Help please and thank you

Answer:

(4,2)

Step-by-step explanation:

-3x+5y=-2

3x+7y=26

I will add the two equations to eliminate x

-3x+5y=-2

3x+7y=26

---------------------

0x + 12y = 24

Divide by 12

12y/12 = 24/12

y =2

Now find x

3x+7y =26

3x+7*2 =26

3x+14= 26

Subtract 14 from each side

3x+14-14 =26-14

3x= 12

Divide by 3

3x/3 =12/3

x=4

Answer:

found:

x=−3

y=5

Explanation:

I would multiply the first equation by −4 and the second by 3 and add together the two equatins (in columns):

{−12x−28y=−104

{12x+15y=39

0−13y=−65

So: y=6513=5

Substitute back this value into the first equation:

3x+7⋅5=26

3x=26−35=−9

x=−93=−3

Step-by-step explanation:

Its second

Answer:

Joan's older sister weighs 90 pounds

Step-by-step explanation:

x = older sister

x - 10 = Joan

(x + (x-10))/2 = 85

2x - 10 = 170

2x = 180

x = 90

Answer:

90 pounds

Step-by-step explanation:

We can set up an equation to find their weights.

Let's start by naming Joan's weight x.

Her sister's weight would then be x+10, since Joan weighs 10 pounds less.

To find the average between 2 numbers, you need to add them together, then divide by 2.

So we can set up the following equation:

(x+x+10)/2=85

Now let's isolate x.

We can first multiply both sides by 2.

x+x+10=170

Combine like terms.

2x+10=170

Subtract 10 from both sides.

2x=160

Subtract both sides by 2.

x=80

Joan weighs 80 pounds.

x+10 is her sister's weight.

80+10=90

Joan's older sister weighs 90 pounds.

- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

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When two angles in a plane share a vertex and a side but no common interior points, they are called adjacent angles

The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.

Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

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This is an exponential function.100 is the initial number of bacteria thus options (A) and (E) are correct.

In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

As per the given exponential function,

y = 100(1.20)ˣ

The initial number of bacteria put x = 0

y = 100(1.20)⁰ = 100

Hence "This function has an exponential shape. There are initially 100 bacteria".

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a. To determine the probability of exactly three successes when n = 5 in a binomial distribution with p = 0.2, we can use the binomial probability formula.

The formula is:

\(P(x) = C(n, x) * p^x * (1 - p)^{n - x}\)

where P(x) is the probability of getting exactly x successes, C(n, x) is the number of combinations of n items taken x at a time, p is the probability of success, and (1 - p) is the probability of failure.

Plugging in the values for this case, we have:

n = 5, x = 3, p = 0.2

P(3) = C(5, 3) * (0.2)³ * (1 - 0.2)⁽⁵⁻³⁾

Calculating this expression will give us the probability of exactly three successes when n = 5.

b. Similar to part a, we can use the binomial probability formula to find the probability of exactly three successes when n = 6 and p = 0.2. Plugging in the values:

n = 6, x = 3, p = 0.2

P(3) = C(6, 3) * (0.2)³ * (1 - 0.2)⁽⁶⁻³⁾

Calculating this expression will give us the probability of exactly three successes when n = 6.

c. Again, using the same binomial probability formula, we can find the probability of exactly three successes when n = 7 and p = 0.2.

Plugging in the values:

n = 7, x = 3, p = 0.2

P(3) = C(7, 3) * (0.2)³ * (1 - 0.2)⁽⁷⁻³⁾

Calculating this expression will give us the probability of exactly three successes when n = 7.

