To choose the 8 songs, the director writes the name of each of the 12 songs on a slip of paper, puts them in a hat, and draws 8 slips. What is the probability that the set s/he chooses contains two of the four songs that have soprano solos?

Answers

Answer 1

Answer:

0.339

Step-by-step explanation:

Given that :

Total number of songs = 12

Number of songs to choose = 8

Total number of draws = 8

Selecting 2 of the 4 songs with syprano solos : 4C2

The 6 remaining songs from. The rest:

12-4C8-2 = 8C6

Total possible selections = 12C8

Hence,

probability that the set s/he chooses contains two of the four songs that have soprano solos will be :

(4C2 * 8C6) / 12C8

(6 * 28) / 495

168 / 495

= 0.339


Related Questions

survey of a company's employees explored the relationship between employee status and support of a new workplace safety policy The results are displayed in the following two-way frequency table. Workplace Safety Policy For Against Total Part-Time
Employee 20 60 80 Full-Time Employee 100 20 120 Total 120 BO 200 used on the table above, which of the following statements are true? There are twice as many part-time employees against the workplace safety policy than full-time employees against the workplace safety policy IL There are more employees for the workplace safety policy than against the workplace safety policy There is an equal number of part-time employees and full-time employees.​

Answers

Answer:

ll and lll

Step-by-step explanation:

The speed limit on a road is 45 mph what is the rate in miles per minute

Answers

The answer is 320 minutes

The rate in miles per minute is 320

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DIVIDING EXPONETS

Answers

Here is the answer
I can’t seem to do the symbols here so the answer is in the picture.

Answer:

[tex]-0.5n^{4}[/tex] or [tex]-\frac{1}{2} n^{4}[/tex]

Step-by-step explanation:

To simplify a dividing exponent, use the "Quotient of Powers" law: [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]. In this situation, the equation would be: [tex]\frac{-9}{18} n^{6} -n^{2}[/tex] or [tex]-0.5n^{4}[/tex] (-0.5 is also [tex]-\frac{1}{2}[/tex]).

Hope it helps and is correct!

Proving trapezoid theorems Geometry

Answers

Answer:

ΔABD ≅ ΔACD by SAS, therefore;

[tex]\overline {BD} \cong \overline {CA}[/tex] by CPCTC

Step-by-step explanation:

The two column proof is presented as follows;

Statement [tex]{}[/tex]                   Reason

ABCD is a trapezoid [tex]{}[/tex]  Given

[tex]\overline {BA} \cong \overline {CD}[/tex]  [tex]{}[/tex]                   Given

[tex]\overline {BC} \parallel \overline {AD}[/tex]   [tex]{}[/tex]                   Definition of a trapezoid

ABCD is an isosceles trapezoid  [tex]{}[/tex]    Left and right leg are equal

∠BAD ≅ ∠CDA  [tex]{}[/tex]          Base angle of an isosceles trapezoid are congruent

[tex]\overline {AD} \cong \overline {AD}[/tex]   [tex]{}[/tex]                  Reflexive property

ΔABD ≅ ΔACD   [tex]{}[/tex]         By SAS rule of congruency

[tex]\overline {BD} \cong \overline {CA}[/tex]   [tex]{}[/tex]                  CPCTC

CPCTC; Congruent Parts of Congruent Triangles are Congruent

SAS; Side Angle Side rule of congruency

Answer:

Step-by-step explanation:

just did it

Find the measure of each angle in the angle pair described.
The measure of one angle is twice the measure of its supplement. What are the measures of the two angles?

Answers

Answer:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree

You did not attach a photo of the angles!

Julie has $80,000 to invest. She invests part at 5%, one fourth this amount at 6%, and the balance 7%. Her total annual income from interest is $4,700. Find the amount invested at each rate.

Answers

Answer:

Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.

Step-by-step explanation:

Given that Julie has $ 80,000 to invest, and she invests part at 5%, one fourth this amount at 6%, and the balance 7%, knowing that her total annual income from interest is $ 4,700, to find the amount invested at each rate se you must perform the following calculation:

80,000 / 4 = 20,000

20,000 x 0.06 = 1,200

4,700 - 1,200 = 3,500

60,000 x 0.07 + 0 x 0.05 = 4,200

50,000 x 0.07 + 10,000 x 0.05 = 4,000

40,000 x 0.07 + 20,000 x 0.05 = 3,800

30,000 x 0.07 + 20,000 x 0.05 = 3,600

25,000 x 0.07 + 35,000 x 0.05 = 3,500

Thus, Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.

Combine the like terms to create an equivalent expression:2r+1+(−4r)+7

Answers

Answer:

2r+1+(-4r)+7

= -2r+8

= -2(r+4)

Step-by-step explanation:

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket

Answers

Answer:

senior citizen tickets are $10 and child tickets are $8

Answer:

senior is 10 and child is 8

Step-by-step explanation:

help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

did the math for it!!

B, jake.

loooooooooooooooooll

You can upgrade lighting at your factory to LED bulbs that coast 6.95 each and last an average of 5 years.

Answers

Answer:

$200

Step-by-step explanation:

Here is the full question

You can upgrade lighting at your factory to LED bulbs that cost $6.95 each and last an average of 5 years. It costs $3 in labor to change a bulb. Over a 10-year period, about how much will it cost per year to install LED bulbs in 100 lamps and change the bulbs when they burn out?

in 10 years, the bulbs would be changed twice

Total cost incurred per bulb in 10 years = (6.95 +  $3) x 2 = $19.90

Since there are 100 bulbs, total cost incurred would be - $19.90 x 100 = $1990

Cost per year = $1990 /  (6.95 +  $3) = $200

3.5 m = ______cm

PLEASE HELP ME!!!!!!!

Answers

Answer:

Formula *10

Step-by-step explanation:

35

Jane made a poster that had a length of 1 2/3 feet and a width of 5/6 feet. What is the perimeter of her poster?
answers; 1 7/18, 2 1/2, 3 feet, and 5 feet.

Answers

Answer:

5 feet

Step-by-step explanation:

Let
cos
(
2

)

0.9994
What is the the value of
x
, in degrees, for
sin
(
x
)

0.9994
?

Answers

Answer:

can write it again soon as you can do it again

5+5-66564+6367347646-4848

Answers

Answer:

6367276244 6367276244

6367276244 6367276244

Answer:

6367276244

Step-by-step explanation:

Please I need this now
Whoever can answer this I will make a brainliest​

Answers

Answer:

djchdjcycuchrivivurtiytvivytivi8fr cgdyhcd8w

C, B, D, D, A, C, B, D, C, B

The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM:MN:NOLM:MN:NO is equal to 3:1:2.3:1:2. If LO=30,LO=30, find LN.LN.

Answers

Answer:

[tex]|LN| = 24[/tex]

Step-by-step explanation:

Given

[tex]LM:MN:NO = 3:1:2[/tex]

[tex]LO = 30[/tex]

Required

Find LN

[tex]LN = LM + MN[/tex]

From the ratio, LM = 3 and MN = 1

So:

[tex]LN = 3 + 1[/tex]

[tex]LN = 4[/tex]

LN and NO can be represented as:

[tex]LN : NO = 4 : 1[/tex]

The length of LN is then calculated as:

[tex]|LN| = \frac{LN}{LN+NO}*|LO|[/tex]

[tex]|LN| = \frac{4}{4+1}*30[/tex]

[tex]|LN| = \frac{4}{5}*30[/tex]

[tex]|LN| = \frac{4*30}{5}[/tex]

[tex]|LN| = \frac{120}{5}[/tex]

[tex]|LN| = 24[/tex]

What’s 12 times 12divided by 58 ?

Answers

12 x 12 = 144
144 / 58 = 2.66

Answer:

2.48........is your answer

Step-by-step explanation:

12×12 =144

144÷58

Do you know anything about y=mx+b​

Answers

Answer:

yes

Step-by-step explanation:

your m is your slope,your b is the y-intercept, and your y is what you are solving for.

Answer:

Y=mx+b is an equation for a linear equation

M is the slope of the line and B is the y-intercept

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Every straight line can be represented by an equation: y = mx + b.

