All categories

4 years ago

An experiment involves tossing a die. these are some of the events:

2 answers:

8 0

"Tossing a die" is assumed to mean choosing a random face of a cube with faces numbered 1 through 6 such that the probability of choosing any particular face (number) is 1/6.

Event a is "observe a 2". Event b is "observe an even number". The event "a and b" is "observe 2 and an even number". This matches precisely the description for event a. In other words

... a and b = a

... p(a and b) = p(a) = p(choosing 2) = 1/6

8090 [49]4 years ago

5 0

Answer:

Option- B

An experiment involves tossing a die. these are some of the events during which we can be able to observe an even number.

Step-by-step explanation:

It is more obviously to know that there will be six sides for us to observe and each time we will get an even number to observe during the process.So, it all goes with the mechanisms of the probability that are taken under considerations when we speak about such events to happen.

You might be interested in

Find the equation of a line, in slope-intercept fotm of a line that passes through the point (9,2) and is perpendicular to the l

cricket20 [7]

Considering the definition of perpendicular line, the equation of of perpendicular line is y= - $\frac{1}{2}$ x + $\frac{13}{2}$ .

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b.

where

x and y are coordinates of a point.

m is the slope.

b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Perpendicular line</h3>

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

<h3>Equation of perpendicular line in this case</h3>

In this case, the line is 2x-y=8. Expressed in the form y = mx + b, you get:

-y=8 - 2x

y= (-2x +8)÷ (-1)

y= 2x -8

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of 2. So:

2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (2)

slope perpendicular line= - $\frac{1}{2}$

So, the perpendicular line has a form of: y= - $\frac{1}{2}$ x + b

The line passes through the point (9, 2). Replacing in the expression for perpendicular line:

2= (- $\frac{1}{2}$ )× 9 + b

2= - $\frac{9}{2}$ + b

2+ $\frac{9}{2}$ = b

$\frac{13}{2}$ = b

Finally, the equation of of perpendicular line is y= - $\frac{1}{2}$ x + $\frac{13}{2}$ .

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

6 0

2 years ago

One canned juice drink is 20% orange juice, another is 5% orange juice, how many liters of each should be mixed together in orde

gavmur [86]

Answer:

11 L of 20% juice and 4 L of 5% juice

Step-by-step explanation:

Let

x L = amount of 20% juice

y L = amount of 5% juice

20% juice:

Amount = x L

Amount of juice $=0.2x$ L

5% juice:

Amount = y L

Amount of juice $=0.05y$ L

16% juice:

Amount = 15 L

Amount of juice $=0.16\cdot 15=2.4$ L

We mixed x L of 20% juice with y L of 5% juice to get 15 L of 16% juice, so

$x+y=15$

and

$0.2x+0.05y=2.4$

From the first equation:

$x=15-y$

Substitute it into the second equation:

$0.2(15-y)+0.05y=2.4\\ \\20(15-y)+5y=240\\ \\300-20y+5y=240\\ \\-20y+5y=240-300\\ \\-15y=-60\\ \\15y=60\\ \\y=4\ L\\ \\x=15-4=11\ L$

4 0

4 years ago

Consider line 7x+8y=6.

Nata [24]

Answer:

parallel line: -(7/8)

perpendicular line: (8/7)

7x + 8y = 6: y = (3/4) - (7x/8)

4 0

3 years ago

Find the area of the figure.

gayaneshka [121]

Answer:

33 units squared is the area of the shape.

Step-by-step explanation:

We know that the the area of the orange (bookmark) shape would be 42 units squared total, since the length is 7 and width is 6 (or vice versa) Now, all we need to find is how many squares inside the rest of the small portion to fill in the shape and subtract that from 42. Adding the squares and half squares in the small portion, I got 9. 42-9 is 33 units squared

3 0

3 years ago

Read 2 more answers

Suppose the national mean SAT score in mathematics was 510. In a random sample of 60 graduates from Stevens High, the mean SAT s

zalisa [80]

Answer:

We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 510

Sample mean, $\bar{x}$ = 502