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Burka [1]
2 years ago
11

A regular six sided die and an eight equal segment spinner, numbered 1 to 8, are rolled/spun simultaneously. What are the odds i

n favor of spinning a prime number on the spinner and rolling a number less or equal to 4 on the die?
Mathematics
1 answer:
kirill [66]2 years ago
8 0

Answer:

1/3

Step-by-step explanation:

In statistics, the probability of both an event A and an event B happening is equal to the probability of A happening multiplied by the probability of event B happening.

Let's say spinning a prime number is event A and rolling a number ≤ 4 is event B.

There are 8 possibilities on an eight equal segment spinner, and there are 4 prime numbers between 1 and 8 (including 8), which are 2, 3, 5, and 7. This means that the probability of spinning a prime number is 4/8, or 1/2

There are 6 possibilities on a die, and there are 4 possibilities of rolling a 4 or less (1, 2, 3, 4). Therefore, the probability of rolling 4 or less on a die is 4/6, or 2/3

The probability of both of these happening can be calculated by multiplying these together, so 1/2 * 2/3 = 2/6 = 1/3

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The senior classes at High School A and High School B planned separate trips to Lake Compounce. The senior class at High School
storchak [24]

Answer:

Number of students in vans =15 and bus =46

Step-by-step explanation:

use variables for the vans and buses

let x= vans and y=buses

Now solve the 2 equations simultaneously

<em><u>remember</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>number</u></em><em><u> </u></em><em><u>your</u></em><em><u> </u></em><em><u>equations</u></em>

6x+7y=412..........1

6x+9y=504.........2

make x the subject of one equation

and label it equation 3

6x=412—7y

x =  \frac{206}{3}  -  \frac{7y}{6} .............3

subs 3 into 2

6( \frac{206}{3}  -  \frac{7y}{6} ) + 9y = 504

412 - 7y + 9y = 504

- 7y + 9y = 504 - 412

2y = 92

y = 46...................4

subs 4 into 1

6x + 7(46) = 412

6x + 322 = 412

6x = 412 - 322

6x = 90

x = 15

Therefore there are 15 students in each van and 46 students in each bus.

3 0
3 years ago
Use algebraic means to show that x^2 + y^2 = 8 is not a function. Explain your process.
11Alexandr11 [23.1K]

Answer:

For a single value of x function has more than one corresponding value of y which satisfies the equation.

Step-by-step explanation:

Function: A relationship between a set of inputs and a set of possible outputs, where exactly one output is associated with each input.

It means for an equation to represent a function any single value of  x there should be only one corresponding value of  y which satisfies the equation.

Now consider the given equation.

x^2 + y^2 = 8

If we put x=0 then we get two value of y i.e \sqrt8 and -\sqrt8 which satisfy the equation  and therefore the equation is not a function.

5 0
3 years ago
Troy made 4 out of 7 jumps on his dirt bike. What percentage of jumps did he make?
Artist 52 [7]

Answer:

57.142858%

Step-by-step explanation:

I didn't know if you wanted the entire answer, so I just gave it anyway.

3 0
3 years ago
Math assignment I need help ASAP
sweet-ann [11.9K]

Answer:

Option B: -4 - 15x - 10 + 4x = -45

Step-by-step explanation:

The second step of the equation is to distribute 5 to the numbers in the parenthesis

6 0
3 years ago
What is (3.5 x 10^-5) (3 x 10^-10)
Kryger [21]
It is 1.05 E-14 that's the answer

7 0
3 years ago
Read 2 more answers
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