Please help someone help me! Correct answer only! This assignment is due today.

A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.

If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer 1

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]


Related Questions

What is the area, in yards, of
a box thats 38 feet wide by
15 feet
long?​

Answers

Answer:

570

step-by-step explanation:

assuming you're talking about a 2-dimensional rectangle,

Area = base x height

base = 38

width = 15

Area = 38 * 15

Area = 570 ft

570ft * (1 yard/3ft) = 190 yards

Answer:

190 yards

Step-by-step explanation:

area= length*width

area= 15*38

area= 570 feet

feet/3= yards

570/3= 190 yards

hope this helps!

The following are the ages (years) of 5 people in a room: 23, 15, 17,23, 23 A person enters the room. The mean age of the 6 people is now 19. What is the age of the person who entered the room?

Answers

13 years

Step-by-step explanation:

17 + 15 + 23 + 23 + 23 =101 / 5 = 20.2

Mean before was 20.2

In order for the mean to be 19, all those numbers would have to add up 114 to be divided by 6 and have a mean of 19

114 / 6 = 19

114-101 = 13 is that number

17 + 15 + 23 + 23 + 23 + 13 = 114 / 6 = 19

Which expression is equivalent to

Answers

Answer: 4 and 10/12

Step-by-step explanation:

2 x 2= 4

[tex]1/2 X 3/4=2/2+ 3/4= {5/6} x 2= 10/12[/tex]

Cuál es el menor número entero que, disminuido en 8, resulta menor que su triple

Answers

Answer:

-3

Step-by-step explanation:

     Let x = the number

Then 3x = its triple, and the condition is:

x - 8 < 3x

Subtract x from each side

-8 < 2x

Divide each side by 2

-4 < x

Reverse the inequality

x > -4

The smallest integer greater than -4 is -3.

Check:

-3 - 8 < 3(-3)

-11 < -9

It checks.

 

R (x) = 3x + 17/ -6x^2 + 39x

Answers

Answer:

[tex]\frac{3x+17}{-3x(2x-13)}[/tex]

unless there is more to the question

Step-by-step explanation:

You can't do anything to the top so work with the bottom.

since both terms have an x and are divisible by 3 take out a GCF of -3x

The bottom should be: -3x(2x-13)

You can't simplify any further.

Can anyone help me with this problem?

Answers

Answer:

Step-by-step explanation:

What you are looking for is the simplification of f(x) divided by g(x). This can be easily accomplished with synthetic division. If we are dividig the quadratic by x - 1, we will use the fact that if x - 1 = 0, then x = 1. We will put that 1 outside the "box" and put the coefficients from the quadratic inside the "box" and do the division synthetically. The coefficients on the quadratic terms are 2, 1, and -3:

1 | 2     1     -3

___________

We begin by bringing down the first number, a 2, and multiplying it by the 1 in the box and putting the product up under the 1:

1 |  2     1     -3

           2        

    2

Now we add down the column:

1 |  2     1     -3

          2        

    2     3

Now multiply the 3 by the 1 outside the box and put that product up under the -3 and then add down that column:

1 |  2     1     -3

          2     3

   2      3     0

Because we have a 0 remainder, that means that the quadratic was evenly divisible by x - 1.  What we have left is called a depressed polynomial. It takes on the x values at one degree lesser than what we started with. Namely, it will be 2x + 3.

2x + 3 is what we get when we divide the quadratic by x - 1. BUT because we started off with x - 1 in the denominator, even though we divided it away to simplify, we still have to take into account that the value of 1 makes the denomiator go to 0, which is never allowed in math.

So the answer you want is the first one!

 

What is the probability of getting an odd number 1-10?

Answers

Answer:

1/2 - Half of the numbers are odd

The congruency theorem Side-Angle-Side (SAS) proves two triangles are congruent because both triangles have an included angle in between two congruent sides.

True

False

Answers

The answer for this question is True

Does anyone know how to find angle measures from trig values?

Answers

Answer:

Trig is SOHCAHTOA i think

Step-by-step explanation:

SOH is sin which is opposite/hypotenuse

CAH is cos which is adjacent/hypotenuse

TOA is tan which is opposite/adjacent

Hope this helps please leave a comment :)

What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11,16,22,28,29,30,31,34,37,38,43,49,56,78,99

Answers

Answer:

67 to be at work by the end if your here and we can go to the group and we will be in the office Andy I have to go to work and come back to you and get to you by the end of siliconeyiq and the next day or spiral ham and cheese for the day but will be in a

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

1 A

2 A

Step-by-step explanation:

1. steps can be positive whole numbers only

2. there is 15 steps

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?


Answers

Answer: 5x + 2y = -2

Step-by-step explanation:

Change 5x+2y=12 to slope intercept: 2y = 12 - 5x, y = -5x/2 + 6

A parallel line has the same slope, so the line we try to find is y = -5x/2 + b.

Substitute (-2, 4) in and get 4=5+b, so b = -1.

Therefore the answer is y = -5x/2 - 1, or if you want it in the original form it would be 2y = -5x - 2 ---> 5x+2y = -2.

