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Margarita [4]
3 years ago
10

How do you know if the greatest common factor of two numbers is two just by looking at it?

Mathematics
1 answer:
Debora [2.8K]3 years ago
3 0
Well, you know just by looking at it because it ends in an even number. Like, the greatest common factor of 4 is 2, 1.) Because no other number can "go into it," and 2.) Because it's even.
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A researcher is interested in determining the mean energy consumption of a new
Nana76 [90]

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 \frac{1 - 0.97}{2} = 0.015 .

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;

     \frac{0.015 - 0.025}{0.025-0.01}= \frac{\text{Critcal value}-2.021}{2.021-2.423}

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

7 0
3 years ago
Point: (-3, 7); Slope: 4
GaryK [48]

Answer:

y - 7 = 4(x + 3)

Step-by-step explanation:

Write the equation of a line using the point slope formula. Substitute m = 4 and the point (-3,7) in the formula.

y - y_1 = m(x-x_1)\\y - 7 = 4(x--3)\\y - 7 = 4(x+3)

6 0
3 years ago
What is the range of the function f(x) = 3x2 + 6x – 8?
oee [108]

f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.

, written in vertex form is

, where (h, k) = (-1, -11)

Therefore, range ={y|y ≥ -11}

3 0
2 years ago
Name a real world object that has a top view of a triangle, and a side and front view that are each rectangles?
Anarel [89]
It could be a building with a triangular top. If the building had a triangular top, then it must have 3 rectangles as its sides. So your answer would be, a building with a triangular top.
5 0
2 years ago
V=1/3 pi r squared h what is h?
Sveta_85 [38]

Step-by-step explanation:

V = 1/3 pi r^2 h

root(V ÷ 1/3 pi) = h

6 0
2 years ago
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