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krok68 [10]
3 years ago
12

Which of the following are examples of inferential statistics?

Mathematics
1 answer:
Natali [406]3 years ago
5 0
Testing random samples of lightbulbs produced by a company to confirm they work and testing a new drug on a random sample of patients to see how effective it is at curing the flu are examples of inferential statistics. The correct option among all the options that are given in the question are option "C" and option "E".
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Given f(x) = 4x^4 find f^-1(x) Then state whether f^-1(x) is a function.
sdas [7]

Answer:

  • f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}
  • f^{-1}(x) \quad\text{is not a function}

Step-by-step explanation:

To find the inverse function, solve for y:

x=f(y)\\\\x=4y^4\\\\\dfrac{x}{4}=y^4\\\\\pm\sqrt[4]{\dfrac{x}{4}}=y\\\\f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}

f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.

___

A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.

The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.

__

Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.

_____

The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.

5 0
3 years ago
A bag contains 6 red marbles, 10 white marbles, and 7 blue marbles. You draw 4 marbles out at random, without replacement. What
Lapatulllka [165]

Answer:

3/1771

Step-by-step explanation:

Probability is the chance or likelihood that an event will occur.

Probability = expected outcome/total outcome

Total outcome = total number of marbles

Total outcome = 6+7+10 = 23marbles

If four marbles are drawn, the probability that they are all red is expressed as;

Pr(picking the first red marble) = 6/23

Since it is without replacement, the total marble becomes 22

Pr(picking the second) = 5/22

Pr(picking the third marbles = 4/21

Pr(picking the 4th marble) = 3/20

Note that the number of red marbles keep reducing and the total marble keep reducing as well.

Pr(picking the 4marbles) = 6/23×5/22×4/21×3/20 (we multiplied because or is an independent events)

Pr(picking the 4marbles) = 360/212520

Pr(picking 4 red marbles) = 72/42504 =36/21,252

= 9/5313

= 3/1771

Hence the probability of picking 4 marbles at random without replacement is 3/1771

4 0
3 years ago
Write the expression (−2)·(−2)·7·7·7·7·7 using exponents.
NeTakaya

Answer:(-2)^{2}*7^{5}

Step-by-step explanation:

You have to group all of the same one's together and however many there is, you add that number as the exponent.

There were 2 "(-2)" so that became (-2)^{2}, and there were 5 "7" so that became 7^{5}. You keep the symbol and put it together which became (-2)^{2}*7^{5}

5 0
2 years ago
The table shows the distance y (in miles) that you travel on a road in x minutes. What type of function best models the data?
evablogger [386]

Answer:

Linear Function

Step-by-step explanation:

Given

The table showing values of x and y

Required

Determine the type of function

To determine the type of function, the table represents;

One will need to determine the table equation.

Start by solving for the slope;

m = \frac{y_1 - y_2}{x_1 - x_2}

When x - 0; y = 0 and When x = 80; y = 60.

This gives

m = \frac{0 - 60}{0 - 80}

m = \frac{- 60}{- 80}

m = \frac{3}{4}

The formula is determine as follows;

y - y_1 = m(x - x_1)

When x - 0; y = 0; m = 3/4; This gives

y - 0 = \frac{3}{4}(x - 0)

y = \frac{3}{4}(x - 0)

Open Bracket

y = \frac{3}{4}x - 0

y = \frac{3}{4}x

The above is an example of a linear equation.

<em>Hence; option B answers the question</em>

8 0
3 years ago
the sum of two numbers is 78. one of the numbers is 4 more than the other number, what are the two numbers?
ladessa [460]

The two numbers are 41 & 37.

The way to solve this is by setting up an equation. We know that 2 numbers are going to equal 78, so here would be the general equation (let x represent the number we don't know):

(x) + (x + 4) = 78

Now, we need to simplify it (combine like terms):

2x + 4 = 78

Then you can solve it like any other equation. Subtract 4 on both sides:

2x = 74

Divide by 2 on both sides:

x = 37.

So, now you know one number is equal to 37 and that the other is 37 + 4.

That's how you get 37 & 41.

7 0
3 years ago
Read 2 more answers
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