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Sever21 [200]
3 years ago
5

Sam rolls a fair dice and flips a fair coin.

Mathematics
1 answer:
marshall27 [118]3 years ago
7 0

Answer:

1/4

Step-by-step explanation:

Given an event A and event B, the probability of both happening can be determined by multiplying the two individual probabilities.

We can start by finding the individual probabilities

The probability of rolling an odd number is 3/6 = 1/2, as there are 3 odd numbers (1,3,5) on a die and 6 possibilities total. Furthermore, there is a equal chance of rolling each number as it is a fair die

The probability of flipping a head is 1/2, as there are two equal possibilities (heads and tails), with one of them being heads

To find the probability of both happening, we can multiply them to get (1/2) * (1/2) = 1/4

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The area of a circle, in terms of π, is 4πm2.Find the value of the radius
katen-ka-za [31]
<h3>Answer:  2</h3>

Work Shown:

A = pi*r^2

4pi = pi*r^2

4 = r^2

r = sqrt(4)

r = 2

The radius is 2 meters.

8 0
3 years ago
Algebra 1) The steps below show the solution to the equation 3 ( x − 2 ) = 2 ( x − 3 ) order the reasons for the steps. Options
Komok [63]

Answer:

See the steps below.

Step-by-step explanation:

1. Distributive Property

2. Multiply

3. Addition and Subtraction property of equation.

4. Add and Subtract

Best Regards!

8 0
3 years ago
The functions f and g are differentiable for all real numbers x. The table below gives values for the functions and their first
sertanlavr [38]

Answer:

13/9

y =-22x+32

Step-by-step explanation:

Given that the functions f and g are differentiable for all real numbers x. The table below gives values for the functions and their first derivatives at selected values of x.

x f(x) f'(x) g(x) g'(x)

1 4 -3 5 2

2 -3 -1 4 6

3 π 8 -1 4

4 -5 unknown 0 3

a) h(x) = \frac{f(x)}{g(x)} \\h'(x) = \frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}

(using quotient rule)

Substitute 1 for x

h'(1) = \frac{g(1)f'(1)-f(1)g'(1)}{(g(1))^2}\\=\frac{9-(-4)}{9} \\=\frac{13}{9}

b) r(x) = f(x) g(x)\\r'(x) = f(x) g'(x)+g(x)f'(x)

when x =2, r(x) = r(2) = f(2) g(2) = -12

point of contact is (2,-12)

Slope of tangent =r'(2) = f(2) g'(2)+g(2)f'(2)\\=-18+(-4) \\=-22

Using point slope form, tangent is

y+12 = -22(x-2)\\y = -22x +32

7 0
4 years ago
Translate and solve: 783% of what number is 47,763?
AysviL [449]

Answer:

6,100

Step-by-step explanation:

7.83n= 47,763

Now, we can solve for n by dividing both sides by 7.83 and simplifying.

n=6100

4 0
3 years ago
What is the slope in the equation y=5x-2
almond37 [142]

Answer:

The slope is 5 and the y intercept is -2

Step-by-step explanation:

y = 5x-2

This equation is written in the form

y = mx+b  where m is the slope and b is the y intercept

The slope is 5 and the y intercept is -2

3 0
3 years ago
Read 2 more answers
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