There are 70 ways to assign 4 runners from a group of 8 to run the legs of the race.
What is permutation and combination ?Permutation and combination are two fundamental concepts in mathematics that deal with counting and arranging objects.
According to given information :This is a combination problem. The formula for calculating the number of combinations of r items from a set of n items is:
nCr = n! / (r! * (n-r)!)
where n! represents the factorial of n, or the product of all positive integers up to and including n.
In this problem, we want to choose 4 runners from a group of 8, without regard to order. So we can use the combination formula as follows:
8C4 = 8! / (4! * (8-4)!)
= (8765) / (4321)
= 70
Therefore, there are 70 ways to assign 4 runners from a group of 8 to run the legs of the race.
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Suppose you're deciding where to order a Hawaiian pizza, and waiting time is a concern of yours. You're considering Krazy Karl's Pizza where the average waiting time is 64 minutes, with a standard deviation of 4. 5 minutes. Or, you might call Domino's Pizza where the average waiting time is 54. 6 minutes, with a standard deviation of 8. 1 minutes.
Z-score for a waiting time of
65 minutes at Krazy Karl's: 0. 222
61. 1 minutes at Domino's: 0. 802
1. How many standard deviations away from the average is a wait time of 71. 8 minutes from Krazy Karl's?
2. About 50% of wait times from Krazy Karl's are smaller than ___ minutes
3. About 95% of wait times for Krazy Karl's are approximately between __ minutes and __ minutes.
4. About 99. 7% of wait times for Domino's are approximately between___ minutes and ___ minutes.
5. How long would you have to wait for a Domino's pizza to be in the same percentile as a wait time of 74 minutes from Krazy Karl's? In other words, what wait time for Domino's is "equivalent" to a wait time of 74 minutes from Krazy Karl's?
6. How long would you have to wait for a Krazy Karl's pizza to be in the same percentile as a wait time of 54 minutes from Domino's? In other words, what wait time for Krazy Karl's is "equivalent" to a wait time of 54 minutes from Domino's?
Answer:
vydbskehhwbe
Step-by-step explanation:
bshhdvjebheunsns
The scale factor of two similar hexagons is 3:7. The area of the smaller hexagon is 18 m2. What is the volume of the larger hexagon?
42 m2
36 m2
98 m2
5832 m2
324 m2
The area of the hexagon is 98 sq. m and option 3 is the correct answer.
What is a hexagon?The closed polygonal form of a regular hexagon has six equal sides and six equal angles. Any regular polygon has equal sides and angles on all sides. Regular pentagons, for instance, have 5 equal sides, while regular octagons have 8 equal sides. When these requirements are not satisfied, polygons might resemble many other asymmetrical forms. A regular hexagon is formed when six equilateral triangles are placed side by side. The regular hexagon's area then increases to six times that of the identical triangle.
Given that,
The scale factor of two similar hexagons is 3:7.
The ratio of the area will thus be,
(3/7)^2 = 9/49.
For the area of the smaller hexagon as 18 we have:
9/49 = 18/A
(9/49)A = 18
Multiplying both sides by 49/9, we get:
A = 98 sq. m
The volume of the hexagon cannot be determined by the given information.
Hence, the area of the hexagon is 98 sq. m and option 3 is the correct answer.
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In triangle ABC, Angle C is a right angle. Find the value of the trig function. Find the Tan A if c=7√10 and a=21
Answer:
tan A= 8/15
draw triangle where A and B are legs and C is hypotenuse
A=8 and C=17, meaning that you need to find B by using Pythagorean theorem (a^2+b^2=c^2)
8^2+b^2=17^2
64+b^2=289
b^2=225
b=15
tan= opposite/adjacent
tan A=8/15
HELP PLS DUE IN FIVE MINS I NEED HELP STRESSING TIMES
The length of the diagonal is between 3 and 4; it is closer to 3.
What is a diagonal?In Mathematics, the diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.
In any rectangle, each of the two (2) opposite sides are equal and parallel and the two (2) diagonals are equal.
Based on the information provided about the diagonal, we have:
Diagonal = √18
Diagonal = √9 × √2
Diagonal = 3√2 units.
In conclusion, we can logically deduce that the diagonal is closer to 3 units.
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PLEAAAASEEEE HELPP!!!!!!!!!!! I WILL GIVE BRAINLIEST!!!!!!!!!!
