A car travels at a rate of 65 miles per hour. At this rate, how long would it take to travel 1,300 miles?

The amount on N800 for 1 year found by finding the sum of the interest on the amount and the principal amount is N880.

The correct option is option D;

D. N880

An interest rate is the percentage an amount which is added to the amount per each specified period.

The amount on 800 for 1 year and 10%, can be found using the simple interest or compound interest formulas as follows;

Simple interest amount, A = P + P·R·T ÷ 100

Where;

P = The principal amount = N800

R = The interest rate per period = 10%

T = The time = 1 year

Therefore; A = 800 + 800 × 10 × 1 ÷ 100 = N880

Compound interest amount = P·\((1 + r/n)^{n\cdot T}\)

Where;

r = R/100

n = The number of periods per unit duration T = 1

Therefore; Compound interest amount = 800 × (1 + 10/100)¹ = N880

Therefore, the amount on N800 for 1 year is N880

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Answer:

Linear

Step-by-step explanation:

We can see if it is by graphing. See attached. The function is linear because it is a straight line and is a one-to-one function.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

A distribution in which all the values have the same frequency is called a rectangular distribution. This type of distribution is also known as a uniform distribution ,

because the probability of any given value occurring is equal to every other value in the distribution. Rectangular distributions can be represented graphically by a flat, straight line that runs across the entire range of values, indicating that each value has an equal chance of occurring.

This type of distribution is commonly used in probability and statistics, as well as in financial analysis and risk management. While rectangular distributions are relatively simple and easy to understand, they may not always accurately reflect the true nature of a dataset, particularly if there is a significant amount of variation or outliers.

It is important to note that bimodal and standard distributions have different properties and are not the correct terms for this scenario. Bimodal refers to a distribution with two distinct peaks, while standard distribution typically refers to a normal distribution with a mean of 0 and a standard deviation of 1.

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The signal x; is a discrete signal with N samples and taking values x(n) = &**/N for n = 0,1,...,N-1. The signal Xt is the discrete Fourier transform of x; and is given by:

Xt(k) = Σn=0N-1 x(n) exp(-i2πnk/N)

This means that the Fourier transform of x(n) gives us a set of coefficients, Xt(k), that represent the contribution of each frequency, k, to the original signal x(n). In other words, the relationship between the signals x; and Xt is that Xt is a frequency-domain representation of x;.

The relationship between x and x ¢ is that x ¢ is the complex conjugate of x. This means that if x(n) = a + bi, then x ¢(n) = a - bi. In terms of the Fourier transform, this means that if X(k) is the Fourier transform of x(n), then X ¢(k) is the complex conjugate of X(k). Mathematically, this can be expressed as:

X ¢(k) = Σn=0N-1 x(n) exp(i2πnk/N)

So, the relationship between x and x ¢ is that they are complex conjugates of each other, and the relationship between their Fourier transforms, X(k) and X ¢(k), is that they are also complex conjugates of each other.
Hi! I understand that you want to know the relationship between signals x and x_t, as well as x and x', given a parameter k and a discrete signal x of duration N with values x(n) = &**/N for n = 0, 1, ..., N-1.

1. Relationship between x and x_t:
Assuming x_t is the time-shifted version of the signal x by k units, we can define x_t(n) as the time-shifted signal for each value of n:

x_t(n) = x(n - k)

Mathematically, the relationship between x and x_t is represented by the equation above, which states that x_t(n) is obtained by shifting the values of x(n) by k units in the time domain.

2. Relationship between x and x':
Assuming x' is the derivative of the signal x with respect to time, we can define x'(n) as the difference between consecutive values of x(n):

x'(n) = x(n + 1) - x(n)

Mathematically, the relationship between x and x' is represented by the equation above, which states that x'(n) is the difference between consecutive values of the discrete signal x(n), approximating the derivative of the signal with respect to time.

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The results of given question's parts based on hypothesis testing.

a) Null and Alternative hypothesis

H₀ : p = 0.8

H₀ : p = 0.8 Hₐ : p < 0.8

b) test statistic (z value ) is Z = -2.25.

c) P- value ( Z꜀ ) is - 1.64

d) Rejected the null hypothesis.

