The total number of data values (games played) represented in the table is 14.
To determine the total number of data values (games played) represented in the frequency table, we need to sum up the frequencies for each category (number of goals scored).
The frequency represents the number of games in which a particular number of goals was scored.
Let's calculate the total number of games played by summing up the frequencies:
Total number of games played =
Frequency of 0 goals + Frequency of 1 goal + Frequency of 2 goals + Frequency of 3 goals + Frequency of 4 goals + Frequency of 7 goals + Frequency of 9 goals
Total number of games played = 1 + 3 + 2 + 4 + 2 + 1 + 1
Total number of games played = 14
We must add the frequencies for each category (number of goals scored) to get the total number of data values (games played) reflected in the frequency table.
The number of games with a specific amount of goals scored is the frequency.
Let's add up the frequencies to determine the total number of games played:
Total games played = Frequency of 0 goals, Frequency of 1, Frequency of 2, Frequency of 3, Frequency of 4, Frequency of 7, and Frequency of 9 goals.
Total games played: 1 plus 3 plus 2 plus 4 plus 2 plus 1 plus 1
14 games were played in total.
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Trapezoid ROCK is isosceles. Find m
Explanation:
Since this trapezoid is isosceles, the upper angles are congruent and the bottom angles are congruent:
\(\begin{gathered} \angle KCO\cong\angle\text{COR} \\ \angle CKR\cong\angle ORK \end{gathered}\)Therefore mAngles \(\begin{gathered} m\angle CKR=m\angle CKO+m\angle OKR \\ 120º=m\angle CKO+24º \\ m\angle CKO=120º-24º=96º \end{gathered}\)We have that angle OKR is 24º and angle ORK is 120º. The sum of the measures of the interior angles of a triangle is 180º:
\(\begin{gathered} m\angle OKR+m\angle ORK+m\angle ROK=180º \\ 24º+120º+m\angle ROK=180º \\ m\angle ROK=180º-24º-120º=36º \end{gathered}\)Angles ROC and KCO are congruent and by angle addition the measure of angle ROC is:
\(m\angle ROC=24º+36º=60º\)Answers:
• m,• m,• m
HELP ASAP PLS
a survey asked two age groups about the car color that they most preferred. the results are down in the table below. which car color eat most preferred by people ages 16-24 and what is the relative frequency within this age group?
A.) Blue, 71.4%
B.)Red, 60.6%
C.)Blue, 26.8%
D.)33.9%
Answer:
I believe that the answer is B.
Step-by-step explanation:
You can automatically elleminate A bc blue is not larger that red so it is down to C and D. C and D is to small of a percentage bc it would more than likely be one of the smaller numbers on there but red is the largest number in the chart.
So that is why my answer is B.
Please help.i tried these answers and it didn't work helpppppp pleaseeeeeeee I'll give you brainliestt!!!!!!
Answer:
try 19 gal & 5 qt or 0.5 qt
Step-by-step explanation:
i hope it works
Solve the following system using the elimination method. Enter your answer as anordered pair in the form (x, y) if there is one, unique solution. Enter All if there areinfinitely many solutions and enter None if there are no solutions.3x– 6y = -3-6x +12y = 6Please see the picture
Answer:
Given that,
\(\begin{gathered} 3x-6y=-3-----(1) \\ -6x+12y=6----(2) \end{gathered}\)Multiply the equation (1) by 2 we get,
\(6x-12y=-6----(3)\)Adding equation (3) and (2) we get,
\(0=0\)Since we get 0=0, it has infinitely many solution.Hence the system has infinitely many solution.
Answer is: All.
Helppp me plsssssss I need this hel me out
gerry's drawer has two black socks and 4 blue socks. if he selects two socks without looking what is the probability that both socks are black
Evaluate the expression.
e the function.
R
ƒ(x) = −x² – 10x + 16
Find f(-7)
Submit Answer
Answer
37
Step by Step explanation
replace x with -7
which gives
-(-7)^2-10(-7)+16
= 37
Two numbers are in the ratio 7:5. The smaller number is 16 less than the bigger number. What is the bigger number ?
Answer:
The bigger number is 56
Step-by-step explanation:
\(\frac{x}{y}\) = \(\frac{7}{5}\) cross multiply
5x = 7y
y = x -16 substage x-16 in the equation above for y
5x = 7( x - 16)
5x = 7x - 112 Subtract 7x from both sides
-2x = -112 Divide both sides by -2
x = 56
Check:
y = x - 16
y = 56 - 16
y = 40
5x = 7y
5(56) = 7(40)
280 = 28
y = x - 16
40 = 45-16
40 = 40
Given: A = {(0, 0), (2, 1), (3, 1.5),(4,2),...) Is A a function and why?
