you roll a 6 sided die what is p(greater than 4)

The probability of any one undergraduate being selected in a random sample of 2550 undergraduates from a population of 25500 can be calculated using the formula:

Probability = Number of individuals in the sample / Total population

In this case, the probability would be:

Probability = 2550 / 25500 = 0.1 or 10%

Therefore, the probability of any one undergraduate being included in the random sample is 10%. This means that for every 10 undergraduates in the population, only one would be included in the sample. It is important to note that this probability assumes a truly random sampling process with no bias or influencing factors affecting the selection of individuals.

In conclusion, the probability of any undergraduate being in a random sample of 2550 undergraduates selected from a population of 25500 is 10%. This information can be useful in determining the representativeness of the sample and making inferences about the larger population based on the characteristics of the sample.

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Answer:

x = 80

Step-by-step explanation:

\(\sqrt{5x}=20\\\)

Take square,

\((\sqrt{5x})^{2}=20^{2}\\\\5x=20*20\\\\x=\frac{20*20}{5}\\\)

x = 4*20

x   = 80

The nominal rate compounded annually that is equivalent to i(365) = 7.725% is i(1) = 7.147%. In conclusion, option b satisfies the given condition.

Based on the information given, we need to find the nominal rate compounded annually that is equivalent to i(365) = 7.725%. Among the options provided, option b. i(1) = 7.147% is the closest to the given rate. To confirm if it is the correct answer, we can calculate the effective annual interest rate using the formula:
(1 + i(1))^(365) = 1 + i(365)
Substituting the values, we have:
(1 + 0.07147)^(365) = 1 + 0.07725
Using a calculator, we find that the left-hand side is approximately 1.07725, which confirms that option b is the correct answer.

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Answer:

40, 48, 56

Step-by-step explanation:

8x5 is 40

8x6 is 48

8x7 is 56

I hope this helps have a good day

0.117 Or 11.7% chance of n should the player choose in order to maximize the probability of winning a prize.

The probability of precisely x successes on n further trials in an experiment with two potential outcomes is referred to as the binomial probability (commonly called a binomial experiment).

When a procedure is performed a certain number of times (for example, in a group of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of witnessing a defined number of "successes."

The probability of winning a prize remains the same for. n = 10 or n=20 or n = 100; the probabilities are the same.

Given that,

p = 0.5, So, q = 1 - 0.5 = 0.5.

If 70% of 'n' games are won then 30% of n games must be lost.

Let n = 10.

Therefore, P ( x = 3) = \(^{10}C_3p^7q^3\)

or, P ( x = 3) = \(^{10}C_3(0.5)^7(0.5)^3\)

or, P (x = 3) = 120×0.0078×0.125.

or, P (x = 3) = 0.117 Or 11.7% chance.

Now, Changing the value won't have any effect as all the 'n's are multiple of 10 and we'll have same probability.

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Let's assume the first odd integer is x. Since the next odd integer would be consecutive, we can represent it as x + 2.

According to the problem, the product of these two consecutive odd integers is 399:

x * (x + 2) = 399

Expanding the equation:

x^2 + 2x = 399

Rearranging the equation into a quadratic form:

x^2 + 2x - 399 = 0

To solve this quadratic equation, we can either factor it or use the quadratic formula. Let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 1, b = 2, and c = -399.

x = (-2 ± √(2^2 - 4 * 1 * -399)) / (2 * 1)

Simplifying:

x = (-2 ± √(4 + 1596)) / 2

x = (-2 ± √1600) / 2

x = (-2 ± 40) / 2

Now, we can calculate the two possible values for x:

x = (-2 + 40) / 2 = 38 / 2 = 19

x = (-2 - 40) / 2 = -42 / 2 = -21

Since we are looking for consecutive odd integers, we take the positive value of x, which is 19. The next consecutive odd integer would be 19 + 2 = 21.

Therefore, the two consecutive odd integers whose product is 399 are 19 and 21.

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The minimum value that the expression 2x²+5x+7 can have is 31/8

What is expression ?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases.

Min value of polynomial is = (4ac - b²)/4a

a = 2 b = 5 and c= 7

Minimum value = ([4×2×7]-25)/8

                         = (56-25)/ 8

                        = 31/8

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Answer: 69.3 and 110.7 degrees

Step-by-step explanation:

We know that, the trigonometric relationship -

sin(x) = C.O/ h

where,

C.O = opposite leg

h = hypotenuse

using these values in the equation we have -

sin(20) = 5/c

c = 5/sin(20)

c = 14.61

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Disclaimer : The diagram for the question is attached.

