A disc jockey (DJ) has 7 songs to play. Four are slow songs, and 3 are fast songs. Each song is to be played only once. If the first song must be a slow song and the last song must be a slow song, the DJ can play the 7 songs in different ways. (Type a whole number.)
Answers
The DJ can play the 7 songs in 10 different ways or combination.
To determine the number of ways the DJ can play the 7 songs with the given conditions, we can consider the positions of the slow songs and the fast songs.
Since the first song must be a slow song and the last song must also be a slow song, we can fix their positions. Therefore, we have:
Where the underscores represent the remaining 5 positions for the remaining 5 songs.
The DJ has 4 slow songs and 3 fast songs remaining to be placed in these 5 positions. We can choose 2 positions for the fast songs out of the 5 available positions in (5 choose 2) ways.
Using the combination formula, (n choose k) = n! / (k!(n-k)!), where n is the total number of elements and k is the number of elements chosen, we have:
(5 choose 2) = 5! / (2!(5-2)!) = 5! / (2!3!) = (5 * 4) / (2 * 1) = 10.
To learn more about combination go to:
https://brainly.com/question/13095958
#SPJ11
Related Questions
Hexagon PQRSTU is shown on the coordinate grid. Hexagon PQRSTU is dilated with the origin
as the center of the dilation using the rule (x, y) → ( 3 x, 3 y) to create hexagon P'Q'R'S'T'U'.
2 2
Which statement is true?
A) Hexagon P'Q'R'S'T'U' is smaller than hexagon PQRSTU because the scale factor is a fraction.
B) Hexagon P'Q'R'S'T'U' is smaller than hexagon PQRSTU because the scale factor is greater than one.
C) Hexagon P'Q'R'S'T'U' is larger than hexagon PQRSTU because the scale factor is greater than one.
D) Hexagon P'Q'R'S'T'U' is larger than hexagon PQRSTU because the scale factor is less than one.
Answers
Alberto started out bench pressing 60 pounds. He then added 5 pounds every week. Determine whether the situation is linear or nonlinear, and proportional or nonproportional
Answers
Answer
linear
nonproportional
Step-by-step explanation:
Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.
At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.
Answer:
linear
nonproportional
The functions u and w are defined as followu(x)=x-1W(x) = -p²-2Find the value of w(u(-1)).
Answers
Given:
\(\begin{gathered} u(x)=x-1 \\ \\ w(x)=-x^2-2 \end{gathered}\)Let's find the value w(u(-1)).
Let's find w(u(x)).
We have:
\(w(u(x))=-(x-1)^2-2\)Thus, to find w(u(-1)), substitute -1 for x in the equation above:
\(\begin{gathered} w(u(-1))=-(-1-1)^2-2 \\ \\ w(u(-1))=-(-2)^2-2 \\ \\ w(u(-1))=-4-2 \\ \\ w(u(-1))=-6 \end{gathered}\)ANSWER:
w(u(-1)) = -6
IF ANYONE GOES TO MY PAGE AND ASWERS MY 100 POINT QUESTION ILL ADD ANOTHER 100 PLSSSSSS
Answers
Answer:
ok
Step-by-step explanation:
8. A can do a piece of work in 16 days, B in 10 days. A and B work at it together for 6 days and then C finishes it in 3 days. In how many days could C have done it alone? (a) 120 days (c) 140 days (b) 130 days (d) 150 days
Answers
Answer: 120 days
Step-by-step explanation:
A can complete it in 16 days.
=100/16 =6.25%/day.
B has ten days to do it.
10% every day is equal to 100/10.
So they would each contribute 16.25 percent per day as a group.
then for six days,
16.25*6 =97.50percent
97.50% of the work has been finished, in other words.
The amount of work left is now 100-97.5 = 2.5.
C finishes up the remaining job in 3 days
3.5% in 3 days, to be exact.
Consequently, he will finish his entire project in 120 days.
[2.5 * 40 = 100 percent; 40 * 3 = 120 days]
The crime scene with dimensions below is being taped off. If each roll of tape
is 50 feet long, how many rolls are needed to tape off the scene?
