a coin is tossed 10,000 times. what is the chance that the number of heads will be in the range 4850 to 5150?

Answer:

the answer is 27

Step-by-step explanation:

A total of 175,760,000 different license plates are possible.

A permutation is a count of the different arrangements which can be made from a given set of things. In permutation the details matter, as the order or sequence is important. Permutation and combination are the methods employed in counting how many outcomes are possible in various situations. Permutations are understood as arrangements and combinations are understood as selections. As per the fundamental principle of counting, there are the sum rules and the product rules to employ counting easily.

According to this, if one event can occur in a ways and a second event can occur in b ways, the second event occurring after the first event did, then the two events can occur in a × b ways.

There are 26 letters in an English language.The license plate has 3 digits.  There are 10 digits from 0 to 10. The license plate has 4 digits.

The number of different license plate numbers that can be formed:

26 x 26 x 26 x 10 x 10 x 10 x 10 = 175,760,000

Thus, a total of 175,760,000 different license plates are possible.

To learn more about permutations, visit brainly.com/question/1216161

#SPJ4

the exact answer is 48.5 or in standard calculator form 48.5112

bai

Answer:

y=17

x=9

Step-by-step explanation:

1=2 (z rule)

2+3=180

1=3x+4y

2=95

3=6x+2y-3

equations

4. (3x+4y=95)×2

=>6x+8y=190

5. 95+6x+2y-3=180

6x+2y=88

4-5= equation 6

6. 6y=102

y=17

input into original equations

x=9

Answer:

<2, <5

Step-by-step explanation:

<2 is a vertical angle so it is equal to 110

<5 is a corresponding angle and since the lines are parallel it is also equal to 110

In Utah, if not directly involved in diving activity, motorized vessels and personal watercraft (PWCs) must remain 150 feet from the diver down flags.

The diver down flag is a banner that is used by vessels to indicate that divers are in the water. It is typically a red flag with a white diagonal stripe that is used to indicate the presence of divers in the water. The flag must be at least 12 x 12 inches in size and must be clearly visible from all directions. When the flag is raised, boaters are expected to keep a safe distance from the divers and to take extra precautions to ensure that they do not pose a hazard to the divers.The diver down flag should be used whenever there are divers in the water. This includes scuba divers, free divers, and anyone else who is swimming or diving underwater. The flag should be raised before the divers enter the water and should be lowered when they exit the water. In addition to the flag, divers are required to use other means of indicating their presence in the water, such as lights and audible signals, to ensure that boaters can see and hear them. Motorized vessels and personal watercraft (PWCs) must remain at least 150 feet from the diver-down flag. This means that they must keep a safe distance from the divers and take extra precautions to ensure that they do not pose a hazard to the divers. If a motorized vessel or PWC is directly involved in the diving activity, such as transporting divers to and from the dive site, they may operate closer to the flag, but they must still maintain a safe distance from the divers at all times.

Learn more about motorized vessels here:-

https://brainly.com/question/32284944

#SPJ11

Answer:

The slope is 10/1 so +10

Step-by-step explanation:

Hope this helps !!!

Answer:

10.

Step-by-step explanation:

Picking out 2 convenient points, (3, 30) and (0, 0):

Slope = (30-0)/(3-0)

= 30/3

= 10.

Answer:

28 ounces

is the answer

Answer:

28

Step-by-step explanation:

the answer is 28 because 40 present of 70 is 28

The equivalent expression is (p3)(6p^4 - 12p^3 - 2p^2 + 4p).

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

(p^3)(2p^2 - 4p)(3p^2 - 1)

Now further solving

(p^3)(2p^2 * 3p^2 - 2p^2 * 1 - 4p * 3p^2 + 4p)

=(p^3) (6p^4 - 2p^2 - 12 P^3 + 4p)

=(p3)(6p^4 - 12p^3 - 2p^2 + 4p)

Hence, the value of expression is (p3)(6p^4 - 12p^3 - 2p^2 + 4p).

Learn more about expression here:

https://brainly.com/question/28172855

#SPJ1

Answer:

Step-by-step explanation:

x^2-2x

x(x-2)

Answer:

Presumably you want to factor this, as there is no full equation to solve.

In this case you can divide both terms by x, giving you:

x(x - 2).

If you want to factor it into binomials, that's easy enough, as this is very close to being a difference of squares:

(x + x√2)(x - x√2)

You could just factor x out of both terms as well, giving you

x(x - 2)

The sum of the geometric sequence is 6 + 6² + 6³ + ... + 6ⁿ can be written as \(\frac{6^n^+^1-6}{5}\)  in closed forms.

The sum of n terms of G.P. is given by:

\(\frac{a(r^n-1)}{r-1}\)

Here, a, r are the first term and the common ratio respectively.

To write the sum of the geometric sequence 6 + 6² + 6³ + ... + 6ⁿ in closed form, we can use the formula for the sum of a geometric sequence:

=> \(\frac{a(r^n-1)}{r-1}\)

In our sequence, a = 6, r = 6, and n is any integer with n ≥ 1.

Now, We have substitute the values in above formula:

=> \(\frac{6.6^n-6}{6-1}\)

Now you have the closed form for the sum of the geometric sequence:

=> \(\frac{6^n^+^1-6}{5}\)

Learn more about  Geometric sequence at:

https://brainly.com/question/27852674

#SPJ4

To increase the mean pavement deflection by 0.04, an approximate increase of 5.19 in the temperature is required.

To determine the approximate increase in temperature necessary to increase the mean pavement deflection by 0.04, we need to analyze the relationship between the variables using regression analysis.

From the given summary quantities, we can calculate the slope of the regression line (β1) using the formula:

β1 = (∑xy - (1/n) * ∑x * ∑y) / (∑x^2 - (1/n) * (∑x)^2)

Substituting the given values into the formula, we have:

β1 = (1083.67 - (1/20) * 1478 * 12.75) / (143215.8 - (1/20) * (1478)^2)

Simplifying the calculation:

β1 = (1083.67 - 147.8) / (143215.8 - 21750.2)
β1 = 935.87 / 121465.6
β1 ≈ 0.0077

The slope of the regression line (β1) represents the change in the dependent variable (pavement deflection, y) per unit change in the independent variable (roadway surface temperature, x).

Therefore, to increase the mean pavement deflection by 0.04, we can use the slope of the regression line to estimate the required increase in temperature:

Approximate increase in temperature = (0.04 / 0.0077)

Calculating the approximate increase:

Approximate increase in temperature ≈ 5.19

Hence, to increase the mean pavement deflection by 0.04, an approximate increase of 5.19 in the temperature is required.

learn more about mean here: brainly.com/question/31101410
#SPJ11

Using the information, combine the individual probabilities to compute the probability that Peter will pass the quiz is (c) 0.0035.

To compute the probability that Peter will pass the quiz (i.e., get at least 7 questions correct), we need to sum the probabilities of getting exactly 7, exactly 8, exactly 9, and exactly 10 questions correct.

So, the probability of passing the quiz is:

P (getting at least 7 correct) = P (getting exactly 7 correct) + P (getting exactly 8 correct) + P (getting exactly 9 correct) + P (getting exactly 10 correct)

= 0.0031 + 0.000386 + 2.86 × 10⁻⁵ + 9.54 × 10⁻⁷

= 0.0035

Therefore, the result is c. 0.0035.

The binomial formula can be used to solve a wide range of problems in probability and statistics. The binomial formula is used to calculate the probability of getting a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure).

Learn more about Probability of Passing Quiz here:

https://brainly.com/question/30308932

#SPJ4

Answer:

(0,6) and (-2, 0)

Step-by-step explanation:

All straight lines follow the equation, y = mx + c. where c is the y-intercept (the point where the line meets the y-axis) and m is the gradient.

In this equation, c = 6. So, the point where the line meets the y-axis is (0, 6).

Remember: the point where the line meets the y-axis always has an x-coordinate of 0 and the point where the line meets the x-axis has a y-coordinate of 0.

using this information, we can substitute y in the equation with 0 becoming

0 = 6 + 3x

now we can solve for x.

0 -6 = 3x

-6 / 3 = x

x = -2

the coordinate is (-2, 0)

Answer:

168 feet

Step-by-step explanation:

area of trapezoid = length (a)+ breadth(b) / 2 height

Answer:

60% adult

40% children

Reasoning:

Add the adults and children first.

Then find the ratios of the children and parent percentages.

16:40 children

24:40 adult

16/40=2/5=0.4=40% children

24/40=3/5=0.6=60% adult

Answer:

40% is children and 60% in adults

Step-by-step explanation:

so if you add the two you have 40, 100% of 40 is 40 and 50% is 20, so we know that the children percent is less than 50, if you go through you will find that 40% of 40 is 16 therefor leaving the rest (aka 60%) to be adults

Answer:

Juggernog is a Perk in Call of Duty: World at War and Call of Duty: Black Ops. It appears in every Nazi Zombies map (excluding Nacht der Untoten). It is the zombies equivalent of Juggernaut. Juggernog costs 2500 points in every map in which it is available.

Approximately 95.44% of the data falls within ±2 standard deviations of the mean in a normal distribution.

To find the percentage of the area under the normal curve that falls between ±2 standard deviations, we need to follow the following steps:

We need to know the mean (μ) and standard deviation (σ) of the normal distribution in question. If we assume a standard normal distribution (i.e., a normal distribution with mean of 0 and standard deviation of 1), then we can use a z-score table to find the percentage of area under the curve.

The z-score formula is:

z = (x - μ) / σ

For ±2 standard deviations, the values of x are μ ± 2σ. Therefore, the z-scores are:

z = (μ + 2σ - μ) / σ = 2

z = (μ - 2σ - μ) / σ = -2

A z-score table gives the percentage of area under the standard normal curve that falls to the left of a given z-score. Since the normal distribution is symmetric, the percentage of area to the right of a negative z-score is the same as the percentage of area to the left of the corresponding positive z-score.

Using a z-score table, we find that the percentage of area under the standard normal curve that falls to the left of z = 2 is 0.9772, or 97.72%. Therefore, the percentage of area under the curve that falls between ±2 standard deviations is:

97.72% - (100% - 97.72%) = 95.44%

This means that approximately 95.44% of the data falls within ±2 standard deviations of the mean in a normal distribution.

Learn more about Standard deviations

brainly.com/question/23907081

#SPJ11

Answer:

Yes.

Step-by-step explanation:

The difference of two rational numbers is always a rational number because the numbers are always complete. There will never be a running number. Think of it as multiplying two positive numbers, you can never receive a negative from two positives.

Answer:

4.587

Step-by-step explanation:

Step-by-step explanation:

It is given that,

LM = 4x, MN = 5 and LN = 9x

Note :Consider that L is mid point of M and N

MN = LM + LN

Putting all values, we get :

5 = 4x + 9x

5 = 13 x

x = 5/13

Put the value of x in, LN = 9x

\(LN=9\times \dfrac{5}{13}\\\\LN=3.461\)

or

\(LN=\dfrac{45}{13}\\\\\text{or}\\\\LN=3\dfrac{6}{13}\)

The Fourier series for f(x) is f(x) = (4/π) [sin(x) + (1/3) sin(3x) + (1/5) sin(5x) + ...].

The square wave function can be defined as:

f(x) = {1 -π ≤ x < 0

-1 0 ≤ x < π

To find the Fourier series for this function, we first need to determine the coefficients a_n and b_n.

a_n = (1/π) ∫_0^π f(x) cos(nx) dx

= (1/π) ∫_0^π (-1) cos(nx) dx + (1/π) ∫_(-π)^0 cos(nx) dx

= (2/π) ∫_0^π cos(nx) dx

= (2/π) [sin(nπ) - sin(0)]

= 0

b_n = (1/π) ∫_0^π f(x) sin(nx) dx

= (1/π) ∫_0^π (-1) sin(nx) dx + (1/π) ∫_(-π)^0 sin(nx) dx

= -(2/π) ∫_0^π sin(nx) dx

= -(2/π) [cos(nπ) - cos(0)]

= (2/π) [1 - (-1)^n]

Therefore, the Fourier series for f(x) is:

f(x) = (4/π) [sin(x) + (1/3) sin(3x) + (1/5) sin(5x) + ...]

To find the first three Fourier approximations, we truncate this series at the third term.

F_1(x) = -(4/π) sin(x)

F_2(x) = (4/π) sin(x) + (4/3π) sin(3x)

F_3(x) = (4/π) sin(x) + (4/3π) sin(3x) - (4/5π) sin(5x)

These are the first three Fourier approximations of the square wave function f(x). The more terms we include in the Fourier series, the closer the approximations will be to the original function.

To learn more about the Fourier series

https://brainly.com/question/29672996

#SPJ4

Answer:

Screenshot and post it please

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(Tan(R)=\frac{45}{28} \\R=Tan^{-1} (\frac{45}{28} )\\\\\\\\Tan(S)=\frac{28}{45} \\S=Tan^{-1} (\frac{28}{45})\)

The mistakes Marshal made. He forget to divide the number last time by 10

25,328.941 ÷ 10^4

The division is the inverse of multiplication. When you divide a number by 10, each digit moves one place to the right to make it 10 times smaller.

=25,328.941 /10*10*10*10

= 25,32.8941 /10*10*10

= 25,3.28941 /10*10

= 25.28941 /10

= 2.528941

25,328.941 ÷ 104. The answer he wrote was 25.328941 written by a teacher

He forget to divide the number last time by 10

learn more about Division Methode: brainly.com/question/22528580

#SPJ1

Step-by-step explanation:

mean; add all of them u will get 149 then ÷by 8 answer is 18.62

median. the middle number is 17

mode..the most common numbers are 17 and 19

range is 24-15=9

The equation that describes the function is determined as y = x + 3.

The slope of a line is defined as rise over run, or the change in the y values to change in x values.

The slope of the line is calculated as follows;

slope, m = Δy / Δx = ( y₂ - y₁ ) / ( x₂ - x₁)

From the points on the graph, we have;

(x₁, y₁ ) = (-1, 2)

(x₂, y₂) = (1, 4)

m = ( 4 - 2) / ( 1 + 1 )

m = 2/2

m = 1

The y intercept of the line is 3

The general equation of a line is given as;

y = mx + c

where;

y = x +  3

Thus, the equation that describes the function is determined as y = x + 3.

Learn more about equation of line here: brainly.com/question/13763238

#SPJ1

Answer:

  7 cm, 16 cm, 19 cm

Step-by-step explanation:

Let s represent the length of the shortest side in cm. The longest side is 3s-2, and the other side is 2s+2. The perimeter is the sum of the side lengths.

  P = s + (3s -2) +(2s +2)

  42 = 6s . . . . . simplify, use the given value of perimeter

  7 = s . . . . . . . divide by 6

  2s+2 = 16

  3s -2 = 19

The side lengths are 7 cm, 16 cm, and 19 cm.

When the above is simplified using Boolean Algebra, we have F = x' + y' + w'xy.

We can simplify  the Boolean function F = xy'z' + xy'z+ w'xy +   w'x'y' + w'xy using the following Boolean Algebra rules.

Absorption - x + xy = x

Commutativity -  xy = yx

Associativity - x(yz) = (xy)z

Distributivity - x(y + z) = xy + xz

Using the above , we   have

F = xy'z' + xy'z+ w'xy + w'x'y' +   w'xy

= xy'(z + z') + w'xy(x + x')

= xy' +  w'xy

= (x' + y)(x' + y')  + w'xy

= x' + y' + w'xy

This means that the simplified expression is F = x' + y' + w'xy.

Learn more about Boolean Algebra:

https://brainly.com/question/31647098
#SPJ4

Answer:

Step-by-step explanation:

See attached image.