Joe has a selection of music on his mp3 player. He has 21 classical songs, 243 rock songs, 125 rap songs and 1 country song. What is the probability that the first 2 songs he randomly chooses are rap? (Show your work)
Answers
Joe has a selection of music on his mp3 player.
He has 21 classical songs, 243 rock songs, 125 rap songs and 1 country song.
What is the probability that the first 2 songs he randomly chooses are rap?
Solution
We have 21 classical songs,
243 rock songs,
125 rap songs and
1 country song
Total : 390
Probability that the first 2 songs he randomly chooses are rap
= 125 / 390 X 125 / 390
= 625 / 6084
Related Questions
you have 60 oz of egg noodles. yiu need 5 oz to make one serving of chicken noodle soup. how maby servings can you make
Answers
Answer:
The answer is 12
Step-by-step explanation:
You have to divide 5 and 60 or you can multiply by 5 until you get to 60.
Answer:
12
Step-by-step explanation:
60/5=12
David has a 6-foot-long board he needs to cut into 8 equal pieces.
What will be the length, in feet, of each piece?
Answers
Answer:
i think it would be 9cm for each piece
Step-by-step explanation:
i did 12 times 6 which was 72 then i divided by 8 and got 9 so i think that might be the answer.
Which expression is equal to the polynomial below 2x^4+5x^3-8x-20
Answers
The expression that is equal to the given Polynomial expression is (x^3-4)(2x+5).
The polynomial expression given is 2x^4+5x^3-8x-20. We have to identify the expression that is equal to this given polynomial expression.
We will factor the given polynomial expression to determine the equivalent expression. We can use factorization by grouping to factor the expression completely and determine the equivalent expression .
Factorization by grouping:
We can group the first two terms 2x^4 and 5x^3 together and factor out x^3 from them. We can also group the last two terms -8x and -20 together and factor out -4 from them.
This gives us;2x^4+5x^3-8x-20= x^3(2x+5)-4(2x+5) =(x^3-4)(2x+5)
Therefore, the expression that is equal to the given polynomial expression is (x^3-4)(2x+5).
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Evaluate 30 x 8 step by step
Answers
3x8=24
8x0=0
When moving to tenths place add 0 to end on 24 to get 240
The value of expression 30 × 8 is,
⇒ 240
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
The expression is,
⇒ 30 × 8
Now, We can multiply the expression as;
⇒ 30 × 8
30
× 8
--------
240
-------
Thus, The value of expression 30 × 8 is,
⇒ 240
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how do u graph the solution y=2x-1 iready
Answers
Answer:
Step-by-step explanation:
y=mx+b
m= slope and b= y intercept
you'll start with a point on the y axis on -1
and the slope will go up so towards the right corner up but 2/1 points
The coordinates of the point P are (−6,−2) and the coordinates of point Q are (−6,9). What is the distance, in units, between the point P and point Q?
Answer____________Units.
Answers
Answer:
The distance in units would be -8, -3.
Step-by-step explanation:
Mid topic checkpoint chapter 4 for questions 3,and 4
Answers
3) The equation of the linear model would be y = 7.5x+60.
4) If Adam studies for 6 hours then his score would be 88.
What is the Linear equation?
An algebraic equation with only a constant and a first-order (linear) term is said to be linear if it has the formula y = mx + b, where m is the slope and b is the y-intercept. The above is occasionally referred to as a "linear equation with two variables," where y and x are the variables.
y = mx + c
where m denotes the slope.
The y-intercept is represented by the constant c. (Where x is zero)
In our instance, y-intercept equals 60.
The line's equation will therefore be:
y = mx + 60
y = mx + 60
There are given the line's coordinates (4, 90). These considerations will thus satisfy the equation.
90 = 4*m + 60
4.m = 30 m = 7.5 m = 7.5 y = 7.5x + 60 y = 7.5 * 6 + 60 y = 45 + 60 y = 105 is
y = 7.5x + 60.
If Adam's study for 6 hours then his score would be
y = 7.5x + 60.
y = 7.5(6) + 60
y = 105
Hence,
3) The equation of the linear model would be y = 7.5x+60.