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An eigenvalue of a matrix is a scalar value that satisfies the equation ax = λx for some vector x. If a is an n × n matrix, then if ax = λx for some vector x, λ is an eigenvalue of a

An eigenvalue of a matrix is a scalar value that satisfies the equation ax = λx for some vector x. If a matrix a is an n × n matrix, then the equation ax = λx can be used to find the eigenvalues associated with the matrix. By taking the equation ax = λx and rearranging it, we can isolate the eigenvalue λ on the left side of the equation, leaving the vector x on the right side. λ is then the eigenvalue of the matrix a. For example, if we have a 2 x 2 matrix a, and we have an equation of the form ax = λx, where x is a 2-dimensional vector, then by rearranging the equation we can find the eigenvalue λ associated with the matrix a. In summary, if a is an n × n matrix and ax = λx for some vector x, then λ is an eigenvalue of a.

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Answer:

y=4x+b

Step-by-step explanation:

y = number of shoes isabelle has b = number of shoes leon has

The required solutions of the situation of the function are  x = 3/4  or x = -1/4.

A unique connection where each input only produces one output. A common notation for it is "f(x)," where x denotes the input value. as in f(x) = x/2 ("f of x equals x divided by 2") Since there is only one output ("x/2") for each input ("x"), it is a function: • f(2) = 1.

We have,

f(x)=2x-1

g(x)=3/8x

To find the value of x for f(x) = g(x).

f(x) = g(x)

2x-1 = 3/8x

16x² - 8x = 3

16x² - 8x - 3 = 0

16x² - 12x + 4x - 3 = 0

4x(4x - 3) + (4x - 3) = 0

(4x - 3)(4x + 1) = 0

x = 3/4  or x = -1/4

Thus, required solution are  x = 3/4  or x = -1/4.

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Answer:

20705.875

Step-by-step explanation:

Area of a pentagon is 1/2 * P * A  p being the perimeter of the pentagon and a being the apothem.  1/2 * 548.5 * 75.5 equals 20705.875.  I'm almost positive this is correct.  So sorry if it's not.  Have a good day/night!

Answer:

$15.65 per hour

Step-by-step explanation:

125.20 / 8 = 15.65

Check

15.65 x 8 = 125.20

Solution:

Given the piecewise rectangle;

The missing side is 7cm.

Thus, the perimeter of the figure is;

ANSWER: 52cm

Answer: x≥3

Step-by-step explanation:

a) If the confidence level had been 90% instead of 98%, the new confidence interval would be (0.325, 0.475).

b) If the sample size had been 255 instead of 170, the new confidence interval would be (0.292, 0.508).

c) If the confidence level had been 99% instead of 98%, the new confidence interval would be (0.304, 0.496).

a) First, we find the mean of the original confidence interval:

Mean = (Lower Limit + Upper Limit) / 2 = (0.313 + 0.487) / 2 = 0.4

Margin of Error = (Upper Limit - Mean) = (0.487 - 0.4) / 2 = 0.0435

New Margin of Error = Margin of Error * \((Z_{90} / Z_{98})\)

where \(Z_{90}\) is the critical value for a 90% confidence level, and \(Z_{98}\) is the critical value for a 98% confidence level.

From the standard normal distribution table, we find:

\(Z_{90}\) ≈ 1.645

\(Z_{98}\) ≈ 2.326

New Margin of Error = 0.0435 * (1.645 / 2.326) ≈ 0.0306

Finally, we construct the new confidence interval using the adjusted margin of error:

New Confidence Interval = (Mean - New Margin of Error, Mean + New Margin of Error)

                     = (0.4 - 0.0306, 0.4 + 0.0306)

                     ≈ (0.3694, 0.4306)

Therefore, the new confidence interval at a 90% confidence level would be approximately (0.369, 0.431) when rounded to three decimal places.

b) Standard Error = \(\sqrt{(p_{hat} * (1 - p_{hat})) / n}\)

where \(p_{hat}\) is the sample proportion and n is the sample size.

Given that the sample size increases to 255 while the sample proportion remains the same, the new sample proportion is:

\(p_{hat}\) = 68 / 255 ≈ 0.267

Standard Error = sqrt((0.267 * (1 - 0.267)) / 255) ≈ 0.028

For a 98% confidence level, the critical value is \(Z_{98}\) ≈ 2.326.

New Margin of Error = \(Z_{98}\) * Standard Error = 2.326 * 0.028 ≈ 0.065

New Confidence Interval = (\(p_{hat}\) - New Margin of Error, \(p_{hat}\) + New Margin of Error)

                     = (0.267 - 0.065, 0.267 + 0.065)

                     ≈ (0.202, 0.332)

Therefore, the new confidence interval with a sample size of 255 would be approximately (0.202, 0.332) when rounded to three decimal places.

c) From the standard normal distribution table, we find:

\(Z_{99}\) ≈ 2.576

New Margin of Error = Margin of Error * (\(Z_{99}\) / \(Z_{98}\)) = 0.0435 * (2.576 / 2.326) ≈ 0.0482

New Confidence Interval = (Mean - New Margin of Error, Mean + New Margin of Error)

                     = (0.4 - 0.0482, 0.4 + 0.0482)

                     ≈ (0.3518, 0.4482)

Therefore, the new confidence interval at a 99% confidence level would be approximately (0.352, 0.448) when rounded to three decimal places.

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The dimensions and area of Sergio's garden are 5 yards and 25 square yards respectively

The given parameters are

Perimeter = 20 yards

For the rectangle to have the greatest are, the rectangle must be a square

So, the dimension is

Length = Perimeter/4

This gives

Length = 20/4

Evaluate

Length = 5

The area of Sergio's garden is

Area = 5 * 5

Evaluate

Area= 25

Hence, the dimensions and area of Sergio's garden are 5 yards and 25 square yards respectively

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Answer:

76; 20

Step-by-step explanation:

s = small room = 2

l = large room = 4

14s + 12l = 28 + 48 = 76

as I said before s = 2 and l = 4

s*s + l*l = 2*2 + 4*4 = 4 + 16 = 20

Answer:

14 small rooms and 12 large rooms: 76

"s" small rooms and "l" large rooms: 20

Step-by-step explanation:

14 small rooms and 12 large rooms:

2(14)+4(12)

28+48=

76

s small rooms and l large rooms:

2s+4l

Answer:

(a) similar

Step-by-step explanation:

20/10 = 1/2

8/4 =1/2

22/11 =1/2

The sides are proportional in the same ratio hence they are similar triangles

Answer:

a

Step-by-step explanation:

it is not D because if it was a replica it would be exactly the same. If it was a conjourent than it would be if all three corresponding sides are equal and all the three corresponding angles are equal in measure. so it leaves similar

The graphed quadratic equation, in vertex form, is:

y = 3*(x - 2)^2 - 5

So the correct option is C.

Remember that for a quadratic equation with a leading coefficient a and a vertex (h, k), the vertex form is:

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

Here we can see that the vertex is at the point (2, -5), replacing that we will get:

y = a*(x - 2)^2 - 5

We also can see that the parabola passes through (0, 7), then we can replace that to get:

7 = a*(0 - 2)^2 - 5

7 = 4a - 5

7 + 5 = 4a

12/4 = a

3 = a

The quadratic equation is:

y = 3*(x - 2)^2 - 5

The correct option is C.

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Answer:

The answer is "Linear function".

Step-by-step explanation:

Linear features would be those that have a linear graph. Its following location identified to a linear function, that is \(\bold{f(x) = a+bx}\).

This function had a variable one of reliant to its variable, which is "x", and it's distinct and the response variable is reliant.

please find the attachment of the graph.

Answer:

57.5

Step-by-step explanation:

Answer:

3:1

Step-by-step explanation:

For every 3 woodwinds, there is 1 percussion.

Note:

6:2, 9:3, 12:4 are equivalent to 3:1.

Every time you add 3 to the first value, and 1 to the second value.

Answer:

3:1

Step-by-step explanation:

it is pretty self-explanatory. For every x amount of percussionists there are y amount of woodwinds.

y:x

y=3

x=1

3:1

Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

The probability that the duration of a particular rainfall event at the airport location is at least 2 hours is approximately 0.4936.

The probability that the duration of a particular rainfall event at the airport location is at least 2 hours can be calculated using the exponential distribution with a mean value of 2.635 hours.

The exponential distribution is characterized by the parameter λ, which represents the rate parameter. The rate parameter λ is the reciprocal of the mean (λ = 1/mean).

In this case, the mean value is given as 2.635 hours. Therefore, the rate parameter λ can be calculated as:

λ = 1/2.635 ≈ 0.3799

The probability that the duration of a particular rainfall event is at least 2 hours can be obtained by integrating the exponential probability density function (PDF) from 2 hours to infinity:

P(X ≥ 2) = ∫[2, ∞] λ * e^(-λx) dx

To solve this integral, we can use the complementary cumulative distribution function (CCDF) of the exponential distribution, which is given by:

P(X ≥ x) = e^(-λx)

Substituting the values, we have:

P(X ≥ 2) = e^(-0.3799 * 2) ≈ 0.4936

The probability that the duration of a particular rainfall event at the airport location is at least 2 hours is approximately 0.4936. This means that there is a 49.36% chance that a rainfall event will last for 2 hours or longer, based on the given exponential distribution with a mean value of 2.635 hours.

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The five challenges that may arise while creating a recruitment plan and communicating with managers in this scenario could be: Cultural Differences, Language Barriers, Legal and Regulatory, Talent Pool Assessment and Logistics and Coordination.

Cultural Differences: Understanding and navigating cultural differences can be a challenge while communicating with managers from different regions, as cultural norms and expectations vary across countries.

Language Barriers: Communication difficulties may arise due to language barriers, especially when interacting with managers who may not be fluent in English or the company's primary language.

Legal and Regulatory Compliance: Ensuring compliance with local labor laws, regulations, and employment practices can be challenging, as each country may have its own unique requirements and regulations regarding recruitment and employment.

Talent Pool Assessment: Assessing the availability and quality of talent in the Philippines can be a challenge, as the company is expanding into a new market. Understanding the local talent landscape and competition can help in designing an effective recruitment strategy.

In domestic HR roles, the focus is primarily on managing HR functions within a single country, often with consistent laws, regulations, and cultural practices. The recruitment processes are usually streamlined and tailored to local practices. Communication with managers and employees is typically easier due to shared language and cultural understanding.

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Answer:

20 minutes

4:00 - 3:40 = 20 minutes

Answer:

20 minutes

Step-by-step explanation:

Answer:

2789.73cm^2(2 d.p)

Step-by-step explanation:

SA: 2πr^2+2πrh

=2π12^2+2π12x25

Kelly made at least $28 in 75% of the weeks she worked.

To determine the amount Kelly made in at least 75% of the weeks she worked, we need to first arrange the dollar amounts in ascending order:
16, 18, 21, 21, 28, 28, 32, 35
Next, we need to find the value that represents 75% of the weeks worked.

Since Kelly worked for 7 weeks, we can calculate 75% of 7 weeks as follows:
(75/100) x 7 = 5.25.
Since we cannot have a fraction of a week, we will round up to the nearest whole number, which is 6.

Therefore, we will consider the first 6 weeks of earnings.
Now, we will identify the amount earned in the 6th week:
16, 18, 21, 21, 28, 28, 32, 35.
The amount earned in the 6th week is $28.

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The annual premium of Susie's insurance company apply as a result of accident is $255 for an year. This is because the monthly insurance payment has been increased by $21.25.

What is Health insurance?

Health insurance or the medical insurance is an insurance which covers the whole or a part of the risk of a person which is incurring the medical expenses. Depending upon the health insurance plan, the risk is shared among many individuals.

Main body:

The increase in monthly insurance payment = $21.25

So, the annual increase in the premium amount paid by Susie will be:

Monthly increase in insurance payment × 12

(As there are 12 months in an year)

Annual increase in premium amount = $21.25 × 12

Annual increase in premium amount = $255

Therefore, the annual increase in the amount of premium paid by Susie for health insurance is $225.

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