An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2. The engineer wants to estimate the difference between the mean yield of tomato plants grown with Add1 and the mean yield of tomato plants grown with Add2. The engineer studies a random sample of 12 tomato plants grown using Add1 and a random sample of 13 tomato plants grown using Add2. (These samples are chosen independently.) When he harvests the plants he counts their yields. These data are shown in the table. Yields (in number of tomatoes) Add1 162, 168, 175, 167, 181, 180, 187, 171, 167, 191, 166, 172 Add2 178, 185, 185, 227, 145, 202, 218, 211, 156, 164, 173, 194, 166 Send data to calculator V Assume that the two populations of yields are approximately normally distributed. Let μ₁ be the population mean yield of tomato plants grown with Add1. Let μ₂ be the population mean yield of tomato plants grown with Add2. Construct a 90% confidence interval for the difference μ₁ −μ₂. Then find the lower and upper limit of the 90% confidence interval. Carry your intermediate computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.) ?

Answer:

12

Step-by-step explanation:

you start with multiplication so 1×2=2 then add 10 so the answer is 12

Answer:

12

Step-by-step explanation:

1x2=2+10=12

Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.

Given dimensions:

Length = 7 feet

Width = 3 feet

Height = 4.8 feet

Surface Area of each face:

Front and back faces: Length * Height

= 7 feet * 4.8 feet

= 33.6 square feet

Top and bottom faces: Width * Length

= 3 feet * 7 feet

= 21 square feet

Side faces: Width * Height

= 3 feet * 4.8 feet

= 14.4 square feet

Total Surface Area:

2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)

= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet

= 67.2 square feet + 42 square feet + 28.8 square feet

= 137 square feet

Therefore, the total surface area of the bench is 137 square feet.

Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.

Cost per square foot = $0.89

Total Surface Area = 137 square feet

Total cost to cover the bench:

= Cost per square foot * Total Surface Area

= $0.89 * 137 square feet

= $121.93

Therefore, it will cost $121.93 to cover the bench with ceramic tiles.

Answer:

FGHI is a Parallelogram

There are 25 prime numbers between 1 and 100. There are 25 prime numbers between 1 and 100. Prime numbers are important in mathematics and have numerous applications, including cryptography, number theory, and computer science.

To find the prime numbers between 1 and 100, we can check each number in that range to see if it is divisible by any number other than 1 and itself. A more efficient approach is to use the Sieve of Eratosthenes algorithm. Using this method, we can eliminate multiples of each prime number starting from 2. The remaining numbers after the elimination process are prime.

Using this algorithm, we find that the prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

There are 25 prime numbers between 1 and 100. Prime numbers are important in mathematics and have numerous applications, including cryptography, number theory, and computer science.

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Answer:

x=4/9

Step-by-step explanation:

3(2x+8)=60x

6x+24=60x

6x+24-24=60x-24 -60x

-54x=-24

-54x= -24

x= 4/9

It appears that you have created a relative-frequency distribution graph for some data (possibly related to investment returns) and would like to use a normal density function to model future returns. The most important assumption to consider in this context is the assumption of normality.

The normality assumption states that the underlying data follows a normal distribution, also known as the Gaussian distribution or bell curve. This distribution is characterized by its symmetric bell shape and is defined by its mean (average) and standard deviation (a measure of variability). In a normal distribution, about 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

When using the normal density function to model future returns, it is crucial to assume that the data exhibits normality. This means that the relative frequencies of the returns in the dataset follow the pattern expected from a normal distribution. If the data significantly deviates from normality, the predictions made using the normal density function might not be accurate and could lead to poor decision-making in future investment scenarios.

In summary, the most important assumption to consider when using a normal density function to model future returns based on a relative-frequency distribution graph is that the data follows a normal distribution. This assumption allows for accurate predictions and better decision-making in investment planning.

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The name for a data value that is far above or below the rest is called an outlier.

An outlier is an observation that deviates significantly from other observations in a dataset. It is an extreme value that lies outside the typical range of values and may have a disproportionate impact on statistical analyses and calculations. Outliers can occur due to various reasons, including measurement errors, data entry mistakes, or genuine rare events. Identifying and handling outliers appropriately is important in data analysis to ensure accurate and reliable results.

When dealing with outliers, it is important to assess whether they are the result of errors or genuine extreme values. Statistical techniques, such as box plots, scatter plots, or z-scores, can be used to detect outliers. Once identified, the appropriate action depends on the nature and cause of the outliers. In some cases, outliers may need to be corrected or removed from the dataset, while in other cases, they may provide valuable insights or require further investigation.