A. No, each set of ordered pairs in this list has the same range element.
B. Yes, there is more than one ordered pair in this list.
C. Yes, no two ordered pairs in this list has a repeat of the domain element.
D. No, there is a limited number of ordered pairs in this list.
Answer:
C. Yes, no two ordered pairs in this list has a repeat of the domain element.
Step-by-step explanation:
An equation that produces a set of ordered pairs defines a function, but it needs to be a proper function!
A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. Which means that answer C is correct.
Answer:
C. Yes, no two ordered pairs in this list has a repeat of the domain element.
Step-by-step explanation:
ODY 2022
Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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The diameter of the circle above is 12 cm. What is the circumference of the circle? (Use = 3.14.)
Answer:
37.68
Step-by-step explanation:
i had this one
Express 236% as a mixed number in simplest form
Answer:
2\(\frac{9}{25}\)
Step-by-step explanation:
The diameter of Jacob's circular tabletop is 6 feet. What is the area, in square feet, of Jacob's tabletop?
Answer:
approximately 28.26 square feet
Step-by-step explanation:
The formula for the area of a circle is A = pi(r)^2. So, the radius is half of the diameter, meaning it's 3 feet. Then we square it to get 9, and multiply by pi, or 3.14. This leads us to the approximated answer of 28.26 square feet.
The area is:
28.27 square feet
Work/explanation:
Since the tabletop is circular, we use the formula for a circle's area, which is: \(\bf{A=\pi r^2}\).
We have the diameter, and to find the radius, we divide the diameter by 2, which gives us 6 ÷ 2 = 3 feet, so the radius of the tabletop is 3 feet.
Now, here's a diagram for you;
\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 3\ ft}\end{picture}\)
Plug in the data:
\(\sf{A=\pi\times3^2}\)
\(\sf{A=\pi\times9}\)
\(\sf{A=28.27\:ft^2}\)
Hence, the area is 28.27 square feet.A news report suggested that an adult should drink a minimum of 4 pints of water per day.
Based on this report, determine the minimum amount of water an adult should drink,
in fluid ounces, per week.
9514 1404 393
Answer:
448
Step-by-step explanation:
(4 pt/da)×(7 da/wk)×(16 oz/pt) = 448 oz/wk
That would be 448 fluid ounces per week.
Neal invested $120,000 in stocks and bonds. He earned 18% on his stock investments and 12% on his bond investments. If Neal's combined profits on both types of investments were $17,400, how much did he invest in stocks?
Answer:
$50,000
Step-by-step explanation:
The given relations can be used to write and solve an equation for the amount invested in stocks.
SetupLet s represent the amount invested in stocks. Then (120,000-s) is the amount invested in bonds. The total earnings by the two investments were ...
0.18s +0.12(120,000 -s) = 17,400
SolutionSimplifying the equation, we have ...
0.06s +14,400 = 17,400
0.06s = 3000 . . . . . . . . . . subtract 14,400
s = 50,000 . . . . . . . . . . . . divide by 0.06
Neal invested $50,000 in stocks.
__
Additional comment
The amount invested in bonds was 70,000. The profit earned was ...
0.18(50,000) +0.12(70,000) = 9,000 +8,400 = 17,400
I need the answer so please help it is worth 88 points
Answer:
24
Step-by-step explanation:
If she did all 3of them today then you subtract a day from each one then it would look like this
5+4+15=24
What's the question? You can edit if you're on pc I think so you can add a picture or type it up. I'll also edit this so I can help u :)
the average length of an adult rough green snake is 5/6 yard. the length for an eastern garter snake is 4/6 yard. How much longer is the rough green snake then an eastern garter snake?
Answer:
6 inches
Step-by-step explanation:
let's turn that yard into inches.
12x3=36
so 36/6=6
so each1/6 is equal to 6 inches
5/6 - 4/6=1/6
1/6 = 6 inches
therefore, the adult rough green snake is 6 inches longer than the eastern garter snake
A new gaming chair costs $309.99. You have already saved $144.99 and earn $27.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.
27.5w − 144.99 = 309.99; w = 17
27.5 + 144.99w = 309.99; w = 6
27.5w − 309.99 = 144.99; w = 17
27.5w + 144.99 = 309.99; w = 6
The linear equation we need to solve is:
$27.50*w = $309.99 - $144.99
And the solution is w = 6.
How to write and solve the equation?
We know that the cost of the gaming chair is $309.99.
To buy this, you already have saved $144.99, and save another $27.50 per week, then the amount you have after w weeks is:
f(w) = $144.99 + $27.50*w
So the linear equation we need to solve is:
$144.99 + $27.50*w = $309.99
To solve this we need to isolate w.
$144.99 + $27.50*w = $309.99
$27.50*w = $309.99 - $144.99
w = ($309.99 - $144.99)/$27.50 = 6
So they can buy the chair after 6 weeks.
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Evaluate \frac{1}{4} \times 2 \frac{4}{5}
4
1
×2
5
4
.
Write the answer as a reduced fraction.
Use slash \left(/\right)(/) to separate numerator and denominator.
Answer:
Answer:
bro gave me a virus
Step-by-step explanation:
dont click the link
When does a negative exponent not move the base to the denominator
Answer:
If the base and the negative exponent is in the denominator already
Step-by-step explanation:
Normally, a base with a negative exponent moves to the denominator.
Example: (2^-3 = 1 / (2)^3 = 1/8)
However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.
Example: 2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54
The diameter of a circle is 3 miles. What is the area?
Answer:
Area = 7.065 square miles
Step-by-step explanation:
The diameter of a circle is the distance across the circle passing through its centre, and it is equal to twice the radius. Therefore, if the diameter of a circle is 3 miles, then the radius is 1.5 miles.
The formula for the area of a circle is \(A = \pi r^2\) (\(A = \pi \times r^{2}\))
\(A\) is the area \(r\) is the radius. The value of pi (\(\pi\)) is approximately 3.14, so we will use that value.Substituting the value of the radius into this formula, we get:
\(A = 3.14 \times 1.5^2\)\(A = 3.14 \times 2.25\)\(A = 7.065\)Therefore, the area of the circle is approximately 7.065 square miles.
________________________________________________________
The answer is:
A = 7.069 miles²
Work/explanation:
We have the diameter, but we need to find the radius. We can do that by diving the diameter by 2:
radius = diameter ÷ 2 = 3 ÷ 2 = 1.5 miles
Now we move on to the next step - the formula.
The formula is:
\(\sf{A=\pi r^2}\)
where:
A = areaπ = pir = radiusdiagram
\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\small 1.5\ miles}\end{picture}\)
Plug in the data
\(\sf{A=\pi \times 1.5^2}\)
\(\sf{A=\pi\times2.25}\)
\(\sf{A=7.069~miles^2}\)
Hence, this is the arearichard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost?
A. $3.25
B. $5.25
C. $7.75
D. $7.25
The cost for an order of 1 slice of cheese pizza and 3 soda is 5.25 dollars.
How to find the cost of soda and Pizza by forming equation?Richard bought 3 slices of cheese pizza and 2 sodas for $8.75.
Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50.
let
the cost of each cheese pizza = x
the cost of each soda = y
Therefore,
3x + 2y = 8.75
2x + 4y = 8.50
6x + 4y = 17.5
2x + 4y = 8.50
4x = 9
x = 9 / 4
x = 2.25
Therefore,
2(2.25) + 4y = 8.50
4.5 + 4y = 8.50
4y = 8.50 - 4.5
4y = 4
y = 4 / 4
y = 1
The cost of 1 slice of cheese pizza and 3 sodas is as follows:
2.25 + 1(3) = 3 + 2.25 = $5.25
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480 hours of work in 12 weeks
Write the rate and unit rate for each phrase given
Answer:
8/10
Step-by-step explanation:
that is the answer and how this works is 80 inches of snow over 10 days
Rate :
Unit Rate :
2) 3 comic books for 3 dollars
Rate :
Unit Rate :
3) 5 pounds of potatoes cost $10
Rate :
Unit Rate :
4) 20 chairs in 2 rows
Rate :
Unit Rate :
5) 63 peaches in 7 bowls
Rate :
Unit Rate :
480 hours of work in 12 weeks
8 inches of snow per day
10 days
80 inches of snow
Which of the following statements is true for a point in the first quadrant of the coordinate plane?
A. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units up from the origin and y units to the left.
B. To grab a point (x, y) in the first quadrant of the coordinate plane, move x units to the right of the origin and y units up.
C. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units to the left of the origin and y units up.
C. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units from the origins and Y units to the right.
D. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units up from the origin and y units to the right.
Answer:
Choice B: Start at the origin. Move \(x\) units to the right, and \(y\) units upwards.
Step-by-step explanation:
There are two axes on a typical Cartesian coordinate plane:
The horizontal \(x\)-axis, andThe vertical \(y\)-axis.Many diagrams of a Cartesian plane would have arrows on these two axis. Typically, there would be:
a rightward arrow \(\verb!->!\) on the right-hand side of the horizontal \(x\)-axis, andan upward arrow \(\uparrow\) at top of the vertical \(y\)-axis.The arrow on the \(x\)-axis pointing rightward suggests that as a point move to the right, the \(x\!\) coordinate of that point would increase. Conversely, it would be necessary to move points to the right so as to increase their \(\! x\)-coordinates.
