How many solutions does this linear system have?

y=2x-5
-8x - 4y=-20

one solution: (-2.5, 0)
one solution: (25,0)
no solution
infinite number of solutions

Answer:

Step-by-step explanation:

A nonlinear function with at least one term raised to the power of two is known as a quadratic function

FOR :

A non-linear system of equations is a set of equations where one or more terms have a variable of power two or higher .

In Algebra, linear functions are polynomials with highest exponent equal to 1 or of the form y = c where c is constant. Non-linear functions are all other rest functions with exponent atleast 2.

Hence A nonlinear function with at least one term raised to the power of two is known as a quadratic function

Answer:

Step-by-step explanation:

* The Null hypothesis was rejected.

* The confidence interval for the true difference in proportions between the first and second survey are:

0.008238357 and 0.003176164 respectively in 95% situations.

Please kindly go through the attached files for a step by step explanation of how these answer are gotten.

Answer:

Just divide the sun-pluto distance by the milky way radius and you get the following ratio:

6.6 x 10^7 : 1

Okay, to find the answer,

All we need to do it multiply !

[tex]\frac{f}{-3.2}[/tex] = 0.01

f = (0.01) × (-3.2)

f = -.032

I hope I helped :) Just comment if you have any questions and remember to vote me "brainliest" if you like my answer !!!

You would use the POINT SLOPE FORMULA and the Slope Formula

which is as follows ...

slope formula : [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

point slope formula:  [tex]y - y_{1} = m(x - x_{1} )[/tex]

Answer:

The price before the increase was $7.75.

Step-by-step explanation:

This question can be solved using a rule of three.

The price of a movie ticket after a 16% increase is $8.99.

This means that the current price, of $8.99, is 100+16 = 116% = 1.16 of the original

x, the original price, is 100% = 1. So

8.99 - 1.16

x - 1

[tex]1.16x = 8.99[/tex]

[tex]x = \frac{8.99}{1.16}[/tex]

[tex]x = 7.75[/tex]

The price before the increase was $7.75

Answer:

$7.75

Step-by-step explanation:

When a number is increased by a certain percentage, it means that the product of the percentage and the number is added to the number. The result is the increase of the original number by the given percentage.

As such, if the original number is x and it is increased by 16%, to get $8.99, this may be expressed mathematically as

16% * x + x = 8.99

1.16x = 8.99

x = 8.99/1.16

= $7.75  

The price before the increase was $7.75

Answer:

9 square units

Step-by-step explanation:

Draw a rectangle around the triangle.  The rectangle is 4 units tall by 6 units wide.  The area of the triangle equals the area of the rectangle minus the triangles in the corners.

A = (4)(6) − ½(2)(4) − ½(1)(4) − ½(3)(6)

A = 24 − 4 − 2 − 9

A = 9

Answer:

Step-by-step explanation:

50

Answer:

d

Step-by-step explanation:

The function y = tan(x) + 2 is shown in the provided graph option fourth is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

The missing figure is in the picture please refer to the picture.

As we have a trigonometric function.

In the picture, the graph of a tanx is shown but 2 units up.

Thus, the function y = tan(x) + 2 is shown in the provided graph option fourth is correct.

Learn more about trigonometry here:

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Answer:

Pretty sure in 7 years with no money withdrawn it would be $8,418.65

Step-by-step explanation:

because you would find out what 5.9% of $5958 which would be $351.522 you get that by multiplying [5958*5.9%=351.522]

Then multiply 351.522 by 7 and you get 2460.654 [351.522*7=2460.654]

Finally you add 2460.654 and 5958 and you get 8418.654 [5958+2460.522=8418.654]

Then you round down .654 and you get [8418.65]

Answer:

See Below

Step-by-step explanation:

The equation estimating the number of cellphones in the country is:

[tex]f(x)=114.8 e^{0.125x}[/tex]

Where x = 0 corresponds to year 2000

thus,

x = 1 is year 2001

x = 2 is year 2002

x = 3 is year 2003

and so on...