Hope that helped,

-sirswagger21

Which are linear pairs? Check all that apply.
A. ∠DAE and ∠EAD
B. ∠BAC and ∠CAD
C. ∠BAE and ∠EAD
D. ∠EAD and ∠DAC
E. ∠CAE and ∠BAD

Answers

Answer:

Options B, C and D

Step-by-step explanation:

Linear pair of angles means sum of the angles of the pair is 180° which are formed at a point of a line.

In other words, pair of supplementary angles is the linear pair.

From the figure attached,

Pair of the linear angles are,

1). ∠BAC and ∠CAD

2). ∠BAE and ∠EAD

3). ∠EAD and ∠DAC

Therefore, Options B, C and D are correct.

Answer:

B, C, and D

Step-by-step explanation:

The total points scored in a basketball game can be calculated using the expression 3c + 3.

If c = 41, how many points total were scored?

Answers

Answer:

126 points :D

Step-by-step explanation:

Quick answer 126

You already have what "c" is so all you have to do it plug it in. If something says 3c or any number and any letter all you have to do is times the number by whatever that letter is so if c is 41 then 3c+3 would be 3 x 41 + 3.

how do you multiply decimals like whats 6.8 times 1.6.

Answers

Answer:

10.88

Step-by-step explanation:

u do it like long multiplication just with decimals

6.8 times 1.6 = 10.88

Answer: 10.88

Step-by-step explanation:

6.8 x 1.6 = 10.88

you can multiply them without the decimals first then when you got the answer, you can count how many decimal places are there and place a decimal place where shoud be

Is -415 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

Can convert it to a ratio (-415/1)

Answer:

Rational

Step-by-step explanation:

-415 is an integer. All integers are rational. It can be written as a fraction p/q, where p and q are integers and q is not equal to zero.

-415 can be written as [tex]-\frac{415}{1}[/tex].

A linear sequence starts a+3b a+7b a+11b the 2nd term has value 19 the 5th term has value 67 work out the values of a and b

Answers

Answer:

[tex]a = -9[/tex]

[tex]b = 4[/tex]

Step-by-step explanation:

Given

Sequence: a+3b, a+7b, a+11b

2nd term = 19

5th term = 67

Required

Find a and b

First, the 5th term needs to be calculated;

Using formula for Arithmetic Progression (AP), the formula goes thus

[tex]T_n = T_1 + (n - 1)d[/tex]

Where n = 5

T_1 = a + 3b ------------ FIrst term

[tex]d = T_2 - T_1 or T_3 - T_2[/tex] --- Difference between two successive terms

[tex]d = a + 7b - (a + 3b)[/tex]

[tex]d = a + 7b -a - 3b[/tex]

[tex]d = a - a + 7b - 3b[/tex]

[tex]d = 4b[/tex]

So, [tex]T_n = T_1 + (n - 1)d[/tex] becomes

[tex]T_5 = a + 3b + (5 - 1)4b[/tex]

[tex]T_5 = a + 3b + (4)4b[/tex]

[tex]T_5 = a + 3b + 16b[/tex]

[tex]T_5 = a + 19b[/tex]

Now that we have values for 2nd and 5th term;

From the second, T2 = 19 and T5 = 67

This gives

[tex]a + 7b = 19[/tex] --- Equation 1

[tex]a + 19b = 67[/tex] ---- Equation 2

Make a the subject of formula in (1)

[tex]a = 19 - 7b[/tex]

Substitute these values in equation 1

[tex]a + 19b = 67[/tex] becomes

[tex]19 - 7b + 19b = 67[/tex]

[tex]19 + 12b = 67[/tex]

Collect like terms

[tex]12b= 67 - 19[/tex]

[tex]12b = 48[/tex]

Divide both sides by 12

[tex]\frac{12b}{12} = \frac{48}{12}[/tex]

[tex]b = 4[/tex]

Recall that b = 4

Substitute a = 19 - 7b and nothing will hire

[tex]a = 19 - 7(4)[/tex]

[tex]a = 19 - 28[/tex]

[tex]a = -9[/tex]

Hence, the values of a and b are -9 and 4 respectively.

Answer:
a= - 9
b= 4
Step-by-step explanation:

From +3b to 7b it's add 4 (so I used this rule to find the next 2 terms.)

4rd term is a + 15b
5 term is a + 19b = 67

create a simultaneous equation between the 2nd & 5th term - since, we know what it's equal to.
a + 19b = 67
a +7b = 19
(same signs/operation of + so subtract to cancel a)

a-a =0
19b - 7b = 12b
67 - 19 =48


0 + 12b = 48
÷12 both sides
b = 4

Substitute, b= 4 into one equation(either from the 2nd or 5th term equation):

a+ 7b=19
a + 7 x 4 = 19
a + 28 = 19
- 28
a= - 9

Hope this helps!

The probability of an event is 1. What do you know about the event?
The probability of another event is 0.
What do you know about this event?

Answers

Answer:  A probability of 1 means the event is certain to happen.  A probably of zero means the event is certain not to happen.

