Okay, so your first one, number six. You have two shapes there, a cone and a circle. Now you have a full cone and a half of a circle. Let's start with the cone. The formula for the volume of a cone is πr²h/3. You have your height, that is 12, so get your paper out and plug that in. H = 12. Now, your radius is where it gets a bit tricky. Have you ever heard of the Pythagorean theorem? It's a²+b²=c². Look at the cone, but look at it like it's a two-dimensional shape. You see the triangle in the middle, ignore the rest and pretend it's only that triangle. You now have a right triangle, You know your height is 12, and by looking at the triangle adjacent to it, and know it's equal, you know that your hypotenuse (the longest side of your triangle) is 15. So plug that into the Pythagorean theorem. Now you have 12²+b²=15². Use algebra to work that out, and you're left with 9. So your radius is 9. Now plug that into your volume of a cone equation. The volume of the cone is about 1017.88. Now find the circle or sphere. The formula is 4/3πr³. Just plug in your radius and get your answer, which is 3053.63. Now cut that in half, as you've only got half a circle. Now you've got 1526.82. Now add that to the volume of your cone, and you've got your final answer. 2544.7, or about that. I used π on a calc, and not 3.14, so it might be a little different.
Do you think you can do the next one? Just look at your triangle in there. You've already got one side and a hypotenuse, so plug it into the Pythagorean theorem and get your last side. Then look at the little marks on there and you can see if places are the same. If you need help with it don't hesitate to ask. I'm staying up all night anyway. Homeschooled and behind, so I'm not going anywhere.
Parallel would be anything with the slope of 4x and perpendicular would be anything with the slope of 1/4
Step-by-step explanation:
588 × 40 = 23,520 math problems they would solve that evening
Answer:
Because the absolute value of the test statistic is <u>less than</u> the positive critical value, there <u>is not</u> enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.
Step-by-step explanation:
The correlation matrix provided is:
Variables Paper Glass
Paper 1 0.1853
Glass 0.1853 1
Te hypothesis for the test is:
<em>H</em>₀: <em>ρ</em> = 0 vs. <em>H</em>₀: <em>ρ</em> ≠ 0
The test statistic is:
<em>r</em> = 0.1853 ≈ 0.185
As the alternate hypothesis does not specifies the direction of the test, the test is two tailed.
The critical value for the two-tailed test is:
The conclusion is:
Because the absolute value of the test statistic is <u>less than</u> the positive critical value, there <u>is not</u> enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.
I think you doubled them
ratio of dogs to cats=3:2
30 animals total
3+2=5 units
30=5unit
divide by 5
6=1unit
dogs=3 unit
6=1unit
times 3
18=3unit=dogs
18 dogs
