Find the least number which when divided by 8,9 and 12 leave remainder 4 in each case

Answer:

16404.2 feet

Step-by-step explanation:

1 in = 2.54 cm

1 km = 100000 cm

5 km = 100000*5 = 500000

1 feet = 12 in

500000 cm = 500000/2.54 = 196850.39 in  

196850.39 in = 196850.36 / 12 = 16404.2 feet

We can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

To construct a symbolic model of the argument, let's define the following symbols:

P: Jayco qualifies as a small business.

Q: Jayco has sales that are not large enough to influence its environment.

R: Jayco is privately owned by a small group of individuals.

Now we can represent the statements in symbolic form:

Premise 1: P ≡ (Q • R)

Premise 2: ~P

Conclusion: ~R

To determine if the argument is valid or invalid, we can construct a truth table:

| P | Q | R | P ≡ (Q • R) | ~P | ~R |

|---|---|---|-------------|----|----|

| T | T | T |      T      |  F |  F |

| T | T | F |      F      |  F |  T |

| T | F | T |      T      |  F |  F |

| T | F | F |      F      |  F |  T |

| F | T | T |      F      |  T |  F |

| F | T | F |      T      |  T |  T |

| F | F | T |      F      |  T |  F |

| F | F | F |      T      |  T |  T |

From the truth table, we can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

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The correct answer is 475 and 525. To find the range of values that 95% of the observations lie between.

We can use the empirical rule, which states that for a normal distribution with mean μ and standard deviation σ, about 95% of the observations will fall within 2 standard deviations of the mean.

In this case, the mean is 500 and the standard deviation is 10. So, 2 standard deviations below the mean is 500 - 2(10) = 480, and 2 standard deviations above the mean is 500 + 2(10) = 520.

Therefore, about 95% of the observations lie between 480 and 520, or approximately between 475 and 525.

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Answer:

The answer would be 92.8 but since we're rounding it'll be 90

Step-by-step explanation:

Answer:

m = 12

Step-by-step explanation:

\(-\frac{m}{3} =-4\\\)

→ Multiply both sides by 3

\({-m} =-12\\\)

→ Multiply both sides by -1

m = 12

Answer:

−22x^2−12x−62

Step-by-step explanation:

The law of syllogism, also called reasoning by transitivity, is a valid argument form of deductive reasoning that follows a set pattern. It is similar to the transitive property of equality, which reads: if a = b and b = c then, a = c. ... If they are true, then statement 3 must be the valid conclusion.Answer:

Step-by-step explanation:

Answer:

dilation because i had the same question and got this right

The absolute value of a number returns the positive value of the given number. A real life situation that describes the scenario is:

"the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point."

Given that:

\(x = 5\ or\ x = 10\)

An example of real life situation is as follows:

Calculate the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point.

Represent the point at which the boy stays with x. So, the situation is represented as:

\(|x - 7.5| = 2.5\)

Remove absolute brackets

\(x - 7.5 = 2.5\ or\ x - 7.5 = -2.5\)

Solve for x

\(x = 7.5+2.5\ or\ x = 7.5-2.5\)

\(x = 10\ or\ x = 5\)

Hence, the value of x is 5 or 10

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Answer:

$ 645.85

Step-by-step explanation:

First you would plug 6,500 into P. The plug 2.5% as 0.025 into i. And plug the years (5) into n.

A = 6500 (1 + 0.025)^5 = 7354.15

That is the amount that would be in the account at the end of the 5 years.

Then you take the cost of the car (8,000) and subtract the money left in the account (7,354.15).

8000 - 7354.15 = 645.85

Your final answer would be rounded to the nearest cent, or the hundredths place.

Answer:

B) (4,5)

Step-by-step explanation:

Hope this helps.. (again)

Answer:

(4,5)

Step-by-step explanation:

you can count the units, move seven to the right and two up

Answer:

8/5=3.6

2*3.6=7.2

3*3.6=10.8

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It is helpful to understand that the product of the binomial factors is ...