Answers
Answer:
4
Step-by-step explanation:
Answer:
the answer is 4 rolls of tape
Step-by-step explanation:
basically just be good and thats all ur welcome
Jamila deposits $800 in an account that earns yearly simple interest at a rate of 2. 65%. How much money is in the account after 3 years and 9 months? Show your work
Answers
. Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers? a.mean b.median c.2ndquartile d.50thpercentile
Answers
The following is the least appropriate measure of central tendency for a data set that contains outliers is 2ndquartile.
A single number that seeks to characterise a set of data by pinpointing the centre position within that set of data is referred to as a measure of central tendency. As a result, measures of central location are occasionally used to refer to measures of central tendency. They also fit within the category of summary statistics. You are probably most familiar with the mean (sometimes known as the average), but there are additional central tendency measures, including the median and the mode.
The mean, median, and mode are all reliable indicators of central tendency, however depending on the situation, some indicators are more useful than others.
Learn more about Central tendency:
https://brainly.com/question/1288901
#SPJ4
3. Is this an arithmetic or a geometric sequence? 5, 10, 15, 20, 25, ...
Answers
Answer:
arithmetric
Step-by-step explanation:
the difference is so simple
Answer:
ARITHMETIC
Step-by-step explanation:
LA GEOMETRÍA ESTUDIA EL ESPACIO FÍSICO.
in what quadrant can you find the point (-5,4)
Answers
Answer:
Quadrant II
General Formulas and Concepts:
The top right square of the Cartesian Plane is the First Quadrant.
The top left square of the Cartesian Plane is the Second Quadrant.
The bottom left square of the Cartesian Plane is the Third Quadrant.
The bottom right square of the Cartesian Plane is the Fourth Quadrant.
Read the Cartesian Plane counterclockwise starting from the top right.
Step-by-step explanation:
Step 1: Define
(-5, 4)
x = -5
y = 4
Step 2: Find
We know since x = -5, our point is either going to be in Quadrant II or IIISince y is positive (4), it will go up, meaning that the point will be in Quadrant IISolve for x by completing the square: x2 - 12x + 11 = 0
A.
(-11,0) and (1,0)
B.
(1,0) and (11,0)
C.
(0,1) and (0,-11)
Answers
Answer:
B
Step-by-step explanation:
x² - 12x + 11 = 0 ( subtract 11 from both sides )
x² - 12x = - 11
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 6)x + 36 = - 11 + 36
(x - 6)² = 25 ( take square root of both sides )
x - 6 = ± \(\sqrt{25}\) = ± 5 ( add 6 to both sides )
x = 6 ± 5
Then
x = 6 - 5 = 1 ⇒ (1, 0 )
x = 6 + 5 = 11 ⇒ (11, 0 )
based on past experience, a hiring manager believes that less than one-third of applicants are actually qualified for an entry-level position. suppose that in a random sample of 144 applicants for this position, 63 are found to be qualified. do the sample data support the manager's belief? test the relevant hypotheses using a
Answers
The no. of people qualified is less than the managers belief of 0.265
What is P-value?
The likelihood of receiving outcomes from a statistical hypothesis test that are at least as severe as the actual results provided the null hypothesis is true, is known as the p-value in statistics. The p-value provides the minimal level of significance at which the null hypothesis would be rejected as an alternative to rejection points. The alternative hypothesis is more likely to be supported by greater evidence when the p-value is lower.
P-value is frequently utilised by government organisations to increase the credibility of their research or reports. The United States Census Bureau, for instance, mandates that any analysis with a p-value higher than 0.10 be accompanied by a statement stating that the difference is not statistically significant from zero.
Here \(H_{0}\) - P =1/3=0.3333
Hi - P <0.3333
Given n =144
x = 63
P^=63/144=0.4375
Test Static = \(\frac{P^-P}{\sqrt{\frac{PQ}{n} } }\)
= \(\frac{0.4375^-0.3333}{\sqrt{\frac{0.3333-(1-0.3333)}{144} } }\)
=0.265
P-value =P(Z<2.65)=0.9960, Given \(\alpha\) =0.05
here P-Value >\(\alpha\)
So, don't reject \(H_{0}\)
There is no evidence to support the manager's Belief That less Than 1/3 of Applications are qualified
Learn more about P-value from the link below
https://brainly.com/question/14790912
#SPJ4
A washer and a dryer cost 1021 combined. The washer costs 71 more than the dryer. What is the cost of the dryer?
