find each of these values. a) (−133 mod 23 261 mod 23) mod 23 b) (457 mod 23 ⋅ 182 mod 23) mod 23

Answer:Flying potatox x plus y yes

Step-by-step explanation:

Answer:

the answer is 1/4 if the question is a fraction

The time at which the system fails, denoted by X, is the minimum of the lifetimes of the five components.

In this system, each component has a lifetime that follows an exponential distribution with a parameter λ = 0.01. The exponential distribution is commonly used to model the time until an event occurs in a system with a constant failure rate.

The probability that a component lasts at least t hours is given by P(Ai) = e^(-λt), where Ai is the event that the ith component lasts at least t hours.

Since the components fail independently of one another, the probability that all five components last at least t hours is the product of their individual probabilities: P(A1 ∩ A2 ∩ A3 ∩ A4 ∩ A5) = e^(-λt)^5 = e^(-5λt).

Now, let X be the time at which the system fails, which is the minimum of the lifetimes of the five components. Since X is the minimum, we can write X = min(T1, T2, T3, T4, T5), where Ti represents the lifetime of the ith component.

The probability distribution of X can be obtained by considering the complement event. The complement of X > t is that all five components last at least t hours, which is P(X > t) = P(A1 ∩ A2 ∩ A3 ∩ A4 ∩ A5) = e^(-5λt).

Therefore, the time at which the system fails, X, follows an exponential distribution with a parameter of 5λ = 0.05. This means that the system has a constant failure rate of 0.05 and the probability density function (pdf) of X is given by f(x) = 0.05 * e^(-0.05x).

Visit here to learn more about probability:

brainly.com/question/31828911

#SPJ11

The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

To learn more on triangle click:

brainly.com/question/29126067

#SPJ1

ANSWER :

The answer is B. y = (x + 4)^2 + 9

EXPLANATION :

From the problem, we have :

Group the terms in which the constant term and the terms with variables are separated.

add and subtract a variable m to the parenthesis to maintain equivalency.

Calculate the value of m using b^2/4a^2 with a = 1 and b = 8

Then :

The first parenthesis will be a perfect square trinomial.

Factor and simplify :

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side c

Using Pythagoras theorem we have

c² = b² + a²

where

c is the hypotenuse

So we have

\( {c}^{2} = {5}^{2} + {3}^{2} \\ c = \sqrt{ {5}^{2} + {3}^{2} } \\ c = \sqrt{ 25 + 9} \\ c = \sqrt{34} \: \: \: \: \: \: \: \: \\ = 5.83095189...\)

We have the final answer as

Hope this helps you

Currency such as dollars can come in various forms such as dimes, quarters, pennies, and nickels.

The number of quarter coins is 12 and the number of dollar coins is 14 coins.

Let's represent:

The number of 1 dollar coin = d

The number of 1 quarter coin = q

The twenty-six coins in my pocket are all dollar coins and quarters. The algebraic equation for this statement above is =

d + q = 26 ........ Equation 1

Making d the subject of the formula

d = 26 - q

1 dollar coin = $1

1 quarter = $0.25

The value of the dollar and nickel coins is seventeen dollars. The algebraic expression for this statement is :

$1 x d + $0.25 x q = 17

d + 0.25q = 17.................Equation 2

Substitute 26 - q for d in Equation 2

26 - q + 0.25q = 17

Collecting like terms

26 - 17 = q - 0.25q

9 = 0.75q

Divide both sides by 0.75

9/0.75 = 0.75q/0.75

q = 12 coins

Solving for number of dollar coins

d = 26 - q

q = 12

d = 26 - 12

d = 14 coins

Therefore, the number of quarter coins is 12 and the number of dollar coins is 14 coins.

