two 6-sided dice are rolled 40 times and the data from each roll is recorded. what are the theoretical odds of how many times the dice landed with the same number?

An economist's use of experiments and real-world data to test a theory is an example of empirical research, which involves gathering data through observation and experimentation to support or refute a hypothesis.

Empirical research is a cornerstone of the scientific method and is used in a wide range of disciplines to explore, understand, and predict natural and social phenomena. In the case of an economist, this might involve conducting a controlled experiment in a laboratory setting or analyzing data from real-world economic transactions to test a hypothesis or theory.

The use of empirical research in economics is important because it provides a way to test and refine economic theories and models, as well as to gain insight into complex economic phenomena. By combining theoretical models with real-world data, economists can develop more accurate and nuanced understandings of economic systems and make informed predictions about future trends. This, in turn, can inform policy decisions and help guide the development of effective economic strategies.

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The function f(x) = (4x³ - 5x - 1)/(2x² - 3x² + x - 3) does not have a horizontal asymptote.

To find the equation of the horizontal asymptote of the function f(x) = (4x³ - 5x - 1)/(2x² - 3x² + x - 3) as x approaches infinity (x → ∞), we can examine the behavior of the function when x is extremely large.

Divide each term in the numerator and denominator by the highest power of x. In this case, divide both numerator and denominator by x³:

f(x) = (4x³/x³ - 5x/x³ - 1/x³) / (2x²/x³ - 3x²/x³ + x/x³ - 3/x³)

= (4 - 5/x² - 1/x³) / (2/x - 3/x² + 1/x² - 3/x³)

As x approaches infinity, all the terms involving 1/x or 1/x² or higher powers of x become negligible. Therefore, we can ignore them and simplify the expression:

f(x) ≈ (4 - 0 - 0) / (0 - 0 + 0 - 0)

= 4/0

Since the denominator approaches zero and the numerator does not, we can conclude that the function approaches positive or negative infinity as x approaches infinity. This means that there is no horizontal asymptote for the function f(x).

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Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

Answer:

X, 3, 1

Step-by-step explanation:

hello again.

Answer:

Step-by-step explanation:

since 19 is prime number it can only be expressed as 19/100 (this is the most common one)

Answer:

50%

Step-by-step explanation:

if there are two sides and are equally likey to land on the same side 100%/2 = 50% boom have a good friday

Answer:

a = h/2 would be the answer.

Step;-

Find slope:-

m = rise/run = (16-8)/(8-4) = 8/4 = 2

Now,

y = mx + b

or, 8 = 2(4) + b

so, b = 0

So,

y = mx + b

or, h = 2a + 0

so, h = 2a

hence,a = h/2.

The sea sponges's height grows 2cm every 1 year, so you can write an equation to find the height at any age \(a = \frac{h}{2}\)

the data are normally distributed with a mean of 74.674.6 hours and a standard deviation of 9.19.1 hours. So  10.2% of gadgets were powered by batteries for fewer than 63 hours.

Given that,

Data have a mean of 74.6 hours and a standard deviation of 9.1 hours, and they are regularly distributed.

The standard deviation is defined as ?

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

\(p(X\leq 63) = p(Z\leq 63-74.6/9.1)\)

From standard deviation,

         \(p(X\leq 63) = p(Z\leq -1.279)= 0.1061\)

a certain percentage of gadgets have battery life of less than 63 hours.

X= 63 hours

Percentage of devices ran on the batteries for fewer than 63 hours = 10.2%

Therefore, 10.2% of electronic devices had battery life of less than 63 hours

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Let's denote the time it takes for the student aide to complete the job alone as "x" minutes.

According to the given information, the teacher can assemble and staple the newsletter three times faster than the student aide. Therefore, the teacher's time to complete the job alone is "x/3" minutes.

When they work together, their combined work rate is the sum of their individual work rates. We can express this as:

1/x + 1/(x/3) = 1/21

To simplify the equation, we can multiply through by the least common multiple (LCM) of the denominators,

which is 3x:

3 + 3/x = x/(21x)

Multiplying both sides of the equation by 21x:

63x + 63 = x^2

Rearranging the equation:

x^2 - 63x - 63 = 0

Now we can solve this quadratic equation for "x" using factoring, completing the square, or the quadratic formula.

Factoring is not straightforward in this case, so let's solve it using the quadratic formula:

x = (-(-63) ± sqrt((-63)^2 - 4(1)(-63))) / (2(1))

Simplifying:

x = (63 ± sqrt(3969 + 252)) / 2

x = (63 ± sqrt(4221)) / 2

Now, calculating the square root:

x ≈ (63 ± 64.98) / 2

We have two possible solutions:

x ≈ (63 + 64.98) / 2 ≈ 128.98 / 2 ≈ 64.49

or

x ≈ (63 - 64.98) / 2 ≈ -1.98 / 2 ≈ -0.99

Since time cannot be negative, we discard the negative solution.

Therefore, it would take the student aide approximately 64.49 minutes to complete the job alone, and the teacher, who is three times faster, would take approximately 21.50 minutes (64.49/3) to complete the job alone.

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Answer: n < 60

Step-by-step explanation:

n - 48 < 12

n - 48 + 48 < 12 + 48

n < 60

For n = 3, x = 9, and x = 2i, we can say that one of the factors is (x - 9) as well as (x - 2i).

(x - 2i) is derived from x² = -4 which is equal to (x² + 4). Therefore, the two factors are (x - 9) and (x² + 4). To get the polynomial function, let's multiply the two factors using FOIL Method.

The polynomial function of the first bullet is f(x) = x³ - 9x² + 4x - 36.

For n = 3, x = -1, and x = 4 + i, we can say that the factors are:

(x + 1) , (x - (4 + i)), and (x - (4 - i))

Note: Always remember those complex zeros like x = 4 + i come in conjugate pairs.

To solve the polynomial function, let's multiply the three factors.

The polynomial function of the second bullet is f(x) = x³ - 7x² + 9x + 17.

Answer:

the awnser is use  for the variable  for fruit

Step-by-step explanation:

To find the value of x, we need to isolate it on one side of the equation.

First, we can subtract 3 from both sides:

8x + 3 - 3 = 14 - 3

This simplifies to:

8x = 11

Next, we can divide both sides by 8:

8x/8 = 11/8

This gives us:

x = 11/8

So the value of x that will get us to 14 is 11/8.

Hope this helps

Answer:

1.000000000000012e+16

Step-by-step explanation:

uh

Answer:

  90.7

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(S) = RT/ST

  ST = RT/sin(S) = 63/sin(44°) ≈ 90.7

The length of ST is about 90.7 units.

Answer:

\(\sqrt{170} = c\)

Step-by-step explanation:

We are trying to find the hypotenuse of a right triangle

We will use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and  c is the hypotenuse

11^2 + 7^2 = c^2

121 + 49 = c^2

170 = c^2

Taking the square root of each side

\(\sqrt{170} = c\)

Answer:

\( \red{c = \sqrt{170} }\)

Step-by-step explanation:

We can use Pythagorean Theorem to find the value of the hypotenuse(C).

\( {a}^{2} + {b}^{2} = {c}^{2} \\ {7}^{2} + {11}^{2} = {c}^{2} \\ 49 + 121 = {c}^{2} \\ 170 = {c}^{2} \\ \sqrt{170} = c \\ 13.03 \: units = c\)

Step-by-step explanation:

this is answer. hope this helps you

Answer:

y= x + 3

Step-by-step explanation:

I have the same question and that was the correct answer

y= x+ 3 is flatter.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.

As, the slope of y = x + 3 is 1.

So, the gradient is 1.

So, y = 2x + 3 is flatter

The slope of 2x-1 is 2

and, the slope of y= -4x+3 is -4

and the gradient is -4.

So, y= -4x +3 is steeper.

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answer here!

sry it is a bit messy

Answer:

1) 11001 base 2

2)133 base 5

1) To convert base 10 into base 2

25/2= 12remainder 1

from this point on, the remainders will be replaced by r

12/2= 6r0

6/2=3r0

3/2=1r1

1/2=0r1

The remainders are then written down from the bottom up

= 11001

2) To convert 101011 base 2 into base 5

101011= 1×2⁵ + 0×2⁴+ 1×2³+ 0×2² + 1×2¹ + 1×2⁰

=1×32 + 0×16 + 1×8+ 0×4+1×2+1×1

=32+0+8+0+2+1

=43 base 10

Then convert 43 base 10 to base 5

43/5=8r3

8/5=1r3

1/5=0r1

=133 base 5

Answer:

i would say 42

Step-by-step explanation:

5^3 + 6[2 - 4(7-8)^2] = 125 + 6(-2)

= 125 - 12

= 113

Answer:

do it got a picture

Step-by-step explanation:

The magnitude of the electric force upon an electron at point B is 8.16 x 10^-20 N, and it would accelerate in the direction opposite to the electric field, or -7.

The upon an electron at point B can be calculated using the formula F = qE, where F is the force, q is the charge of the electron, and E is the electric field magnitude. The charge of an electron is 1.6 x 10^-19 C, and the electric field magnitude at point B is 0.51 V/m. Therefore, the magnitude of the electric force is:

F = (1.6 x 10^-19 C) (0.51 V/m) = 8.16 x 10^-20 N

To determine the direction in which the electron would accelerate at point B, we need to consider the direction of the electric field. The electric field direction at point B is not given in the table, but we can assume that it is the same as the direction at point A, which is 7.

Therefore, the electron would accelerate in the direction opposite to the electric field, or -7.

The vector indicating the direction in which the electron would accelerate at point B can be drawn as follows:

<--- (electron)

In conclusion, the magnitude of the electric force is 8.16 x 10^-20 N, and it would accelerate in the direction opposite to the electric field, or -7.

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The rule for the given pattern is to subtract 13, then add 24.

The correct Option is (A.) subtract 13, then add 24.

A pattern or sequence in a series of numbers is called a number pattern. In general, this pattern builds a connection between all integers.

In this question we have the following pattern:

1, -12, 12, -1

Here we need to find the rule for this pattern.

Let's take the first number of the pattern, which is 1:

1

To obtain the second number of the pattern, which is -12, we must subtract 13, because:

1 - 13 = -12

To obtain the third number of the pattern, which is 12, we must add 24, because:

-12 + 24 = 12

Therefore, the correct answer is A.) subtract 13, then add 24

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The complete question is: "Which best describes the rule for this pattern? 1,-12,12,-1 A.) subtract 13, then add 24 B.) subtract -13, then add 24 C.) subtract -24, then add 13 D.) subtract 24, then add 13"

Answer:

i believe the answer 602

Step-by-step explanation:

tell me if im wrong but hoped I helped:)

Answer:

602

Step-by-step explanation:

hope it helps

Answer:

C

Step-by-step explanation:

\(60*2 = 120\)

\(60*3=180\)

\(60*4=240\)

Answer:

1/6

Step-by-step explanation:

5/30 and if you simplify this fraction it gives you 1/6