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frez [133]
3 years ago
6

you roll two dice. let event A be "the first die shows a 1, a 2 , a 3 or a 6" and Event B be " The second die shows an even numb

er" What is P(A B) ?
Mathematics
1 answer:
maxonik [38]3 years ago
4 0
A- 4/6, B- 3/6
If both events happen, the probability is A*B= 4/6 * 3/6 = 12/36= 1/3
P(AnB)= 1/3
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using the graph,find the value of the constant in the equation below.if necessary,round your answer to the nearest integer (Pict
Ugo [173]
The equation is the form:
Height = Constant / Width

There are several points that can be used to determine the constant. Picking out one which is (4,20)
20 = Constant / 4
Constant = 4(20)
Constant = 80

The constant is 80.
3 0
2 years ago
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A student scored 88 and 97 on her first two quizzes find the possible values for the third quiz to score that will give her an a
Katyanochek1 [597]

Answer: 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98

Step-by-step explanation:

You basically try a whole bunch of numbers by taking those two numbers and another then adding them and dividing them by 3.

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3 years ago
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Show how to find the roots (zeros) of the function in the picture below.
Vikki [24]

Answer:

The roots (zeros) of the function are:

x=5,\:x=-8

Step-by-step explanation:

Given the function

f\left(x\right)=x^2+3x-40

substitute f(x) = 0 to determine the zeros of the function

0=x^2+3x-40

First break the expression x² + 3x - 40  into groups

x² + 3x - 40 = (x² - 5x) + (8x - 40)

Factor out x from x² - 5x:  x(x - 5)

Factor out 8 from 8x - 40:  8(x - 5)

Thus, the expression becomes

0=x\left(x-5\right)+8\left(x-5\right)

switch the sides

x\left(x-5\right)+8\left(x-5\right)=0

Factor out common term x - 5

(x - 5) (x + 8) = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

x-5=0\quad \mathrm{or}\quad \:x+8=0

Solve x - 5 = 0

x - 5 = 0

adding 5 to both sides

x - 5 + 5 = 0 + 5

x = 5

solve x + 8 = 0

x + 8 = 0

subtracting 8 from both sides

x + 8 - 8 = 0 - 8

x = -8

Therefore, the roots (zeros) of the function are:

x=5,\:x=-8

6 0
2 years ago
The radius of a semicircle is 3 kilometres. What is the semicircle's perimeter?
alina1380 [7]

Answer:

In terms of Pi: 3\pi + 6 km

Exact value (rounded): 15.42477 km

Approximated (3.14): 15.42 km

Step-by-step explanation:

Hello!

A semicircle's perimeter can be found using the formula: P = \pi r + 2r

We can plug in the values to solve for the perimeter.

<h3>Solve</h3>
  • P = \pi r + 2r
  • P = \pi(3)+ 2(3)
  • P = 3\pi + 6

In terms of Pi, it is 3\pi + 6,

Exact value of Pi, it is 15.42477

Approximation of Pi (3.14), it is = 15.42

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Blababa [14]

Answer:

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Step-by-step explanation:

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