2) Kelly had a picnic each year to celebrate her birthday. The 1st year 50 people came. The 2nd year 30 people came. What is the percent of decrease?​

As per the shift-invariant system, the output sequence y[n] has three non-zero samples, namely y[0]=1, y[1]=0, and y[2]=3.

To find the output sequence y[n], we can use the convolution operation, which is a mathematical operation that combines the input sequence and the impulse response to produce the output sequence.

Using this formula, we can compute the output sequence y[n] for all values of n. However, since the input sequence x[n] is non-zero only at n=0 and n=2, and since the impulse response h[n] is non-zero only for n=0, 1, and 2, the output sequence y[n] will be non-zero only for n=0, 1, 2, and 3.

Moreover, since the input sequence x[n] is non-zero only at n=0 and n=2, the only non-zero terms in the convolution sum will be those for which n-k is either 0 or 2. This means that the output sequence y[n] can be written as:

y[0] = x[0]h[0] + x[2]h[-2] = 11 + 10 = 1

y[1] = x[0]h[1] + x[2]h[-1] = 1(-1) + 11 = 0

y[2] = x[0]h[2] + x[2]h[0] = 12 + 11 = 3

y[3] = x[0]*h[3] + x[2]*h[1] = 0 + 0 = 0

To know more about shift-invariant system here

https://brainly.com/question/27834077

#SPJ4

Complete Question:

A discrete time linear shift-invariant system has an impulse response h[n] with h[0] =1, h[1] = -1, h[2] = 2, and zero otherwise. The system is given an input sequence x[n] with x[0] = x[2]=1 and zero otherwise. The number of nonzero samples in the output sequence y[n], and the value of y[2] are, respectively

Step-by-step explanation:

The total number of cars=24

Number of black cars=12

Divide 12 by 24,multiplied by 100%

12÷24 ×100=50%

Therefore, 50% of the cars are black

Answer:

y=7/20x+11/20

Step-by-step explanation:

7x-20y=-11

20y=7x-(-11)

20y=7x+11

y=7/20x+11/20

Answer:

10 potatoes

Step-by-step explanation:

because if 1kg has 5 then 2kg will be double the amount.

hope this helps:>

a. The median number of calls = 55

b. The first and third quartiles, Q1 = 48 and Q3 = 66

c. The first decile and the ninth decile, D1 = 45 and D9 = 71.

d. The 33rd percentile = 52.5

To answer the questions, let's first organize the data in ascending order:

38 40 41 45 48 48 50 50 51 51 52 52 53 54 55 55 55 56 56 57 59 59 59 62 62 62 63 64 65 66 66 67 67 69 69 71 77 78 79 79

(a) The median is the middle value of a dataset when arranged in ascending order.

Since we have 40 observations, the median is the value at the 20th position.

In this case, the median is the 55th visit.

(b) The quartiles divide the data into four equal parts.

To find the first quartile (Q1), we need to locate the position of the 25th percentile, which is 40 * (25/100) = 10.

The first quartile is the value at the 10th position, which is 48.

To find the third quartile (Q3), we need to locate the position of the 75th percentile, which is 40 * (75/100) = 30.

The third quartile is the value at the 30th position, which is 66.

Therefore, Q1 = 48 and Q3 = 66.

(c) The deciles divide the data into ten equal parts.

To find the first decile (D1), we need to locate the position of the 10th percentile, which is 40 * (10/100) = 4.

The first decile is the value at the 4th position, which is 45.

To find the ninth decile (D9), we need to locate the position of the 90th percentile, which is 40 * (90/100) = 36.

The ninth decile is the value at the 36th position, which is 71.

Therefore, D1 = 45 and D9 = 71.

(d) To find the 33rd percentile, we need to locate the position of the 33rd percentile, which is 40 * (33/100) = 13.2 (rounded to 13). The 33rd percentile is the value at the 13th position.

Since the value at the 13th position is between 52 and 53, we can calculate the percentile using interpolation:

Lower value: 52

Upper value: 53

Position: 13

Percentage: (13 - 12) / (13 - 12 + 1) = 1 / 2 = 0.5

33rd percentile = Lower value + (Percentage * (Upper value - Lower value))

                = 52 + (0.5 * (53 - 52))

                = 52.5

Therefore, the 33rd percentile is 52.5.