To learn more, visit the link below:

brainly.com/question/22799498

385 Sample size is necessary is the 95% confidence Interval for p .

Sample Size:

Sample size is defined as the number of observations used to determine estimates for a given population. Sample size was drawn from the population. Sampling is the process of selecting a subset of individuals from a population to estimate characteristics of the population as a whole. The number of entities within a subset of the population is selected for analysis

According to the Question:

The Necessary Sample Size is calculated as follows:

Necessary Sample Size =

(Z-score)² * Std Dev*(1-StdDev) / (margin of error)²

For example, given a 95% confidence level, 0.5 standard deviation, and a margin of error (confidence interval) of +/- 5%. Necessary Sample Size =

= (1.96)² x 0.5(0.5)) / (0.05)²

= (3.8416 x 0.25) / .0025

= 0.9604 / 0.0025

= 384.16

So in order to get 95% confidence level, with confidence interval of +/- 5%, and standard deviation of 0.5, I have to survey 385 samples.

Learn more about sample size:

https://brainly.com/question/13450072

#SPJ4

Answer:

b = -3

Step-by-step explanation:

1. Rearrange Terms

-3(3 + 6b) = 36 - 3b

-3(6b + 3) = 36 - 3b

2. Distribute

-3(6b + 3) = 36 - 3b

-18b - 9  = 36 - 3b

3. Rearrange Terms

-18b - 9  = 36 - 3b

-18b - 9 = -3b + 36

4. Add 9 to both sides

-18b - 9 = -3b + 36

-18b - 9 + 9 = -3b + 36 + 9

5. Simplify

-18b - 9 + 9 = -3b + 36 + 9

-18b = -3b + 45

6. Add 3b to both sides

-18b = -3b + 45

-18b +3b = -3b + 45 + 3b

7. Simplify

-15b = 45

8. Divide both sides by the same factor

-15b = 45

\(\frac{-15b}{-15}\) = \(\frac{45}{-15}\)

9. Simplify

b = -3

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

WWWWWW

Step-by-step explanation:

Answer:

the answer would be 20

Step-by-step explanation:

so if 18-(-2)=?

two nwgatives make a positive. So the equation would turn into 18+2=20

Im not 100% if this is right but htis is how I was taught to do it.

Answer:

The slope is 10 (y =10x +15)

Step-by-step explanation:

When using two coordinates to find the slope of a linear function, I choose (-2,-5) and (2,35) *but you can choose any two.

The formula for finding the slope is y-y divided by x-x.

so... (35)-(-5)=40        NOTE: I did 35 minus -5 but you can also do -5 minus 35.

2-(-2)=4                           But just remember to do it the same order for

                                    subtracting the x coordinates.

40/4=10

The position of the mass in the undamped spring-mass system can be represented by the equation u(t) = (A cos(ωt) + B sin(ωt)) / k. Therefore, position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

In this case, the external force acting on the system is 108 cos(4t) lb. To determine the position of the mass, we need to solve the differential equation that represents the motion of the system.

Using Newton's second law, F = ma, and considering that the mass m = 24 lb, the equation becomes:

24 * d^2u/dt^2 = 108 cos(4t)

Simplifying, we have:

d^2u/dt^2 = 4.5 cos(4t)

This is a second-order linear homogeneous differential equation with a constant coefficient. The solution to this equation will be a linear combination of the homogeneous and particular solutions.

The homogeneous solution, representing the free oscillation of the system, is u_h(t) = C1 cos(2t) + C2 sin(2t).

The particular solution, representing the forced motion caused by the external force, can be assumed in the form u_p(t) = A cos(4t) + B sin(4t).

By substituting u_p(t) into the differential equation, we can determine the values of A and B.

Solving the differential equation for the particular solution, we find:

A = 18 and B = 0

The complete solution for the position of the mass in feet is:

u(t) = (18 cos(4t)) / 4

Simplifying further, we get:

u(t) = 4.5 cos(4t)

Therefore, the position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

To learn more about mass click here, brainly.com/question/30940568

#SPJ11

Answer: Is it 30?

Step-by-step explanation: I'm not sure what the answer is, as the way everything is set up and the context is minimal so I put the numbers and the Express cach in lowest terms, So I divided 60 by 2 to get the lowest term which would be 30.