On the other hand, the arrow pointing upwards on the \(y\)-axis indicate that as a point move upward, the \(y\!\) coordinate of that point would increase. With a similar logic, it would be necessary to move points upward to increase their \(\! y\)-coordinates.
Besides, the origin (the intersection of the two axis, unless otherwise specified) would corresponds to \((0,\, 0)\). (That is: \(x = 0\) and \(y = 0\).) If the origin \((0,\, 0)\!\) is the starting point, it would be necessary to increase the \(x\)-coordinate by \(x\!\) units (by moving rightward \(x\!\!\) units) and increase the the \(y\)-coordinate by \(y\!\) units (by moving upwards \(y\!\!\) units) so as to reach the point \((x,\, y)\).
A distributor has received an invoice of $13,190 dated April 12, terms 6/20, n/30 EOM, for a
shipment of coffee makers that arrived on May 25.
a) What is the last day for taking the cash discount?
b) How much is to be paid if the discount is taken? $
The last day for taking the cash discount is May 5 and discount is taken is: $12,398.6.
Cash discountSince the invoice was dated April 12, the last day for taking the cash discount is May 5.
Cash discount
Using this formula
Amount paid =Invoice amount × (1-rate)
Let plug in the formula
Amount paid=$13,190 ×(1-6%)
Amount paid=$13,190×0.94
Amount paid=$12,398.6
Therefore the last day for taking the cash discount is May 5 and the amount to be paid is: $12,398.6.
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The numbers 1000, 1001, 1002, 2000 are all in base 10. Rewrite all of the
numbers in base 5 and find the base 5 number whose digits have the least sum. What
is this number written in decimal notation?
Rewriting all numbers in base 5
1000 = 13000
1001 = 13001
1002 = 13002
2000 = 31000
The base 5 number whose digits have least sum are 13000 and 31000
The decimal notation of the numbers are 1000 and 2000
Define unit number.
The rightmost point in a number or the number one are both acceptable definitions of the word "unit" in mathematics. A unit can also be an item or a person that is seen as distinct and whole but is actually a component of a whole or group. An identification number for a unit in a declaration is referred to as a unit number.
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29. What is the BEST description of a constant rate of change?
A constant rate of change occurs when the change in two variables is contant over a period of time.
In this ,
Option A;
The number of stamps in a collection when the same number of stamps is added each month
This is correct because a constant rate will be obtained when the previous number of stamps in the collection is divided by the amount added.
Answer
A.
Can someone explain this equation to me? (#66)
66. For equation -1.48 = (x - 30)/4, the value of x is 24.08. 68. For equation 0.88 = 22,000.44/σ, the value of σ is 25,000.5.
Describe Equation?An equation is a mathematical statement that shows the equality between two expressions, using symbols and mathematical operations. An equation typically contains variables, which are symbols representing unknown values, and constants, which are known values. The variables can be solved for using algebraic methods to find their specific value(s) that make the equation true.
Equations can take many forms, depending on the mathematical context. For example, a linear equation has the form y = mx + b, where y and x are variables, m is the slope of the line, and b is the y-intercept. Quadratic equations have the form ax² + bx + c = 0, where a, b, and c are constants and x is the variable. There are many other types of equations, such as trigonometric equations, logarithmic equations, and differential equations, each with their own specific form and properties.
66. -1.48 = (x - 30)/4
To solve for x, we can begin by multiplying both sides by 4:
-1.48 * 4 = x - 30
-5.92 = x - 30
Next, we add 30 to both sides to isolate x:
-5.92 + 30 = x
x = 24.08
Therefore, the solution is x = 24.08.
68. 0.88 = 22,000.44/σ
To solve for σ, we can begin by multiplying both sides by σ:
0.88σ = 22,000.44
Next, we divide both sides by 0.88 to isolate σ:
σ = 22,000.44/0.88
σ = 25,000.5
Therefore, the solution is σ = 25,000.5.
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Solve for x:
8x - 3 = 5(2x + 1)
A. X=-4
B. x= -2
OC. x=1
D. x = 9
Help quick!!
Answer:
A. X= -4
Step-by-step explanation:
8x-3=5(2x+1)
8x-3=10×+5
-3=2×+5
-8=2x
x=-4
Answer:
A: x=-4
Step-by-step explanation:
8x - 3 = 5(2x + 1)
8x - 3 = 10x + 5
-3 = 2x + 5
-8 = 2x
x = -4