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3 years ago

7

Suppose a population consists of 50,000 people. Which of the following

1 answer:

vampirchik [111]3 years ago

6 0

Answer:

The number that would represent a sample statistic of a population but not a parameter is:

O A. Neither 500 nor 50,000

Step-by-step explanation:

The reason behind this is that a parameter has to follow a certain guideline because it needs to fulfill a rule to be considered one. There has to be a correlation, so if we have no clear establishment the number can't be a parameter. Thus, 500 would be the minimum 1% to be considered as a parameter and 50,000 the whole universe of the population. They keep a correlation, therefore any number but they would be a sample statistic.

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The cost to rent a rug-cleaning machine from the supermarket is $23 per day. The supermarket charges a check-out fee of $45 for

igomit [66]

Answer:

23d + 45 = 137

Explanation:

Since it is $23 per day, that dollar amount must be associated with a variable that multiples it per day that it is rented. Finally, you need to add the one time $45. This equation can then be used to find how many days it was rented for.

23d + 45 = 137

23d = 92 (Subtract 45 from both sides)

d = 4 (Divide by 23 on both sides)

The rug-cleaning machine was rented for 4 days. You found this using the equation: 23d + 45 = 137

8 0

3 years ago

Prove by mathematical induction that

postnew [5]

For $n=1$ , on the left we have $\cos\theta$ , and on the right,

$\dfrac{\sin2\theta}{2\sin\theta}=\dfrac{2\sin\theta\cos\theta}{2\sin\theta}=\cos\theta$

(where we use the double angle identity: $\sin2\theta=2\sin\theta\cos\theta$ )

Suppose the relation holds for $n=k$ :

$\displaystyle\sum_{n=1}^k\cos(2n-1)\theta=\dfrac{\sin2k\theta}{2\sin\theta}$

Then for $n=k+1$ , the left side is

$\displaystyle\sum_{n=1}^{k+1}\cos(2n-1)\theta=\sum_{n=1}^k\cos(2n-1)\theta+\cos(2k+1)\theta=\dfrac{\sin2k\theta}{2\sin\theta}+\cos(2k+1)\theta$

So we want to show that

$\dfrac{\sin2k\theta}{2\sin\theta}+\cos(2k+1)\theta=\dfrac{\sin(2k+2)\theta}{2\sin\theta}$

On the left side, we can combine the fractions:

$\dfrac{\sin2k\theta+2\sin\theta\cos(2k+1)\theta}{2\sin\theta}$

Recall that

$\cos(x+y)=\cos x\cos y-\sin x\sin y$

so that we can write

$\dfrac{\sin2k\theta+2\sin\theta(\cos2k\theta\cos\theta-\sin2k\theta\sin\theta)}{2\sin\theta}$

$=\dfrac{\sin2k\theta+\sin2\theta\cos2k\theta-2\sin2k\theta\sin^2\theta}{2\sin\theta}$

$=\dfrac{\sin2k\theta(1-2\sin^2\theta)+\sin2\theta\cos2k\theta}{2\sin\theta}$

$=\dfrac{\sin2k\theta\cos2\theta+\sin2\theta\cos2k\theta}{2\sin\theta}$

(another double angle identity: $\cos2\theta=\cos^2\theta-\sin^2\theta=1-2\sin^2\theta$ )

Then recall that

$\sin(x+y)=\sin x\cos y+\sin y\cos x$

which lets us consolidate the numerator to get what we wanted:

$=\dfrac{\sin(2k+2)\theta}{2\sin\theta}$

and the identity is established.

8 0

2 years ago

Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending pow

Fynjy0 [20]

(5x^2 - 7)(5x^2 + 7)
(5x^2)^2 - 7^2
25x^4 - 49

Answer:
25x^4 - 49

Hope this helps.

3 0

2 years ago

Read 2 more answers

Line m has a slope of -3. Another line n is parallel to line m. What is the slop of line n?

mina [271]

Answer:

I think its also -3

because its parallel

7 0

3 years ago

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed

drek231 [11]

21499 +12*x=22.75*x
21499=22.75x-12x
21499=10.75x
x=21499/10.75≈1999.9≈2000 books

4 0

3 years ago