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✧ \( \underline{ \underline{ \large{ \red{ \tt{G \: I\: V \: E\: N}}}} }: \)

❀ \( \underline{ \underline{ \large{ \tt{ \purple{T \: O \: \: F \: I\: N\: D}}}}} : \)

♕ \( \underline{ \underline{ \large{ \tt{ \orange{P \: R\:O \: O \: F \: S}}} }}: \)

\(\begin{array}{ |c| c | c | } \hline \text{SN}& \text{Statement} & \text{Reason}\\ \hline \\ \text{1 \: i.}& \sf{In \triangle} \:ABC \: \& \: \triangle \: ACD \: \ \\ & \tt{ \angle ACB= \angle \: ACD(A)}\ & \sf{AC \: bisects \angle \: BCD(Given)} \\ \text{ii} \: & \tt{AC= CA(S)}& \sf{Common \: side} \\ \text{iii} \: & \tt{ \angle \: BAC = \angle \: CAD(A)}& \sf{AC \: bisects \: \angle \: BAD ( Given )}& \\ \\ \hline 2& \tt{ \triangle} \: ABC \cong \triangle{ADC}& \red{\underline{\sf{ \bold{By \: ASA\: axiom}}}} \\ \hline\end{array}\)

Hence , We can conclude :

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The missing sides of the given right-angle triangle are b = 2√2 and a = 2√2.

What is the trigonometric ratio?

the trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

The missing sides of the given right-angle triangle are b = 2√2 and a = 2√2.

We can use trigonometric ratios to solve for the unknown sides of the given right-angled triangle.

Let's start by identifying the trigonometric ratio that involves the sides we know and the unknown side we need to find. Since we know the hypotenuse and the opposite side, we can use the sine ratio, which is defined as:

sin(θ) = Opposite/Hypotenuse

Substituting the known values, we get:

sin(45) = b/4

We can solve for b by isolating it on one side of the equation:

b = 4 sin(45)

Using the fact that sin(45) = 1/√2, we can simplify the expression for b:

b = 4/√2

To simplify this further, we can multiply both the numerator and denominator by √2:

b = 4√2/2

Simplifying the fraction, we get:

b = 2√2

Now, let's use the cosine ratio to solve for the adjacent side a. The cosine ratio is defined as:

cos(θ) = Adjacent/Hypotenuse

Substituting the known values, we get:

cos(45) = a/4

We can solve for a by isolating it on one side of the equation:

a = 4 cos(45)

Using the fact that cos(45) = 1/√2, we can simplify the expression for a:

a = 4/√2

Multiplying both the numerator and denominator by √2, we get:

a = 4√2/2

Simplifying the fraction, we get:

a = 2√2

Therefore, the missing sides of the given right-angle triangle are b = 2√2 and a = 2√2.

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Answer:

105 = (5x-70)

Step-by-step explanation:

You are trying to find x so you would have to place that in to finally get to the end where x = 5

Answer:

2 1/100

Step-by-step explanation:

First you put the 2 in Then you get the 1/100 and put it next to the 2

Using  both and levels of significance and the critical value, we can conclude that the percentage of spam emails sent by the huge firm is different from the percentage in a recent month.

The population proportion of spam emails in a recent month is p = 0.718.

A random sample of emails from a large corporation has a sample proportion of spam emails, p'= 0.645.

We want to test the hypothesis that the population proportion of spam emails in the large corporation is different from p = 0.718.

We will use both 0.05 and 0.01 levels of significance and the critical value method.

To test this hypothesis using the critical value method, we can follow these steps:

The null hypothesis is that the population proportion of spam emails in the large corporation is equal to 0.718:

H0: p = 0.718

The alternative hypothesis is that the population proportion of spam emails in the large corporation is different from 0.718:

Ha: p ≠ 0.718

We will use both 0.05 and 0.01 levels of significance. Since we have a large sample (np > 10 and n(1-p) > 10), we can use the z-test for proportions. The test statistic is calculated as:

z = ( p' - p) / sqrt(p(1-p)/n)

where n is the sample size.

Using a standard normal distribution table, the critical values for a two-tailed test at the 0.05 and 0.01 levels of significance are:

At the 0.05 level: ±1.96

At the 0.01 level: ±2.58

Step 4: Calculate the test statistic and p-value.

Using the formula for the test statistic and the given values, we get:

z = (0.645 - 0.718) / sqrt(0.718(1-0.718)/n)

Since we don't know the population standard deviation, we use the standard error estimated from the sample:

z = (0.645 - 0.718) / sqrt(0.718(1-0.718)/n) = -2.546 / sqrt(0.718(1-0.718)/n)

Using n = 1000 (a reasonable sample size for an email server), we get:

z = -2.546 / sqrt(0.718(1-0.718)/1000) = -9.386

The corresponding p-value for this test statistic is very small (less than 0.0001), indicating strong evidence against the null hypothesis.

At the 0.05 level of significance, the critical value is ±1.96, which does not include the calculated test statistic of -9.386. Therefore, we reject the null hypothesis and conclude that the population proportion of spam emails in the large corporation is different from 0.718.

At the 0.01 level of significance, the critical value is ±2.58, which also does not include the calculated test statistic of -9.386. Therefore, we reject the null hypothesis at this level of significance as well.

In conclusion, we have strong evidence to suggest that the proportion of spam emails in the large corporation is different from the proportion in a recent month (0.718).

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Answer:

49 mins

Step-by-step explanation:

11.08=15-0.08x

11.08-15=-0.08x

-3.92=-0.08x

x=49

Yes, it is possible to write 7 as a linear combination of the given vectors V1, V2, and V3 with coefficients that are not all zero.