Answer:

We'll start with the left-hand side of the identity:

sec^2(a)sec^2(b) + tan^2(b)cos^2(a)

We can rewrite sec^2(a) as 1/cos^2(a) and sec^2(b) as 1/cos^2(b):

1/cos^2(a) * 1/cos^2(b) + tan^2(b)cos^2(a)

Multiplying the first term by cos^2(a)cos^2(b) gives:

cos^2(a)cos^2(b)/cos^2(a)cos^2(b) + tan^2(b)cos^2(a)

Simplifying the first term gives:

1 + tan^2(b)cos^2(a)

Using the identity tan^2(x) + 1 = sec^2(x), we can rewrite tan^2(b) as sec^2(b) - 1:

1 + (sec^2(b) - 1)cos^2(a)

Simplifying gives:

cos^2(a) + cos^2(a)sec^2(b)

Using the identity 1 + tan^2(x) = sec^2(x), we can rewrite sec^2(b) as 1 + tan^2(b):

cos^2(a) + cos^2(a)(1 + tan^2(b))

Simplifying gives:

cos^2(a) + cos^2(a)tan^2(b) + cos^2(a)

Using the identity sin^2(x) + cos^2(x) = 1, we can rewrite cos^2(a) as 1 - sin^2(a):

1 - sin^2(a) + (1 - sin^2(a))tan^2(b) + 1 - sin^2(a)

Simplifying gives:

2 - 2sin^2(a) + (1 - sin^2(a))tan^2(b)

Using the identity tan^2(x) + 1 = sec^2(x), we can rewrite tan^2(b) as sec^2(b) - 1:

2 - 2sin^2(a) + (1 - sin^2(a))(sec^2(b) - 1)

Simplifying gives:

2 - 2sin^2(a) + sec^2(b) - sin^2(a)sec^2(b) - 1 + sin^2(a)

Combining like terms

After simplifying, we have:

1 + cos^2(a)tan^2(b) = 1 + tan^2(b)

This is equivalent to the right-hand side of the identity, so we have proven the identity.

A trapezoid has vertices located at the points: A(-2.3, 5), B(4.8,5), C(4.8, "-2.2)" , D(-2.3, 3.3). The length of AB is 7.1 units.

To find the length of AB of the trapezoid with vertices A(-2.3, 5), B(4.8, 5), C(4.8, -2.2), and D(-2.3, 3.3), we can use the distance formula. The distance formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points, and d is the distance between them.

For the line segment AB, we have (x1, y1) = (-2.3, 5) and (x2, y2) = (4.8, 5). Substituting these values into the distance formula, we get:

d = √((4.8 - (-2.3))^2 + (5 - 5)^2)

= √(7.1^2 + 0^2)

= √50.41

= 7.1

Therefore, the length of AB is 7.1 units.

Learn more about trapezoid here

https://brainly.com/question/1410008

#SPJ11

Answer:   .8

Step-by-step explanation:

\(\frac{16}{20}\)            >reduce the fraction first by dividing the top and the bottome by 4

                so it is easier to divide

=\(\frac{4}{5}\)           >now divide 4 by 5

> 4 cannot go into 5 so you would place a decimal point after the 4 and add a 0

>4.0   divided by 5 is .8

=.8

you get a decimal which is less than 1 because you only have 4/5 which is less than 1 whole so you only get a portion as a decimal.

Long division is the universal way, but it can also be approached differently.

We know that \(20\cdot5=100\), therefore \(\dfrac{16}{20}=\dfrac{16\cdot5}{20\cdot5}=\dfrac{80}{100}=\dfrac{8}{10}=0.8\).

Or simplify \(\dfrac{16}{20}\) first: \(\dfrac{16}{20}=\dfrac{4}{5}\). Then using the same logic as above - \(5\cdot2=10\), therefore we \(\dfrac{4}{5}=\dfrac{4\cdot2}{5\cdot2}=\dfrac{8}{10}=0.8\).

Answer: x+5/21532020

Step-by-step explanation:

This question simply implies that if we need to know the chances of getting the  chance value it would be 21532030 times smaller for the x+5.

The given statement exists true. A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization).

A matrix can be expressed as the union of two distinct matrices, Q and R, using the QR matrix decomposition. R is a square upper/right triangular matrix and Q is an orthogonal matrix. R is also invertible because it is square and doesn't have zeros in its diagonal entries.

A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization). Finding eigenvalues and solving linear least squares problems both use QR factorization.

A = QR. Be aware that the QR-factorization of a rectangular matrix A is sometimes understood with Q square and R rectangular rather than Q rectangular and R square, as with the MATLAB command qr.

