Your answer is (0,-3). The axis of symmetry is basically the y part in a vertex. I just found the vertex of the equation (showed you the steps how to do so if you don’t know) and then took the y value of the vertex-which is the axis of symmetry. Hopes this helps!
Using the t-distribution, it is found that the proportion in a t-distribution less than −1.4 if the samples have sizes n1=30 and n2=40 is of 0.083.
<h3>How to find a proportion in a t-distribution?</h3>
The proportion is found using a calculator, with three inputs:
- The tail of the test, if it is left, right, or two-tailed.
- The amount of degrees of freedom.
In this problem, we have a left-tailed proportion, as we want the proportion that is less than a value, with test statistic t = -1.4 and 30 + 40 - 2 = 68 df, hence the proportion is of 0.083.
More can be learned about the t-distribution at brainly.com/question/16162795
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Answer:
The x-coordinates of the points are x = 3 and x = - 8.
Step-by-step explanation:
We have to find the x-coordinates of the points where the graph of equation y = (x - 3)(x + 8) crosses the x-axis.
Now, the x-intercept of a function implies that y = 0 {Because on x-axis, y-value is zero}
Hence, (x - 3)(x + 8) = 0
⇒ (x - 3) = 0 and (x + 8) = 0
⇒ x = 3 and x = - 8
Therefore, the x-coordinates of the points are x = 3 and x = - 8. (Answer)
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: speed of a vehicle along a stretch of I-10 (mph)
This variable has a normal distribution with mean μ= 81 mph and a standard deviation σ= 8 mph.
The speed limit in the said stretch is 65 mph.
You need to calculate the probability of picking a car at random and its speed be at most 65 mph, symbolically:
P(X≤65)
To reach the probability, you need to use the standard normal distribution. To standardize the value fo X you have to subtract the value of μ and then divide it by σ:
P(Z≤(65-81)/8)= P(Z≤-2.00)
Now you look for the corresponding probability in the table of the standard normal distribution, since the value is negative you have to use the left entry. The integer and first decimal numbers are in the first column and the second decimal number is in the first row.
P(Z≤-2.00)= 0.0228
I hope it helps!
Answer:
nobody knows
Step-by-step explanation:
