Can someone help me with these? ASAP please

The y-intercept of a line is the point where the line crosses the y-axis is y=-5.  

In this case the y-intercept is y= -5.

To find the y-intercept, we can use the equation y=mx+b, where m is the slope and b is the y-intercept. To find the slope, we can use the formula m=\((y2-y1)/(x2-x1)\), which in this case would be m= -2

Now, we can plug this value into the equation y= mx+b , and solve for b. We get y=-2x-b, so we can add 2x to both sides and get b=y+2x. Substituting in the point (2,7), we get b=7+2(2)=-5. Thus, the y-intercept is -5.

Alternatively, we can graph the line using the two points and see that it crosses the y-axis at -5.

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For every hour he works over 40 hours, he is paid an additional $7.50.

Ray’s error when he miscalculated his overtime pay is +$45.

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

His normal pay is $15/h

150%/100 = 1.5

Multiply his normal pay by the rate in decimal form;

$15 X 1.5 = $22.5

His OT pay is $22.5/h.

Additional money = (OT pay) - (Normal pay)

= $22.5 - $15

= $7.5

Or $7.5 = $7.50

Thus, For every hour he works over 40 hours, he is paid an additional $7.50.

Ray actual pay for the week was $100 then from the question he incorrectly calculated it as {$100 + $45} = $145 which is $45 above his actual pay.

Error = measured value - actual value.

Error = $145 -$100 =$45.

Since the value $145 is greater than his actual pay $100, we have to include a positive sign to the error $45.

Therefore, Error = +$45.

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For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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Answer: \(e=-50|t-40|+2000\)

The cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.

Step-by-step explanation:

Given: A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet.

Then, total time taken to reach the peak = (Distance) ÷ (speed)

= (2,000 feet) ÷ ( 50 feet/minute)

= 40 minutes

Then, as the car moves down to the hill’s base, its elevation drops at the same rate.

The equation that models the cable car’s elevation, e, after t minutes is

e= (constant rate)|t- time to reach peak |+ Peak's height

\(e=-50|t-40|+2000\)

When the cable car’s elevation will be 750 feet after minutes, then we have

\(750=-50|t-40|+2000\\\\\Rightarrow\ -50|t-40|=750-2000\\\\\Rightarrow\ -50|t-40|=1250\\\\\Rightarrow|t-40|=-\dfrac{1250}{50}\\\\\Rightarrow|t-40|=-25\\\\\Rightarrow t-40=-25\text{ or }t-40=25\\\\\Rightarrow t=-25+40\text{ or }t=25+40\\\\\Rightarrow t=15\text{ or }t=65\)

Time cannot be negative, so the cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.

The functions f(x) and g(x) are different functions

The function f(x) is a cubic function, while the function g(x) is a logarithmic function.

The common feature in both functions is their range

According to the statement

we have given that the some functions and we have to justify these functions.

The functions are given as:

f(x) = x³ + x² - 2x + 3 and g(x) = log(x) + 2

This means that the function f(x) is a cubic function, while the function g(x) is a logarithmic function.

The common key features of the functions

To do this, we plot the graphs of both functions

From the attached graph, we have the following features:

Function f(x)

Domain: -∞ < x < ∞

Range: -∞ < y < ∞

y - intercept = 3

x - intercepts = -2.37

Function g(x)

Domain: x > 0

Range: -∞ < y < ∞

y - intercept = None

x - intercepts = 0.01

By comparing the key features above, we can conclude that the common features in both functions is their range.

The functions f(x) and g(x) are different functions

The function f(x) is a cubic function, while the function g(x) is a logarithmic function.

The common feature in both functions is their range

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Answer:

b=200 and m=200

Step-by-step explanation:

There are many answers to this problem. You can replace b and n for the number 200. You need to find what two numbers, added up, will give you 400. If b=200 and m=200, when added up, it will give you 400.

Step-by-step explanation:

1) geometric

2) arithmetic

3) neither

4) geometric

5) neither

6) arithmetic

you can this by usin their formulas or

you see if it has common difference which is for arithmetic sequence or you find the common ratio which is geometric sequence.

