write 3 types of negative x- and y-coordinates that lie on the line y=3x+4​

Answer:

Step-by-step explanation:

16

Answer: 1485 dollars

Step-by-step explanation:

She earns 44 dollars per week and one additional dollar for each book that she sells. She sells 33 books.

First, you do 33x1=33 dollars for selling 33 books

Then you do 44+1=45 for the 1 additional dollar she gets for selling books.

Lastly, you do 45x33. If you break it down (45x30=1350) and (45x3=135). 1350+135= 1485 dollars

                                          Hope this helps!

The number of different collections of 60 coins that can be chosen is:

(60+4-1) choose (4-1) = 63 choose 3 = 22,275

If there are at least 60 of each kind of coin, we can assume that we have four different types of coins, such as quarters, dimes, nickels, and pennies. Let's assume we have x quarters, y dimes, z nickels, and w pennies.

We know that we need to choose a total of 60 coins. Therefore, we have the following equation:

x + y + z + w = 60

We want to find the number of different collections of coins that can be chosen. This is equivalent to finding the number of non-negative integer solutions to the equation above.

Using the stars and bars formula, the number of non-negative integer solutions to this equation is:

(n+k-1) choose (k-1)

where n is the total number of objects (60 in this case) and k is the number of groups we want to divide them into (4 in this case).

So, the number of different collections of 60 coins that can be chosen is:

(60+4-1) choose (4-1) = 63 choose 3 = 22,275

To learn more about equivalent visit:

https://brainly.com/question/14672772

#SPJ11

The probability that a randomly chosen positive integer less than mn is not divisible by either m or n is (mn - m - n + 1) / (mn - 1).

We can start by finding the total number of positive integers less than mn. Since we are choosing a number less than mn, we have mn-1 possible choices.

Next, we can count the number of positive integers less than mn that are divisible by m or n. To do this, we can use the principle of inclusion-exclusion.

The number of positive integers less than mn that are divisible by m is (n-1) m, because there are n-1 multiples of m less than or equal to mn. Similarly, the number of positive integers less than mn that are divisible by n is (m-1) n.

However, if we simply add these two numbers together, we would be double-counting the numbers that are divisible by both m and n. Therefore, we need to subtract the number of multiples of mn. There is only one such multiple, which is mn itself.

So, the number of positive integers less than mn that are divisible by either m or n is:

(n-1) m + (m-1) n - 1

To find the probability that a randomly chosen positive integer less than mn is not divisible by either m or n, we can subtract this number from the total number of choices and divide by the total number of choices:

P(not divisible by m or n) = (mn-1 - [(n-1) m + (m-1) n - 1]) / (mn-1)

Simplifying this expression, we get:

P(not divisible by m or n) = (mn - m - n + 1) / (mn - 1)

This is the probability that we are looking for, in terms of m and n.

To learn more about integers click on,

https://brainly.com/question/29037353

#SPJ4

The probability that a premium paid this year by a randomly selected worker is between $3331 and $4453 is approximately 0.7054 - 0.0934 = 0.6120.

a) To find the probability that a premium paid this year by a randomly selected worker is less than $3331, we need to standardize the value of $3331 using the mean and standard deviation of the population, and then find the corresponding probability using a standard normal distribution table or calculator.

Z-score = (x - μ) / σ = (3331 - 4129) / 600 = -1.32

Using a standard normal distribution table or calculator, we find that the probability of a standard normal random variable being less than -1.32 is approximately 0.0934.

Therefore, the probability that a premium paid this year by a randomly selected worker is less than $3331 is approximately 0.0934.

b) To find the probability that a premium paid this year by a randomly selected worker is greater than $4453, we need to standardize the value of $4453 using the mean and standard deviation of the population, and then find the corresponding probability using a standard normal distribution table or calculator.

Z-score = (x - μ) / σ = (4453 - 4129) / 600 = 0.54

Using a standard normal distribution table or calculator, we find that the probability of a standard normal random variable being greater than 0.54 is approximately 0.2946.

