Solve the equation. Check your solutions. (Enter your answers as a comma-separated list.) x^6+7x^3−8=0 x=

The odds of choosing a red and a blue are 6/20 (4/20), or 3/5.

The balls in the bag are unaware of what was drawn the first time because the two choices are separate.

Six of the 20 pebbles in the bag are red. The odds of selecting a red are 6/20.

Four of the 20 pebbles in the bag are blue. Picking a blue one has a 4/20 chance.

Multiplying the odds of each event will yield the likelihood of two independent events.

The likelihood of selecting a red followed by a blue is 6/20 (4/20), or 3/5.

To learn more about probability, refer to:

https://brainly.com/question/24756209

#SPJ4

Answer:

2.5 minutes

Step-by-step explanation:

Dividing the average speed by distance will give you 2.5 which is the average speed the hoverboard goes assuming the hoverboard will travel at the same speed the answer is 2.5 minutes.

Answer:

Translation: Shift the trapezoid 5 units to the right.

Dilation: Enlarge the trapezoid vertically by a factor of approximately 3.365.

Reflection: Reflect the trapezoid across the y-axis.

Note: The order of transformations may vary depending on the convention used.

Step-by-step explanation:

To determine the series of transformations that result in the unshaded trapezoid being the image of the shaded trapezoid, we can analyze the changes in the coordinates.

Translation:

The shaded trapezoid is shifted horizontally by 5 units to the right to become the unshaded trapezoid. Therefore, the first transformation is a translation.

Translation vector = (5, 0)

Dilation:

The shaded trapezoid is enlarged in the vertical direction. To determine the dilation factor, we compare the corresponding side lengths.

The length of side AB in the shaded trapezoid is given by the distance formula:

AB = sqrt((-4 - (-5))^2 + (5 - 1)^2) = sqrt(1^2 + 4^2) = sqrt(17)

The length of side A'B' in the unshaded trapezoid is given by the distance formula as well:

A'B' = sqrt((1.5 - 0)^2 + (9 - 1)^2) = sqrt(1.5^2 + 8^2) = sqrt(66.25) = 2.5sqrt(26)

The dilation factor is the ratio of the corresponding side lengths:

Dilation factor = A'B' / AB = (2.5sqrt(26)) / sqrt(17) = 2.5sqrt(26/17) ≈ 3.365

Reflection:

The unshaded trapezoid is a reflection of the shaded trapezoid across the y-axis. This transformation reverses the sign of the x-coordinates.

The profit-maximizing levels of labor and output is 25 and 5

We have wage given as $10

VMPL = 100 dollars * MPL

The profit-maximizing level of labor and output is achieved where VMPL = wage(w), where

w = $10. [Given in question]

VMPL = $100 * MPL

VMPL = $100 * 0.5* (L^-1/2)

10 = 100 * 0.5* (L^-1/2)

We would have the value of L = 25

Next we have to find the quantity

Q = 1^1/2 * L^1/2 =

1^1/2 * (25)^1/2 =

= 5

Read more on profit maximization here: https://brainly.com/question/13464288

#SPJ4

The first integral, ∫(0 to 1) (1−x)/(x+1) dx, evaluates to ln(2)/2. The second integral, ∫(0 to π/2) (1+cos(2x))/1 dx, equals π/2.

First Integral (∫(0 to 1) (1−x)/(x+1) dx):

To evaluate this integral, we can use the substitution method. Let's substitute u = x + 1, which gives us du = dx. When x = 0, u = 1, and when x = 1, u = 2. The integral then becomes ∫(1 to 2) (1 - (u - 1))/u du = ∫(1 to 2) (2 - u)/u du. Now, we split this integral into two separate integrals: ∫(1 to 2) 2/u du - ∫(1 to 2) 1 du. The first integral simplifies to 2ln(u)| from 1 to 2 = 2ln(2) - 2ln(1) = 2ln(2). The second integral evaluates to (1 - 1) = 0. Therefore, the overall value is 2ln(2) - 0 = 2ln(2)/2 = ln(2)/2.

Second Integral (∫(0 to π/2) (1+cos(2x))/1 dx):

In this integral, we have a constant 1 in the denominator, which simplifies the expression. We can integrate term by term. The integral of 1 dx over the given interval is x| from 0 to π/2 = π/2 - 0 = π/2. Now, let's evaluate the integral of cos(2x) dx. Using the substitution u = 2x, we have du = 2 dx. When x = 0, u = 0, and when x = π/2, u = π. The integral becomes (1/2)∫(0 to π) cos(u) du = (1/2)sin(u)| from 0 to π = (1/2)(sin(π) - sin(0)) = (1/2)(0 - 0) = 0. Adding both results, we get π/2.

In conclusion, the first integral evaluates to ln(2)/2, while the second integral equals π/2.

Learn more about integral here:

https://brainly.com/question/31433890

#SPJ11

The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

Learn more about Constraints:

https://brainly.com/question/3469433

#SPJ11

Answer:

Step-by-step explanation:

Derivation of composite functions concept.

h'(x)=g'(f(x))·f'(x)=(sin(5x))'×(5x)'=cos(5x)×5=5cos(5x)

Answer:

This can be true if n=0

Step-by-step explanation:

9n = 0

Divide each side by 9

9n/9 = 0/9

n=0

This can be true if n=0

Answer:

simple its 16

Step-by-step explanation:

Answer:

That's so easy the square units are 5

Step-by-step explanation:

hope it will help you

Answer:

A. One point greater than the last test grade.

Step-by-step explanation:

One point greater than the last test grade can be written as an expression:n + 1

The difference of Gina’s score and one can be written as an expression:

n - 1

The total cost less one dollar can be written as an expression: n - 1

One minute less than Mickey’s previous time can be written as an expression: n - 1

Answer:

Step-by-step explanation:

its A

Answer: .20x+1.00

Step-by-step explanation:

Answer:

$15.27

Step-by-step explanation:

80.00 - 64.73

Take -1 from each digit until all digits are subtractable

7-6 = 1

9-4 = 5

9-7 = 2

10-3 = 7

15.27

Natasha get $15.27 in change.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Natasha bought a pair of boots for $64.73.

Natasha  gave the cashier $80.00.

So, she get

= 80- 64.73

= $15.27

Hence, Natasha get $15.27 in change.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer: B. f(x) = (x - 2)^2 - 3

Step-by-step explanation:

Answer: 20/300 = 1/15

Hope this helps...

Have a great day.

The volume of a cuboid will be, V =  2x² If it has one side of 2 meters and the other two sides are of equal length.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

We know, The volume of a cuboid is (length×width×height).

Assuming the height of the cuboid to be 2 meters and it has a square base of 'x' meters.

Therefore, The volume of the cuboid V = 2×x×x.

V = 2x².

learn more about cuboids here :

https://brainly.com/question/29568631

#SPJ1

Answer:

Step-by-step explanation:

the number is 18, so half of that would be

The correct statement is B. For all b, the equation Ax=b has a solution.

Since the columns of A are linearly independent, then the matrix A has full rank, and its column space is equal to the entire vector space in which it resides. This means that for any given vector b, we can find a linear combination of the columns of A that is equal to b, and therefore the equation Ax=b has a solution for all b.

Option A is incorrect, as there may be certain b vectors for which Ax=b has a solution.

Option C is incorrect, as the equation Ax=b may have a solution even when A has fewer columns than rows.

Option D is incorrect, as we can determine whether or not the equation Ax=b has a solution for all b by checking the rank of A.

Option E is incorrect, as the equation Ax=b may have a solution even when A has more columns than rows.

Option F is incorrect, as a square matrix may or may not have linearly independent columns, and therefore may or may not have a solution for all b.

for such more question on matrix

https://brainly.com/question/2456804

#SPJ4

Answer:

Yes, similar by SSS

Step-by-step explanation:

12/16 is similar to 8/12 they both simplify to 3\4

Hope this helps you!!!! Have a great rest of your day!! :)

Please follow me I would really appreciate it :)

No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

Learn more about error variance

brainly.com/question/31592090

#SPJ11

Answer:

The height is \(\sqrt{106}\) feet

Step-by-step explanation:

First, lets assign and categorize the information given to us:

Area = 106 \(ft^{2}\)

b = 2h (Base is twice the height)

Next, lets look at the formula for the area of a triangle:

Area = \(\frac{1}{2} bh\)

Then, lets substitute the given information and solve:

106 = \(\frac{1}{2}\) * 2h * h
106 = \(h^{2}\)
\(\sqrt{106}\) feet = h

Answer:

C

Step-by-step explanation:

how do you know if an equation has infinite solutions?

if the equation ends with a true statement, like 3=3, then you know it has sinfinite solutions. in this situation x=x

C:

3(2x+1)=6x+3

(multiply 3 by (2x+1))

6x+3=6x+3

(subtract 6x-3 from both sides)

0=0

The coordinate of points B, C, and D are B(3,-5), C(3,5), and D(0,-1).

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane.

As per the given coordinate A(-2,-5).

Since, AB = 5 and horizontal thus B(-2 + 5,-5) = B(3,-5)

Since, BC = 10 and the vertical line thus, C(3,-5+10) = C(3,5)

The equation of line AC will be as follows,

y + 5 = [(5 + 5)/(3 + 2)](x + 2)

y + 5 = 2(x + 2)

y = 2x - 1

At x = 0

y = -1 so D(0,-1)

Hence "The coordinate are B(3,-5), C(3,5), and D(0,-1)".

For more about coordinates,

brainly.com/question/7869125

#SPJ1

Answer:

a) -3*(9+-4) = -15

b) -7+-3*5 = -22

c) (-5+9)/10 = 0.4

d) 6*-3 - (-9+2) = -11

Step-by-step explanation:

I don't see problem, what step you don't understand?

Answer:

32/7

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

f(1) is another notation for x = 1

so we’ll plug in 1 for x

f(1) = 7((1) -1) +8

f(1) = 7(0) +8

f(1) = 0 +8

f(1) = 8

Answer:

10 & 4

Step-by-step explanation:

Let the numbers are a and b.

Their average = 7

= > ( a + b ) / 2 = 7

= > a + b = 2 * 7 = 14 ...( 1 )

Also,

= > 3 times of difference between a and b = 18

= > 3( a - b ) = 18

= > a - b = 6 ... ( 2 )

adding ( 1 ) & ( 2 ) :

= > ( a + b ) + ( a - b ) = 14 + 6

= > 2a = 20

= > a = 10

Thus,

= > a + b = 14 → 10 + b = 14

= > b = 14 - 10 = 4

The probability that Sophia makes a positive profit on any particular night is approximately 0.8023, or 80.23%.

To find the probability that Sophia makes a positive profit, we need to find the area under the probability distribution curve of Z for values greater than 0.

Assuming that Y and X are normally distributed random variables with means μY and μX and standard deviations σY and σX, respectively, we can use the following formula to calculate the mean and standard deviation of Z:

μZ = μY - μX
σZ = √(σY² + σX²)

Then, we can standardize Z by subtracting its mean and dividing by its standard deviation, and use a standard normal distribution table or calculator to find the area under the curve for values greater than 0:

P(Z > 0) = P((Z - μZ)/σZ > (0 - μZ)/σZ)
= P(Z-score > -μZ/σZ)
= P(Z-score > -z), where z = μZ/σZ

For example, if Sophia's average profit from sales (Y) is $200 and her average cost of goods sold (X) is $150, with standard deviations of $50 and $30, respectively, then:

μZ = μY - μX = $200 - $150 = $50
σZ = √(σY² + σX²) = √($50² + $30²) = $58.31

z = μZ/σZ = $50/$58.31 = 0.857
P(Z > 0) = P(Z-score > -0.857) = 0.8023

Therefore, the probability that Sophia makes a positive profit on any particular night is approximately 0.8023, or 80.23%.

To know more about Probability  refer here:

https://brainly.com/question/30034780

#SPJ11

The probability that Sophia makes a positive profit on any particular night is approximately 0.8023, or 80.23%.

To find the probability that Sophia makes a positive profit, we need to find the area under the probability distribution curve of Z for values greater than 0.

Assuming that Y and X are normally distributed random variables with means μY and μX and standard deviations σY and σX, respectively, we can use the following formula to calculate the mean and standard deviation of Z:

μZ = μY - μX
σZ = √(σY² + σX²)

Then, we can standardize Z by subtracting its mean and dividing by its standard deviation, and use a standard normal distribution table or calculator to find the area under the curve for values greater than 0:

P(Z > 0) = P((Z - μZ)/σZ > (0 - μZ)/σZ)
= P(Z-score > -μZ/σZ)
= P(Z-score > -z), where z = μZ/σZ

For example, if Sophia's average profit from sales (Y) is $200 and her average cost of goods sold (X) is $150, with standard deviations of $50 and $30, respectively, then:

μZ = μY - μX = $200 - $150 = $50
σZ = √(σY² + σX²) = √($50² + $30²) = $58.31

z = μZ/σZ = $50/$58.31 = 0.857
P(Z > 0) = P(Z-score > -0.857) = 0.8023

Therefore, the probability that Sophia makes a positive profit on any particular night is approximately 0.8023, or 80.23%.

To know more about Probability  refer here:

https://brainly.com/question/30034780

#SPJ11