Two non-simultaneous events have an equal likelihood of occurring (50%). If the events are independent of each other, what is the probability that they will both occur?

Answers

Answer 1
Answer:

Answer: Probability that they will both occur is 25%.

Step-by-step explanation:

Since we have given that

There are two non simultaneous events.

Probability of each event = 50%

Since both are independent to each other.

Let A and B be two events.

We need to find the probability that they will both occur i..e P(A∩B).

As we know the rule of independence of events:

P(A\cap B)=P(A).P(B)\n\nP(A\cap B)=0.5* 0.5\n\nP(A\cap B)=0.25\n\nP(A\cap B)=25\%\n

Hence, Probability that they will both occur is 25%.

Answer 2
Answer: 25% should be the answer, let me kno if its correct

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A farmer is planting a straight row of crops with 3 feet between each plant is 23 are planted what is the distance between the first and last plant

Answers

The distance between the first and last plant is \fbox{\bf{\text{66 feet}}}.

Further explanation:

Given:

A farmer is planting a straight row of crops with 3 feet between each plant.

Calculation:

Consider the number of plant as x.

The number of spaces S between the plants is calculated as follows:

S=x-1                                                                                  ……(1).

Since, the number of plants are 23, Substitute 23 for x in equation (1) to obtain the number of spaces between the plants.

\begin{aligned}S&=23-1\n&=22\n\end{aligned}

Since, the distance between each plant is 3 feet, the distance D between the first and last plant is calculated as follows:

D=3S                                                                                      ……(2)

Substitute 22 for S in equation (2) to obtain distance D between the first and last plant.

\begin{aligned}D&=3\left({22}\right)\n&=66\,\,{\text{feet}}\n\end{aligned}

Thus, the distance between the first and last plant is  \fbox{\bf{\text{66 feet}}}.

Learn more:  

1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}  

brainly.com/question/1632445  

2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12  

brainly.com/question/1473992  

3. what are the domain and range of the function f(x) = 3x + 5?  

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Answer Details :

Grade: Middle School

Subject: Mathematics

Chapter: linear equation

Keywords:Plant, farmer, crops, feet, A farmer is planting, space between the plant is 3 feet, linear equation, straight lines, function, number of spaces.

Final answer:

The distance between the first and last plant in a straight row of 23 crops with a spacing of 3 feet each is 66 feet. This is calculated using the formula: (Number of plants - 1) * Distance between plants.

Explanation:

The problem requires you to find the total distance from the first to the last plant in a row of crops considering that each plant is planted 3 feet apart. This type of problem can be solved by simple arithmetic calculations.

You might think you should simply multiply the number of plants by the distance between them, but this would not provide the correct answer. The reason is that the distance between the plants is not the same as the distance from the first to last plant.

For example, if the farmer only planted two crops, there would only be 3 feet between them, not 6. Therefore, we need to use the formula: (Number of plants - 1) * Distance between plants.

To solve for our question, we’d get: (23 plants - 1) * 3 feet = 66 feet. Thus, the distance between the first and last plant is 66 feet.

Learn more about Plant Spacing Calculation here:

brainly.com/question/34825394

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Your Mum has saved £12,000 and has agreed to give you a share. Would you rather have 1 5 or 1 10

Answers

I would rather have 1 10

I guess it's 1/10 becuase you guys said it so.

Find y when x=21/2, if y varies inversely as x and x=5 when y=3A. 2.5/3=3/4;6
B. 2.5/3=3/4;3
C. 2.5/3=5/3;6
D. 2.5/3=5/4;3

Answers

y varies inversely as x:
y=C/x
C: Constant

Cross multiplication
yx=C

x=5 when y=3
Replacing in the equation above:
(3)(5)=C

when x=2 1/2=2+0.5→x=2.5, y=?
xy=C
(2.5)(y)=C

Equaling the two equations:
C=C
(2.5)(y)=(3)(5)
2.5/3=5/y

Solving for y. Dividing both sides of the equation by 2.5:
(2.5)(y)/(2.5)=(3)(5)/(2.5)
y=6

Answer:
2.5/3=5/6

Round off 0.825 to nearest units,tenths,hundreds

Answers

nearest tenths would be = .8
nearest hundreds would be = .82

Please help, speed and distance question

Answers

Answer:

90 mph

Step-by-step explanation:

You can see on the steepest line down it goes 180 mph in the span of 2 hours. Divide 180 by 2 to get the answer which is 90 mph

WRITE EQUATION OF THE LINE PASSING THROUGH THE POINTS (5,4) AND (-6.3) Y=

Answers

First you have to find the slope of the line.  
(y2 -y1) / (x2 - x1) = slope
 so (3 - 4) / ( -6 - 5)  = -1/ -11 so the slope of the line is 1/11

Now you write y = mx + b  then substitute in one of the points with x and y
                     4 = (1/11)(5) + b
                     4 = 5/11 + b 
                 -5/11= - 5/11       change the 4 into 44/ 11 and subtract
     44 / 11 - 5/11=         b
                39/11 =     b                          now it depends on your teacher and text
usually, you can substitute the fraction for your b
     y = mx + b
     y = 1/11 x + 39/11   so this is your answer

Does that make sense or did I make a mathematical error?

( x - 5) / ( -6 - 5) = (y - 4)/( 3 - 4) <=>  (x-5)/(-11) = (y-4)/(-1) <=> x - 5 = 11y - 44 <=>
 x - 11y + 39 = 0;