Which of the following describes a simple event?
A. Rolling a die and tossing a coin
B. drawing a card from a deck of cards and rolling a die
C. spinning a spinner
D. tossing a coin 3 times
Option D is correct, tossing a coin 3 times is a simple event.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
A simple event is a single outcome or result of an experiment or probability experiment.
In option D, the simple event is tossing a coin once and getting either a heads or a tails.
Since the event is repeated three times, there are a total of 8 possible outcomes (HHH, HHT, HTH, THH, TTH, THT, HTT, TTT).
However, each of these outcomes is made up of three simple events, which are the individual tosses of the coin.
In options A and B, there are multiple events happening, each of which has multiple possible outcomes, so they do not describe a simple event. In option C, there is only one event happening, but there are multiple possible outcomes of that event, so it also does not describe a simple event.
Hence, Option D is correct, tossing a coin 3 times is a simple event.
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Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet.
1) 6 feet
2) 16 feet
3) 12 feet
4) 4 feet
Step-by-step explanation:
Volume of square pyramid
= (Base length)² * (Height/3).
Therefore we have 8 = 2² * (h/3).
=> 8 = 4 * (h/3), h/3 = 2, h = 6.
Hence the height is 6 feet. (1)
Cilia are very thin, hair-like projections from cells. They are 2.0 × 10–4
millimeters wide. What is the maximum number of cilia that would fit
side by side—without overlapping—across a microscope slide that is 25
millimeters wide? Write the answer in scientific notation.
A. 8.0 × 10–6
B. 1.25 × 10–3
C. 8.0 × 102
D. 1.25 × 105
C.8.0×102
that is my answer#study well:-)do this worksheet if someone do I will make him or her brainly if correct
Answer:
1. 19/100
2. 3/10
3. 80%
4. 85%
5. 3/20
Please help mee like pretty please
answer
The 3 lb bag of cat food would last for 4 weeks.
Step-by-step explanation:
x^2+5x-6 how do i factor this
Answer:
Step-by-step explanation:
you have to use the quadratic equation,
and we will get 2 roots,
x=1 and x=-6
(x-1)(x+6)
Write each phrase as an expression. A number more than -13
Answer:
-13+n
Step-by-step explanation:
n stands for a number
Find the value of the power by completing the statements.
94
The base is
.
The exponent is
.
Its expanded form is
.
The value of 94 is
.
Answer:
Step-by-step explanation:
The base is 9
The exponent is 4
The expanded form is 9x9x9x9
The value of 9 to the fourth is 6,561
Answer:
The base is ✔ 9
The exponent is ✔ 4
Its expanded form is ✔ 9 x 9 x 9 x 9
The value of 94 is ✔ 6,561
Step-by-step explanation: Got it right on Edge.
Consider the line y = 7x-3.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
Gradient of parallel line= 7
Gradient of perpendicular line [tex] = - \frac{1}{7} [/tex]
Step-by-step explanation:
The equation of the line is already in slope-intercept form (y= mx +c). This means that the coefficient of x is the gradient and the constant -3 is the y-intercept of the line.
y= 7x -3
Gradient= 7
Parallel lines have the same gradient.
Thus, the slope of the line parallel to this line is also 7.
The product of the gradients of 2 perpendicular lines is -1.
(Gradient of perpendicular line)(7)= -1
Gradient of perpendicular line
= -1 ÷7
[tex] = - \frac{1}{7} [/tex]
Hello! :)
Parallel lines have the same slope.
If one line has a slope of 7, then the line parallel to it has a slope of 7 as well.
Now, perpendicular lines have slopes that are opposite reciprocals. It means we take the slope of one line, make it negative, and flop it over:
[tex]7\\-7\\-\frac{1}{7}[/tex]
Hope it helps. Feel free to ask me if you have any questions.
~A determined teen
[tex]MagicalNature[/tex]
At 1:00 P.M, you have 24 megabytes of a movie. At 1:15 P.M, you have 96 megabytes. What is the download rate in megabytes per minute?
A) 96 MB per minute
B) 4 MB per minute
C) 8.0 MB per minute
D) 4.8 MB per minute
9514 1404 393
Answer:
D) 4.8 MB per minute
Step-by-step explanation:
In the 15 minutes between 1 pm and 1:15 pm, the number of megabytes downloaded was 96 -24 = 72. The rate of download is ...
(72 MB)/(15 min) = 4.8 MB/min
PLEASEEEEEE HELPPPPPPP
What types of jobs were Deaf people frequently hired for during the wars?
health care
part time
construction
factory
Answer:
Factory
Step-by-step explanation:
Answer:
factory
Step-by-step explanation:
NEEED HELP QUICK PLS PLS pls pls pls .
Answer:
step 4 is correct because h-¹(x)=2x+5
You answer,I give brainleist
Answer:
48 centimeters by 27 centimeters
Step-by-step explanation:
we need the ratio of 16:9
option a) 48:27 ( divide by 3 each side) --> 16:9
What would the function be for the following statement:
"y is 3 more than half of x"?
Answer:
0
Step-by-step explanation:
2. 124 2. 1
tell what theroem you used in each class
Answer:
Vertical Angles Theorem
Step-by-step explanation:
I'm not sure what you're asking because 2. 124 2. 1 doesn't make mathematical sense, but if angle 1=angle 2, you use the vertical angles theorem.
Graph the solution set to this inequality 3x -12 >_ 7x+4
Answer:
x [tex]\leq[/tex] -4
Step-by-step explanation:
1. 3x-12 [tex]\geq[/tex] 7x+4
add 12 to 12 to cancel it out, add 12 to 4.
2. 3x [tex]\geq[/tex] 7x+16
subtract 7x from 7x to cancel it out, subtract 7x from 3x.
3. -4x [tex]\geq[/tex] 16
divide -4 from -4x to cancel it out, divide -4 from 16.
4. x [tex]\geq[/tex] -4
since division was involved, the inequality symbol needs to be reversed.
ANSWER: x [tex]\leq[/tex] -4
Which equation could be represented by the number line?
O A. 3+(-1) = 2
B. -3+4 = 1
C. -1+(-3) = -4
O D. 1 + 3 = 4
Answer:
id say D
Step-by-step explanation:
Think about it. It moves over tree times from the first spot. so D is most reasonable.
Heather is a cashier. She can ring up 121 customers in 9 minutes.
At this rate, how many minutes does it take her to ring up 4 customers
Answer:
In four minutes Heather can ring up 52 maybe even 53 customers.
Step-by-step explanation:
To find this answer you would have to find how many customers Heather can rind up in one minute. To do this you can do 121 divided by 9 which equals about 13 so you can use 13. And then you would do 13 times 4 because that's how many minutes the question is asking for, and your answer would be about 52, so your answer is about 52 close to 53, you might not get an exact answer for a problem like this. :)
Find the 43rd term in the sequence: -6, -3, 0,...
Answer: 129
Step-by-step explanation: 43•3=129
Which statement is false?
1) All points with an x-value of 3 are located in Quadrant I.
2) There is only one point on the coordinate plane that is on both the x- and y-axes.
3) All points with an x-value of 0 are located on the y-axis.
4) There is only one point on the coordinate plane with an x-value of 2 and a y-value of 2.
Answer:Choice A) All points with an x-value of 3 are located in Quadrant I.
We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.
We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.
Marking brainiest
Jessica melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa
What is the concentration of cocoa in the resulting mixture?
Answer:
45%
Step-by-step explanation:
200g milk chocolate
200g dark chocolate
= 400g of chocolate
x = the %
x/100 = 180/400
18000 = 400x
x = 45
45%
the rate of change of sales tax on trousers is 10% one can buy a pair of trousers at$660. What is the marked price?
Step-by-step explanation:
Total price = Marked price + Sales tax
= Marked price + (0.1 * Marked price)
= 1.1 * Marked price.
Since the total price is $660, the marked price is $660 / 1.1 = $600.
Is 3/2 less than greater than equal than 1
Answer:
greater than
Step-by-step explanation:
2/2 = 1
3/2 = 1 1/2
Use order of operations to solve:
14+15(5)-2^2
Answer: 95
Step-by-step explanation:
follow the order of operations P.E.M.D.A.S
First multiply 15 with 5 and you get 75. Next, 14+75=99
now for the last part 2^2 is 4
99-4=95
if it’s not 95 it’s 85
2.1-10. suppose there are 3 defective items in a lot (collection) of 50 items. a sample of size 10 is taken at random and without replacement. let x denote the number of defective items in the sample. find the probability that the sample contains (a) exactly one defective item. (b) at most one defective item.
Answer:
a) 0.398 = 39.8% probability that the sample contains exactly one defective item.
b) 0.9021 = 90.21% probability that the sample contains at most one defective item.
Step-by-step explanation:
The itens are chosen without replacement, so we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Suppose there are 3 defective items in a lot (collection) of 50 items
This means that [tex]k = 3, N = 50[/tex]
Sample of 10
This means that [tex]n = 10[/tex]
(a) exactly one defective item.
This is P(X = 1). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 1) = h(1,50,10,3) = \frac{C_{3,1}*C_{47,9}}{C_{50,10}} = 0.398[/tex]
0.398 = 39.8% probability that the sample contains exactly one defective item.
(b) at most one defective item.
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]. So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,50,10,3) = \frac{C_{3,0}*C_{47,10}}{C_{50,10}} = 0.5041[/tex]
[tex]P(X = 1) = h(1,50,10,3) = \frac{C_{3,1}*C_{47,9}}{C_{50,10}} = 0.398[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5041 + 0.398 = 0.9021[/tex]
0.9021 = 90.21% probability that the sample contains at most one defective item.
Select the correct answer.
g
If g = 8, what is the value of the expression 2+3?
?
ОА. В
O B. (11)
OC. 7
O D.
19
Answer:
A. 8/5
Step-by-step explanation:
first, you add the bottom and get 5 then you end up with 8 over 5 or answer choice A
Answer:
a
Step-by-step explanation:
g/2+3
g=8
8/2+3
2+3=5
g/2+3=8/5
Which of the following describes
how the graph of f(x) = x2 is
translated to the graph of
g(x) = (x + 8)27
A. left 8 units
B. right 8 units
C. up 8 units
D. down 8 units
The correct translation will be;
⇒ left 8 units
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
The function is,
⇒ f (x) = x²
And, The graph after translation is,
⇒ g (x) = (x + 8)²
Now,
Since, The graph after translation is,
⇒ g (x) = (x + 8)²
And, The function is,
⇒ f (x) = x²
So, We can say that the translation used is,
⇒ left 8 units.
Thus, The correct translation is;
⇒ left 8 units
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Is this graph and example of sun or cos graph?
subtract 9 from y, then subtract 8 from the result
Answer:
(y - 9) - 8
Step-by-step explanation:
Please help me with my homework!!!!
Answer:
-3.5
Step-by-step explanation:
Flip the equation so it's 0 - 3.5 which would give you -3.5
Answer:
- 3 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!