Suppose a one year subscription to a magazine cost $12.99 and a three-year subscription cost $25.98 the cost and length of the subscription are related write an equation to a model the cost of a subscription for any period of time

Answer:

The answer is H. 6

Step-by-step explanation:

The greatest water depth is 12 and the lowest water depth is 6

12-6=6

H. 6  

Answer:

k

Step-by-step explanation:

It’s the deepest dept

In order to construct a Venn diagram for a survey, first enter the cardinality of the universal set to obtain subsequent cardinalities.

The universal set is the set of all possible outcomes, and the cardinality of a set is the number of elements in the set. Once you have the cardinality of the universal set, you can use it to calculate the cardinality of any other set in the survey.

For example, if the universal set has a cardinality of 100, and the survey asks people whether they like dogs or cats, you can calculate the number of people who like dogs by subtracting the number of people who like cats from the total number of people surveyed.

In order to construct a Venn diagram, you will need to draw two or more circles, each representing a set in the survey. The circles should be overlapping to represent the sets that have members in common.

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In order to construct a Venn diagram for a survey, first enter the cardinality of the to obtain subsequent cardinalities region. Then use

Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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The intervals would contain approximately 95% of the measurements will be (120, 280). Then the correct option is C.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

In numerical documentation, these realities can be communicated as follows, where Pr(X) is the likelihood capability, Χ is a perception from an ordinarily circulated irregular variable, μ (mu) is the mean of the dispersion, and σ (sigma) is its standard deviation:

The interval for 95% will be given as,

Pr(X) = μ ± 2σ

Pr(X) = 200 ± 2(40)

Pr(X) = 200 ± 80

Pr(X) = (200 - 80, 200 + 80)

Pr(X) = (120, 280)

The intervals would contain approximately 95% of the measurements will be (120, 280). Then the correct option is C.

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Answer:

25. -7/5 \(\leq\) x \(\leq\) 1

Step-by-step explanation:

18:

\(5-|x|\leq 2\\-|x| \leq -3\\|x|\leq 3\\x\geq -3\)or       \(x\leq 3\)

25:

\(3|5x+1|-6\geq 12\\3|5x+1|\geq 18\\|5x+1|\geq 6\\x\leq -7/5\)or               \(x\geq 1\)

\(-7/5\leq x\leq 1\)

I don't think I explained this well let me know if you need more explanation.

Answer:

I think the answer is A

Step-by-step explanation:

makes sense

Answer:

No triangle can be formed with these angles.

Step-by-step explanation:

There must be  180 degrees in a triangle.

32 + 126 + 32

= 126 + 64

= 190 degrees - so this cannot form a triangle.

Answer:

a triangle cant be formed with the angles

Step-by-step explanation:

Answer:

10 + 2x

Step-by-step explanation:

we you started with 10 and you're adding 2 everytime

x = the number of times you do this

10 + 2x

Answer:

2n + 8

=> 10, 12 , 14, 16, 18, 20, 22, 24, ...

6

Step-by-step explanation:

B1=6

B2=3

A=1/2

A=27

H=?

A=1/2h(6+3)

A=1/2h(9)

A=9/2

27=4.5

H=27/4.5

H=6

A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.

One possible set could be 3 cm, 4 cm, and 5 cm.

To verify if this set forms a right triangle, we can apply the Pythagorean theorem.

Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.

Adding these two values together gives us 25.

Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.

It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.

There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.

These sets are known as Pythagorean triples.

Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.

In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

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Answer:

\(9 < \sqrt{90} < 10\)

Step-by-step explanation:

Since \(9^2=81 < 90\) and \(10^2=100 > 90\), then \(9 < \sqrt{90} < 10\)

Answer:

a. 15L will last the cafe 3 days if they're using 4L every day

b. 15L will last them 7 days if they're using 2L every day

Step-by-step explanation:

division.

After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.


In order to  calculate the area to the left of z=2.09 we have to  apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.

Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:

1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is  87.6
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9514 1404 393

Answer:

  a) x = -3

  b) y = (28/27)x -27

Step-by-step explanation:

a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...

  x = constant

For 2nd Ave to intersect the point (-3, 1), the constant must match that x-coordinate. The equation is ...

  x = -3

__

b) Since Ace Rd is perpendicular to Davidson St, its slope will be the opposite reciprocal of the slope of Davidson St. The slope of Ace Rd is ...

  m = -1/(-27/28) = 28/27

Using the point-slope equation for a line, we can model Ace Rd as ...

  y -y1 = m(x -x1)

  y -1 = (28/27)(x -27)

  y = (28/27)x -27

Answer: - 21/16 = 15/16 (simplified)

= - 1.3125 convert decimal to fraction

= - 13125/10000

= - 21/16 = 15/16  (simplified)

Answer:

$33

Step-by-step explanation:

44 x 0.25 = 11

44 - 11 = 33

Looking at the given diagram, line l is parallel to line m and a transversal cuts through both lines. Also, angle (6y + 29) and angle (8x + 1) are linear pairs. They lie on a straight line. Recall, the sum of the angles on a straight line is 180 degrees. This means that

6y + 29 + 8x + 1 = 180

8x + 6y = 180 - 29 - 1

8x + 6y = 180 - 30

8x + 6y = 150 equation 1

Again,

The angle vertically opposite angle 10x - 17 can be represented by x as shown in the diagram below. The angle vertically opposite angle 8x + 1 is also represented by y.

Vertically opposite angles are equal. this means that angle x = 10x - 17. This also means that y = 8x + 1

Also, angle x and angle y are alternate external angles because the lie on opposite sides of the transversal and outside the parallel lines. Alternate angles are equal. It means that

10x - 17 = 8x + 1

10x - 8x = 1 + 17

2x = 18

x = 18/2

x = 9

Substituting x = 9 into equation 1, it becomes

8 * 9 + 6y = 150

72 + 6y = 150

6y = 150 - 72 = 78

y = 78/6

y = 13

x = 9, y = 13

ANSWERS

• sin(θ) = 15/17

• cos(θ) = 8/17

• sec(θ) = 17/8

EXPLANATION

The tangent of an angle is the ratio between its opposite side and its adjacent side,

We can use a right triangle because we know that the angle is between 0 and π/2.

If the tangent of the angle is 15/8, this means that the length of the opposite side is 15 while the length of the adjacent side is 8. Using the Pythagorean theorem, we can find the length of the hypotenuse,

The sine and cosine are,

The secant is the reciprocal of the cosine,

Answer:

75%

Step-by-step explanation:

Answer:

75% increase

Step-by-step explanation:

Answer:

The correct answer is Census

Step-by-step explanation:

According to the given scenario, the record for each and every individual with respect to the population who has the interest is known as the census. The census means the information received for each and every population member

Therefore as per the given situation, the term that should be used is census

The percentage change in GDP is 2.04%

Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.

The formula of percentage change is given as

Percentage change =[ (New increase - old value) / old value] * 100

Percentage change = [(14.72 - 14.42) / 14.72] * 100

Percentage change = 2.04%

In this case, there is a percentage decrease of 2.04%

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Answer:

List all of the solutions.

T

y

=

4

=

2

=

x

=

−

2

=

2

=

4

=

4

=

Step-by-step explanation:

The domain of the function is real numbers and range is from -2 to +2.

The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f(x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value.

The domain takes all of the potential input values from the set of real numbers, while the range takes all of the function's output values.

The domain is the x values operate, often known as the horizontal axis.

Here we have the parabola function x².

Then, the domain of all parabolic functions is all real numbers.

The Range is y values on the vertical axis.

As, from the graph there is no point below 2 .

Then, the range of the function is from -2 to +2.

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Answer:

Step-by-step explanation:

3.50-g=$1.25 solve the equation and check your solution ​

3.5 - g = 1.25

g = 3.5 - 1.25

g = 2.25

----------------

check

3.5 - 2.25 = 1.25

1.25 = 1.25

the answer is good

Answer:

Yeah that's correct.

Step-by-step explanation:

You're welcome I'm so high

Using the binomial distribution, it is found that the probabilities are:

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

Exercise 1:

The parameters are:

n = 15, p = 0.4, x = 4.

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 4) = C_{15,4}.(0.4)^{4}.(0.6)^{11} = 0.1228\)

Exercise 2:

The parameters are:

n = 12, p = 0.2, x = 2.

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{12,2}.(0.2)^{2}.(0.8)^{10} = 0.2835\)

Exercise 3:

The parameters are:

n = 20, p = 0.05.

The probability is:

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)

Using the binomial formula for each value and adding them:

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9841\)

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Answer: Quadrilateral

Step-by-step explanation:

hexagon: 6 sides

octagon: 8 sides

quadrilateral: 4 sides

triangle: 3 sides

The quadrilateral is the only one that makes sense.