MATHEMATICS HIGH SCHOOL

Which of the following represents the sample space for flipping two coins?A
{HH, TT}

B
{H, T}

C
{HH, HT, TH, TT}

D
{HH, HT, TT}

Answers

Answer 1
Answer:

C.  { HH, HT , TH, TT}

Step-by-step explanation:

Sample Space  of any event E is the set of all possible outcomes whenever  that event takes place.

Here, event E : Tossing 2 coins

Now, as we know, when an unbiased coin is tossed,

The total outcomes  = {Head, Tail}

So, when two coins are flipped, the total outcomes are  2 x 2  = 4.

Sample space   =  { Head Head, Head Tail, Tail Head, Tail Tail}

or, S  = { HH, HT , TH, TT}

Related Questions

What is the greatest common factor of 8m, 36m3, and 12? 4 8 4m 8m
From a list of ten books, how many groups of 4 books can be selected
How do I factor x^2+7×+6
A car salesperson earns a 18% commission on every car sold. The salesperson sells a car for $37,560. What is the commission?
Two sides of a triangle are 15 mm and 10 mm. The perimeter of the triangle is 35 mm. What's the third side?

Which function is a quadratic function?A) p(x) = 2x (x^2 + 6) + 1
B) m(x) = -4 (x + 3) -2
C) t(x) = -8x^2 (x^2 - 6) + 1
D) h(x) = 3x (x - 2) - 4

Answers

Answer:

D

Step-by-step explanation:

3x (x-2) - 4

3x²-6x-4

I hope it's helpful

The graph of y=√x is shifted 2 units up and 5 units left, Which equation represents the new graph?A. y=-√x+5) +2

B. y=-√x-2) +5

C. y=-√x+2) -5

D. y=-√x-5) +2

Answers

y = √(x + 5) + 2

Further explanation

Given:

The graph of y = √(x) is

  • shifted 2 units up, and
  • 5 units left.

Question:

Which equation represents the new graph?

The Process:

The translation is a form of transformation geometry.

Translation (or shifting): moving a graph on an analytic plane without changing its shape.

In general, given the graph of y = f(x) and v > 0, we obtain the graph of:  

  • \boxed{ \ y = f(x) + v \ } by shifting the graph of \boxed{ \ y = f(x) \ } upward v units.  
  • \boxed{ \ y = f(x) - v \ } by shifting the graph of \boxed{ \ y = f(x) \ } downward v units.  

That's the vertical shift, nowthe horizontal one. Given the graph of y = f(x) and h > 0, we obtain the graph of:  

  • \boxed{ \ y = f(x + h) \ } by shifting the graph of \boxed{ \ y = f(x) \ } to the left h units.  
  • \boxed{ \ y = f(x - h) \ } by shifting the graph of \boxed{ \ y = f(x) \ } to the right h units.

Therefore, the combination of vertical and horizontal shifts is as follows:  

\boxed{\boxed{ \ y = f(x \pm h) \pm v \ }}  

The plus or minus sign follows the direction of the shift, i.e., up-down or left-right.

- - - - - - - - - -

Let's solve the problem.

Initially, the graph of y = √(x) is shifted 2 units up.

\boxed{y = √(x) \rightarrow is \ shifted \ 2 \ units \ up \rightarrow \boxed{ \ y = √(x) + 2 \ }}

Followed by shifting 5 units left.

\boxed{y = √(x) + 2 \rightarrow is \ shifted \ 5 \ units \ left \rightarrow \boxed{ \ y = √(x + 5) + 2 \ }}

Thus, the equation that represents the new graph is\boxed{\boxed{ \ y = √(x + 5) + 2 \ }}

The answer is A.

Learn more

  1. Which phrase best describes the translation from the graph y = 2(x – 15)² + 3 to the graph of y = 2(x – 11)² + 3? brainly.com/question/1369568
  2. The similar problem of shifting brainly.com/question/2488474  
  3. What transformations change the graph of (f)x to the graph of g(x)? brainly.com/question/2415963

Keywords: the graph of, y = √x, shifted 2 units up, 5 units left, which, the equation, represents, the new graph, horizontal, vertical, transformation geometry, translation

Answer:

A. y=√(x+5)+2.

Step-by-step explanation:

We are given the function y=√(x).

Now, the function is shifted 2 units up and 5 units to the left.

That is, the function is translated 2 units up and 5 units to the left.

Since, we know,

Translation of 'k' units up changes the function f(x) to f(x)+k.

So, the function translated 2 units up is y=√(x)+2.

Translation of 'k' units to the left changes the function f(x) to f(x+k).

So, the new function translated 5 units left is y=√(x+5)+2.

Hence, the equation representing the new function is y=√(x+5)+2.

The diameter of a soccer ball is 8.65 inches what is the volume of the ball rounded to nearest hundredth

Answers

A soccer ball is an icosahedron with curved faces that is why it can be regarded as spherical. The volume of a sphere is calculated through, 

                                        Vs = 4πr^3/3

  where Vs is the volume and r is radius. From the given, 8.65 in is the diameter which is 4.325 in in radius. 

                                        Vs = 4π(4.325^3)/3 = 338.88 in cubed.

Thus, the volume of the ball is 338. 88 in cubed. 

Find the area of the triangle
1. C=110 degrees, a=6, b=10
2. B=130 degrees, a=92, c=30

Answers

1.\ \ \ |\angle \ ACB|=110^0\n\n.\ \ \ \ \ a=|BC|=6\ [u]\ \ \ and\ \ \ b=|AC|=10\ [u]\n\nArea= (1)/(2) \cdot |AC|\cdot |BC|\cdot sin(|\angle \ ACB|)\n\nArea= (1)/(2) \cdot 6\cdot 10\cdot sin110^0=30\cdot sin (180^0-70^0)=\n\n.\ \ \ \ \ \ =30\cdot sin70^0\approx30\cdot 0.9397=28.191\ [u^2]\n\n

2.\ \ \ |\angle \ ABC|=130^0\n\n.\ \ \ \ \ a=|BC|=92\ [u]\ \ \ and\ \ \ c=|AB|=30\ [u]\n\nArea= (1)/(2) \cdot |AB|\cdot |BC|\cdot sin(|\angle \ ABC|)\n\nArea= (1)/(2) \cdot 30\cdot 92\cdot sin130^0=1380\cdot sin (180^0-50^0)=\n\n.\ \ \ \ \ \ =1380\cdot sin50^0\approx1380\cdot 0.7660=1057.08\ [u^2]\n\n

What Is probability ?
​

Answers

Final answer:

Probability is a mathematical practice used to measure the likelihood of an event occurring. It is used extensively in various fields to predict the outcome of an experiment or event. The empirical probability is calculated from observed data, while the theoretical probability assumes equal likelihood for all outcomes.

Explanation:

Probability is a mathematical discipline that deals with the chance of an event occurring. It is a measure of certainty or uncertainty related to outcomes and activities, especially in experiments whose results are not predetermined, termed as chance experiments.

Whenever an experiment is carried out, it is referred to as a sample event. The set of all possible results of this experiment is termed as the sample space. The various results or outcomes of the event are subsets of this sample space, and each is associated with a probability.

The empirical probability of an event is calculated by dividing the number of times the event occurs by the total number of opportunities for it to occur. On the other hand, the theoretical probability is computed by dividing the number of expected occurrences of the event by the total number of potential occurrences. In most situations, the probabilities of individual outcomes are assumed to be equal, but this might not always be the case.

Probability is used extensively in various fields from forecasting weather conditions to predicting the outcome of an experiment or an event. For example, genetics, where it helps predict the outcomes of genetic crosses; finance, where it helps a stockbroker determine the rate of return on investments and many more.

Learn more about Probability here:

brainly.com/question/32117953

#SPJ1

Michaela signs up for a package of 6 dance classes for $29.95, and each additional dance class is $3.95.Which expression shows how much she pays for d dance classes when d 2 6?
A. 29.95 + 3.95d
B. 29.95 + 3.95(d-6)
C. 29.95 : 0 + 3.95

D. 29.95 = (d - 6) + 3.95

Answers

I would say A?

Because 29.95 + 3.95 (d) as per dance class?
Other Questions
the hands on the clock represents rays. at 6:00, these rays form opposite rays. this means they form a
Where should you endorse a check
Bubba can mow a field in 8 hours. If Skeeter helps, they both can do it together in 3 hours. How long would it take Skeeter to mow the field by himself?
50% of all the cakes Lucy bakes that week were party cakes: one fifth were fruit cakes and the remainder were sponge cakes. What percentage of cakes were sponge cakes ?