Answer:
25
Step-by-step explanation:
b the shapes are rectangele and triangele
c triangle base times hieght divided by 2 rectangele leingth times width
d rectangle- 3*5= 15
triangle 4*5=20 20/2=10
10+15=25
A) height of a cylinder: 7.96
b) height of come: 1.43
c) radius of cylinder: 4.07
d) radius of cone: 2.82
e) radius of sphere: 9
use the following formulas to solve:
a) volume= (pi)(radius^2)(height) and substitute what’s given
b) (1/3)(pi)(radius^2)(height) and substitute the given
c) volume= (pi)(radius^2)(height) and substitute what’s given
d) (1/3)(pi)(radius^2)(height) and substitute the given
e) volume= (4/3)(pi)(radius^2) and substitute the given
Answer:
dy/dx when x = 1 is (4y + 3) / 2.
Step-by-step explanation:
x^3 + 2x^2y - 4y=7
Using implicit differentiation:
3x^2 + 4xy + 2x^2.dy/dx - 4 dy/dx = 0
2x^2.dy/dx - 4dy/dx = -3x^2 - 4xy
dy/dx = (-3x^2 - 4xy ) / (2x^2 - 4)
When x = 1:
dy/dx = (-3 - 4y) / -2
= -1(4y + 3) / -2
(4y + 3)/ 2 (answer).
Answers:
- a) The sample is the set of students Ms. Lee selects from the box.
- b) The population is the set of all students in Ms. Lee's classroom.
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Explanation:
The first sentence tells us what the population is: it's the set of all her students. She's not concerned with any other students in any other classroom. So her "universe", so to speak, is solely focused on this classroom only. Once the population is set up, a sample of it would be a subset of the population.
If set A is a subset of set B, then everything in A is also in B, but not vice versa. For example, the set of humans is a subset of the set of mammals because all humans are mammals. However, a dog is a mammal but not a human. This shows that A is a subset of B, but not the other way around. In this example, A = humans and B = mammals.
Going back to the classroom problem, we have A = sample and B = population. If Ms. Lee has 30 students, and she randomly selects 5 of them, then those 30 students make up set B and the 5 selected make up set A. Selecting the names randomly should generate an unbiased sample. This sample should represent the population overall. If the population is small enough, the teacher could do a census and not need a sample. Though there may be scenarios that it's still effective to draw a sample.
