The two-way table shows some information about where 50 people went to university. One of these people is picked at random. Work out the probability that this person is a female who did not go to university in England.

The new function after applying the sequence of transformation include: B. 1/2f(x + 5) - 11

In Mathematics and Geometry, the translation of a graph to the left means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x + N)

Conversely, the translation of a graph downward means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) - N

Since the parent function f(x) was translated 11 units downward, 5 units to the left, and vertically compressed (making it wider) by a factor of 1/2, the equation of the image g(x), we have:

g(x) = 1/2f(x + 5) - 11

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Complete Question:

If f(x) is transformed by compressing the function vertically (making it wider) by a factor of 1/2, shifting 5 units to the left, and shifting 11 units downward, what will be the new function?

Answer:

In slope intercept form it would be y=-1/2x+3

Step-by-step explanation:

THIS IS AN EXAMPLE ON HOW TO GET SLOPE INTERCEPT FORM. start with the point slope form y-y1=m(x-x1) and solve for y. y-8=2(x-6) so y-8=2x-12, add 8 to end up with y=2x-4. 2) start with slope intercept form and solve for b, then substitute that back in: y=mx + b, so 8=2(6)+b, 8=12+b, subtract 12 to get b=-4, therefore equation is y=2x-4.

Answer:

B

Step-by-step explanation:

3 5/6 = 23/6

Reciprocal: 6/23 i hope you pass(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Answer: 20°  &  70°

Step-by-step explanation:

We know complementary angles will add up to 90° and we also know we can divide the total by 9 parts because our ratio is 2 parts to every 7 parts.

To find each individual part size...

9x=90

x=10

so use our ratio...

2x10=20  for first angle

7x10=70 for second angle

To conduct a hypothesis test to determine if the population proportion of good parts is the same for all three shifts, we can use a chi-square test for independence.

The null hypothesis states that the proportions of good parts in each shift are equal, while the alternative hypothesis states that they are not equal.
Assuming a significance level of .05, we can calculate the p-value of the test. If the p-value is less than .05, we reject the null hypothesis, indicating that there is evidence to suggest that the population proportions are not equal. On the other hand, if the p-value is greater than .05, we fail to reject the null hypothesis, indicating that there is not enough evidence to suggest that the population proportions are not equal.
After performing the test, we obtain a p-value of .02. Since this value is less than .05, we reject the null hypothesis and conclude that there is evidence to suggest that the population proportions of good parts are not equal for all three shifts. Therefore, we can conclude that there is a significant difference in the proportion of good parts produced by each shift.

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Answer:

y = 8

Step-by-step explanation:

Direct variation formula is y=kx. Plus in the known x & y values to solve for k, the constant of proportionality.

16 = k (4)   Divide by 4 to solve

4 = k

This means we multiply x by 4 to get y.

y = kx

y = 4 (2)

y = 8

The value of y in these ordered pairs  (4, 16) and (2, y) is 8.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called the constant of proportionality.

If y varies directly as x,

16 = k (4)  

Divide by 4 to solve for k

4 = k

This means we multiply x by 4 to get y.

y = kx

y = 4 (2)

y = 8

Hence, the value of y in these ordered pairs  (4, 16) and (2, y) is 8.

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The values in b are compared with the true volume. And we conclude that b is precise and accurate.

Accuracy determines how closely measured values match the actual value. The degree to which two measured values are inside a certain range, or how closely they agree, is called precision.

First calculate the mean of a, b, and c. We get, the mean of a is 87.63, the mean of b is 87.06, and the mean of c is 87.77.

From the values in "a", we can tell there is no good agreement between the given values, and just one (87.1) value is near to the true value. So a is neither precise nor accurate.

From the values in "b", we can tell these given values are reasonably close to the true value and exhibit good agreement. So b is precise and accurate.

From the values in "c", we can tell there is a considerable agreement between the given values but they are not very close to the true value. So c is precise but not accurate.

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Answer:

  x ≈ 95.6

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and sides of a right triangle. Here, the hypotenuse of the triangle and the side adjacent to the given angle are marked, so the relationship of choice is ...

  Cos = Adjacent/Hypotenuse

__

Using the values shown, we have ...

  cos(15°) = x/99

Solving for x gives ...

  x = 99·cos(15°) ≈ 95.6

The length of the side marked x is about 95.6 units.

Answer:

length: 30 meters

width: 12 meters

Step-by-step explanation:

2(a+b) = 84

a = 2b + 6

a = length

b = width

then:

2((2b+6)+b) = 84

2b + 6 + b = 84/2

3b + 6 = 42

3b = 42 - 6

3b = 36

b = 36/3

b = 12

a = 2b + 6

a = 2*12 + 6

a = 24 + 6

a = 30

Check:

84 = 2(12+30)

84 = 2*42

The graph of the parent absolute value function is decreasing over the interval (-∞, 0). The function exhibits a decreasing behavior as x moves from negative infinity towards zero, where the absolute value decreases.

The parent absolute value function is defined as f(x) = |x|. To determine where the graph of this function is decreasing, we need to identify the intervals where the function's slope is negative.

Let's analyze the behavior of the parent absolute value function:

For x < 0, the function can be rewritten as f(x) = -x. In this interval, the function is a linear function with a negative slope of -1. As x decreases, f(x) also decreases, indicating a decreasing behavior.

For x > 0, the function remains f(x) = x. In this interval, the function is a linear function with a positive slope of 1. As x increases, f(x) also increases, indicating an increasing behavior.

At x = 0, the function is not differentiable since the slope changes abruptly from negative to positive. However, it is worth noting that the function does not strictly decrease or increase at x = 0.

Therefore, we can conclude that the graph of the parent absolute value function is decreasing over the interval (-∞, 0).

In this interval, as x moves from negative infinity towards zero, the function values decrease. The farther away x is from zero (in the negative direction), the larger the absolute value, resulting in a decrease in the function values.

On the other hand, the graph of the parent absolute value function is increasing over the interval (0, ∞), as explained earlier.

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To write an expression for a rectangular prism whose length is 2 inches more than twice the width, and the height is 3 inches more than the length, we need to use the variables x, y, and z where x represents the width of the prism, y represents the length, and z represents the height.

Therefore, we can write;

Let x = the width of the prism

y = 2x + 2 (because the length is 2 inches more than twice the width)

x + 2y + 3 = z (because the height is 3 inches more than the length)

Thus, the expression for the rectangular prism can be written as follows:

x(width) = x y(length)

             = 2x + 2height

             = 3 + 2x + 2 + x

             = 3x + 5

As a result, the rectangular prism can be expressed as  

x by 2x + 2 by 3x + 5,

where x represents the width of the prism, 2x + 2 represents the length, and 3x + 5 represents the height of the prism.

The expression provides information on the dimensions of the rectangular prism and can be used to find its volume.

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Answer:

D

Step-by-step explanation:

Answer:

Your answers are 9 and 18/2 :)

Hope this helps!

When considering all earthquakes around the world per year, earthquakes with a magnitude of 3 occur about as half as earthquakes of a magnitude 6.

Earthquakes (also known as quakes, tremors or tremors) shake the Earth's surface caused by seismic waves generated by a sudden release of energy from the Earth's lithosphere. Earthquakes range in magnitude from weak and imperceptible tremors to those strong enough to knock objects and people through the air, damage critical infrastructure and wreak havoc on entire cities. Seismicity in an area refers to the frequency, type, and magnitude of earthquakes that occur during a specified period of time. Seismicity at a particular location on Earth is the average rate at which seismic energy is released per unit volume. The term tremor is also used for non-seismic earthquakes.

On the surface of the Earth, earthquakes appear as shaking, displacement or disturbance of the ground. When the epicenter of a large earthquake is offshore, the displacement of the seabed is sufficient to generate a tsunami. Earthquakes can also cause landslides.

In its most general sense, the term earthquake is used to describe any seismic event - whether natural or man-made - that produces seismic waves. Earthquakes are mainly caused by the rupture of geological faults, but are also caused by other events such as volcanic activity, landslides, mine explosions and nuclear tests.

The initial breaking point of an earthquake is called epicenter or epicenter. The epicenter is the point on the ground directly above the source of the earthquake.

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To express x and y in terms of trigonometric ratios of θ, we need to use the definitions of sine, cosine, and tangent ratios.

Let's assume that θ is an acute angle in a right triangle with hypotenuse of length 1. Then, we have:

sin θ = opposite/hypotenuse = y/1 = y
cos θ = adjacent/hypotenuse = x/1 = x
tan θ = opposite/adjacent = y/x

Therefore, we can express x and y in terms of trigonometric ratios of θ as follows:

x = cos θ
y = sin θ

Alternatively, if we are given the value of one trigonometric ratio and we need to find the others, we can use the Pythagorean identity:

sin^2 θ + cos^2 θ = 1

From this, we can derive:

cos^2 θ = 1 - sin^2 θ
sin^2 θ = 1 - cos^2 θ

And then use the definitions of tangent and cotangent ratios:

tan θ = sin θ/cos θ
cot θ = cos θ/sin θ = 1/tan θ

Hope this helps!
To express x and y in terms of trigonometric ratios of θ, we will use the basic trigonometric ratios: sine (sin), cosine (cos), and tangent (tan). In a right-angled triangle, we have:

1. sin(θ) = opposite side / hypotenuse
2. cos(θ) = adjacent side / hypotenuse
3. tan(θ) = opposite side / adjacent side

Assuming x is the adjacent side and y is the opposite side in relation to angle θ, and the hypotenuse is denoted by r, we can express x and y in terms of trigonometric ratios of θ as follows:

Step 1: Solve for x using the cosine ratio:
x = r * cos(θ)

Step 2: Solve for y using the sine ratio:
y = r * sin(θ)

So, x and y are expressed in terms of trigonometric ratios of θ as x = r*cos(θ) and y = r*sin(θ).

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Answer:

6x+3

yep hellooo he looo hey it's sksksn she's. d e s f e. s

Answer:

im confused as if the question but,

you know what to do and if you want you can post more of the question if there is more but ye,

your welcome

Step-by-step explanation:

x=2(for the example)

so,

2+3+5x2=

PEMDAS

5x2=10

2+3=5

soo,

10+5=15

The height of the PEMEX tower is  287.6 meters if She walks towards the tower 500m and finds that the angle is 60 degrees.

The angle of elevation = 30 degrees

Walking distance = 500m

The angle of elevation after walking  = 60 degrees

When Pamela is  500 meters away from the tower, the tangent of the angle of elevation is calculated as:

tan(30°) = h / 500

h = 500 * tan(30°)

h = 500 * 0.5774

h = 288.7 meters

After walking 500m,

tan(60°) = h / d

h = d * tan(60°) ---------equation 1

The new distance between her and the tower is:

d = 500 - x

Using the tangent function with an angle of 60 degrees, the equation can be written as:

h = (500 - x) * tan(60°)

500 * tan(30°) = (500 - x) * tan(60°)

288.7 = (500 - x) * 1.732

166.5 = 500 - x

x = 333.5 meters

Substituting this value of x  in equation 1:

h = (500 - 333.5) * tan(60°)

h = 166.5 * 1.732

h = 287.6 meters

Therefore, we can conclude that the height of the tower is 287.6 meters.

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The complete question is-

Pamela wants to calculate the height of a PEMEX tower. She observes that the angle of elevation to the top of the tower is 30 degrees. She walks towards the tower 500m and finds that the angle is now 60 degrees.

Answer:

(m+n)(m-3)

Step-by-step explanation:

Answer:

x = 9.238 y = 4.619

Step-by-step explanation:

I kind of forgot how to do sohcahtoa but we do cosine for one of them. I used a calculator but the lengths seems reasonable so I'm sure they should be right.

Answer:

25 miles per gallon

Step-by-step explanation:

Miles per gallon is the same as: \(\frac{miles}{gallon}\). The graph shows that when 2 gallons of gasoline are used, 50 miles are driven. So you would do \(\frac{50}{2}\), which is 25.

Hope it helps!

The car gets 25 miles per gallon, as shown in the graph.

As mentioned in the question, the graph below shows the distance a car can travel, y, using gallons of gasoline.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Since the graph shows the linear function passing through the origin,
For an instance,
Distance traveled = 200
Fuel consumed = 8 gallons
Rate = 200 / 8
Rate = 25 miles per gallon,

Thus, the car gets 25 miles per gallon, as shown in the graph.

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Correct statements are:

a) A square can be thought of as a special rectangle.

d) Squares, rectangles, and parallelograms are all quadrilaterals.

e) A square is also a parallelogram.

Incorrect statements are:

b) A rectangle cannot be thought of as a special parallelogram. A rectangle is a special type of quadrilateral, but it does not have the same properties as a parallelogram.

c) A square cannot be thought of as a special rhombus. While a square is a special type of rhombus, not all rhombuses are squares.

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Answer:

t=(v-u)/a

hope it will help you

Answer:

3x

Step-by-step explanation:

Answer:

3x

Step-by-step explanation:

1+2=3

so 1X+2x=3x

Answer:

Proportional

Explanation:

First, we find the unit rate for each of the pairs of points.

Since the unit rates are the same all though, her earnings are proportional to the number of hours she works.

Answer:

LM = √34

Step-by-step explanation:

L is at (-7, 4), and M is at (-2, 1).

LM

\( \sqrt{ {( - 7 - ( - 2))}^{2} - {(4 - 1)}^{2} } \)

\( \sqrt{ {( - 5)}^{2} + {3}^{2} } = \sqrt{25 + 9} = \sqrt{34} \)

Answer:

y-2x=4

Step-by-step explanation:

the slope is 2

the opposite reciprocal is -1/2

2/1 = 2

Answer:

Option (4)

Step-by-step explanation:

Coordinates of the vertices of the given trapezoid,

A(-9, 4), B(-4, -3), C(2, -4), D(9, 1) and E(-3, 3)

Perimeter of ABCD = length of AB + length of BC + length of CD + length of DA

Length of AB = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

                      = \(\sqrt{(-9+4)^2+(4+3)^2}\)

                      = \(\sqrt{25+49}\)

                      = \(\sqrt{74}\)

Length of BC = \(\sqrt{(-4-2)^2+(-3+4)^2}\)

                      = \(\sqrt{36+1}\)

                      = \(\sqrt{37}\)

Length of CD = \(\sqrt{(2-9)^2+(-4-1)^2}\)

                      = \(\sqrt{49+25}\)

                      = \(\sqrt{74}\)

Length of DA = \(\sqrt{(-9-9)^2+(4-1)^2}\)

                      = \(\sqrt{324+9}\)

                      = \(\sqrt{333}\)      

Perimeter of ABCD = \(\sqrt{74}+\sqrt{37}+\sqrt{74}+\sqrt{333}\)

                                = \(\sqrt{74}+\sqrt{37}+\sqrt{74}+3\sqrt{37}\)

                                = \(4\sqrt{37}+2\sqrt{74}\)

Therefore, Option (4) will be the answer.

An example of a convergent series (exn) and a divergent series (eyn) such that the product series e(xn * yn) is convergent.

EXPLANATION:

Let's consider the following two series:

1. Convergent series (exn): xn = 1/n^2
2. Divergent series (eyn): yn = n

Now, let's analyze the product series e(xn * yn):

e(xn * yn) = (1/n^2) * n = 1/n

The product series e(xn * yn) is a harmonic series, which is a convergent series.

In this example, the convergent series (exn) is the series of 1/n^2, the divergent series (eyn) is the series of n, and their product series e(xn * yn) is the harmonic series (1/n), which is convergent.

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