaching a stable heart rate. Then at 25 min, the person starts cooling down which means that the exercise is ending soon.
George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and extends 12 inches beyond the edge of the pool. A rope runs along the edge of the cover to secure it in place.
a.
What is the area of the pool cover?
b.
What is the length of the rope?
Answer:
Given the data, the pool has a diameter of 20 feet, so, R=10ft.
The pool cover expands 12 inches beyond the pool, so, 12in.= 1 foot
Therefore, the radius of the pool cover will then be: 10+1= 11ft.
ANSWER A (pool cover)) r² π = 11² π = 121 π ft²
A.)= 121 π ft²
ANSWER B (rope)) l = 2 r π = 2 · 11 π = 22 π ft.
B.)= 22 π ft
Step-by-step explanation:
I got a 100% on it on founders edtell
A system of two equations is shown below: equation
c.a = 3b + 6 equation
d.a = 7b − 1 what value of a can be substituted into equation d to solve the system of equations? 3b 7b 3b + 6 7b − 1
The table shows the outputs y for different inputs x:
Input
(x) 2 4 6 8
Output
(y) 1 2 3 4
Part A: Do the data in this table represent a function? Justify your answer.
Part B: Compare the data in the table with the relation f(x) = 3x – 10. Which relation has a greater value when x = 8?
Part C: Using the relation in Part B, what is the value of x if f(x) = 80?
LeRon draws an orange counter from one bag and a red counter from another bag. Which statement is true?
What is 5.75% of $6,000? (Express answer as dollars as cents.)
Answer:
The answers are:
345 dollars
34500 cents
Step-by-step explanation:
In order to determine the answers, we have to know about the percentage notation. For any "x" value that is expressed as x%, it is the same that:
x%=[tex]\frac{x}{100}[/tex]
So, first we determine the value in dollars and then we determine the value in cents, where:
1 dollar=100 cents
In dollars $:
=5.75%*$6000
=[tex]\frac{5.75}{100}[/tex]*$6000
=$345.00
In cents c:
=5.75%*6000*100
=[tex]\frac{5.75}{100}[/tex]*6000*100
=34500.00 cents
a ratio is a rate, sometimes,never, or always?
Will give brainliest!
What is the x-coordinate at the point of intersection of y1= 2(5x + 3) and y2= x2 − 15? Consider only the positive value of x, and round the value to nearest hundredth.
Solution
The equation of two curves are
[tex]y_{1}=y=2 \times (5 x+3)\\\\y_{2}=y=x^2-15[/tex]
Equating the two curves that is y values, to find their point of Intersection
→ 2 × (5 x+3)=x²-15
→10 x +6=x²-15⇒⇒Used distributive property of multiplication with respect to addition
→x² -10 x -15 -6=0
→x² -10 x-21=0
For a Quadratic equation of the type
[tex]\rightarrow ax^2+b x +c=0\\\\x=\frac{-b \pm \sqrt{D}}{2 a}\\\\D=b^2-4ac[/tex]
Using discriminant method to solve the problem
[tex]x=\frac{-(-10)\pm\sqrt{(-10)^2-4 \times 1 \times (-21)}}{2 \times 1}\\\\x=\frac{10 \pm \sqrt{100+84}}{2}\\\\x=\frac{10 \pm \sqrt{184}}{2}\\\\x=5 \pm \sqrt{46}\\\\x_{1}=5+6.78\\\\x_{1}=11.78\\\\x_{2}=5-6.78\\\\x_{2}=-1.78[/tex]
The x coordinate of point of intersection are, 11.78 and -1.78.
Manuel and rita bought cds at the music store. rita's cds originally cost three times more than manuel's cds, but she received a $9 discount. if rita spent $21 total, which equation can be used to find the amount manuel spent
Answer with Step-by-step explanation:
Let cost of Manuel's cds=m
Rita's cds originally cost three times more than Manuel's cds, but she received a $9 discount.
i.e. Rita's cds cost=3m-9
Rita spent $21 total.
i.e. 3m-9=21
Adding 9 on both sides, we get
3m=30
Dividing both sides by 3, we get
m=10
Hence, equation which can be used to find the amount Manuel spent is:
3m-9=21
The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scale.) A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 9 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape. Which of the following options is closest to the distance (in miles) between points A and B? 6.71 miles 7.35 miles 8.66 miles 10.82 miles.
Answer:
6^2 + x^2 = 9^2
36 + x^2 = 81
81-36= 45
square root of 45 is approximately 6.71 miles
Step-by-step explanation:
Using the theram theroy is very important to know the fulma and steps
Conjectures and Postulates are accepted as true without formally proving they are true.
True or False
Answer:
False; only true for postulates!!!
Step-by-step explanation:
On BYU :)
True or False? The distribution whose five-number summary is shown below has at least one outlier. 21.7, 55.3, 73.4, 89.3, 142.2 A. True B. False
Answer:
True
Step-by-step explanation:
Apex approved
Answer:
this answer is true
Step-by-step explanation:
i say this because 142.2 is an outlier.
josianne had two difference offers (1) 12000 cash and (2) 8000 semiannually for 5 years. assuming 10% compounded semiannualy determine the better offer and find the difference between them
A fantasy board game makes use of four dice. The first is a standard 6-faced die, the second die has 4 faces, and the other two have 10 faces each. If all the dice are thrown together and their combination dictates a certain outcome of the game, how many possible outcomes exist?
Answer:
2400
Step-by-step explanation:
Given : The first is a standard 6-faced die, the second die has 4 faces, and the other two have 10 faces each.
To Find: If all the dice are thrown together and their combination dictates a certain outcome of the game, how many possible outcomes exist?
Solution:
No. of faces of first die = 6
No. of faces of second die = 4
No. of faces of third die = 10
No. of faces of fourth die = 10
Now we are supposed to find the the number of possible outcomes exist.
So, Number of possible outcomes if all the dice are thrown together :
= [tex]6 \times 4 \times 10 \times 10[/tex]
=[tex]2400[/tex]
Hence there are 2400 possible outcomes if all the dice are thrown together and their combination dictates a certain outcome of the game.
Suppose that some country had an adult population of about 50 million, a labor-force participation rate of 60 percent, and an unemployment rate of 5 percent. how many people were unemployed?
Based on the labor force participation rate, the number of unemployed people is 1.5 million people.
The unemployed rate is based on the labor force participation rate and not the adult population.
The labor force is 60% and in absolute value this is:
= 60% x 50 million people
= 30 million people
The unemployment rate is 5% of this:
= 5% x 30 million
= 1.5 million people
In conclusion, there are 1.5 million unemployed people
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Kwamee created a coffee blend for his cafe by mixing Kona beans and Fuji beans.Kona beans cost $11 per pound and Fuji beans cost $7.50 per pound.He bought a total of 23 pounds of coffee beans and it cost $197. Write a system of equations that can be used to determine how many pounds of Kona and Fuji beans Kwamee bought.
The Hamilton Brush Company issued 2500 shares of common stock worth 100,000,000 total.What is the par value of each share
Thirty pounds of a salt-water solution contains fifteen percent salt. How much salt is in the water?
1.5 lb
3 lb
4.5 lb
(I came up with 2 answers and I need someone with the same answer, the two options that I came up with is 1.5 lb. or 4.5lb.
"if the price of mints was raised from 5 cents each to 15 cents for two, what was the increase in price per mint?"
Answer:
Increase in price per mint is 2.5 cents .
Step-by-step explanation:
The price of mints is raised from 5 cents each to 15 cents for two.15 cents is the rice in price for two mints .Hence rise in price for each mint is 15÷2=7.2 cents.
Rise in price for each mint = 7.2-5=2.5cents.
Percent increase = [tex]\frac{2.5}{5} (100)=50[/tex]
There is 50% increase in price per mint.
The formula for the nth term of an arithmetic sequence can be found using the formula a(n)=a (1)+(n-1)d. Which of the following is equivalent to this equation?
a. n=a(n)
b. n=a(n)+a(1)-d/d
c. n=a(n)-a(1)
d. n=a(n)-a(1)+d/d
Answer:
D.
Step-by-step explanation:
:)
What is the measure of (arc) BC?
A. 55
B. 110
C. 48
D. 96
Answer:
(D)[tex]96^{\circ}=(arc)BC[/tex]
Step-by-step explanation:
It is given from the figure that m∠BAC=48° and arcAC=110°.
The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc.
Now, using the above property, we have
[tex]m{\angle}BAC={\frac{1}{2}}(arc)BC[/tex]
Substituting the given values, we get
[tex]48^{\circ}=\frac{1}{2}(arc)BC[/tex]
[tex]96^{\circ}=(arc)BC[/tex]
Thus, the measure of the arc BC is 96 degrees.
Hence, option D is correct.
Use the functions f(x) = 2x + 7 and g(x) = 6x − 5 to complete the function operations listed below.
Part A: Find (f + g)(x). Show your work. (3 points)
Part B: Find (f ⋅ g)(x). Show your work. (3 points)
Part C: Find f[g(x)]. Show your work. (4 points)
We are given the two functions:
f(x) = 2x + 7
g(x) = 6x – 5
Part A. Find (f + g)(x)
(f + g)(x) = f(x) + g(x)
(f + g)(x) = 2 x + 7 + 6 x – 5
(f + g)(x) = 8 x + 2
Part B. Find (f ⋅ g)(x)
(f ⋅ g)(x) = f(x) ⋅ g(x)
(f ⋅ g)(x) = (2 x + 7) (6 x – 5)
(f ⋅ g)(x) = 12 x^2 – 10 x + 42 x – 35
(f ⋅ g)(x) = 12 x^2 + 32 x – 35
Part C. Find f[g(x)]
f[g(x)] = 2 (6 x – 5) + 7
f[g(x)] = 12 x – 10 + 7
f[g(x)] = 12 x - 3