please answer this 4 me , 50 points <3

Answer:

$27.09 in all

Step-by-step explanation:

$1.29 × 16.5 = $21.285

$1.29 × 4.5 = $5.805

$21.285 + $5.805 = $27.09

The task is to construct an 80% confidence interval for the mean noise level at manufacturing plants based on the given data.

Step 1: Calculate the sample mean. The sample mean is obtained by summing up all the values and dividing by the total number of observations. In this case, the sum of the noise levels is 115 + 149 + 143 + 105 + 136 + 157 + 111 = 916. Dividing this by 7 (the number of observations), we get a sample mean of 916/7 ≈ 130.9 (rounded to one decimal place).

Step 2: Calculate the sample standard deviation. The sample standard deviation measures the spread of the data points around the mean. To calculate it, we use the formula that involves subtracting the mean from each data point, squaring the result, summing all the squared differences, dividing by the total number of observations minus 1, and finally taking the square root. For the given data, the sample standard deviation is approximately 22.8 (rounded to one decimal place).

Step 3: Find the critical value. The critical value corresponds to the desired confidence level and the sample size. Since the confidence level is 80% and the sample size is 7, we need to find the critical value from a t-distribution table. The critical value for an 80% confidence interval with 6 degrees of freedom is approximately 1.943 (rounded to three decimal places).

Step 4: Construct the confidence interval. Using the sample mean, the sample standard deviation, and the critical value, we can construct the confidence interval. The formula for a confidence interval is "sample mean ± (critical value * (sample standard deviation / √(sample size)))". Plugging in the values, we get 130.9 ± (1.943 * (22.8 / √(7))). Evaluating this expression, the 80% confidence interval for the mean noise level at such locations is approximately 103.2 to 158.6 (rounded to one decimal place).

Learn more about standard deviation here: https://brainly.com/question/29115611

#SPJ11

Answer:

7.5 I guess?

Step-by-step explanation:

??

Step-by-step explanation:

l dont understand this can you explain

Answer:y=25 x 2 -8

Step-by-step explanation:

25 x 2-8

Answer

Step-by-step explanation:

i need the form of opperations what are you doing? standard form algerbraic roots with mixed fractions?

Answer:

[(5z+3 -3z)5z+3 - 3z

combine 5z and _3z to get 2z

(2z+3)x5z +3 - 3z

use the distributive property to multiply 2z + 3 by 5

(10z + 15)z + 3 - 3z

use the distributive property to multiply 10z+15 by z

10z2+15z+3-3z

combine 15z and -3z to get 12z

10z2+12z+3

Step-by-step explanation:

It will take all three pumps, Working together, 1.56 minutes to fill the pool.

The given information, we can write three equations as follows:

1) (1/A + 1/B)*35 = C  ---(Equation 1)

2) (1/B + 1/C)*40 = C  ---(Equation 2)

3) (1/A + 1/C)*56 = C  ---(Equation 3)

We want  how many minutes it will take all three pumps, working together, to fill the pool, so let's represent the time taken by all three pumps working together as "t".

When all three pumps work together, they can fill the pool in one minute, so their combined rate is 1/C.

Using the rate formula, we can write the following equation:

1/A + 1/B + 1/C = 1/t   ---(Equation 4)

We have four unknowns (A, B, C, and t), so we need to solve for one of them to get the answer. Let's solve for "t".

First, we can simplify Equations 1, 2, and 3 as follows:

1) 1/A + 1/B = C/35

2) 1/B + 1/C = C/40

3) 1/A + 1/C = C/56

Next, we can substitute these equations into Equation 4 to get:

(C/35) + (C/40) + (C/56) = 1/t

Now, we can simplify and solve for "t":

LCD = 39200

1120C + 980C + 700C = 39200

2800C = 39200

C = 14

Substituting this value of "C" into any of the simplified equations, we can solve for "A" and "B". Let's use Equation 1:

1/A + 1/B = 14/35

5(A+B) = 98

A+B = 19.6

Now we can use A+B+C = 1/t to solve for "t":

t = 1 / (A+B+C) = 1 / (19.6 + 14) = 0.026 hours = 1.56 minutes

Therefore, it will take all three pumps, working together, 1.56 minutes to fill the pool.