Answer:

Step-by-step explanation:

Question 1: the defined rules dictates that series 1 is multiples of 3 and series 2 is multiples of 9, making the ratio always 3.

Question 2: You must pay attention to the values of the coins based on how many going from 0 to 3 so the nickels are 0, 5, 10, 15 and the values of dimes is 0, 10, 20, 10. Looking only at the values one could easily jump to answer A because the values initially double for each, but breaks down at 3 coins.

As currently written, solving for \(x\), we have

\(\sqrt{15} - x + \sqrt3 - x = 6\)

\(2x = \sqrt{15} + \sqrt3 - 6\)

\(x = \dfrac{\sqrt{15} +\sqrt3 - 6}2\)

I suspect you meant to write

\(\sqrt{15 - x} + \sqrt{3 - x} = 6\)

Move one of the roots to the other side, then take squares on both sides.

\(\sqrt{15 - x} = 6 - \sqrt{3 - x}\)

\(\left(\sqrt{15 - x}\right)^2 = \left(6 - \sqrt{3 - x}\right)^2\)

\(15 - x = 36 - 12 \sqrt{3 - x} + (3 - x)\)

\(12 \sqrt{3 - x} = 24\)

Take squares again

\(\left(12\sqrt{3-x}\right)^2 = 24^2\)

\(144 (3 - x) = 576\)

\(432 - 144x = 576\)

\(144x = -144\)

\(\boxed{x = -1}\)

The answer is Quantitative because quantitative data mainly deals with the statistic and figures.

As given, Comparing data collected on individuals’ sales and individuals’ attendance records would be an example of what type of data analysis?

Quantitative data analysis involves the use of numerical data to discover patterns and relationships. In the example of comparing individuals' sales and attendance records, the data collected would be numerical and would be analyzed to determine the relationship between sales and attendance. This type of analysis often involves statistical techniques such as regression analysis, correlation analysis, and hypothesis testing. The goal is to gain insights and make informed decisions based on the numerical data, rather than just describing or summarizing it.

Answer is Quantitative.

Reason- Quantitative data mainly deals with the statistic and figures.

Thus, the answer is Quantitative because quantitative data mainly deals with the statistic and figures.

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The answer is Quantitative because quantitative data mainly deals with statistic and figures.

As given, Comparing data collected on individuals’ sales and individuals’ attendance records would be an example of what type of data analysis?

Quantitative data analysis involves the use of numerical data to discover patterns and relationships. In the example of comparing individuals' sales and attendance records, the data collected would be numerical and would be analyzed to determine the relationship between sales and attendance. This type of analysis often involves statistical techniques such as regression analysis, correlation analysis, and hypothesis testing. The goal is to gain insights and make informed decisions based on the numerical data, rather than just describing or summarizing it.

Answer is Quantitative.

Reason- Quantitative data mainly deals with statistic and figures.

Thus, the answer is Quantitative because quantitative data mainly deals with statistic and figures.

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Answer:

£1638.40

Step-by-step explanation:

Step one:

Given data

A car costs £5000 when new

Each year the value decreases by 20%.

Step two:

let us compute the worth in the next 5 years

year 1

worth= 5000- 0.2*5000

worth= 5000-1000

worth=  £4000

year 2

worth= 4000- 0.2*4000

worth= 4000-800

worth=  £3200

year 3

worth= 3200- 0.2*3200

worth= 3200-640

worth=  £2560

year 4

worth= 2560- 0.2*2560

worth= 2560-512

worth=  £2048

year 5

worth= 2048- 0.2*2048

worth= 2048-409.6

worth=  £1638.40

The person is wrong because after 5 years the car is worth  £1638.40

Answer:

correct ans is d

Step-by-step explanation:

click the photo to see process

Overtime is paid by the time and a half, so it is multiplied by 1.5

If the hourly wage is $13.75 and we multiply this by 1.5, it is $20.63

Answer:

her hourly pay for overtime work is $20.63

Answer:

\(\sqrt{3}\cdot 2\sqrt{2}= 2 \sqrt{6}\)

you can't simplify it any more

In testing the validity of the report stating that 26% of home buyers in the state of Florida are foreigners, a Type I error would occur if it was concluded that the proportion of foreign buyers **is greater or less than** the reported value of 26%.

A Type I error refers to rejecting the null hypothesis when it is actually true. In this case, the null hypothesis would be that the true proportion of foreign buyers in Florida is indeed 26%. If we were to incorrectly conclude that the proportion is different from 26%, either greater or less, it would be a Type I error.

It's important to note that a Type I error is typically controlled by the significance level, denoted as α, which is predetermined before conducting the hypothesis test. The significance level represents the maximum probability of committing a Type I error. Commonly used values for α include 0.05 or 0.01.

To avoid a Type I error and ensure accurate conclusions, a hypothesis test can be conducted. The null hypothesis, denoted as H0, would be that the true proportion of foreign buyers in Florida is 26%. The alternative hypothesis, denoted as Ha, would be that the true proportion differs from 26%, either greater or less.

By collecting a representative sample of home buyers in Florida and analyzing their nationalities, statistical tests such as a proportion test (e.g., z-test or chi-square test) can be performed. The test results will provide evidence to either reject or fail to reject the null hypothesis.

If there is sufficient evidence to reject the null hypothesis and conclude that the proportion of foreign buyers is different from 26%, caution must be exercised to minimize the probability of committing a Type I error. This can be achieved by choosing an appropriate significance level and interpreting the test results within that context.

In summary, a Type I error would occur if it was incorrectly concluded that the proportion of foreign buyers in Florida is either greater or less than the reported value of 26%. To mitigate the risk of Type I error, a hypothesis test should be conducted using an appropriate significance level.

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the option that is closest to the volume of the sugar container would depend on the provided options. Please provide the options to determine the closest one.

To find the volume of the cylindrical container, we can use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height.

Given that the diameter is 4 inches, the radius is half of that, which is 2 inches. The height is given as 12 inches.

Substituting the values into the formula, we get:

V = π(2²)(12) = 48π cubic inches.

To compare the volume to the given options, we need to approximate the value of 48π. Using a calculator, we find that 48π is approximately 150.796 square inches.

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Integral value is finite since the given integral converges when the function is \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\).

Given that,

Analyze the integral to see if it is convergent or divergent. convergent integrals should be evaluated.

\(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\)

We have to simplify the equation.

Finding the area of the curve's undersurface is the process of integration. To do this, draw as many little rectangles as necessary, then add up their areas.

We know that,

I= \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\)

Let p = x²then xdx= dp/2

Then

I= \(\int\limits^\infty_\infty {3/2e^{-p} } \, dp\)

I= 3/2(\(e^{-p}\))infinity to minus infinity

I= 3/2 (\(e^{-x^{2} }\))infinity to minus infinity

I=0

Therefore, integral value is finite since the given integral converges when the function is \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\).

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The distribution of X, the number of heads obtained by tossing three unbalanced coins, has probabilities of 8/27 for X=0, 4/27 for X=1, 2/27 for X=2, and 1/27 for X=3.

The possible outcomes of a single coin toss are either a head or a tail, with probabilities of 1/3 and 2/3 respectively. Since we are tossing three coins, there are \(2^3 = 8\) possible outcomes, which we can list in a sample space:

{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

where H represents a head and T represents a tail.

To find the probability of each outcome, we can simply multiply the probabilities of each individual coin toss. For example, the probability of getting HHT is \($\frac{1}{3}\cdot\frac{1}{3}\cdot\frac{2}{3}=\frac{2}{27}$\), since the first two coins must land on a head and the third coin must land on a tail.

We can then calculate the probability of each value of X, the number of heads, by adding up the probabilities of the outcomes that correspond to that value of X.

