Write an equation in slope intercept form for the line with slope 1/3 and y intercept -4

Answer:

yes it's a right angle triangle

Step-by-step explanation:

by using Pythagoras theorem

H2= b2 + p2

5^2= 3^2+ 4^2

25= 25

hope it helps

According to the given questions the probability are 2.6 - (d) 1/216. 2.7- (d) 1/216. 2.8 - (a) 125/216.

To calculate the probability of the given outcomes, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
2.6) To roll a 6 on each of the dice (r, g, and b), the probability is 1/6 * 1/6 * 1/6 = 1/216.

Therefore, the answer is (d) 1/216.
2.7) To roll a 1 on each of the dice (r, g, and b), or a 2 on each of the dice (r, g, and b), we have two possible outcomes. The probability for each outcome is 1/6 * 1/6 * 1/6 = 1/216.

Therefore, the answer is (d) 1/216.
2.8) To roll no 3s at all, we need to determine the number of outcomes without any 3s, which is 5 * 5 * 5 = 125.

The total number of possible outcomes is 6 * 6 * 6 = 216. So, the probability is 125/216.

Therefore, the answer is (a) 125/216.

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Answer:

2  3/4 hours

Step-by-step explanation:

We see from the figure that 2 students spent 1/4 hours and 3 students spent 3/4 hours.

So the total time spent is

2* (1/4) + 3(3/4) hours

= 1/2 + 9/4

=(2+9)/4  taking l.c.m

= 11/4

= 2 3/4 hours

The total time spent by 5 students on 1/4 hours and 3/4 hours is 2 and 3/4 hours.

The characteristic equation, the general solution, and the solution that passes through the initial values are:

r² + 3r + 4 = 0

The given differential equation is

x" + 3x + 4x = 0.

The characteristic equation is

r² + 3r + 4 = 0.

The roots of the characteristic equation are:

r = (-3 + i)/2

and

r = (-3 - i)/2.

The general solution of the differential equation is

\(.\)x(t) = c₁e^((-3 + i)t/2) + c₂e^((-3 - i)t/2).

Now, we find the values of c₁ and c₂ by applying the initial conditions.

Given:

x(0) = 2 and

x'(0) = 1.

The solution that passes through the initial values is as follows:

\(.\)x(t) = (2/5) * e^(-3t/2) * [(2/5)cos(t/2) + (3/5)sin(t/2)].

Therefore, the characteristic equation, the general solution, and the solution that passes through the initial values are:

r² + 3r + 4 = 0

x(t) = c₁e^((-3 + i)t/2) + c₂e^((-3 - i)t/2)

x(t) = (2/5) * e^(-3t/2) * [(2/5)cos(t/2) + (3/5)sin(t/2)]

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Answer:

The answer is 145 ceramic tiles

Step-by-step explanation:

$4 Divided by $581.82 = 145.455

The value of x in the pentagon is 35.

We have,

The angles make a straight angle.

So,

x + a = 180

a = 180 - x

And,

2x + b = 180

b = 180 - 2x

And,

91 + c = 180

c = 180 - 91

c = 89

And,

79 + d = 180

d = 180 - 79

d = 101

And,

85 + e = 180

e = 180 - 85

e = 95

Now,

The sum of the interior angles inside a pentagon.

S = (n - 2) × 180 degrees,

n is the number of sides.

So,

S = 540 degrees

Now,

a + b + c + d + e = 540

180 - x + 180 - 2x + 89 + 101 + 95 = 540

-3x + 645 = 540

-3x = 540 - 645

-3x = -105

x = 35

Thus,

The value of x in the pentagon is 35.

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1. is perpdicul. 2. is parrell 4. is perpdicul 3. is right angels. 5. is parrell. 6. is right angle

Answer:

2,5 is parallel  3,6 is perpendicular  1,4 is intersecting lines

Step-by-step explanation:

Hope this helps btw feel free to report me if im wrong

Intersecting lines 'intersect' each other, but do not form a right angle. Perpendicular lines ALWAYS form a right angle. Think of these as a 4-way intersection in a big city, such as New York. Parallel lines NEVER intersect each other. Think of these as train tracks.

