Number of solutions to equations -2+10+7z=16z+7

To find the average value of the function f(x, y) = 7xy over the triangular region defined by vertices (0, 0), (1, 0), and (1, 8), compute the area of the triangle and then calculate the double integral of the function over the region, divided by the area. The bounds for the double integral will be defined by the region.

To find the average value of f over the given triangular region, we first need to find the area of the region. The given region is a triangle with vertices (0, 0), (1, 0), and (1, 8). This triangle has a base of 1 (the difference in x coordinates) and a height of 8 (the difference in y coordinates), so its area is (1/2)*base*height=(1/2)*1*8=4.

Next, we integrate the function f(x, y) = 7xy over the triangular region, and divide by the area of the region, to find the average value. Setting up and computing the double integral will provide the total value of the function over the region. The bounds for the double integral will be defined by the region, so we will integrate x from 0 to 1 and y from 0 to 8. The average value is then given by the total value divided by the area, or (1/4)*double integral of f(x, y) dy dx.

Without performing the actual calculation, this is the best process to solve the problem as presented.

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You can use it when like confirming a policy. You can use it when like confirming a policy.

The calculated z-score is -2.5, and the corresponding probability is 0.9938, meaning there is a 99.38% chance of drawing a sample with a mean greater than 75.

To find the probability of obtaining a sample mean greater than m = 75 for a sample of n = 25 scores when the population mean is m = 80 and the standard deviation is s = 10, we will use the concept of sampling distributions and the Central Limit Theorem.

First, we need to calculate the standard error of the mean (SEM), which is the standard deviation of the sampling distribution of the sample mean.

The SEM is calculated using the formula [tex]SEM = s / \sqrt{n[/tex] where s is the population standard deviation and n is the sample size.

Here, SEM = [tex]10 / \sqrt{25[/tex]

= 10 / 5

= 2.

Next, we convert the sample mean to a z-score to find out how many standard errors the sample mean is from the population mean.

The z-score is calculated using the formula z = (M - m) / SEM, with M being the sample mean and m the population mean.

Therefore, z = (75 - 80) / 2 = -5 / 2 = -2.5.

Looking at the standard normal distribution table or using statistical software, we find that the probability associated with a z-score of -2.5 is approximately 0.9938. This means that the probability of obtaining a sample mean greater than 75 is 0.9938.

To average 80 km/hr for the entire trip, the truck must go at a speed of 80 km/hr during the second half of the trip.

To find out how fast the truck must go during the second half of the trip to average 80 km/hr for the entire trip, we can use the concept of average speed. Average speed is calculated by dividing the total distance traveled by the total time taken.

Let's assume the entire trip is made up of two equal halves. In the first half, the truck travels at a speed of 70 km/hr. So, if we consider the distance traveled in the first half to be 'd', the distance traveled in the second half will also be 'd'.

Therefore, the total distance traveled for the entire trip is 2d. Now, to average 80 km/hr for the entire trip, we can use the formula:Average speed = Total distance / Total time

80 km/hr = 2d / Total time

Since the time taken for the first half is the same as the time taken for the second half, we can represent the total time as '2t', where 't' is the time taken for each half.

Substituting the values, we have:80 km/hr = 2d / (2t)

Cancelling out the common factors, we get:80 = d / t

Since the distance traveled in the first half is 'd' and the time taken for the first half is 't', the speed during the second half must be '80' km/hr to average 80 km/hr for the entire trip.

To find the measures of angles ∠A and ∠B, we can use the fact that they are supplementary angles and the given relationship between their measures. By solving a system of equations, we can determine that m∠A is 135 and m∠B is 45.

To find the measures of the angles ∠A and ∠B, we need to use the fact that they are supplementary angles and the relationship between their measures. Let's start by understanding what supplementary angles are.

Supplementary angles are two angles that add up to 180 degrees. In this case, ∠A and ∠B are supplementary, so we can write the equation:

m∠A + m∠B = 180

We are also given that the measure of ∠A is three times the measure of ∠B, so we can write another equation:

m∠A = 3m∠B

Now we can substitute m∠A in the first equation with 3m∠B:

3m∠B + m∠B = 180

Combining like terms, we get:

4m∠B = 180

Finally, we can solve for m∠B by dividing both sides of the equation by 4:

m∠B = 45

Since m∠A is three times m∠B, we can find m∠A by multiplying 45 by 3:

m∠A = 135

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Final answer:

The best estimate of the total amount of cleaning products that the cleaning service orders is 1,194 Oz.

Explanation:

To find the best estimate of the total amount of cleaning products that the cleaning service orders, we need to calculate the total amount of cleaning products in the large bottles and small bottles separately and then add them together.

Each large bottle has 122 Oz, and the cleaning service orders 7 of them. So the total amount of cleaning products in the large bottles is 7 x 122 = 854 Oz.

Each small bottle has 68 Oz, and the cleaning service orders 5 of them. So the total amount of cleaning products in the small bottles is 5 x 68 = 340 Oz.

To get the best estimate of the total amount of cleaning products, we add the amounts in the large bottles and small bottles together: 854 + 340 = 1,194 Oz.

rolling a 5 is a 1/6 probability

 tossing tails is a 1/2 probability

 doing both is a 1/6 * 1/2 = 1/12 probability

Answer:

y = 11

Step-by-step explanation:

~Solve~

Let's solve your equation step-by-step.

2y+7=3y−4

Step 1: Subtract 3y from both sides.

2y+7−3y=3y−4−3y

−y+7=−4

Step 2: Subtract 7 from both sides.

−y+7−7=−4−7

−y=−11

Step 3: Divide both sides by -1.

−y

−1

=

−11

−1

y=11

Answer:

y=11

g^2 14g+40

replace g with 5

5^2 +14(5) +40 = 25 + 70 +40 = 135 square feet

Area =L x W

 using your choices multiply 15 x 9 = 135

 so answer is 15 feet by 9 feet

Yes this represents additive inverse,

 Since you are subtracting the same number 4 to get to zero.

The additive inverse of a number is simply the negation of the said number.

The given situation is an illustration additive inverse.

Given that:

[tex]Runs \ up = 4\ stairs[/tex]

[tex]Runs \ down = 4\ stairs[/tex]

Let:

[tex]x \to up[/tex]

[tex]y = down[/tex]

When Arianna runs up, we have:

[tex]x = Runs\ up[/tex]

[tex]x = 4[/tex]

When Arianna runs down, we have:

[tex]y = -Runs\ down[/tex] ---- the minus indicates a downward movement

So, we have:

[tex]y = -4[/tex]

The additive inverse of a number n is -n

E.g. The additive inverse of 7 is -7

By comparing x and y, we have:

[tex]y =-x[/tex] and [tex]x = -y[/tex]

Hence, the situation represents additive inverse.

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Answer:

35 + b = 69

Step-by-step explanation:

is the answer on khan

To calculate the probability that at least 150 individuals will cooperate and respond to the questions in a new sample of 400 telephone numbers with a historical response rate of 44%, we use the binomial distribution formula.

To calculate the probability that at least 150 individuals will cooperate and respond to the questions, we need to use the binomial distribution formula. The formula is:

P(X ≥ k) = 1 - P(X

Where n is the sample size, k is the desired number of successes, p is the historical response rate, q = 1 - p is the failure rate.

In this case, n = 400, k = 150, p = 0.44, q = 1 - 0.44 = 0.56. Plugging these values into the formula, we get:

P(X ≥ 150) = 1 - P(X<150)

We can use a software or calculator to evaluate this expression. The probability is approximately 0.9328 to 4 decimal places.

Answer:

The correct order from least to greatest is: [tex]\(-2\), \(-1.7\), \(-1.44\).[/tex]

Explanation:

To determine the correct order of the given numbers, let's first simplify them:

1. [tex]\(-\frac{17}{10}\)[/tex]  is equivalent to [tex]\(-1.7\).[/tex]

2. [tex]\(-2\)[/tex] remains as is.

3. [tex]\(-(1.2)^2 = -1.44\), as \(1.2^2 = 1.44\)[/tex]  and the negative sign is applied.

Now, we have:

1. [tex]\(-1.7\)[/tex]

2. [tex]\(-2\)[/tex]

3. [tex]\(-1.44\)[/tex]

So, the correct order from least to greatest is: [tex]\(-2\), \(-1.7\), \(-1.44\).[/tex]

Margo will pay $36 in interest after borrowing $600 with a 4% annual interest rate for 18 months. We calculate this using the simple interest formula.

The question is asking us to figure out how much interest Margo will pay after borrowing $600 with a 4% annual interest rate, or simple interest rate, over the course of 18 months. A core concept here is understanding how simple interest is calculated.

The simple interest formula we'll be using is: Interest = Principal x Rate x Time.  The Principal is the amount of money initially borrowed, Rate is the annual interest rate (in decimal form), and Time is the length of time the money is borrowed for, expressed in years.

So in Margo's case, the Principal is $600, the Rate is 4% (or 0.04 in decimal form), and Time is 18/12 or 1.5 years, because 18 months is equal to 1.5 years.

When we apply these amounts to the formula we get: Interest = $600 x 0.04 x 1.5, which equals $36. So Margo will pay $36 in interest.

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