Can someone help 10 points

A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the

forsale [732]

<h3>The probability of student passing the quiz with at least 50% of the questions correct is 0.05457.</h3>

Step-by-step explanation:

Here, the total number of T/F question = 10

The minimum answers needed correctly answered = 8

So, student needs to answer at least 8 questions correctly.

Here, the possibility of answering a question correctly = $(\frac{1}{2})$ = p = 0.5

Also, the possibility of answering a question wrong = $(\frac{1}{2})$ = q = 0.5

Now, to pass he needs to answer 8 or more ( 8 , 9 or 10) answers correctly.

P(answering 8 correct answer) = $^{10}C_8(p)^8(q)^2 = ^{10}C_8(0.5)^8(0.5)^2 = 0.0439$

P(answering 9 correct answer) = $^{10}C_9(p)^9(q)^1 = ^{10}C_9(0.5)^9(0.5)^1 = 0.0097$

P(answering 10 correct answer) = $^{10}C_{10}(p)^{10}(q)^0 = ^{10}C_{10}(0.5)^{10}(0.5)^0 = 0.00097$

So, the total Probability = P(8) + P(9) + P(10)

= (0.0439) + (0.0097) + (0.00097)

= 0.05457

Hence, the probability that the student passes the quiz with at least 8 of the questions correct is 0.05457.

6 0

4 years ago

Solve the system of equations 10×+7y=99andy-×=2?

djverab [1.8K]

You can use substitution and solve y-x=2 for y which is y= x+ 2 and plug it into the y of the other equasion and you get x=5 y=7

8 0

3 years ago

hannahs exercise goal is to walk at least 6 1/2 miles this week. she has already walked 2 3/4 miles this week. write and solve a

Ne4ueva [31]

We want to write an inequality that tells how much Hannah should walk this week. The inequality will be:

x ≥ (3 + 3/4) mi

<h3>Finding the inequality:</h3>

We know that she already did walk 2 3/4 miles this week, and she wants to walk at least 6 1/2 miles.

So to reach that minimum, she needs to walk:

(6 1/2)mi - (2 + 3/4) mi = (3 + 3/4) mi

And she can walk that or more, so the inequality is:

x ≥ (3 + 3/4) mi

Where x represents how much she will walk this week.

If you want to learn more about inequalities, you can read:

brainly.com/question/11234618

6 0

2 years ago

Brian is a software salesman. His base salary is $2500 , and he makes an additional $50 for every copy of History is Fun he sell

QveST [7]

P = 50N + 2500 <== ur equation

for 23 copies...sub in 23 for N

P = 50(23) + 2500
P = 1150 + 2500
P = 3650 <==

6 0

3 years ago

Read 2 more answers

hich statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same

Sati [7]

Answer:

$p(x)$ and $q(x)$ have the same domain and the same range.

Step-by-step explanation:

$p(x) = 6-x$ and

$q(x) = 6x$

First of all, let us have a look at the definition of domain and range.

Domain of a function $y =f(x)$ is the set of input value i.e. the value of $x$ for which the function $f(x)$ is defined.

Range of a function $y =f(x)$ is the set of output value i.e. the value of $y$ or $f(x)$ for the values of $x$ in the domain.

Now, let us consider the given functions one by one:

$p(x) = 6-x$

Let us sketch the graph of given function.

Please find attached graph.

There are no values of $x$ for which p(x) is not defined so domain is All real numbers.

So, domain is $(-\infty, \infty)$ or $x\in R$

Its range is also All Real Numbers

So, Range is $(-\infty, \infty)$ or $x\in R$

$q(x) = 6x$

Let us sketch the graph of given function.

Please find attached graph.

There are no values of $x$ for which $q(x)$ is not defined so domain is All real numbers.

So, domain is $(-\infty, \infty)$ or $x\in R$

Its range is also All Real Numbers

So, Range is $(-\infty, \infty)$ or $x\in R$

Hence, the correct answer is:

$p(x)$ and $q(x)$ have the same domain and the same range.

4 0

3 years ago