What is the y-intercept of the linear equation x-3y=-6?
0 -6
0 -3
О 0
O 12

Answer:

$2.98

Step-by-step explanation:

x is how many units of potato salad were sold and y represents the total earnings

The chi-square statistic from a contingency table with 6 rows and five columns will have 20 degrees of freedom. So, the correct option is D.

The chi-square statistic from a contingency table with 6 rows and five columns will have:

a. 30 degrees of freedom
b. 24 degrees of freedom
c. 5 degrees of freedom
d. 20 degrees of freedom
e. 25 degrees of freedom

To find the degrees of freedom for a chi-square statistic from a contingency table, use the formula: df = (number of rows - 1) x (number of columns - 1).

Step 1: Subtract 1 from the number of rows: 6 - 1 = 5
Step 2: Subtract 1 from the number of columns: 5 - 1 = 4
Step 3: Multiply the results from steps 1 and 2: 5 x 4 = 20

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Answer:

Y=250-40x

Step-by-step explanation:

ez

Answer: 250-40x=y

Step-by-step explanation:

Answer:

$15.00

Step-by-step explanation:

Suppose 1 rose bush costs r dollars,

Suppose 1 geranium costs g dollars.

Here are 2 equations:

1)6r+14g=146

3r+7g=73

2)r+7g=57

r=57-7g

Put 2) in 1)

3(57-7g)+7g=73

171-21g+7g=73

98=14g

g=7

r=8

7+8=$15.00

Hope I helped!

Trevor needs to make 10 equal payments of £1,204 each.

To calculate the amount of each of the 10 payments Trevor needs to make, we first need to determine the total cost of the boat including VAT.

The cost of the boat before VAT is £14,200. VAT is applied at a rate of 20%, so the VAT amount is:

VAT = 20% of £14,200 = £2,840

The total cost of the boat including VAT is the sum of the cost before VAT and the VAT amount:

Total cost = £14,200 + £2,840 = £17,040

Trevor has already paid a deposit of £5,000, so he needs to pay the remaining amount in 10 equal payments.

Remaining amount = Total cost - Deposit = £17,040 - £5,000 = £12,040

To find the amount of each payment, we divide the remaining amount by the number of payments:

Amount of each payment = Remaining amount / Number of payments = £12,040 / 10 = £1,204

Therefore, Trevor needs to make 10 equal payments of £1,204 each.

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Answer:

Circunferencie can be writen also as a fuction of the diameter of the circle

C = pi*D

Where

D = circunferene diameter

Step-by-step explanation:

C = 2.pi.R = 2.R.pi

In a circle 2.R = D

So,

C = pi.D

Answer:

-2x < 23-7

-2x < 16

-2x÷-2 < 16 ÷ -2

x > -8

The four corners of a square are 90 degrees.

They are evenly split by the diagonal lines, so each corner is now two 45 degree angles.

The lines form triangles, which have 3 angles that need to equal 180 degrees.

Two of the angles are 45, so 45 + 45 = 90 degrees.

X = 180 -90 = 90 degrees.

Answer:

90 degrees

By 90 * 4 is 360

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y = 9,958(0.972)x

Function which best models the given data is -150x + 9219.

A solution is an assignment of values to the unknown variables that makes the equality in the equation true.

According to the given question

y represents the number of bees.

and, x represents the number of days.

Since, we have to find the function to represent the given data.

As, we know the given data are the solution of any function, so they must satisfy the function. For this we will take any value of x and y and check whether it satisfy the given function or not.

From the given data,

Let check for the point (0, 1000).

Substitute (0, 1000) in the given function one by one.

For, y = 9,958(0.972)x

At, x = 0

We get y = 0

⇒ ( 0, 1000) is not the solution of the function 9958(0.72)x

For, y = 0.972(9,958)x

At, x = 0

we get y = 0

⇒ (0, 1000) is not the solution for the function 0.972(9958)x

For, y = 9219x - 150

At x = 0

we get y = -150

⇒ (0, 10000) is not the solution of function, 9219x -150

For, y = -150x + 9219

At x = 0

y = 9219 which is nearly equals to 10000 because y is the estimated number of bees.

⇒ (0, 10000) is the solution of the given function y = -150x + 9219 .

Hence, the function which best models the given data is -150x + 9219.

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The order of the numbers from least to greatest will be;

⇒ - 2/3, -0.2 , 0.8 , √2 , √11

What is Number system?

A system of writing to express the number is called number system.

Given that;

All the numbers are,

a. √2

b. - 2/3

c. √11

d. 0.8

e. - 0.2

Now,

Solve all the number as;

a. √2 = 1.414

b. - 2/3 = - 0.67

c. √11 = 3.32

d. 0.8 = 0.8

e. - 0.2 = - 0.2

So, Order of the numbers from least to greatest will be;

⇒ - 0.67 , -0.2 , 0.8, 1.414, 3.32

This is same as;

⇒ - 2/3, -0.2 , 0.8 , √2 , √11

Therefore, The order of the numbers from least to greatest will be;

⇒ - 2/3, -0.2 , 0.8 , √2 , √11

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Answer:

15 people

Step-by-step explanation:

you start off by doing 420-150 then you divide by 18 to get your answer

To find the percentage of time that cars will be unable to enter the queue, we need to use the M/M/1 queueing model with finite queue length. The M/M/1 model assumes that the arrival and service times are both exponentially distributed, which is the case in this problem. The finite queue length means that there is a limit to the number of cars that can be in the waiting line.

The parameters for this model are:

λ = 20 cars per hour = 0.333 cars per minute (arrival rate)
μ = 1 car per 2 minutes = 0.5 cars per minute (service rate)
K = 3 (maximum queue length)

The probability that the queue is full and a car cannot enter is given by the formula:

P(K) = (1 - ρ) * (ρ^(K+1)) / (1 - ρ^(K+1))

where ρ = λ / μ is the traffic intensity.

Plugging in the values for λ, μ, and K, we get:

ρ = 0.333 / 0.5 = 0.666
P(3) = (1 - 0.666) * (0.666^(3+1)) / (1 - 0.666^(3+1))
P(3) = 0.334 * 0.197 / (1 - 0.197)
P(3) = 0.0658

Therefore, the percentage of time that cars will be unable to enter the queue is 6.58%.

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Answer:

-40

Step-by-step explanation:

2x + 5y = 10

-4(2x + 5y) = -4 * 10

-4(2x + 5y) = -40

Answer:

C. (4, 1)

Step-by-step explanation:

Plug in 4 for x to make sure y=1.

y=2(4)-7

y=8-7

y=1.

Y does equal 1, so the ordered pair (4,1) makes this equation true!

Hope this helps!

Answer: C

Step-by-step explanation:

Using substitution you can determine that 2*4-7 is in fact equal to 1

Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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The body mass index of a person 65 inches tall with a weight of 175 pounds is 29.12

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

The body mass index (BMI) is given by:

BMI = [mass in pounds / (height in inches)²] * 703

Given mass = 175 pounds, height = 65 in, hence:

BMI = [175/65²] * 703 = 29.12

BMI = 29.12

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Answer:

50 laps

Step-by-step explanation:

20+1.25x+15+2.5x+40+1.5x+25+1.75x=450

7x+100=450

7x+200-200=450-100

7x=350

7x/7=350/7

x=50

The irrational number on a number line is 13.1. All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to describe an irrational number as the ratio of two integers.

All real numbers that are not rational numbers are referred to be irrational numbers in mathematics. In other words, it is impossible to describe an irrational number as the ratio of two integers.There is no length, no matter how short, that could be used to express the lengths of both of the two supplied segments as integer multiples of itself.

Square Root of 172 to the nearest tenth, means to calculate the square root of 172 where the answer should only have one number after the decimal point.

We calculate the square root of 172 to be:

√172 = 13.11487704860400

Reduce the tail of the answer above to two numbers after the decimal point: 13.11

Round 13.11 so you only have one digit after the decimal point to get the answer: 13.1

To check that the answer is correct, use your calculator to confirm that 13.1² is about 172.

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Answer:

14x + 36 = 15

Step-by-step explanation:

To remove the fractions, multiply the entire equation by the LCM of 9 and 6.

LCM of 9 and 6 = 18

Multiply the entire equation by 18,

    \(18*\dfrac{7}{9}x+*18*2=18*\dfrac{5}{6}\)

           2*7x + 36 = 3 *5

              14x + 36 = 15

Let's consider what the question asks for:

--> equation without fractions:

To get rid of fractions, we must multiply a common multiple of 9 and 6 to get rid of the bottom denominator:

 --> common multiple of 9 and 6: 54

Let's multiple:

  \(\dfrac{7}{9}x+2=\dfrac{5}{6} \\\\54*(\dfrac{7}{9}x+2} )=54*\dfrac{5}{6} \\\\6*7x+108=9*5\\\\42x+108=45\)

Answer: 42x + 108 = 45

Answer:

M/140 = 50/60

Step-by-step explanation:

Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140

the ratio is 50 per 60

Answer:

1.5

Step-by-step explanation:

Answer:

Improper Fraction: \(\frac{10}{6}\)

Proper Fraction: \(1\frac{4}{6}\)

Simplified Proper Fraction: \(1\frac{2}{3}\)

Step-by-step explanation:

\(\frac{5}{6} + \frac{2}{3}\) Is our equation... first we must find a common denominator! Let's take a look...

6: 1, 6, 12

3: 1, 3, 6

We see that both numbers get to 6 so we use that as our common denominator. Now we plug that in...

\(\frac{5*1}{6*1} +\frac{2*2}{3*2}\)

We get...

\(\frac{5}{6} +\frac{4}{6} = \frac{10}{6}\)

Now if you want to leave it as an improper fraction your answer will be \(\frac{10}{6}\). However, if you want you answer to be a proper fraction your answer is \(1\frac{4}{6}\) which can be simplified further to,\(1\frac{2}{3}\).

Whew! What a toughie! We showed that math problem!

The area of the lawn in the scale drawing is approximately 996 square feet.

1. Measure the length and width of the lawn in inches on the scale drawing.

Length = 16.5 inches

Width = 15.5 inches

2. Convert the measurements to feet by dividing the inches by 12.

Length = 16.5/12 = 1.375 feet

Width = 15.5/12 = 1.291 feet

3. Calculate the area of the lawn by multiplying the length and width.

Area = 1.375 x 1.291 = 1.75 square feet

4. Multiply the area by the scale factor (in this case, 560) to get the actual area.

Area = 1.75 x 560 = 996 square feet

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The expected activity time for the given statement is = 5.33

The average amount of time required for an activity when it is repeatedly performed is known as the expected time. The weighted average of the three estimated times, i.e., the optimistic time, the most probable time, and the pessimistic time, is used in project management analysis to determine the expected time of activity.

A network model called the Program Evaluation and Review Technique (PERT) allows for randomness in the timing of activity completion. PERT was created in the late 1950s again for a massively labor-intensive Polaris project for the US Navy. It might shorten a lot of time and cost needed to finish a project.

optimistic = 2

most likely = 5

pessimistic = 10.

We will use the following formula to calculate the anticipated time for each activity in order to solve this problem:

Expected Time = (Optimistic Time + (4 x Most likely) + Pessimistic Time) / 6

Putting the values into formula:

= (2 + (4 x 5) + 10)/ 6

= (2 + 20 + 10) / 6

= 5.33

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Answer:

Okay, so, your picture kinda blurry but I'll still help you:

to find y intercepts you just see where the line crosses the y axis and write the coordinate down for each line.

To find the gradient, just pick two points on a line and do

1)the difference between both y axis points

2)the difference between the x axis points

and then divide 1) by 2) to get the gradient.

Hope this helps!!

Answer:

t ≈ 11.7

Step-by-step explanation:

                  r

A = P (1 + -------)^(n)(t)

                  n

A = 5000

P = 2500

r = 0.06

n = 2

t = ?

                              0.06

5000 = 2500 (1 + ----------)^(2)(t)

                                  2

                              0.06

5000 = 2500 (1 + ----------)^(2)(t)

÷2500 ÷2500           2

             0.06

2 = (1 + ----------)^(2)(t)

                2

            log 2

------------------------ =  2t

             0.06

log (1 + ----------)

                2

            log 2

(1/2) ------------------ = 2t (1/2)

                    0.06

      log (1 + ----------)

                      2

11.72488612 = t

11.7 ≈ t

I hope this helps!

They’re the same.

Give them common denominators by looking at their least common multiples. 6 and 21 are the denominators and they have to be the same to compare. Their least common multiple is 42.

So 1 4/6 will turn into 1 28/42. I know this because their least common multiple is 42. So I multiplied the 6 by 7 to get 42 as the denominator and you must also multiply the numerator by 6.

1 14/21 will need to be multiplied by 2 to get a denominator of 42. It will turn into 1 28/42. Both simplify down to 1 2/3.

Answer:

The are the same.

Step-by-step explanation:

Because both begin with a 1, ignore that for now.

You have 4/6 and 14/21. Do your best to reduce each. Think about a number that can go into each.

Start with 4/6. They are both even numbers, so 2. 4/2 =  2 and 6/2 = 3

so 4/6 can be reduced to 2/3.

14/21 is trickier, one is odd and the other is even, so no even number will work. 3 can't go in to 14, or 5, but 7 can, and cool! 7 can go in to 21 as well!

14/7 = 2   21/7 = 3    so 14/21 can be reduced to 2/3!

You can also use a common denominator, but you need a calculator for this problem. To solve that way you would take 4/6 and multiply by 21/21 and you would multiply 14/21 by 6/6, this way you'll end up with 126 on the bottom, and you'll see you get 84 on the top.

\(\frac{4}{6} * \frac{21}{21} = \frac{84}{124}\)

\(\frac{14}{21} * \frac{6}{6} = \frac{84}{124}\)

This is much harder without a calculator. Always try and reduce first, because if you end up having to find a common denominator, it will be smaller and more manageable.

Answer: 20%

Step-by-step explanation:

The probability that an athlete tests positive and is a user of a drug is approximately 2.4%.

To calculate this probability, we can use conditional probability. Let's denote the event "athlete uses a drug" as A, and the event "athlete tests positive" as B. We are given the following information:

P(A) = 0.03 (probability that an athlete is a user of a drug)

P(B|A) = 0.8 (probability that the test comes back positive given that the athlete uses a drug)

We want to find P(A and B), which represents the probability that an athlete tests positive and is a user of a drug. According to the definition of conditional probability: vP(A and B) = P(A) * P(B|A)

Substituting the given values:

P(A and B) = 0.03 * 0.8

Calculating the result:

P(A and B) = 0.024

Therefore, the probability that an athlete tests positive and is a user of a drug is approximately 2.4%.

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The approximate length of the midsegment parallel to xy is 6.63

The midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle and has the same length as each of the two sides.

To find the midpoint of a line segment, we average the x-coordinates and the y-coordinates of its endpoints.

Since the question stated that the midsegment is parallel to xy, we need to find midpoint of xw and yw.

First, let's find the midpoint of side xw:

Midpoint of xw : ((-14+10)/2, (20+4)/2) = (-2, 12)

Midpoint of yw : ((-14-2)/2, (20-4)/2) = (-8, 8 )

The length of a line segment between two points (x1, y1) and (x2, y2) in a two-dimensional coordinate system can be calculated using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Length line of midpoint xw and midpoint yw :

√((-2-(-8))^2 + (12-(8))^2) = √(6^2 + 4^2) = √(36 + 8) = √44

So, the length of the midsegment is parallel to XY, which is approximately equal to √44 = 6.63

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Answer:

I think the answer you're looking for is 86400

Step-by-step explanation: