Is Figure B a scale copy of Figure A?

Answer:

11/1024.

Step-by-step explanation:

Binomial Probability distribution.

This is the probability of 9 tails or 10 tails being flipped.

Prob ( 10 tails) = (1/2)^10 = 1/1024

Prob ( 9 tails) = 10C9 * 1/2^9* 1/2 = 5/512

Required probability =  1/1024 + 5/512

= 11/1024.

Answer:

Adult tickets= 390

Student ticket= 410

Step-by-step explanation:

4A + 2.5S= 2585

A+ S = 800

A= 800-S

Substitute into the first equation

Answer:

3rd choice: sec(a) = 1.06

Step-by-step explanation:

sec(a) = (hypotenuse)/(adjacent leg)

The statement that is accurate for the right triangle shown below is C. sec(a) = 1.06

The accurate statement is the one that can help us arrive at the correct angle in the diagram. That is sec(a) = 1.06. The formula is given as follows:

(hypotenuse)/(adjacent)

In the question we have, the hypotenuse is 50 while the adjacent is 47. Note that the hypotenuse is the longest side of the triangle, and the adjacent is often represented by the base.

So, we have;

50/47 = 1.06

Thus to find the angle for alpha in the triangle shown, the right statement would be; sec(a) = 1.06.

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Answer:

25

Step-by-step explanation:

Answer:-0.16666666666

Step-by-step explanation:

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

So you already know that 34 is 34 stories in length.

Positive means: up, forward

Negative means: down, backward

Since the elevator is going down 34 stories, it is negative.

An elevator ride down 34 stories can be represented as -34 or negative 34.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

The required  integer is -34.

It is required to find the integer.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

Positive means: up, forward

Negative means: down, backward

Since the elevator is going down, the situation is represented by a negative integer. Since it goes down 34 stories, then it is represented by the integer −34.

Therefore, the required  integer is -34.

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To solve quadratic equation using factorisation

(a)

(b)

(c)

Answer:

239 miles per gallon for a round trip.

Step-by-step explanation:

you'd need to achieve 238,900 / 2000 = 119.5 miles per gallon for a one way trip,

The altitude of Polaris, also known as the North Star, refers to its angle above the horizon when observed from a specific location on Earth.

The altitude of Polaris varies depending on the observer's latitude.

For an observer at the North Pole (latitude 90 degrees), Polaris appears directly overhead, at an altitude of 90 degrees. This means Polaris is at the zenith, the highest point in the sky.

For observers at other latitudes in the Northern Hemisphere, Polaris will appear lower in the sky. The altitude of Polaris is equal to the observer's latitude. For example, if you are at a latitude of 40 degrees north, Polaris will have an altitude of approximately 40 degrees above the horizon.

It's important to note that the altitude of Polaris remains relatively constant throughout the night and throughout the year due to its proximity to the celestial north pole. This makes it a useful navigational reference point for determining direction and latitude in the Northern Hemisphere.

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Answer:

0.43 cubic yards

Explanation:

We know that 1 cubic yard is equivalent to 46656 cubic inches. So, we can convert 19845 cubic inches into cubic yards as:

Therefore, the answer is 0.43 cubic yards

An estimate for the number of blue marbles in the bag would be 30. To estimate the number of blue marbles in the bag, we can use the proportion of blue marbles in the sample of 10 marbles picked by John.

Since 3 out of 10 marbles are blue, we can estimate that 30 out of 100 marbles (which is equivalent to 30%) are blue. Therefore, an estimate for the number of blue marbles in the bag would be 30% of the total number of marbles in the bag, which is 200, resulting in an estimate of 60 blue marbles in the bag.

However, it's important to note that this is just an estimate and not a precise calculation, as the actual number of blue marbles in the bag may vary. To get a more accurate estimate, we can repeat the sampling process multiple times and calculate the average proportion of blue marbles, or we can use statistical methods such as confidence intervals.

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Answer:

5 3/8

Step-by-step explanation:

2 5/8+ 2 3/4= 5 3/8

2+2+ 5/8+6/8= 5 3/8

4+11/8= 5 3/8

5 3/8=5 3/8

Answer:

5 3/8

Step-by-step explanation:

Rewriting our equation with parts separated

=2+5/8+2+3/4

Solving the whole number parts

2+2=4

Solving the fraction parts

5/8+3/4=?

Find the LCD of 5/8 and 3/4 and rewrite to solve with the equivalent fractions.

LCD = 8

5/8+6/8=11/8

Simplifying the fraction part, 11/8,

11/8=1 3/8

Combining the whole and fraction parts

4+1+3/8=5 3/8

Answer:

PT = 17

Step-by-step explanation:

Since T is the midpoint of PQ, then

PT = TQ , substitute values

4x + 5 = 8x - 7 ( subtract 4x from both sides )

5 = 4x - 7 ( add 7 to both sides )

12 = 4x ( divide both sides by 4 )

3 = x

Thus

PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17

Answer:

17

Step-by-step explanation:

since T is mid point of PQ

PT=TQ

\(4x + 5 = 8x - 7 \\ 5 + 7 = 8x - 4x \\ 12 = 4x \\ x = 12 \div 4 \\ x = 3 \\ \)

so

\(pt = 4x + 5 \\ = 4(3) + 5 \\ = 12 + 5 \\ pt = 17\)

Answer:

8) 92.31

9) 9

10) 60%

11)  70

12)  8%

13) By using the formula given. multiplying by 100 and dividing or dividing and then multipling.

The function m(x) = -1/2sin(x) has the following transformations from the parent function m(x) = sin(x):
Vertical stretch by a factor of 1/2. Reflection over the x-axis
These are the shifts that occur in the given function compared to the parent function.

The sign of the coefficient -1/2. Since it is negative, it reflects the graph of the parent function over the x-axis. This means that all the y-values of the function are multiplied by -1, which results in the graph being flipped upside down.
The horizontal shift of the function, we need to set the argument of the sine function, x, equal to 0 and solve for the shift. In this case, we have:
m(x) = -1/2sin x
m(0) = -1/2sin 0
m(0) = 0
The graph of the function does not shift horizontally, but rather remains centered at the origin.
No transpositions of the function, since there are no changes in the sign or coefficient of the argument x.
- Vertical shift by 0
- Horizontal shift by 0
- Vertical stretch by 1/2
- Reflect over x-axis
- Reflect over y-axis (although this is not explicitly stated, since a reflection over the x-axis is equivalent to a reflection over both the x and y axes)
The function m(x) = -1/2sin x has a smaller amplitude, is upside down, and is vertically stretched by a factor of 1/2 compared to the parent function m(x) = sin x. It is also reflected over the x-axis and remains centered at the origin.

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Answer:

x²+y²=225

Step-by-step explanation:

when centered at the origin the equation of a circle is x²+y²=r²

we are given x and y so 9²+12²=r²

\(r^{2} =9^{2} +12^{2}\\ =81+144\\ =225\)

The profit calculations provided include information on marginal revenue (MR), market price, marginal cost (MC), total revenue, quantity, and total cost. The market price is stated as $30.00, while the marginal cost is slightly higher at $30.16. The total revenue is given as $1,950.00, and the quantity is listed as 65.

However, the total cost is not provided in the given information. To determine the profit, the total cost would need to be subtracted from the total revenue. Without the total cost, a definitive profit calculation cannot be made.

To calculate profit, the total cost needs to be deducted from the total revenue. Unfortunately, the total cost is not provided in the given information, so a precise profit calculation cannot be determined. Profit represents the financial gain obtained by subtracting the total cost of production from the total revenue generated. If the total cost is lower than the total revenue, a profit is generated, while if the total cost exceeds the total revenue, a loss is incurred. In this case, without knowledge of the total cost, it is not possible to determine the profit or loss incurred from the given information.

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The number a + b i, where b = 0, is an example of an imaginary number.

In mathematics, a complex number is a number that can be expressed in the form a + b i, where a and b are real numbers, and i is the imaginary unit defined as the square root of -1. A complex number consists of a real part (a) and an imaginary part (b i).

However, when the imaginary part (b) is equal to zero, the complex number reduces to just the real part (a). In this case, there is no contribution from the imaginary unit (i), and the number becomes purely real.

On the other hand, an imaginary number is a complex number where the real part is equal to zero. It has the form 0 + b i, where b is a non-zero real number. Imaginary numbers are often denoted as bi, where b represents the magnitude of the imaginary part.

Since the given number has b = 0, which means the imaginary part is zero, it falls under the category of an imaginary number. In this case, the number is simply a real number, without any contribution from the imaginary unit.

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The area of the border between the two rectangles is 40 units^2

The new rectangle will have the dimensions  of (7 + 2) x (11 + 2)  =  9 x 13

So....the area between them is just  

The equation for calculating a rectangle's area. Rectangle's surface area. A = l × b. Once the length and breadth of a rectangle are known, its area may be computed.

The area of the rectangle is obtained in a square-unit dimension by multiplying length and width.

( 9 * 13) - (11 * 7 )  =

117 - 77 =

40 units^2

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Answer:  -3 bc the exponent is adding -1 each time

Answer: -3 for the exponent box

Step-by-step explanation: Hi there! Let's get started.

We know that a negative exponent is going to decrease by a power of 10 every time for example 10 x 10^-1 = 1 because the -1 says we need to move the decimal point one to the left.

So with this we take 2.345 x 10^-3 = 0.002345.

We moved the decimal point 3 to the left from 2.345 to get 0.002345.

Hope this helps! :)

Answer:50%

Step-by-step explanation:

Answer:

$7.2

Step-by-step explanation:

Given data

Weight = 1 1/4

convert to simple fraction= 5/4 pounds

The cost of 5/4 pounds of package = $9

Let us find the cost per pound

cost per pound = 9/5/4

multiply by the multiplicative inverse of the denominator

cost per pound = 9*4/5

cost per pound = 36/5

cost per pound = $7.2 per pound

Hence the cost of 1 pound of the package is $7.2

The likelihood of striking a 6 on the this unbalanced die is therefore 1, or 100%.

A reasonable transaction result in money, products, or services. 2.: The monetary value of anything. 3.: value, usefulness, or significance in relation to anything else

As the die has only 6 sides, the probability of rolling a 6 is denoted by P(6). Let's use the formula of expected value to find P(6).

The expected value of the die is given by:

E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 21/6 = 3.5

We know that the expected value of the entire die is 4. Therefore, the expected value of the additional bonus for rolling a 6 is:

E(Y) = 4 - E(X) = 4 - 3.5 = 0.5

Since the bonus value can only be obtained by rolling a 6, the probability of getting a 6 is equal to the probability of obtaining the bonus value of 0.5. Hence, we have:

P(6) = P(Y = 0.5) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

Since the numbers 1-5 are equally likely to occur, we have:

P(X = 1) = P(X = 2) = P(X = 3) = P(X = 4) = P(X = 5) = 1/5

Therefore,

P(6) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 5/5 = 1

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The equation of the graphed parabola is y=a (x + 3) ^2 -4.

Given that parabola is plotted, concave upwards, with vertex located at coordinates (-3, -4).

   According to the question, we need to find the equation of the graphed parabola.

The equation of a quadratic function of vertex (h, k) is given by y=a + k

In the above equation the leading coefficient is "a"

We are given point (-3, -4).

We need to put the value of h=-3 and k=-4 and the required equation, and we will get the equation as: -

y=a (x + 3) ^2 -4

    Therefore, the equation of the parabola that is plotted, concave up, with vertex located at coordinates (-3, -4) is y=a (x + 3) ^2 -4.

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Answer:

The mean absolute deviation of the following set of data is 4.5

Step-by-step explanation:

We need to find the mean absolute deviation of the following set of data.

10,20,12,4,18,8,14,18

For finding mean absolute deviation, first we need to find the mean of the given data set.

The formula used to calculate mean is: \(Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\)

Sum of all data points: 10+20+12+4+18+8+14+18 = 104

Number of data points = 8

So, mean is:

\(Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{104}{8}\\Mean=13\)

Now, we will subtract 13 from the given data points:

10  - 13 = -3

20  - 13 = 7

12  - 13 = -1

4  - 13 = -9

18  -13 = 5

8  - 13 = -5

14  - 13 = 1

18 - 13 = 5

We will take absolute values i.e |-a|=a

So, now the numbers will be:

3,7,1,9,5,5,1,5

We will now find absolute mean deviation by finding mean of newly calculate values

Sum of all data points = 3+7+1+9+5+5+1+5

Number of data points = 8

\(Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{36}{8}\\Mean=4.5\)

So, the mean absolute deviation of the following set of data is 4.5

Answer:

Subtraction

Step-by-step explanation:

First, use inverse operations (subtraction) to get the term that includes a variable, by itself on one side of the equal sign.

Answer- 9 shelves

In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.

HOPE THIS HELPS & GOOD LUCK!

Answer:

A

Step-by-step explanation:

Answer:

independent

Step-by-step explanation: