please help me this question..​

The binomial ( 5, 1/2) distribution is symmetric about 2.5.

Probability Definition in Math -

A) P(2 Sixes in 5 rolls ) = \(\frac{5}{2} (\frac{1}{6})^{2} (\frac{5}{6})^{3}\)  = 0.160751

B) P( At least 2 six in 5 rolls ) = 1 - p (at most 1 six)

                                                = 1 - [ p (0sixes ) + p (1 six) ]

                                                =  1 - (5/6)² - { 5/1} (1/6) \(( 5/4)^{4}\)

                                                = 0. 196245

(This is shorter than adding the chance of 2,3,4,5, sixes)

c) The probability that a single dice shows 4 or greater is 3/6 = 1/2

         p ( exactly 3 shows 4 or grater )  = {5 3} \((1/2)^{5}\)  = 0. 3125

d)  p ( exactly 3 shows 4 or grater ) = {5 3} + {5 4} + {5 5} \((1/2)^{5}\)   = 0.5

( The binomial ( 5, 1/2) distribution is symmetric about 2.5 )

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The complete question is -

Suppose 5 dice are rolled. Assume they are fair dice and all rolls are inde- pendent. Calculate the probabilities of the following events: a) (1 point) Exactly two sixes. b) (2 points) At least two sixes. c) (1 point) Exactly three dice show four or greater. d) (2 points) At st three dice show four or greater

Answer:

90 degrees

Step-by-step explanation:

The question asks for the temp after an hour and a half. This is the same as 90 minutes. With this, you plug 90 in for t.

This is what it looks like:

T(t)=69e^-0.0174(90) + 76

Then you solve for T(t)

T(t)=69e^-1.566 +76

T(t)=69(0.2088) +76

T(t)=14.41265 +76

T(t)=90.41265

Then round to 90 degrees

None of the above, since the improper fraction 4/3 is identical to the mixed number 1 1/3.

There are various types of fractions, including proper and improper fractions as well as mixed numbers. Mixed numbers: Sometimes converting a mixed number into an incorrect fraction is advantageous or required. If you answer equations that contain both mixed numbers and fractions, you must take this step.

Divide the full integer by the denominator of the fraction (3). (1). 3 x 1 = 3. The product you obtained in the previous step (3) after adding the fraction's numerator (1) is equal to four. 1 + 3 = 4.This turns becomes the improper fraction's numerator. As with the proportion in the mixed number, the denominator remains constant.

Hence, the set of numbers 1 1/3 fraction is 4/3.

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Answer:

144

Step-by-step explanation:

We can see that every 2 boxes has 24 peaches in it. That means that every single box would have 12 in it. Then it is just simple multiplication from there. 12 * 12 = 144.

Hope that this helps!

The solution to the system of equation y = 9x + 2 and 7y = 63x + 14 is x = -1 and y = -7

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

Given the equations:

y = 9x + 2

multiply the equation by 7:

7y = 63x + 14

-63x + 7y = 14          (1)

And:

-2x + 7y = -47     (2)

To solve by elimination method, subtract equation 2 from 1 to get:

-61x = 61

x = -1

Put x = -1 in the equation:

y = 9x + 2

y = 9(-1) + 2 = -9 + 2 = -7

The solution to the equation is x = -1 and y = -7

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Answer:

1 in 10000000000000 chance uuwuwuwuhasnafhbsf

Step-by-step explanation:

Answer:

3 1/3 cups total

Step-by-step explanation:

Add together 2 1/8 cups and 1 5/24 cups.  The LCD here is 24, and so we rewrite 2 1/8 cups as 2 3/24 cups.

Adding 2 3/24 cups and 1 5/24 cups, we get 3 8/24 cups,

which simplifies to 3 1/3 cups total

The factor of the polynomial is option (D) (2x+5)^2 is the correct answer.

In this question,

Factorization is the breaking or decomposition of an entity (i.e.,) a number, a matrix, or a polynomial into a product of another entity, or factors, which when multiplied together give the original number. Factorize an expression involves take out the greatest common factor (GCF) of all the terms.

The polynomial is \(4x^{2} +20x+25\)

The above polynomial can be factored as

⇒ \(4x^{2} +20x+25=0\)

⇒ \((2x)^{2}+2(2x)(5)+5^{2}\)

⇒ \((2x+5)^{2}\)

Hence we can conclude that the factor of the polynomial is option (D)(2x+5)^2 is the correct answer.

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If all other values remain constant, an increase in sample size will result in a broader confidence interval when constructing one.

