Guys help! The image is below

Answer:

The graph represents the system of inequalities y ≤ -3x + 2 and y ≤ -x + 2 ⇒ C

Step-by-step explanation:

From the given figure

∵ The direction of each line is to left

∴ The slopes of the lines are negative

∵ The slope of the line is the coefficient of x

∴ The coefficient of x in each inequality is negative ⇒ (1)

∵ The two lines intersect the y-axis at the point (0, 2)

∴ The y-intercept of the two lines is (0, 2)

∵ The y-intercept is the numerical term in the equation

∴ The numerical term in each inequality is 2 ⇒ (2)

∵ The two lines are solids

∵ The shaded area of each one is under the line

∴ The sign of inequality in both equations is ≤ ⇒ (3)

→ Look at the answer and find which one has the 3 conditions above

∵ y ≤ -3x + 2 and y ≤ -x + 2

∴ m = -3 and m = -1 ⇒ negative coefficients of x

∴ b = 2 ⇒ numerical term

∵ The sign of inequality is ≤

∴ The graph represents the system of inequalities y ≤ -3x + 2 and y ≤ -x + 2

Answer:

B

Step-by-step explanation:

To find the value of z such that the area to the right of z is 0.5, we can use the standard normal distribution table (also known as the z-table). The z-table provides the cumulative probability to the left of a given z-value.

Since the area to the right of z is 0.5, the area to the left of z is also 0.5. We need to find the z-value that corresponds to a cumulative probability of 0.5 (or 50%).

Referring to the z-table, we find that a cumulative probability of 0.5 corresponds to a z-value of 0. This means that the area to the left of 0 is 0.5, and therefore, the area to the right of 0 is also 0.5.

Thus, the value of z when the area to the right of z is 0.5 is 0.

Therefore, the correct option is b. 0.0000.

Answer:

16 - 7 + 22 - 12 + 18 - 9 = 28

Hope it helps :)

Answer:

A. A variable

Step-by-step explanation:

Answer: 3x+12

Step-by-step explanation:

Using the distributive property we can distribute the 3 to each of the terms in the parenthesis.

Therefore, 3(x+4) -= 3x+ 3*4 = 3x +12

Answer:

Step-by-step explanation

3x + 12=0

3x= -12

x = -12/3

x= -4:

Answer:

29 is the correct answer because subtract 90 from 61 we get 29

Step-by-step explanation:

Answer:

29°

Step-by-step explanation:

We know that both angle x and angle "61°" add up to a sum of 90° because it is a right angle.

So, we would have to subtract 61 from 90 to find the missing value.

90 - 61 = 29

Therefore, x equals 29°

-kiniwih426

Answer:

That’s her nephew!

He could also be the father.

Step-by-step explanation:

Answer:

5 inches

Step-by-step explanation:

Given that :

There are two pieces of ribbon with length:

15 inches and 20 inches

To cut ribbon into equal sizes with no ribbons left ; the greatest length in inches of the ribbon would be :

Calculate the greatest common factor of both lengths : 15 inches and 20 inches

____15___20

_5__ 3___4

OR

Find the factors of 15 and 20 and pick the greatest common to both

15 : 1, 3, 5, 15

20 : 1, 2, 4, 5, 10, 20

Greatest factor common to both = 5

Hence the greatest length she can cut the ribbons into without any leftover is 5 inches

Answer:

\(7-8x+4y=-21\)

Step-by-step explanation:

\(2x-y=7 \implies 8x-4y=28 \\ \\ \implies 7-8x+4y=7-28=-21\)

To find the value of csc θ when sin θ = -2/3 and θ is in quadrant IV, we can use the fundamental identity: csc θ = 1/sin θ.

Since sin θ is given as -2/3 in quadrant IV, we know that sin θ is negative in that quadrant. Using the Pythagorean identity, we can find the value of cos θ as follows:

cos θ = √(1 - sin² θ)

       = √(1 - (-2/3)²)

       = √(1 - 4/9)

       = √(5/9)

       = √5 / 3

Now, we can find csc θ using the reciprocal of sin θ:

csc θ = 1/sin θ

       = 1/(-2/3)

       = -3/2

Therefore, csc θ is equal to -3/2.

