EASY POINTS WILL GIVE BRAINLIST TO BEST ASWER!!
write the slope intercept form of the equation of the line through the given point with the given slope
through (-1, -4) slope = 5

455÷123×300= 1,109.756097

Given : A coin is tossed two times successively.

Solution:

Formula used: Probability = \(\frac{\text{number of outcome}}{\text{total number of outcome}}\)

(i) Sample space

\(HH\\HT\\TH\\TT\\\)

(ii) P( getting exactly one head) = \(\frac{2}{4}= \frac{1}{2}\)

(iii) P( getting no heads)=\(\frac{1}{4}\)

(iv)P( getting at least one tail)=\(\frac{3}{4}\)

Question 17: B. A’ (1,2), B’ (3,2), C’ (3,5)

Translating 4 to the right means that you should add 4 to the x value of your coordinate point.

Question 18: C. (3,-5)

This is because reflecting over the x-axis would mean to move down the same amount of units above the x-axis the original point is (the original point is five units above the x-axis so you just move down five units). Look at the attached picture for more help.

Question 19: A. C’ (0,-2)

We can see that the triangle has been translated 1 unit to the right and 2 units up. This would mean you add 1 to the x-value of the coordinate and add 2 to the y-value of the coordinate. I can’t see point C clearly, but I’m guessing that it’s at (-1,-4). This would give point C’ as (0,-2)

Hope this helps! Let me know if you need more help! Have a fantastic day!

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

The sum of interior angles of a polygon is:

CONCLUSION:

The final answer is:

Answer:

x = 4 mm

y = 15 mm

Step-by-step explanation:

x = 12 mm / 3 = 4 mm

y = 3 × 5 mm = 15 mm

The probability of getting exactly three 3s in 5 tosses of the die is approximately 0.0143.

In a single toss of a fair die, the probability of getting a 3 is 1/6. Let X be the number of times a 3 appears in 5 tosses of the die. Then X follows a binomial distribution with parameters n = 5 and p = 1/6.

a) To find the probability that a 3 never appears, we want to find P(X = 0). Using the binomial probability formula, we have:

P(X = 0) = (5 choose 0) * (1/6)^0 * (5/6)^5

= 1 * 1 * 0.4019

= 0.4019

Therefore, the probability of not getting any 3s in 5 tosses of the die is approximately 0.4019.

b) To find the probability that a 3 appears exactly once, we want to find P(X = 1). Using the binomial probability formula, we have:

P(X = 1) = (5 choose 1) * (1/6)^1 * (5/6)^4

= 5 * 1/6 * 0.4823

= 0.2012

Therefore, the probability of getting exactly one 3 in 5 tosses of the die is approximately 0.2012.

c) To find the probability that a 3 appears exactly three times, we want to find P(X = 3). Using the binomial probability formula, we have:

P(X = 3) = (5 choose 3) * (1/6)^3 * (5/6)^2

= 10 * 0.00463 * 0.3087

= 0.0143

Therefore, the probability of getting exactly three 3s in 5 tosses of the die is approximately 0.0143.

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The answer can be solved by using the kinematic equation, S= ut+at²/2. Here the time taken by the feather to fall from 75 feet will be 2.16 s.

Here a feather is dropped from a height of 75 ft. All other units are in SI system. So we have to convert the height to meters.

75 ft = 75/ 3.281 = 22.86 m.

We are neglecting the frictional force, or any other force acting on the feather. If the feather is under free fall, we can use the kinematic equation,

   S = ut + at²/2

S is the displacement, here the height = 22.86 m

u is the initial velocity, which is 0

t is the time

a is acceleration, here a= g, acceleration due to gravity = 9.8 m/s².

S = 0×t + 9.8t²/2

22.86 = 4.9t²

t² = 22.86/4.9

   = 4.665

t = √4.665 = 2.159 s = 2.16 s

So the time taken for the feather to reach water will be 2.16 s.

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Answer:

Step-by-step explanation:

B

Answer:

b. 280°

Step-by-step explanation:

((14π)/9)= 4. 8869(((180)/π))= 280°

Answer:

x = 12

Step-by-step explanation:

We can use the Cross Products Property.

9 / 12 = x / 16

12x = 9 * 16

x = 9 * 16 / 12 = 12

Answer:

x = 12

Step-by-step explanation:

→ First we work out the multiplier between 16 and 12 so,

16 ÷ 12 = 1.3 recurring

→ Multiply this multiplier by 9

9 × 1.3 recurring = 12

→ x = 12

The 95% confidence interval for the true mean age of players in this baseball league is (27.58, 29.82).

1. Calculate the sample mean:

(32 + 24 + 30 + 34 + 28 + 23 + 31 + 33 + 27 + 25) / 10 = 287 / 10 = 28.7

2. Determine the standard error of the sample mean:

Standard error = Standard deviation / sqrt(sample size) = 1.8 / sqrt(10) ≈ 0.5698

3. Determine the critical value for the 95% confidence level (using the z-table, since the population standard deviation is known):

Critical value (z-score) ≈ 1.96

4. Calculate the margin of error:

Margin of error = Critical value * Standard error ≈ 1.96 * 0.5698 ≈ 1.1168

5. Find the confidence interval:

Lower limit = Sample mean - Margin of error = 28.7 - 1.1168 ≈ 27.58

Upper limit = Sample mean + Margin of error = 28.7 + 1.1168 ≈ 29.82

So, the 95% confidence interval is (27.58, 29.82), rounded to two decimal places and in ascending order.

Note: The question is incomplete. The complete question probably is: The following data represent a random sample of the ages of players in a baseball league. Assume that the population is normally distributed with a standard deviation of 1.8 years. Find the 95% confidence interval for the true mean age of players in this league. Round your answers to two decimal places and use ascending order. Age: 32, 24, 30,34,28, 23,31,33,27,25.

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Answer:

e

Step-by-step explanation:

Answer:

$98 billion

Step-by-step explanation:

The computation of the opportunity cost is shown below:

= Difference in military spending × economy ÷ percentage

where,

The Difference in military spending is

= 3.7 - 3

The Economy is $14 trillion

And, the percentage is 100

Now placing these values to the above formula

So, the opportunity cost is

= (3.7 - 3) × $14 trillion ÷ 100

= 0.7 × $14 trillion ÷ 100

= $98 billion

The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.

Calculation for the average of a set of numbers, follow these steps:

Add up all the values in the data set.

Division of the sum by the total number of values.

For example, consider the following data set: 10, 15, 20, 25, 30.

Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.

Divide the sum by the total number of values: 100 / 5 = 20.

In this case, the average of the data set is 20.

The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.

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Answer:

The z-score for this data point is -1.5

Step-by-step explanation:

Mean = M = 150

Standard Deviation = S = 20

Value = x = 120

We find the z value,

\(z = (x-M)/S\\z = (120 - 150)/20\\z = (-30)/20\\z=-3/2\\z=-1.5\)

Hence the z value is z = -1.5

Answer:

i. Curved surface area = 2310 \(cm^{2}\)

ii. Total surface area = 3696 \(cm^{2}\)

iii. volume = 12936 \(cm^{3}\)

Step-by-step explanation:

Perimeter of the circular base = circumference of the circle = 132 cm

circumference of a circle = 2\(\pi\)r

132 = 2\(\pi\)r

r = \(\frac{132}{2\pi }\)

 = \(\frac{66}{\pi }\)

r = 66 x \(\frac{7}{22}\)

 = 3 x 7

 = 21

radius = 21 cm

vertical height, h = 28 cm

Thus applying the Pythagoras theorem,

\(l^{2}\) = \(h^{2}\) + \(r^{2}\)

  = \(28^{2}\) + \(21^{2}\)

  = 784 + 441

  = 1225

l = \(\sqrt{1225}\)

l = 35 cm

The slant height is 35 cm.

i. Curved surface area = \(\pi\)rl

                           = \(\frac{22}{7}\) x 21 x 35

                           = 22 x 3 x 35

                           = 2310

curved surface area of the cone is 2310 \(cm^{2}\).

ii. Total surface area = \(\pi r^{2}\) + \(\pi\)rl

                                  = \(\pi\)r(r + l)

                                  = \(\frac{22}{7}\) x 21 (21 + 35)

                                  = 22 x 3 x 56

                                  = 3696

The total surface area of the cone is 3696 \(cm^{2}\).

iii. volume of a cone = \(\frac{1}{3}\)\(\pi r^{2}\)h

                                  =  \(\frac{1}{3}\) x \(\frac{22}{7}\) x \(21^{2}\) x 28

                                   = 12936

The volume of the cone is 12936 \(cm^{3}\)

Lateral Surface Area of triangle prism = (2a + c) x h

We need to determine the area of all the rectangular sides of a triangular prism in order to calculate its lateral surface area. In this instance, there are two isosceles triangles and one rectangle.

The following formula can be used to determine the triangular prism's lateral surface area:

Lateral Surface Area = Perimeter of Base x Height

The sum of the lengths of each side of a triangular prism forms the base's perimeter.

Since the base is an isosceles triangle in this case, the perimeter can be calculated by dividing the length of the third side by twice the length of one of the equal sides.

We should expect that the foundation of the three-sided crystal has sides of length a, b, and c. We can expect to be that an and b are the equivalent sides, and c is the third side.

Perimeter of Base = 2a + c

The height of the triangular prism is the perpendicular distance between the two parallel bases, which is the length of the rectangular face of the prism. Let's assume that the height of the triangular prism is h.

Now, the lateral surface area of the triangular prism can be found by multiplying the perimeter of the base by the height of the prism:

Lateral Surface Area = Perimeter of Base x Height

Lateral Surface Area = (2a + c) x h

Therefore, to calculate the lateral surface area of the triangular prism, we need to know the length of the sides of the base, c and the height of the prism, h. Once we have these values, we can use the formula to find the lateral surface area.