To know more about median refer here:

https://brainly.com/question/11237736#

#SPJ11

Answer:

The answer is 197cm²

Step-by-step explanation:

Area of shape =Area of semi circle +Area of rectangle

A=1/2pir²+L×B

A=1/2×3.14×10²+10×4

A=157+40

A=197cm²

Answer:

10(4) + (1/2)π(5^2)

= 40 + (25/2)π cm^2

= about 79.27 cm^2

If we use 3.14 for π:

40 + (1/2)(3.14)(5^2)

= 40 + 39.25 = about 79.25 cm^2

Answer:

Option C.

Step-by-step explanation:

If you see it says the frequency of black is 5, and there is 6 people. So if you do your math correctly it will equal 12.5%. Hope this helps!

The expected value for the number of happy blue marbles is 50.

To find the expected value for the number of happy blue marbles, we can use the concept of linearity of expectation.

Consider a blue marble in the circle.

The probability that it has at least one red neighbor depends on the arrangement of the marbles around it.

Let's analyze the probability for a single blue marble to have at least one red neighbor.

There are two cases to consider:

Case 1: The blue marble is surrounded by two blue marbles on both sides.

In this case, the blue marble does not have any red neighbors.

The probability of this case is \((50/100) \times (49/99) = (1/2) \times (49/99) = 49/198.\)

Case 2: The blue marble is surrounded by at least one red marble.

In this case, the blue marble has at least one red neighbor.

The probability of this case is 1 - 49/198 = 149/198.

Since the arrangement of marbles around each blue marble is independent, the probability for a blue marble to be happy is the sum of the probabilities of the two cases: (49/198) + (149/198) = 198/198 = 1.

Therefore, for each blue marble in the circle, the probability of being happy is 1.

Since there are 50 blue marbles in total, the expected value for the number of happy blue marbles is 50 \(\times\) 1 = 50.

For similar question on probability.

https://brainly.com/question/25870256  

#SPJ8

When the t-value increases, c) The p-value decreases.

The p-value is a measure of the strength of evidence against the null hypothesis. A lower p-value indicates stronger evidence against the null hypothesis and suggests that the alternative hypothesis may be more likely. As the t-value increases, it means that the observed data is further away from the null hypothesis expectation, resulting in a smaller p-value.

The other options listed in your question are not directly related to changes in the t-value:

a) Retaining or rejecting the null hypothesis is determined based on the significance level and the p-value, not solely on changes in the t-value.

b) The decision to retain or reject the alternative hypothesis is not based on changes in the t-value but rather on the strength of evidence against the null hypothesis.

d) The level of significance is predetermined and does not change based on the t-value.

Therefore, the correct answer is that when the t-value increases, the p-value decreases.

To learn more about p-value here:

https://brainly.com/question/32264554

#SPJ4

Step-by-step explanation:

Answer:

23 and 15

Step-by-step explanation:

Create a system of equations where x is the greater number, and y is the smaller number.

x + y = 38

x = y + 8

Solve by substitution, by substituting the second equation into the first one, then solving for y:

x + y = 38

(y + 8) + y = 38

Add like terms and solve for y:

2y + 8 = 38

2y = 30

y = 15

Add 8 to this, to find the greater number:

15 + 8

= 23

So, the numbers are 23 and 15.

The difference between the expected total time for the trip (waiting and travel) for the first roommate and the second roommate is 0 hours.

To calculate the expected total time for the trip (waiting and travel) for both roommates, we need to find the waiting time and travel time for each roommate.
Step 1: Calculate the arrival rates of local and express buses.
There are 20 buses arriving per hour, with 75% local and 25% express. Thus,
Local bus arrival rate: 20 * 0.75 = 15 buses per hour
Express bus arrival rate: 20 * 0.25 = 5 buses per hour
Step 2: Calculate the waiting time for each roommate.
The waiting time for buses is the inverse of the arrival rate.
First roommate waiting time (first bus): 1 / 20 = 0.05 hours
Second roommate waiting time (first express bus): 1 / 5 = 0.2 hours
Step 3: Calculate the expected travel time for each roommate.
First roommate travel time: 0.75 * 28 + 0.25 * 16 = 21 + 4 = 25 minutes (0.4167 hours)
Second roommate travel time: 16 minutes (0.2667 hours)
Step 4: Calculate the expected total time for the trip for each roommate.
First roommate total time: Waiting time + Travel time = 0.05 + 0.4167 = 0.4667 hours
Second roommate total time: Waiting time + Travel time = 0.2 + 0.2667 = 0.4667 hours
Step 5: Find the difference between the expected total time for both roommates.
Difference = First roommate total time - Second roommate total time = 0.4667 - 0.4667 = 0 hours.

For similar question on expected.

https://brainly.com/question/30398129

#SPJ11

To find the PMF for X(T), we first find the conditional distribution of X(t) given T = t, which is a Poisson distribution with parameter λt. Then, we multiply this conditional distribution by the density function of T, which is μe^(-μt), and integrate over all possible values of t.

The probability mass function (PMF) for X(T), where Xt is a Poisson process with parameter λ and T is exponentially distributed with parameter μ, can be expressed in two steps. First, we need to find the conditional probability distribution of X(t) given T = t for any fixed t. This distribution will be a Poisson distribution with parameter λt. Second, we need to find the distribution of T. Since T is exponentially distributed with parameter μ, its probability density function is fT(t) = μe^(-μt) for t ≥ 0. To find the PMF for X(T), we can multiply the conditional distribution of X(t) given T = t by the density function of T, and integrate over all possible values of t. This will give us the PMF for X(T).

Now, let's explain the answer in more detail. Given that T = t, the number of events in the time interval [0, t] follows a Poisson distribution with parameter λt. This is because the Poisson process has a constant rate of λ events per unit time, and in the interval [0, t], we expect on average λt events to occur.

To obtain the PMF for X(T), we need to consider the distribution of T as well. Since T is exponentially distributed with parameter μ, its probability density function is fT(t) = μe^(-μt) for t ≥ 0.

To find the PMF for X(T), we multiply the conditional distribution of X(t) given T = t, which is a Poisson distribution with parameter λt, by the density function of T, and integrate over all possible values of t. This integration accounts for the uncertainty in the value of T.

The resulting PMF for X(T) will depend on the specific form of the density function fT(t), and the Poisson parameter λ. By performing the integration, we can derive the expression for the PMF of X(T) in terms of λ and μ.

Learn more about Poisson distribution here:

https://brainly.com/question/30388228

#SPJ11

Answer: C: p - 3g

Step-by-step explanation:

It is correct.

The fully factored form of 2x^2 + 10x - 12, both through grouping and factoring out the GCF, is 2(x + 6)(x - 1).

To find the greatest common factor (GCF) of the expression 2x^2 + 10x - 12, we need to identify the largest common factor among all the coefficients and variables. In this case, the GCF is 2.

To rewrite the expression with four terms, we can factor out the GCF from the first two terms and the last two terms. Here's the breakdown:

2x^2 + 10x - 12

First, let's factor out the GCF, which is 2:

2(x^2 + 5x - 6)

Now we have the expression written with four terms: 2x^2 + 10x - 12 becomes 2(x^2 + 5x - 6).

To factor the expression further using the method of grouping, we need to find two numbers that multiply to -6 and add up to 5 (the coefficient of the middle term, 5x).

The numbers that satisfy these conditions are 6 and -1 since 6 * (-1) = -6 and 6 + (-1) = 5.

We can now rewrite the middle term (5x) as the sum of these two numbers:

2(x^2 + 6x - x - 6)

Now we can group the terms:

2[(x^2 + 6x) + (-x - 6)]

Next, we factor out the common factors from each group:

2[x(x + 6) - 1(x + 6)]

Notice that both terms in the brackets have a common factor, which is (x + 6). We can factor it out:

2(x + 6)(x - 1)

For more such questions on factoring,click on

https://brainly.com/question/25829061

#SPJ8

The statements for the function f( x) = 3x ²- 5 are

f( 5)< 1( false)

f( 0) = 1( false)

Statements for the function f(x) = 3x ²- 5

To find the true or false statement we have to substitute the value for x

First, x= 3

f(x) = 3x ²- 5

f(3)= 3( 5)²- 5

f(3) = 75- 5

f(3)= 70.

Thus, the statement" f( 5)< 1" is false.

Now, at x =0

f(x) = 3x ²- 5

f(0) = 3( 0)²- 5

f(0)= 0- 5

f(0)= -5.

Thus, the statement" f( 0) = 1" is false.

Learn more about Function here:

https://brainly.com/question/30721594

#SPJ1

Answer:

$10750

275n+350d

hope this helps!!

Answer:

notebook computer= $5500

desktop computer= $5250

notebook and desktop computer= $10750

Step-by-step explanation:

First of all, we multiply $275 by 20 which would give you 5500. Next, we multiply 350 by 15 which gives you 5250. now to add the total number of notebook and desktop computers, we add them both, which results to 10750.

