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Answer:

A)

1) 0.03072 = 3.072% probability you get the third head on the 5th toss.

2) The expected number of heads you will get when you toss the coin six times is 1.2.

B)

1) 0.2304 = 23.04% probability that you will get 2 heads and 3 tails.

2) The expected number of heads you will get when you toss the coin six times is 3.6.

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it is tails, or it is heads. The probability of a toss being heads or tails is independent of any other toss. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is E(X) = np.

Item A:

1) you get the third head on the 5th toss?

1/5 probability of heads, so [tex]p = \frac{1}{5} = 0.2[/tex]

This is two heads on 4 tosses(P(X = 2) when n = 4) and then head on the 5th toss, with 0.2 probability. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.2)^{2}.(0.8)^{2} = 0.1536[/tex]

0.1536*0.2 = 0.03072

0.03072 = 3.072% probability you get the third head on the 5th toss.

2) that you get the expected number of heads you will get when you toss the coin six times?

Six tosses means that [tex]n = 6[/tex]. So

[tex]E(X) = np = 6*0.2 = 1.2[/tex]

The expected number of heads you will get when you toss the coin six times is 1.2.

Question B:

3/5 probability of heads, which means that [tex]p = \frac{3}{5} = 0.6[/tex]

1) If you toss the coin 5 times, what is the probability that you will get 2heads and 3 tails?

This is P(X = 2) when n = 5. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.6)^{2}.(0.4)^{3} = 0.2304[/tex]

0.2304 = 23.04% probability that you will get 2 heads and 3 tails.

2) What is the expected number of heads you will get when you toss the coin six times?

Six times means that [tex]n = 6[/tex]. So

[tex]E(X) = np = 6(0.6) = 3.6[/tex]

The expected number of heads you will get when you toss the coin six times is 3.6.

5.3×10^5=53×10^4

53×10^4+3.8×10^4

=56.8×10^4

=5.68×10^5. Hope it help!

Answer:

5.68 x 10^5

Step-by-step explanation:

5.3 x 10^5 + 3.8 x 10^4 = 5.68 x 10^5

Answer:

8

Step-by-step explanation:

12/1.5 is 8

you divide the total amount (12) by how much you're giving out (1.5 or 1 1/2) to find how many even groups can get a share

Answer:

15.19 cm

Step-by-step explanation:

Answer:

108.75km

Step-by-step explanation:

please find attached the diagram

total displacement can be determined by using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

length of x =

20² + 40²

= 400 + 1600

2000

square root of 2000

= 44.72km

length of y

40² + 50²

1600 + 2500 = 4100

square root of 4100

64.03km

total displacement = 44.72 + 64.03 = 108.75

Step-by-step explanation:

c

if you divide the answer althrough by 2 you should get the above equation

9514 1404 393

Answer:

  C:  2x+2y=-2

Step-by-step explanation:

The equation that makes the system have infinitely many solutions is one that is dependent on the given equation. The easiest way to make a dependent equation is to multiply the given equation by some constant.

Here, choice C has the original equation multiplied by 2, so it is dependent on the given equation.

  x + y = -1   ⇒   2(x + y) = 2(-1)   ⇒   2x + 2y = -2 . . . . matches choice C

Answer:

36

Step-by-step explanation:

The numbers given represent an arithmetic series with a common difference of -5. The formula to find the nth term of an arithmetic sequence is:

a + (n - 1)d

where a is the first term and d is the common difference. We can substitute our values in:

261 + (46 - 1)(-5)

261 + (45)(-5)

261 + (-225)

36

Answer:

36

Step-by-step explanation:

Have a good day :)

Answer:

B

Step-by-step explanation:

-x - 1 = x^2 + x

x^2 + 2x + 1 = 0

(x+1)(x+1) = 0

x = -1 (double soution)

y = 1-1 =

y =0

(-1,0) = double solution

Answer:

4

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

24/6 = 4

Check by taking the third term and dividing by the second term

96/24 = 4

The common ratio is 4

Answer:

4 / 5

Step-by-step explanation:

Answer:

3. (-48) devide 48 = -1 class 7th Chapter integer

The answer is : -1

Answer:

200

Step-by-step explanation:

41 x 5 = 205

20% x 5 = 100%

Answer:

(-∞,0)

Step-by-step explanation:

The graph of ƒ(x) = |x| is below.

The function is decreasing  on (-∞,0) .

A is wrong. The function both decreases and increases on (-∞,∞).

C is wrong. The function is decreasing on (-6,0), but that is only a portion of the interval.

D is wrong. the function is increasing on (o,∞)

Answer:

517.5 mi^2

Step-by-step explanation:

Divide shapes into 3 shapes ( 1 triangle and 2 rectangles

b = 17

h = 25

Area of triangle = [tex]\frac{1}{2}[/tex] Bh

A = [tex]\frac{1}{2}[/tex] (17)(25)

A = 212.5 mi^2

Area of 1st rectangle = lw = 17(9) = 153 mi^2

Area of 2nd rectangle = lw = 19(8) = 152 mi^2

Area of figure = 212.5 +153 + 152 = 517.5 mi^2

Answer: 100

Explanation: triangle area is l x h ÷ 2 rectangle area is l x h. 4 x 3 =12÷2 +12÷2 =12 11x4x2= 88 88+ 12=100.

Answer:

360 ft

Step-by-step explanation:

1 yard = 3 feet

120x3 = 360

Brainliest?

Answer:

1.09 is the answer for the question

Answer:

1.09

Step-by-step explanation:

25/23 to the nearest hundred is mean to round up the decimal points.

25/23= 1.08695652174.

1.08695652174 to the nearest hundred would be 1.09.

Please give the brainliest! :D

Answer:

good luck always brings luck the answer is 12

Step-by-step explanation:

[tex]\huge{ \mathfrak{  \underline{ \underline{Answer }}\:  \:  ✓ }}[/tex]

The given Angles are Alternate Exterior Angle pair, so their measures will be equal :

Now,

[tex] \large{ \boxed{\angle A = 6x - 2}}[/tex]

Therefore Value of [tex]\angle A = 148°[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

∠A= 148°

Step-by-step explanation:

∠A= ∠B

∠A= 6x-2

---------------------

hope it helps..

have a great day!!

Answer:

2.85 in²

Step-by-step explanation:

Area of triangle = 1/2 x base x height

1/2 x 1.9 x 3 = 2.85 in²

9514 1404 393

Answer:

  No

Step-by-step explanation:

A probability is a unitless value between 0 and 1, inclusive. 9.48 cannot be a probability (too big). 0.4 acres cannot be a probability (has units).

Answer:

96cm

Step-by-step explanation:

If the width is x then length is 2x

so,

x+x+2x+2x=288

6x=288

x=48

length is 48cm

Answer:

10m The answer is D

Step-by-step explanation:

Answer:

Factor of GCF(Greatest common factor) of given expression = [2 × 3 × m]

Step-by-step explanation:

Given expression;

24m³ + 54m

Find:

The factor of GCF(Greatest common factor) of the given expression.

Computation:

24m³ + 54m

Step 1 :

Write in factor form;

[2 × 2 × 2 × 3 × m × m × m] + [2 × 3 × 3 × 3 × m]

Step 2 :

By taking [2 × 3 × m as common]

[2 × 3 × m][(2 × 2 × m × m) + (3 × 3)]

Step 3 :

[2 × 3 × m][(4m²) + (9)]

Factor of GCF(Greatest common factor) of given expression = [2 × 3 × m]

Answer:

3?

Step-by-step explanation:

Answer:

Step-by-step explanation:

HOPE IT HELPS

(FROM CROSS)

Answer:

yey

Step-by-step explanation:

9514 1404 393

Answer:

  B.  7.85

Step-by-step explanation:

Your knowledge of the triangle inequality tells you 'b' cannot be greater than 11+14 = 25, eliminating choices A and C. If 'b' were 24.05, as suggested by choice D, the angle at B would be nearly a straight angle.

So, the only viable choice is b = 7.85.

__

Your knowledge of "special" triangles tells you that if B were 30°, then b would be 14/2 = 7.0. The angle is slightly larger than that, so the side opposite is slightly larger than 7.0.

__

In this geometry, the Law of Cosines would be used to find b. That relationship tells you ...

  b = √(a^2 +c^2 -2ac·cos(B))

  b = √(121 +196 -308·cos(34°)) ≈ √61.66 ≈ 7.85

_____

About special triangles

There are two "special" right triangles whose trig functions are not difficult to remember. They appear quite often in algebra, geometry, and trig problems, so remembering their properties can be useful.

A 30°-60°-90° right triangle has side lengths in the ratios 1 : √3 : 2. The shortest side is exactly half the length of the hypotenuse. This fact is what we referred to above.

A 45°-45°-90° isosceles right triangle has side lengths in the ratios 1 : 1 : √2. This is the triangle you get by drawing a diagonal in a square. These ratios tell you the diagonal of a square is always √2 times the side length.