Answer:
00:00 in 12-hour clock time is equivalent to 12:00 midnight. It is the start of a new day and is the first minute of the 12-hour time cycle.
There are 6 acts in a talent show.
An acrobat, a dancer, a guitarist, a singer, a violinist, and a whistler.
A talent show host randomly schedules the 6 acts.
Compute the probability of each of the following events.
Event A: The acrobat is first, the singer is second, the violinist is third, and the whistler is fourth.
Event B: The first four acts are the whistler, the acrobat, the guitarist, and the dancer, In any order.
Write your answers as fractions in simplest form.
P(A) =
P (B) =
The probability of Event A is 1/360 and the probability of Event B is 1/15.
For Event A, we can calculate the probability by considering the order in which the acts are scheduled.
There are 6 acts, so there are 6 possible choices for the first act. After the first act is scheduled, there are 5 remaining acts, so there are 5 possible choices for the second act.
Similarly, there are 4 possible choices for the third act, and 3 possible choices for the fourth act.
Finally, there are 2 possible choices for the fifth act, and only 1 choice remains for the last act.
Therefore, the total number of possible ways to schedule all 6 acts is:
6 x 5 x 4 x 3 x 2 x 1 = 720
Since we are only interested in one specific order of the first four acts, we need to count the number of ways to schedule the remaining two acts after the first four have been scheduled in the desired order.
There are 2 remaining acts, so there are 2 possible choices for the fifth act.
Only one act remains for the last slot.
Therefore, the total number of ways to schedule all 6 acts such that the acrobat is first, the singer is second, the violinist is third, and the whistler is fourth is:
1 x 1 x 1 x 1 x 2 x 1 = 2
Thus, the probability of Event A is:
P(A) = 2/720 = 1/360
For Event B, we want to count the number of ways to schedule the first four acts as the whistler, the acrobat, the guitarist, and the dancer, in any order.
There are 4 acts, so there are 4 possible choices for the first act. After the first act is scheduled, there are 3 remaining acts, so there are 3 possible choices for the second act.
Similarly, there are 2 possible choices for the third act, and only one choice remains for the fourth act.
Therefore, the total number of possible ways to schedule the first four acts is:
4 x 3 x 2 x 1 = 24
Since we do not care about the order in which the last two acts are scheduled, we can simply choose any two acts from the remaining 2. There are 2 ways to do this.
Therefore, the total number of ways to schedule all 6 acts such that the first four acts are the whistler, the acrobat, the guitarist, and the dancer, in any order is:
24 x 2 = 48
Thus, the probability of Event B is:
P(B) = 48/720 = 1/15
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Kezang was 5 times as old as his son 10 years ago. After 8 years, Kezang will be twice as
old as his son. What are their present age
What is the surface area of this solid?
12m
A
B
C
D
10m
156,000 m²
900 m²
1,560 m²
760 m²
13m
10m
10m
In the diagram, m∠1=45° and m∠3=57.5°.
What is m∠4?
Enter your answer as a decimal in the box.
Check the picture below.
15.
Using the grid below. indicate what four points
could be the vertices of a square..
Need help quick first person gets that brain award
How to use Pascal’s triangle to find x^2 using the difference quotient formula
Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.
To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:
1. Write the second row of Pascal's triangle: 1, 1.
2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.
3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.
4. Apply the difference quotient formula: f(x + h) - f(x) / h.
5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.
6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.
7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.
8. Divide both terms in the numerator by h: 2x + h.
9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.
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1. **Graph y = 12x + 3 2. ** y = -3x + 4 y 9 T 구 8 16 5 다 2 1 19 18 454 - 6 3-2 1 6 a x 대 - 2 1 2 6 B 9 x 1 0 2 3 10 . -6. R bo 를
Answer:
Graphing the points we have;
Above is the graph of the given equation showing the derived points.
Explanation:
Given the equation;
\(y=|2x|+3\)To plot the graph we need to calculate the corresponding values of x and y at each point.
Let us calculate the values of y for x = -4,-2,0,2, and 4;
\(\begin{gathered} y=|2x|+3 \\ at\text{ x=-4;} \\ y=|2\times-4|+3 \\ y=8+3 \\ y=11 \\ (-4,11) \end{gathered}\)\(\begin{gathered} at\text{ x=-2} \\ y=|2\times-2|+3 \\ y=4+3 \\ y=7 \\ (-2,7) \end{gathered}\)\(\begin{gathered} at\text{ x=0;} \\ y=|2\times0|+3 \\ y=3 \\ (0,3) \end{gathered}\)\(\begin{gathered} at\text{ x=2;} \\ y=|2\times2|+3 \\ y=4+3 \\ y=7 \\ (2,7) \end{gathered}\)\(\begin{gathered} at\text{ x=4;} \\ y=|2\times4|+3 \\ y=8+3 \\ y=11 \\ (4,11) \end{gathered}\)Therefore, Graphing the points we have;
Above is the graph of the given equation showing the derived points.
Tony and Ricky spend a certain amount of money from their accounts each week at a pet shelter.
The table shows the relationship between the amount of money (y) remaining in Tony's account and the number of weeks (x):
Function 1:
Number of Weeks
(x) Amount Remaining (dollars)
(y)
1 30
2 24
3 18
4 12
The equation shows the relationship between the amount of money, y, remaining in Ricky's account and the number of weeks, x:
Function 2:
y = −7x + 30
Which statement states and explains which function shows a greater rate of change?
a. Function 1, because Tony spends $6 each week and Ricky spends −$7 each week
b. Function 2, because Ricky spends $7 each week and Tony spends $6 each week
c. Function 1, because Tony spends $18 each week and Ricky spends $23 each week
d. Function 2, because Ricky spends $30 each week and Tony spends $18 each week
Answer:
No its not a
Step-by-step explanation:
what is the answer because a is not right. I did the quiz and got it wrong
Answer:
it is answer b.
4/5a - 8 = a + 2 solve for a
Answer:
a=-50
Step-by-step explanation:
I’ll give BRAINLIEST if correct
Answer:
\(\huge\boxed{\sf Option \ 1}\)
Step-by-step explanation:
Linear expression:An expression in which all the terms are raised to their first power is known as a linear expression.Here, 6x + 6 is a linear expression since all the terms are raised to power 1 only.
\(\rule[225]{225}{2}\)
You buy a $75 ipod and get a 10% discount. What is the sale price?
Answer:
$67.50
Step-by-step explanation:
here you go
graph the parabola x=1/2(y-2)^2-4. find and graph the vertex, focus, directrix, and focal chord endpoints.
1. Find the graph of the parabola attached below
2. Vertex (-4, 2) Focus (-7/2, 2) Directrix (x = -9/2) Endpoints (-7/2, 1) (-7/2, 3)
How do we find the vertex, focus, directrix, and focal chord endpoints or the parabola?For the parabola, x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,
Vertex → (h, k)
In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴ vertex (-4, 2).
focus → (h, k) = (-4, 2); P = 1/2
Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.
∴ Focus is (-4 + p, 2)
(-4 + 1/2, 2) ⇒ (-7/2, 2)
directrix → x = d
Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.
∴ x = -4 - p ⇒ x = -4 - 1/2
x = 9/2
focal chord endpoints →
The focus of the parabola is (-7/2, 2).
The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.
Therefore, the endpoints of the focal chord are:
(-7/2, 3) and (-7/2, 1).
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work out the total surface area of this triangular prism 12cm by 5cm by 10cm by 13cm
To calculate the total surface area of a triangular prism, we need to find the area of each face and add them up.
The triangular faces have base 5cm and height 12cm, so each one has an area of:
(1/2) x 5cm x 12cm = 30cm²
There are two of these faces, so their combined area is:
2 x 30cm² = 60cm²
The rectangular faces have dimensions 5cm x 10cm and 5cm x 13cm, so their areas are:
5cm x 10cm = 50cm²
5cm x 13cm = 65cm²
Again, there are two of these faces, so their combined area is:
2 x (50cm² + 65cm²) = 230cm²
Finally, we add up the areas of all the faces to get the total surface area:
60cm² + 230cm² = 290cm²
Therefore, the total surface area of this triangular prism is 290cm².
1: CC> Chapter 2: Chapter 2 What You Learned Before > Section Exercises
4
Evaluate the expression when a = and b = 6.
12a +(b-a-4)= ☐
The expression 12a + (b - a - 4) when a = b = 6 is equivalent to 68
What is an equation?An equation is an expression that is used to show how numbers and variables are related using mathematical operators
Given the expression:
= 12a + (b - a - 4)
When a = b = 6, substituting:
= 12(6) + (6 - 6 - 4)
Simplifying:
72 + (-4)
= 72 - 4
= 68
The expression is equivalent to 68
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Can someone help plz
Answer:
X=27
Step-by-step explanation:
\( \frac{24}{32} = \frac{30}{40} = \frac{x}{36} \)
so x=27
\(12 {?}^{2} \)
Round 782,317.772 to the nearest whole number.
Nearest whole number will be 782318.
Nearest ones whole number is the first digit before the decimal point of a number.
For example nearest ones of 9.6 is equal to 10.
If the tenth digit (first number before decimal point) of the number is greater than or equal to 5 we round up and add 1 to ones of number, If the tenth digit of the number is less than 5 we remove the decimal part. Example:
124.6
The first number of right of decimal point is 6
6 is greater than 5, so we add 1.
Result = 125
Now given number is 782317.772
since the first digit after decimal is 7 which is greater than 5 thus the nearest whole number will be 782318.
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2. Write the absolute value of the following. a) | -6 -3 | . b) | 0 - 12 |.
Answer:
a)9. b) 12
Step-by-step explanation:
a) | -6 -3 | .
-6-3 = -9
|-9| =9
b) | 0 - 12 |.
0-12=-12
|-12|=12
I NEED HELP ASAP, I'LL GIVE BRAINLIST : Math
Answer:
8 quarts and 1 pint
Step-by-step explanation:
there are 2 pints in a quart and there is 19 pints so 8 times 2 equals 18 and one left over
Can anyone help me Me with my homework
Answer:
315÷7=45
Lemon 45×4=180
Shaq 45×3=135
to check your answer you'll say
180+135 which will give back the total amount of bracelets which is 315
So Lemon collected 180 bracelets
It was fun helping you do your homework
Merry Christmas and come and help me too
Which Statement is True?
Answer:
8.92 - 2.06 = 6.86
Step-by-step explanation:
Find the variance for the following data set: 88, 40, 10, 52, 33, 55, and 86.
Answer:
Variance s2 = 788.33333
Standard Deviation s = 28.077274
Count n = 7
Mean x¯¯¯ = 52
Sum of Squares SS = 4730
Step-by-step explanation:
What type of chart would best be used for continuous data?
Group of answer choices
Pareto chart
Histogram
Dot plot
Pie chart
Please help! What is the surface area of the cylinder with height 4 m and radius 8 m? Round your answer to the nearest thousandth.
Make sure to round please.
The surface area of the cylinder is 948m²
What is surface area of cylinder?The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;
SA = 2πr(r+h)
Where r is the radius of the base and h is the height of the cylinder.
r =8m
h = 4m
SA = 2 × 3.14 × 8 (8+4)
SA = 78.96 × 12
SA = 947.52 m²
to the nearest whole number
SA = 948 m²
therefore the surface area of the cylinder is 948 m²
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A
-2+
Which graph represents the
function y = tan x?
B
2T
2T
D
-2+1
21
4+
ㅠ
2T
2πT
The graph that represents the function y= tanx is Option A.
What is the description of the above function?The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.
It oscillates between positive and negative infinity, creating a wave- like pattern.
It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.
Thus, option A is the correct answer.
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select all numbers equivalent to -1 ?
Answer:
-1 / 0 + -1 and the list goes on
Step-by-step explanation:
Please help I am so so confused thank you all
y-(-9) = -6(x-(-4)), y = -6x-33
I need some help with this
If the rand dollar exchange rate is 10,50 to a dollar, what is the rand value of a T shirt costing 50 dollars
The ratio of the number of baskets made by Tony to the number of baskets made by Colin is 2 to 3. Tony made 10 baskets. How many baskets did Colin make?
Step-by-step explanation:
The ratio of the number of baskets made by Tony to the number of baskets made by Colin is 2 to 3
let the ratio be 2x and 3x
Tony made 10 baskets
so , 2x=10
x=5
3x =3×5=15
so , Collin made 15 baskets