1) f(x) = - x2 + 4x - 10<br> Find f(5)

Choose the TWO factored binominals for the expression: x2+6x – 27 Question 6 options: A) (x - 3) B) (x - 9) C) (x + 6) D) (x + 9

Vera_Pavlovna [14]

Answer:

A) x-3 and D) x+9

Step-by-step explanation:

x^2 + 6x - 27

You need to find two numbers that multiply to -27 and add up to 6

Those two numbers are -3 and 9, because 9 * -3 = -27 and 9+ -3 = 6

So you add those to x and those are your two factored binomials

(x-3) and (x+9)

4 0

3 years ago

A simple random sample of n measurements from a population is a subset of the population selected in a manner such that which of

Ierofanga [76]

Answer:

a) sample of size n from the population has an equal chance of being selected.

b) Every member of the population has an equal chance of being included in the sample.

Step-by-step explanation:

Simple random sampling:

It is a type of probabilistic sampling.
It is an unbiased representation of population.
The probability of selection is equal for every observation.
A sample is taken in such a way that each member has an equal probability of being selected.
A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.
Thus,the correct interpretation is given by,

a) sample of size n from the population has an equal chance of being selected.

b) Every member of the population has an equal chance of being included in the sample.

c) The simplest method of selection is used to create a representative sample.

The statement is false.

There is no pattern or technique used for selection. The selection is purely random.

d) Each subset of the population has an equal chance of being included in the sample.

The statement is false.

Each object of the population has an equal chance of being included in the sample. and not each subset.

e) Every sample of size n from the population has a proportionally weighted chance of being selected.

The given statement is false.

8 0

3 years ago

Angie is organising a party for 84 adults and 42 children.

makvit [3.9K]

Add up the 84 and 42 to get 126, then divide by 6 to get the number of tables which is 21. And the number of seats is 126 because you would need a seat for every person. Hope this helps.

3 0

3 years ago

Write 12 as a product of three primes

cestrela7 [59]

Answer:

2 * 2 * 3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

MAJOR HELP!

Feliz [49]

Answer:

The radius of the cone is 21 units

The volume of the cone is 9702 units³

Step-by-step explanation:

* Lets revise the area of the circle and the volume of the cone

- The base if the cone is a circle

- The area of the circle is πr², where r is the radius of the circle

∵ The area of the base of the cone = 1386 units²

∵ The area of the base = πr²

∵ π = 22/7

∴ 1386 = 22/7 (r²) ⇒ multiply each side by 7

∴ 9702 = 22 r² ⇒ divide both sides by 22

∴ 441 = r² ⇒ take √ for both sides

∴ 21 = r

* The radius of the cone is 21 units

- The volume of the cone = 1/3 πr²h , where h is the height of the cone

∵ The cone's height is equal to the radius of its base

∴ h = r

∵ The volume of the cone = 1/3 πr²h

∴ The volume of the cone = 1/3 πr²(r) = 1/3 πr³

∵ r = 21 units

∴ The volume of the cone = 1/3 (22/7) (21)³

∴ The volume of the cone = 9702 unit³

* The volume of the cone is 9702 units³

3 0

4 years ago

1) f(x) = - x2 + 4x - 10 Find f(5)