The definition of the MoE, or margin of error, is

MoE = sigma ÷ sqrt(n)

The population standard deviation is represented by sigma. If you don't know sigma, utilize s to get a rough idea of it. The sample standard deviation is denoted by the variable s.

The MoE increases along with the sigma. The width or narrowness of the confidence interval is directly determined by the MoE. A smaller MoE indicates greater confidence with less error, whereas a larger MoE indicates greater net casting but increased error.

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Answer:

Step-by-step explanation:

Meters per second squared

The binary number 1011011 is equal to the denary number 91.

1011011two is converted to  denary by writing the numbers and assigning powers of 2 from zero to the number of digits available. For the problem, we have zero to six. then multiply out and add

= 1 x 64 + 0 x 32 + 1 x 16 + 1 x 8 + 0 x 4 + 1 x 2 + 1 x 1

this results to

= 64 + 0 + 16 + 8 + 0 + 2 + 1

then the addition is equal to

= 91.

hence, the binary number 1011011 is equal to the denary number 91.

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Answer:

5) \(x^2+151x-264\)

6)\(-30a^3-27a^2b+30ab^2+18b^3\)

Step-by-step explanation:

Answer:

Reduce 9/4 to lowest terms

94 is already in the simplest form. It can be written as 2.25 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The problem of unit root in standard regression and time-series models arises when a variable exhibits a non-stationary behavior, meaning it has a trend or follows a random walk. Unit root tests, such as the Dickey-Fuller and augmented Dickey-Fuller tests, are used to detect the presence of a unit root in a time series. These tests examine whether the coefficient on the lagged value of the variable is significantly different from one, indicating the presence of a unit root.

In standard regression analysis, it is typically assumed that the variables are stationary, meaning they have a constant mean and variance over time. However, many economic and financial variables exhibit non-stationary behavior, where their values are not centered around a fixed mean but instead follow a trend or random walk. This presents a problem because standard regression techniques may produce unreliable results when applied to non-stationary variables.

Time-series models, such as autoregressive integrated moving average (ARIMA) models, are specifically designed to handle non-stationary data. They incorporate differencing techniques to transform the data into a stationary form, allowing for reliable estimation and inference. Differencing involves computing the difference between consecutive observations to remove the trend or random walk component.

The Dickey-Fuller test and augmented Dickey-Fuller test are commonly used to detect the presence of a unit root in a time series. These tests examine the coefficient on the lagged value of the variable in a regression framework. The null hypothesis of the tests is that the variable has a unit root, indicating non-stationarity, while the alternative hypothesis is that the variable is stationary.

The Dickey-Fuller test is a simple version of the test that includes only a single lagged difference of the variable in the regression. The augmented Dickey-Fuller test extends this by including multiple lagged differences to account for potential serial correlation in the data. Both tests provide critical values that can be compared to the test statistic to determine whether the null hypothesis of a unit root can be rejected.

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If M is a minimal DFA accepting L, then the DFA Mˉ accepting the complement of L is also minimal.

(a) To prove that the class of regular languages is closed under complement, we need to show that for any regular language L, its complement Lˉ is also a regular language.

Let's assume that L is a regular language. This means that there exists a DFA (Deterministic Finite Automaton) M that accepts L. We need to construct a DFA M' that accepts the complement of L, Lˉ.

To construct M', we can simply swap the accepting and non-accepting states of M. In other words, for every state q in M, if q is an accepting state in M, then it will be a non-accepting state in M', and vice versa. The transition function and start state remain the same.

The intuition behind this construction is that M accepts strings that are in L, and M' will accept strings that are not in L. By swapping the accepting and non-accepting states, M' will accept the complement of L.

Since we can construct a DFA M' that accepts Lˉ from the DFA M that accepts L, we have shown that Lˉ is a regular language. Therefore, the class of regular languages is closed under complement.

(b) Now, let's assume that M is a minimal DFA that accepts the language L. We need to prove that Mˉ, the DFA accepting the complement of L, is also minimal.

To prove this, we can use a contradiction argument. Let's assume that Mˉ is not minimal, i.e., there exists a DFA M'' that accepts Lˉ and has fewer states than M. Our goal is to show that this assumption leads to a contradiction.

Since M is minimal, it means that there is no DFA M' that accepts L and has fewer states than M. However, we have assumed the existence of M'', which accepts Lˉ and has fewer states than M.

Now, consider the DFA M''', obtained by swapping the accepting and non-accepting states of M''. In other words, for every state q in M'', if q is an accepting state in M'', then it will be a non-accepting state in M''', and vice versa. The transition function and start state remain the same.