Therefore, the probability that a premium paid this year by a randomly selected worker is greater than $4453 is approximately 0.2946.

c) To find the probability that a premium paid this year by a randomly selected worker is between $3331 and $4453, we need to standardize these values using the mean and standard deviation of the population, and then find the corresponding probabilities and subtract them.

Z-score for $3331 = (3331 - 4129) / 600 = -1.32

Z-score for $4453 = (4453 - 4129) / 600 = 0.54

Using a standard normal distribution table or calculator, we find that the probability of a standard normal random variable being less than -1.32 is approximately 0.0934, and the probability of a standard normal random variable being less than 0.54 is approximately 0.7054.

Therefore, the probability that a premium paid this year by a randomly selected worker is between $3331 and $4453 is approximately 0.7054 - 0.0934 = 0.6120.

To learn more about corresponding visit:

https://brainly.com/question/1597341

#SPJ11

Required value of θ is 67.38.

What are angles of right angle triangle?

In a right-angled triangle, one of the interior angles is a right angle, which measures exactly 90 degrees. The other two angles can vary in measure depending on the specific triangle. The side opposite the right angle is called the hypotenuse and the other two sides are called the legs .We can calculate the length of the hypotenuse .

According to Pythagoras theorem,

the addition of the squares of the lengths of the base and height equals the square of the length of the hypotenuse.The adjacent side divided by the hypotenuse in a right-angle triangle is equal to the cosine of one of the non-right angles .

So, in this triangle, cos(θ) = adjacent side/hypotenuse = 5/13.

To find θ, we need to take the inverse cosine (also called the arccosine) of both sides of the equation:

[tex] \theta = cos^{(-1)}( \frac{5}{13} )[/tex]

Using a calculator, we find that:

θ ≈ 67.38 degrees (rounded to hundredth decimal places)

Learn more about right angle triangle here,

https://brainly.com/question/31352174

#SPJ1

Correct question is " Find θ in degrees 12 13 5 round to the nearest hundredth"

The points (x, y, z), (1, 1, 0), and (1, 2, 1) lie on a plane through the origin, then the determinant is zero

Since the plane passes through the root, any two vectors on the plane must be directly autonomous. In this manner, we will utilize the vectors (1, 1, 0) and (1, 2, 1) to discover the condition of the plane.

A vector opposite to the plane can be found by taking the cross item of the two vectors:

(1, 1, 0) × (1, 2, 1) = (-1, 1, 1)

The condition of the plane can be composed as:

x + y + z = d

where d may be steady to be decided. We are able to utilize one of the focuses on the plane, such as (1, 1, 0), to discover d:

1 + 1 + = d

d = 0

In this manner, the condition of the plane is:

x + y + z = 0

 To check that the point (x, y, z) = (1, 2, 1) lies on this plane, we will substitute these values into the condition over   

  1 + 2 + 1 = 0

 which is genuine, so the point lies on the plane.

To discover the determinant that is zero, we will utilize the three focuses (x, y, z), (1, 1, 0), and (1, 2, 1) to make a 3x3 lattice:

| x y z |

| 1 1 0 |

| 1 2 1 |

Growing the determinant along the primary push, we get:

x | 1  0 |

| 2 1 | = x(1 - 0) - y(1 - 0) + z(2 - 1) = x - y + z

Subsequently, the determinant is:

x - y + z

Since these three focuses lie on a plane through the root, they fulfill the condition:

x + y + z = 0

 Substituting z = -x + y into the expression for the determinant over, we get:

x - y + (-x + y) = 0

 Streamlining, we get:  

 0=0  

 Subsequently, the determinant is zero, as anticipated. 

To know more about determinants refer to this :

https://brainly.com/question/16981628

#SPJ4

The statistical evidence available is insufficient to conclude that the education improved the nutrition behavior of the students.

The value of the t-test to be used is the option d

d. 1.29

A t-test is a test that is used to compare the means of two groups to find out if the effectiveness of a treatment or process on a population or if there is a difference between the two groups. A t-test assumes that the data is normally distributed.

The null hypothesis is H₀; μ = 2.9 (The population of patients have the same mean score as before the education)

Alternative hypothesis, Hₐ; μ > 2.9 (There is an increase in the mean score of the population of patients)

The sample mean, [tex]\overline{x}[/tex] = 3.3

Sample standard deviation, s = 1.2

Sample size, n = 15

The t-statistic is; t = ([tex]\overline{x}[/tex] - μ)/(s/√(n))

Therefore; t = (3.3 - 2.9)/(1.2/√(15)) ≈ 1.29

The df value is; df = 15 - 1 = 14

The critical value for a one tailed t-test at 5% significance level and df value of 14 is 1.761, therefore;

The t-value (1.29) is less than the critical t-value at 5% significant level, and we fail to reject the null hypothesis, and therefore;

There is insufficient statistical evidence to conclude that the education improved the nutrition behavior of the patients at the regional hospital

The t-test to be used has a value; d. 1.29

Learn more on the t-distribution here: https://brainly.com/question/29134910

#SPJ1

According to the question, the information provided makes it impossible to assess the value of NC?

Tetrahedrons, also called triangle pyramids, are polyhedra with four trapezoidal faces, six edges that are level, and four vertex corners. The tetrahedron, which additionally happens to be the most straightforward of them all, is the only regular symmetric polygon with lower than five faces. The cylindrical structure at the base of the triangle is made of tetrahedra. If an object has four triangular-shaped faces, it is a tetrahedron. Regular Tetrahedrons are the ones that have equilateral triangle bases and isosceles triangle faces. A polyhedron has four sides.

Two comparable triangles, and ABC and AMN, are present in the given issue, because where "" indicates similarity.

The details are as follows:

AN = 8 AM = 6 MB = 4

We receive a request to determine NC's value.

The ratios of related sides are identical in similar triangles, which have proportionate sides. Using the equivalent ends of ABC and AMN, we can establish a ratio:

NC/AN = AB/AM

replacing the specified values:

AB/6 = NC/8

We can traverse-multiply and then use that result to solve for NC:

8 x AB 6 x NC 8 x AB 6 x NC

(Simplifying by dividing the two sides by 2) NC = (8AB)/6 NC = (4AB)/3

Since we do not have a specific value for AB or any additional information about the triangles, we cannot determine the exact value of NC. We can only express it in terms of AB, which is not provided in the given problem. Therefore, the value of NC cannot be determined with the information given.

To know more about tetrahedron visit:

https://brainly.com/question/17132878

#SPJ1

The minimum raw score needed for a student to receive a grade of A is 8.74

The first step is to find the cutoff score that corresponds to the top 25% of the distribution.

To do this, we need to find the z-score that corresponds to the 75th percentile (since we want the top 25%, which is the same as the 75th percentile and above).

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to the 75th percentile is approximately 0.67.

Next, we can use the formula: z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

Plugging in the values we know: 0.67 = (x - 7) / 2.6

Solving for x, we get x = 8.74

Therefore, the minimum raw score needed for a student to receive a grade of A is 8.74.

So, the answer is (b) 8.74.

To determine the minimum raw score needed for a student to receive an A, we need to find the cutoff point for the top 25 percent of the distribution.

Given the mean=7 and standard deviation (s)=2.6, we can use the z-score formula to find the corresponding raw score.

A z-score of 0.674 corresponds to the top 25 percent of a distribution.

Using the formula, X = mean + (z-score × standard deviation), we can calculate the minimum raw score:

X = 7 + (0.674 × 2.6) ≈ 8.74

So, the minimum raw score needed for a student to receive a grade of A is 8.74 (option b).

To know more about standard deviation: brainly.com/question/29758680

#SPJ11

Answer:

Factor by grouping, (5n+4)(n+3), or alternatively, (n+3)(5n+4)

Answer:

(n +3)(5n + 4)

Step-by-step explanation:

5n^2 + 19n + 12

= 5n^2 + 15n + 4n + 12

= 5n(n + 3) + 4(n + 3)

= (n +3)(5n + 4)

Hence Factorized.

As the sample size (n) increases, the margin of error (MOE) in a confidence interval decreases, keeping everything else the same. Therefore, the correct answer is MOE decreases as n increases.