4) If Adam studies for 6 hours then his score would be 88.
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The measure of an angle is 1°. Find the measure of the complement.
Answers
The measure of the complement of a 1-degree angle is 89 degrees.
The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.
Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:
1 degree + x degrees = 90 degrees.
To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:
x degrees = 90 degrees - 1 degree.
Simplifying the right side, we get:
x degrees = 89 degrees.
In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.
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A car is purchased for $26,500 . After each year, the resale value decreases by 25% . What will the resale value be after 4 years?
Answers
Answer:
the resale value after 4 years would be 11,812.5
Step-by-step explanation:
I'm sorry if this is wrong this is based on what I know :)
Answer:
The answer to your question is $8,384.77
Step-by-step explanation:
Average annual value lost: $12,913.57
First year depreciation: $6,625.00
Total depreciation: $18,115.23
Total depreciation percentage: 68.36%
Value of vehicle at end of ownership period: $8,384.77
I hope this helps and have a wonderful day!
Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answers
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.
What is 9 to the power of 2?
Answers
Answer:
9x9 = 81
The Steps ↓
9 to the power of 2 means 9 times itself 1 time. This goes for any other number in other situations. The term is often referred to as squared.
9
x 9
81
Troy had a score of 83 on his last Psychology Exam. For the same test, the class average was 76.80 with a standard deviation of 3.10. Based on this information, answer the questions that follow using the formulas provided (z-table is provided pp. 8-11 of this test). For full credit show all your work.
z= X−M/SD X=(z)(SD)+M
=
−
=
+
Convert his score to a z-score and plot on a distribution. Show your work. (6 points)
Camera
Convert his score to a percentile rank. Show your work. (4 points)
Camera
Describe Troy performance on this exam as compared to the average score on this exam. Did he perform relatively higher, lower, or the same? Explain how you made your decision. (3 points)
What percentage of scores are between his score and the average score in the class? Explain how you know. (3 points)
Troy’s dad promised to pay for his cell phone bill if he scored in the top 10% of his class on every test. Compute the score for to find the raw score that corresponds to the 10% using the formula provided. Then answer the question - Did he perform in the top 10% of his class on this exam? Show your work. (3 points)
Answers
Therefore, Troy's actual score is 83.10.
What is Probability?Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an event that is impossible, and 1 represents an event that is certain. The probability of an event can be determined by dividing the number of ways that event can occur by the total number of possible outcomes. Probability is widely used in various fields, including mathematics, statistics, science, engineering, economics, and finance, to model uncertain events and make predictions.
To answer the questions, we need to calculate the z-score for Troy's exam score and then use the z-table to find the probability or percentage associated with that z-score.
First, let's calculate the z-score for Troy's exam score:
\(z = (X - M) / SD\)
where X is Troy's score, M is the class average, and SD is the standard deviation.
\(z = (83 - 76.80) / 3.10\)
\(z = 2.00\)
Next, let's use the z-table to find the probability associated with a z-score of 2.00. We look up the value in the body of the table, which is 0.9772. This means that the probability of getting a z-score of 2.00 or higher (i.e., a score higher than Troy's) is 0.9772.
To find the percentage of students who scored lower than Troy, we can subtract the probability found above from 1, since the total probability for all possible outcomes is 1.0.
\(P(X < 83) = 1 - 0.9772\)
\(P(X < 83) = 0.0228\)
So, the percentage of students who scored lower than Troy is 2.28%.
Finally, we can use the formula provided to calculate Troy's actual score if we know his z-score, standard deviation, and class average:
\(X = (z)(SD) + M\)
\(X = (2.00)(3.10) + 76.80\)
\(X = 83.10\)
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pls hurry I need this. can y'all answer this ?
