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3 years ago

A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.

Mathematics

1 answer:

Yuliya22 [10]3 years ago

7 0

Answer & Step-by-step explanation:

On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.

$\frac{4}{6}$ or we can write this fraction as $\frac{2}{3}$

So, the probability of rolling a number less than 5 is $\frac{2}{3}$

You might be interested in

Which of the following shows the prime factorization of 200 using exponential notation?

Vilka [71]

Answer:

The prime factorization of 200 using exponential notation is $2^{3}\times 5^{2}$ .

Step-by-step explanation:

First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.

1) $\frac{200}{2} = 100$ (Even number)

2) $\frac{100}{2} = 50$ (Even number)

3) $\frac{50}{2} = 25$ (Even number)

4) $\frac{25}{5} = 5$ (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

5) $\frac{5}{5} = 1$ (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

Now, we construct the prime factorization using exponential notation:

$200 = 2^{3}\times 5^{2}$

The prime factorization of 200 using exponential notation is $2^{3}\times 5^{2}$ .

8 0

2 years ago

Is it a, b , c , or d?

IrinaVladis [17]

The line has a positive slope. Let's look at all the slopes:

1) -3

2) -3

3) 3

4)3

Which ones are positive? That's right, 3 and 4. We don't know which equation would be the equation of the line. That's where the other information comes in.

The line intersects the y-axis at at a point that has a negative y-coordinate. Lets write the last two equations in slope-intercept form.

1) y = -3/2x - 5/2

2) y = -3/2x + 5/2

We have to graph both of the lines now. The graphs are at the very bottom. Take a look at them. In the first one, the y-intercept is a negative and in the second one, the y-intercept is positive.

The third one AKA 3x + 2y = -5 is the equation of the line. I hope this helps! Let me know if I got it wrong or if you need any more help.

5 0

3 years ago

Angels a and b are complementary but angle a is 4 times as large as angle b find angle a

Elodia [21]

****hope this helps****

8 0

3 years ago

Two airplanes are flying to the same airport. Their positions are shown in the graph. Write a system of linear equations that re

wariber [46]

Answer:

Airplane #1 equation: y=5/13x+42/13

Airplane #2 equation: y=1/3x+14

Step-by-step explanation:

So to find the slope of each airplane, you use the formula y2-y1/x2-x1. That means, for airplane#1 the equation will be 9-4/15-2. Simplify this and get 5/13. Then, for airplane#2, the equation will be 12-9/6-15. Simplify this and get 3/-9 and divide each side by 3 to get 1/-3 or -1/3. Next, use point slope formula to find the system of linear equations. Point slope formula is y-y1=m(x-x1). M is the slope. Use any point from the line. In this case, I will use (2,4). Tat means the first airplane's equation would be y-4=5/13(x-2). Then y-4=5/13x-10/13. Then, convert four into a fraction with a denominator of 13. This means, you have to multiply 4 by 13 to get 52/13. Add 52/13 to -10/13 to get 42/13. That means the first equation will be y=5/13x+42/13. The second equation point will be (6,12). This means the equation will be y-12=-1/3(x-6). Simplify this to get y-12=-1/3x+2. Simplify this to get y=1/3x+14. Therefore, Airplane#1 equation will be y=5/13x+42/13 and airplane #2 equation will be y=1/3x+14.

Hope this helps

6 0

3 years ago

Monica says,"if 4 bottles cost $10, then 2 bottles cost $5 + $20." Is Monica correct? Explain

Igoryamba

Answer:

Monica is not correct.

Step-by-step explanation:

First of all, if 4 bottles only cost $4, then how would only 2 cost more? (She said the two bottles would be $25, which doesn’t make sense.)

8 0

2 years ago