Find F(7)…………………………………………

She can recover R 90 from insurance.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

The retail value for the car is R200,000.

The excess on the policy is R4500.

So, the Excess ratio = 4500 / 200000

                                 = 2.25%

So, she can recover = 4000 x 2.25

                                 = 90

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Answer:

A

Step-by-step explanation:

With function transformation, added/subtracted numbers outside of the x always mean the function is being translated up/down. In this case, since the 2 is being replaced with a 4, the new function is 2 units higher than the previous function.

Answer:

1.125

Step-by-step explanation:

Answer:

Step-by-step explanation:

To help put this into simpler terms, we can convert 2.5 to 2 4/8,

Now we just subtract

3 5/8-2 4/8=1 1/8

Let me know if you have any questions

The probability that it is raining if the flight has been delayed is 0.07, or 7%.

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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Answer:

<A= right

<B= obtuse

<C= acute

<D= obtuse

Step-by-step explanation:

The probability that you, Shirley, and Matthew are chosen is 0.0001

Probability:

Probability refers the measure of the likelihood of an event to occur.

The formula of Probability is

Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes

Given,

Suppose that your boss must choose three employees in your office to attend a conference in Jamaica. Because all 28 of you want to go, he decides that the only fair way is to draw names out of a hat.

Here we need to find the probability that you, Shirley, and Matthew are chosen.

Here we have assuming that the selection process is fair;

We know that, the total number of employees is 28

Therefore, the probability of selecting each employee is,

=> 1/28

So, the probability of selecting yourself, Shirley, and Matthew is calculated as,

=> 1/28 x 1/27 x 1/26

=> 1/19656

=> 0.00005

When we round off it into four decimal place then we get,

=> 0.0001

Therefore, the probability that you, Shirley, and Matthew are chosen 0.0001.

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The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say that number is x,

Quotients of 20 and x will be given as 20/x

20/x - 4 = 0

20/x = 4

x = 20/4 = 5

Hence"The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5".

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Answer:

D

Step-by-step explanation:

why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.

x²

-x²

-x -x

x x x x (clearly that means 4x)

-1 -1 -1

1 1

so, we see it is D.

Answer:

41.6666% is a required percent of 48 is 20

20/48×100%=41.6666%

Answer:

Semicircle = 353.25 cm²

Step-by-step explanation:

Area of semicircle = πr²/2

substitute the values

semi circle = 3.14 × 15 × 15 / 2

Area of semicircle = 353.25 cm²

Answer:

My reasoning for saying both is because the shape is a unique plane. Bilateral symmetry is the term used for when a unqiue shape is folded in any direction and looks the same, while rotational symmetry is when a shape looks the same after a rotated half-turn.

Trick: Fold the shape by the bottom diagonal left side, folding the top left end, then do a rotational turn on the top right corner, fold in the bottom, and it shapes like a rectangle.

Answer:

Step-by-step explanation:

A for sure

Answer:

21/40.

Step-by-step explanation:

There are 3 geometry and 7 algebra books.

If the geometry book is drawn first probability = 3/10

If the second is algebra P = 7/9.

If the third is algebra P = 6/8 = 3/4.

So the probability  of all three being drawn in this order = 3/10 * 7/9 * 3/4

= 63/360

= 7/40.

Now there are a total of 3 ways in the order they are drawn, That is:

GAA

AGA

AAG.

So the required probability = 3 * 7/40

= 21/40.

use the Pythagoras theorem method

a squared plus b squared equals c square

Answer:

D.

Step-by-step explanation:

It's the most miles.

Answer:you can make around 3

Step-by-step explanation:

john can make 3 different patterns because he has 3 colors for example...

pattern 1:green,red,blue

pattern 2:red,blue,green

pattern 3:blue,red,green

Answer:Your left hand side evaluates to:

m+(−1)mn+(−1)m+(−1)mnp

and your right hand side evaluates to:

m+(−1)mn+(−1)m+np

After eliminating the common terms:

m+(−1)mn from both sides, we are left with showing:

(−1)m+(−1)mnp=(−1)m+np

If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:

(−1)(−1)mn=(−1)n.

It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:

(−1)(−1)mn=(−1)−n=1(−1)n

Multiplying both sides by (−1)n then yields:

1=(−1)2n=[(−1)n]2 which is always true, no matter what n is

The measurement closest to the area of the circle in meters is 379.94 sq. meters.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

The word "area" refers to a free space. A shape's length and width are used to compute its area. The majority of forms and things have corners and edges. When computing the area of a certain form, both the length and width of these edges are taken into account.