To learn more about QR factorization refer to:

https://brainly.com/question/22767840

#SPJ4

The value of the test statistic is 9.81

The null hypothesis in this study is that the proportion of medical malpractice lawsuits that are dropped or dismissed is equal to or less than 0.5.

We will use a significance level of 0.05, which means that we are willing to accept a 5% chance of making a Type I error (rejecting the null hypothesis when it is actually true).

To test this claim, we can use a one-sample proportion test. The test statistic for a one-sample proportion test is calculated as:

z = (p - P0) / √( P0*(1 - P0) / n )

where p is the sample proportion, P0 is the hypothesized proportion under the null hypothesis, and n is the sample size.

In this case, the sample proportion is 507/779 = 0.651, and the hypothesized proportion under the null hypothesis is 0.5. Therefore, we can calculate the test statistic as:

z = (0.651 - 0.5) / √( 0.5*(1 - 0.5) / 779 ) = 9.81

This test statistic tells us how many standard errors the sample proportion is away from the hypothesized proportion under the null hypothesis. In this case, the sample proportion is almost 10 standard errors away from the hypothesized proportion of 0.5, which indicates strong evidence against the null hypothesis.

To know more about test statistic here

https://brainly.com/question/14128303

#SPJ4

Complete Question:

In a study of 779 randomly selected medical malpractice lawsuits, it was found that 507 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. What is the test statistic?

The coefficient of variation for the given data is 111.8%, so the answer is Option C.

The coefficient of variation (CV) is a measure of relative variability, which is calculated as the standard deviation divided by the mean, expressed as a percentage. In this case, the mean of the data is (1+1+1+1+6)/5 = 2, and the standard deviation is 2.28. Therefore, the CV = (2.28/2) x 100% = 111.8%.

The CV is useful for assessing the variability of distinct datasets, particularly when their means differ. In this situation, the CV shows that the data has a significant degree of relative variability, which suggests that the mean may not be a suitable representation of the data. It also implies that the outlier value of 6 has a major influence on the data's variability.

Therefore, Option C is the correct answer to the above question.

To learn more about the coefficient of variation, visit:

https://brainly.com/question/30783938

#SPJ11

Answer:

the answer is x=9

Step-by-step explanation:

Step-by-step explanation:

the answer was x=9 wish you luck on your homework and tests

Step-by-step explanation:

Find out the expressions for the number of sweets sue and tony have now .

To proof

As given

Sue has 18 sweets. tony has 18 sweets.sue gives tony x sweets

thus

sue sweets = 18 - x

Tony sweets = 18 + x

As given

Sue then eats 5 sweets. Tony then eats half of his sweets

sue sweets becomes = 18 -5 -x

= 13 - x

Tony sweets become= 18 + x /2

= 9+ x/2

hence proved.

Hence proved

Answer:

8.7%

Step-by-step explanation:

Divition then Multiply

Answer: 8.7%

Step-by-step explanation:

You have to divide then multiply

Step-by-step explanation:

it is 55 cause if there were 200 tha. 155 were dead so only 55 lestf

The two sides of a right triangle opposite the non-right angles are called as adjacent and opposite angle or Legs.

A triangle is a three-sided regular polygon in which the total of any two sides is always larger than the sum of the third side.

A right-angled triangle is one with one of its internal angles equal to 90 degrees, or any angle is a right angle. As a result, this triangle is also known as the right triangle or the 90-degree triangle. In trigonometry, the correct triangle is very significant.

A right-angled triangle is a triangle in which one of the angles is 90 degrees. The total of the other two angles is 90 degrees. The sides that include the right angle are perpendicular and form the triangle's base. The third side is known as the hypotenuse, and it is the longest of the three sides.

The three sides of the right triangle are connected. Pythagoras' theorem explains this relationship. This theorem states that in a right triangle,

Perpendicular² + Base² = Hypotenuse²

Learn more about Right angle triangle:

https://brainly.com/question/64787

#SPJ4

okay so for the first one it's 3b-16

but when you see b=8 you would rewrite it as 3×8- 16 and once you do that you should have the answers you do the same thing for the rest of them :)