12) Findthe side lengths of cach triangle in the graph that relate to the slope of the line. ​

Greetings from Brasil...

According to the statement of the question:

Let's apply square root to both members

√X² = √20

X = √20

20 = 2² · 5   so   √20 = √2² · 5   =   2√5

X = √20 or X = 2√5 or X = 4.4721

The range of h of the given function table is; A)All real numbers greater than or equal to -7

The range of a function is defined as the set of all possible output values for which the function is valid.

From the given function table, we can see the following coordinates;

(-3, 18)

(-1, 8)

(2, -7)

(3, -12)

(4, 17)

(6, -27)

Now, from the above coordinates, we can see that the maximum value of h(x) is 17 while the minimum value is -27.

Looking at the options, the only one that  fits the available range of the function is option A.                                    

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Answer:

The answer would be 7.7

Step-by-step explanation:

Because 54/7= 7.7

you get 7.7 by dividing which is the unit rate

Answer:

Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.

Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:

x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)

So the value of x is option B: 8√2 / 2 or simplified, 4√2.

The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

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Answer:

\( \frac{6}{24} \: or \: 0.25 \: or 25\%\)

Step-by-step explanation:

First add them all up to get the total amount of seats.

6+10+8=24

there are 6 seats in the front row. so that means it will be

\( \frac{6}{24} \)

24÷6=0.25

0.25×100=25%

Probability can be answered with a fraction, decimal or a percentage, they are all correct.

Answer:

B, C, G

Step-by-step explanation:

If we look at the graph, it shows that if an employee works for 5 hours, then they will earn $36.25.

We can take 36.25 and divide that by 5 to get the hourly wage.

36.25 ÷ 5 = 7.25

We now know that employees get $7.25 every hour.

Using this we can look back to the graph.

'A' says that if an employee does not work, they will earn $7.25.

We know that this is wrong because if you do not work, then you do not earn money.

Let's look at 'B'.

If employees work for one hour, they will earn $7.25

We know this is correct because we now know the hourly wage.

Let's look at 'C'

If employees work for 4 hours, then they will get a revenue of $29.

We can figure this out by using this equation.

number of hours × hourly wage = total payment

4 × 7.25 = 29

Then this means that this is correct.

Let's look at 'D'

It says that if employees work for 10 hours, they will earn $73

Let's use that same equation again.

10 × 7.25 = 72.5

Employees earn $72.5 for working 10 hours, not $73.

So, this is obviously incorrect.

Let's look at 'E'

It says that if employees work for 3.5 hours, they will get a revenue of $21.75.

3.5 × 7.25 = 25.375

Therefore, this is incorrect.

Now let's take a look at 'F'.

It says that if employees work for 7.25 hours, then they earn $1.

This is incorrect.

And lastly, 'G'.

We know that if you do not work, then you do not earn money.

Therefore, A, B and G are the correct answers.

Answer:  expect to lose 679.07 dollars

==========================================================

Explanation:

Assuming each free throw is independent of any other, the probability of making the next free throw is 359/449

The probability of making 3 in a row is (359/449)^3 = 0.511145 approximately which represents the probability of earning the $39

That must mean 1-0.511145 = 0.488855 is the approximate probability of losing $43

Let's make a table of outcomes and their associated probabilities.

X = amount of money the player earns (the person shooting the free throws)

\(\begin{array}{|c|c|} \cline{1-2}\text{X} & \text{P(X)}\\\cline{1-2}39 & 0.511145\\\cline{1-2}-43 & 0.488855\\\cline{1-2}\end{array}\)

Then from here we'll multiply each X and P(X) value for each separate row.

Example: 39*0.511145 = 19.934655

Let's form a third column of these products

\(\begin{array}{|c|c|c|} \cline{1-3}\text{X} & \text{P(X)} & \text{X}*\text{P(X)}\\\cline{1-3}39 & 0.511145 & 19.934655\\\cline{1-3}-43 & 0.488855 & -21.020765\\\cline{1-3}\end{array}\)

Add up everything in the X*P(X) column and you should get roughly -1.08611 which rounds to -1.09

The player expects, on average, to lose about $1.09 each time they play this game. Playing 623 times means they should expect to lose 623*1.09 = 679.07 dollars

Of course, given the nature of this random process, it's not a guarantee they will lose this amount. This is just the average of many attempts.

Answer:

A.

Step-by-step explanation:

The graph was shifted (translated) 2 units upward.

This is because the 2 is being added onto the x. If you were to set x to 0, you result with a y of 2, making it the y-intercept.

Answer:

Step-by-step explanation:

The given expression is -11x3+10x

The degree of 10 x is 1

The degree of - 3 * 11 is 1

But the degree of expression will the highest degree of the individual expression of above i.e 1

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

a).  200 species = (4/7) of (All)

Multiply each side by 7 . . . 1400 species = (4) x (All)

Divide each side by 4 . . . All = 1400species/4 . . . All = 350 species

b).  

Birds  =  350 species

Plants  =  600 species

There are more species of plants than of birds in the park.

Because 600 is greater than 350.

The marginal probability function E(Y1) = 2/3, variance of a binomial distribution is V(Y1) = 4/9, and E(Y1-Y2) = 0, using the joint probability function for Y1 and Y2 and the fact that they have binomial distributions with n=2 and p=1/3.

The marginal probability function of Y1 is binomial with n=2 and p=1/3, as given in Exercise 5.19. Therefore, we have:

E(Y1) = np = 2(1/3) = 2/3.

The variance of a binomial distribution with parameters n and p is given by np(1-p), so we have:

V(Y1) = np(1-p) = 2(1/3)(2/3) = 4/9.

We can use the linearity of expectation to find E(Y1-Y2):

E(Y1 - Y2) = E(Y1) - E(Y2)

We know that E(Y1) = 2/3 from part (a), but we need to find E(Y2). Using the same reasoning as in part (a), we find that the marginal probability function of Y2 is also binomial with n=2 and p=1/3. Therefore, we have:

E(Y2) = np = 2(1/3) = 2/3.

Substituting these values into the expression for E(Y1-Y2), we get:

E(Y1 - Y2) = 2/3 - 2/3 = 0.

Therefore, E(Y1-Y2) is equal to 0.

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Answer:

Does a square have rotation symmetry? Yes, a square can be rotated \begin{align*}90^\circ\end{align*} counterclockwise (or clockwise) about its center and the image will be indistinguishable from the original square.

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

If you rotate a square about its axis, in 90°, 180°, 270°, 360°, ... degrees, it looks to be the same.

The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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Answer:

The answer is:

A. It is in the quadrants I and III.

Step-by-step explanation:

I am not sure if this is correct, but I tried my best :)

I hope this helped~

Applying the two-tangent theorem, the length of AN is: 21 units.

The two-tangent theorem is a geometric theorem that states that if two tangents are drawn to a circle from a point outside the circle, then the lengths of the tangent segments are equal. This theorem is often used in geometry to find the length of tangent segments and to prove the existence of tangents to circles.

More formally, the two-tangent theorem states that if P is a point outside a circle with center O, and if PA and PB are tangents to the circle from point P, then PA = PB. In other words, the lengths of the two tangent segments are equal.

From the image above, AM and AN are two tangents from the same circle. Also, AN is also tangent with 29 - 2y.

This implies that the three tangents are congruent. Therefore:

6y - 3 = 29 - 2y

6y + 2y = 29 + 3

8y = 32

y = 32/8

y = 4

AN = 6y - 3

Plug in the value of y

AN = 6(4) - 3

AN = 21 units.

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Answer:

a. 5π cm

b. 144π in²

c. 6 ft

Step-by-step explanation:

a.

The circumference of a circle is given by:

Circumference pf circle= πd

where d is the diameter.

In this case, d = 5 cm,

Therefore, Circumference of circle = π*5=5π cm

b.

The area of a circle is given by:
Area of circle=πr²,

where r is the radius. In this case, the diameter is d = 24 in,

so, the radius is r = d/2 = 24/2=12in

Therefore, Area of circle=π*12²=144π in²

c.

The area of a circle is given by:

Area of circle=πr²,

where r is the radius. In this case, Area is 36π ft²

Now substituting value

36π=πr²

dividing both side by π, we get

36=r²

\(r=\sqrt{36}=6\)

r=6 ft.

Therefore, Radius is 6 ft.

The domain of the function is (-∞, ∞.)

The range of the function is {3, ∞}.

We have,

From the given quadratic function,

We see that,

The x-values are -∞ to ∞

The y-values are from 3 to ∞

Now,

The x-values are called the domain.

The y-values are called the range.

Thus,

The domain of the function is (-∞, ∞.)

The range of the function is {3, ∞}.

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Answer: 4

This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.

4/5 ÷ 1/5

Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:

4/5 x 5

To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.

You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.

Hope this helps!

Answer:

They are already in order

70, 70, 79, 85, 96

the middle one is 79, meaning 79 is the median.

Step-by-step explanation:

The approximate amount of rotations it would take the monster truck to travel one mile is 1260 rotations.

Now, Based on the tire experiment, it will take fewer rotations for a monster truck with 6ft (which is 72 inches) tires to travel one mile compared to the other 3 tires from before.

