Answer:
p = 0.07
p-hat = 0.035
p0 = 0.07
p-value = 0.003
Step-by-step explanation:
p = population parameter, in this case, the rate of infestations across all trees in the forest
p-hat = test statistic, in this case, the rate of infestations found in the sample of trees, i.e. those in Doug's backyard
p0 = the null hypothesis, in this case, the rate of infestations within the forest is correctly evaluated at 0.07 or 7%
p-value = the likelihood any difference between p and p-hat is down to chance
In this case 0.003 as the p-value means there is only 0.3% probability of our statistic value of 0.035 being down to variability and chance meaning it is 99.7% likely that there is some reason behind this difference;
We would accept the alternative hypothesis which says the current parameter value, 0.07, is in fact incorrect (either too high or too low, in this case, likely too high).
Great question! I had this question in Geometry on Edmentum.
Answer: Height of cone = 3y
Step-by-step explanation:
We know that the cylinder and the cone have the same volume. The cylinder has radius x and height y. We will make use of the formulas:
Volume of cylinder = πr²h
Volume of cone = 1/3πr²h
Since the cone has radius 1/3x, we will have to make its height 3 times of y (the height of the cylinder) to make both the cylinder and the cone have the same volume.
So, the height of the cone is equal to 3y.
Hope this helps, and have a wonderful day! :D
Please mark me brainliest! I don't have trouble getting points, but I do when it comes to brainliest.
Answer:
12.5 sq. units
Step-by-step explanation:
Divide the blue triangle into two smaller triangles.
The length of their common base = 5 units
The height of the <u>yellow</u> triangle = 2 units
The height of the <u>red</u> triangle = 3 units
The area of the yellow triangle
= (5×2)÷2
= 5 sq. units
The area of the red triangle
= (5×3)÷2
= 7.5 sq. units
The total area
= 5+7.5
= 12.5 sq. units
7245000...hope that helps