X = 0: P(X=0) = P(TTT) = \($\left(\frac{2}{3}\right)^3 = \frac{8}{27}$\)

X = 1: P(X=1) = P(HTT, THT, TTH) = \($3\cdot\frac{1}{3}\cdot\frac{2}{3}\cdot\frac{2}{3}=\frac{4}{27}$\)

X = 2: P(X=2) = P(HHT, HTH, THH) = \($3\cdot\frac{1}{3}\cdot\frac{1}{3}\cdot\frac{2}{3}=\frac{2}{27}$\)

X = 3: P(X=3) = P(HHH) = \($\left(\frac{1}{3}\right)^3=\frac{1}{27}$\)

Therefore, the distribution of X is:

X 0 1 2 3

P(X) 8/27 4/27 2/27 1/27

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Answer:

the third one is the answer

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

While we can estimate the chance that the sum of the draws will be positive using the binomial distribution, the specific probability would depend on the distribution of the positive and negative numbers on the tickets.

Based on the information given, we can estimate the chance that the sum of the draws will be positive.

Since the draws are made with replacement, each draw is independent of the others. This means that the probability of drawing a positive number on any given draw is 4/10 (since there are four positive tickets out of ten).

The sum of the draws will be positive if the number of positive draws is greater than the number of negative draws. To estimate the chance of this happening, we can use the binomial distribution.

Let X be the number of positive draws in 1000 draws. X follows a binomial distribution with parameters n = 1000 (number of draws) and p = 4/10 (probability of success on a single draw).

We want to find P(X > 500), which represents the probability of having more than 500 positive draws out of 1000 draws.

Using statistical software or tables, we can calculate this probability. However, without specific information about the distribution of the positive and negative numbers on the tickets (e.g., if they are uniformly distributed), we cannot provide an exact estimate.

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Short answer: to solve this problem, follow directions.

Let c and p represent numbers of cakes and pies produced daily. Then the constraints are ...

  2c +3p ≤ 108 . . . . . . . . available hours of preparation time

  1c +0.5p ≤ 20 . . . . . . . available hours of decoration time

  p ≥ 0, c ≥ 0 . . . . . . . . . negative numbers of cakes or pies cannot be produced

__

It works well to let a graphing calculator do this.

The feasible region is the doubly-shaded area with vertices ...

  (0, 0), (0, 36), (3, 34), (20, 0)

__

Profit is $25 per cake and $12 per pie, so is ...

  p = 25c +12p

__

The attached table shows the profit for the various mixes of cakes and pies in the feasible region. The most profit is had by production of cakes only.

The maximum profit is $500 per day for production of 20 cakes.

_____

Additional comment

We have used x for cakes and y for pies in the attachment, because those are variables that the Desmos calculator prefers.

As is sometimes the case, the production point giving maximum profit leaves one of the resources (preparation time) only partially utilized.

The statistics you could find given the information above (see attachment) include the following:

A boxplot is also referred to as box and whisker plot and it can be defined as a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread.

In Mathematics, the five-number summary of any box and whisker plot include the following:

For the range, we have:

Range for women = 150 - 0 = $150

Range for men = 35 - 0 = $35

For the standard deviation, we have:

Standard deviation for women = range/4

Standard deviation for women = 150/4 = 37.5

Standard deviation for men = range/4

Standard deviation for men = 35/4 = 8.75.

For the interquartile range, we have:

Interquartile range = third quartile - first quartile.

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Answer:

\(a_{n}\) = 2n - 3

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

given a₁ = - 1 and a₅ = 7 , then

a₁ + 4d = 7 , that is

- 1 + 4d = 7 ( add 1 to both sides )

4d = 8 ( divide both sides by 4 )

d = 2

then

\(a_{n}\) = - 1 + 2(n - 1) = - 1 + 2n - 2 = 2n - 3

\(a_{n}\) = 2n - 3

Answer:

P = 2 !

Step-by-step explanation:

15p = 31 = 61

        -31   -31

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

Thus, P = 2. Hope this helps! <3

Answer:

Step-by-step explanation:

fifty hunderths=0.50

seventy five hunderths=0.75

twenty hunderths=0.2

eighty hunderths=0.8

Answer:

\(15.4\pi\)

Step-by-step explanation:

\(C = 2\pi *r\\C = 2\pi *7.7\\C = 15.4\pi\)

Answer:

57 degrees

Step-by-step explanation:

A line is always 180 degrees so you just subtract 123 from 180 which is 57

Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!