Find the value of the expression below
8(15-4)/4^2-5

The probabilities and the possible values obtained from flipping the coin and the actual values obtained by Tiya, indicates.

Part A; The theoretical probability is 1/2

Part B; The experimental probability is 2/5

Part C; (1) The theoretical probability and the experimental probability are not the same

(2) The theoretical probability is obtained by the number of possible outcomes and the experimental probability is obtained by the number of actual outcomes

(3) Tiya would have to increase the number of times the coin is flipped

Theoretical probability is based on what should happen in theory, while experimental probability is based on what actually happens.

Part A: The theoretical probability of the coin landing heads up is the ratio of the number of ways the coin can land heads up to the total number of possible outcomes.

Since the coin has two sides, it can land either heads up or tails up. Therefore, the total number of possible outcome = 2.

The number of ways the coin can land heads up = 1

The theoretical probability that the coin lands heads up = 1/2 or 0.5

Part B; The experimental probability of the coin landing heads up is the ratio of the number of times the coin landed heads up to the total number of times the coin was flipped.

In this scenario, the coin was flipped 40 times and landed heads up 16 times. Therefore;

Part C; (1) The theoretical probability is not the same as the experimental probability

(2) The theoretical probability is based on the number of possible outcomes, whiler the experimental probability is based on the actual results of the experiment. Therefore;

The theoretical probability and the experimental probability are not always the same.

(3) Tiya would have to flip the coin more times to get close to the theoretical probability. The more times the coin is flipped, the closer the experimental probability will be the theoretical probability.

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Answer:

Step-by-step explanation:

Well you need to look at the shapes and figure out what lines are Congruent

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

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Answer:

B. 54π

Step-by-step explanation:

Surface area of cylinder = 2πrh + 2πr²

Radius = 3 cm

Height = 6 cm

Plug in the values

Surface area of the cylinder = 2*π*3*6 + 2*π*3²

Surface area = 36π + 18π

Surface area = 54π

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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Answer:

-1

Step-by-step explanation:

\( - 2 \leqslant 0 < 1\)

g(x)=0-1=-1

The value of the function g(0) is -1.

A relation is a function if it has only One y-value for each x-value.

The given function g(x) = 3x-2,  -4≤x<-2

g(x) = -x-1,  -2≤x<1

g(x)=6, 1≤x≤3

We need to find value of g(0).

Let us check at which interval the value zero lies.

The zero lies in the interval  -2≤x<1.

So we have to use the function g(x)=-x-1

Now put x as zero

g(0)=-0-1

=-1

Hence, the value of the function g(0) is -1.

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Answer:

S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3

x int = 15

y int = -10

y intercept can be found bt setting X to 0

x intercept can be found by setting Y to 0

2(0) - 3y = 30 --> -3y = 30 --> y = -10

2x - 3(0) = 30 --> 2x = 30 --> x = 15

alternatively, y int is "b" in eq. y = mx + b

-3y = 30 -2×

y = -10 + (2/3)x

y = (2/3)x - 10

b = -10

Answer:

$4,128

Step-by-step explanation:

$60 / 0.14 = $8.4

$60 - $8.4 = $51.6

$51.6 x 80 = 4,128

The sample mean would not be considered as unusual because it has probability that is greater than 5%.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

n = 69 sample size

μ=23 and σ=1.21

We have to find the probability that sample mean is less than 23.2

That is to find

= P(Z < 1.3729964)

= P(Z < 1.37)

= 0.9741        {from z - table}

The probability that sample mean is less than 23.2 is 0.9147

Hence, the sample mean would not be considered as unusual because it has probability that is greater than 5%.

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Answer:

5% is the answér

Step-by-step explanation:

Answer:

It can be written in interval notation as [-5,5)

Let's assume the number of cookies Lily bought is represented by "C," and the number of brownies is represented by "B."

According to the problem, the cost of one cookie is $2, and the cost of one brownie is $3. Lily spent a total of $144.

We can set up two equations based on the given information:

C + B = 60 (equation 1, representing the total number of sweets)

2C + 3B = 144 (equation 2, representing the total cost in dollars)

To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.

From equation 1, we can rewrite it as C = 60 - B.

Now substitute this value of C in equation 2:

2(60 - B) + 3B = 144

Simplify the equation:

120 - 2B + 3B = 144

Combine like terms:

120 + B = 144

Subtract 120 from both sides:

B = 144 - 120

B = 24

Now substitute the value of B back into equation 1 to find C:

C + 24 = 60

C = 60 - 24

C = 36

Therefore, Lily bought 36 cookies and 24 brownies.

The coefficient of the second term, 6x⁴, is 6.

The terms of the polynomial are:

-4y⁵, 6x⁴, 9w³, -4w, -1

The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.

The coefficient is 6.

Therefore, the list of terms is:

-4y⁵, 6x⁴, 9w³, -4w, -1

Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.

The coefficients indicate the scalar value by which each term is multiplied.

The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.

Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.

There is a 6 coefficient.

As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.

Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.

The scalar value by which each phrase is multiplied is shown by the coefficients.

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Step-by-step explanation:

-5x - 3 >= 2 or 4x - 2 >= 5

-5x >= 5 or 4x >= 7

x <= -1 or x >= 1.75

The answer is (-∞,-1] U [1.75, ∞).

The probability that Kyle takes at least one purple ball is 0.9

Probability is used to measure the likelihood of an event given a set of circumstances.

The probability that Kyle takes at least one purple ball is calculated by the formula P(A) = 1 – P(A’).

In this scenario, A is the event of taking at least one purple ball and A’ is the event of not taking any purple balls.

The probability of taking at least one purple ball (A) is calculated by subtracting the probability of not taking any purple balls (A’) from 1.

There are 20 balls in the bag, 18 of which are purple. This means the probability of not taking any purple balls (A’) is 2/20 = 0.1.

Therefore, the probability of taking at least one purple ball (A) is

1 – 0.1 = 0.9.

In conclusion, the probability that Kyle takes at least one purple ball is 0.9.

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No, the graph of tan 0, -1r/2 < 0 < 1r/2, is not asymptotic to the lines x = i and x = -i.

An asymptote is a line that a graph approaches but never crosses. The graph of tan 0, -1r/2 < 0 < 1r/2, has a period of π, meaning it repeats after every π, and will never cross the lines x = i and x = -i. This can be seen in the equation y = tan 0, where the x-values of -1r/2 and 1r/2 are replaced with the x-values of i and -i. The equation would be y = tan(i) and y = tan(-i), and the graphs of these equations would not be asymptotic to the lines x = i and x = -i.No, the graph of tan 0, -1r/2 < 0 < 1r/2, is not asymptotic to the lines x = i and x = -i.

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Answer:

Step-by-step explanation:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ... Can you figure out the next few numbers?

Answer:

1. 720 ways, or 6! ways

2. 3628800 ways, or 10! ways

Step-by-step explanation:

For this problem, you have to understand something called factorials.

Factorials are written in form x!, and you multiply x by the number less than x, and then 1 less than that, etc. until you get to 0.

Form: x \(*\\\) (x-1) x (x-2) . . . x 2 x 1.

1) For 6 colleges, you can visit them 6! ways, or 720 ways.

2 )For all 10, you can visit them in 10! ways, or 3628800 ways.

Answer: y=x+60

So y=mx+b is slope intercept form

y=x+60

m=1/1 because we go equally up as we go right so just put x

b=60 because we start at 60

Hope this helps

Answer:  735,471

This is one number

======================================================

Work Shown:

\(_{n} C _{r} = \frac{n!}{r!*(n-r)!}\\\\_{24} C _{8} = \frac{24!}{8!*(24-8)!}\\\\_{24} C _{8} = \frac{24!}{8!*16!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17*16!}{8!*16!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17}{8!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17}{8*7*6*5*4*3*2*1}\\\\_{24} C _{8} = \frac{29,654,190,720}{40,320}\\\\_{24} C _{8} = 735,471\\\\\)

We use the nCr combination formula because order doesn't matter.

The number of ways Kyle’s choose eight to attend his birthday party is 43263.

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, ⁿCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

Given that, there are 24 student in Kyle’s kindergarten class.

He choose eight to attend his birthday party

Now, number of ways is

²⁴C₈= 24!/8!(24-8)!

= 24×23×22×21×20×19×18×17×16!/8! 16!

= 24×23×22×21×20×19×18×17/8×7×6×5×4×3×2×1

= 3×23×11×3×4×19×3×17/4×3

= 3×23×11×3×19

= 43263

Therefore, the number of ways Kyle’s choose eight to attend his birthday party is 43263.

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Answer:

a. 14.3

Step-by-step explanation:

6+3+7+5 = 21

The blue marbles is 3.

3/21 = 14.28%

round it up = 14.3%

Answer:

A 14.3%

Step-by-step explanation:

Divide the amount of blue to the total amount of marbles. (3÷21)

Multiply that (0.14) by 100

=14.29

Round up to 14.3%

Answer is A

Answer:

10 weeks

Step-by-step explanation:

1 because 20 times 10 is 200 and if he starts with 500 then he can withdraw 20 dollars a week for 10 weeks to have 300 left by the end of the summer, hope this helps :)

Answer:

The equation

c x 2 > k

l x 3 ?> c > k

g = 30 = c + l + k

this equation is the same as...

Cecile read twice as many books as Kami.

Laura read 3 times as many books as Kami, but possibly less than Cecile.

Gigi read 30 books. 30 books is the same as all 3 girls combined.

To find out how many books each girl read, you need to find 3 unequal numbers that add up to 30. These numbers are substituted, only because they can be anything at all, and I want to prevent confusions.

hope this helps!

Answer:

a = 20,   b = 5

Step-by-step explanation:

| x-a| ≥ b

| x - 20 | ≥ 5

a = 20  ... car speed

b = 5   ... either 5 m/h above or lower than the limit speed 20 m/h

Answer:

Ten miles

Step-by-step explanation:

Use this inequality

20 + 3m = 5m

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

\(C\left[\begin{array}{ccc}370\\228.5\\332\end{array}\right]\)

Answer:

C

Step-by-step explanation:

i have verified on the internet with other websites