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
zloy xaker [14]
3 years ago
9

Dan earns $42.75 per month working as a tutor. He worked as a tutor for 4 months. He also earned $52.45 walking dogs in the neig

hborhood. He spent $18.50 of his total earning to buy a movie ticket and candy. Dan put of the remaining money in his savings account.
Dan used the following steps to find the total money he put in his savings account:

Step 1: [($42.75 ⋅ 4) + $52.45 − $18.50] ⋅

Step 2: [$171 + $52.45 − $18.50] ⋅

Step 3: 241.95 ⋅

Step 4: $80.65

In which step did Dan first make an error? Use words to explain how Dan can correct his error
Mathematics
1 answer:
In-s [12.5K]3 years ago
5 0
They made an error in step 2 which showed up in step 3. When adding those numbers, Dan should have gotten $223.45 and not $241.95
You might be interested in
Equation for "five elevenths times a number is 55"
nika2105 [10]
Let the unknown number be x.

5/11 * x = 55

Since x is being multiplied by 5/11, and you want x alone, you need to multiply both sides of the equation by the reciprocal of 5/11 which 11/5.

11/5 * 5/11 * x = 55/1 * 11/5

x = 605/5

x = 121

Answer: The number is 121.
4 0
3 years ago
In a multiple choice quiz there are 5 questions and 4 choices for each question (a, b, c, d). Robin has not studied for the quiz
Ahat [919]

Answer:

a) There is a 18.75% probability that the first question that she gets right is the second question.

b) There is a 65.92% probability that she gets exactly 1 or exactly 2 questions right.

c) There is a 10.35% probability that she gets the majority of the questions right.

Step-by-step explanation:

Each question can have two outcomes. Either it is right, or it is wrong. So, for b) and c), we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

In this problem we have that:

Each question has 4 choices. So for each question, Robin has a \frac{1}{4} = 0.25 probability of getting ir right. So \pi = 0.25. There are five questions, so n = 5.

(a) What is the probability that the first question she gets right is the second question?

There is a 75% probability of getting the first question wrong and there is a 25% probability of getting the second question right. These probabilities are independent.

So

P = 0.75(0.25) = 0.1875

There is a 18.75% probability that the first question that she gets right is the second question.

(b) What is the probability that she gets exactly 1 or exactly 2 questions right?

This is: P = P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 1) = C_{5,1}.(0.25)^{1}.(0.75)^{4} = 0.3955

P(X = 2) = C_{5,2}.(0.25)^{2}.(0.75)^{3} = 0.2637

P = P(X = 1) + P(X = 2) = 0.3955 + 0.2637 = 0.6592

There is a 65.92% probability that she gets exactly 1 or exactly 2 questions right.

(c) What is the probability that she gets the majority of the questions right?

That is the probability that she gets 3, 4 or 5 questions right.

P = P(X = 3) + P(X = 4) + P(X = 5)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 3) = C_{5,3}.(0.25)^{3}.(0.75)^{2} = 0.0879

P(X = 4) = C_{5,4}.(0.25)^{4}.(0.75)^{1} = 0.0146

P(X = 5) = C_{5,5}.(0.25)^{5}.(0.75)^{0} = 0.001

P = P(X = 3) + P(X = 4) + P(X = 5) = 0.0879 + 0.0146 + 0.001 = 0.1035

There is a 10.35% probability that she gets the majority of the questions right.

6 0
3 years ago
Please!!!!!!!!! help!!!! me!!!!!!!!!!
LuckyWell [14K]
Hey! the answer is 8 dimes and 4 nickels

8 dimes = 8×10
and 4 nickels = 5×4 = 20
which 20+80 = 100
and I would put (D) break into parts
hope it helps!
5 0
3 years ago
Read 2 more answers
Which shows an equation for this situation?
Artemon [7]

B, T=2L+7, Toby is 2*the age of liv plus 7 years

3 0
3 years ago
Solving the following problem -25 +37=
Lapatulllka [165]
The answer is 12 because it is a negative

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the midpoint of the segment with the following endpoints.<br> (-1,3) and (-9, -7)
    10·2 answers
  • Evaluate 10C4. Type a numerical answer in the space provided. Do not type spaces in your answer.
    14·1 answer
  • Can someone please help me solve this system of equations
    14·1 answer
  • Please help me answer my questions...
    6·2 answers
  • A flare was launched straight up from the ground with an initial velocity of 176 ft/s and returned to the ground after 11 s. The
    8·2 answers
  • Help ASAP ! I’ll give more points
    14·2 answers
  • A teacher grades 27 tests in 3 hours How many tests can the teacher grade in 8 hours if he works at the same rate
    7·2 answers
  • Is the graph of the linear inequality y &gt; -x - 3?
    6·1 answer
  • The length of a rectangle is 4 m
    15·1 answer
  • Solve the system of equations by adding them together term by term to eliminate one variable:
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!