Given that,

diameter = 22m

radius = 22/2 = 11m

The area of the circle is:

A = πr²

Substituting the value of π = 3.14 and r = 11 we have:

A = (3.14)(11)²

A = 379.94

Hence, the measurement closest to the area of the circle in meters is 379.94 sq. meters.

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independent variable is d

dependent variable is h

therefore the equation is:

The value that cannot be the sine of an angle is  2.

What is sine function ?

The sine function is a trigonometric function that takes an angle as input and returns the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle that contains the angle.

The value of the sine function is always between -1 and 1, inclusive. Therefore, any value outside this range cannot be the sine of an angle.

To determine which of the following values cannot be the sine of an angle, we need to check if each value is within the range [-1, 1]. The values are: 0.5, -1, 1, 2.

0.5 is within the range [-1, 1], so it can be the sine of an angle.

-1 is within the range [-1, 1], so it can be the sine of an angle.

1 is within the range [-1, 1], so it can be the sine of an angle.

2 is outside the range [-1, 1], so it cannot be the sine of an angle.

Therefore, the value that cannot be the sine of an angle is d) 2.

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Using the normal distribution, it is found that the z-scores are:

a) z = -1.5

b) z = 1.9

c) z = 0

In normal distribution with mean 'μ' and the standard deviation 'σ', the z-score of a measure X is given by:

z = x-μ/σ

It measures how many standard deviations the measure is from the mean, either above the mean(positive z-score), or below(negative z-score).

For first blank: 1.5 standard deviations below the mean, hence z = -1.5.

For second blank: 1.9 standard deviations below the mean, hence z = 1.9.

For third blank: The mean is 0 standard deviations from itself, hence z = 0.

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Answer:

.08cm or 0.08cm

Step-by-step explanation:

First of all, we can see that 20mm is in millimeters, not centimeters.

If we convert the ones in centimeters to millimeters, it will result in decimals, which I want to avoid, but you could also do it that way.

There are 10 mm in 1 cm, so I multiply all of the values in cm by 10.

So now, we have that the volume is 1760mm, the length is 110mm, and the width is 20mm.

The formula for the volume of a cuboid is: \(w*l*h = volume\)

We have the width, length, and volume, so let's plug it in.

\(20*110*h=1760\)

To solve for h:

1. Multiply 20 and 100

\(2200*h=1760\)

2. Divide both sides by 2200

\(h = 1760/2200\)

3. Divide right side

h = 0.8

Keep in mind that this is in millimeters. In centimeters, it would be .08

I think the answers 3048_&8_9_)_)_

Answer:

\((x - 3)^2 + (y + 2)^2 = 16\)

Step-by-step explanation:

The equation of a circle with a center at (h, k) and radius r is given by:

\((x - h)^2 + (y - k)^2 = r^2\)

We are given that the points G(5,-2) and H(1, −2) lie on the circle. We can use the distance formula to find the distance between these two points.

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

\(d = \sqrt{(5 - 1)^2 + ((-2) - (-2))^2} = \sqrt{16} = 4\)

Therefore, the radius of the circle is 4.

We can now find the center of the circle by taking the average of the x-coordinates and y-coordinates of the points G and H.

\((h, k) = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) = \left(\frac{5 + 1}{2}, \frac{-2 - 2}{2}\right) = (3, -2)\)

Therefore, the equation of the circle is:

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

Simplifying the equation, we get:

\(\bold{(x - 3)^2 + (y + 2)^2 = 16}\) is a required equation.

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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By solving a system of equations, we will see that the parking lot is 210ft by 200ft.

For a rectangle of length L and width W, the perimeter is:

P = 2*(L + W)

And the area is:

A = L*W

Here we know that the perimeter is 820 ft and the area is 42,000 ft²

Then we can write the two equations (ignoring units).

820 = 2*(L + W)

42,000 = L*W

We can isolate L in the first equation to get:

820/2 = L + W

410 - W = L

Now we can replace that in the other equation:

42,000 = (410 - W)*W = 410*W - W^2

Now we want to solve the quadratic equation:

-W^2 + 410*W - 42,000 = 0

The solutions are given by:

\(W = \frac{-410 \pm \sqrt{410^2 - 4*(-1)*(-42000)} }{-2} \\\\W = \frac{-410 \pm 10 }{-2}\)

Then the solutions are:

W = (-410 + 10)/(-2) = 200

W = (-410 - 10)/2 = 210

If we take W = 200, then:

L = 410 - W  = 410 - 200 = 210

So we can conclude that the parking lot is 200ft by 210ft.

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Answer: C, 210 ft

Step-by-step explanation: edge :)