what’s the rangeee??

Answer:

A.32

Step-by-step explanation:

h(x)=x^2-4

h(6)=6^2-4

h(6)=36-4

h(6)=32

The required expressions for the marginal probability density function of Y for all Y is 2y + 1.

The marginal probability density function of Y for all Y is needed for the given expression of G(x,y) = 1 + x² + x.y². Let's learn the step-by-step procedure to find it below:

Step 1:Find out the joint probability density function, f(x,y) = ∂²G(x,y)/∂x∂y = ∂/∂y(2xy + y²) = 2x + 2ywhere f(x,y) > 0. Then f(x,y) is a valid probability density function.

Step 2:Next, to find the marginal probability density function of Y, we integrate the joint probability density function over the range of X:fy(y) = ∫f(x,y) dx from -∞ to +∞fy(y) = ∫²x + 2y dx from -∞ to +∞fy(y) = ∫2x dx + ∫2y dx from -∞ to +∞fy(y) = [x² + 2yx] + [y²] from -∞ to +∞fy(y) = 2y + y² as the limits are infinite.

Step 3:To obtain the marginal probability density function of Y, we take the first derivative of the above expression with respect to y and simplify the obtained expression. fy(y) = 2y + y²f′y(y) = 2y + 1

Therefore, the marginal probability density function of Y for all Y is f′y(y) = 2y + 1.

Hence, the required expressions for the marginal probability density function of Y for all Y is 2y + 1.

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The given function is \(G(y) = 1 + x² + λxy².\)

We are supposed to find the marginal probability density function for all y.

In order to obtain the marginal probability density function for all y, we have to integrate the joint probability density function with respect to x.

The joint probability density function is given by the product of the marginal probability density functions.

Thus, we have:

\(G(y) = 1 + x² + λxy² => G(y) - 1 = x² + λxy²\)

Now we have:

\(P(x, y) = f(x, y) dy\) dxwhere

P(x, y) represents the joint probability density function.

Let's say that the marginal probability density function for x is given by:

f(x) = 1, 0 ≤ x ≤ 1 and for

\(y: g(y) = 1, 0 ≤ y ≤ 1\)

Therefore,

P(x, y) = f(x)g(y) = 1

The marginal probability density function for y is given by:

\(h(y) = ∫ P(x, y) dx= ∫ f(x, y) dx= ∫ f(x)g(y) dx= g(y) * ∫ f(x) dx= g(y) * [1 - 0]  since 0 ≤ x ≤ 1\)

Thus, we have: h(y) = g(y) = 1, 0 ≤ y ≤ 1

The required marginal probability density function for all y is given by: h(y) = 1, 0 ≤ y ≤ 1.

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In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer:

true

Step-by-step explanation:

if there is no y intercept then it is 0

Answer:

Here we have the equation:

y = 4*x^2 - 4*x - 1

And we should have the graph (you can see it below this answer)

Now we want to find the solutions of:

4*x^2 - 4*x - 1 = 0

These solutions will be the two values of x at which the graph of our function intersects the line y = 0, that is the x-axis.

Then we need to find the two values of x at which our graph intersects the x-axis.

In the graph, we can estimate the solutions as:

x = -0.2

x = 1.2

To find the exact solutions we can use the Bhaskara's equation, and we will find that the solutions are given by:

Then the two solutions are:

x = (4 + 5.66)/8 = 11.2075

x = (4 - 5.66)/8 = -0.2075

Step-by-step explanation:

Answer:

4 hours · Speed = 50 mph · distance = time x speed · Time = 200 / 50 = 4 hours.

Step-by-step explanation:

Answer: the solution of the sytem is x = 4, y = 11/3.

Step-by-step explanation:

There are multiple ways to solve this, you could just graph the other line and see at which point both lines intersect, that point is the solution of the system.

I will do it in a more analytical way.

We have the two equations:

y = -(1/3)*x + 5

y = (5/3)*x - 3

x and y represent the same number.

then we must have y = y

then we can write:

-(1/3)*x + 5 = y = (5/3)*x - 3

this means that:

-(1/3)*x + 5 = (5/3)*x - 3

Now we can solve this for x.

To do it, let's move all the terms with x to the left, and the terms without x to the right:

-(1/3)*x - (5/3)*x = -3 - 5

-(6/3)*x = -8

-2*x = -8

x = -8/-2 = 4

We found the value of x, now we can replace this in one of the two equations to get the value of y.

Let's use the first equation:

y = -(1/3)*4 + 5 = -4/3 + 5 = -4/3 + 15/3 = (15 - 4)/3 = 11/3

Then the solution of the sytem is x = 4, y = 11/3.

Also can be written as (4, 11/3).

Answer:

y=3x-7

Step-by-step explanation:

Choose 2 points.