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sorry needed points

-Common Core Math I A: P CR 46.27
Using Function Noiation
Try it
The mapping diagram shows a functional relationship.
Domain
Range
Complete the statement.
f(3) is
0
0
3
3
-1
9
→ 9
What is f

Answers

Answer:

The answer to f is 9 hope this helps can you make me answer brianlest

Find the slope of this graph.

Answers

Answer:

WERE THE GRAPH

Step-by-step explanation:

Where is the graph we’re supposed to look at?

plz answer as fast as possible

What is the value of 3/7 * 0.1 / 5/21?

Answers

Answer:

B

Step-by-step explanation:

3/7 * 1/10 * 21/5

=63/350

=9/50

A=-2[[-6,4],[3,7],[12,10]] B=3[[-2,2,8],[8,5,6]]and D=-1[[-12,8],[6,14],[24,20]] are equal matrices ANSWERS a nd b are equal b and c are equal c and d are equal d and a are equal

Answers

Answer:

D and A are equal

Step-by-step explanation:

Two matrices A and B are said to be equal if both matrices have the same number of rows and columns. Given the following matrices

[tex]A = -2\left[\begin{array}{ccc}-6&4\\3&7\\12&10\end{array}\right] \\multiplying\ the \ matrix\ through\ by\ -2\ will\ give\\A = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right] \\\\\\B =3 \left[\begin{array}{ccc}-2&2&8\\8&5&6\end{array}\right] \\B = \left[\begin{array}{ccc}-6&6&24\\24&15&18\end{array}\right] \\\\\\D = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right][/tex]

From the above matrices, it can be seen that matrix A and C both has 3 rows and 2 columns each which matrix b has 2 rows and 3 columns.

Based on the conclusion, it can be seen that matrices A and D are equal since they have the same number of rows and columns

How many angles does a nonagon have?

Answers

Answer:

9

Step-by-step explanation:

There are nine angles in a nonagon.

Geckos are lizards with specialized toe pads that enable them to easily climb all sorts of surfaces. a research team examined the adhesive properties of 7 tokay geckos. below are their toe-pad areas (in square centimeters, cm2). 5.6 4.9 6.0 5.1 5.5 5.1 7.5 what is the value of the sample variance? _____ cm2 answer

Answers

Answer: 0.6763 cm∧2

Step-by-step explanation: Variance is one of the measures of dispersion which is the the second central moment in probability. It is defined as a measure of by how much the values in a data set differs from the mean of the values. Thus it is the average of the squares of the deviations from the mean as this ensures that both the negative and positive deviations do not cancel each other out.

The sample variance would be calculated as follows:

Population size is 7 (5.6 4.9 6.0 5.1 5.5 5.1 7.5)

Mean: Sum of samples / population size ;

(5.6 4.9 6.0 5.1 5.5 5.1 7.5) / 7 = 5.67

Applying the formula for variance: [ Summation (x - mean) ] / population size =( |5.6 - 5.67| + |4.9 - 5.67| + |6.0 - 5.67| + (|5.1 - 5.67|) * 2 + | 5.5 - 5.67| + |7.5 - 5.67|) / 7 = 0.6763 cm^2

Use factoring to solve. *

x^2-4x-12=0

please only give me the right answer I really need it

Answers

Answer:
x = 6, -2

Explanation:
x^2 - 4x - 12 = 0
(x - 6)(x + 2) = 0

Answer:

(6, -2)

Step-by-step explanation:

x^2-4x-12=0. 1 from 1x. -4 from -4x

(x - 6)(x + 2) = 0 1 * -12 = -12. -4

x - 6 = 0 -6 * 2 = -12. -6 + 2 = -4

+ 6 +6

x = 6

x + 2 = 0

-2. -2

x = -2

Will anyone be kind enough to answer this

Answers

Answer:

Step-by-step explanation: it should be on quizlet here the points go out fast

Answer:

137

Step-by-step explanation:

for the two triangles

formula=1/2×b×h

=1/2×6×4=12

since there are 2 triangles=12×2=24

for the side rectangles

area=l×b

=7×5=35

since there are 2 rectangles=35×2=70

the rectangle in the middle=7×6=42

now add all of them = 25+70+42=137

What is the theoretical probability of a bulb to be switched on?

Answers

Answer:

1/2

Step-by-step explanation:

Sample space, S =  ON, OFF

⇒n(S) = 2

n(E) = ON = 1

P(E)  = 1/2

Answer:

b

Step-by-step explanation:

bc

I will give you brainliest!!!!! Which equation models the total profit y, based on the number of T-shirts sold x?

Answers

Answer:

B. y-25=5(x-20)

please see the attached image and help me complete this question , please , its an emergency

Answers

Answer:

46

Step-by-step explanation:

32+14 = 46

46 ppl study spanish

Answer:

A = the Venn diagram and the middle section is 41 because :

14 + 25 = 39

80 - 39 = 41

B = 25 ( because of diagram )

C = the number of kids who studied both and only studied it which is:

41 + 14 = 55 (so C = 55).

George gets a pay rise from £632 per week to £711 per week. What percentage pay rise was he given?

Answers

Answer:

12.5%

Step-by-step explanation:

£632 - 100%

£711 - ?%

?%= (711*100)/632 = 112.5%

112.5-100=12.5%

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