Answers
Answer:
475
Step-by-step explanation:
1021-71
950/2
Mr.Wells drew a plan for a rectangular dog run. The vertices are (2 1/3, 7 1/2), (12, 7 1/2),(12, 1) and (2 1/3, 1). What is the perimeter of the dog run?
Answers
Perimeter of rectangular dog run is 32.34 units.
Given,
Vertices of rectangular dog run are \((2\frac{1}{3},7\frac{1}{2} ), (12,7\frac{1}{2}), (12,1), (2\frac{1}{3},1 )\)
Let
\(A=(2\frac{1}{3},7\frac{1}{2} )=(\frac{7}{3} , \frac{15}{2} } )\\ \\B=(12,7\frac{1}{2})=(12,\frac{15}{2} )\\\\ C=(12,1)\\ \\D=(2\frac{1}{3},1 )=(\frac{7}{3},1)\)
A, B,C and D be the vertices of the rectangular dog run as shown in figure.
In rectangle opposite sides are equal. thus, AB=CD and BC=AD
In this rectangle, AB is length and BC is width.
To find distance of AB and BC use formula,
\(Distance=\sqrt{(x2-x1)^2+(y2-y1)^2}\)
\(AB=\sqrt{(12-\frac{7}{3} )^2+(\frac{15}{2}-\frac{15}{2} )^2} = \sqrt{(\frac{36-7}{3} )^2} =\frac{29}{3}= 9.67\)\(Bc=\sqrt{(12-12 )^2+(1-\frac{15}{2} )^2} = \sqrt{(\frac{2-15}{2} )^2} =\sqrt{(\frac{-13}{2})^2} = 6.5\)
To find perimeter of rectangular dog run use formula,
\(Perimeter =2(Length + Width)\\\\Perimeter =2(AB+BC)\\\\Perimeter =2(9.67+6.5)\\\\Perimeter=2(16.17)\\\\Perimeter=32.34\)
Hence, perimeter of rectangular dog run is 32.34 units.
To learn more about perimeter of rectangle refer here
brainly.com/question/14658657
#SPJ9
Factor completely 4x2 − 81. (4x − 9)(x 9) (2x 9)(2x 9) (2x 9)(2x − 9) (2x − 9)(2x − 9).
Answers
To factor completely the expression 4x^2 - 81, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).
Applying this formula, we have:
4x^2 - 81 = (2x)^2 - 9^2
Now we can see that we have a difference of squares with a = 2x and b = 9. Plugging these values into the formula, we get:
(2x + 9)(2x - 9)
Therefore, the expression 4x^2 - 81 factors completely as (2x + 9)(2x - 9).
Learn more about squares here
https://brainly.com/question/27307830
#SPJ11
3х + 8 + 10cjdidjdjdhdjdj
Answers
Answer:
3x+18
Step-by-step explanation:
Answer:
3 ( x + 6)
Step-by-step explanation:
3x + 8 + 10
add numbers together
3x + 18
factor out the 3 from the expression
3 (x + 6)
not sure about all the letters ? but hope this helps nn
a bag contains $10$ red marbles and $6$ blue marbles. three marbles are selected at random and without replacement. what is the probability that one marble is red and two are blue? express your answer as a common fraction.
Answers
15/56 is the probability that one marble is red and two are blue.
RBB, BRB, and BBR are the three possible ways to draw two blue marbles and one red marble. These are separate scenarios because there are no overlapping outcomes, and their sum is the overall likelihood that two of the three drawn cards will be blue. Therefore, the desired probability is
(10/16)(6/15)(5/14) + (6/16)(10/15)(5/14) + (6/16)(5/15)(10/14) = 15/56
What is probability?Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only forecast how likely an event is to occur using it, or how likely it is to occur. In the probability scale, 0 indicates an impossibility and 1 indicates a certainty. Probability is an important subject for Class 10 students because it teaches all of the subject's essential concepts. Every event's probability in a sample space is one.
For instance, when we flip a coin, there are just two possible results: Head OR Tail (H, T). But if we throw two coins into the air, there are three possible outcomes: either both show heads, either show tails, or one shows heads and one tails, i.e. (H, H), (H, T), or none of the three (T, T).
To learn more about the, probability visit:
https://brainly.com/question/12629667
#SPJ4
Find the measure of the missing angles.
Answers
Answer: x = 57 y = 33
Step-by-step explanation: the x and the 33 degrees form a complementary angle which means they add up to 90 degrees so you can subtract 90-33 to get that x =57. x and y are also complementary angles so now that you have that x is 57 you can do 90-57 to get 33
If you had this as your answer, would you add the terms, or keep them apart
15x + 5
HURRYYY
Answers
Answer:
5(3x+1)
Step-by-step explanation:
Graph for 15*x+5
More info
How to solve your question
Your question is
1
5
+
5
15x+5
15x+5
Grouping
1
Factor out common coefficient factor
1
5
+
5
{\color{#c92786}{15x+5}}
15x+5
5
(
3
+
1
)
{\color{#c92786}{5(3x+1)}}
5(3x+1)
Solution
5
(
3
+
1
)
Answer:
im almost positive that you can leave it just like that because they aren't like terms so there's nothing to simplify but I put it into Symbolab and told it to simplify 15x + 5 and it gave me \(5\left(3x+1\right)\) then put \(5\left(3x+1\right)\\\) back into the calculator and it gave me 15x + 5 so I think that it's perfect the way you had it :) hope this helps
The Law of Sines says that for a given triangle, _____.the sine values of all three internal angles will be the samethe sine values of all three internal angles will be proportional to each otherthe ratio between the sine of the angle and the opposite side will match for all three internal anglesthe sine values of all three angles will be different
Answers
The Law of Sines says that for a given triangle, the ratio between the sine of an angle and the length of the opposite side is the same for all three angles in a triangle. the sine values of all three internal angles will be the samethe sine values of all three internal angles will be proportional to each otherthe ratio between the sine of the angle and the opposite side will match for all three internal anglesthe sine values of all three angles will be different
In a triangle, we have three angles and three sides. The Law of Sines says that for any triangle, the ratio between the sine of an angle and the length of the opposite side will be the same for all three angles. In other words, the sine values of each angle are proportional to the length of the opposite side.
To put this in mathematical terms, let's consider a triangle with angles A, B, and C, and sides a, b, and c respectively. The Law of Sines can be written as:
sin(A)/a = sin(B)/b = sin(C)/c
This means that if we know the length of any two sides and the measure of the angle opposite one of those sides, we can use the Law of Sines to find the measure of the other angles and sides.
To know more about law of sine here
https://brainly.com/question/17289163
#SPJ4
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answers
Answer:
isosceles
Step-by-step explanation:
the two bottom angles are equivalent
the top angle is different
two sides are also of equal length
A list of 5 numbers is shown below.
0, 3, 7, -6, -12.3
Which set contains all the numbers in the list?
A integers
B whole numbers
C natural numbers
D rational number
Answers
Answer:
D. Rational Number
Step-by-step explanation:
Integers are defined as all whole numbers, positive and negative, including 0. Since in the list there is a number that is not whole, A is not the correct answer choice.Whole numbers are all positive numbers (including 0) without decimals or fractions. Since the list has a number that is not a whole number, along with two that are negative, B is also not correct.Natural numbers are all positive numbers (excluding 0) without decimals or fractions. Since there is a 0 in the list, C is not correct.Rational numbers are all numbers that can be simplified into a ratio with 2 integers (i.e. π and e are not rational). Since every number on the list can be put into this category, answer choice D is correct.Lines a and b are parallel. What is the measuee of angle S?
Answers
Answer:
The measure of angle s is 22°
Step-by-step explanation:
Given:
Horizontal lines A and B are parallel and are intersecting because a line is going through the both of them.Top right angle of line A is labeled to be 158°, while the top left angle in line B is labeled S° indicating this variable is the missing degrees.To find:
The angle of S, in degrees.∠1 and 158° are both on a straight line and supplementary.
