All categories

3 years ago

You randomly draw a marble from a bag of marbles that contains 7 blue marbles, 2 green marbles, and 1 red

Mathematics

1 answer:

statuscvo [17]3 years ago

5 0

Answer:

0.3 chance of not drawing a blue marble.

Step-by-step explanation:

This problem can be found using the theoretical probability formula.

The formula is: P (desired outcome) = <u># of desired outcomes</u>

total number of outcomes

Now all you have to do is input the numbers into the equation.

P(not drawing a blue marble) = <u>3</u>

3/10 is equal to 0.3 as a decimal.

You might be interested in

A toy maker claims his best product has an average lifespan of exactly 14 years. A skeptical quality control specialist asks for

slamgirl [31]

Answer:

interval = [17.3948 , 20.6052]

Step-by-step explanation:

given,

random sample (n) = 45

average product lifespan = 19 years

standard deviation = 4 years

confidence interval of 99 % = ?

we know,

t* = qt(1.99/2 + 44 ) = qt(0.995,44)

t* = 2.692

so,

interval

$x = 19 \pm t* \times (\dfrac{s}{\sqrt{n}})$

$x = 19 \pm 2.692 \times (\dfrac{4}{\sqrt{45}})$

$x = 19 \pm 2.692 \times 0.5963$

$x = 19 \pm 1.6052$

interval = [19 - 1.6052 , 19 + 1.6052]

interval = [17.3948 , 20.6052]

4 0

3 years ago

Lyra and Donna are testing the two-way radios they built for their high school science project. Lyra goes to the top of a buildi

Strike441 [17]

The range of communication is about 55 meters.

6 0

3 years ago

It takes 10 people 15 hours to prepare the gym for the school dance. How many hours would it take 12 people to prepare the gym?

valentinak56 [21]

Answer

18 hours

Step-by-step explanation:

if 10 people spend 15 hours

one person spend 15/10=1.5

so 1.5 × 12=18hours

4 0

2 years ago

What is the x-intercept of -2x 5y = 20 ? question 1 options: 10 4 -4 -10?

Ahat [919]

You mean -2x+5y=20 if it was that's how you do it
so if you're finding the x intercept the y will turn to 0 why because you're only looking for x their's no need for y
so it will be -2x+0=20
-2x=20 if it's multiplication then you change it to division
-2x/-2=20/-2
x=-10

7 0

3 years ago

For each ordered pair, determine whether it is a solution to the system of equations.

-Dominant- [34]

The only ordered pair that is a solution to the given system of equations is (-2, -6)

<h3>System of Linear Equations </h3>

From the question, we are to determine if each ordered pair is a solution to the given system of equations

The given system of equations is

-9x + 2y = 6

5x - 3y = 8

For (7, 9)

That is,

x = 7, y = 9

Putting the values into the first equation

Is -9(7) + 2(9) = 6

-63 + 18 = 6

-45 ≠ 6

Thus, (7,9) is not a solution

For (0, 3)

That is,

x = 0, y = 3

Putting the values into the first equation

Is -9(0) + 2(3) = 6

0 + 6 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(0) - 3(3) = 8

0 - 9 = 8

-9 ≠ 8

Thus, (0, 3) is not a solution

For (5, -4)

That is,

x = 5, y = -4

Putting the values into the first equation

Is -9(5) + 2(-4) = 6

-45 - 8 = 6

-53 ≠ 6

Thus, (-5,4) is not a solution

For (-2, -6)

That is,

x = -2, y = -6

Putting the values into the first equation

Is -9(-2) + 2(-6) = 6

18 - 12 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(-2) -3(-6) = 8

-10 + 18 = 8

8 = 8

The ordered pair satisfies the second equation

∴ The ordered pair that is a solution to the system of equations is (-2, -6)

Hence, the only ordered pair that is a solution to the given system of equations is (-2, -6)

Learn more on System of equations here: brainly.com/question/8630769

#SPJ1

3 0

1 year ago