I need help with my homework please answer this correctly

On a six-question multiple-choice test there are five possible answers for each question, of which one is correct and four are i

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

given that on a six-question multiple-choice test there are five possible answers for each question, of which one is correct and four are incorrect

By mere guessing probability for choosing correct answer = p = 0.2

also each question is independent of the other

Hence if X is the number of correct questions then

X is binomial with p = 0.2 and n = 6

a) being correct on three questions,

= $P(X=3) = 0.08192$

(b) being correct on four questions,

= $P(X=4) = 0.01536$

(c) being correct on all six questions

= $P(x=6) = 0.000064$

8 0

3 years ago

If 75 is added to a number, the result is 39 less than three times the number.find the number

antoniya [11.8K]

Answer:

The answer is x=57

Step-by-step explanation:

First, we would set the number to x.

Then, we turn the words into an equation.

x+75 = 3x-39

Isolate the x.

-2x = -114

So...

x = 57

3 0

3 years ago

Help plzzzzz help me

Yakvenalex [24]

Answer: 10 < x < 60, or x is from 10 to 60

Step-by-step explanation: A domain of a graph consists of all of the input values shown on the x-axis while the range consists of all of the output values shown on the y-axis. Since the question asks to find the domain, you should look at the values of the graph from left to right. The domain includes all real numbers. Notice the black horizontal line on the graph and match up the beginning of it and the end of it with the values on the x-axis. The line begins at an x-value of 10 and ends at an x-value of 60; therefore, the domain (x-values) is from 10 to 60.

8 0

3 years ago

nter an equation and an answer to the following question: What is the original list price if the discount is $25 and the discoun

castortr0y [4]

Let us set up an equation, to determine the list price. X represents the original price

.12 * x = 25

In order to solve for X, you must divide .12 from both sides

x = 25/.12

After you divide, you should get the number 208.33

25/.12 = 208.33

So, the original list price is $208.33

7 0

3 years ago

Read 2 more answers

Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .