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tatyana61 [14]
3 years ago
14

Chanelle selects a marble from a container and then returns it to the container. When she does this 3 times, the probability of

choosing a red marble all 3 times is 1/216. Based on this information, what is the probability of Chanelle choosing a red marble the first time she selects a marble?
Mathematics
1 answer:
astraxan [27]3 years ago
3 0

Answer:

1 ÷ 6

Step-by-step explanation:

Let us assume the probability of the red marble for selecting it first time be x

And, it is to be done 3 times

that means

= 1 ÷ x × 1 ÷ x × 1 ÷ x

This equivalent to = 1 ÷ 216

And the 216 could be calculated by multiplied 6 3 times i.e.

= 6 × 6 × 6

= 216

So, the probability for selecting it for a first time is

= 1 ÷ 6

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Which equation represents the line that passes through points B and C on the graph?
Nataly_w [17]

Answer:

a

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = B(- 4, 2) and (x₂, y₂ ) = C(- 2, - 2)

m = \frac{-2-2}{-2+4} = \frac{-4}{2} = - 2

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, - 2), then

- 2 = 4 + c ⇒ c = - 2 - 4 = - 6

y = - 2x - 6 ← equation of line through B and C

4 0
3 years ago
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The diameter of a sphere with a volume of 121.5 cubic mm is ___ mm.
Scorpion4ik [409]

Answer:

Diameter= 6.15

Step-by-step explanation:

Like the radius explanation but multiply the answer by 2.

7 0
3 years ago
The port of South Louisiana, located along 54 miles of the Mississippi River between New Orleans and Baton Rouge, is the largest
Ksenya-84 [330]

Answer:

a) 0.7287

b) 0.9663

c) 0.237

d) 3.65 tons of cargo per week or more that will require the port to extend its operating hours.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  4.5 million tons of cargo per week

Standard Deviation, σ = 0 .82 million tons

We are given that the distribution of number of tons of cargo handled per week is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P( port handles less than 5 million tons of cargo per week)

P(x < 5)

P( x < 5) = P( z < \displaystyle\frac{5 - 4.5}{0.82}) = P(z < 0.609)

Calculation the value from standard normal z table, we have,  

P(x < 5) =0.7287= 72.87\%

b) P( port handles 3 or more million tons of cargo per week)

P(x \geq 3) = P(z \geq \displaystyle\frac{3-4.5}{0.82}) = P(z \geq −1.82926)\\\\P( z \geq −1.82926) = 1 - P(z < -1.829)

Calculating the value from the standard normal table we have,

1 - 0.0337 = 0.9663 = 96.63\%\\P( x \geq 3) = 96.63\%

c)P( port handles between 3 million and 4 million tons of cargo per week)

P(3 \leq x \leq 4) = P(\displaystyle\frac{3 - 4.5}{0.82} \leq z \leq \displaystyle\frac{4-4.5}{0.82}) = P(-1.829 \leq z \leq -0.609)\\\\= P(z \leq -0.609) - P(z < -1.829)\\= 0.271-0.034 = 0.237= 23.7\%

P(3 \leq x \leq 4) = 23.7\%

d) P(X=x) = 0.85

We have to find the value of x such that the probability is 0.85.

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 4.5}{0.82})=0.85  

= 1 -P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.85  

=P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.15  

Calculation the value from standard normal z table, we have,  

P( z \leq -1.036) = 0.15

\displaystyle\frac{x - 4.5}{0.82} = -1.036\\x = 3.65

Thus, 3.65 tons of cargo per week or more that will require the port to extend its operating hours.

8 0
2 years ago
Find f(2) if f(x) = 2x + 1
Fantom [35]

Answer: f(2)=5

Step-by-step explanation:

f(2)=2(2)+1=5

f(2)=5

3 0
3 years ago
A line has a slope of 3/7 and a y-intercept of 0. What is it’s equation in slope-intercept form?
Ilia_Sergeevich [38]

Answer:

y = 3/7x

Step-by-step explanation:

Well slope-intercept form means this -----> y=mx+b

m = slope

b = y- intercept

In the question given they already telling us the slope (3/7) and the y intercept (0) so to put it into slope intercept form it will be ---> y= 3/7x

* If your y - intercept is zero you don't need to replace it with the b because its zero it means nothing (it has no value)

Hope this helps!!!

5 0
2 years ago
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