To know more about Working together.

https://brainly.com/question/25832963

#SPJ11

The equation of the line is y = (-1/5)x + 7.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

5y + x = 10

5y = -x + 10

y = (-1/5)x + 10  _____(1)

This is in the form of,

y = m(1)x + c

This means,

m(1) = (-1/5) ______(2)

The equation that is parallel to (1) can be assumed as a general equation as,

y = m(2)x + c _______(4)

Since (1) and (4) are parallel.

From (4) and (3)

m(1) = m(2)

So,

m(2) = (-1/5) _____(5)

And,

y-intercept = 7 _____(6)

Now,

From (4), (5) and (6)

y = (-1/5)x + 7

Thus,

The equation of the line is y = (-1/5)x + 7.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ1

Answer:

the answer would be 3.4 + 4 = 7.4 .

Answer:

the answer would be 3.4 + 4 = 7.4 .

Step-by-step explanation:

At simba travel agency, the price of a climbing trip to mount kilimanjaro includes an initial fee and the initial fee is $110.

In the given equation, f = 110 + 0.12d, we are told that f represents the fee (in dollars) for climbing d meters. We need to determine the initial fee, which is the fixed amount that is added regardless of the number of meters climbed.

By examining the equation, we can observe that the initial fee is represented by the constant term, which is 110. This means that regardless of the number of meters climbed, there is a base fee of $110.

The additional term, 0.12d, represents the fee per meter climbed. This term varies based on the distance covered and is calculated by multiplying 0.12 by the number of meters climbed (d).

Therefore, the initial fee is $110. This amount is charged upfront to cover the basic costs associated with the climbing trip, such as administration, guides, and other fixed expenses. The additional fee per meter climbed is added to account for the variable costs directly proportional to the distance covered during the climb.

Know more about distance here:

https://brainly.com/question/30395212

#SPJ8

The size of the letters appear on the retina is 0.00289 cm

Given data:

To determine the size of the letters on the retina, use the concept of angular size and the relationship between object size, distance, and angular size.

Angular size is the measure of the angle subtended by an object as seen from a particular point, in this case, the eye.

Angular size = Object size / Distance

Object size = 1.0 cm

Distance = 6 meters

Angular size = 1.0 cm / 6 meters

To convert the distance to centimeters, multiply by 100:

Angular size = 1.0 cm / (6 meters * 100 cm/meter)

Angular size = 1.0 cm / 600 cm

Angular size = 0.0017 radians

The angular size of the letters is 0.0017 radians.

Now, to determine the size of the letters on the retina, calculate the linear size on the retina using the angular size and the distance from the lens to the retina.

Linear size on retina = Angular size * Distance from lens to retina

Angular size = 0.0017 radians

Distance from lens to retina = 1.7 cm

Linear size on retina = 0.0017 radians * 1.7 cm

Linear size on retina ≈ 0.00289 cm

Hence, the letters appear to be approximately 0.00289 cm in size on the retina.

To learn more about angular size, refer:

https://brainly.com/question/33724125

#SPJ4

Answer:

TRUE

Step-by-step explanation:

The probability of committing a type 1 error is called alpha (or the level of statistical significance)

Alpha is the probability of committing a type i error. The statement is True.

Alpha is also known as the level of significance. In hypothesis testing, the level of significance is used to determine the acceptance or rejection of a null hypothesis. It's calculated by dividing the critical value (the value beyond which we can reject the null hypothesis) by the standard deviation of the population. The level of significance is typically set to 0.05 or 0.01. If the p-value (the probability of getting the observed results by chance) is less than the level of significance, we reject the null hypothesis and conclude that the alternative hypothesis is true.

Therefore, it's true that alpha is the probability of committing a type I error, which occurs when we reject a null hypothesis that is actually true. A type I error is also known as a false positive. In other words, we conclude that there is a significant effect or relationship when there isn't one. The level of significance is a measure of how willing we are to make this type of error. If we set a high level of significance, we are more likely to make a type I error.

To know more about null hypothesis, visit

https://brainly.com/question/30821298

#SPJ11

Answer:

Step-by-step explanation: Use pemdas as your help.

It gives you steps you help to answer this question.

The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.

Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.