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In a simple linear regression model, the coefficient of the independent variable (x) in the estimated sample regression equation indicates the change in the predicted value of the dependent variable (y) when x increases by one unit. This coefficient is also known as the slope of the regression line. Therefore, to calculate the predicted value of y, we multiply the coefficient by the value of x and add the intercept.

In a simple linear regression model, the coefficient that indicates the change in the predicted value of y when x increases by one unit is the "slope coefficient" or the "regression coefficient" (usually denoted as b1). This coefficient represents the relationship between the independent variable x and the dependent variable y.

The linear regression equation is given as:

y = b0 + b1 * x

Where:
- y is the predicted value of the dependent variable
- b0 is the intercept coefficient (where the line intersects the y-axis)
- b1 is the slope coefficient (the change in y when x increases by one unit)
- x is the independent variable

In this equation, b1 indicates the change in the predicted value of y when x increases by one unit.

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Answer:

65.7 / 66 kilograms

Step-by-step explanation:

If a high school sold 800 tickets for a soccer game. The number of adult tickets sold is: C. 328.

Let's use the following variables to represent the number of each type of ticket sold:

A = number of adult tickets

S = number of student tickets

C = number of child tickets

We know that the total number of tickets sold is 800, so we can write the equation:

A + S + C = 800

We also know that there were four times as many adult tickets sold as child tickets, so we can write:

A = 4C

Finally, we know that there were 62 more student tickets sold than adult tickets, so we can write:

S = A + 62

We can use substitution to solve for A. Substituting the second equation into the third equation, we get:

S = 4C + 62

Substituting this expression for S into the first equation, we get:

A + (4C + 62) + C = 800

Simplifying and using the equation A = 4C, we get:

9C + 62 = 800

9C = 738

C = 82

Therefore, the number of adult tickets sold is:

A = 4C = 4(82) = 328

Therefore the answer is option C: 328 adult tickets were sold.

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4 times as likely is Phillip to get exactly three heads than exactly two heads

A chance that something might exist, happen, or be true : the state or fact of being possible is called possibilities.

Possibility is the universal set whereas probability is the subset. Possibility is surer to occur than probability. Possibility has its opposite in the word impossibility whereas probability has its opposite in the word improbability.

We can find;

P (three heads) =  C(8,3)(2/3)^3(1/3)^5  = 448 / 6561

P (two heads) = C(8,2)(2/3)^2(1/3)^6  = 112 / 6561

So......     448 / 112   =  4 times more likely to get 3 heads than 2 heads

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The sum of forecast errors is also known as total forecast error. Therefore, the correct answer is option A, which is "2."

The absolute error of the given data is calculated by subtracting the actual value from the forecasted value, followed by the absolute value.

The errors are then summed up to get the mean absolute deviation. The value used for ||18−20|| in the calculation of MAD and summing up the forecast errors is 2.

Therefore, the correct answer is option A, which is "2."Formula for calculating MAD:MAD = Σ ( | A_i - F_i | ) / n

Where: MAD is the mean absolute deviation|A_i - F_i| represents the absolute error between the actual value (A) and the forecasted value (F)n is the total number of observations, Sum of forecast errors:Σ ( A_i - F_i )Where: A_i is the actual valueF_i is the forecasted value

The sum of forecast errors is also known as total forecast error.

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Answer:

See below

Step-by-step explanation:

Parts A-F

\(\angle M\cong \angle I\\\angle K\cong \angle O\\\angle N \cong \angle J\\?=NO\\?=LO\\?=LO\)

Basically, for angles, match the order of each letter respectively, and for line segments, same thing. For example, angle M in the first problem is congruent to angle I because their letters both come second in the polygons.

I hope this helps, feel free to comment if it doesn't and I'll try to explain further.

Answer:

B

Step-by-step explanation:

Any number, regardless of its sign, raised to an even power will always be positive. Therefore, a⁷² will be positive. We know that -3/7 is negative, and since a positive times a negative is negative, the answer will be negative.

There is no mode of the number of girl in the three classes.

The value that appears the most frequently in a data collection when it is unique is known as the mode, and like the median and mean, it can be used to measure central tendency. However, occasionally there is either no mode or more than one mode.

Given:

The data for boys: 15, 12, 12

The data for Girls: 14, 12, 16

As, mode is the most repeating data.

We can see that the data repeats in boys but not for the Girls.

So, number of boys have the mode but the number of girls do not have the mode.

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The given triangle in the question is a right-angled triangle. In order to get the length of each side, we will apply the Pythagoras theorem.

The Pythagoras theorem is,

Where,

Therefore,

Let us expand the above

Switch sides

Subtract 25 from both sides

Simplify

Solve with the quadratic formula

Thus

Therefore,

Separate the solutions

Hence,

The solutions to the quadratic equations are

Therefore, from the above result, the length of a triangle can never be negative.

Hence, x = 3

Let us now solve the length of the remaining side

Therefore, the length of each leg is

Answer:

When you divide 2680 by 3, you get:

Quotient: 893

Remainder: 1

So 2680 divided by 3 is equal to 893 with a remainder of 1.

Ans:-

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hope it helps! :)