Learn more about Pythagorean identity here:

https://brainly.com/question/24287773

#SPJ11

Answer:

It might be 231.

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

3 + jk + k3

substitute j for 2

3 + 2k + k3

substitute k for 6

3 + (2*6) + (6*3)

3 + 12 + 18

33

The median of the given list of numbers is 87.

To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

First, let's arrange the numbers in ascending order:

65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680

There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.

Visit here to learn more about median:

brainly.com/question/26177250

#SPJ11

the utilization is approximately 1.67%, which is closest to option A. 33.39%.

Given:

- The bank teller serves one customer in 5 minutes.

- The demand is 12 customers per hour.

To find the average time per customer, we can invert the rate of serving customers per minute:

Average time per customer = 1 / (12 customers/hour  60 minutes/hour) = 1 / 720 customers/minute

Utilization is defined as the ratio of time spent serving customers to the total available time. Since the total available time is 60 minutes per hour, we can calculate the utilization as follows:

Utilization = (Time spent serving customers / Total available time)  100%

Time spent serving customers = Average time per customer  Number of customers

Time spent serving customers = (1 / 720 customers/minute)  (12 customers/hour)

Time spent serving customers = 12 / 720 hours

Utilization = (Time spent serving customers / Total available time)  100%

Utilization = (12 / 720 hours) / (1 hour)  100%

Utilization = 12 / 720  100%

Utilization = 1.67%

Therefore, the utilization is approximately 1.67%, which is closest to option A. 33.39%.

Learn more about Time Calculation here:

https://brainly.com/question/30895034

#SPJ11

Answer:

10%

Step-by-step explanation:

original price = 9000

sold for 8100

price lost = 900

percentage of price lost = 900/9000 × 100

= 10 %

Hope this helps.

Percent decrease from 100 to 82 is 18% decrease.

Calculating the % decrease from 100 to 82,

\(\frac{82-100}{100}\)×100%

\(\frac{-18}{100}\)×100%

on simplifying we get,

-18%

here, negative sign indicates that there is a decrease of percentage.

Hence, we get 18% decrease from 100 to 82.

How to calculate Percent decrease?

Do the % growth and reduction calculations. By dividing the new number by the initial value, the percentage is computed.

To know more about % decrease visit: https://brainly.com/question/25677078

#SPJ1

important to know the size of the freshman classes in relation to the population size before using z-procedures in this situation, so the answer will be option C

In statistical inference, when using z-procedures such as hypothesis testing or constructing confidence intervals, one of the assumptions is that the samples are independent. In this scenario, knowing that the university had 6000 or more entering freshmen is important to ensure that the sample size is less than 10% of the population size.

The 10% condition is necessary to maintain the independence of samples. When the sample size is small relative to the population size, each sample observation has a greater impact on the population proportion, potentially violating the assumption of independence.

By ensuring that the sample size is less than 10% of the population size, we can reasonably assume that each sample observation is independent of each other. This allows us to use z-procedures and rely on the properties of the normal distribution for inference.

Learn more about statistical inference here:

https://brainly.com/question/31446570

#SPJ11

Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

To know more about  Engineers click here

brainly.com/question/30592664

#SPJ11

The percentage to be assigned for year 3 in a trend analysis is 120%.

We need to know about the percent theory first, the percent number is per 100. It can be determined by this formula

Percentage = Last Value / Base Value x 100%

From the question above, we know that :

Base Value = 750

Last Value = 900

Find the increasing percentage by substituting the parameter

Percentage = Last Value / Base Value x 100%

Percentage = 900 / 750 x 100%

Percentage = 120%

Hence, the percentage to be assigned for year 3 in a trend analysis is 120%.

Find more on percentages at: https://brainly.com/question/843074

#SPJ4

Answer: -15

Step-by-step explanation:

Answer:

Compare the treatment of the buffalo by these two groups of people.

