Please help!!
(a - b)(a^2 + ab + b^2)
It should be solved using FOIL

Answer:

8

Step-by-step explanation:

8x-4=60

8x=64

x=64/8

x=8

Answer:

x = 8

Step-by-step explanation:

Alternate Interior Angles Theorem

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

Therefore, equate the two angles and solve for x:

⇒ (8x - 4)° = 60°

⇒ 8x - 4 = 60

⇒ 8x - 4 + 4 = 60 + 4

⇒ 8x = 64

⇒ 8x ÷ 8 = 64 ÷ 8

⇒ x = 8

In a continuous probability distribution, a random variable can take any value in a specified range. (Option D)

A probability distribution refers to the mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment. Continuous probability distribution refers to a probability distribution with continuous types of data or random variables where the random variable can take on any value and is continuous. As there are infinite values that the variable can assume, the probability of the variable assuming any one specific value is zero. A continuous distribution is characterized by a range of values that are infinite, and therefore uncountable. The normal distribution is one example of a continuous distribution.

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Answer: y intercept is 4

Step-by-step explanation:

the number + or - after x is the y intercept

Answer:

1133.3 liters of water after leakage.

Step-by-step explanation:

x*.30=340

x=340/.30

x=1133.33

The total capacity of the water tank is 1133.33 liters of water after leakage.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have given Due to leakage, 30% of the water was lost from a water tank. If only 340 liters of water is left in the tank now, then we need to find the total capacity of the water tank.

x*.30 = 340

x = 340/.30

x = 1133.33

Hence, the total capacity of the water tank is 1133.33

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Answer:

x=9

Step-by-step explanation:

because its isosceles, and as stated PQ = QR

so...

2x+1=3x-8

solve for x

x=9

Hope you are having a good day!

Answer:

The value of X in isosceles triangle is 9

To answer this question we will use the substitution method.

Solving the second equation for y we get:

Substituting the above result in the first equation we get:

Adding like terms we get:

Now, from the above result, we get that the system is inconsistent, therefore it has no solutions.

Answer: No solution.

The absolute value of the elasticity coefficient for Toasty Hands' gloves is 394,265.23.

The elasticity coefficient is calculated as follows:

Elasticity coefficient = (Change in demand)/(Change in price) * (Original price)/(Original demand)

In this case, the change in demand is 540,000 - 440,000 = 100,000 pairs. The change in price is 239 - 279 = -40. The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get:

Elasticity coefficient = (100,000)/(-40) * (279)/(440,000) = -394,265.23

The absolute value of the elasticity coefficient is 394,265.23. This means that the demand for Toasty Hands' gloves is elastic, meaning that a small change in price will lead to a large change in demand.

Here is a more detailed explanation of the calculation:

The change in demand is calculated by subtracting the original demand from the new demand. In this case, the new demand is 540,000 pairs, and the original demand is 440,000 pairs. So the change in demand is 540,000 - 440,000 = 100,000 pairs.

The change in price is calculated by subtracting the original price from the new price. In this case, the new price is $239, and the original price is $279. So the change in price is 239 - 279 = -40.

The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get the elasticity coefficient of -394,265.23.

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Answer:

it is the second one

Step-by-step explanation:

Hope this helps

Answer:

It would take Farmer John 10 hours on his own to till his field.

Step-by-step explanation:

Let;

J = Time spent by John alone

B = Time spent by Bob alone = 1.5 * J = 1.5J

Time spent by both = 6

Using reciprocal, time spent by John alone can be calculated as follows:

(1 / J) + (1 /1.5J) = 1 / 6

Multiply through by 6J and solve for J, we have:

(6J / J) + (6J / 1.5J) = 6J / 6

6 + (6 / 1.5) = J

J = 6 + 4 = 10

Therefore, it would take Farmer John 10 hours on his own to till his field.

Answer: 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes

Step-by-step explanation:

The binomial distribution simply means the probability of success or failure in an experiment. The instances in which the variable described is binomial are given below:

• 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.

Option 1 isn't binomial since the number of trails that are given isn't fixed. Option 5 isn't binomial as well

Therefore, the correct options are 2,3 and 4.

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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The Solution:

Given the function:

Required:

To determine the domain and the range of the function.

Below is the graph of the function:

Step 1:

The domain of the function is:

Step 2:

The range of the function is:

Therefore, the correct answer is :

Answer:

C. Is i think the answer( im not perfect dont judge)

Step-by-step explanation:

안녕하세요 나쁜 소식은 나를 위해하지 아니 아니 나를 위해 감사f요 나쁜 소식 yiu 나를 위해 하지 감사

Answer:

A. 48

Step-by-step explanation:

4x4=16

2x2=4

2x2=4

16+4+4=24

24x2=48

Therefore I think it is 48.

DISCLAIMER

(I could be wrong so this is not with 100% satisfaction)

There are 40 such bit strings.

To count the number of bit strings of length seven that either begin with two 0s or end with three 1s, we need to use the principle of inclusion-exclusion.