One such linear combination can be given as follows:7 = -3V1 + 4V2 + V3To prove that this is indeed a linear combination of the given vectors, we can substitute the given vectors and coefficients in the above expression and verify that it gives the desired result.

So, we have:RHS = -3V1 + 4V2 + V3= -3(2i - 3j + k) + 4(-i + 2j + 3k) + (i - j - k)= -6i + 9j - 3k - i + 8j + 12k + i - j - k= 7j + 8kSince this result matches with the given vector 7, we can conclude that 7 can be written as a linear combination of the given vectors with coefficients that are not all zero.Hence, the required linear combination is:7 = -3V1 + 4V2 + V3.

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The answer 850709 is

6

because

if there is $48 to spend on the event and it costs $8 for each attendee, divide 48 by 8 to get 6.

Answer:

I think it should be 6 no?

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

\(1-3x=3x+1\\-3x-3x=1-1\\-6x=0\\x=0\)

Answer:

Elimination method

Step-by-step explanation:

We have a choice to eliminate the y or x:

I chose x

So now we double the second equation to make the co efficient of x the same:

6x-5y = -3

6x+4y = 24

Now we subtract both equations to eliminate the x's:

6x-5y = -3
-     -       -

6x+4y = 24

-9y = -27

y = 3

Now we substitute this value into either equation 1 or 2:
I chose 2

3x + 2(3) =12

Simplify:

3x + 6 =12

Subtract 6 from both sides:

3x + 6 -6 = 12 -6

Simplify:

3x = 6

Divide both sides by 3:

3x÷3 = 6÷3

Simplify:

x = 2

Answer:

(2, 3 ) by the elimination method

Step-by-step explanation:

6x - 5y = - 3 → (1)

3x + 2y = 12 → (2)

multiplying (2) by - 2 and adding to (1) will eliminate x

- 6x - 4y = - 24 → (3)

add (1) and (3) term by term to eliminate x

0 - 9y = - 27

- 9y = - 27 ( divide both sides by - 9 )

y = 3

substitute y = 3 into either of the 2 equations and solve for x

substituting into (2)

3x + 2(3) = 12

3x + 6 = 12 ( subtract 6 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

solution is (2, 3 )

Answer:

D

Step-by-step explanation:

Answer:

29/25 because it's 1.16, which is smaller than 1.3 (13/10), 1.2 (6/5), and 1.25 (5/4)

Step-by-step explanation:

13/10 is 1.3

6/5 is 1.2

5/4 is 1.25

29/25 is 1.16

It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.

Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40

Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60

Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60

The amount of swimming pool filled in 1 minute = (60 - 40)/2400

The amount of swimming pool filled in 1 minute = 20/2400

The amount of swimming pool filled in 1 minute = 1/120

Total time taken to fill swimming pool = 1 ÷ (1/120)

Total time taken to fill swimming pool = 120 minutes

Thus, 120 minutes are required.

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Answer: x = 10

Step-by-step explanation: 7x10 = 70

Answer:

x= 10

Step-by-step explanation:

70 divided by 7= 10

x=10

bc 10 x 7 = 70

Answer: dimensions of the two rectangles are 6x4 and 6x2

Answer:

MY BAD ITS B ITS B

Step-by-step explanation:

graphed it

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:

4/11

Step-by-step explanation:

The chance of getting the sum of any number(2 thought 12) is 1/11

so

9 = 1/11

10 = 1/11

11 = 1/11

12 = 1/11

so, 4/11

Answer:

Alan: 110 lb.

Brady: 140 lb.

Charles: 160 lb.

Damien: 120 lb.

Step-by-step explanation:

For a 3×3 matrix A, with the real eigenvalue is 2 and two complex conjugate eigenvalues, the complex conjugate eigenvalues of matrix A are equal to 1 ± i.

Eigenvalues are defined as a special set of scalar points that is associated with set of linear equations and matrix equations. We have a matrix A of order 3×3. It has real and complex eigenvalues. As we know number of eigenvalues for 3×3 matrix are 3. The real eigenvalue, λ

= 2

Number of complex eigenvalues= 2

Also, the determinant of matrix A, det(A) = 50

Trace of matrix A, tr(A) = 8

We have to determine the complex eigenvalues.

The characteristic polynomial for 3×3 is written as below, f( λ )= det(A − λI3 )= −λ³ + 4λ² - 6 λ + 4.

For eigenvalues, −λ³ + 4λ² - 6 λ + 4 = 0

Now, one of eigenvalue of matrix is 2, λ = 2. Using the synthesis division, for calculating the remaining, follow the steps present in above figure. In the last step of division we get a quadratic equation, -λ² + 2λ - 2 = 0, solve it by quadratic formula, \(λ = \frac{-2 ± \sqrt{ 2² - 4 (-2)(-1)}}{2(-1)}\)

\(= \frac{-2 ± \sqrt{4 - 8 }}{-2}\)

=> λ = 1 ± i

Hence, required values are 1 ± i.

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