  (ax +b)(cx +d) = ac·x² +(ad+bc)x +bd

For these problems you only need to look at the constant and the leading coefficient to find the missing values.

__

1. d = 8/-4 = -2

2. b = -24/(3·2·d) = -4; c = 3/(3·a) = 1

3. a = 2/c = 1; d = -24/b = 6

a(n) = a(1) + ( n - 1 ) × d

a(23) = -21 + ( 23 - 1 ) × 8

a(23) = -21 + ( 22 ) × 8

a(23) = -21 + 176

a(23) = 155

And we're done....

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Answer:

i dont know

Step-by-step explanation:

i dont know

All the measure of angle θ, to the nearest minute are,

⇒ tan 35° = 0.70

⇒ sin 60° = 0.87

⇒ cos 25° = 0.91

⇒ tan 75° = 3.73

⇒ cos 45° = 0.71

⇒ sin 20° = 0.34

⇒ tan 80° = 5.67

⇒ cos 40° = 0.77

We have to simplify all the measure of angle θ, to the nearest minute as,

1) tan 35 degree

⇒ tan 35° = 0.70

2) sin 60 degree

⇒ sin 60° = √3/2 = 0.87

3) cos 25 degree

⇒ cos 25° = 0.91

4) tan 75 degree

⇒ tan 75° = 3.73

5) cos 45 degree

⇒ cos 45° = 1/√2 = 0.71

6) sin 20 degree

⇒ sin 20° = 0.34

7) tan 80 degree

⇒ tan 80° = 5.67

8) cos 40 degree

⇒ cos 40° = 0.77

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a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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The centroid of the region bounded by the curves y = 12x and y = √x is (72,1.88).

To find the centroid of the region bounded by the given curves y = 12x and y = √x, the following steps should be followed.

Step 1: Sketch the region bounded by the two curves to have an idea of what the region looks like.

Step 2: Determine the area of the region bounded by the two curves. The area A can be computed by evaluating the definite integral of the difference between the two functions. \(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx\]\)  We solve for this integral below.\(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = 64 - 1728 + \frac{2}{3}\sqrt{6}\] \[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = -1663.30\]\)

Step 3: To find the centroid of the region, we need to determine the x and y coordinates of the centroid. The x-coordinate of the centroid is given by the formula below.

\(\[x = \frac{1}{A}\int\limits_{a}^{b} \frac{1}{2}(y_1^2-y_2^2)dx\]\)

where A is the area of the region, and y1 and y2 are the upper and lower functions, respectively. Substituting values, we obtain

\(\[x = \frac{1}{-1663.30}\int\limits_{0}^{144} \frac{1}{2}((\sqrt{x})^2-(12x)^2)dx\]  \[x = 72\]\)

 The y-coordinate of the centroid is given by the formula below.

\(\[y = \frac{1}{2A}\int\limits_{a}^{b}(y_1+y_2)\sqrt{(y_1-y_2)^2+4dx}\]\)

 Substituting values, we obtain \(\[y = \frac{1}{2(-1663.30)}\int\limits_{0}^{144}(12x+\sqrt{x})\sqrt{(\sqrt{x}-12x)^2+4dx}\]  \[y = 1.88\]\)

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For the data set 3, 6, 4, 13, 3, 7, 5, 13, 3, 7, 5, 15, 3, 8, 5, 27, 4, 8, 6, 6, 4, 11, the outliers are 3, 3, 3, 3, 15, and 27.

In statistics, outlier refers to the data point from a given data set that differs significantly from the other data points.

One way to determine the outlier in a given data set is to calculate the interquartile range.

1. Arrange the data set in ascending or descending order.

3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 11, 13, 13, 15, 27

2. Divide the data set into two sets and find the median.

{3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6} , {6, 6, 7, 7, 8, 8, 11, 13, 13, 15, 27}

Q1 median = 4

Q3 median = 8

3. Solve for the IQR.

IQR = Q3 - Q1

IQR = 8 - 4

IQR = 4

4. Determine the outlier if

high outlier ≥ Q3 + (1.5 x IQR) = 8 + (1.5 x 4) = 14

high outlier ≥ 14

low outlier ≤ Q1 − (1.5 x IQR) = 4 - (1.5 x 4) = 3

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Replace x any with their values:

3(-4) + 7(6) -12

Simplify:

-12 + 42 -12

Solve:

-12 + 42 -12 = 42

Answer:

42

Step-by-step explanation:

3(4)+7(6)-12

12+42-12

54-12

42

The solution of the system of equations f(x) = 2^x + 1 and g(x) = 3^x is x = 1

From the question, we have the following parameters that can be used in our computation:

f(x) = 2^x + 1

g(x) = 3^x

The above expression is a system of exponential equations

We are required to solve by graph

That implies that we graph the equations in the system on the same plane and write out ordered pairs from the point of intersection of the equations in the system

Next, we plot the graph

See attachment for the graph of the equations

The ordered pairs of the intersection point is (1, 3)

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To solve the initial value problem y'' - 2y' - 3y = 0, with y(0) = 1 and y'(0) = 2, we can use the method of Laplace transforms.

First, we take the Laplace transform of the given differential equation to obtain an algebraic equation in terms of the Laplace transform of the unknown function y(t). Then, we solve the algebraic equation for the Laplace transform of y(t) using standard algebraic techniques. Finally, we take the inverse Laplace transform to obtain the solution y(t) in the time domain.

Applying the Laplace transform to the given differential equation, we have s²Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) - 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t). Simplifying this equation, we get (s² - 2s - 3)Y(s) - (s - 2) = s²Y(s) - 3s - 4. Rearranging the equation, we have Y(s) = (s - 2) / (s² - 2s - 3).

To solve this equation for Y(s), we can decompose the expression into partial fractions, which yields Y(s) = 1 / (s - 3) - 1 / (s + 1). Taking the inverse Laplace transform of Y(s), we obtain y(t) = e^(3t) - e^(-t), which is the solution to the initial value problem.

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Answer:

2nd Option is correct

Step-by-step explanation:

As :

Lines are - XZ, XW, ZY

Rays are - XW, ZY

BTW, you can answer the question by just seeing the options as well as figure.

WKT, a line is having 2 end points. So just see the options. Only 1 option is having 3 lines others are just having 1, but we can see in image that there are so many line segments having end points.

So, we can conclude that 2nd option is correct as we are seeing 3 lines in it..

Thanks

Hope it helps....

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Answer:

Needs more detail

A woman purchased a total of 50 yams, some costing 40 naira each and others costing 50 naira each.  The total amount spent on the yams was 2200 naira. The task is to determine the number of yams purchased at each price.

Let's assume the number of yams purchased at 40 naira each is 'x' and the number of yams purchased at 50 naira each is 'y.'  The total number of yams purchased is given as 50, so we have the equation x + y = 50. Additionally, the total amount spent on the yams is 2200 naira, which can be expressed as 40x + 50y = 2200. By solving this system of equations simultaneously, we can find the values of 'x' and 'y,' representing the number of yams purchased at each price.  The solution will provide the specific quantities of yams bought at 40 naira and 50 naira, respectively, satisfying both the total number of yams and the total amount spent.

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$7,115 more than Janet

Step-by-step explanation:

James: $200,087

Janet: $192,972

200,087

- 192,972

007,115

=

$7,115

7,115

you have to subtract

Answer:

1) 26

2) 5

3) 20

Step-by-step explanation:

1. 7 x 3 + 5  Do Multiplication before addition

21 + 5

26

2. 8÷4 + 3 Do division before addition

2 + 3

5

3. 2(12-4) + 4  Do what is in the parentheses first

2(8) + 4  Multiply before you add

16 + 4

20