(11 POINTS!)There is a line that includes the point (-3, -1) and has a slope of -3. What is its equation in
point-slope form?

The new variance is 0.0625 / n

We can use the following formula to calculate the variance of a data set

variance = (sum of (x - mean)^2) / (number of data points)

where x is a data point and mean is the mean of the data set.

If the mean cost of a box of Cheerios Oat Crunch is $4.00 and the variance is 0.35, we can find the standard deviation as follows

standard deviation = square root of variance = sqrt(0.35) = 0.59

Now, if the price increases by 25 cents a box, the new mean cost will be

new mean = $4.00 + $0.25 = $4.25

To find the new variance, we need to calculate the sum of (x - mean)^2 for the new data set and divide by the number of data points. Let's assume we are still considering the same number of boxes.

sum of (x - mean)^2 = [(4.25 - 4)^2 × n] = 0.0625 × n

where n is the number of data points.

Therefore, the new variance can be calculated as

new variance = (sum of (x - mean)^2) / (number of data points) = 0.0625 / n

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Explanation

In function notation, to shift a function left, add inside the function's argument: f(x + b) shifts f(x) b units to the left. Shifting to the right works the same way, f(x - b) shifts f(x) b units to the right.

To translate the function up and down, you simply add or subtract numbers from the whole function. If you add a positive number (or subtract a negative number), you translate the function up. If you subtract a positive number (or add a negative number), you translate the function down.

So for the given question

For the given question

So for the first one, when the parent function is shifted 4 units to the left, we will have

Then the second translation of Shifting 2 units up

we will have

Thus, we will have our answer as

Answer:

The largest angle is A + 5 = 117.5 + 5 = 122.5 degree.  

Step-by-step explanation:

The sum of the interior angles of a regular hexagon is 720 degree.

Let the one angle is A.

So,

A + A + 1 + A + 2 + A + 3 + A + 4 + A + 5 = 720

6 A + 15 = 720

6 A = 705

A = 117.5

The largest angle is A + 5 = 117.5 + 5 = 122.5 degree.  

Answer: what are the numbers? There’s none

The relation between the radius and the diameter of a circle is given by:

r = d/2

where r is the radius and d the diameter.

Hence, radius is half of a diameter

The THREE true statements regarding the graph of B(w) are;

A) Based on the zeros of the function, the number of boxes of cereal sold is 0 after 0 weeks.

C) Based on the end behavior of the function, the number of boxes of cereal sold will keep falling after reaching the maximum.

E) Based on the asymptote of the function, the number of boxes of cereal sold will never reach 0 after the cereal is introduced in the store.

We are given the graph represented by the quadratic function;

B(w) = 120w/(150 + w²) for w ≥ 0 that models;

the number of boxes, B, in thousands, of the cereal sold after w weeks

From the graph, we can see that at the origin which is the coordinate (0, 0) that it remains so and as such the number of boxes of cereal sold is 0 after 0 weeks. Thus, option A is correct

Secondly, from the given graph, we see that the graph starts rising from zero to a maximum after which it keeps falling. Thus, we can say that option C is correct

Lastly, we see that the graph asymptote approaches 500 thousand boxes but never gets to zero and as such we can say that option E is correct.

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Answer: x=20

Step-by-step explanation:

the following angles are supplementary so they will add up to equal 180

4x+21 +2x +39=180

step 1 combine like terms

6x+60=180

step 2 subtract 60 from each side

6x=120

step 3 divide each side by 6

x=20

Answer:

the answer is 2

Step-by-step explanation:

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression. To do this, we need to assign a variable to the unknown number and then use multiplication and subtraction to represent the given information.

Let x be the unknown number. The product of three and x is 3x. Twelve less than 3x is 3x - 12. Therefore, the algebraic expression for "twelve less than the product of three and a number" is 3x - 12. This expression represents a value that is 12 less than three times the number x.

For instance, if we know that a number is 7, we can use this expression to find the value of "twelve less than the product of three and 7."3x - 12 = 3(7) - 12= 21 - 12= 9Therefore, the value of "twelve less than the product of three and 7" is 9. We can also use this expression to write an equation and solve for x. For example, if we know that the value of "twelve less than the product of three and a number" is 33, we can write an equation:3x - 12 = 33Then, we can solve for x:3x = 33 + 123x = 45x = 15. Therefore, the unknown number is 15.

To summarize, the phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

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The equivalent fractions for 2/3 is (3×2)/(3×3) = 6/9 and for  5/12 is (4×5)/(4×12) = 20/48.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

The equivalent fraction for 2/3 is (3×2)/(3×3) = 6/9.

The equivalent fraction for 5/12 is (4×5)/(4×12) = 20/48.

We have to multiply the same number to both the numerator and denominator to get equivalent fractions.

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Answer:

Step-by-step explanation:

Total surface area is the sum of areas:

Correct choice is A

Answer:

Surface Area = (2)² + 4 × ½ × 2 × 3

Surface Area = 4 + 4 × ½ × 2 × 3

Surface Area = 4 + 2 × 2 × 3

Surface Area = 4 + 12

Surface Area = 16 in²

Answer:

cost of bread = $3.25

Cost per egg = $0.2

Step-by-step explanation:

Given the following :

Cost of a loaf of bread and 6 eggs = $4.45 - - (1)

Cost of a loaf of bread and a dozen eggs ( 12 eggs) = $5.65 - - - (2)

Let x = cost of bread and y = cost of egg

x + 6y = 4.45

x + 12y = 5.65

Subtract 1 from 2

6y - 12y = 4.45 - 5.65

-6y = - 1.2

y = $0.2

Hence,

From x + 6y = $4.45

Where y = $0.2

x + 6($0.2) = $4.45

x + $1.2 = $4.45

x = $4.45 - $1.2

x = $3. 25

Hence, cost of bread = $3.25

Cost per egg = $0.2

Using Euler's method with a step size of 0.2, the estimated value of y(1) for the initial-value problem y' = x^2 + xy, y(0) = 5 is approximately 7.0096.

Euler's method is a numerical approximation technique used to estimate the solution of a first-order ordinary differential equation (ODE) given an initial condition. In this case, we are solving the initial-value problem y' = x^2 + xy with the initial condition y(0) = 5.

To apply Euler's method, we start with the initial condition. Since we have a step size of 0.2, we will divide the interval [0, 1] into five equal subintervals (0.2, 0.4, 0.6, 0.8, 1.0). At each step, we calculate the slope of the ODE at the current point and use it to estimate the change in y over the step size.

Starting with y(0) = 5, we calculate the value of y(0.2) using Euler's method. Then, using this new value of y, we calculate y(0.4), and so on until we reach y(1.0).

Performing the calculations, the estimated value of y(1) using Euler's method with a step size of 0.2 is approximately 7.0096 (rounded to four decimal places).

It's important to note that Euler's method provides an approximate solution, and the accuracy of the estimate depends on the step size chosen. Smaller step sizes generally yield more accurate results.

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The amount of money I would have after 45 years with an exponential increase is  $64,060.18.

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value

$2000 x (1.26)^15 = $64,060.18

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Answer:

v = -12

Step-by-step explanation:

if you combine like terms it is

29 = = -3v - 7

so then you add 7 to both sides

-3v = 36

then you divide both by -3 and you get v = -12

Answer:

v = -12

Step-by-step explanation:

First, add like terms.

29 = -8v - 7 + 5v

29 = -3v - 7

Solve for v:

36 = -3v

-12 = v

So, v = -12

Answer:

Most simplified version is 1 3/7

Step-by-step explanation:

First step is turn everything into a fraction 4 into a fraction is 4/1

4/1 times 5/14 is 20/14 or 1 and 6/14 or 1 and 3/7

Here we have a problem with the multiplication of fractions.

We will find that:

\(4 \cdot\frac{5}{14} = \frac{10}{7}\)

First, two things we need to remember:

\(\frac{x}{y} \cdot\frac{a}{b} = \frac{x \cdot a}{y \cdot b}\)

Also, an integer number N can be written as:

\(N = \frac{N}{1}\)

Now we want to solve:

\(4 \cdot\frac{5}{14}\)

Using the above relations we get:

\(4 \cdot\frac{5}{14} = \frac{4}{1} \cdot\frac{5}{14} = \frac{4 \cdot5}{1 \cdot14} = \frac{20}{14}\)

Now we need to simplify this, to do it, we need to divide both numerator and denominator by the same number.

We can see that both are multiples of 2, so if we divide both by 2 we get:

20/2 = 10

14/2 = 7

Then we have:

\(\frac{20}{14} = \frac{10}{7}\)

Now 7 and 10 do not have common factors, so we can't simplify it anymore.

Concluding, we get:

\(4 \cdot\frac{5}{14} = \frac{10}{7}\)

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Answer:

123.9

Step-by-step explanation:

Answer:

HERE IS YOUR ANSWER

Step-by-step explanation:

volume = length × width × height

30 = 2 × 3 × h

30 = 6h

5=h

It is 5 cm high

Hope it helps you

Regards,

Rachana

Answer:

The second and fourth answer are correct

Step-by-step explanation:

The width of the sidewalk if A rectangular piece of land measures 20 feet by 15 feet, James created a cement sidewalk, x feet wide, is 12.25 so, option A is correct.

