Line them up by the decimal point
There are 3 green gumballs out of 6 in total. So, the odds of Jeff pulling out a green gum ball is 3/6, or 1/2.
There are 2 blue balloons out of 5 in total. So, the odds of Jeff pulling out a blue balloon is 2/5.
Therefore, the combined odds of Jeff pulling out a green gum and a blue balloon is 1/2 multiplied by 2/5, which is 2/10, or 1/5, Making the answer C.
TL;DR: The answer’s C.
See explanation below
Explanation:
The equation: 4x + 3y = -12
To plot the graph using the intercept, we need to find the y and x intercept
To get the y intercept, we replace x with 0
4(0) + 3y = -12
0 + 3y = -12
3y = -12
divide both sides by 3:
3y/3 = -12/3
y = -4
To get the x intercept, we will replace y with 0
4x + 3(0) = -12
4x + 0 = -12
4x = -12
divide both sides by 4:
4x/4 = -12/4
x = -3
Plotting the x and y intercept on the graph:
Answer:
(3)
Replcaing equation (3) into equation (2) we got:

And solving for Y we got:



And solving for X from equation (3) we got:

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration
Step-by-step explanation:
For this problem we can work with the concentration of water and orange juice.
Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content
Using the concentration of orange juice we have:
(1)
And for the water we have:
(2)
If we solve for X from equation (1) we got:
(3)
Replcaing equation (3) into equation (2) we got:

And solving for Y we got:



And solving for X from equation (3) we got:

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration
Answer:
The 95% confidence interval for the mean breaking weight for this type cable is (767.47 lb, 777.13 lb).
Step-by-step explanation:
Our sample size is 41
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

Then, we need to subtract one by the confidence level
and divide by 2. So:

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 40 and 0.025 in the two-sided t-distribution table, we have 
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

Now, we multiply T and s

Then
The lower end of the confidence interval is the mean subtracted by M. So:

The upper end of the confidence interval is the mean added to M. So:

The 95% confidence interval for the mean breaking weight for this type cable is (767.47 lb, 777.13 lb).