MATHEMATICS HIGH SCHOOL

A probability experiment consists of rolling a fair 6 ​-sided die. Find the probability of the event below. rolling a number greater than 4

Answers

Answer 1
Answer: A six sided die has a 1 in 6 probability of rolling any number.
Out of the numbers 1, 2, 3, 4, 5, and 6, two numbers , 5 and 6, are greater than four.
This mean that out of six possibilities, two will be greater than four, so there is a 2 in 6 probability of rolling a number higher than 4. This can be simplified to 1 in 3.

The probability of rolling a number greater than four on a six sided die is 1 in 3, or 1/3
Answer 2
Answer:

Final answer:

The probability of rolling a number greater than 4 on a fair 6-sided die is 1/3, calculated by dividing the number of successful outcomes (2, as only 5 and 6 are greater than 4) by the total number of outcomes (6 as it's a 6-sided die).

Explanation:

To find the probability of rolling a number greater than 4 on a 6-sided die, we first need to identify the total number of possible outcomes. Since it's a standard 6-sided die, this would be 6. Then, we consider the number of outcomes that fulfill the condition, which in this case is rolling a number greater than 4. This leaves us with 2 successful outcomes (5 and 6). Therefore, the probability of this event is calculated as follows:

Probability = Number of successful outcomes / Total number of outcomes = 2 / 6 = 1 / 3

So, the probability of rolling a number greater than 4 on a 6-sided die is 1/3.

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Given the points A(0, 0), B(e, f), C(0, e) and D(f, 0), determine if line segments AB and CD are parallel, perpendicular or neither. a.parallel
b.perpendicular
c.neither

Answers

The slope:
m = rise / run;
For the line segment AB:
m AB = (y 2 - y 1) /(x 2 - x 1) = ( f - 0 ) / ( e - 0 ) = f / e
For the line segment CD:
m CD = ( 0 - e ) / ( f - 0 ) = - e / f
m CD = - 1 / m AB
Answer:
The lines are  B ) perpendicular 

Answer:

b.perpendicular

Step-by-step explanation:

Jim likes to day-trade on the internet. On a good day, he averages a $1100 gain. On a bad day, he averages a $900 loss. Suppose that he has good days 25% of the time, bad days 35% of he time, and the rest of the time he breaks even

Answers

Answer:

Jim will incur a loss of $2,400 in the 60-day period under review

Step-by-step explanation:

The question is incomplete. However, one assumption was made in attempting the question, ie, the timeframe was set at 60-days:

Jim likes to day-trade on the internet. On a good day, he averages a $1100 gain. On a bad day, he averages a $900 loss. Suppose that he has good days 25% of the time, bad days 35% of he time, and the rest of the time he breaks even, *what is Jim's balance after a 60-day period* ?

Solution

From the question, given period X = 60 days, and;

Jim's streak is as follows: 0.25X Profit : 0.35X Loss : (100 - (0.25+0.35) Even

Jim's streak = 0.25*60 : 0.35*60 : 0.4*60 = 15 + 21 + 24 (days)

15 profitable days = 15 * $1100 = $16,500

21 bad days 21*$900 = $18,900

24 even days = 24*$0 = $0

Balance after 60 days = $16500+(-$18900)+$0 = $16500-$18900 = -$2400

Final answer:

The expected daily value for Jim's day-trading hobby is -$40, meaning he should expect to lose $40 per day. Over three weeks of trading every weekday, this amounts to a total expected loss of -$600.

Explanation:

The subject of this question is expected value, a concept in probability and statistics, which essentially means the average result of a large number of trials in an experiment. In Jim's case, three possible outcomes are concerning his day-trading hobby: a good day ($1100 gain), a bad day ($900 loss), and a break-even day ($0 gain or loss).

Here's how we calculate:

  • A good day: 25% * $1100 = $275
  • A bad day: -35% * $900 = -$315
  • A break-even day: 40% * $0 = $0

The expected value of one day of trading for Jim is thus: $275 - $315 + $0 = -$40.

If Jim trades every weekday for three weeks (that is, 15 days), we can multiply the daily expected value by 15. So, Jim should expect to lose $40 * 15 = -$600 over three weeks.

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The complete question is given below:

Jim likes to day-trade on the Internet. On a good day. he averages a $1100 gain. On a bad day, he averages a $900 loss. Suppose that he has good days 25% of the time, bad days 35% of the time, and the rest of the time he breaks even.

a. What is the expected value for one day of Jim's day-trading hobby?

b. If Jim day-trades every weekday for three weeks, how much money should he expect to win or lose?

An angle that contains 126 degrees and 32 minutes is a(n) ____________ angle. A. right
B. acute
C. straight
D. obtuse

Answers

Answer:

option: D

Step-by-step explanation:

We are given one of the angle as 126 degrees and 32 minutes.

we know from the conversion of minutes to degrees that

1 minute=(1/60) degrees

so 32 minutes=(32/60) degrees=0.53333 degrees

Hence, 126 degrees and 32 minutes=(126+0.53333) degrees

                                                             =126.53333 degrees

" Obtuse Angle: An angle is said to be obtuse if it's measure is greater than 90 degree but less than 180 degrees" .

As the measure of the given angle is greater than 90° but less than 180°.

Hence, An angle that contains 126 degrees and 32 minutes is an OBTUSE angle.
An angle that is greater than 90° and less than 180° is an OBTUSE ∠.
Answer is D. Obtuse angle

Which line segment is only a chord of F?

Answers

Answer:

line AB is a chord

Step-by-step explanation:

Any line that segments a circle and joins two points at the circumference of a circle is called a chord.

line AB is a chord

While

line EC is a diameter

line DF is a radius

Answer:

Correct Answer should be AB

Step-by-step explanation:

I toke the quiz so I know its correct

What is the LCD of 8 5/12 and 3 5/8?
A.24
B.96
D.48
C.16

Answers

Answer:

24

Step-by-step explanation:

12, 24

8, 16, 24

what value of X makes the equation 4x -5= -6x+15 true?                                                                  a)2
b)1
c)-5
d)-10

Answers

The solution is Option A.

The value of x in the equation 4x - 5 = -6x + 15  is x = 2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be = A

Now , the value of equation A is

4x - 5 = -6x + 15   be equation (1)

Now , on simplifying the equation , we get

4x - 5 = -6x + 15

Adding 6x on both sides of the equation ,we get

10x - 5 = 15

Adding 5 on both sides of the equation , we get

10x = 20

Divide by 2 on both sides of the equation, we get

x = 20/10

x = 2

Therefore , the value of x is 2

Hence , The value of x in the equation 4x - 5 = -6x + 15  is x = 2

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4x -5= -6x+15       separete terms by kind

4x + 6x = 15 + 5    calculate

10x = 20               divide all by 10

x = 2     ALTERNATIVE A
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