As the sample size increases, the margin of error (MOE) in a confidence interval decreases. This means that answer choice B, "MOE decreases as n increases," is the correct answer. When the sample size is larger, the sample is more representative of the population, and therefore there is less uncertainty in the estimate of the population parameter. This leads to a smaller margin of error.

Know more about margin of error here:

https://brainly.com/question/29101642

#SPJ11

Answer:

x=9/2

Step-by-step explanation:

The answer is C. The LCM is the same as the least common multiple for two odd integers.

The least common multiple (LCM) of two even integers a and b can be found by dividing both a and b by 2 until they become odd integers. Then, the LCM can be found using the same method as for two odd integers.

For example, let's say a=12 and b=16. Dividing both by 2, we get a=6 and b=8. Dividing again, we get a=3 and b=4, which are both odd.

The LCM of 3 and 4 is 12, so the LCM of 12 and 16 is also 12.

Therefore, the answer is C. The LCM is the same as the least common multiple for two odd integers.

Learn more about odd integers.

https://brainly.com/question/30719820

#SPJ4

The given conditions justify testing a claim about a population mean p. Since the original population is normally distributed, and the sample size n = 22 is reasonably large, the Central Limit Theorem allows us to perform hypothesis testing for the population mean.

For the first question, the conditions justify testing a claim about a population mean as the sample size is greater than 30 (n=22), the sample mean (-5.77) is known, and the original population is normally distributed.

Yes, the given conditions justify testing a claim about a population mean. Although the original population is not normally distributed, the sample size n = 43 is large enough for the Central Limit Theorem to apply, which allows us to perform hypothesis testing for the population mean.

For the second question, the conditions do not justify testing a claim about a population mean as the sample size is greater than 30 (n=43), but the original population is not normally distributed. In this case, a non-parametric test or data transformation may be necessary.

Learn more about hypothesis at https://brainly.com/question/10035253

#SPJ11

The answer is A. 36 different outcomes are possible when a pair of standard dice are rolled.

When a pair of standard dice are rolled, each die has 6 sides numbered 1 to 6. The total number of possible outcomes is equal to the total number of ways the two dice can land. To find the total number of different outcomes, we need to consider all the possible combinations of the numbers on the two dice.

Each die has 6 possible outcomes, so there are 6 x 6 = 36 possible outcomes for a pair of dice. These outcomes include all possible combinations of the numbers 1 to 6 that can be rolled on each die. For example, the outcomes include (1,1), (1,2), (1,3), ..., (6,5), and (6,6).

Therefore, the answer is A. 36 different outcomes are possible when a pair of standard dice are rolled.

Learn more about dice ,

https://brainly.com/question/23637540

#SPJ4

For the random sample of 45 and mean 51mph the correct claim is given by,

Option 1. At 0.10 level of significance there is enough evidence to support claim that mean speed is less than 50 mph.

Random sample size = 45

Mean = 51mph

Population standard deviation = 5 mph

Test whether the mean speed of westbound traffic during morning peak hours is less than 50 mph,

The null and alternative hypotheses are,

Null hypothesis is μ >= 50

Alternative hypothesis is μ < 50

where μ is the population mean speed.

Since n > 30

For the population standard deviation, use a z-test.

The test statistic is ,

z = (X - μ) / (σ / √(n))

where X is the sample mean,

σ is the population standard deviation,

and n is the sample size.

Substituting the given values, we get,

z = (51 - 50) / (5 / √(45))

  =1.34

Using a attached standard normal distribution calculator value  ,

The p-value for this test is 0.00901.

At a significance level of 0.10, the p-value is less than the significance level.

Reject the null hypothesis.

Conclude that there is enough evidence.

To support the claim that the mean speed of westbound traffic during morning peak hours is less than 50 mph.

Therefore, for given random sample and mean correct option is 1. At 0.10 level of significance there is enough evidence to support claim that mean speed is less than 50 mph.

Learn more about random sample here

brainly.com/question/14301031

#SPJ4

A graph of Krypton's proportional relationship is shown below.

In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

In order to have a proportional relationship, the variables representing the mass (grams) and the volume (liters) must have the same constant of proportionality:

Constant of proportionality, k = y/x

Constant of proportionality, k = 30/8

Constant of proportionality, k = 3.75.

Therefore, the required linear equation is given by;

y = kx

y = 3.75x

Read more on proportional relationship here: brainly.com/question/28350476

#SPJ1

1. The area of the rectangle is increasing at a rate of 1926 [tex]cm^2/s[/tex] after 24 seconds.

2The equation relating the area, base, and height of a rectangle is:

A = b * h

where A is the area of the rectangle, b is the base (width), and h is the height (length).

To find the rate at which the area of the rectangle is increasing, we first need to find the equation for the area of the rectangle as a function of time.

Let x(t) be the length of one of the sides of the rectangle at time t.

Since all sides of the rectangle are increasing at the same rate of 5 cm/s, we have:

x(t) = 6 + 5t (for the width)

and

y(t) = 8 + 5t (for the length)

The area of the rectangle is given by:

A(t) = x(t) * y(t)

Substituting the expressions for x(t) and y(t), we get:

A(t) = (6 + 5t) * (8 + 5t) = 40t^2 + 86t + 48

To find the rate at which the area is increasing at t = 24 s, we take the derivative of A(t) with respect to t:

dA/dt = 80t + 86

At t = 24 s, we have:

dA/dt = 80(24) + 86 = 1926 cm^2/s

Therefore, the area of the rectangle is increasing at a rate of 1926 cm^2/s after 24 seconds.

For similar question on rectangle.

https://brainly.com/question/2607596

#SPJ11

Answer:

  (b)  (g∘f)(x) = (x +1)²

Step-by-step explanation:

Given that f(x) = x +1 and g(x) = x², you want to know the meaning of (g∘f)(x).

The ring operator (∘) is used to form a composition of functions. The composition is evaluated right to left:

  (g∘f)(x) = g(f(x))

That is, f(x) is evaluated first, and the result is used as the argument for function g.

  g(f(x)) = g(x +1) = (x +1)²

Then ...

  (g∘f)(x) = (x +1)²

The derivative the function f(x) = √(x²+ 13x)/√x³ is given by = (x-1)/(2x²√(x+13)).

We know that the divide rule of derivative of a function with respect to 'x' is given by,

d/dx (u/v) = (v*(du/dx) - u*(dv/dx))/v²

where u and v are the functions of independent variable x.

The given function is,

f(x) = √(x²+ 13x)/√x³

Simplifying the function we get,

f(x) = √((x² + 13x)/x³) = √((x(x + 13)/x³) = √(x+13)/√x² = √(x+13)/x

differentiating the above function with respect to 'x' we get,

f'(x) = (x*(d/dx(√(x+13))) - √(x+13)*(d/dx(x)))/x²

      = ((x/(2√(x+13)) - 1/(2√(x+13)))/x²

      = (x-1)/(2x²√(x+13))

Hence the derivative is (x-1)/(2x²√(x+13)).

To know more about derivatives here

https://brainly.com/question/14415013

#SPJ4

The critical value of t is  1.303

What is confidence interval?

In statistics, the probability that a population parameter will fall between a set of values for a predetermined percentage of the time is referred to as the confidence interval. Analysts frequently employ confidence ranges that include 95% or 99% of anticipated observations.

Given:

n = 38 , C = 80% = 0.80 ,

α = 1-0.80 = 0.20

Degree of freedom :

Df = n - 1

    = 38-1

    = 37

From the t-table,

t value corresponding to  α =  0.20 and  Df =  37 is

t* = 1.303

The critical value of t is  1.303

To Learn more about the confidence interval form the link:

https://brainly.com/question/15712887

#SPJ1

The probability that one toss will come up heads and the other will come up tails when you flip a coin two times is 50%.

Imagine you've got a coin, and you flip it two times. Once you flip a coin, it can either arrive on heads (the side with a confront) or tails (the side with the hawk, in the event that it's a US quarter).

On the off chance that you flip the coin two times, there are four distinctive conceivable ways the coin can arrive:

heads-heads (HH),

heads-tails (HT),

tails-heads (TH),

and tails-tails (TT).

Presently, out of these four conceivable results, the HT and TH results have one hurl(toss) that comes up heads and the other hurl that comes up tails. So, we're curious about the likelihood of getting either HT or TH.

