solve the system of equations graphically. clearly label and/or state the solution as an ordered pair. show your completed graph

Answer:

Yes

Step-by-step explanation:

If it was division or multiplication it wouldn't be required however for adding and subtracting you need a common denominator

Answer:

18 - 33= -15

Step-by-step explanation:

18 is from how much he currently has

subtract 33 is how much he has to pay

-15 is how much money he is going to be in debt

Answer:

Step-by-step explanation:

-3/8, - 3/4, - 3, - 2. 5, 1/4, 8/5 3.1, 6

Answer:

control group

Step-by-step explanation:

control group or experimental group as the researcher is performing the treatment to get the desired results.

Answer:1 terabyte=8et12

Step-by-step explanation:

Answer:

2080.50 = 970.50 - 74p

Step-by-step explanation:

........

Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

took the test

Answer:

No. two inputs cannot have the same output

Step-by-step explanation:

This is not a function because -2 and 2 have the same output which is 4

HOPE THIS HELPS :)

The confidence interval for the mean value of y when x = 15 cannot be determined without additional information about the data, such as the sample size, the standard deviation, and the level of significance.

To calculate a confidence interval, we need to know the sample size, the sample mean, and the standard deviation. With this information, we can use a t-distribution to calculate the interval. However, the question does not provide any of this information, making it impossible to determine the confidence interval for the mean value of y when x = 15.

Additionally, the level of significance (alpha) must also be specified to determine the appropriate critical value from the t-distribution. Without this information, we cannot calculate the confidence interval.

Therefore, it is necessary to have more information about the data to calculate the confidence interval.

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If 3 appears on the first die, then the sum of the numbers on the two dice can be 8 only if 5 appears on the second die. The probability of rolling a 5 on a single die is 1/6, so the probability of rolling a 3 and a 5 on two dice is 1/6 * 1/6 = 1/36. This means that the probability of rolling a sum of 8 when 3 appears on the first die is 1/36.

Answer:

k=9

Step-by-step explanation:

K=9, because if you plug in 9 as k(2(9)=18)the equation is true.

Answer:

k=9

Step-by-step explanation:

2 × 9 = 18 which is the same as 9 + 9=18

Answer:Park rangers released 4 fish into a pond in year 0. Each year, there were three times as many fish as the year before. How many fish were there after x years? Write a function to represent this scenario.

Step-by-step explanation:

An function which best represent the given scenario is,  4 x 3ˣ. So option B is correct.

What is geometric progression?

In algebra, in sequence we study various progressions, one of the progression is geometric, in this progression for every two consecutive terms, the common ratio is the same.

Formula for nth term of G.P.,

Tₙ = a×rⁿ

where a is first term and r is common ratio

Given that,

Park rangers released 4 fish into a pond in year 0.

Each year, there were three times as many fish as the year before.

The number of fish after x years = ?

After 1 year,

the number of fish  =  4 x 3

After 2 year,

the number of fish  = 4 x 3 x 3

                               = 4 x 3²

After 3 year,

the number of fish = 4 x 3² x3

                              = 4 x 3³

Similarly, after x years

the number of fish =  4 x 3ˣ

Hence, the expression is  4 x 3ˣ

The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

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The monthly repayment on the following hire-purchase agreement is £22.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a colour TV costs £640. The deposit was £200. The interest rate was 10% p.a. and it was paid off in two years.

The monthly repayment will be calculated as,

Total interest for two years = ( 640 - 200 ) x 1.2

Total interest for two years = ( 440 x 1.2 )

Total interest for two years = £528

The value of monthly repayment = 528 / 24 = £22

Therefore, the monthly repayment on the following hire-purchase agreement is £22.

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Answer: $119.00

Step-by-step explanation:

To calculate the pay for the day, we need to determine the number of hours worked in the morning and the number of hours worked in the afternoon.

The morning shift starts at 8:00 AM and ends at 12:15 PM, which is a total of 12:15 - 8:00 = 4 hours and 15 minutes. The afternoon shift starts at 1:00 PM and ends at 5:15 PM, which is a total of 5:15 - 1:00 = 4 hours and 15 minutes.

Since there are 60 minutes in an hour, the total number of hours worked in the morning is 4 hours + 15 minutes / 60 minutes = 4.25 hours. The total number of hours worked in the afternoon is also 4.25 hours.

The total number of hours worked on the day is 4.25 + 4.25 = 8.5 hours.

To find the pay for the day, we need to multiply the number of hours worked by the wage rate:

Pay = 8.5 hours * $14/hour = $119

Rounding this number to the nearest hundredth gives us $119.00.

Answer:

C

Step-by-step explanation:

according to the standard equation;

Y=mX+C

or, Y=4/5X +3

Answer:

4.9

Step-by-step explanation:

We should use a sample size of at least 154 to estimate the mean fuel efficiency for the new type of motorcycle within 0.5 mpg. The confidence interval in Part A is between 60.725 and 65.555 mpg.

To construct a 95% confidence interval for the mean fuel efficiency for this vehicle, we can use the formula:

Confidence interval = sample mean ± (critical value) * (standard deviation / sqrt(sample size))

First, let's calculate the sample mean and standard deviation for the given data:

Sample mean = (57.5 + 62.3 + 67.2 + 58.1 + 59.6 + 71.9 + 55.2 + 57.6 + 71.9 + 68.8 + 69.1 + 65.3 + 62.3 + 64.7 + 59.9 + 62.1 + 63.5 + 62.9 + 66.7 + 61.3) / 20

= 63.14

Sample standard deviation = √(((57.5 - 63.14)² + (62.3 - 63.14)² + (67.2 - 63.14)² + ... + (61.3 - 63.14)²) / 19)

= 4.97

Next, we need to find the critical value for a 95% confidence level. Since the sample size is small (20), we will use a t-distribution. The degrees of freedom for this calculation is 20 - 1 = 19. Consulting a t-table or using statistical software, we find the critical value to be approximately 2.093.

Plugging the values into the formula, we get:

Confidence interval = 63.14 ± (2.093) * (4.97 / √(20)) ≈ 63.14 ± 2.415

Interpreting the confidence interval, we can say with 95% confidence that the true mean fuel efficiency for this vehicle falls between 60.725 and 65.555 mpg.

To determine if the new motorcycle has greater fuel efficiency than the previous model, we can perform a hypothesis test. The null hypothesis (H0) is that there is no difference in fuel efficiency between the two models, and the alternative hypothesis (Ha) is that the new model has greater fuel efficiency.

We can use a t-test to compare the means of two independent samples. The test statistic is calculated as:
t = (sample mean 1 - sample mean 2) / sqrt((sample variance 1 / sample size 1) + (sample variance 2 / sample size 2))

For this case, the sample mean for the new model is 65.9 mpg, and the sample standard deviation is 3.2 mpg. The sample mean and standard deviation for the previous model were calculated in Part A. We can use the same sample size of 20 for both models.

Calculating the test statistic:

t = (65.9 - 63.14) / √((4.97² / 20) + (3.2² / 20))

t ≈ 1.376

Looking up the critical value for a t-distribution with 20 - 1 = 19 degrees of freedom at a 95% confidence level, we find it to be approximately 2.093.

Since the test statistic (1.376) is less than the critical value (2.093), we do not have enough evidence to convincingly claim that the new model has greater fuel efficiency than the previous model.

To construct a 98% confidence interval for the mean fuel efficiency of the older model, we can use the same formula as in Part A. The only difference is the critical value. For a 98% confidence level, the critical value for a t-distribution with 20 - 1 = 19 degrees of freedom is approximately 2.861.

Plugging the values into the formula:

Confidence interval = 63.14 ± (2.861) * (4.97 / √(20))

≈ 63.14 ± 3.303

Interpreting the confidence interval, we can say with 98% confidence that the true mean fuel efficiency for the older model falls between 59.837 and 66.443 mpg.

The change in confidence level from 95% to 98% does not change the conclusion in Part B. The hypothesis test is based on comparing the test statistic to the critical value, and the confidence interval is based on the sample mean and standard deviation. The change in confidence level does not alter these values or the comparison between them.

To estimate the mean fuel efficiency for the new type of motorcycle within 0.5 mpg, we need to calculate the sample size required. The formula for the sample size is:

Sample size = (Z-score * standard deviation / margin of error)²

Plugging in the values:

Z-score = critical value for the desired confidence level (let's assume 95%)

Standard deviation = 3.2 mpg (from the given data)

Margin of error = 0.5 mpg

Using a Z-score of approximately 1.96 for a 95% confidence level:

Sample size = (1.96 * 3.2 / 0.5)² ≈ 153.86

We should use a sample size of at least 154 to estimate the mean fuel efficiency for the new type of motorcycle within 0.5 mpg.

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The advantages of the 'Monthly Reporting Form' are given below:a) Reduced administrative hassle compared to single shot: Monthly reporting forms reduce the workload of administrative work that may have been required if it was a single-shot.

For instance, when it comes to accounting and finance, monthly reporting can help to reduce the administrative burden that comes with running a business. This is because monthly reporting makes it easier to keep track of financial data, ensuring that records are updated on a more frequent basis.

There is a lower rate associated with monthly reporting forms as they can offer a reduction in cost compared to single-shot options. This is because they can save time and money in the long run, reducing the amount of work and administration required to keep track of things.

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Answer:

L

Step-by-step explanation:

Here, we want to get the circle center

The diameter is a chord that passes through the center of the circle

looking at the given diagram, we can see chords SM and MN

Between this two, we can see that it is SM that passes through the center

Looking at the diagram, we can conclude that L is the circle center where the diameter SM passes

Answer:

A customer purchased a furniture for Rs. 3390 with 13% VAT . Find the cost of the furniture without VAT?

According to the claim, cross product properties rather than determinants are used to define the vector i + j + k. By usig the supplied vectors a * (b *c) is < 27, -27, 18> and (a * b) * c is < 27, -27, 0>

A vector is a quantity or phenomenon with independent properties both to and direction. The scientific or geometrical depiction of a quantity is another meaning of the word. Among the components of vectors seen in nature are force, weight, electric interfering, and movement.

1). (j-k) * (k-i)

= (j*k) - (j*i) - (k*k) + (k*i)

= I - (-k) - (0) + (j) (j)

= i + j + k

(2). (a). (b*c)

\(\left|\begin{array}{ccc}j & j & k \\-3 & 3 & 0 \\0 & 0 & -3\end{array}\right|\)  

= i(-9-0)-j(9-0)+k(0-0)

= -9i - 9j + 0k

= < -9, -9, 0>

Then, a*(b*c)

\(\left|\begin{array}{ccc}i & j & k \\1 & 3 & 3 \\-9 & -9 & 0\end{array}\right|\)

i (0+27) - j (0+27) + k(-9 + 27)

= 27i -27j + 18k

= < 27, -27, 18>

(b). (a*b)

\(\left|\begin{array}{rrr}i & j & k \\1 & 3 & 3 \\-3 & 3 & 0\end{array}\right|\)

= i(0-9) - j(0+9) + k (3+9)

= -9i - 9j + 12k

= < -9, -9, 12>

(a*b)*c

\(\left|\begin{array}{ccc}4 & j & k \\-9 & -9 & 12 \\0 & 0 & -3\end{array}\right|\)

= i(27-0) - j(27-0) + k (0-0)

= 27i - 27j + 0k

= < 27, -27, 0>

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The complete question is-

The probable reason that 37 runners broke the four-minute mile barrier within one year after Roger Bannister originally did in 1954 was due to the psychological barrier being broken.

Before Bannister's accomplishment, many believed that running a mile under four minutes was impossible for a human being. However, once Bannister proved it could be done, it changed people's beliefs about what was possible and opened up new possibilities.

This change in belief and perception likely inspired other runners to push themselves harder and believe that they too could achieve this feat, leading to a rapid increase in the number of people breaking the four-minute mile barrier. Additionally, advances in training techniques and equipment may have also played a role in this increase.

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The angle measure indicated is 137° from the given figure.

What is area of circle ?

area of circle can be defined as the product of pi and square of radius of a circle.

We know that the length of tangents which are drawn from an external point are equal.

PA = PB

The tangent at any point on the circle is perpendicular to the radius of the circle through the point of contact.

OB ⊥ PB and OA ⊥ PA

∠PBO = 90°, ∠PAO = 90°

The sum of all the angles in a quadrilateral is 360°.

In the quadrilateral PAOB

∠APB + ∠PAO + ∠PBO + ∠AOB = 360°

43° + 90° + 90° + ∠AOB = 360°

∠AOB = 360° - 223°

∠AOB = 137°

Therefore, the angle measure indicated is 137°.

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Answer:

2(x-4)  = 3

Step-by-step explanation:

The point that should an open circle be drawn exists (0, 0).

The first equation in the system is f(x) = -x, for x < 0.  

This means when x=0, f(x) = f(0) = 0.

Since we have the inequality x<0, this means at the point (0, 0),

the point will be open and not filled in.

Therefore, the correct answer is option b) (0, 0).

The complete question is:

The function f(x) is to be graphed on a coordinate plane

At what point should an open circle be drawn?

a) (–1, 0)

b) (0, 0)

c) (0, 1)

d) (1, 0)

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Answer:

Step-by-step explanation:

The easiest way to think about increasing area is by taking a square, if you double the dimensions, let's say they were 1 by 1 and then was made into a 2x2 square, you can fit four of the original cube (1x1) into the 2x2. So when the dimensions are doubled the area is quadrupled.

Even easier shortcut:

Take the cube idea, when the dimensions are messed with for anything, (works for volume too) always think of the smaller piece as 1x1 or 1x1x1. Then if the dimensions are double make it 2x2 or 2x2x2. If the dimensions are tripled then do 3x3 or 3x3x3, etc... 1x1=1x1x1, they are both equal to 1. So think of that as the numerator. the 2x2 in this case is equal to 4 so the smaller piece is 1/4 of the bigger one. Shown with volume if you double the dimensions of a cube that was 1x1x1 into 2x2x2. 1x1x1 still equals 1 so that's still the numerator and 2x2x2 is equal to 8 so the 1x1x1 cube is 1/8 of the 2x2x2, in other words you can fit eight 1x1x1 cubes into the 2x2x2 cube.

Hope this helps with area and volume.

Answer:

x = 4

Step-by-step explanation:

AE = ED

2x+4 = x+8

Subtract x from each side

2x+4-x = x+8-x

x+4 = 8

Subtract 4 from each side

x+4-4 = 8-4

x = 4

Answer:

2.66 and 4.34

Step-by-step explanation:

To evaluate, substitute the values of y and solve.

So, when y =-2

0.67y + 4 = -1.34 + 4 = 2.66

And when y = 2

0.67y + 4 = 1.34 + 4 = 4.34

Hope this helps.

Answer:

y = 2

 5.34

y = -2

- 2.66

Step-by-step explanation:

0.67y + 4

y = 2

.67(2)+2

 1.34+4 = 5.34

y = -2

-.67(2)+2

 -1.34+4 = 2.66