This is because larger tires have a greater circumference, which means they are able to cover more distance with each rotation.

Hence, For calculate the approximate amount of rotations it would take the monster truck to travel one mile, we need to use the formula:

Number of rotations = Distance traveled / Circumference of the tire

Since the distance traveled is one mile, which is equal to 5280 feet, we need to convert the tire diameter from feet to inches, and then calculate the circumference:

Hence, We get;

Circumference = π x Diameter Circumference

                        = 3.14 x 72 Circumference

                        = 226.08 inches

Now, we can calculate the number of rotations:

Number of rotations = 5280 feet / (12 inches/foot x 226.08 inches/rotation)

Number of rotations = 5280 / 2712.96

Number of rotations ≈ 1.947 rotations

or ≈ 1260 rotations per mile

Therefore, the approximate amount of rotations it would take the monster truck to travel one mile is 1260 rotations.

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Answer:

n>1

Step-by-step explanation:

Given

Statement: 4x n is greater than 4

Required

Value of n

First we need to rewrite the statement in algebraic form;

Product 4 * n is represented by 4n

greater than 4 is represented by > 4

Bringing these two together, it gives the following

Divide through by 4

We've arrive at solution;

This means that n is greater than 1

So, the values of n must start from 2 to show that the condition is true

The staircase below has 12 steps. Find the distance from point A to point B (in feet). round your answer to the nearest tenth. ​

______________________________________________________________________

_________________________________________________________________

The distance from point A to point B = 12* steps

______________________________

Pythagoras theorem

H^2 = S1^2 + S2^2

H= hypotenuse

S= sides

______________________

H^2 = 10^2+ 8^2

H = √ 10^2+ 8^2

H= 2 √ 41 in

_________________________

Form in to ft

12 in = 1 ft

H (ft)= 2 √ 41 in * 1ft/ 12 in = √ 41 /6

_________________________

The distance from point A to point B = 12* steps

= 12 * √ 41 /6 = 2 √ 41

______________________

Answer

The distance from point A to point B (in feet) is 2 √ 41 = 12. 8

_________________________

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Answer:

I believe it's A

Step-by-step explanation:

Just multiply the length, width, and height to get volume. Please tell me if I'm wrong.

Answer:

the answer is 10+7+15+10.5+20+14= calculate and its the answer

Answer:

x= 10

Step-by-step explanation:

To find the length of JK, take 72cm- 10 cm=62cm

62= 8x-18

8x=62+18

8x=80

x=10

Answer:

\(\frac{3}{35}\)

\(\frac{1}{5} *\frac{4}{7} = \frac{1 * 4}{5 * 7} = \frac{4}{35}\)

\(\frac{4}{35} = x\)

\(x * \frac{3}{4}\)

\(\frac{x(4) * 3}{y(35) * 4} = \frac{12}{140}\)

\(\frac{12 / 4}{140 / 4} = \frac{3}{35}\)

_______________________________________________________

And with that information, your final answer is \(\frac{3}{35}\)

_______________________________________________________

We learned how to multiply fractions using different denominators, and multiple parameters.

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If the probability distribution is f(x) = 2(1/3)ˣ for x = 1,2,3,... then the moment generating function is Mₓ(t) = \(\frac{2e^{t} }{3-e^{t} }\).

The moment generating function (MGF) of a random variable is defined as a mathematical function that is used to determine expected values of the random variable.

It is a way to characterize the entire probability distribution of the random variable by generating a sequence of moments from the function.

The probability distribution is  f(x) = 2(1/3)ˣ for x = 1,2,3,... ;

The MGF will be ⇒ Mₓ(t) = \(\[ \sum_{x=1}^{\infty} e^{tx} .2(\frac{1}{3})^{x}\)

⇒ \(2 \[ \sum_{x=1}^{\infty}(\frac{e^{t} }{3} )^{x}\) ;

This expression \(\[ \sum_{x=1}^{\infty}(\frac{e^{t} }{3} )^{x}\) represents an infinite geometric series.

So, \(\[ \sum_{x=1}^{\infty}(\frac{e^{t} }{3} )^{x}\) = \(\frac{e^{t}/3 }{1-e^{t}/3 }\) = \(\frac{e^{t} }{3-e^{t} }\)

We get, Mₓ(t) = \(\frac{2e^{t} }{3-e^{t} }\).

Therefore, the Moment generating Function for the given Probability Distribution is Mₓ(t) = \(\frac{2e^{t} }{3-e^{t} }\).

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The given question is incomplete, the complete question is

Find the moment-generating function of the discrete random variable X that has the probability distribution f(x) = 2(1/3)ˣ for x = 1,2,3,....