Step-by-step explanation:

Native Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremoniesNative Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremoniesNative Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremoniesNative Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremoniesNative Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremonies

Answer:

1/2 of a minute

Step-by-step explanation:

Answer:

Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle

Step-by-step explanation:

Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle

Given:

Number of green peas = 475

Number of yellow peas = 193

Let's find the 94% confidence interval to estimate the percentage of yellow peas.

Where:

Total number of peas = 475 + 193 = 668

For the sample proportion, we have:

For a 94% confidence interval, the significance level will be:

1 - 0.94 = 0.06

For the critical value, using the z-table, we have:

Now, to find the 94% confidence interval, apply the formula::

Where:

To find the margin of error E, we have:

Thus, we have:

Hence the confidence interval will be:

Lower limit = 0.2559 ==> 25.59%

Upper limit = 0.3219 ==> 32.19 %

The confidence interval does not contain 0.25, hence we can say that the true results contradicts the expectations.

ANSWER:

The confidence interval does not contain the expectation of 25%, hence, the true results contradicts the expectation.

The subset of R3x3 which are subspaces of R3x3 are the invertible 3x3 matrices and the 3x3 matrices in reduced row-echelon form. A subspace is a subset that satisfies three conditions, namely, the subset must contain the zero vector, must be closed under vector addition, and must be closed under scalar multiplication.

Therefore, a subset of R3x3 must satisfy these conditions to be considered a subspace of R3x3.Invertible 3x3 matricesThe subset of invertible 3x3 matrices is a subspace of R3x3. This subset contains the zero matrix, which satisfies the first condition of a subspace. The subset is also closed under vector addition, that is, if A and B are invertible 3x3 matrices in the subset, then A + B is also an invertible 3x3 matrix in the subset. Furthermore, the subset is also closed under scalar multiplication, that is, if A is an invertible 3x3 matrix in the subset and k is any scalar, then kA is also an invertible 3x3 matrix in the subset.

Therefore, this subset satisfies all three conditions to be considered a subspace of R3x3.3x3 matrices in reduced row-echelon formThe subset of 3x3 matrices in reduced row-echelon form is also a subspace of R3x3. This subset contains the zero matrix, which satisfies the first condition of a subspace. The subset is also closed under vector addition, that is, if A and B are 3x3 matrices in reduced row-echelon form in the subset, then A + B is also a 3x3 matrix in reduced row-echelon form in the subset.

Furthermore, the subset is also closed under scalar multiplication, that is, if A is a 3x3 matrix in reduced row-echelon form in the subset and k is any scalar, then kA is also a 3x3 matrix in reduced row-echelon form in the subset. Therefore, this subset satisfies all three conditions to be considered a subspace of R3x3.

for such more questions on vector addition

https://brainly.com/question/2927458

#SPJ11

Answer:118

Step-by-step explanation:

Y= mx-b ....substitute the values of m,x,b

Y=(5×6)-12

y= 30-12

Y=118

An expression for the number of bacteria after t hours is \(N(t) = e^{(10 + 2t)}\).

To find an expression for the number of bacteria after t hours, given that a bacteria culture starts with e¹⁰ bacteria and grows at a rate proportional to its size, we can use the exponential growth formula:
\(N(t) = N(0) * e^{(kt)}\)
where N(t) is the number of bacteria after t hours, N(0) is the initial number of bacteria, k is the growth constant, and t is the time in hours.

First, we are given that after 3 hours there are e¹⁶ bacteria.

Let's use this information to find the growth constant k:
\(e^{16} = e^{10} * e^{(3k)} \\e^{6} = e^{(3k)}\)

Now, we can find k by dividing both sides by 3:
6 = 3k
k = 2

Now that we have the growth constant k, we can plug it into the exponential growth formula:
\(N(t) = e^{10} * e^{(2t)}\)
which is equivalent to:
\(N(t) = e^{(10 + 2t)}\)

Learn more about expression:

https://brainly.com/question/723406

#SPJ11

only Outcome D is a Pareto efficient outcome. In this given scenario, "A and D" are Pareto efficient outcomes.What is Pareto efficiency? Pareto efficiency is a state of allocation of resources in which it is impossible to make any one individual better off without making at least one individual worse off.