Learn more about linear equation here

https://brainly.com/question/11897796

#SPJ4

The no-arbitrage price today of a 5-year $1,000 US Treasury note with a 2% coupon rate and a 4.25% yield to maturity is approximately $908.44, closest to option B: $900.53.

To determine the no-arbitrage price of a 5-year $1,000 US Treasury note with a coupon rate of 2% and a yield to maturity (YTM) of 4.25%, we can use the present value of the future cash flows.First, let's calculate the annual coupon payment. The coupon rate is 2% of the face value, so the coupon payment is ($1,000 * 2%) = $20 per year.The yield to maturity of 4.25% is the discount rate we'll use to calculate the present value of the cash flows. Since the coupon payments occur annually, we need to discount them at this rate for five years.

Using the present value formula for an annuity, we can calculate the present value of the coupon payments:PV = C * (1 - (1 + r)^-n) / r,

where PV is the present value, C is the coupon payment, r is the discount rate, and n is the number of periods.

Plugging in the values:PV = $20 * (1 - (1 + 0.0425)^-5) / 0.0425 = $85.6427.

Next, we need to calculate the present value of the face value ($1,000) at the end of 5 years:PV = $1,000 / (1 + 0.0425)^5 = $822.7967.

Finally, we sum up the present values of the coupon payments and the face value:No-arbitrage price = $85.6427 + $822.7967 = $908.4394.

Rounding to the penny, the no-arbitrage price is $908.44, which is closest to option B: $900.53.

To learn more about discount rate click here

brainly.com/question/31318990

#SPJ11

It is known that the radius is half the diameter of the circle so it follows:

1. For d=16 meters it follows:

The radius is 8 meters.

2. For d=4 centimeters it follows:

Hence the radius is 2 centimeters.

For point, p divides the directed line segment xy so that the ratio of xp to py is 3 to 5 correct option is d. Point R is three-fifths of the way from point P to point Y along PY.

The directed line segments divide a line into ratios, and each ratio has different properties. The properties of ratios of points on a line are dependent on the way the line is divided. For instance, suppose point p divides the directed line segment xy so that the ratio of xp to py is 3 to 5. We can describe point r that divides the directed line segment yx so that the ratio of yr to rx is 5 to 3 as follows:
We can solve this problem using the concept of directed line segments and the properties of ratios of points on a line.

Since P divides the directed line segment XY in the ratio 3:5, we can write:

XP = (3/8)XY and PY = (5/8)XY

Now, let's consider the directed line segment YX. We want to find a point R on this segment such that YR:RX = 5:3.

We can express YR and RX in terms of XY using the fact that YX = -XY:

YR = (5/8)YX and RX = (3/8)YX

Substituting -XY for YX, we get:

YR = (-5/8)XY and RX = (-3/8)XY

To find the location of point R, we need to find the distance from Y to R along the directed line segment YX. We can do this by adding the distances from Y to P and from P to R:

YR = YP + PR

Using the ratios we derived earlier, we can express YP and PR in terms of XY:

YP = PY = (5/8)XY

PR = R - P = (3/8)XY - (3/8)XY = 0

Therefore, YR = (5/8)XY + 0 = (5/8)XY

This means that point R is located at a distance of 5/8 of the length of YX from Y. So, the correct answer is (d) Point R is three-fifths of the way from point P to point Y along PY.

To know more about the "directed line segment": https://brainly.com/question/12959377

#SPJ11

As for writing an equivalent inequality in terms of m, we can consider the original inequality -m ≥ 4 - m ≥ 4. Since this inequality does not hold true for any value of m, we cannot write an equivalent inequality.

To determine the values that make the inequality -m ≥ 4 - m ≥ 4 true, let's examine the given options:

-9, -5, -4.1

-4, -3.9, -3

-1, 0, 1

3, 3.9, 4

4.1, 5, 9

We need to identify the values that satisfy the inequality -m ≥ 4 - m ≥ 4.

Considering the inequality -m ≥ 4 - m, we can simplify it as follows:

-m ≥ 4 - m

-m + m ≥ 4 - m + m (adding m to both sides)

0 ≥ 4 (simplifying)

Since 0 is not greater than or equal to 4, this inequality is not true for any value of m.

Therefore, there are no values from the given options that satisfy the inequality -m ≥ 4 - m ≥ 4.