We want approx. number of cellphones in the country in 2003. This corresponds to x = 3. So substituting in the equation we get:

[tex]f(x)=114.8 e^{0.125x}\\f(3)=114.8 e^{0.125(3)}\\f(3)= 167.03[/tex]

So, approximately there were 167.03 million cellphones in the country in 2003

Answer:

she has 5

Step-by-step explanation:

16 vegetables subtracted by 6 = 10 carrots

10 carrots subtracted by 5 that she gives away = 5 that she has left

Answer:

[tex] (759-658) -1.46 \sqrt{\frac{73^2}{30} +\frac{65^2}{28}}= 74.54[/tex]

[tex] (759-658) +1.46 \sqrt{\frac{73^2}{30} +\frac{65^2}{28}}= 127.46[/tex]

And the confidence interval for the difference of the two means is given by (74.54, 127.46)

Step-by-step explanation:

Information given:

[tex]\bar X_1 = 759[/tex] the sample mean for construction workers

[tex] s_1 =73[/tex] the sample standard deviation for construction workers

[tex]n_1 =30[/tex] sample size of construction workers

[tex]\bar X_2 = 658[/tex] the sample mean for manufacturing workers

[tex] s_2 =65[/tex] the sample standard deviation for manufacturing workers

[tex]n_2 =28[/tex] sample size of construction workers

Confidence interval

The confidence interval for the difference of means are given by:

[tex] (\bar X_1 -\bar X_2) \pm t_{\alpha/2} \sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}[/tex]

We need to find the degrees of freedom given by:

[tex] df = n_1 +n_2 -2= 30+28-2=56[/tex]

The confidence is 0.85 and the significance level would be [tex]1-0.85=0.15[/tex] and [tex]\alpha/2 = 0.075[/tex]. We need to find a critical value in the t distribution who accumulates 0.075 of the area on each tail and we got:

[tex] t_{\alpha/2}= \pm 1.46[/tex]

And then we can replace and we got:

[tex] (759-658) -1.46 \sqrt{\frac{73^2}{30} +\frac{65^2}{28}}= 74.54[/tex]

[tex] (759-658) +1.46 \sqrt{\frac{73^2}{30} +\frac{65^2}{28}}= 127.46[/tex]

And the confidence interval for the difference of the two means is given by (74.54, 127.46)

Part (a): The 80% confidence interval for the earnings difference is $77.51 to $124.49.

Part (b): The interval suggests 80% confidence in the true earnings difference falling within $77.51 to $124.49.

Part (c): Since zero isn't in the interval, there's a significant pay difference between construction and manufacturing workers.

Part (a): Construct an 80% confidence interval for the difference between the mean weekly earnings

Step 1: Identify the given data

- Construction workers:

 - Mean [tex](\(\bar{X_1}\)) = \$759[/tex]

 - Standard deviation [tex](\(s_1\)) = \$73[/tex]

 - Sample size [tex](\(n_1\))[/tex] = 30

- Manufacturing workers:

 - Mean [tex](\(\bar{X_2}\)) = \$658[/tex]

 - Standard deviation [tex](\(s_2\)) = \$65[/tex]

 - Sample size [tex](\(n_2\)) = 28[/tex]

Step 2: Determine the formula for the confidence interval

We use the formula for the confidence interval of the difference between two independent means:

[tex]\[ (\bar{X_1} - \bar{X_2}) \pm t_{\alpha/2} \cdot \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}} \][/tex]

Step 3: Calculate the standard error (SE) of the difference

[tex]\[ SE = \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}} \][/tex]

[tex]\[ SE = \sqrt{\frac{73^2}{30} + \frac{65^2}{28}} \][/tex]

[tex]\[ SE = \sqrt{\frac{5329}{30} + \frac{4225}{28}} \][/tex]

[tex]\[ SE = \sqrt{177.63 + 150.89} \][/tex]

[tex]\[ SE = \sqrt{328.52} \approx 18.12 \][/tex]

Step 4: Determine the degrees of freedom (df) using the Welch-Satterthwaite equation

[tex]\[ df = \frac{\left(\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}\right)^2}{\frac{\left(\frac{s_1^2}{n_1}\right)^2}{n_1-1} + \frac{\left(\frac{s_2^2}{n_2}\right)^2}{n_2-1}} \][/tex]

[tex]\[ df \approx \frac{328.52^2}{\frac{(177.63)^2}{29} + \frac{(150.89)^2}{27}} \][/tex]

[tex]\[ df \approx \frac{107,922.4}{1090.15 + 843.48} \][/tex]

[tex]\[ df \approx \frac{107,922.4}{1933.63} \approx 55.83 \approx 56 \][/tex]

Step 5: Find the t-value for an 80% confidence interval

For df ≈ 56 and [tex]\(\alpha/2 = 0.10\),[/tex] the t-value [tex](\(t_{0.10}\))[/tex] is approximately 1.296.

Step 6: Construct the confidence interval

[tex]\[ (\bar{X_1} - \bar{X_2}) \pm t_{\alpha/2} \cdot SE \][/tex]

[tex]\[ (759 - 658) \pm 1.296 \cdot 18.12 \][/tex]

[tex]\[ 101 \pm 23.49 \][/tex]

[tex]\[ (77.51, 124.49) \][/tex]

So, the 80% confidence interval for the difference between the mean weekly earnings is [tex]\((77.51, 124.49)\).[/tex]

Part (b): Explanation of the Confidence Interval

The 80% confidence interval [tex]\((77.51, 124.49)\)[/tex] means that we are 80% confident that the true difference between the mean weekly earnings of construction workers and manufacturing workers lies between [tex]\$77.51[/tex] and [tex]\$124.49[/tex]. In other words, if we were to take many samples and compute the confidence interval for each, about 80% of those intervals would contain the true difference in mean earnings.

Part (c): Is there a significant difference in pay?

To determine if there is a significant difference in pay, we look at whether the confidence interval includes zero. Since the 80% confidence interval for the difference in mean earnings (\(77.51, 124.49\)) does not include zero, we can conclude that there is a statistically significant difference in pay between construction workers and manufacturing workers at the 80% confidence level.

Complete Question:

Answer:

S = 85cm^2

Step-by-step explanation:

The surface area of a square pyramid is given by the following formula:

[tex]S=2hb+b^2[/tex]

where it has taken into account the sum of the area of a square and four triangles:

[tex]4(\frac{hb}{2})+b*b=2bh+b^2[/tex]

h: slant height = 6cm

b: base = 5cm

By replacing in the formula you obtain:

[tex]S=2(5cm)(6cm)+(5cm)^2=85cm^2[/tex]

hence, the surface area is 85cm^2

Answer:

2 g/cm^3

Step-by-step explanation:

D=m/V

=20g/10cm^3

=2g/cm^3

Density calculation based on mass and volume of an object is  2 g/cm³.

The density of an object is calculated by dividing its mass by its volume. In this case, with a mass of 20 g and volume of 10 cm³, the density can be calculated as:

Density = Mass / Volume = 20 g / 10 cm³ = 2 g/cm³

Answer:

1/4

Step-by-step explanation:

The probability that the spinner will land on yellow is 2/8 because 2 is how many of the sections are yellow and 8 is how many sections there are in total. However, you need to simplify this to 1/4 and that is your answer

Final answer:

The probability that a spinner with 8 equal sections will land on yellow is 2 out of 8, which simplifies to 1/4 or a 25% chance.

Explanation:

The question asks about the probability of a spinner with 8 equal-sized sections landing on yellow, where 2 of the sections are yellow. To calculate the probability:

a. The probability that the spinner will land on yellow is 2 out of 8, or 1/4.

b. In words, the probability can be described as having a one in four chance or a 25% chance of landing on yellow when the spinner is spun.

7.  tails, odd, 4

P(tails) = 1/2

P(odd) = 3/6 = 1/2

P(4) = 1/6

P(tails then odd then 4) = (1/2)×(1/2)×(1/6) = 1/24 ≈ 0.041666

Answer: 1/24, 4.2%

8.  tails, 6 or 1, 3

P(6 or 1) = 2/6 = 1/3

P(3) = 1/6

P( tails, 6 or 1, 3) = (1/2)(1/3)(1/6) = 1/36 ≈ 0.027777

Answer: 1/36, 2.8%

9.  heads, not 2, even

P(heads) = 1/2

P(not 2) = 5/6

P(even) = 1/2

P(heads, not 2, even) = (1/2)(5/6)(1/2) = 5/24 ≈ 0.208333

Answer: 5/24, 20.8%

Answer:

7. 1/24  = 4.2%

8. 1/36  = 2.8%

9. 1/6 = 16.67%

All percentages are rounded

Answer:

d

Step-by-step explanation:

Answer:

Work done by george = 35.28J

Step-by-step explanation:

We are given;

Mass; m = 2 kg

Height;h = 1.8 m

Now, we want to find how much work does George do on a 2-kg package at the height of 1.8m.

This is a potential energy problem.

The formula for work done is therefore;

W = mgh

Where;

m is mass

g is acceleration due to gravity which has a constant value of 9.8 m/s²

h is height

Thus, plugging in relevant values;

W = 2 x 9.8 x 1.8

W = 35.28 J

Final answer:

The work done by George on the 2-kg package when he lifts it to a height of 1.8 meters is calculated using the equation W = mgh, which results in 35.28 joules.

Explanation:

The question How much work does George do on a 2-kg package when he lifts it to a height of 1.8 m? requires the calculation of the work done against the force of gravity. To find the work done, the equation W = mgh is used, where W is the work done in joules, m is the mass in kilograms, g is the acceleration due to gravity (9.8 m/s2), and h is the height in meters.

To solve for the work done in this case: W = (2 kg)(9.8 m/s2)(1.8 m).

When you calculate this, it gives you the work done by George as W = 35.28 J (joules).

Answer:

42%

Step-by-step explanation:

Answer:

Since the events are independent, 30% of his customers have neither a foreign car nor a dog.

Step-by-step explanation:

Let the total number of his customers = 100.

Since the events are independent,

customers with foreign cars + customers that own dogs + customers that have neither a foreign car nor a dog = 100.

But,

Customers with foreign cars = 30% = 30

Customers that own dogs = 40% = 40

Customers with neither foreign car nor dog  = x%

So that,

     30 + 40 + x = 100

       70 + x = 100

      x = 100 - 70

      x = 30

Customers with neither foreign car nor dog  = 30.

Converting this value to percentage,

             =  [tex]\frac{30}{100}[/tex] × 100                      

             = 30%.

Therefore, 30% of his customers have neither a foreign car nor a dog.

Answer:

Explanation:

You can determine the probability of the collector has captured at least two small monsters of the same species is the complent of that all the monsters captured are of different species, i.e. none are of the same species.

The probability than none of the five captured small monsters are of the same species are:

1. Probability than the one monster is of the species One, and the others are not of the species One:

2. Probability that the first monster is of the species Two, and the others are not of the species Two:

3. Probability that the first monster is of the species Three and the others are not of the same species:

4. Inference

As you see you have to do this 32 times, and then add all the equal 32 probabilities, which is

That is the probability that none of the five small monsters are of the same species. Then, the probability that at leas two small monsters are of the same species is 1 - 0.72 = 0.28

Answer:

$1,136 per ounce.

Step-by-step explanation:

To find the new value of gold, you have to find what 60% of 710 is. You do this by converting 60% into a decimal and multiplying it by 710. This results in 0.6*710. 60% of 710 is 426. 426 + the original price of 710 is equal to 1,136.

You can also solve this problem in a condensed manner by multiplying 710 by 1.6: the 1.0 stands for the original price (710) so you don't have to add it later. The 0.6 stands for the 60% more. Multiplying 710 by 1.6 gets you 1,136, which is the new value of gold/ounce.

Answer:

[tex]6147\:Tickets[/tex]

Step-by-step explanation:

Area of the first level [tex]=75 X 75=5625 \:ft^2[/tex]

Area of the second level [tex]=130 X 60=7800 \:ft^2[/tex]

Total Area of Standing Room [tex]=5625+7800=13425 \:ft^2[/tex]

Since each person will occupy 2.25 square feet.

Number of Persons that will occupy the standing room

[tex]= 13425 \div 2.25\\=5966.7 \approx 5767\:persons[/tex]

Therefore the number of Tickets that should be sold

=Number of seats + Number for standing Room

=180+5967

[tex]\approx 6147\:tickets[/tex]

Therefore, the concert venue should sell 6,147 tickets.

By calculating the total square footage available in the venue, and then dividing by the space each person occupies, it's determined that the venue can sell roughly 6046 tickets per show.

The main task is to calculate the total available space, in square feet, in the concert venue. For the standing room areas, we first calculate the total square footage of each level by multiplying the dimensions of each space. For the first level, the area of a square is calculated by squaring the side length, so 75' x 75' = 5625 sq. ft. For the second level, the area of a rectangle is calculated by multiplying the length by the width, so 130' x 60' = 7800 sq. ft. The seated area already specifies the number of people it can accommodate, so no calculation for square footage is needed. Altogether, the venue has 5625 + 7800 + 180 = 13605 sq ft. available.

The next step is to divide the total square footage by the space taken up by each person to find out how many people can be accommodated. We divide 13605 by 2.25, obtaining 6046.67, but since we can't sell a fraction of a ticket, we should round down to the nearest whole number. Therefore, the venue can sell roughly 6046 tickets per show.

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The first of three consecutive terms after 55, which sum up to 738, is found to be 245 by setting up an equation and solving for n.

The student's question involves finding a variable, n, which represents the first of three consecutive terms, given that the sum of the three terms is 738 and that the sequence starts with a term after 55.

Let's denote the three consecutive terms as n, n+1, and n+2, where n is the first term that comes after 55. Since the sum of the terms is given as 738, we can formulate the following equation:

\(n + (n+1) + (n+2) = 738\)

Combining like terms, we get:

\(3n + 3 = 738\)

To find n, we'll subtract 3 from both sides of the equation and then divide by 3:

\(3n = 738 - 3\)

\(3n = 735\)

\(n = 245\)

Therefore, the first of the three consecutive terms is 245.

Answer:

you are not aloud to cheat on tests please don't do that sorry can't answer to a cheater

Step-by-step explanation:

The theoretical probability of rolling a 6 on a standard number cube is 1/6 or approximately 0.1667.

The theoretical probability of rolling a 6 on a standard number cube is 1/6 or approximately 0.1667.

To find the probability, we divide the number of successful outcomes (rolling a 6) by the total number of possible outcomes (numbers 1 to 6), which is 6.

So the probability is 1/6 or 0.1667.

Since a standard number cube has equal chances of landing on any number from 1 to 6, each outcome has the same probability of occurring, which is 1/6.

Thus, the theoretical probability of the event when rolling a standard number cube is found to be  1/6 or approximately 0.1667.

Final answer:

The theoretical probability of rolling a six on a standard six-sided die is 1 in 6, or P(6) = 1/6.

Explanation:

The student has asked about finding the theoretical probability of rolling a six, P(6), with a standard six-sided die. In a fair six-sided die, the outcomes are equally likely, meaning the probabilities for each number 1 through 6 are the same. Given that there are six possible outcomes, the probability of rolling any one specific number, for example 6, is 1 out of the 6 total possible outcomes. Therefore, P(6) = 1/6. This probability reflects that, theoretically, if we were to roll the die many times, we'd expect to roll a 6 in approximately one-sixth of all the rolls.

Answer:

D

Step-by-step explanation:

All of the other functions are functions that are just multiplicative. When we substitute any x for A, B,or C, y/x will be the same. In D y/x will vary.

Answer:

  inconsistent

Step-by-step explanation:

The sum of the first and last equations is ...

  (2x +3y -z) +(x +3y +z) = (-1) +(12)

  3x +6y = 11

Three times the second equation is ...

  3(x +2y) = 3(5)

  3x +6y = 15

There are no values of x, y, or z that can make both of these equations true. They are inconsistent.

Answer:

The median of this set is 45.

Step-by-step explanation: