: Write the equation of the line in Point-Slope Form given the information below. Slope=-2 Point=(1,-1)

Answer:

I think it's 76×99

Step-by-step explanation:

hope it helps

Answer:

105

Step-by-step explanation:

75+105 =180

The true mean study time is likely between 19.6 and 21.6 hours per week .The higher the confidence level, meaning that we can be more sure that the true mean study time is within the given range.

The margin of error is an important statistic that helps measure the accuracy of a survey. It is calculated by multiplying the standard deviation by the z-score for the given confidence level. A 90% confidence level has a z-score of 1.645, a 96% confidence level has a z-score of 1.96, and a 99% confidence level has a z-score of 2.58. Using this information, the margin of error for a survey of 225 students with a mean study time of 20.6 and a standard deviation of 2.7 is approximately 1.0. This means that the true mean study time is likely between 19.6 and 21.6 hours per week. The higher the confidence level, the higher the margin of error, meaning that we can be more sure that the true mean study time is within the given range.

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Answer:6

Step-by-step explanation:

-7=s+(-13)

Open bracket

-7=s-13

Collect like terms

s=-7+13

s=6

Answer:  9 - 6n6n - 9(6 + n) - 99 - (6 + n)

The expected value of x is given as follows:

E(X) = 1.

The distribution of the variable in this problem is given as follows:

f(x) = 8x, 0 ≤ x ≤ 0.5.

The expected value is given by the integral of the distribution function over the interval, hence:

\(E(X) = \int_0^{0.5} 8x dx\)

The result of the integral, applying the power of x rule, is given as follows:

4x².

Hence, applying the Fundamental Theorem of Calculus, the expected value is given as follows:

E(X) = 4(0.5)² - 4(0)²

E(X) = 1.

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Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.

True

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

I solved C first using:

30+38+c = 180 (angles along a straight line should add up to 180 since a whole circle is 360)

-

I solved A by looking across from C.

Angles on opposite sides should mirror each other but A includes 38* + C

Just by doing 112 + 38 you get 150.

-

I solved D by looking at 30*, alternative interior angles are the same so D is 30*.

-

I solved B by taking C (112) and D (30) and adding them together and subtracting from 180.

Interior angles of a triangle should all add up to 180,

112 + 30 + B = 180

From this I got that B was 38.

Alternatively you can find this out by looking at the 38 degrees, corresponding congruent angles are always the same.

I suggest reviewing this angles sheet if you're ever stuck in the future.

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

The table can be filled as,

-7

-5

-1

1

9

The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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The number of miles that Jamel drove the car on his vacation was 97 miles.

Let the number of miles that he traveled be represented by x.

Based in the information given, the equation to solve the question will be:

50 + (0.75 × x) = 122.75

50 + 0.75x = 122.75

Collect like terms

0.75x = 122.75 - 50

0.75x = 72.75

Divide both side by 0.75

0.75x/0.75 = 72.75/0.75

x = 97

Therefore, Jamel drove the car for 97 miles.

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The temperature when the plane reaches an altitude of 9,000 is 37.1

From the question, we are to determine what the temperature would be when the plane reaches an altitude of 9,000

From the given information,

There is a 1.3 drop in temperature for every thousand feet that an airplane climbs

and

The temperature on the ground is 48.8

Thus,

When the plane reaches an altitude of 9,000 feet, the temperature will be

48.8 - (9 × 1.3)

= 48.8 - 11.7

= 37.1

Hence, the temperature when the plane reaches an altitude of 9,000 is 37.1

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Using the Central Limit Theorem, it is found that the mean of the sampling distribution of the sample proportion of the responses is of 0.78.

In this problem, an article written for a magazine claims that 78% of the magazines subscribers report eating healthily the previous day, hence \(p = 0.78\).

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The Equivalent ratios of 6:1 are 12:2, 18:3, 24:4, 30:5, 36:6 and so on..

A ratio is a pair of numbers written in the form of  \(x/y\)  or  \(x:y\).  A ratio can be used to compare two or more quantities.