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The definite integral for the area of the surface generated by revolving the curve y = 6x^3 + 2x about the x-axis, over the interval 1 ≤ x ≤ 2, can be set up and evaluated as follows:

∫[1 to 2] 2πy √(1 + (dy/dx)^2) dx

To calculate dy/dx, we differentiate the given equation:

dy/dx = 18x^2 + 2

Substituting this back into the integral, we have:

∫[1 to 2] 2π(6x^3 + 2x) √(1 + (18x^2 + 2)^2) dx

Evaluating this definite integral will provide the surface area generated by revolving the curve about the x-axis.

b) The definite integral for the area of the surface generated by revolving the curve x = 4y - 1 about the y-axis, over the interval 1 ≤ y ≤ 4, can be set up and evaluated as follows:

∫[1 to 4] 2πx √(1 + (dx/dy)^2) dy

To calculate dx/dy, we differentiate the given equation:

dx/dy = 4

Substituting this back into the integral, we have:

∫[1 to 4] 2π(4y - 1) √(1 + 4^2) dy

Evaluating this definite integral will provide the surface area generated by revolving the curve about the y-axis.

By setting up and evaluating the definite integrals for the given curves, we can find the surface areas generated by revolving them about the respective axes. The integration process involves finding the appropriate differentials and applying the fundamental principles of calculus.

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Answer:

8720

Step-by-step explanation:

If it's anything like compound / simple interest here's how to do it:

The multiplier for +9% is 1.09

8000 x 1.09 = 8720

In this case, since the value is 2.77 standard deviations above the mean, it can be considered to be rare and unusual.

Given value is 250 with a dataset mean of 182 and standard deviation of 26. We can find the number of standard deviations the value is above the mean as follows:

The value is 2.88 standard deviations above the mean.

To find the standard score we use:

standard score = (value - mean) / standard deviation

Substitute the given values:

standard score = (250 - 182) / 26

standard score = 68 / 26

standard score = 2.7692

We are asked to round our answer to two decimal places. Hence, we will round 2.7692 to 2.77. Therefore, the value is 2.77 standard deviations above mean. If a dataset is normally distributed, then we can use the standard deviation to determine how rare a given value is. For instance, a value that is 2 standard deviations away from the mean can be interpreted as being rare or unusual.

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Center: (-5,7)

Opens Vertically: (-5,-6)

The other vertex : (-5, 20)

The terms vertical and horizontal often refer to directions. Vertical lines run up and down, and horizontal lines run sideways. The letter 'v' pointing down tells you which direction is vertical.

Anything parallel to the horizon is called horizontal. Vertical is the opposite of horizontal, so anything that forms a 90-degree angle (right angle) with the horizontal or horizontal line is said to be vertical. Therefore, horizontal lines are lines from left to right. Place a horizontal one next to it, like a person is lying down, as opposed to a vertical one. When sleeping (unless it's a horse) the body is horizontal. Horizontal ones are parallel to the ground or pointing in the same direction as the horizon. Stacking books sideways will make them sideways.

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Answer: You have a credit card that has a balance of $3,589.90 and a credit limit of $5,000. How much is the balance over the acceptable debt ratio percentage? $981.88.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the acceptable debt rate would be 43%

The data described in the tables is best modeled by a linear function or an exponential function both linear.

Hence, The data described in the tables is best modeled by a linear function or an exponential function both linear.

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Answer:

a b d e

Step-by-step explanation:

The reason is for A. BD=BF is the same length

the reason for B. is that angle one and two combined is a right angle so 90 degrees

the reason for D. is that E is in the middle of DF if you cut it in half where the E is it will be equal to each other

the reason for E. is that is angle three and four combined equals 90 degrees

The requried expression of 14 × 14 × 14 × 14 × 14 × 14  using exponents is 14⁶.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

As we know that while multiplying the identical terms the product is equal to the number with the sum of the exponents such as a × a = a¹⁺¹ = a².

Similarly,

14 × 14 × 14 × 14 × 14 × 14 can be written using exponents as, 14⁶

To evaluate this expression, you can use a calculator or simplify it using the laws of exponents.

Thus, the requried expression using exponents is 14⁶.

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Answer:

3 I think forgive me if im wrong.

Step-by-step explanation:

Answer: slope is -1/3

a parallel line answer is below

Step-by-step explanation:

3x+9y=12 can be automatically rewritten as 9y=-3x+12 but the proper form is y= (−1/3)x +(4/3)

to find a parallel line to another slope, you must keep the slope and change the y intercept.

so for example:

y= -1/3x + 4 would follow this rule

but really you can change the y intercept to anything reasonable

The amount of money that the club expects to warn by the end of the 10 game season would be = $27.06

The profit made at the end of the first game = -12.50

The profit made at the end of the second game= -10.15

The profit made at the end of the third game= 18.65

The profit made at the end of the fourth game= 25.90

The profit made at the end of the fifth game = 45.75

First we find the average profit made in the first five games such as;

= -12.50 + -10.15 + 18.65 + 25.90 + 45.75

= 90.3 −22.65 = 67.65/5 = 13.53

Therefore for the next five games which will make it up to 10 game he is expected to have a profit of 13.53×2 = $27.06.

