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3 years ago

What is the value of x?

Mathematics

1 answer:

nalin [4]3 years ago

4 0

Answer:

x = 42.9 m

Step-by-step explanation:

Corresponding sides of similar triangles MAB and MNP are proportional. This means ...

x/MP = MA/MN

However, we don't have a number for MA yet, so we need to find it.

MA +AN = MN

MA = MN - AN subtract AN

MA = 67.2 m - 32 m = 35.2 m

Now, we can use this to find x.

x = MP · (MA/MN) = (81.9 m) · 35.2/67.2

x = 42.9 m

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Let f(x)=−x√3 . What is the average rate of change of f(x) from 8 to 64?

Fed [463]

Average rate of change of the function: $-\sqrt{3}$

Step-by-step explanation:

The average rate of change of a function f(x) can be calculated as:

$r=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

where:

$x_1, x_2$ are the x-values of the interval taken into account to evaluate the rate of change of the function

$f(x_1),f(x_2)$ are the values of the function at those points

In this problem, we have:

$x_1=8\\x_2=64$

The function is $f(x)=-x\sqrt{3}$ , so

$f(x_1)=f(8)=-8\sqrt{3}\\f(x_2)=f(64)=-64\sqrt{3}$

So, the average rate of change in this interval is:

$r=\frac{-64\sqrt{3}-(-8\sqrt{3})}{64-8}=\frac{-56\sqrt{3}}{56}=-\sqrt{3}$

Learn more about rates of change:

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5 0

3 years ago

Five thousand tickets are sold at $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded a

aksik [14]

Answer:

the expected value of this raffle if you buy 1 ticket = -0.65

Step-by-step explanation:

Given that :

Five thousand tickets are sold at $1 each for a charity raffle

Tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $500, 3 prizes of $300, 5 prizes of $50, and 20 prizes of $5.

Thus; the amount and the corresponding probability can be computed as:

Amount Probability

$500 -$1 = $499 1/5000

$300 -$1 = $299 3/5000

$50 - $1 = $49 5/5000

$5 - $1 = $4 20/5000

-$1 1- 29/5000 = 4971/5000

The expected value of the raffle if 1 ticket is being bought is as follows:

$E(x) = \sum x * P(x)$

$E(x) = (499 * \dfrac{1}{5000} + 299 *\dfrac{3}{5000} + 49 *\dfrac{5}{5000} + 4 * \dfrac{20}{5000} + (-1 * \dfrac{4971}{5000} ))$

$E(x) = (0.0998 + 0.1794+0.049 + 0.016 + (-0.9942 ))$

$E(x) = (0.3442 -0.9942 )$

$\mathbf{E(x) = -0.65}$

Thus; the expected value of this raffle if you buy 1 ticket = -0.65

7 0

3 years ago

I don't know how to do this someone pleasr help me

mars1129 [50]

Alright finding the mean of the set is pretty simple,
first add all the numbers that you were given.
0+2+3+4+6+6+7 add these up
28 then you need to divide them by
you divide by 7 because that's how many numbers you have
28 divided by 7 equals 4
so Sandy is correct.

3 0

3 years ago

Read 2 more answers

A jar contains 12 red marbles numbered 1 to 12 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. F

klasskru [66]

Answer:

Step-by-step explanation:

Step one:

given data

sample space

red marbles= 12

blue marbles= 10

sample size= 12+10

sample size= 22

Step two:

Required

Find the probability of the given event. (a) The marble is red

Let the probabiilty be P(R)

P(R)= 12/22

P(R)= 6/11

8 0

3 years ago

On a coordinate plane, 2 quadrilaterals are shown. The first figure has points A (negative 2, 1), B (negative 4, 1), C (negative

Afina-wow [57]

The rule of reflection is ry-axis (x , y) → (-x , y) ⇒ 2nd answer

Step-by-step explanation:

Let us revise some transformation

If point (x , y) reflected across the x-axis , then its image is (x , -y) , the rule of reflection is rx-axis (x , y) → (x , -y)
If point (x , y) reflected across the y-axis , then its image is (-x , y) , the rule of reflection is ry-axis (x , y) → (-x , y)

∵ The first quadrilateral has vertices

A (-2 , 1) , B (-4 , 1) , C (-4 , 5) , D (-2 , 4)

∵ The second quadrilateral has vertices

A' (2 , 1) , B' (4 , 1) , C' (4 , 5) , D' (2 , 4)

- The x-coordinates of point A' , B' , C' , D' have the same values

and opposite signs of the x-coordinates of points A , B , C , D

∴ A' , B' , C' , D' are the images of A , B , C , D after reflection

across the y-axis

∴ The rule of reflection is ry-axis (x , y) → (-x , y)

The rule of reflection is ry-axis (x , y) → (-x , y)

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

7 0

3 years ago

Read 2 more answers