Answer:

15.14%

Step-by-step explanation:

The formula for APR is stated thus:

APR=fees+interest/principal/n*365*100

principal is the loan amount of $700

fees is the processing fees on the loan which is $50

interest amount=principal*interest %=$700*8%=$56

n is the number of days of the loan which is a year i.e 365 days

APR=($50+$56)/$700/365*365*100

APR=$106/$700/365*365*100

APR=0.151428571 /365*365*100

APR=0.151428571 *100=15.14%

The annual percentage rate on the loan is 15.14% which represents the actual cost on the loan not just the interest cost of 8% annually

Answer:

25

Step-by-step explanation:

So find the number that is a perfect square and 2 times the square root = 10

The number is 25.

Check:

\((x+5)^2=x^2+10x+25\)

Answer:

The answer is 25.

Step-by-step explanation:

25 is a perfect square of 5. When x are added together, they form 10x.

\( {(x + 5)}^{2} \)

\( {x}^{2} + 2(x)(5) + {5}^{2} \)

\( {x}^{2} + 10x + 25\)

Answer:

2. 55

3. 125

4. 125

Step-by-step explanation:

Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ2

Answer:

A is correct

Step-by-step explanation:

:D

Answer:

yes its A. Avogadros number

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x⁵ + 3x²- 2 → Quintic trinomial

12x → Linear monomial

7x³ -1 → Cubic binomial

3 - 4x → Linear binomial

4x - 5x³ + 1 → Cubic trinomial

2x²(x³ - 1) = 2x⁵ - 2x² → Quintic binomial

x²(4x - 1 + x²) = 4x³ - x² + x⁴ → Quartic trinomial

(x - 2)(x + 3) = x² + x - 6 → Quadratic trinomial

(x² - 1)(x² + 1) = x⁴ - 1 → Quartic binomial

Answer:

no because outlier is the odd number out

Answer:360

Step-by-step explanation:

Answer:

it is 360 degrees

Step-by-step explanation:

The power rule of differentiation to differentiate 5t², the sum rule of differentiation to differentiate 2t and the derivative of a constant rule  The chain rule, we have:df/dt=df/dz × dz/dt=26(10t+2)=260t+52.

1: Differentiation of z.The function z is given by z=5t²+2t+6. Now, we need to find the derivative of z with respect to t.dz/dt is the derivative of z with respect to t.

To find dz/dt, we differentiate each term in z with respect to t separately. We use the power rule of differentiation to differentiate 5t², the sum rule of differentiation to differentiate 2t and the derivative of a constant rule to differentiate 6.∴ dz/dt=10t+2We now have the value of dz/dt.

2: Differentiation of f(z)The function f(z) is given by f(z)=26z+13. Now, we need to find the derivative of f(z) with respect to t.df/dt is the derivative of f(z) with respect to t.

We need to differentiate f(z) with respect to z first. Since f(z) is a linear function of z, the derivative of f(z) with respect to z is simply the coefficient of z, which is 26.

Now, we differentiate z with respect to t to get dz/dt. We have dz/dt from  1.

So, by the chain rule, we have: df/dt=df/dz × dz/dt=26(10t+2)=260t+52.

Learn more about chain rule here:

https://brainly.com/question/31585086

#SPJ11

U = 3/46 is reciprocal of the solution of equation .

What is reciprocal in math?

-23 = -3/2 u

-1/23 = -2/3u

cross multiply

-3 = -46 u

u = -3/-46

u = 3/46

Learn more about reciprocal

brainly.com/question/18634761

#SPJ9

By using the property of vertically opposite angles the value x= 4 and the angle z = 78°

Vertical opposite angles are angles made at the intersection of two lines, these are non adjacent angles that are opposite to each other.

Vertical opposite angles are equal to each other.

In the given figure (5x + 82)° and (11x + 58)° are vertically opposite angles.

(5x + 82)° = (11x + 58)°

5x + 82 = 11 x + 58

82- 58 = 11x - 5x

24 = 6x

x = 24 /6 = 4

Then (5x+82) = (5(4) +82)= 102

(5x + 82)° and z° both are angles on same line therefore their sum will be 180°

(5x+82) +z =180

102+z=180

z= 180-102 = 78

Therefore, the value x= 4 and the angle z = 78°.

Also, Learn more about vertically opposite angles from:

https://brainly.com/question/18045519

#SPJ1