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The probability of getting exactly 7 tails is 1/32.

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

The number of times of toss of a fair coin is given as 8.

The probability of getting head is 1/2.

And, the probability of getting tail is 1/2.

The given problem can be solved using the expression of binomial distribution as ⁿCₓpˣqⁿ⁻ˣ, where p and q are the probability of success and failure respectively, n is the total number of trials and x is the favorable number of trials.

In order to find the probability of getting tail 7 times out of 8, the binomial distribution can be used as,

P(exact 7 tails) = ⁸C₇(1/2)⁷(1/2)¹

                        = 8 × 1/128 × 1/2

                        = 1/32

Hence, the probability of getting exactly 7 tails is 1/32.

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Answer:

2/15

Step-by-step explanation:

1/3 × 2/5 = 2/15

The line graph is bettee.

The better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given that, Mrs. Harless surveyed 18 students about the number of movies they watched this past summer, she used a circle graph and a line graph.

Since, a line graph used to track changes over short and long periods of time, It represents the change in a quantity with respect to another quantity. It shows how the value of something changes over time, or compare how several things change.

Whereas, a circle graph helps organize and show data as a percentage of a whole, it is divided into slices to illustrate numerical proportion.

Therefore, if Mrs Harless used a circle graph, it would be better to understand the data of the students.

Hence, the better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.

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Answer:

n=37

Step-by-step explanation:

45-8=37

Answer:

n=37 easy math :)

Answer:

3 and -3

Step-by-step explanation:

because both have the same which is equal to 9 so it not above 25 or equal to 25

Answer:

c & F

Step-by-step explanation:

A. 25>25 true

B.144>25,true

C.9>25false

D.25>25 true

E.144>25 true

F.9>25 false

Answer:

1176 cm3

Step-by-step explanation:

Answer:

x = 17°, m∠ A = 114°

Step-by-step explanation:

We can tell that these pair of angles are corresponding, provided;

Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,

m∠ A = m∠ B ⇒ Substitute values of A and B,

6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,

3x + 12 = 63 ⇒ Subtract 12 on either side of equation,

3x = 51 ⇒ Divide either side by 3,

x = 17 ⇒ Substitute value of x to solve for m∠ A,

m∠ A = 6 * ( 17 ) + 12,

m∠ A = 102 + 12,

m∠ A = 114

Solution; x = 17°, m∠ A = 114°

Answer:

x = 17, ∠A = 114°

Step-by-step explanation:

I'm 8 years old and I know how to do this.

6x + 12 = 3x + 63

3x + 12 = 63

3x = 51

x = 17

6(17) + 12

102 + 12 = 114

Answer:6.71

Step-by-step explanation:

Answer:

the ancer is 1

Step-by-step explanation:

Answer:

a)400V2 plus 3,600 m2

Step-by-step explanation:

Answer:

400V2 + 3,600 m2

Step-by-step explanation:

Got it right on edge

Answer:

8 ft per minute

Step-by-step explanation:

Take the number of feet and divide by the number of minutes

48 ft / 6 minutes

8 ft per minute

Answer:

x= -4, x = 4

Step-by-step explanation:

Answer:

n=11

Step-by-step explanation:

n+1=4(n-8)

11+1=4(11-8)

12=4(3)

12=12

Answer:

Step-by-step explanation:

[tex]3d^{-4}*4d^{4}=3*4*d^{-4+4}\\\\ =12d^{0}\\\\=12*1\\\\=12[/tex]

Answer:

12

Step-by-step explanation:

[tex]3 {d}^{ - 4} .4{d}^{ 4} \\ \\ = 3.4 \frac{{d}^{ 4}}{{d}^{ 4}} \\ \\ = 12[/tex]

Answer:

C

Step-by-step explanation:

-35/3*(-21/5)=35/3*21/5=49

Answer:

B

Step-by-step explanation:

I converted both to decimals and I got -49.

Answer:

y= 200/6x + 100

Step-by-step explanation:

Process of elimination it can't be y= 2/3x + 100 or y = 2/3x because then for x = 12 y would equal 108, but it was closer to 200. That means it had to be one of the other two, the one without the +100 would also end up being too little.

Answer:

Let x be the number of tickets sold to adults and y the number sold to students:

x + y = 315. But we know that y was double x, then :

y = 2x

Plug the value of y (in the 1st equation) by 2x:

 x+ 2x = 315

3x = 315

and x = 105 (which is the number of tickets sold to adults

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Step-by-step explanation:

Answer:

A mirror

Step-by-step explanation:

thats all

Answer:

Step-by-step explanation:let x be the number of bicycles,

let y be the number of tricycles

given x+y=20→equation 1

also given 2x+3y=44→equation 2

from eq 1, y=20-x

substitudin ineq 2

2x+3(20-x)=44

2x+60-3x=44

60-x=44

-x=44-60

=-16

x=+16

then y=20-16=4

no of bicycles=16

no of tricycles=4

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Answer:

2 2/4 or 2 1/2

Step-by-step explanation:

since its like denominators,

3 minus 1= 2

then you move onto fractions

3/4 minus 1/4= 2/4

and if you wanted to simplify 2/4= 1/2

Answer:

The stem and leaf plot is not shown, so I will answer the question in a general way.

Suppose you have the following stem and leaf plot

I 2 I 0 5 8

I 3 I 4 4 7 8

I 4 I 0

Then, the data is: 20, 25, 28, 34, 34, 37, 38, 40. In consequence, one department stores has exactly 37 pairs of glasses. But if your stem and leaf plot is:

I 2 I 0 5 8

I 3 I 7 7 7 8

I 4 I 0

then, three department stores have 37 pairs of glasses, and none of them have 34 pairs of glasses.

Step-by-step explanation:

b) [tex] I= prt\implies r = \frac{I}{pt} \\[/tex]

c) [tex] I= prt\implies t = \frac{I}{pr} \\[/tex]

Answer:

1.

B. i/Pt = Prt/Pt

i/Pt = r

C. prt/pr = i/pr

t=i/pr

Step-by-step explanation:

Pretty Easy with Algebra and Geometry.

Answer:

30 mm 2

Step-by-step explanation:

Answer:

51.25

Step-by-step explanation:

Do you mean the surface area of the pyramid?

Base = [tex]2.5^2[/tex] = 6.25

Triangles = [tex]\frac{9 * 2.5 * 4}{2}[/tex]

9 * 2.5 * 2 = 45

45 + 6.25 = 51.25

Answer:

HOK =167

Step-by-step explanation:

HOK = HOI +IOJ + JOK

         = 44+46+ 77

          =167

Answer:

This is an example of independent probability.

Step-by-step explanation:

Independent events are not affected by previous events, just like the outcome of rolling a dice is not effected by the previous outcome. (The dice has no memory of any kind, what so ever!).

When two events are said to be independent of each other, meaning the probability that one event occurs in no way affects the probability of the other event occurring. Another example of an independent event is when you flip a coin. (The coin has no memory of any kind, what so ever!).

Multiplication Rule: When two events, A and B, are independent, the probability of both occurring is:

P(A and B) = P(A) · P(B)

The dice was cast 10 times. In three occasions a 5 came out, and in 7 occasions another outcome occurred. The probability of the outcome of exactly 3 times a 5 in 10 casts, can be calculated as:

P(5) =(1 / 6)^3 + (5 / 6)^7

P(5) = 0.28

P(5) = .3