We can observe that M''' accepts L because it accepts the complement of Lˉ, which is L. Moreover, M''' has fewer states than M, which contradicts the assumption that M is minimal.

Therefore, our initial assumption that Mˉ is not minimal leads to a contradiction. Hence, if M is minimal, then Mˉ is also minimal.

In conclusion, we have proven that if M is a minimal DFA accepting L, then the DFA Mˉ accepting the complement of L is also minimal.

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Respuesta:

x = 5.656854249

Explicación paso a paso:

[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]

x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]

x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]

x = 5.656854249

Answer:

I would think 250 + 1.5t

Step-by-step explanation:

I hope this helps :)

Answer:

y=250×1.5x

Step-by-step explanation:

It depends on how many months

ex. after 6 months

y=2250

Standard deviation = square root of [(sum of (each observation - mean)^2) / (number of observations - 1)]. To calculate The standard deviation of the number of large earthquakes in the United States in a given year, the large number of earthquakes that occurred in the country over some time.

The calculation of the average number of large earthquakes in the USA through a standard equation:

Standard deviation = square root of [(sum of (each observation - mean)^2) / (number of observations - 1)]

According to this, each observation is the number of earthquakes that occurred in the USA in a year and the number of observations is the number of years.

It has lower worth of standard deviation on earthquakes which differs from year to year. They are complex. However, understanding the calculation is based on the typical range of variation we might expect to see in the number of large earthquakes.

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(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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Answer:

y = - 4x + 13

Step-by-step explanation:

In order to do this problem you would need a whole new equation, but you will use what is given to you:

instead of going with:

x - 4y = 20

Turn it into y = mx + b form, also known as slope-intercept form:

x - 4y = 20

-x       = -x

_________

- 4y = 20 - x

Then divide both sides by - 4:

\(\frac{-4y}{-4} = \frac{-x + 20}{-4}\)

You will then get:

y = \(\frac{1}{4}x - 5\)

From this equation we will only need the slope!

m || = \(\frac{1}{4}\)

(This slope is for parallel)

but if you want perpendicular to the slope, then we need the negative reciprocal!

Negative reciprocal is a flipped version of the value that is negative, for example:

2 = \(-\frac{1}{2}\)

Because \(\frac{2}{1}\) = 2

Now we will find the perpendicular slope which is:

m ⊥ = - 4

Now substitute this slope into slope intercept form:

y = mx + b

(-3) = -4(4) + b

(Take away parentheses)

-3 = -16 + b

(Move - 3 to the other side, by making it positive, but what you do to one side, you do to the other)

= -13 + 6

(Move - 13 to the other side, by make - 13 into +13)

+13 = +13

________

13 = b

(This is you b, also known as you intercept)

Your answer is:

y = -4x + 13

If n represents of nickels in the​ jar, then the equation that can be used to find n is; n + 77 = 90

An equation is an expression that shows the relationship between two or more numbers and variables.

Assume that n represent the number of nickels in the jar.

Given that the jar contains only​ , pennies, nickels,​ dimes, and quarters. There are 28 ​pennies, 26 dimes, and 23 quarters. The rest of the coins are nickels.

This means that the total number if pennies, dimes and quarters would be;

23 + 28 + 26 = 77

This means that the number of coins that are not nickel = is 77

The total number of coins in the jar is 90. Therefore, the equation that can be used to find n is;

n + 77 = 90

n = 90- 77

n = 13 nickels

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Answer:

the answer would be -4 because that's the simplified version of -8+(4)

Given expression is  \(x⁵/⁹\).

Recall to write the nth root of a number, we have to type root(n).

For example, to get\(³√4x\), type "\(root(3)(4x)\)".

We can write the expression x⁵/⁹ as follows:

\($$\frac{x^5}{9}$$\)

Let's rewrite the expression as:

\($$\frac{x}{\sqrt[9]{9}}^5$$\)

Let's write the nth root of a number by typing root(n).

Therefore, the final answer becomes:

\($$\frac{x}{root(9)(9)}^5$$\)

Therefore, the given expression in radical form is   \(\frac{x}{root(9)(9)}^5\)

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Answer:

Using values of x=3 and x=-21 the result of AB and AC comes same.

Hope it helped

PLS mark BRAINLIEST

Answer:

x = 3

Step-by-step explanation:

Using the geometric mean for altitude:

x + 9 = √18 *  8 = √144,

x + 9 = 12,

x = 3

Solution: x = 3

Even numbers are 2,4,6,8,10 :) ✨

Answer:

Any number that can be exactly divided by 2 is called as an even number. Even numbers always end up with the last digit as 0, 2, 4, 6 or 8. Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16.