Answers
1.)12.9%
2.)45.15%
3.)I need the full sentence to figure it out
Hope this helps
Have a great day/night
(If you want me to explain then please ask)
7. The Taylor Rule states that the central bank should set the short-term nominal interest rate (i)
based on the inflation gap [the difference between inflation (3.14) and desired inflation (3.14*)] and the
output gap (the percentage difference between real GDP (Y) and potential GDP (Y*) An
example of a Taylor Rule would be the formula
i - 3.14 = 1.5 +0.5(3.14-3.14*) +0.5 (Y-Y*/Y*)
The term on the left-hand side is the real interest rate. Consider the following table
Inflation rate (3.14), %
Target inflation rate (3.14*), %
Output gap, %
Real interest rate
Nominal interest rate
Base Scenario Scenario B Scenario C
4.0
20
2.0
20
0.0
20
20
20
00
a. Fill in the real and nominal interest rates chosen by the policy maker in the base scenano
b. How does scenario B differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move the inflation rate toward its target?
c. How does scenario C differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move output toward the potential level?
d. Suppose a new chair of the central bank is appointed and she switches to a new policy rule of
the form given in the next equation. Recalculate the real and nominal interest rates for the
three scenarios. What has been the effect of the change in weights?
i-3.14=1.5 +0.75(3.14-3.14*) +0.25(Y-Y*/Y*)
Answers
The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%
a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.
b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).
Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).
Now, let's calculate the real interest rate.
Real interest rate in base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)
= 19.22%.
The real interest rate has moved in the direction to move inflation rate towards its target.
c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.
Inflation gap is 0% in both the scenarios
Inflation rate is 3.14% and in scenario C, inflation rate is 2%.
Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)
= 20.15%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.
The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.
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WORK OUT THE AREA OF THIS circle take pie to be 3.142 your answer to 2 decimal places
Answers
Answer:
0.003142 I think
line with slope m
below:
2|5
and containing the point (10,-5). Type your answer is slope-inte
Answers
Step-by-step explanation:
y=mx+b
y= -5 x= 10
-5 = 2/5 (10) + b
-5 = 4 + b
b= -9
the equation of aline is y = 2/5(x) -9
or 2x = 5y + 45
Write a linear equation representing the information shown in the table.
A) y = 2x + 10
B) y = –2x + 10
C) y = 10x – 2
D) y = 10x + 2
Answers
Answer:
b
Step-by-step explanation:
y=-2x+10
y=-2×0+10 y=10
y=-2×1+10 y=8
y=-2×2+10 y=6
y=-2×3+10 y=4
Answer: B. y = –2x + 10
Step-by-step explanation:
An architect’s blueprint for a new house shows the kitchen being 7 inches wide. If the scale used to create the blueprint is 0.5 in. = 1 ft, what is the actual width of the kitchen?
Answers
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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please help me. i really need it
Answers
Answer:
4c+6≤−10
4c+6−6≤−10−6 ... subtract 6
4c≤−16...divide both sides by 4
final: c≤−4
5c-3>2
5c-3>2...add 3
5c>5...divide by 5
c>1
3. Solve the quadratic by taking square roots. Write your answer with no spaces as x=a, -a where a and-a are the values you found when solving. Round to
the nearest tenth.
2x^2- 9 = 121
Answers
Answer:
*7898+walle was a good movie tbh
Step-by-step explanation:
2x^yej(0)
Jordan's raise last year was 3 percent of her salary, but inflation numbers released yesterday indicated that inflation was 3 percent last year. How much did Jordan's purchasing power increase?
Answers
Since the inflation was exactly increased to the same percentage as the salary increase of Jordan, the increase in his purchasing power is zero.
What is inflation?Inflation is a sustained increase in the general price level of goods and services in an economy over a period of time. When the general price level rises, each unit of currency buys fewer goods and services; consequently, inflation reflects a reduction in the purchasing power of money.
If the pay raise is not above the percentage of the inflation then there would be no net increase in the purchasing power.
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By observing a set of data values, Tina used a calculator for the engine speed (rpm) and predicted horsepower (hp) to get an equation for the least-squares line: ŷ = 10 + 30x. Based on the data that Tina collected, select the statement that is TRUE. a.) The horsepower associated with an engine speed of 2.5 rpm would be 85 hp. b.) The horsepower associated with an engine speed of 3.5 rpm would be 110 hp. c.) The horsepower associated with an engine speed of 0.5 rpm would be 40 hp. d.) The horsepower associated with an engine speed of 1.5 rpm would be 70 hp. SUBMIT MY ANSWER
Answers
The statement that is true is a) The horsepower associated with an engine speed of 2.5 rpm would be 85 hp.
