1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nesterboy [21]
3 years ago
10

Boris is taking a quiz for an online class. For the quiz, the system randomly assigns 2 high-difficulty questions, 7 moderate-di

fficulty questions, and 6 low-difficulty questions. What is the probability that Boris is assigned a moderate-difficulty question first?
Give your answer as a fraction​
Mathematics
1 answer:
Leviafan [203]3 years ago
8 0

Answer:

\frac{7}{15}

Step-by-step explanation:

The probability that Boris is assigned a moderate-difficulty question would be the ratio of number of moderately difficult questions to the number of total questions available.

The quiz consists of 2 high difficulty, 7 moderate difficulty, and 6 low difficulty questions. That is 2 + 7 + 6 = 15 questions in total.

and

the number of moderately difficult questions is 7

Hence the probability would be 7/15

You might be interested in
The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 2.
maksim [4K]
The last description actually clarifies the given equation. The equation should be written as: f(x) = 2ˣ +1. The x should be in the exponent's place. 

The average rate of change, in other words, is the slope of the curve at certain points. In equation, the slope is equal to Δy/Δx. It means that the slope is the change in the y coordinates over the change in the x coordinate. So, we know the denominator to be: 2-0 = 2. To determine the numerator, we substitute x=0 and x=2 to the original equation to obtain their respective y-coordinate pairs.

f(0)= 2⁰+1 = 2
f(2) = 2² + 1 = 5

So, the slope is equal to:

Average rate of change = (5 - 2)/(2 - 0)
Average rate of change = 3/2 or 1.5
4 0
4 years ago
Read 2 more answers
The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation c = 3. 5b. Whi
Dmitrij [34]

The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable. The values given in the table 3 matches the equation and includes the viable solutions.

<h3>Given information-</h3>

The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation,

c=3.5b

The quantity of the bread depends on the quantity of the loaves.

<h3>Dependent variable</h3>

The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable.

Lets check which table satisfy the above equation.

Table 1-

In the table the first values of the bread and the loves is -2 and -7. The quantity of a bread and loves can not be negative. Thus the table 1 does not provides the viable solution.

Table 2-

In the table 2 the value of the third row is 1.5 loaves and 5.25 breads. Check this by the given equation. When the value of loaves is 1.5 then the value of the bread is,

c=3.5\times1.5

c=4.5

The value of bread must be 4.5. Thus the table 2 does not provides the viable solutions.

Table 3-

Put the values of the loaves in the given equation one by one,

When the value of loaves is 0 then the value of the bread is,

c=3.5\times0=0

When the value of loaves is 3 then the value of the bread is,

c=3.5\times3=10.5

When the value of loaves is 6 then the value of the bread is,

c=3.5\times=21

When the value of loaves is 9 then the value of the bread is,

c=3.5\times9=31.5

All the values of the table 3 satisfies the given equation.

Hence, the values given in the table 3 matches the equation and includes the viable solutions.

Learn more about the dependent variables here;

brainly.com/question/967776

8 0
3 years ago
What is the radius and center of (y-7)^2=25-(x-3)^2
nexus9112 [7]
Center: (3,7)
Radius: 5
6 0
3 years ago
10
FromTheMoon [43]

The total amount shared by the friends illustrates mean and average, and the amount spent by each friend is $11.5

<h3>How to determine the amount?</h3>

The given parameters are:

  • Total = $76
  • Tip = $16
  • Number of friends = 8

The amount spent by each friend is calculated using:

Amount = (Total + Tip)/Number of friends

So, we  have:

Amount = (76 + 16)/8

Evaluate

Amount = 11.5

Hence, the amount spent by each friend is $11.5

Read more about mean and average at:

brainly.com/question/20118982

#SPJ1

8 0
2 years ago
If the sales tax in you city is 4.7% and an item cost $164 before tax how much tax would you pay on that item round to the neare
ad-work [718]
So far I used a Sales Tax Calculator and I found out the sales tax would be 
$7.71 cents.

I could copy the answer for prooSales Tax Calculator
Enter Cost/Price:164 
<span>Enter Sales Tax %:4.7
</span>Total Tax:7.71
<span>Total Cost/Price:</span>

8 0
4 years ago
Other questions:
  • Find the exact values of the remaining trigonometric functions of θ satisfying the given conditions. (if an answer is undefined,
    12·1 answer
  • Which events are independent? Check all that apply. rolling two number cubes at the same time choosing a card, and then flipping
    14·2 answers
  • Solve for "x"4x-(2x 3)=7
    7·1 answer
  • Mrs. McDonnell is making 25 paper cones to fill with popcorn for her daughter's birthday party. 4 inches 7 inches Find the volum
    12·1 answer
  • Perimeter of a regular pentagon is 5 times the length of its side
    5·1 answer
  • What is the value of the expression 3 – a – b when a = 15 and b = –3?
    7·2 answers
  • Jessica had baseball cards she gave 3 to her friends she now has 9 baseball cards left how many baseball cards did she have to s
    14·1 answer
  • Jenny made 200 bracelets. She sold 64% of the bracelets at a craft fair.
    10·2 answers
  • Write three hundred and ninety six million two hundred and forty two thousand and two as a numeral
    6·2 answers
  • What is the surface area?<br> 4 m<br> 5 m<br> 12m
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!