1. The y-intercept of y = -3/2x - 4, is -4, which would be marked at y = -4 on the y-axis.
2. The slope (m) = 3; y-intercept (b) = -86;
The equation for the situation is: y = 3x - 86
3. Median of class A = 40; Median of class B = 8
The difference is: 32
What is the Y-intercept of a Linear Equation?In a linear equation, the y-intercept is the point at which the graph of the equation intersects the y-axis. It is the value of y when x is equal to zero.
1. The y-intercept of the equation, y = -3/2x - 4, is -4. This means the y-intercept on the graph would be at when y = -4 on the y-axis.
2. The slope (m) = unit rate = 3 degrees every hour
The starting value = y-intercept (b) of the situation = -86
To write an equation for the situation substitute m = 3 and b = -86 into y = mx + b:
y = 3x - 86
3. Median is the middle value of a data set, therefore:
Median of class A = 40
Median of class B = 8
The difference between the medians of the class = 40 - 8 = 32
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A car drives at a speed of 90km/h for 2 hours and 20 minutes. How far does the car drive
Answer: 210 ( it hope this is a best answer)
Step-by-step explanation:
2 hours and 20 minutes is 2 and a third hours. Multiply 90 by 2 and a third.
90 × 2.333
209.999
If you round to the nearest kilometer, the answer is 210 km
Question 2 of 10
Solve the inequality for x and identify the graph of its solution.
|x+3|< 2
Choose the answer that gives both the correct solution and the correct graph.
A. Solution: x < -5 or x>-1
411
O
-8 -7 -6 -5 -4 -3 -2 -1 0 12
B. Solution: x>-5 and x < -1
+
O11
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
OC. Solution: x>-5 and x < -1
O
-8-7-6 -5 -4 -3 -2 -1 0 1 2
OD. Solution: x < 1 or x>5
O
-2 -1 0 1 2 3
3
4
O
5 6 7 8
The solution of the inequality |x+3| < 2 is -5 < x < -1.
And the graph is given in the image below.
The correct option is C.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
To solve the inequality |x+3| < 2, we need to consider two cases:
Case 1: x+3 ≥ 0
In this case, the inequality simplifies to x+3 < 2, which gives us x < -1.
Case 2: x+3 < 0
In this case, the inequality simplifies to -(x+3) < 2, which gives us -x-3 < 2, or -x < 5, or x > -5.
Combining the results from both cases, we get the solution:
-5 < x < -1
To graph the solution, we draw an open circle at x=-3
(since the absolute value is less than 2, not less than or equal to), and shade the region between -5 and -1.
Therefore, the solution is -5 < x < -1.
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Which graph shows the solution to the inequality? x + 2 < -3 A) A B) B C) C D) D
Therefore , the solution of the given problem of inequality comes out to be the inequality x -5 is option B.
What does inequality imply in reality?Regardless of the equal symbol, a connection or group of numbers variables can be an inequality in mathematics. Equilibrium is always followed by equity. Inequality happens when ideals are still incompatible. Differences exist between inequality expression and fairness. We chose to utilize the most prevalent symbol because elements aren't always similar or comparable (). No mater how few or many variations there are, they can all be used to evaluate values.
Here,
Option B) B is the proper response.
We must isolate x on one side of the inequality in order to answer the inequality x + 2 -3. By taking 2 away from both edges, we arrive at:
=> x < -5
According to this inequality, x is any integer that is less than -5. Since x cannot equal -5,
we must create an open circle at this point on the number line and shade to the left of it to represent all the different values of x that could be used.
Looking at the available choices, we can see that the only graph that accurately depicts the inequality x -5 is option B) B.
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Match the cylinder in the left column with its surface area in the right column
Show work please!! I need this ASAP
The surface area of the cylinder is 502.4 in², 602.88 in² and 175.84 in² respectively
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.
The surface area of a cylinder is:
Surface area = 2πr(r + h)
where r is the radius and h is the height
1) r = 5 in., h = 11 in. and π = 3.14, hence:
Surface area = 2πr(r + h) = 2(3.14)(5)(5 + 11) = 502.4 in²
2) r = 6 in., h = 10 in. and π = 3.14, hence:
Surface area = 2πr(r + h) = 2(3.14)(6)(6 + 10) = 602.88 in²
3) r = 2 in., h = 12 in. and π = 3.14, hence:
Surface area = 2πr(r + h) = 2(3.14)(2)(2 + 12) = 175.84 in²
The surface area of the cylinder is 502.4 in², 602.88 in² and 175.84 in² respectively
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If you were counting by 4's, what are the next three numbers you would
count?
56, 60, 64, 68, ?, ?, ?...
OA. 72, 80, 88
OB. 76, 80, 84
C. 72, 76, 80
OD. 60, 64, 68
Answer: The answer would be C
Step-by-step explanation:
If we start from 56,60,64,68 and were adding 4 each time the next numbers would be 72,76,80
Find the other endpoint: if Q is the midpoint of segment PR, find the coordinates of R if point P is (11,-2) and point Q is (-2,3)
The coordinates of R are (-15, 8). The solution has been obtained by using Mid point formula.
What is Mid point formula?
The centre point of a straight line can be located using the midpoint formula. If we know the coordinates of the other endpoint and the midpoint, we can use the midpoint formula to obtain the coordinates of the endpoint as well.
We are given that Q is the midpoint of segment PR and point P is (11,-2) and point Q is (-2,3).
Let the coordinates of R be (x₂, y₂)
Using Mid point formula, we get
⇒Point Q = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
⇒(-2,3) = ((11 + x₂) / 2, (-2 + y₂) / 2)
So,
⇒-2 = (11 + x₂) / 2
⇒-4 = 11 + x₂
⇒x₂ = -15
Similarly,
⇒3 = (-2 + y₂) / 2
⇒6 = -2 + y₂
⇒y₂ = 8
Hence, the coordinates of R are (-15, 8).
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The circumference of the bike tire above is 82.268 inches.
What is the radius of the bike tire? (Use 3.14 for .)
A.
26.2 in
B.
13.1 in
C.
41.13 in
D.
258.32 in
Step-by-step explanation:
The circumference of the bike tire above is 82.268 inches.
What is the radius of the bike tire? (Use 3.14 for .)
A.
26.2 in
B.
13.1 in
C.
41.13 in
D.
258.32 in
Ps=the answer is B
Write an equation for the graph that passes through (1,7) and (3,3).
We can use the two-point form to find the equation of the line passing through the two given points:
y - y1 = ((y2 - y1)/(x2 - x1))(x - x1)
where (x1, y1) = (1, 7) and (x2, y2) = (3, 3).
Substituting the values, we get:
y - 7 = ((3 - 7)/(3 - 1))(x - 1)
Simplifying the equation, we get:
y - 7 = (-2/2)(x - 1)
y - 7 = -x + 1
Adding 7 to both sides, we get:
y = -x + 8
Therefore, the equation of the line passing through the points (1, 7) and (3, 3) is y = -x + 8.
Hope this helps <3
Please give me Brainliest :)
The motion of a pendulum swinging in the direction of motion of a car moving at a low, constant speed, can be modeled by \[ s=s(t)=0.04 \sin (2 t)+3 t \quad 0 \leq t \leq \pi \] where \( s \) is the d distance in meters and
t
is the time in seconds. Find the velocity
v
and acceleration
a
of the pendulum at time
t
. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
v(t)=
a(t)=
Find the velocity
v
at
t= 8
π
,t= 4
π
, and
t= 2
π
. (Use decimal notation. Give your answers to two decimal places, if needed.)
v( 8
π
)=
m/s
v( 4
π
)=
m/s
v( 2
π
)=
Find the acceleration
a
at
t= 8
π
,t= 4
π
, and
t= 2
π
. (Use decimal notation. Give your answers to two decimal places, if needed.) Find the acceleration
a
at
t= 8
π
,t= 4
π
, and
t= 2
π
. (Use decimal notation. Give your answers to two decimal places, if needed.)
a( 8
π
)=
a( 4
π
)=
a( 2
π
)=
m/s 2
Graph
s=s(t),v=v(t)
, and
a=a(t)
we can graph s=s(t),v=v(t), and a=a(t) by plotting the equations for s, v, and a as functions of t. The graph of s=s(t) is a sinusoidal curve with a linear trend. The graph of v=v(t) is a sinusoidal curve with a constant value. The graph of a=a(t) is a sinusoidal curve with a zero value.