To use the equation ŷ = 10 + 30x, we need to plug in the value of x (engine speed in rpm) to find the predicted value of y (horsepower).
a) For x = 2.5, ŷ = 10 + 30(2.5) = 85. Therefore, the horsepower associated with an engine speed of 2.5 rpm would be 85 hp.
b) For x = 3.5, ŷ = 10 + 30(3.5) = 115. Therefore, the statement is false.
c) For x = 0.5, ŷ = 10 + 30(0.5) = 25. Therefore, the statement is false.
d) For x = 1.5, ŷ = 10 + 30(1.5) = 55. Therefore, the statement is false.
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While rolling, a wheel with a diameter of 7/2 ft makes 112 revolutions. Find the distance that is traveled by the wheel. Use 22/7 for π.
Answers
Answer:
1232 is the answer
Step-by-step explanation:
distance= 22/7 ×7/2 ×112
=1232
Answer:
1232 ft.
Step-by-step explanation:
Distance travelled = circumference of the wheel * number of revolutions
= 7/2 * 22/7 * 112
= 22/2 + 112
= 11 * 112
= 1232 ft.
Jemma and Debra work as consults. They both get hired for jobs. Jemma charges a fee of $5 plus an additional $22 per hour. Debra charges $20 per hour. Write an expression that
Answers
Answer:
Jemma: 22x + 5
Debra: 20x
Step-by-step explanation:
What is 4 3/5 of 45?
Answers
Answer: 207
Step-by-step explanation:
Let's start by converting 4 3/5 to an improper fraction. We do this by multiplying 4 * 5 and adding it to 3. This full equation is (4 * 5) + 3 = 23. We then have 23/5. We multiplying this by 45 to get our answer. This is done by multiplying 23 * 45 and then dividing that by 5. This full equation is (23 * 45) / 5 = 207. Therefore, our answer is 207.
A local little league has a total of 90 players, of whom 20% are left-handed. How many
darbare
Answers
Answer:
around 50 0f 70
i think
Step-by-step explanation:
Which similarity statement is true for rectangles JKLM and PQRS, given that JK=6, JM=5, QR=15, and PQ=12.5? A. rectangle JKLM ~ rectangle PQRS B. rectangle JKLM ~ rectangle QRSP C. rectangle JKLM ~ rectangle RQPS D.rectangle JKLM~ rectangle SRQP
Answers
Answer:
B: rectangle JKLM ~ rectangle QRSP
Step-by-step explanation:
5/6=0.83
12.5=0.83
JK corresponds to QR
JM corresponds to PQ
rectangle JKLM ~ rectangle QRSP
1079 divided by 4 Yeah Also whoever helps thank you :D
Answers
Answer:
269.75
Hope this helps:)
Step-by-step explanation:
A tank contains 1,000 L of brine with 12 kg of dissolved salt. Pure water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes
Answers
Answer:
y = 12*e^[-t/100]
Step-by-step explanation:
We have to mix problems we use:
dy / dt = (rate in) - (rate out)
The water entering the tank at a speed of 10 L / min but it has no salt, therefore
rate in = 0
The tank has 1000 liters of brine with 12 kg of salt initially, therefore the concentration of salt at time "t" is:
y (t) / 1000
then rate out would be:
rate out = y (t) / 1000 * 10 = y (t) / 100
The difference equation would then be:
dy / dt = 0 - y (t) / 100
1 / y (t) * dy = 1/100 * dt
We integrate from both sides and we have:
ln y = - (1/100) * t + C1
y = e ^ [- (1/100) * t + C1]
y = e ^ [- (1/100) * t] * e ^ [C1]
We assume that C = e ^ [C1]
Thus:
y = C * e ^ [- (1/100) * t]
now y = 12 to t = 0, replacing:
12 = C * e ^ [- (1/100) * 0]
12 = C, therefore we would have:
y = 12 * e ^ [- t / 100]