Answer:
25
Step-by-step explanation:
Here we are supposed to find the distance between two coordinates ( 4,10) and (-3,-14).
Let us do this step by step with detailed explanation.
We will use distance formula in order to find the distance between them. The distance formula is given as

Here we have

Replacing them in the formula we get

Hence our distance is 25 units
1977. All that took was a 3 second search...
Can or bottle? A can will be the calculation for the surface area of a cylinder which is A=

if r is the radius of the circle on the top and bottom of the can and h is the height of the can. A can is basically two circles and a big rectangle. For a bottle I don't know there are too many components and no numbers to solve for that
−3x + 6 = 5 | -6 (first step is: "subtract 6 from both sides" <span>)
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-3x = 5-6
-3x = -1 | /(-3) (second step is: "<span>divide by (-3) on both sides</span>" <span>)
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Answer:
The most appropriate value of the critical value is 2.289.
Step-by-step explanation:
We are given that a researcher takes a random sample of 41 bulbs and determines that the mean consumption is 1.3 watts per hour with a standard deviation of 0.7.
We have to find that when constructing a 97% confidence interval, which would be the most appropriate value of the critical value.
Firstly, as we know that the test statistics that would be used here is t-test statistics because we don't know about the population standard deviation.
So, for finding the critical value we will look for t table at (41 - 1 = 40) degrees of freedom at the level of significance will be
.
Now, as we can see that in the t table the critical values for P = 1.5% are not given, so we will interpolate between P = 2.5% and P = 1%, i.e;

So, the critical value at a 1.5% significance level is 2.289.