(Supplementary angles are those angles that sum up to 180 degrees. )
So solving,
⇒ ∠1=180°-158°=22° ....> Angles ∠1 and S are interior angles
Due to lines A and B being parallel, all interior lines are equal.
As a result, the answer is therefore 22°.
which expressions can be used to find m∠abc? select two options.
Answers
The options that can be used to find m∠abc are:
m∠abc = 180° - m∠bca
m∠abc = m∠bac + m∠bca
To find m∠abc, the measure of angle ABC, you can use the following expressions:
m∠abc = 180° - m∠bca (Angle Sum Property of a Triangle): This expression states that the sum of the measures of the angles in a triangle is always 180 degrees. By subtracting the measures of the other two angles from 180 degrees, you can find the measure of angle ABC.
m∠abc = m∠bac + m∠bca (Angle Addition Property): This expression states that the measure of an angle formed by two intersecting lines is equal to the sum of the measures of the adjacent angles. By adding the measures of angles BAC and BCA, you can find the measure of angle ABC.
Know more about measure of angle here:
https://brainly.com/question/31186705
#SPJ11
which expressions can be used to find m∠abc? select two options.
a small bus can hold a maximum of 20 students. let y represent the number of the students
Answers
Answer: 40? 20? 60? 80? 100?
The equation y=9.50 +0.4 represents the line of best fit for the distance in feet) that Marcella traveled over time
(in seconds) based on several races she ran.
Based on this equation what is Marcella's average speed in feet per seconds?
Enter the answer as the correct value without units.
marking brainlist
Answers
Answer:
9.9 feet per second
Step-by-step explanation:
y=9.5+0.4
y=9.9
Marcella's average speed in feet per seconds is,
⇒ y = 9.54 feet
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The equation which represents the line of best fit for the distance in feet) that Marcella traveled over time (in seconds) based on several races she ran is,
⇒ y = 9.50x + 0.4
Hence, Marcella's average speed in feet per seconds is,
y = 9.50x + 0.4
Put x = 1;
y = 9.50 × 1 + 0.4
y = 9.50 + 0.4
y = 9.54 feet
Thus, Marcella's average speed in feet per seconds is,
⇒ y = 9.54 feet
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ5
Pls help thanks!!!!!!!
Answers
Answer:
30
Step-by-step explanation:
6 * 10 ÷ (6 - 4)
first solving for the bracket
=6 * 10 ÷ 2
for doing the division
=6 * 5
30
Answer:
30
Step-by-step explanation:
6x10 is 60 .... 6-4 = 2 .... 60÷2 is 30
3 % of Americans are vegans. If you ask a random person whether he or she is vegan, what is the probability that the person is NOT a vegan?
Answers
There is a 97% chance that they won’t be vegan.
Hope this helps :D
An ______ consists of two different rays with a common endpoint.
Answers
Answer:
angle
Step-by-step explanation:
An angle consists of two rays joined together. The rays are joined at the vertex.
Answer:
angle
Step-by-step explanation:
An angle consists of two different rays with a common endpoint.
An angle is formed by two rays that originate from the same point, called the vertex. The rays are referred to as the sides of the angle, and their measurement determines the size of the angle.I need help on that soooo
Answers
Answer:
3⅛ ÷ 1⅔ = 1.9083969465648855.
Step-by-step explanation:
To arrive at this answer, we can first convert 3⅛ and 1⅔ to fraction form.
3⅛ can be written as 3 + 1/8, which is equal to 3 + 1/8 = 25/8.
Similarly, 1⅔ can be written as 1 + 2/3, which is equal to 1 + 2/3 = 5/3.
Therefore, 3⅛ ÷ 1⅔ is equal to (25/8) ÷ (5/3) = (25/8) * (3/5) = (325)/(85) = 75/40 = 1 + 35/40 = 1 + 35/40 = 1.875.
This is the exact result, but if you want to round to the nearest hundredth, the result would be 1.91.