What are the given allocations and benefits of individuals? The net benefit for each individual in each allocation is given below: (The two numbers in each of the following brackets indicate the net benefits for individual 1 and individual 2, respectively.) Outcome A: (10, 25) Outcome B: (20, 10) Outcome C: (14, 20)Outcome D: (15, 15) Which of the outcomes are Pareto efficient?

Now, let's see which of the given outcomes are Pareto efficient: Outcome A: If we take Outcome A, then individual 1 gets 10 and individual 2 gets 25 as their net benefits. But the allocation isn't Pareto efficient because if we take Outcome B, then individual 1 gets 20 which is greater than 10 as his net benefit, and the net benefit for individual 2 would become 10 which is still greater than 25. Therefore, Outcome A isn't Pareto efficient. Outcome B: If we take Outcome B, then individual 1 gets 20 and individual 2 gets 10 as their net benefits.

But the allocation isn't Pareto efficient because if we take Outcome C, then individual 1 gets 14 which is less than 20 as his net benefit, and the net benefit for individual 2 would become 20 which is greater than 10. Therefore, Outcome B isn't Pareto efficient.Outcome C: If we take Outcome C, then individual 1 gets 14 and individual 2 gets 20 as their net benefits. But the allocation isn't Pareto efficient because if we take Outcome A, then individual 1 gets 10 which is less than 14 as his net benefit, and the net benefit for individual 2 would become 25 which is greater than 20. Therefore, Outcome C isn't Pareto efficient.

Outcome D: If we take Outcome D, then individual 1 gets 15 and individual 2 gets 15 as their net benefits. The allocation is Pareto efficient because there is no other allocation where one individual will be better off without harming the other individual.Therefore, only Outcome D is a Pareto efficient outcome.

To Know more about  Pareto efficiency  Visit:

https://brainly.com/question/30140525

#SPJ11

the hypotenuse of the right triangle is 65, and one of the legs measures 60. We need to find the length of the third side.

To find the length of the third side, we can use the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse. Therefore:a² + b² = c²where a and b are the lengths of the legs, and c is the length of the hypotenuse.

In this case, we can plug in the values that we know:60² + b² = 65²Simplifying, we get:3600 + b² = 4225Subtracting 3600 from both sides, we get:b² = 625Taking the square root of both sides, we get: b = 25Therefore, the length of the third side is 25 units long.

To know more about hypotenuse

https://brainly.com/question/16893462

#SPJ11

The following expression shows the main expression after the negative exponents have been eliminated: A. m⁷n³n/m.

In Mathematics, an exponent can be defined as a mathematical operation that is used in conjunction with an algebraic expression to raise a quantity to the power of another and it is generally written as bⁿ.

By applying the property of exponents based on the law of indices for the division of powers, we have the following:

b⁻ⁿ = 1/bⁿ

In this context, the exponent n⁻¹ in the given algebraic expression would be rewritten based on the law of indices for the division of powers as follows;

n⁻¹ = 1/n

Substituting the given parameters into the given algebraic expression, we have the following;

(m⁷n³)/mn⁻¹ = (m⁷n³)/m × n

(m⁷n³)/m × n = (m⁷n³n)/m

(m⁷n³)/mn⁻¹ = m⁷n³n/m

Read more on exponent here: https://brainly.com/question/9524319

#SPJ1

Answer:

Step-by-step explanation:

its A

\(\huge{ \mathfrak{  \underline{ Answer \:  \:  ✓ }}}\)

The Angle formed by an arc on the centre of the circle is double the angle made by the same arc on the circumference of the circle.

So,

\( \boxed{ \mathrm{ \angle TDB = \dfrac{1}{2} \angle TPB }}\)

_____________________________

\(\mathrm{☠ \: TeeNForeveR \: ☠}\)