The general form of the ratio is in

                                            Ratio \(= x:y\)

              where, x is the numerator and y is the denominator      

The ratios are said to be equivalent if their simplified forms are equal. We need to multiply the given quantities with the same numbers to get equivalent ratios. If the given ratio is in fractions then we need to multiply the numerator and denominator with the same numbers to get equivalent fractions.

To find Equivalent ratios of 6:1, we need to multiply 6 and 1 with the same numbers

                                   ⇒    \(6*2:1*2=12:2\)

                                   ⇒    \(6*3:1*3=18:3\)

                                   ⇒    \(6*4:1*4=24:4\)

                                   ⇒    \(6*5:1*5=30:5\)

                                   ⇒    \(6*6:1*6=36:6\)                                                      

                                           :                                                                                                                              

                                   ⇒    \(6*n:1*n=x:y\)

The numbers that make equivalent ratios to 6:1 are

              6:1 :: 12:2 :: 18:3 :: 24:4 :: 30:5 :: 36:6 :: ........................          

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Answer:

x=-3

Step-by-step explanation:

The values of y with respect to the points created is constant, hence the two points will have the same y values but difference their respective x values

The surface area of the given pyramid is equivalent to 760 square inches.

The surface area of a figure is the sum of the area of the surfaces of such figure.

The given pyramid is made up of 5 big rectangles and 2 small rectangles

Surface area = Area of 4 large rectangles + 2(area of small rectangles)

Surface area = 2(22 * 10) + 2(22 * 5) + 2(10 * 5)

Surface area = 440 + 220 + 100

Surface area  = 760 square inches

Surface area = 760 square inches

Hence the surface area of the rectangular based pyramid is 760 square inches

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The simplification of one over x raised to the negative sixth power gives (x)^1/6

What are fractional indices?

Fractional indices are powers of a term that are fractions. Two fractions are equivalent to each other if after simplification either of two fractions is equal to the other one

To simplify one over x raised to the negative sixth power:

one over x raised to the negative sixth power is (1/x)^-1/6

Since 1/x = x⁻¹

(1/x)^-1/6 = (x⁻¹)^-1/6      (Since -1 × -1/6 = 1/6)

             = (x)^1/6

Therefore, one over x raised to the negative sixth power simplifies to (x)^1/6

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Answer: 5 for 600 each

There are 50 great balls.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Cost of 1 great ball = $600

Total amount = $3000

So, number of Great balls

= 3000 / 600

= 50

hence, there are 50 great balls.

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Answer:

$1.35

Step-by-step explanation:

Set up a system of equations, where d represents the price of one drink and s represents the price of one sandwich:

3d + 5s = 25.05

4d + 2s = 13.80

We can solve this by elimination by multiplying the top equation by -2 and multiplying the bottom equation by 5.

-6d - 10s = -50.1

20d + 10s = 69

Add them together:

14d = 18.9

d = 1.35

The most appropriate measure of center is median.

option B.

The choice of measure of center (i.e., the most appropriate way to summarize the "typical" value of a dataset) depends on the distribution of the data and the research question being addressed. In general, the most commonly used measures of center are the mean and the median.

The mean is the arithmetic average of a dataset, and is often used as the measure of center for datasets that follow a normal or symmetrical distribution, where the data are roughly evenly distributed around a central value.

The median, on the other hand, is the middle value of a dataset when the values are arranged in order from smallest to largest.

For the given data, it is not evenly distributed but it is arranged from the smallest to the largest, so we can use median as the most appropriate measure of center.

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Answer: Dilation is a technique for creating similar figures. Each point is stretched outwards from the center point D by multiplying distances by the scale factor. (Outwards if the scale factor is bigger than 1.) Move the points A, B, and C to change the shape of the triangle.

Step-by-step explanation:

The sum of all the numbers on the chessboard is 836400.

The top row contains all powers of 2 from up to 0 to up to 7 in ascending order, whereas the leftmost column contains all powers of 3 from up to 0 to up to 7 in descending order.

Based on all the information given in statement, we determine that the product in each square of the chessboard (\(s(i, j)\)) is represented by the following expression:  

\(s(i, j) = 2^{i-1}\cdot 3^{j-1}\) (1)

Where:

And the sum of all the numbers on the chessboard is determined by the following formula:

\(p = \Sigma\limits_{i=1}^{8}\Sigma\limits_{j=1}^{8} s(i,j)\) (2)

Which can be found rapidly by using the following algorithm in Python:

sum = 0

for i in range(1, 9):

   for j in range(1,9):

       sum += ((2** (i-1))* (3** (j-1)))

print(sum)

After performing this algorithm, we found that the sum of all the numbers on the chessboard is 836400. \(\blacksquare\)

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Answer:

$368

Step-by-step explanation:

What is 50% of $736?

50% = \(\frac{50}{100}\) = \(\frac{1}{2}\)

We Take

736 x  \(\frac{1}{2}\) = $368

So, 50% of $736 is $368.

Step-by-step explanation:

x = number of games played

c = total cost of game session

x = (c - 5)/1.25

we need to deduct the R 5 entrance fee from the total price (as this has to be paid, even if he did not pay a single game in there).

and for the remaining amount we check how often the price of 1 game fits into this renaming amount. and then we know the number of games he played.

in our specific situation c = 26.25

x = (26.25 - 5)/1.25 = 21.25/1.25 = 17

Melvin played 17 games.

The value of a/b is  \(\sqrt{6}\) / 2

The area of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.

Measurement of agricultural fields, floor areas required for purchase/selling transactions. Measurement of volumes required for packaging milk, liquids, solid edible food items. Measurements of surface areas required for estimation of painting houses, buildings, etc.

According to the question:-

Side of an equilateral triangle equals a/3.

Therefore, the equilateral triangle's area is equal to (1/2)(a/3)2 sqrt (3) / 2 = a2 [sqrt (3)/ 36].

Hexagonal side equals b / 6.

The area is thus 6 (1/2) (b/6)^2 sqrt (3) / 2 

= b^2 [ 3 sqrt (3) / 72] = b^2 [sqrt (3) / 24]

So

sqrt (3) / 36 a2 = sqrt (3) / 24 b2

So

A2 / B2 = [Sqrt(3)/24] / [Sqrt(3)/36]

a^2 / b^2 = [ 36 / 24 ]

a^2/ b^2 = 3/2

A/ B = Sqrt(3) / Sqrt(2)

=Sqrt(6) / 2

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Answer: 3.078139077

Step-by-step explanation:

Use the 1st digit 2 from dividend 2367800.

Since 2 is less than 769231, use the next digit 3 from dividend 2367800 and add 0 to the quotient.

Use the 2nd digit 3 from dividend 2367800.

Since 23 is less than 769231, use the next digit 6 from dividend 2367800 and add 0 to the quotient.

Use the 3rd digit 6 from dividend 2367800

Since 236 is less than 769231, use the next digit 7 from dividend 2367800 and add 0 to the quotient.

Use the 4th digit 7 from dividend 2367800.

Since 2367 is less than 769231, use the next digit 8 from dividend 2367800 and add 0 to the quotient.

Use the 5th digit 8 from dividend 2367800.

Since 23678 is less than 769231, use the next digit 0 from dividend 2367800 and add 0 to the quotient.

Use the 6th digit 0 from dividend 2367800.

Since 236780 is less than 769231, use the next digit 0 from dividend 2367800 and add 0 to the quotient.

Use the 7th digit 0 from dividend 2367800.

Find closest multiple of 769231 to 2367800. We see that 3×769231=2307693 is the nearest. Now subtract 2307693 from 2367800 to get reminder 60107.

Add 3 to quotient.

Quotient: 3

Reminder: 60107

It's not as difficult as it looks.

✨

Answer:

1/8

Step-by-step explanation:

\(\frac{1}{2}^3 = \frac{1^3}{2^3} = \frac{1}{8}\)