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3 years ago

Given the following figure. What is the value of x

Mathematics

2 answers:

Nookie1986 [14]3 years ago

3 0

Why?

Because if you draw a line from A to D to make a triangle AED, then triangle all angle add up equal 180.

kenny6666 [7]3 years ago

3 0

Answer: 11

Step-by-step explanation: We have an irregular pentagon

The sum of the interior angles = 540°

84 + 12x + 92 + (9x - 16) + (13x + 6) = 540 simplify

166 + 34x = 540 subtract 166 from both sides

34x = 374 divide both sides by 34

x = 11

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In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p

hichkok12 [17]

Answer:

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

4 0

2 years ago

Graph the point (4, -1) on the coordinate plane below.<br>

dimulka [17.4K]

See the blue dot in the attached image.

First, find the x value on the coordinate plane. The x value is the first number in the point coordinates, so in this case, it is 4. Move to the right 4. (If it was negative, you would move to the left.)

Then, find the y value, which is the second number of the coordinates. In this case, it is -1, so move down 1. (If it was positive, you’d move up.)

Now, mark this point. This is (4, -1).

4 0

3 years ago

Read 2 more answers

8 was dividedby some numberthen added to13.next this difference was multiplied by 2 which gave a product of 30 find the answer

Anna11 [10]

The answer is 4.

8/x +13 = y --------> y * 2 = 30

divide 2 on both sides so y = 15

8/x + 13 = 15
- 13 - 13

8/x = 2

x =4

3 0

3 years ago

Determine whether the given function has a maximum or a minimum value. Then, find the maximum or minimum value of the function.

Serga [27]

Answer:

The function has a minimum value

The minimum value of the function is -4

Step-by-step explanation:

* Lets explain some facts about the quadratic function

- The general form of the quadratic function is f(x) = ax² + bx + c

where a , b , c are constant

- The quadratic function represented graphically by a parabola

- The parabola is open upward if a is a positive number

- The parabola is open downward if a is a negative number

- If the parabola open upward its vertex point is minimum point and

the minimum value of the function is the y-coordinate of the

vertex point

- If the parabola open downward its vertex point is maximum point

and the maximum value of the function is the y-coordinate of the

vertex point

- The x-coordinate of the vertex point is (-b/2a)

- The y-coordinates of the vertex point is f(-b/2a)

* Lets solve the problem

∵ f(x) = x² - 6x + 5

∵ f(x) = ax² + bx + c

∴ a = 1 , b = -6 , c = 5

∵ a is a positive value

∴ The function has minimum point

* The function has a minimum value

∵ the minimum value is the y-coordinate of the vertex point

- Lets find the vertex point

∵ The x-coordinate of the vertex point = -b/2a

∴ The x-coordinate of the vertex point = -(-6)/2(1) = 6/2 = 3

- To find the y-coordinate of the vertex point substitute x in the

function by the x-coordinate of the vertex point

∵ The y-coordinate of the vertex point = f(3)

∴ The y-coordinate of the vertex point = (3)² - 6(3) + 5

∴ The y-coordinate of the vertex point = 9 - 18 + 5 = -4

∴ The minimum value of the function = -4

* The minimum value of the function is -4

8 0

3 years ago

Vicki made a fruit tart and cut it into six equal pieces . vicki, silvia,and Elena each took 2 pieces of the tart home. vicki sa

frez [133]

Yes, Vicki's statement is true.
The fruit tart was split into 6 pieces and to find what 1/3 of 6 is, you'd have to divide 6/3 which equals 2. So, 1/3 of 6 is 2 and each girl took home 2 pieces (1/3) of the tart home

4 0

3 years ago