Since there are four conceivable results and two of them are HT and TH, the likelihood of getting one hurl that comes up heads and the other that comes up tails is 2 out of 4, or 50%.

So, in the event that you flip a coin two times, there's a 50-50 chance that you'll get one hurl that comes up heads and the other that comes up tails

Hence, the likelihood that one hurl will come up heads and the other will come up tails after you flip a coin two times is 2 out of 4, or 50%. 

To know more about probability refer to this :

https://brainly.com/question/24756209

#SPJ4

The total cost of the purchases is $144. 8. So, the cost of the case of air fresheners is $33.97.

Let's start by calculating the total cost of the buckets, brushes, and towels.

The cost of 5 buckets is

5 buckets x $2.89/bucket = $14.45

The cost of 10 brushes is

10 brushes x $7.91/brush = $79.10

The cost of 48 towels is

48 towels x $0.36/towel = $17.28

So the total cost of the buckets, brushes, and towels is

$14.45 + $79.10 + $17.28 = $110.83

We know that the total cost of all the purchases, including the case of air fresheners, is $144.8. Therefore, we can calculate the cost of the case of air fresheners by subtracting the total cost of the buckets, brushes, and towels from the total cost of all the purchases

$144.8 - $110.83 = $33.97

So $33.97 is the cost of the case of air fresheners.

To know more about cost:

https://brainly.com/question/30187345

#SPJ4

The correlation coefficient between weight and height for these 9 individuals is approximately -0.73. So  the answer is (a) -0.73.

The correlation coefficient between weight and height can be estimated by using a statistical software or a calculator. Using a calculator, the correlation coefficient is calculated as follows:

- Enter the weight and height data into two separate lists (e.g. L1 and L2).
- Press the STAT button, then select CALC, and then select option 4: LinReg(ax+b).
- Enter L1 and L2 as the Xlist and Ylist, respectively.
- Make sure that the option "Calculate" is set to "r", which stands for the correlation coefficient.
- Press ENTER to calculate the correlation coefficient.

Using this method, the correlation coefficient between weight and height for these 9 individuals is approximately -0.73. Therefore, the answer is (a) -0.73.

To learn more about correlation coefficient here:

brainly.com/question/15577278#

#SPJ11

We reject the null hypothesis that there is no significant difference between the means of the three groups.

We then calculate the mean square (MS) between groups and the mean square within groups. The MS between groups is the SS between divided by the df between, and the MS within groups is the SS within divided by the df within.

Finally, we calculate the F-statistic, which is the ratio of the MS between groups to the MS within groups. If the F-statistic is greater than the critical value at the chosen significance level (α), we reject the null hypothesis that there is no difference between the means of the groups.

In this problem, we have 12 people divided equally into three groups, with four people in each group. The mean score for each group is:

Group A: 1.0

Group B: 3.0

Group C: 7.0

The overall mean score is 3.67. The SS between groups is 70.67, and the SS within groups is 20.67. The df between groups is 2, and the df within groups is 9.

The MS between groups is 35.33, and the MS within groups is 2.30. The F-statistic is 15.39, which is greater than the critical value of 3.89 at the α level of .05.

To know more about F-statistic here

https://brainly.com/question/18403256

#SPJ4

Using regression analysis requires that our data meets the following criteria:
1) there is a pattern to our data,
2) the errors (residuals) of our regression analysis don't have a pattern,
3) most of the errors are small. Therefore, all of these criteria must be met in order to use regression analysis effectively.

Using regression analysis requires that our data meets the following criteria:
1) there is a pattern to our data,
2) the errors (residuals) of our regression analysis don't have a pattern,
3) most of the errors are small. Therefore, all of these criteria must be met in order to use regression analysis effectively.
Using regression analysis requires that our data meets the following criteria: there is a pattern to the data, the errors (residuals) of the regression analysis don't have a pattern, most of the errors are small, and all of these conditions must be satisfied for an effective analysis.

learn more about regression analysis

https://brainly.com/question/14983410

#SPJ11

Answer:44

Step-by-step explanation: