answer.
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
lisov135 [29]
2 years ago
10

Matty’s piano book includes 15 songs in the key of C, 10 in the key of G, and 5 in the key of F. The songs from all three keys a

ppear in random order. Over the past month, Matty has randomly opened his piano book to a song in the key of C 80 times, the key of G 30 times, and the key of F 10 times. What are the theoretical and experimental probabilities that the next song Matty randomly picks will be in the key of G?
Mathematics
1 answer:
Marta_Voda [28]2 years ago
6 0

Matty's piano is going to a random key of c next.

You might be interested in
The cost of 9 scarves is $65.25. What is the unit price?<br><br> The unit price is $____ per scarf.
Strike441 [17]

Answer:

7.25 each or 7.00 if rounded

Step-by-step explanation:

3 0
1 year ago
Read 2 more answers
How many terms are present in the expression (2 + 5 + 8)? A). 1. B). 2. C). 3. D). 15.
Arlecino [84]
In this specific problem each term is separated by an addition sign , so you have a total of 3 terms . The correct answer is " C."<span />
4 0
2 years ago
Read 2 more answers
The area of a trapezoid is 140 cm2 and the height is 20 cm. What is the sum of the bases?
Reil [10]
D 7
A million apologies if I’m wrong half of my brain is still on vacation!
6 0
2 years ago
Read 2 more answers
Chuck has a gross pay of $815.70. By how much will Chuck’s gross pay be reduced if he has the following items withheld? federal
tangare [24]

Chuck has a gross pay of $815.70. His gross pay will be reduced by:

  • Federal tax of $56;
  • Social Security tax that is 6.2% of his gross pay;
  • Medicare tax that is 1.45% of his gross pay;
  • State tax that is 19% of his federal tax.

Let's count:

1. gross pay of $815.70 - 100%,

Social Security tax of $x - 6.2%.

Then

\dfrac{815.70}{x}=\dfrac{100}{6.2} ,\\ \\815.70\cdot 6.2=x\cdot 100,\\ \\x=\dfrac{815.70\cdot 6.2}{100} =50.5734.

2. gross pay of $815.70 - 100%,

Medicare tax of $y - 1.45%.

Then

\dfrac{815.70}{y}=\dfrac{100}{1.45} ,\\ \\815.70\cdot 1.45=y\cdot 100,\\ \\y=\dfrac{815.70\cdot 1.45}{100} =11.82765.

3. Federal tax of $56 - 100%,

State tax $z - 19%.

Then

\dfrac{56}{z}=\dfrac{100}{19} ,\\ \\56\cdot 19=z\cdot 100,\\ \\z=\dfrac{56\cdot 19}{100} =10.64.

4. Chuck’s gross pay will be reduced by

\$56+\$50.5734+\$11.82765+\$10.64=\$129.04105\approx \$129.04.

3 0
2 years ago
Read 2 more answers
Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be model
ohaa [14]

Answer:

(2, 11/2)

Step-by-step explanation:

This is a vertical parabola; we know that because x is squared here, while y is not.  The standard equation of a vertical parabola with vertex (h,k) is

4p(y-k) = (x-h)^2, where p is the distance between the vertex and the focus.  Comparing

4p(y-k) = (x-h)^2 to

10(y-3)  = (x-2)^2, we see that 4p = 10.  Therefore, p = 10/4 = 5/2, which is the vertical distance between the focus and the vertex.

Since the coordinates of the vertex are easily read from the given equation

(x-2)^2=10(y-3):  (h,k) = (2, 3)

all we need to do is to add p (5/2) to the y-coordinate (3);

The focus is at (2, 3 + 5/2), or (2, 11/2).

3 0
1 year ago
Other questions:
  • At Heard High School, the probability that a student takes Advanced Weight Training and Advanced Spanish is 0.099. The probabili
    12·1 answer
  • You have 50 blueberry scones and 75 cranberry scones. You want to make as many identical bags as possible. Each bag should have
    12·2 answers
  • Bailey’s Cakes and Pastries baked a three-tiered cake for a wedding. The bottom tier is a rectangular prism that is 18 centimete
    9·1 answer
  • What value of m makes the equation 5/2(4m-8)- 2(6m -7)= -10 true?
    11·1 answer
  • Robin's scores: 99, 108, 102, 107, 119 mean = 107; mad = 5.2 evelyn's scores: 125, 137, 138, 145, 145 mean = 138; mad = 5.6 expl
    13·2 answers
  • A restaurant served 27,500 customers in 2012. In 2014, the restaurant served 29,000 customers. Write a linear model that represe
    13·1 answer
  • A delivery truck drove 203 miles in 3.5 hours. After unloading and loading new cargo, it traveled on another 243 miles for 4.5 h
    8·1 answer
  • Solve the problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any
    6·1 answer
  • Stephanie has $45,000. Part or all of which she wants to invest into a combination of municipal bonds and corporate bonds. She w
    11·1 answer
  • There are 3 people in a room, and we are curious whether two of them have their birthday in the same month. We record the triple
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!