Learn more about inequality at: brainly.com/question/20383699

#SPJ11

It is given that PG grading requirement is met if the values of S(t) are between -3.2 and +3.2. As all the calculated values of S(t) lie within this range, the asphalt meets PG grading requirement.

Given data: Bending rheometer: 0.4mm, 0.5mm, 0.65mm, 0.82mm, 0.98mm, and 1.3mm for t = 15s, 30s, 45s, 60s, 75s, and 90s.

We are supposed to calculate the values of S(t) and m to check if the asphalt meets PG grading requirement.

Calculation of m:

Mean wheel track rut depth = (0.4+0.5+0.65+0.82+0.98+1.3)/6

= 0.7933mm

Calculation of S(t)

S(t) = (x - m)/0.3

Where, x = 0.4mm, 0.5mm, 0.65mm, 0.82mm, 0.98mm, and 1.3mm

Given, m = 0.7933mm

Substituting these values into the formula above:

S(15s) = (0.4 - 0.7933)/0.3

= -1.311S(30s)

= (0.5 - 0.7933)/0.3

= -0.9777S(45s)

= (0.65 - 0.7933)/0.3

= -0.4777S(60s)

= (0.82 - 0.7933)/0.3

= 0.128S(75s)

= (0.98 - 0.7933)/0.3

= 0.62S(90s)

= (1.3 - 0.7933)/0.3

= 1.521

It is given that PG grading requirement is met if the values of S(t) are between -3.2 and +3.2. As all the calculated values of S(t) lie within this range, the asphalt meets PG grading requirement.

To know more about range visit

https://brainly.com/question/29463327

#SPJ11

The geometric probability of landing in the shaded area is 0.17. This is calculated by finding the ratio of the area of the smaller circle to the area of the larger circle.

Given, the diameter of the small circle is 20 in and the diameter of the larger circle is 48 in. In order to find the geometric probability of landing in the shaded area of the picture, we need to calculate the ratio of the area of the smaller circle to the area of the larger circle.

The area of a circle is given by the formula: \($A = \pir^2$\), where r is the radius of the circle. We know that the diameter of the small circle is 20 in, so the radius is 10 in. Similarly, the diameter of the large circle is 48 in, so the radius is 24 in.

Area of the smaller circle = \(\pi(10)^2 = 100\pi in^2\)

Area of the larger circle = \(\pi(24)^2 = 576\pi in^2\)

Area of shaded region = Area of the larger circle - Area of the smaller circle = \(576\pi-100\pi = 476\pi in^2\)

The probability of landing in the shaded region is the ratio of the area of the smaller circle to the area of the larger circle. Hence, geometric probability = \(\frac{100\pi}{576\pi} = 0.17\)(rounded to the nearest hundredth place).

Thus, the geometric probability of landing in the shaded area of the picture is 0.17. In summary, the geometric probability of landing in the shaded area of the picture is obtained by calculating the ratio of the area of the smaller circle to the area of the larger circle.

For more questions on probability

https://brainly.com/question/23417919

#SPJ8

Answer:

x=-1-5√17/2

Step-by-step explanation:

logo((x-2)(x+2))=2

logo(x²+3x-2x-6)=2

x²+3x-2x-6=10²

x²+x-6=100

x²+x-106=0

x=-1+5√17/2

Step-by-step explanation:

The answer can be read off the intersection of the graph, which is (1,5), i.e. one unit in x and 5 units in y.

The probability of observing exactly 3 errors in the carpet is approximately 0.0516, rounded to four decimal places.

The number of weaving errors in a twenty-foot by ten-foot roll of carpet is a random variable with a Poisson distribution. The Poisson distribution is commonly used to model the number of events that occur in a fixed time or space interval, assuming that the events occur independently and at a constant rate.

The mean of the Poisson distribution is denoted by lambda (λ), and in this case, we are given that λ = 0.5. The probability of observing exactly 3 errors in the carpet can be calculated using the Poisson probability formula:

P(X = 3) = (λ^x * e^(-λ)) / x!

where X is the random variable representing the number of errors, λ is the mean, x is the specific value of the random variable we are interested in (in this case, x = 3), and e is the mathematical constant approximately equal to 2.71828.

Plugging in the values, we get:

P(X = 3) = (0.5^3 * e^(-0.5)) / 3! ≈ 0.0516

To learn more about probability click on,

https://brainly.com/question/31097881

#SPJ4

The correct answer to the question is option d) 75 PCF.

To calculate the expected vertical load, we need to consider the weight of the concrete slab and the additional load due to the concrete's temperature and pouring rate. The weight of the slab can be calculated by multiplying the density of the concrete (150 PCF) by the depth (6 inches) and the area (1 square foot). This gives us a weight of 75 pounds per square foot (PSF).

The temperature and pouring rate do not directly affect the vertical load. The temperature and pouring rate are factors that may affect the structural integrity of the slab or the time it takes for the concrete to fully cure. However, they do not contribute to the actual load borne by the slab itself. Therefore, the correct answer is 75 PCF, as it represents the weight of the concrete slab alone.

For more information on PCF visit: brainly.com/question/21579391

#SPJ11

The number of T-shirts sold in the coming year is 25. The weekly sales of Lord of the Rings T-shirts fell by 10% per week.

In this question, we are given the following information:

Weekly sales of Lord of the Rings T-shirts is falling by 10% per week. The number of T-shirts sold per week now is 80. The task is to find how many T-shirts will be sold in the coming year (i.e., 52 weeks). We can solve this problem through the use of the exponential decay formula.

The formula for exponential decay is:

A = A₀e^(kt)where A₀ is the initial amount, A is the final amount, k is the decay constant, and t is the time elapsed. The formula can be modified as:

A/A₀ = e^(kt)

If sales are falling by 10% per week, it means that k = -0.1. So, the formula becomes:

A/A₀ = e^(-0.1t)

Since the initial amount is 80 T-shirts, we can write:

A/A₀ = e^(-0.1t)80/A₀ = e^(-0.1t)

Taking logarithms on both sides, we get:

ln (80/A₀) = -0.1t ln e

This simplifies to:

ln (80/A₀) = -0.1t

Rearranging this formula, we get:

t = ln (80/A₀) / -0.1

Now, we are given that there are 52 weeks in a year. So, the total number of T-shirts sold during the coming year is:

A = A₀e^(kt)

A = 80e^(-0.1 × 52)

A ≈ 25 shirts (rounded to the nearest shirt)

Therefore, the number of T-shirts sold in the coming year is 25. This has been calculated by using the exponential decay formula. We were given that the weekly sales of Lord of the Rings T-shirts fell by 10% per week. We were also told that the number of T-shirts sold weekly is now 80.

To know more about the exponential decay formula, visit:

brainly.com/question/28566787

#SPJ11

Answer: Choice B

Work Shown:

\(\sqrt[3]{\text{x}^5\text{y}}\\\\(\text{x}^5\text{y})^{\frac{1}{3}}\\\\(\text{x}^5)^{\frac{1}{3}}*(\text{y})^{\frac{1}{3}}\\\\\text{x}^{\frac{5}{3}}\text{y}^{\frac{1}{3}}\\\\\)

The polynomial "\(S^2\) + 1" has 2 terms and the degree of the polynomial is 2.

The given polynomial is \(S^2\)

\(S^2\) + 1200. It has two terms: \(S^2\) and 1200.

The degree of a polynomial is the highest power of the variable in any of its terms.

The given polynomial is "\(S^2\) + 1".

It has two terms, particularly "\(S^2\)" and "1".

The diploma of the polynomial is the very best energy of the variable "S" in the polynomial.

The absolute best strength of "S" is 2

Therefore, the diploma of the polynomial is 2.

So, the polynomial "\(S^2\) + 1" has two phrases and the diploma of the polynomial is 2.

n this case, the highest power of S is 2, so the degree of the polynomial is 2.
The number of terms and the degree of a given polynomial.

For similar question on polynomial:

https://brainly.com/question/11536910

#SPJ11

Answer:

Distance is 200m between each pole

Step-by-step explanation:

First, convert the length of the road into meters

        1km= 1000m

        1000m +200m= 1200m

There are 6 poles on the side and they're equally spaced

Divide the length of the road by the number of poles to get the distance between the poles

        Distance between poles= Length of road/ Number of poles

        Distance between poles= 1200m/ 6 poles

       Distance between poles= 200m