Answer:

\(x^3+9x^2+16x-6\)

Step-by-step explanation:

When you learned to divide numbers, you said that 10 divided by 2 has quotient 5 since 5 times 2 was 10.

Same difference, let's multiply the two polynomials:

\((x^2+6x-2)(x+3) = x^3+9x^2+16x-6\).

that assuming that you want no remainder. If you care about the remainder, just change the constant term with anything you want. the distance from \(-6\) will be your remainder.

Answer:

Step-by-step explanation:

The scenario represented by the given scatter plot is the score of one observation is high, we expect the score of the other observation to be low, and vice versa.

A scatter plot is a set of points plotted on a horizontal and vertical axes. Scatter plots are important in statistics because they can show the extent of correlation, if any, between the values of observed quantities or phenomena called variables.

When the points on a scatterplot graph produce a upper-left-to-lower-right pattern, we say that there is a negative correlation between the two variables. This pattern means that when the score of one observation is high, we expect the score of the other observation to be low, and vice versa.

Hence, the scenario represented by the given scatter plot is the score of one observation is high, we expect the score of the other observation to be low, and vice versa.

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Answer:

-17

Step-by-step explanation:

Distribute:

7w+140+w=4

Add like terms

8w+140=4

Move constant to the right

8w=4-140

Add like terms

8w=-136

Divide both sides by 8

w=-17

Answer:

p = 2/5

Step-by-step explanation:

\(7p+8=12-3p \\ \\ 10p+8=12 \\ \\ 10p=4 \\ \\ p=2/5\)

Answer:

Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2

Step-by-step explanation:

The image is attached below

For the triangular sides of the roof, area is

A = \(\frac{1}{2}bh\)

where b is the base = 4 ft

h is the vertical height = 2.24 ft

A =  \(\frac{1}{2}*4*2.24 =\) 4.48 ft^2

for the two faces we have 2 x 4.48 ft^2 = 8.96 ft^2

For the rectangular sections of the roof, area is

A = \(lh\)

where \(l\) is the length of the rectangle = 5 ft

h is the height of the rectangle = 3 ft

A = 5 x 3 = 15 ft^2

For the two rectangular faces, we have 2 x 15 ft^2 = 30 ft^2

For the bottom face, area is

A = \(lw\)

where \(l\) is the length of the house = 5 ft

w is the width of the house = 4 ft

A = 5 x 4 = 20 ft^2

Surface area of the roof of the dog kennel is

8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2

Answer:

x = 28

Step-by-step explanation:

The angle is 90 degrees. (right angle)

Based on the information given, part of the angle is 33 degrees.

Given this information, 2x + 1 = 90 - 33

90 - 33 = 57

2x + 1 = 57

2x + 1 - 1 = 57 - 1

2x = 56

56 / 2 = 28

Answer:

x=28

Step-by-step explanation:

1) 2x+1+33= 90

2) 2x+34=90

3) 2x= 56

4) x= 28

The solution of the expression is,

⇒ S = - 5100

Since, An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

We have to given that;

Sequence is,

⇒ ∑ n = 1 to n = 4 [ 100 (- 4)ⁿ⁻¹ ]

Now, We get;

⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]

Replace n to n + 1;

⇒ a (n + 1) = 100 (- 4)ⁿ

And, For n = 1;

⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]

⇒ a (1) = [ 100 (- 4)¹⁻¹ ]

⇒ a (1) =  100

And, Common ratio = - 4

Hence, The sum of geometric ratio is,

⇒ S = 100 (1 - (- 4)⁴) / (1 + 4)

⇒ S = 100 (1 - 256) / 5

⇒ S = - 5100

Thus, The solution of the expression is,

⇒ S = - 5100

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Answer:

See below ↓

Step-by-step explanation:

1.

2.

3.

Answer:

-19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

replace x with seven then simplify

The height of the cylinder is 5 m.

The surface area of a cylinder is \(28 \pi m^{2}\).

The total surface area of a cylinder is equal to the sum of the areas of all its faces. The total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.

Let's call the height of the cylinder "h". The surface area of a cylinder can be calculated as

Where r is the radius of the base.

Since the diameter of the base is 4 meters, the radius is 4/2 = 2 meters.

We know the surface area of the cylinder is \(28 \pi m^{2}\), so we can use this information to find h:

⇒\(28 \pi = 2 \pi(2)h + 2 \pi(2)^{2}\)

Expanding and simplifying the equation:

⇒28π = 4πh + 8π

Subtracting 8π from both sides:

⇒20π = 4πh

Dividing both sides by 4π:

⇒h = 5

Therefore, the height of the cylinder is 5 meters.

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The number of ways to pack eight indistinguishable copies of same book into five  boxes which are indistinguishable is equal to 495.

To determine the number of ways to pack eight indistinguishable copies of the same book into five indistinguishable boxes,

Use a technique called "stars and bars."

Here, imagine each book as a star (*) and the boxes as bars (|).

Place the stars among the bars to represent the distribution of books into boxes.

Eight stars (books) and five bars (boxes).

Place the bars in different positions between or beside the stars.

This arrangement represents three books in the first box,

two books in the second box,

zero books in the third box,

zero books in the fourth box,

and three books in the fifth box.

To calculate the number of ways to arrange the stars and bars,

Determine the number of ways to choose the positions for the bars among the stars.

Using combinations.

Choose four positions for the bars from a total of thirteen possible positions (eight stars and five bars).

The formula for combinations is,

C(n + k - 1, k - 1)

where n is the number of stars and k is the number of bars.

Using the formula, calculate the number of ways as,

C(8 + 5 - 1, 5 - 1)

= C(12, 4)

Using the formula,

12! / (4! × (12 - 4)!)

= 12! / (4! × 8!)

= (12 ×11 × 10 × 9) / (4 × 3 × 2 × 1)

= 495

Therefore, there are 495 ways to pack eight indistinguishable copies of same book into five indistinguishable boxes.

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Answer:

13/20 of a mile

Step-by-step explanation:

2/5 x 4 = 8/20

1/4 x 5 = 5/20

8/20 + 5/20 = 13/20

Answer: B y=100/x

Step-by-step explanation:

The correct answer are as follows

a) True, b) False, c) False, d) False, e) False

(a) True. The standard deviation is always a non-negative value since it is a measure of the spread or variability of the data set.
(b) False. Since A and B are disjoint, they have no overlapping outcomes, which means P(A AND B) = 0.
(c) False. Although the mean and median are often close in a normal distribution, they are not always equal. The median is the middle value of the distribution, while the mean is the average of all values.
(d) False. A 95% confidence interval is narrower than a 98% confidence interval of the same parameter since it requires a higher level of confidence to have a wider interval.
(e) False. If the value of the test statistic is 1.5 and P(T<1.5)=0.98, then the p-value is 0.02. Since the p-value is less than the level of significance of 0.05, we reject the null hypothesis.
(a) True. The standard deviation of a data set cannot be negative because it is a measure of dispersion and is calculated as the square root of the variance, which is always non-negative.

(b) False. If A and B are disjoint, then P(A AND B) = 0, since disjoint events cannot occur simultaneously.

(c) True. For a normal distribution, the mean is always equal to the median, indicating a symmetrical distribution.

(d) False. A 95% confidence interval is narrower than a 98% confidence interval of the same parameter because a higher confidence level requires a wider interval to capture the true value with greater certainty.

(e) True. In a two-tailed test, if the test statistic follows a Student's t-distribution with P(T<1.5)=0.98, this means that P(T>1.5)=0.02. For a two-tailed test at a 0.05 level of significance, the rejection regions are in both tails, with 0.025 in each tail. Since P(T>1.5)=0.02 < 0.025, we fail to reject the null hypothesis.

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There are three solutions of the equation ||2x-3|-m|=m have if m>0.

We have to estimate the number of solutions of the equation ||2x - 3| - m| = m where m > 0.

As we know in the modulus function

|x|= x if x>0

     -x if x<0

      0 if x=0

here given m > 0

if |2x-3|-m>0 then the modulus value will be ||2x-3|-m|=  |2x-3|-m

Then, |2x - 3| - m = m

⇒|2x - 3| = m+m= 2m

⇒2x - 3 = 2m    or      -(2x-3)=2m

⇒2x - 3 = 2m    or      2x-3=-2m

⇒2x = 3 ± 2m

⇒x = (3 ± 2m)/2

⇒x= (3 + 2m)/2  or   (3 - 2m)/2

If  |2x-3|-m<0 then then the modulus value will be | |2x-3|-m| = -(|2x-3|-m)

-(|2x-3|-m)=m

⇒m-|2x-3|=m

⇒-|2x-3|= m-m

⇒ |2x - 3| = 0

⇒2x = 3

⇒x = 3/2

Therefore The solution of the equation will be (3 + 2m)/2, (3 - 2m)/2, and 3/2.

Therefore there are three solutions of the equation ||2x-3|-m|=m have if m>0.

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There are 720 possible dinner specials.

To calculate the number of dinner specials, we need to multiply the number of options for each course.

The number of dinner specials is the product of the number of options for each course:

So,

3 x 3 x 4 x 5 x 4 = 720 possibilities

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Answer:

One comic book costs $5.

Step-by-step explanation:

6 - 3 = 3

3 books = 1 action figure

1 action figure = $15

15/3 = 5

1 comic book = $5

Hope this helps! :)

Increasing the number of training examples tends to decrease both bias and variance, while increasing the complexity of the hypothesis decreases bias but increases variance.

In a binary classification task, bias refers to the error introduced by making assumptions about the relationship between features and the target variable, while variance refers to the error caused by the model's sensitivity to fluctuations in the training data.

Scenario: Increase the number of training examples (m):

Increasing the number of training examples tends to decrease both bias and variance. With more data, the model can better capture the underlying patterns in the data, reducing bias. Additionally, the model becomes less reliant on specific instances, resulting in lower variance as it becomes more robust to variations in the training set.

Scenario: Increase the complexity of the hypothesis (✓):

Increasing the complexity of the hypothesis can lead to a decrease in bias but an increase in variance. A more complex hypothesis can better fit the training data, reducing bias. However, it also becomes more sensitive to noise and fluctuations, causing an increase in variance.

In conclusion, increasing the number of training examples tends to decrease both bias and variance, while increasing the complexity of the hypothesis decreases bias but increases variance.

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Answer:

  (d)  exponential

Step-by-step explanation:

You are given a graph of a curve that is concave upward and has a horizontal asymptote. Apparently, you are to identify the sort of function that has a graph like this.

__

Of the offered choices, the only kind of function that graphs as a curve with a horizontal asymptote is exponential.

__

other answers

Linear (a) and Absolute Value (b) functions graph as straight lines (or straight lines in a ∧ or ∨ shape).

Polynomials (c) will not have a horizontal asymptote. Instead, they extend to ±∞ as |x| gets large.

_____

Additional comment

The graph is not carefully drawn. On the right, each unit increase in x should reduce the function value by a factor of 1/2. That seems true for x=1 and x=2, but not for x > 2. On the left, each unit decrease in x should increase the function value by a factor of 2. That is true for x=-1, but not for x=-2. The left side of the graph of an exponential decay function gets very steep, but is never vertical. The attachment shows an actual exponential graph.

Answer:

(a) 0.635

(b) 0.498

Step-by-step explanation:

(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;

CDF  = \(F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}\)

For x = three we have;

CDF = 0.781

For x = one we have;

CDF = 0.1465

Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635

(b) For x = 2 we have;

CDF = 0.4395

For x = one we have;

CDF = 0.9378

Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498