(3, 2) and (4, 5)

Use slope formula.

y2-y1/x2-x1

5-2/4-3=

=3/1=3

Slope is 3.

The y-intercept is when x is 0. The y-intercept was already given. It is -7.

Y-intercept is -7.

Now you can use the slope-intercept formula.

y=mx+b

m=slope=3

b=y-intercept=-7

y=3x-7

Hope this helps!

Please mark as brainliest if correct!

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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Answer:

82 degrees

Step-by-step explanation:

Angle BDA is 144 degrees.    GIVEN

Since angle BDC is 7x+34 degrees and angle CDA is 9x+46 degrees, we can figure out what x is by adding the two expressions.

7x+34+9x+46=144

First, combine like terms.

16x+80=144.

Then, subtract 80 on both sides.

16x=64

Dividing x on both sides gives us:

x=4

Since the question asked to find angle ADC, we substitute x into 9x+46.

This becomes 36+46=82.

The measure of the angle ∠ ADC if, The measure of the angle ∠ BDA is 144°, ∠ ADC = 9x + 46 and is 82°.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.

Given:

The measure of the angle ∠ BDA = 144°

The measure of the angle ∠ ADC = 9x + 46

The measure of the angle ∠ CDB = 7x + 34

As we can see from the figure,

∠ CDB +  ∠ ADC = ∠ BDA

9x + 46 + 7x + 34 = 144

16x + 80 = 144

16x = 144 - 80

x = 64 / 16

x = 4

Calculate the measure of angle ADC as shown below,

∠ ADC = 9x + 46

∠ ADC = 9 × 4 + 46

∠ ADC = 36 + 46

∠ ADC = 82°

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The radius of the cylinder is 10 centimetres according to stated dimensions of the cylinder.

The volume of the cylinder is given by the formula-

Volume = πr²h, where r refers to radius of the circle. Keep the values in formula to find the value of radius of the cylinder

1600π = πr²×16

Cancelling π and 16 common on both sides of the equation.

r² = 100

r = ✓100

Taking square root on Right Hand Side of the equation to find the radius of the cylinder

r = 10 centimetres

Hence the radius is 10 centimetres.

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The worth of the horse is 1800 dollars

Given that a cowboy worked for one year for 19,200 plus a horse.

After 7 months, he quit and was paid 10,450 but got to keep the horse.

We need to find the worth of the horse.

Here, the horse is part of the payment in total, so it has to be used as a variable when setting up the proportion.

Let us consider the net worth of the horse to be H

solving for H,

[19,200 + H] / 12 = [10,450 + H] / 7

Now, cross multiply

134,400 + 7H = 125,400 + 12H

134,400 - 125,400 = 12H - 7H

9,000 = 5H

H = 9,000 / 5

H = $1,800

Hence, the net worth of the horse, H is $1,800.

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Answer:

\(y = 0\)

Step-by-step explanation:

Given

Line segment JK

\(J = (1,-10)\)

\(K = (7,2)\)

Ratio; \(m:n= 5:1\)

Required

Find the coordinates of y

From the question; the formula to use is

\(y = (\frac{m}{m+n})(y_2 - y_1) + y_1\)

We have that; m = 5; n = 1

\(J =(x_1, y_1) = (1,-10)\)

Hence, \(y_1 = -10\)

\(K = (x_2,y_2)= (7,2)\)

Hence, \(y_2 =2\)

Substitute the above values in the given formula;

\(y = (\frac{m}{m+n})(y_2 - y_1) + y_1\) becomes

\(y = (\frac{5}{5+1})(2 - (-10)) + (-10)\)

Solve brackets

\(y = (\frac{5}{6})(2 +10)) - 10\)

\(y = (\frac{5}{6})(12)) - 10\)

Open bracket

\(y = \frac{5}{6} * 12 - 10\)

\(y = \frac{5*12}{6}- 10\)

\(y = \frac{60}{6}- 10\)

\(y = 10 - 10\)

\(y = 0\)

Answer: 0

Step-by-step explanation:

Answer:

q8+p6=14

Step-by-step explanation:

Answer:

Answer:14

Step-by-step explanation:

Use PEMDAS

Answer:

p=2

Step-by-step explanation:

х

3

10

15

30

у

5

р

1

1

0.5

what is the value of p=2

Answer:

umm wait let me try give me time

The top answer is right! Took the test.

The graphs that represents the equation ; graph Y is the correct one.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

We have given a function;

y = 2/5x + 2

If we put x = 0 then we get y = 2

The point (0, 2) lies in the Graph Y.

From the given options in graph we can see that graph Y is the correct one.

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A random selection of an Endure All battery has a 10.56% probability of lasting more than 550 hours.

The Z score is utilized to calculate how far the raw score deviates from the mean.

The Z score is calculated as follows:

z = (x - μ)/σ

Given that x > 550 and μ = 500, σ = 40:

z = 550 - 500 / 40

z = 1.25

Following the normal distribution chart,

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, there is a 10.56% chance that a randomly chosen Endure All battery would survive longer than 550 hours.

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To show that the general term of the quadratic number pattern is given by \(tn = n^2 + 4n - 12\) , we need to find a quadratic expression that fits the given pattern.

Let's examine the given sequence: -7, 0, 9, 20. We notice that each term is increasing by a certain amount.

First, let's find the differences between consecutive terms:
0 - (-7) = 7
9 - 0 = 9
20 - 9 = 11

We observe that the differences between consecutive terms are not constant, so this indicates that the sequence is not linear.

To determine if the sequence follows a quadratic pattern, let's find the second differences:
9 - 7 = 2
11 - 9 = 2

The second differences are constant, which suggests a quadratic pattern.

Now, let's find the quadratic expression. We know that the general term of a quadratic sequence can be written as \(tn = an^2 + bn + c\), where a, b, and c are constants to be determined.

Using the given terms, we can form three equations:

1.\(For n = 1: -7 = a(1)^2 + b(1) + c\)
2. \(For n = 2: 0 = a(2)^2 + b(2) + c\)
3.\(For n = 3: 9 = a(3)^2 + b(3) + c\)

Simplifying these equations, we get:
1. a + b + c = -7
2. 4a + 2b + c = 0
3. 9a + 3b + c = 9

Solving this system of equations, we find a = 1, b = 4, and c = -12.

Therefore, the general term of the quadratic number pattern is given by\(tn = n^2 + 4n - 12\).

The general term of the quadratic number pattern is \(tn = n^2 + 4n - 12\).

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Answer:

26√2 ≈ 36.8 units

Step-by-step explanation:

Triangle is isosceles

x² = 26² + 26²

x = \(\sqrt{26^2(2)}\) = 26√2 ≈ 36.8 units

Check the picture below.

Answer:

14.1

Step-by-step explanation:

You add all of your numbers up, and then you divide by how many numbers you have.

Answer: C

Step-by-step explanation: I just took the exam

we have the following:

solving for x:

the missing denominator is 60

Answer:

\(49^{\frac{7}{2} }*81^{\frac{-1}{4} }*49^{\frac{5}{2}} \div343^{ \frac{-1}{3}}\\\\(7^2)^{\frac{7}{2} }*(3^4)^{\frac{-1}{4} }*(7^2)^{\frac{5}{2}} \div(7^3)^{ \frac{-1}{3}}\\\\7^7*3^{-1}*7^5 \div 7^{-1}\\\\7^{12} * 3^{-1} *7^1\\\\7^{13}*3^{-1}\)

Answer:

1st blank : 1

2nd : 3

3rd : 5

4th: 7

Step-by-step explanation:

you have to replace x in the equatoin by the numbers you have in the first line.

For example : y= 2x+5

y= 2(-2) + 5

y= -4+5

y= 1

Answer:

0507   y 2

Step-by-step explanation:

Step-by-step explanation:

x°+128°=180°

x°=180°-128°

x°=52

2. y-90°=x

y-90°=52°

y=52°+90°

y=142°

9514 1404 393

Answer:

  (x, y) ⇒ (x -m, y -n)

Step-by-step explanation:

Reverse the arrow and solve for the x and y on the left:

  (x +m, y +n) ⇒ (x, y)

This resolves to two relations:

  x + m ⇒ x

  x ⇒ x - m . . . . . subtract m

and

  y + n ⇒ y

  y ⇒ y - n . . . . . . subtract n

Putting these back together, we have ...

  (x, y) ⇒ (x -m, y -n) . . . . . maps P'Q' to PQ

_____

The original translation was right m and up n. The reverse translation is left m and down n. That is what the rule shows.

Answer:

maximum height of 17.07 feet about 10.67 feet from the club

     returns to the ground 21.33 feet away

Step-by-step explanation:

The maximum height of 17.07 feet about 10.67 feet from the club and  returns to the ground 21.33 feet away.

To fill in the blanks.

What is trajectory?

The path followed by a projectile flying or an object moving under the action of given forces.

The vertex of the quadratic ax²+bx+c is given by x=-b/(2a). For this quadratic function.

Given that :

 x = -(3.2)/(2(-0.15)) = 32/3 = 10 2/3 . . . . feet horizontally from the club

The maximum height is the function value at that point.

 h(10 2/3) = (-0.15(10 2/3) +3.2)(10 2/3) = 1.6(10 2/3) = 17 1/15

So, the ball reaches a maximum height of 17 1/15 feet at a horizontal distance of 10 2/3 feet from the club. The ball's flight is symmetrical about the peak, so it returns to the ground about 21 1/3 feet away.

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