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Answer:314

Step-by-step explanation:

radius=diameter divided by 2

area=\(\pi radius^{2}\)

a=\(\pi 10^{2}\)

a=314.16

rounded to the nearest whole

a=314

Answer:

18 hours of footage.

Step-by-step explanation:

This is a LCM problem. The least common multiple of 6 and 9 is 18. The minimum amount of hours needed to see the sparrow and butterfly at the same time is 18.

Since the bond is a discount bond, it's only payment is the repayment of the par value at maturity, i.e., in one year.Yield to maturity = 25%

Yield to maturity (YTM) is the total rate of return a bond will have achieved after all interest payments and principal repayments have been made.

In essence, YTM represents the internal rate of return (IRR) on a bond if held to maturity.It can be difficult to calculate yield to maturity because it makes the assumption that the bond's rate of return is applicable to all interest and coupon payments.

800 = \(\frac{1000} {1 + \:\:yield \:\:to \:maturity}\)

1 + Yield to maturity = 1.25

Yield to maturity = 25%

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Answer:

y=6x-5

Step-by-step explanation:

The standered form for the equation of a liner line is y=mx+b where m=the slope and b= the y intercept.

First you need to find the slope which is the change in y over the change in x. The change in the y values (7 and -5) is -12 and the change in the x values (2 and 0) is -2. So the slope is -12/-2 which can be simplified to -6/-1 or 6.

Now that you have the slope you just need the y-intercept. Pick one of the two points from the problem and input that into the x and y values and solve for b. For example 7=6(2)-b where 6(2)=12 and you can then subtract 12 from each side to isolate be and end up with b=-5.

In your final answer, x and y remain as variables to get y=6x-5.

Answer:

B

Step-by-step explanation:

Fip numbers and change both signs when reflecting over y=-x

Answer:

C

Step-by-step explanation:

The percentage of American women with shoe sizes between 6.93 and 9.93 is approximately 68%. To determine the percentage of American women with shoe sizes between 6.93 and 9.93 using the empirical rule.

We need to calculate the z-scores corresponding to these shoe sizes and then use the standard normal distribution. The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution:

- Approximately 68% of the data falls within one standard deviation of the mean.

- Approximately 95% falls within two standard deviations.

- Approximately 99.7% falls within three standard deviations.

First, we calculate the z-scores for the shoe sizes using the formula:

z = (x - μ) / σ

where x is the shoe size, μ is the mean, and σ is the standard deviation.

For the lower limit (6.93):

z1 = (6.93 - 8.43) / 1.5 = -1

For the upper limit (9.93):

z2 = (9.93 - 8.43) / 1.5 = 1

Now, we can use the standard normal distribution to find the percentage of data between these z-scores.

From the empirical rule, we know that approximately 68% of the data falls within one standard deviation of the mean. Therefore, the percentage of data between -1 and 1 (z1 and z2) is approximately 68%.

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Answer:

a

Step-by-step explanation:

e d g e 2 1

The relationship between the both component would be v = 2u. So, the option A. The vectors point in the same direction is correct.

If we have given a vector v of initial point A and terminal point B

v = ai + bj

then the components form as;

AB = xi + yj

Here, xi and yj are the components of the vector.

Consider u = (5,-2) and v= (10,-4).

Now, multiply each component by 2

2u = 2 (5, - 2 )

= (10, - 4) = v ,

then

v = 2u

Hence, the relationship between the both component would be v = 2u.

So, the option A. The vectors point in the same direction is correct.

The complete question is

"Consider u = ⟨5, –2⟩ and v = ⟨10, –4⟩. What is the relationship between u and v?.

A. The vectors point in the same direction.

B. The vectors form an acute angle.

C. The vectors form an obtuse angle.

D. The vectors point in opposite directions."

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Answer:

-5

Step-by-step explanation:

-11-(-6)

-11+6

-5

If this helps please mark as brainliest

Answer:

d

Step-by-step explanation:

the submarine is below water so that's considered a negative and the number in  the equation is negative 3. and if you keep multiplying a positive by a negative the number stays negative and thats the submarine getting deeper and deeper into the ocean if that makes sense.