We have given that

Sample size, n = 900

Hypothesis population proportion, p₀ = 0.80

Sample proportion , p-hat = 0.77

favourable cases, X = 693

significance level, α = 0.05

a) The following null and alternative hypothesis for population proportion needs to be tested :

H₀ : p = 0.8

Hₐ : p < 0.8

This is corresponding to a left tailed test for a z test for one population will used .

c) we have given that, Significance level is α=0.05 and the critical value for a left tailed test is Z꜀ = - 1.64

so, the rejection region for left tailed test R = { Z Z<- 1.64 }

b) Z- statistic value :

Z = (p-hat - p₀)/√p₀(1-p₀)/n

=> Z = ( 0.77 - 0.8 )/√0.8×0.2/900

=> Z = -2.25

d) Decision about Null hypothesis,

Since, it is observed that Z = - 2.25 < Z꜀ = - 1.645 it is then concluded that the null hypothesis is rejected. Reject the null hypothesis. There is not enough evidence to conclude that the percentage of infants who receive immunization s is less than 80%.

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The mean of the data set is approximately 3.778. And the median is 5, and the mode is also 5.

The mean, median, and mode of the given data set -3, 4, 5, 5, -2, 7, 1, 8, are as follows:

Mean: The mean is the average value of a set of numbers. To find the mean, we sum up all the numbers in the dataset and divide the sum by the total number of values. In this case, the mean is \(\frac{( -3 + 4 + 5 + 5 + -2 + 7 + 1 + 8 + 9 ) }{9} = \frac{34 }{ 9}\) ≈ 3.778.

Median: The median is the middle value when the data set is arranged in ascending or descending order. In this case, the data set arranged in ascending order is -3, -2, 1, 4, 5, 5, 7, 8, 9. Since the data set has an odd number of values, the median is the middle value, which is 5.

Mode: The mode is the value that appears most frequently in the data set. In this case, the mode is 5 because it appears twice, more frequently than any other number in the data set.

To summarize, the mean of the data set is approximately 3.778, the median is 5, and the mode is also 5.

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Answer:

$2.96

Step-by-step explanation:

1.15x = 3.40   x = last year's price.  If there price was exactly the same, I would put 1x, but this year's price is 15% or .15 higher.

1.15x = 3.40  Divide both sides by 1.15 and round to the nearest cent.

x = 2.96

Check:

Last year + 15% (.15)

2.96 + .15(2.96)

2.96 + .44 rounded to the nearest cent

3.40

To calculate the weighted average grade, we need to multiply each grade by its corresponding weight, add up these products, and then divide by the total weight. Let's do this for the student's grades:

Weighted grade for unit tests = 86% x 0.25 = 21.5%

Weighted grade for final test = 85% x 0.4 = 34%

Weighted grade for class project = 90% x 0.15 = 13.5%

Weighted grade for homework submissions = 92% x 0.2 = 18.4%

Total weight = 0.25 + 0.4 + 0.15 + 0.2 = 1

Weighted average grade = (21.5% + 34% + 13.5% + 18.4%) / 1 = 87.4%

Therefore, the student's weighted average grade is 87.4%.

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The range of numbers in the data series that controls the minimum, maximum, and incremental values on the value axis is referred to as the "axis scale" or "axis range."

It determines the span of values displayed on the value axis of a graph or chart. The axis scale is typically set based on the minimum and maximum values present in the data series, and the incremental values (tick marks) are placed at regular intervals within that range.

It represents the span of values that will be displayed on the value axis of a graph or chart. The data range determines the scale and divisions of the axis, allowing the viewer to interpret the data accurately and understand the relative magnitude of the values being presented.

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When two triangles are similar the corresponding sides are always in the same ratio.

If triangle MNP is similar to traingle XYZ, the lengths of MNP needs to be in the same ratio with the corresponding sides of triangle XYZ

Prove each of the given options lengths to find the one that makes the equation above be true:

Pair corresponding sides ordering its lengths from least XY to greatest YZ

First option:

As the ratios are not the same that cannot be the lengths of MNP

Second option:

As the ratios are the same that can be the lengths of MNP

Third option:

As the ratios are not the same that cannot be the lengths of MNP

Fourth option:

As the ratios are not the same that cannot be the lengths of MNP

The number of possible 5-letter passwords using permutations and combinations is 7893600.

To construct a five-letter password with no repetitions and just lowercase letters

Use any letter from A to Z = 26 for the initial letter.

Except for the initial letter for the second letter = 25, Select any letter from A to Z.

Except for the first and second letters, Select any letter from A to Z; the third letter Equals 24.

Except for the first, second, and third letters, Select any letter from A to Z for the fifth letter = 22

Number of potential 5-letter password permutation and combinations = 26 × 25 × 24 × 23 × 22 = 7893600

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Answer:

6 sq. units

Step-by-step explanation:

The area of a triangle is base times height divided by 2.

\(\frac{bh}{2}\)

\(\frac{6 \times 2}{2}\)

\(\frac{12}{2} =6\)

Answer:

D. 6

Step-by-step explanation:

The formula for the area of a triangle is A=1/2bh. In this case, the base is 6 and the height is 2. The work is below:

A=1/2bh

A=1/2(6)(2)

A=1/2(12)

A=6

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

8/17

Step-by-step explanation:

A cosine of an acute angle in a right triangle is equal to the length of the shorter side divided by the length of hypotenuse.

Answer:

f(x+3)=4x+14

Step-by-step explanation:

To solve this problem, plug in x+3 into the function as if it were a numerical value.

f(x+3)=4(x+3)+2

f(x+3)=4x+12+2

f(x+3)=4x+14

Answer:

c. f(x+3)=4x+14

Step-by-step explanation:

collegebridge

The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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Answer:

5 2/3

Step-by-step explanation:

Answer:

135.

A. 5

B. 7

C. 2

D. 15

E. 24

F. 2

143: 15

144: ( A even/odd number)

Explanation:

Did it in a rush cause i gotta do mines. if wrong, I'll try better next time.

Answer:

Five years ago, cheryl was d years old

a. cheryl  is  (d+5) years old

b. Brandon is  two years older than  Cheryl

so bradon = (d+5+2) = d+7 years old

c. sum of their ages now = d+5+d+7 = 2d+12

d. sum of their ages two years from now

= (d+5+2) + (d+7+2) = 2d+16

143.

Age of sarah = 5 years

clayton age = 5+x

according to questiom

5+x= 3*5

5+x = 15

x= 15 -5 = 10 years

144.

age of Adam = d years

age  of Brandon = (d+b)

accordind to question

d+b = 2d

2d-d = b

d = b  years

Answer:

4 cups I believe

Step-by-step explanation:

1. (a) The answer to the given part is 12.56

(b)the answer to the given part 50.24

(c) the answer to the given part153.86

2. (a)the answer to the given part ₋1

(b)the answer to the given part 2

(c) the answer to the given part4

3. (a)the answer to the given part 12

(b) the answer to the given part5

(c) the answer to the given part1

Given,

1. A(r) = πr²

a. A(2) = π(2)²

= π4

= 3.14 ₓ 4

= 12.56

b. A(4)

A(r) = πr²

= π(4)²

= π16

= 50.24

c. A(7)

A(r) = πr²

= π(7)²

=  π(49)

= 153.86

2. s(t) = t² ₋ 2t ₊ 1

a. S(0) = 0² ₋ 2(0) ₋ 1

= ₋1

b. S(3) = 3² ₋ 2(3) ₋ 1

= 9 ₋ 6 ₋ 1

= 2

c. S(₋1) = (₋1)² ₋ 2(₋1) ₊ 1

= 1 ₊ 2 ₊ 1

= 4

3. (a) f(₋3) which means x ≤ ₋1

therefore, f(₋3) = 4 ₋ 3x

= 4 ₋ 3(₋3)

= 4 ₊ 9

= 12

(b) f(0) which means ₋1<x<1

therefore, value of f(0) = 5.

(c) f(2) which means x≥ 1

therefore, value of f(2) = x² ₋ 3

= 2² ₋ 3

= 4 ₋ 3

= 1

hence, we get the desired results.

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Answer:

Step-by-step explanation:

Step one:

given data

the cost of the laptop= $800

initial payment= $200

monthly payment = $60

let the number of months be x

the expression for the situation is the function for the equation of line

y=mx+c

Step two:

the expression for the situation is

800=200+60x

solve for x

800-200=60x

400=60x

divide both sides by 60

x=400/60

x=6.7

Approximately 7 months

Answer:

\( - 8 \times |2 = - 16| \)

An equation shows the number of points available, p, in round n of the game show is p=20·5ⁿ. Therefore, option D is the correct answer.

The given geometric sequence is 20, 100, 500, 2500,...

Here, a=20

Common ratio (r) = 100/20 = 5

The formula to find nth term of the geometric sequence is \(a_n=ar^n\). Where, a = first term of the sequence, r= common ratio and n = number of terms.

Here, aₙ=20·5ⁿ

Therefore, option D is the correct answer.

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Answer:

No solution

Step-by-step explanation:

-2x + 3 + x > -x - 1

-2x + x + x > -1 - 3

0 > -4

There is no solution for this inequality

Based on the fact that Adrian will use 68 ft of fencing, the dimensions of the rectangular rabbit pen can be found to be 17 feet for the width and 51 feet for the length.

The length of the rabbit pen is to be three (3) times as long as the width so we can assume that the width is x feet.

In that case, the formula to find the value of x which is the width is:

x + 3x = 68

4x = 68

x = 68/4

x = 68/4

x = 17 feet

The length of the rectangular rabbit pen is therefore:

= 3x

= 3 x 17

= 51 feet

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The probability that the sample mean would differ from the true mean by less than $40 when a sample of 466 persons is randomly selected is approximately 0.9135 or 91.35%.

To solve this problem, we need to use the formula for the standard error of the mean, which is:

Standard Error = Standard Deviation / Square Root of Sample Size

In this case, the standard error would be:

Standard Error = 505 / Square Root of 466
Standard Error = 23.374

Next, we can use the formula for the z-score, which is:

z = (Sample Mean - True Mean) / Standard Error

If we want to find the probability that the sample mean would differ from the true mean by less than 40 dollars, we need to find the area under the normal curve between z = -1.70 and z = 1.70 (since 40 / 23.374 = 1.70).

We can use a standard normal distribution table or calculator to find that this area is approximately 0.9106.

Therefore, the probability that the sample mean would differ from the true mean by less than 40 dollars if a sample of 466 persons is randomly selected is 0.9106, rounded to four decimal places.

We will use the Central Limit Theorem and the z-score formula.

Given the mean per capita income (µ) is $17,145 per annum, the standard deviation (σ) is $505 per annum, and the sample size (n) is 466. We want to find the probability that the sample mean differs from the true mean by less than $40.

First, we need to calculate the standard error (SE) of the sample mean, which is given by:

SE = σ / √n

SE = 505 / √466 ≈ 23.38

Now, we will find the z-scores for the range of $40 from the true mean:

Lower bound: (17,145 - 40 - 17,145) / 23.38 ≈ -1.71
Upper bound: (17,145 + 40 - 17,145) / 23.38 ≈ 1.71

Finally, we will find the probability by looking up the z-scores in a standard normal table or using a calculator:

P(-1.71 < Z < 1.71) ≈ 0.9135

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Answer:

a) Yes, the altitude from vertex J bisects side KL in the triangle with vertices J(-5, 4), K(1, 8), and L(−1, −2).

b) AJKL is an isosceles triangle. This is because side KL has the same length, which is 6 units.

Step-by-step explanation:

An isosceles triangle has two sides of equal length and two equal angles opposite to those sides. The angles between the two equal sides are called the base angles of the triangle. In the case of AJKL, the two equal sides are KL and JK, which have a length of 6 units. The two equal angles opposite to these sides are angle AJK and angle ALK.

Answer:

x=1.082682

Step-by-step explanation:

Answer:

188

Step-by-step explanation:

f(x)=4x² - 10+2

f(-7) = 4x² - 10 + 2

= 4(-7)² - 10 + 2

= 4 (49) - 10 + 2

= 196 - 10 + 2

= 188

The time it will take for the sink to fill with just the hot water faucet open is 21.11 minutes.

Given that :

A sink has two faucets: one for hot water and one for cold water.

Time taken to be filled with just the cold water faucet = 5.4 minutes

Time taken to be filled with both faucets = 4.2 minutes

let x be the time taken to fill with just the hot faucet open.

Rate at which hot water fills the sink = 1/x

Rate at which the cold water fills the sink = 1/5.4

Rate at which both fills the tank = 1/4.3

This can be written as :

1/x + 1/5.4 = 1/4.3

(5.4 + x ) / 5.4x = 1/4.3

Cross multiply.

4.3(5.4 + x) = 5.4x

1.1x = 23.22

x = 21.11

Hence the time taken to fill the sink with just hot water open is 21.11 minutes.

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