Let A be the set of bit strings that begin with two 0s, and let B be the set of bit strings that end with three 1s.

Then, we want to find the size of the set A ∪ B, which consists of bit strings that satisfy either condition.

The size of A can be calculated as follows:

since the first two digits must be 0, the remaining five digits can be any combination of 0s and 1s,

so there are \(2^5 = 32\) possible strings that begin with two 0s.

Similarly, the size of B can be calculated as follows:

since the last three digits must be 1, the first four digits can be any combination of 0s and 1s,

so there are\(2^4 = 16\) possible strings that end with three 1s.

However, we have counted the strings that both begin with two 0s and end with three 1s twice.

To correct for this, we need to subtract the number of strings that belong to both A and B from the total count.

The strings that belong to both A and B must begin with two 0s and end with three 1s, so they have the form 00111xxx,

where the x's can be any combination of 0s and 1s.

There are \(2^3 = 8\) such strings.

Therefore, the total number of bit strings of length seven that either begin with two 0s or end with three 1s is:

|A ∪ B| = |A| + |B| - |A ∩ B| = 32 + 16 - 8 = 40.

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Answer:

4h+1.5

Step-by-step explanation:

Answer:

i didnt get it

Step-by-step explanation:

can you explain

The function has one saddle point at (0, 0) and two local minima at (-√3, 0) and (√3, 0) based on the Second Derivative Test. To classify these points as local maxima, local minima, or saddle points, we use the Second Derivative Test.

To find the critical points, we take the partial derivatives of f(x, y) with respect to x and y and set them equal to zero. This yields two equations: ∂f/∂x = 12 - 3x^2 = 0 and ∂f/∂y = -4y + 4y^3 = 0. Solving these equations, we find three critical points: (0, 0), (-√3, 0), and (√3, 0).

Next, we compute the second partial derivatives: ∂^2f/∂x^2 = -6x and ∂^2f/∂y^2 = -4 + 12y^2. Evaluating these second derivatives at each critical point, we find that at (0, 0) we have ∂^2f/∂x^2 = 0 and ∂^2f/∂y^2 = -4, indicating a saddle point.

For the points (-√3, 0) and (√3, 0), we have ∂^2f/∂x^2 = -6(-√3) = 6√3 > 0 and ∂^2f/∂y^2 = -4 + 12(0)^2 = -4 < 0. Therefore, these points satisfy the conditions for a local minimum.

In conclusion, the function has one saddle point at (0, 0) and two local minima at (-√3, 0) and (√3, 0) based on the Second Derivative Test.

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Answer:

98.1°F ≤ x ≤ 99.1°F

Step-by-step explanation:

Given the function:

f(x) = |98.6 - x|

Variance = 0.5

98.6°F - x = ± 0.5

Lower bound :

98.6 - 0.5 ≤ x

98.1 ≤ x

Upper bound :

x ≤ 98.6 + 0.5

x ≤ 99.1

Hence,

98.1°F ≤ x ≤ 99.1°F

Answer:

3 more girls than boys.

Step-by-step explanation:

Let's change 4:5 to 4x(boys) and 5x(girls).

Since there are 27 students, the equation would be:

4x+5x=27

Then, you simplify the equation:

9x=27

x=3

We are not finished yet!

Since there is 4x boys and 5x girls,

do 4 times 3 which gets you 12 boys

and 5 times 3 which gets you 15 girls.

15 girls minus 12 boys is 3 more girls than boys!

Hope this helps :)

Answer:

4. 56 ft²

Step-by-step explanation:

SA = (4×4)+(4×½×4×5)

= 16+40

= 56

Answer:

Based on this construction, CB = 16  units and AB =  32

units.

Step-by-step explanation:

CB is the same number as AC, which is 16 units. They meet at the same end point, C.

AB is just AC, and CB combined. 16 + 16 = 32 units.

As per perpendicular bisector of a line, CB is 16 units and AB is 32 units.

"A perpendicular bisector is a line that bisects another line segment at a right angle, through the intersection point."

In the given diagram, the line drawn on AB and passes through the point C is the perpendicular bisector of the line AB.

Therefore, \(AC = CB = \frac{1}{2}AB\)

Given, \(AC = 16\) units.

Therefore, \(CB = 16\) units.

Now,

\(AB\\= 2AC\\\)

\(= 2(16)\) units

\(= 32\) units  

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(a) People in North Campus would choose to join the UConn Drivers pool (b) Drivers in Alumni Quad would not choose to join the UConn Drivers pool

(a) People in North Campus would still choose to join the UConn Drivers pool if each driver contributes an amount proportional to their own expected loss. This is because the proportional contribution ensures that they only pay for their own losses, reducing their individual financial risk.

(b) Drivers in Alumni Quad would not choose to join the UConn Drivers pool if each driver contributes an amount proportional to their own expected loss. This is because their expected losses are higher than those in the UConn Drivers pool, and joining the pool would mean sharing the losses of drivers with lower expected losses, which would increase their financial burden.

Gampel Insurance Company is expected to break even for the year because the actual losses for both North Campus and Alumni Quad drivers come in exactly at the expected loss. Since there are no additional expenses or profits, the premiums collected from the drivers will cover the expected losses, resulting in a break-even financial result for Gampel Insurance Company.

(a) The expected loss for each member of the new pool of Alumni Quad Drivers would be equal to the expected loss of the individual drivers in the Alumni Quad group.

(b) The standard deviation of loss for each member of the Alumni Quad Drivers would be equal to the standard deviation of loss of the individual drivers in the Alumni Quad group.

(a) The expected loss for each member of the new 8-person pool (UConn Drivers) would be the sum of the expected losses of the individual drivers from both North Campus and Alumni Quad.

(b) Directionally, the standard deviation for the members of the UConn Drivers pool would be lower than the standard deviations of each of the smaller pools (North Campus Drivers and Alumni Quad Drivers). Combining the risks of the drivers from different pools helps diversify the overall risk, resulting in a lower overall standard deviation compared to the individual pools.

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The linear function y = (1/2)x + 1 represents a line that passes through the points (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4). The line rises as it moves to the right and intersects the y-axis at (0, 1).

To plot the ordered pairs for the given linear function y = (1/2)x + 1, we will substitute the values from the domain D = {-8, -4, 0, 2, 6} into the equation and calculate the corresponding values for y.

Let's calculate the y-values for each x-value in the domain:

For x = -8:

y = (1/2)(-8) + 1

y = -4 + 1

y = -3

So, the ordered pair is (-8, -3).

For x = -4:

y = (1/2)(-4) + 1

y = -2 + 1

y = -1

The ordered pair is (-4, -1).

For x = 0:

y = (1/2)(0) + 1

y = 0 + 1

y = 1

The ordered pair is (0, 1).

For x = 2:

y = (1/2)(2) + 1

y = 1 + 1

y = 2

The ordered pair is (2, 2).

For x = 6:

y = (1/2)(6) + 1

y = 3 + 1

y = 4

The ordered pair is (6, 4).

Now, let's plot these ordered pairs on a coordinate plane. The x-values will be plotted on the x-axis, and the corresponding y-values will be plotted on the y-axis.

The points to plot are: (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).

After plotting the points, we can connect them with a straight line to represent the linear function y = (1/2)x + 1.

The graph should show a line that starts in the lower left quadrant, rises as it moves to the right, and intersects the y-axis at the point (0, 1).

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15 : 5 = 15 : 5

15 : 5 =  1 : 0.33333333333333

=  3 : 1

=  3 : 1

15

15 + 5

= 75%

Answer:

B

Step-by-step explanation:

15:5 compares wins to losses and 15:22 compares wins to games.

The statistical test that should be done to determine if there is a significant difference is the independent t-test.

What're is an independent t-test?

It should be noted the independent t-test or students t-test for two samples should be used.

The Independent Samples T-Test compares the means of two independent groups to determine whether there is statistical evidence that the associated population means are significantly different.

In this case, the biology department needs to decide which lab curriculum yields better student outcomes, the.t text can be applicable.

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Answer:

150

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25, and so on

Answer:

1548.7 in³

Step-by-step explanation:

Given that :

Volume of ball = 524 in³

Volume of a cube = s³

Where, s = 12.75 inches

Volume of cube = 12.75 * 12.75 * 12.75 = 2072.671875 in³

The volume of air inside the cube :

(volume of cube - volume of ball)

(2072.671875 - 524) in³

= 1548.671875 in³

= 1548.7 in³ (nearest tenth)

Answer:

13.33 %

23.33 %

Step-by-step explanation:

Simple probability question.

The relative frequency of people who chose comedies, would be 4/30 => 4/30*100 = 13.33 %

The relative frequency of people that chose horror, would be 7/30 => 7/30*100 = 23.33 %

In rectangles P and Q, where the area of rectangle Q is 10% less than the area of rectangle P, we have the ratio of x:y = 25:18.

The area of a rectangle is the product of its length and its width.

In the question, we are given two rectangles:-

Rectangle P:

length = 40 cm,

width = x cm,

Thus, the area = length * width = 40x.

Rectangle Q:

length = 25% more than the length of P = 40 + 25% of 40 = 40 + 0.25*40 = 40 + 10 = 50 cm.

width = y cm,

Thus, the area = length * width = 50y.

Now, we are given that, the area of rectangle Q is 10% less than the area of rectangle P.

Thus, we can write that,

Area of rectangle Q = Area of rectangle P - 10% of the area of rectangle P,

or, 50y = 40x - 10% of 40x,

or, 50y = 40x - 0.10*40x,

or, 50y = 40x - 4x,

or, 50y = 36x,

or, y = 36x/50.

We are asked to find the ratio of x:y = x/y.

Substituting y = 36x/50, we get,

x/y = x/(36x/50) = 50x/36x = 25/18.

Thus, the ratio x:y = 25:18.

Thus, in rectangles P and Q, where the area of rectangle Q is 10% less than the area of rectangle P, we have the ratio of x:y = 25:18.

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