The velocity v of the pendulum is the first derivative of the distance s with respect to time t. That is, \[ v=v(t)=\frac{ds}{dt} \] Similarly, the acceleration a of the pendulum is the first derivative of the velocity v with respect to time t. That is, \[ a=a(t)=\frac{dv}{dt} \] We can find the velocity v and acceleration a by taking the derivatives of the given equation for the distance s. \[ s=s(t)=0.04 \sin (2 t)+3 t \] The first derivative of s with respect to t is \[ v=v(t)=\frac{ds}{dt}=0.08 \cos (2 t)+3 \] The second derivative of s with respect to t is \[ a=a(t)=\frac{dv}{dt}=-0.16 \sin (2 t) \] Now, we can find the velocity v and acceleration a at the given times t= 8π ,t= 4π , and t= 2π by plugging in the values of t into the equations for v and a. \[ v( 8π )=0.08 \cos (2( 8π ))+3=3 \quad \text{m/s} \] \[ v( 4π )=0.08 \cos (2( 4π ))+3=3 \quad \text{m/s} \] \[ v( 2π )=0.08 \cos (2( 2π ))+3=3 \quad \text{m/s} \] \[ a( 8π )=-0.16 \sin (2( 8π ))=0 \quad \text{m/s}^2 \] \[ a( 4π )=-0.16 \sin (2( 4π ))=0 \quad \text{m/s}^2 \] \[ a( 2π )=-0.16 \sin (2( 2π ))=0 \quad \text{m/s}^2 \] Finally, we can graph s=s(t),v=v(t), and a=a(t) by plotting the equations for s, v, and a as functions of t. The graph of s=s(t) is a sinusoidal curve with a linear trend. The graph of v=v(t) is a sinusoidal curve with a constant value. The graph of a=a(t) is a sinusoidal curve with a zero value.
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(1 point) The radius of the circle with a central angle of 6 radians that intercepts an arc with length 88 cm is _____ cm. The radius of the circle with a central angle of 120° that intercepts an arc with length 17 miles is_____ miles.
The radius of the first circle is 14.67 cm and the radius of the second circle is 8.11 miles.
The radius of a circle can be found by using the formula s = rθ, where s is the length of the arc, r is the radius, and θ is the central angle in radians. Rearranging the formula, we can find the radius by dividing the length of the arc by the central angle: r = s/θ.
For the first part of the question, we are given an arc length of 88 cm and a central angle of 6 radians. Plugging these values into the formula, we can find the radius:
r = 88 cm / 6 radians = 14.67 cm
For the second part of the question, we are given an arc length of 17 miles and a central angle of 120°. However, we need to convert the central angle from degrees to radians before plugging it into the formula. We can do this by multiplying the angle in degrees by π/180:
120° × π/180 = 2π/3 radians
Now we can plug the values into the formula to find the radius:
r = 17 miles / (2π/3) radians = 8.11 miles
So the radius of the first circle is 14.67 cm and the radius of the second circle is 8.11 miles.
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hey you can you stop and help me look at the picture pls and thx then can you answer pls
The line which is not transversal to LR would be Line TK.
How are parallel straight lines related?Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
Properties of Parallel Lines Cut by a Transversal
The corresponding angles are equal and the vertically opposite angles are equal.
The alternate interior angles are equal and the alternate exterior angles are equal.
Also, pair of interior angles on the same side of the transversal is supplementary.
Since we know that transversal is a line that intersects two or more other lines at different points.
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Line TK is not transversal to line LR.
What are parallel lines?Parallel lines are the lines that do not intersect or meet each other at any point in a plane. They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines. We can also say Parallel lines meet at infinity.
Given,
Line PR and KT are parallel
By the figure,
PR = LR
and KT = TK
PR || KT
∴ LR || TK
Hence, TK is the line, that is not the transversal line to LR.
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Solve Show all steps
(x^3/2)^6/5 =x^a
[tex](x^{3/2} )^{6/5}[/tex]
= [tex]x^{9/5}[/tex]
The value of a after solving through exponents = 9/5
What are exponents?The way of representing huge numbers in terms of powers is known as an exponent. The number of times a number has been multiplied by itself is the exponent, so to speak.
For instance, the result of multiplying the number 6 by itself four times is:
6 × 6 × 6 × 6. You can write this as
Now here,
[tex](x^{3/2} )^{6/5}[/tex]
= [tex]x^{9/5}[/tex]
Therefore, the value of a = 9/5.
