if the probability of getting a blue ball from the group of balls is 320/429, then the event is classified as ______________.equally likely eventimpossible eventless likely eventmore likely event

Answer:

n > 1

Step-by-step explanation:

3x-10=2(x+6)

3x-10=2x+12

subtract 2x (to cancel it out and combine like terms)

[3x-2x=x]

x-10=12

add 10

[12+10=22]

x=22

The equation of the line in slope intercept form is  y = - 1 / 2 x - 8.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Let's find the slope of the line before we can find the equation of the line.

The slope is the change in the dependent variable with respect to the change in the independent variable.

Hence,

m = y₂ - y₁ / x₂ - x₁

Therefore,

(0, -8)(-2, -7)

Hence,

slope = m = -7  + 8 / -2 - 0

m = 1  / -2

m = - 1 / 2

The y-intercept is -8.

Therefore, the equation of the line is y = - 1 / 2 x - 8.

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Answer: 10%

Step-by-step explanation:

2/20

The side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

To order the side lengths IK, KL, IJ, IL, and LJ from least to greatest, we can analyze the given figure.

Since the figure is not drawn to scale, we cannot determine the exact lengths of the sides. However, we can make some observations based on the given angles.

Let's analyze the angles:

Angle L: Since angle L is marked as 47°, we know that side KL is the shortest side, as it is opposite to the smallest angle in a triangle.

Angle I: Since angle I is marked as 20°, we can infer that side IJ is longer than side IK, as it is opposite to a larger angle.

Angle LJ: Since angle LJ is marked as 89°, we can conclude that side LJ is the longest side, as it is opposite to the largest angle in the triangle.

Based on these observations, we can order the side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

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The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

From the question, we have the following function definition that can be used in our computation:

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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Answer:

4182

Step-by-step explanation:

The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.

Let's represent the total no of oranges by x.

Therefore ,

2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.

an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x

x = 12+4 or x-12 = 4

= 16

therefore amir got 16 oranges in all

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The function f(x) = sin⁻¹x, x ≠ π/4 and sinx, x = π/4 is continuous on[-1, π/4) ∪ (π/4, 1]. There is a removable discontinuity at x = π/4

A function is said to be continuous if there are no breaks or jumps in the functions

Conditions for continuity of a function

Now, for the given function f(x) = sin⁻¹x, x ≠ π/4 and sinx, x = π/4

We need to determine the interval of continuity, We proceed as follows.

Since f(x) = sin⁻¹x, x ≠ π/4 , we know that the minimum value of x is - 1 and its maximum value is 1.

So, x must lie in the interval (-1, 1) for x ≠ π/4,

Now, when x = π/4 f(x) = sinx. We know that x = π/4 lies in the interval (-1, 1).

But we know that f(x) = sinx at x = π/4. So, there is a removable discontinuity at x = π/4.

So, from the left, f(x) is continuous on the interval [-1, π/4) and  from the right, f(x) is continuous on the interval (π/4, 1]

So, combining both intervals, we have f(x) is continous on the interval [-1, π/4) ∪ (π/4, 1] and since f(x) = sinx at x = π/4, there is a removable discontinuity at x = π/4

So, the function f(x) is continuous on[-1, π/4) ∪ (π/4, 1]. There is a removable discontinuity at x = π/4

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Answer:

i belive the awnser to this is m= –4

Answer:

Slope m = -4

Step-by-step explanation:

In order to solve this problem, we need to use \(\frac{y2-y1}{x2-x1}\). After plugging in we get \(\frac{2-6}{9-8}\). 2 - 6 = -4 and 9 - 8 = 1. Because we don't need to write the 1 when it is in the denominator, the answer is just -4.

Answer:

y = 5/2x - 8

Step-by-step explanation:

Answer: The value of the intercept represents the predicted highway mileage for gas city mileage of 0 mpg, and such a prediction would be invalid, since 0 is outside of the range of data.

Step-by-step explanation:

Answer:

The meaning of slope is like the middle number.

The solving equation for the slope is

y2-y1 and x2-x1

Step-by-step explanation:

Explanation:

To solve this, we will use the table below

The total number of sample space is given below as

The total number on the sum table of the two die that is less than 10 is

From the image below, it can be indicated

Hence,

The probability of rolling a sum less than 10 will be

Hence,

The final answer is

the probability that the sum of the faces when rolling a pair of dice is seven =1/6

Answer:

You're answer is 4/7

Step-by-step explanation:

I hope this helps!

Answer:

No, the two sides are not congruent.

I flipped my whole laptop around to check loll

Answer:

11) ∠LPN = 57°

12) x  = 11

Step-by-step explanation:

11) see the below figure

∠LOP = 102° and ∠NOP = 144°

As OL, OP, ON are radius of the circle

∠OLP = ∠OPL = x

so in ΔOLP sum of angles is 180

102 + ∠OLP + ∠OPL = 180

102 + 2x = 180

2x = 180 - 102 = 78

x = 39

so ∠OPL = 39°

as ON = OP, ∠OPN = ∠ONP = y

so in ΔOPN sum of angles is 180

144 + ∠OPN + ∠ONP = 180

144 + 2y = 180

2y = 180 - 144

2y = 36

y = 18

so ∠OPN = 18°

now ∠LPN = ∠OPL + ∠OPN

= 39 + 18

∠LPN = 57°

12) angle of arc VYX = 282

The angle between a tangent and a radius is 90°.

∠UVX = 4X - 5

see the second figure below

∠OVU = 90°

∠XOV = 360 - ∠arc VYX

= 360 - 282

= 78°

in ΔOVX

∠OXV = ∠OVX = x

and ∠OXV + ∠OVX + ∠VOX = 180

2x + 78 = 180

2x = 180 - 78 = 102

x = 51

now ∠UVX + ∠XVO = 90

4x - 5 + 51 = 90

4x + 46 = 90

4x = 44

x = 11

Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

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

Step-by-step explanation:

The equation of a parabola in vertex form is:

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

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

Answer:

Please refer to the above attachment...

(sorry for bad handwriting:P)...

Step-by-step explanation:

I hope it helps...:)

A function modeling the volume of the box can be found, and the values of x for which the volume is greater than 230 in2 are x = [-2.636, 2.636]. The largest volume is 480 in2, which is achieved when x = 5.

A function that models the volume V of the box can be found by subtracting four \(x2\)from both the length and the width, and then multiplying the result to get the volume:

V = \((12 - 4x2)(20 - 4x2)\)

To find the values of x for which the volume is greater than 230 in2, we can solve the equation

V = \((12 - 4x2)(20 - 4x2) = 230\) for x.

This gives x values of ±2.636

Thus, the values of x for which the volume is greater than 230 in2 are x = [\(-2.636, 2.636\)].

The largest volume that such a box can have is 480 in2, which is obtained when x is equal to the length or width divided by two. This occurs when x = 10/2 = 5. Thus, the largest volume that such a box can have is 480 in2.

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Answer:

Opposite sides are congruent (AB = DC).

Opposite angels are congruent (D = B).

Consecutive angles are supplementary (A + D = 180°).

If one angle is right, then all angles are right.

The diagonals of a parallelogram bisect each other

Answer:

528 cm = 5.77 yards  <---- ( 5.77428 )

Answer:

To solve this problem, we need to integrate the derivative f'(x) to obtain the function f(x).

∫f'(x) dx = ∫(4x - 3) dx

f(x) = 2x^2 - 3x + C

where C is the constant of integration.

To find the value of C, we need to use the fact that f(0) = 5. Substituting x = 0 into the above equation, we get:

f(0) = 2(0)^2 - 3(0) + C = C

Therefore, C = 5.

Hence, the function f(x) is:

f(x) = 2x^2 - 3x + 5

Now, we can find f(5) and f(-1) and compute their difference:

f(5) - f(-1) = (2(5)^2 - 3(5) + 5) - (2(-1)^2 - 3(-1) + 5)

f(5) - f(-1) = (50 - 15 + 5) - (2 + 3 + 5)

f(5) - f(-1) = 35 - 10

f(5) - f(-1) = 25

Therefore, f(5) - f(-1) = 25.

Answer:

17 tkrnfuebdkrheejshdhfd

Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

There must be 46 chairs in each row and total number of chairs are 1058

To meet the given conditions, we need to find a number that has the following properties:

It should be divisible by 2, as there are an even number of chairs in each row.

It should be divisible by 23, as there are 23 rows of chairs.

It should be the same number in each row.

The smallest number that satisfies these conditions is 46, which is the least common multiple of 2 and 23.

So, we need to set up 46 chairs in each row.

The total number of chairs required will be:

Total number of chairs = 23 rows x 46 chairs per row = 1058 chairs

Hence, the total number of chairs are 1058

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What is the area of the box?

      B * H = A

      54 in² * 13 in = A

      702 in³ = A

The area of the box is 702 in³

Does he have enough sand?

If not, how many more bags does he need?

      I am not sure how many bags he does have, so I cannot answer these two questions. I can, however, tell you how many bags he will need.

      702 in³ / 36 in³ = 19.5 bags

He most likely will not have half a bag, so he will need 20 bags in total.