There are a total of 19 marbles.
The chance of picking a blue marble is
Since you didn't put that marble back in, there are 18 marbles still in the bag.
The chance of picking a brown marble is <span>
Multiplying the two values together results with </span>
Answer:
We fail to reject the null hypothesis that the average content of containers of the lubricant is 10 liters, this at the significance level of 0.01
Step-by-step explanation:
Let X be the random variable that represents the content of a container of the lubricant. We have observed n = 10 values, = 10.06 and s = 0.2459. We assume that X is normally distributed.
We have the following null and alternative hypothesis
vs (two-tailed alternative)
We will use the test statistic
because we have a small sample size. And the observed value is
if is true, then T has a t distribution with n-1 = 9 degrees of freedom.
The rejection region for a two-tailed alternative and a significance level of 0.01 is given by RR = {t | t < -3.2498 or t > 3.2498}, where 3.2498 is the value such that there is an area of 0.005 above this number and under the density of the t distribution with 9 df.
Because the observed value 0.7716 does not fall inside RR, we fail to reject the null hypothesis.
Answer:
0
Step-by-step explanation:
Your slope would be 0. To find the slope of a line given two points, you find the change in y over the change in x.
In this case, the change in y was 6 - 6 which equals 0.
The change in x was -5 - 2 which was -7.
Since your numerator is 0, 0 divided by anything is automatically equal to 0 no matter what the denominator is.
Therefore, your answer would be 0.
I hope this helped :)
4 times the sum of f and g: 4(f+g)
6 times g: 6g
So equation : 4(f+g) = 6g
Answer: number of times feliz can drive to or from work with the gas in his tank is 10 times
Step-by-step explanation:
Let's start by reviewing the slope-intercept formula:
y = mx + b
At the start of the journey, we have a tank that's 5/6 full and have yet to go anywhere. That means that our b is 5/6.
Thus:
y = mx + 5/6
Now, every time he drives to or from work, be loses 1/12 of a full tank.
Thus;
y = -(1/12)x + 5/6
negative because the initial volume of gas is decreasing whenever he goes out.
Now, to get the number of times feliz can drive to or from work with the gas in his tank, y = 0.
Thus,
0 = -(1/12)x + 5/6
Add (1/12)x to both sides to give;
(1/12)x = 5/6
x = 5/6 ÷ 1/12
x = 10