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In this picture, the white ball _____________ its momentum to the red ball. fill in the blank.
The white ball is transferring its momentum to the red ball.
The missing blank is "transferring".
The statement "the white ball is transferring its momentum to the red ball" is based on the law of conservation of momentum.
According to this law, the total momentum of a closed system (in which no external forces act on the system) is conserved. This means that the momentum lost by one object in the system must be gained by another object in the system.
So we can conclude that, in the picture, the white ball and the red ball together form a closed system, and the collision between them causes the white ball to transfer some of its momentum to the red ball, in accordance with the law of conservation of momentum.
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Quadratic worded question
The owner of a fish shop bought x kilograms of salmon for $400 from the wholesale market. At the end of the day, all except for 2 kg of the fish were sold at a price per kg that was $10 more than what the owner paid at the market. From the sale of the fish, a total of $540 was made. Calculate how many kilograms of salmon the fish-shop owner bought at the market.
Answer: 23 kg
Step-by-step explanation:
Let's begin by using algebra to solve the problem.
Let x be the number of kilograms of salmon the fish-shop owner bought at the market.
We know that the total cost of the salmon was $400, so we can write:
400 = x * c
where c is the cost per kilogram of salmon.
We also know that all except for 2 kg of the fish were sold at a price per kg that was $10 more than what the owner paid at the market. So the price per kilogram of salmon at the fish shop was c + 10.
The total revenue from the sale of the fish was $540, so we can write:
540 = (x - 2) * (c + 10)
Now we can use these two equations to solve for x.
First, we can use the first equation to solve for c:
c = 400 / x
Then we can substitute this expression for c into the second equation:
540 = (x - 2) * (400/x + 10)
Simplifying this equation:
540 = 4000/x + 10x - 20 - 80/x
Multiplying both sides by x:
540x = 4000 + 10x^2 - 20x - 80
10x^2 - 20x - 4600 = 0
Dividing both sides by 10:
x^2 - 2x - 460 = 0
We can solve for x using the quadratic formula:
x = [2 ± sqrt(4 + 4*460)] / 2
x = [2 ± 44] / 2
Discarding the negative solution, we get:
x = (2 + 44) / 2
x = 23
Therefore, the fish-shop owner bought 23 kilograms of salmon at the market.
simplify the radical expression below 2/9.
The simplification of the radical expression √9. is 3.
What is radical expression?Radical expressions are simplified by taking them down to their most basic form and, if feasible, altogether deleting the radical. When a radical expression appears in the denominator of an algebraic expression, the radical expression is simplified by multiplying the numerator and denominator by the appropriate radical expression (for example, conjugate in the case of a binomial and the same radical in the case of a monomial).
The given expression is √9.
The given expression can be written as:
√(3)(3) = 3
Hence, the simplification of the radical expression √9. is 3.
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Compute the x and y coordinates for points on sine and cosine curves. Set up a subplot grid that has height 2 and width 1 and set the first such subplot as active. Plot the sine and cosine graphs. Hint: Use the plt.subplot() function
plt.plot(x, y_sine)
plt.plot(x, y_cosine)
To compute the x and y coordinates for points on sine and cosine curves, you need to use the trigonometric functions sine and cosine. To plot the sine and cosine graphs in the same figure, you need to create a subplot grid using the plt.subplot() function. This function takes in the number of rows, columns and the active plot you want to plot the graphs in.
To create a subplot grid that has height 2 and width 1 and set the first subplot as active, the code will look like this:
plt.subplot(2, 1, 1)
You can then plot the sine and cosine graphs by using the x and y coordinates calculated from the sine and cosine functions. The code for plotting the graphs will look like this:
plt.plot(x, y_sine)
plt.plot(x, y_cosine)
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the numbers 2.888... and 2.999... are both rational numbers. What is an irrational number the is between the two rational numbers?
2.8889........., 2.8890........, 2.8891...... etc is an irrational number the is between the two rational numbers.
What is a rational number, with an example?
Any number with the pattern p/q, where p and q are integers and q is not equal to 0, is a rational number. Rational numbers include, among others, 1/3, 2/4, 1/5, 9/3, and so forth.
A rational number is a number which is can be represented as the quotient of two numbers without having any remainder i.e., having remainder 0. For example 2.45, 2, 3 etc.
An irrational number has a non zero remainder and has a non terminating quotient. For example the numbers shown in the question 2.888...... and 2.999..... etc.
So the numbers between 2.888... and 2.999... are 2.8889........., 2.8890........, 2.8891...... etc
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I suck at math, so someone who is good at it please help me.
Alternate interior angles = ∠7 and ∠9.
Corresponding angles = ∠1 and ∠7
Vertical angles = ∠4 and ∠11
∠7 = 60°
∠8 = 120°
∠9 = 60°
How do angles work?When two lines meet, they intersect at an angle. By using the symbol, we may symbolise an angle.
Two lines meet at the common vertex of an angle, which has one common leg. A straight line's one side always has a total angle of 180 degrees. On the other hand, a point's surrounding angles are always added up to 360 degrees.
Here,
We can see that the Alternate interior angles = ∠7 and ∠9.
Corresponding angles = ∠1 and ∠7
Vertical angles = ∠4 and ∠11
Given, ∠1 = 60°
Now similarly, using the angles properties we can ind the rest of the angles.
∠7 = 60°
∠8 = 120°
∠9 = 60°
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is a 20% off coupon and a 10% off coupon the same thing as using a 30% off coupon
Answer: no
Step-by-step explanation:
Please asp 50 points and brainly
Answer:
A= 9/20 B= 45% C=0.45 d= 4.5% E= 3/8 F= 0.375 G= 37.5% H= 15.5% I = 0.8 j=80%
2+2+??= 4,000
helppppppppppppppppppppppp
Answer:
2 + 2 + ?? = 4,000
?? = 3996
Step-by-step explanation:
You're welcome.
Annabel sent 39 text messages to her brother during the last 13 days. How many text messages did she send her brother each day if she sent him the same number of text messages each day?
Answer: 3
Step-by-step explanation:
39 divided by 13 is equal to 3
there are 39 days, and if you divide it by how many days (13), you would get how many messages were sent each day which is 3
Well It’s Really Simple You’ve Could Have A Calculator. 52 Fifty- Two
Quadratic Functions:
Evaluate the function fx= -4x2+6x-1 to find
f-1
Using the same function, when is fx=0
For function fx= -4x2+6x-1
f(-1) = -11 fx=0 when x = (3+√5)/4 and x = (3-√5)/4.To find f(-1), we need to plug in -1 for x in the function and simplify:
f(-1) = -4(-1)2+6(-1)-1
f(-1) = -4+(-6)-1
f(-1) = -11
To find when fx=0, we need to set the function equal to 0 and solve for x: -4x2+6x-1=0
We can use the quadratic formula to solve for x:
x = (-b ± √(b2-4ac))/(2a)
x = (-(6) ± √((6)2-4(-4)(-1)))/(2(-4))
x = (-6 ± √(36-16))/(-8)
x = (-6 ± √20)/(-8)
x = (-6 ± 2√5)/(-8)
x = (3 ± √5)/4
So, the two values of x that make fx=0 are (3+√5)/4 and (3-√5)/4.
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Reference Library. 40. In a standard deck of 52 cards, what is the probability of drawing a King (4 cards ), a Queen ( 4 cards ), or a Jack ( 4 cards )?
The probability of drawing a King, Queen, or Jack from a standard deck of 52 cards is 3/13.
The probability of drawing a King, Queen, or Jack in a standard deck of 52 cards can be calculated by using the formula for the probability of an event happening: P(E) = number of favorable outcomes / total number of possible outcomes.
In this case, the number of favorable outcomes is the total number of Kings, Queens, and Jacks in the deck, which is 4 + 4 + 4 = 12. The total number of possible outcomes is the total number of cards in the deck, which is 52.
So, the probability of drawing a King, Queen, or Jack is:
P(E) = 12 / 52
Simplifying this fraction gives us:
P(E) = 3 / 13
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a ice cream truck driver figured out that the number of ratio of vanilla to chocolate ice cream cones sold was 5 to 2 if 125 vanilla cones were sold how many chocolate cones were sold?
Answer: 50 chocolate cones
Step-by-step explanation: if 5 is 125 vanilla then 125/5= 25 so every 1=25 and that means 2*25= 50
Answer:
50. There were 50 chocolate cones sold.
Step-by-step explanation:
so we do it like this: see the attachment for the work i did to solve
*Baige=Vanilla*
*brown=chocolate*
when you cross multiply you get 50