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely cover the surface of a closed figure.

Given:

A rectangular piece of land measures 20 feet by 15 feet, James created a cement sidewalk, x feet wide,

the garden has an area of 150 square feet,

Calculate the width of the sidewalk as shown below,

Area of rectangular piece = area of garden + area of sidewalk

20 × 15 = 150 + x × x

300 = 150 + x²

x² = 300 - 150

x = √150

x = 12.25

Thus, the width of the sidewalk is 12.25 feet.

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Answer:

2

Step-by-step explanation:

this might be the rong answer

Answer:

88°

Step-by-step explanation:

First combine the two shown angles to equal 180. Then solve for x.
22x+4+96-2x=180

20x+100=180

      -100=-100

20x=80

÷20=÷20

x=4

Then plug in 4 into the x in ∠GMK.

96-2(4)

96-8

88

Answer:

how much do the video games cost

Step-by-step explanation:

The described sampling method is an example of random sampling.

The sampling method described in the question is known as simple random sampling, which is a common method of selecting a representative sample from a population.

In this method, each member of the population is assigned a unique number, and a certain number of individuals are selected randomly from the population.

Simple random sampling is a type of probability sampling, which means that each member of the population has an equal chance of being selected for the sample.

This is important because it ensures that the sample is representative of the population as a whole, and reduces the risk of sampling bias.

The process of simple random sampling is straightforward and easy to implement, making it a popular choice for researchers. However, it can be time-consuming and may not be practical for very large populations. In such cases, other sampling methods such as stratified sampling or cluster sampling may be more appropriate.

Overall, simple random sampling is a reliable and effective method of selecting a representative sample from a population, and is widely used in research studies and surveys.

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We can write -

        Area = (3x - 1)(2x + 5).

        Area = 6x² + 13x - 5.

Given is that a rectangle has dimensions (3x - 1) and (2x + 5).

       Area = Length x Width.

We can write the expression for the area as the product as -

Area = (3x - 1)(2x + 5)

We can write the expression for the area in standard form as -

Area = (3x - 1)(2x + 5)

Area = 3x(2x + 5) - 1(2x + 5)

Area = 6x² + 15x - 2x - 5

Area = 6x² + 13x - 5

Therefore, we can write -

        Area = (3x - 1)(2x + 5).

        Area = 6x² + 13x - 5.

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Answer:

-275s+205+7t

Step-by-step explanation:

since it is addition, you can just remove the parentheses without doing anything else. Then just add the ones with the same coefficients.

Answer:

7/23

Step-by-step explanation:

There seven black socks and all of the socks together is 23.

The probability that at most three of the 15 observations exceed 7.779 from a chi-square distribution with four degrees of freedom is approximately 0.8946.

To find the probability that at most three of the 15 observations exceed 7.779 from a chi-square distribution with four degrees of freedom, we can use the cumulative distribution function (CDF) of the chi-square distribution.

The chi-square distribution with ν degrees of freedom (where ν is the number of degrees of freedom) is a continuous probability distribution that describes the sum of squares of ν independent standard normal random variables.

First, we need to calculate the cumulative probability of exceeding 7.779 for a single observation from the chi-square distribution with four degrees of freedom. Let's call this probability p₁.

Using a chi-square distribution table or a statistical software, we can find that p₁ is approximately 0.0972.

Next, we want to find the probability of at most three observations exceeding 7.779 out of the 15 independent observations. Let's call this probability p.

We can use the binomial distribution to calculate p. The binomial distribution describes the probability of a certain number of successes (exceeding 7.779) in a fixed number of independent Bernoulli trials (each observation being a trial) with a constant probability of success (p₁).

Using the binomial cumulative distribution function, we can calculate p as follows:

\(p = \sum(i=0 to 3) [ C(15, i) * p_1^i * (1 - p_1)^(15-i) ]\),

where C(15, i) represents the binomial coefficient, which is the number of ways to choose i observations out of 15.

Evaluating this expression, we find that p is approximately 0.8946.

Therefore, the probability that at most three of the 15 observations exceed 7.779 from a chi-square distribution with four degrees of freedom is approximately 0.8946.

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Answer:

\(A= 93°\)

Step-by-step explanation:

analysis:

according ABC is a triangle

AB-11cm AC-9cm ABC=38

sin 38° =0.62

AB:sinC-AC:sin 38

sinC-AB x sin 38°+AC=11 x 0.62 +9 -0.76

so 2C-49°

then angle A=180-38-49-93