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sashaice [31]
2 years ago
8

Using a fair coin and a number cube with faces numbered 1 through 6, what is the probability of getting heads and rolling a 5?

Mathematics
1 answer:
torisob [31]2 years ago
3 0

Step-by-step explanation:

Use Multiplication Principle with states that if a event can occur n ways, and another mutually exclusive event occur p ways, then the total outcome is

n \times p

The possible ways of rolling a dice is 6 and the possible ways of flipping a coin is 2 so we have

6 \times 2 = 12

Now, we use the fact that proabliblity is

Number of favorable outcomes/ Total outcomes.

We can only get a head and a 5 once out of the set so the number of favorable outcomes is 1. Total outcomes is 12 so we have

\frac{1}{12}

A is the answer.

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The first and second terms of a linear sequence (A.p) are 3 and 8 respectively. Please determine the least Number of terms of Ap
Alla [95]

Answer:

To rewrite your question, you are looking for the smallest    that fulfills the inequality:

∑=1>250

First, we must find the sequence    in explicit form. We can think of it as a line we are trying to get the slope-intercept form of. We have the points (1, 3) and (2, 8). Therefore, the slope is  8−32−1=51=5 . Now we just need the y-intercept. We can find it through substitution:

=5+

In order to solve for   , we can plug in one of the points that we were already given. I will choose the point (1, 3). Note that this point just means that when  =1 ,  =3 .

3=5(1)+

3=5+

=−2

Now for the original question.

∑=1(5−2)>250

((5(1)−2)+(5()−2)2)>250

(5+12)>250

522+12>250

2+15>100

2+15+1100>100+1100

(+110)2>100+1100

(+110)2>10001100

+110>±10001100‾‾‾‾‾‾‾√

+110>±11010001‾‾‾‾‾‾√

>−110±11010001‾‾‾‾‾‾√

Since we are looking for the smallest value, we will subtract for the plus or minus sign.

>−110−11010001‾‾‾‾‾‾√≈−10

Since that is negative, we will have to add instead.

>−110+11010001‾‾‾‾‾‾√≈9.9

Therefore, the smallest integer    that makes sense and satisfies the inequality is 10.

So, the first 10 numbers must be added.

Honestly, it would have been quicker just to brute-force this.

Step-by-step explanation:

Have a good day

8 0
3 years ago
10($6.75)+7($1.99)+$15.00=$196.43
34kurt
96/43 = 196/43
the equation is false.
Hope this helps!
5 0
4 years ago
Which is the asymptote of the graph? y=0, y=1, y=2, y=3
nordsb [41]

Answer:

the asymptote would be zero because the graph is approaching zero, but never actually touches it.

8 0
3 years ago
Solve the inequality for x. –4x + 6 < 50
natulia [17]

Answer:

x > -11  

Step-by-step explanation:  

<u>Step 1:  Subtract 6 from both sides</u>  

-4x + 6 - 6 < 50 - 6  

-4x < 44

<u>Step 2:  Divide both sides by -4</u>  

-4x / -4 < 44 / -4

If you divide by a negative number, you flip the sign.  

<em>x > -11</em>

 

Answer: x > -11

7 0
2 years ago
This is a CALCULUS question, "Derivatives As A function"
irina1246 [14]

Derivative Functions

The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.

Definition:

let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of  x  such that the following limit exists:

f'(x)= \lim_\\ \ \\ \frac{f(x+h)-f(x)}{h} {h \to 0}

4 0
2 years ago
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