Hope this helps :))

Determine which fraction is smallest given 21/64, 5/16, 11/32, 1,2

Answers

Answer :

5/16

Explanation :

5 divided by 16 is less than the other one equations

Gambarlah sebuah lingkaran dengan jari jari 2,5 cm. Lalu gambarlah 3 buah sudut keliling yg menghadap busur yang sama

Answers

Step-by-step explanation:

isidhxibdofeixeosgzifisvsoshzibdihddgd

Martha spent $12.35 at the local farmer's market. She bought 3 bundles of collards and paid $4.30 for some fruit. How much did each bundle of collards cost?

Answers

Answer:

12.35-4.30=8.05

8.05÷3= 2.68333333333333....

            ≈2.68

I don’t know if this is correct !!!!! Please help answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!

Answers

Answer:

change up to down the rest is right

Step-by-step explanation:

hope I helped!!

Two siblings' ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.

Write a system of 2 equations. Solve the system using substitution. Report your answer in the form of (older, younger).

Answers

Hi!

So we have to make a system of equations here.

Let sibling 1 be O and sibling 2 be Y (for older and younger)

So:

O + Y = 64

O = 64 - Y

(Either one works)

The older sibling is 6 years older.

O = Y + 6

Make everything in terms of Y.

64 - Y = Y + 6

Same to both:

58 = 2y

2y = 58

Divide by 2 on both sides:

y = 29

Since the older sibling is 6 years older:

29 + 6 = 35

Y = 29

O = 35

Let me know if you have any questions.

PLEASE HELP! WILL MARK BRAINLIEST IF U ANSWER CORRECTLY! IF WRONG U WONT GET IT

Answers

Answer:

1120 super easy

Step-by-step explanation:

8x10=80

80x14=1120

what is the HCF prime factorization of 30 and 36​

Answers

Answer:

We found the factors and prime factorization of 30 and 36. The biggest common factor number is the GCF number. So the greatest common factor 30 and 36 is 6.

Step-by-step explanation:

Is this a, b, c, or d?

Answers

Answer:

Alright so let's start by elimination.

Step-by-step explanation:

It cannot be 1/4 (unless it's y or x)

Cannot be 1/2 unless it's the bottom part.

So that leaves you with 1/3 and 1/6, 1/6 is to small so it has to be 1/3.

Hope this helps!

PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS CORRECT!!!

Answers

Answer: -5 Hope this helps :)

Step-by-step explanation:

Brainlist Plz?

The answer is -5. Give me points if I am correct please.

A rental car company offers a rental package for a mid-size car. ​The cost is comprised of a fixed \$ 40$40 administrative fee for the cleaning and maintenance of the car plus a rental cost of \$ 45$45 per day. ​ ​Using xx for the number of days and yy for the total cost in dollars, construct a linear function to model the relationship between the number of days and the total cost of renting a mid-size car. ​

Answers

Answer:

y = 40 + 45x

Step-by-step explanation:

Fixed administrative fee for the cleaning and maintenance of the car = $40

rental cost = $45 per day

x = number of days

y = total cost in dollars

y = 40 + 45x

This shows the relationship between the number of days and the total cost of renting a mid-size car.

Work out
51.43% of 377.59cm
Give your answer founded to 2 DP

Answers

Answer:

194.194537 centimeters

Step-by-step explanation:

Answer:

194.19cm

Step-by-step explanation:

yeah yeah yeah yeah

In circle O, AC and BE are diameters. The measure of arc DC is 50°. What is the measure of EBC? ​

Answers

Answer:

The angle measure would be 40°

Step-by-step explanation:

Right angles have a measure of 90. Since DC is 50, 90-50 is 40.

The angle measure of  ∠EBC would be 40°.

What is arc?

The arc is a portion of the circumference of a circle

Right angles have a measure of 90°.

∵∠BOD=90°

Since ∠DC is 50°,

∠EBC = ∠BOD-∠DC

∠EBC = 90°-50° is 40°.

The angle measure of  ∠EBC would be 40°.

learn more about arc of circle

https://brainly.com/question/1577784

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