(1 point) A company sells sunscreen n 300 milliliter (ml) tubes. In fact, the amount of lotion in a tube varies according to a normal distribution with mean μ = 298 ml and standard deviation alpha = 5 m mL. Suppose a store which sells this sunscreen advertises a sale for 6 tubes for the price of 5.

Consider the average amount of lotion from an SRS of 6 tubes of sunscreen and find:

the standard deviation of the average x bar,
the probability that the average amount of sunscreen from 6 tubes will be less than 338 mL.

The blood pressure of Ruby is modelled by following sinusoidal equation: \(y = 103 +18\cdot \sin (146\pi\cdot t)\).

A sinusoidal function is represented by following model:

\(y = 0.5\cdot (y_{min}+y_{max}) + 0.5\cdot (y_{max}-y_{min})\cdot \sin (2\pi\cdot f\cdot t)\) (1)

Where:

If we know that \(y_{min} = 85\), \(y_{max} = 121\) and \(f = 73\), then the sinusoidal formula for blood pressure is:

\(y = 103 +18\cdot \sin (146\pi\cdot t)\) (2)

The blood pressure of Ruby is modelled by following sinusoidal equation: \(y = 103 +18\cdot \sin (146\pi\cdot t)\). \(\blacksquare\)

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A stock split is a corporate action in which a company increases the number of shares it has outstanding by giving each shareholder more shares. This action does not affect the proportionate equity that each shareholder holds in the corporation. Instead, it adjusts the number of shares and the share's par value. In the case of Giacomo Company, a manufacturer of outdoor tables and chairs for European-style cafes, specific information is provided.

On January 1st, Year 1, Giacomo issues 500,000 shares of $2 par value common stock for $10 per share. This marks the first time Giacomo has issued common stock during Year 1, and no other stock issuances occur throughout the year.

Assuming Giacomo executes a 9:4 stock split, each old share would be transformed into 2.25 new shares (9/4). Consequently, the number of shares outstanding would increase by 125 percent. To calculate the new par value of Giacomo's stock, we can utilize the formula:

New par value per share = Old par value per share / (Split ratio)

In this case, the old par value is $2 per share, and the split ratio is 9/4. Substituting these values into the formula, we find:

New par value per share = $2 per share / (9/4)

New par value per share ≈ $0.888888888888889 or $0.89 per share

Therefore, the new par value of Giacomo's stock after a 9:4 stock split would be $0.89.

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A baseball is hit so that its height, s, in feet after t seconds is S= - 16t² +60t+2. Based on the inequality, the ball is at least 46 feet above the ground in [0.20, 1.55] seconds.

To find the period of time the ball is at least 46 feet above the ground, we first need to solve the given inequality, which will be:

Simplifying, we find the following value:

Dividing both sides by -4, we find:

So, to solve this inequality, we can use the quadratic formula:

Plugging these values into the formula, we get:

Simplifying this expression, we get:

Therefore, it follows that the ball is at least 46 feet above the ground during the time period:

So, rounded to two decimal places, this is approximately:

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The equation of the line that passes through point (-1, 3) and parallel to line y = 3x + 2 is

As a parallel line part of the qualities include that the slopes of the lines  are equal  

The equation of line is y = 3x + 2

The slope intercept form of the form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

Line has slope, m = 3, a new parallel line of slope 3 passing through point  (-1, 3)

(y - y₁) = m  (x - x₁)

y - 3 = 3 (x - -1)

y = 3x + 1 + 3

y = 3x +  4

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Answer:

x = 4

YZ = 19

Step-by-step explanation:

What we know:

- Full thing is 29

- XY = 10

- YZ = 3x+7

What to do:

XY + YZ = XZ

10 + 3x + 7 = 29

17 + 3x = 29

3x = 12

x = 4

YZ = 3x + 7

3(4) + 7

12 + 7

YZ = 19

(also that looks like Canvas, good luck!)

Answer:

The answer is \(3^3\times 2^2\).

Step-by-step explanation:

According to the rules of exponents

a^n = a x a x a x .... n times

So,

\(3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}\)

Answer:

a = (b - bc)/d

Answer:

ad=b-bc

a=b-bc/d or  a=b-bc

                        --------

                            d

*everything is divided by d on the other side...so b-bc is all divided by d

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

Answer:

The answer is B! I'm 100% sure!

Step-by-step explanation:

8% of $72.60 means 0.08*72.6 which equals 5.808. 20% of $72.60 means 0.2*72.6 which equals 14.52. 14.52+5.808=20.328. 20.328+72.6=92.928 which rounds up to $92.93. I hope this helps! Have a great rest of your day!

Answer:

She paid a total of $92.93 at the salon

Step-by-step explanation:

Well it costed $72.60 but then she did the sales tax which is 8% of 72.60 and then she did a tip which was 20% of 72.60. 8% of $72.60 is 5.81 and 20% of 72.60 is 14.52. Then you would add them to get $20.33 and then you would add the $20.33 to the $72.60 to get $92.93. SO she paid a total of $92.93 at the salon.

$5.81 + $14.52 = $20.33

$20.33 + $72.60 = $92.93

Answer:

a or d

Step-by-step explanation:

Answer:13 quarters and 17 pennies:

Answer:

0.19 50% 15/20 9/10 95%

Step-by-step explanation:

I know

Answer:

I don't know this answer

Answer:

Add 8 to both sides

Step-by-step explanation:

Normally after adding 8 to both sides you'd solve for x by then dividing by -5, but they just want u to explain what to do lol.

We can construct a regression tree using the given data, we can use the rpart() function in R.

the specific instructions provided by the software or tool is used, as the steps may vary slightly depending on the platform. To construct a regression tree using the given data, follow these steps:

1. Open the data file that contains the predictor variables "XT" and "AG" and the numerical target variable "Y".

2. Check if the data is properly formatted and contains the necessary information for the regression tree.

3. If the data is in the correct format, proceed to build the regression tree.

4. Click on the provided link to access the software or tool that will help you create the regression tree.

5. Once you have access to the software, import the data file into the tool.

6. Specify the predictor variables ("XT" and "AG") and the target variable ("Y") for the regression tree.

7. Configure any additional settings or parameters as needed for your analysis.

8. Run the regression tree algorithm on the data.

9. Review the resulting regression tree, which will display the relationships between the predictor variables and the target variable.

10. Analyze the tree structure and interpret the findings to understand the impact of the predictor variables on the target variable.

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The statement that non-normality of the residuals from a regression can best be detected by looking at the residual plots against the fitted y values is a false statement.

We have a statement and we need to find out if it is true. A negative residual indicates that the model did not fit. This means that the error produced by the model is not the same between variables and observations (that is error is not random). The content is not regular, that is, the content is distributed regularly and we can conclude that the linear model is the appropriate model. If the subject sees a curvilinear pattern such as a U-shaped pattern, we can conclude that a linear pattern is not suitable and a non-linear pattern would be better. These charts are useful for identifying inconsistencies, inconsistencies in error variance, and inconsistencies. Two well-known tests for normality of residues are the Kolmogorov Smirnov test and the Shapiro-Wilk test. So, residual plot can't be used to check the non-normality of the residuals from a regression. Therefore, it is false statement.

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Answer:

Table 1 is definetely non-linear thats because if 10 - 8

then you multiply both sides by 4 you get 40 - 32 but instead of 32 it says 23.

Table 2 is also non-linear because if 8 - 4 that means y=x/2 but for 20-16 it should be 20-10 if it was linear but its not

BOTH ARE NON-LINEAR

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 50

I If you want to get the answer correct than answer 50 trust me I just answered 50 and got it right just wanted to help YW

The statement ''the formula for finding the surface area of a cylinder is sa = πr2 πrh.'' is false because the formula for finding the surface area of a cylinder is given by: SA = 2πrh + 2πr^2 , where SA represents the surface area, r is the radius of the base, and h is the height of the cylinder.

The first term, 2πrh, represents the area of the curved surface of the cylinder (the lateral surface area), which is a rectangle that wraps around the cylinder. It is calculated by multiplying the height of the cylinder by the circumference of the base.

The second term, 2πr^2, represents the areas of the two circular bases of the cylinder.

By adding these two terms together, we obtain the total surface area of the cylinder.

Therefore, the correct formula for finding the surface area of a cylinder is SA = 2πrh + 2πr^2.

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The current utilization of the road is 0.5833 or 58.33%. To calculate the current utilization of the road, we need to use the formula:

Utilization = Arrival rate x Drive time

Since we are assuming Poisson arrival and exponential drive times, we can use the following formulas:

Arrival rate = λ = 35 cars per hour
Drive time = 1/μ = 1/60 hours (since the drive time is 1 minute)

Therefore,

Utilization = 35 cars per hour x (1/60 hours)
Utilization = 0.5833 or 58.33%

So the current utilization of the road in Mountainside Village is 58.33%.
Hi! As the transportation director of Mountainside Village, we can calculate the current utilization of the road using the given terms. The peak traffic rate is 35 cars per hour, and the drive time without traffic is 1 minute (or 1/60 hours).

Since we're assuming Poisson arrival and exponential drive times, we can calculate the utilization (ρ) using the formula:

ρ = λ / μ

Here, λ represents the arrival rate (35 cars/hour), and μ represents the service rate, which is the inverse of the average drive time (1/60 hours).

So, μ = 1 / (1/60) = 60 cars/hour

Now, we can calculate the utilization:

ρ = 35 cars/hour / 60 cars/hour = 0.5833 (rounded to 4 decimal places)

Thus, the current utilization of the road is 0.5833 or 58.33%.

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Answer:

67°

Step-by-step explanation:

Sum of the interior angles of a triangle = 180

To find x, set the sum of the supplementary angles to the 3 shown angles (x-6, x+9, x) equal to 180:

180 = (180-x+6) + (180-x-9) + (180-x)

180 = 536 - 3x

-357 = -3x

x = 119

119 - 6 = 113    this is the angle supplementary to ∠LMN, therefore:

m∠LMN = 180 - 113 = 67°

Answer:

$184

Step-by-step explanation:

85 + 7 = 92

92 x 2 = 184

The sum using the distributive property is 75

From the question, we have the following expression

30 + 45

Rewrite the given expression as follows

This is represented using

(30 + 45)

Factor out 5 from the expression

So, we have the following representation

30 + 45 = 5(6 + 9)

The above means that 5 is the GCF of the sum expression 30 + 45

This represents the GCF

Solving further, we have

30 + 45 = 5 * 15

Evaluate

30 + 45 = 75

Hence, the sum is 75

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Answer:

Step-by-step explanation:

Answer:

It depends on what you're looking for, but-

Writing an equation from words: w+14=5

Solving for w: w=-9

Step-by-step explanation:

Writing an equation from words:

"Sum" means the answer to an addition problem, for example,

1+1=2.

2 would be the sum.

Anyways, the word problem says the sum is 5. So this is what our equation looks like: ?=5

The two numbers being added together are "w" and "14," which leads us to our answer: w+14=5

Solving for w:

w+14=5

Subtract 14 from both sides to get your answer:

w= -9