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Graph -8+x=4y-16

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Step-by-step explanation:

OI= 3.2 cm (same as OH)

To find GI, use Pythagoras Theorem (a²+b²= c²)

6.8²+3.2²= 56.48

√56.48= 7.5 cm

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Answer:

55°

Step-by-step explanation:

total angle of a triangle is 180°

we are given 2 angles

85+40+ x = 180

180-125 = 55° (x)

Answer:

A cube

Step-by-step explanation:

If you fold it, you'll see

Answer:

It tells the anwser for some questions.

Step-by-step explanation:

Answer:

For three tables, there are 12 chairs.

Step-by-step explanation:

Shawty had them apple bottom jeans-

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One table has 4 chairs. That means that two tables should have eight. Your adding 4 chairs everytime a table is added. Now 3 tables. Add 4 more chairs and you should get 12.

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Answer: 12

took the test

Answer:

\(ME =\frac{z*s}{\sqrt{n}}\)

Step-by-step explanation:

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings

To find margin of error, you need

        n = sample size

        z = z-score

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The sample mean is the best estimate of the population mean.

Option (C) is correct.

What is a sample mean?

The sample mean is a statistic obtained by calculating the arithmetic average of the values of a variable in a sample. If the sample is drawn from probability distributions having a common expected value, then the sample mean is an estimator of that expected value.

The concept used in this situation is an estimation.

The estimation in statistics is nothing but a data analysis framework that uses a combination of confidence intervals, effect sizes, and meta-analysis.

In this process we plan the experiments, analyze the data and interpret the results.

1. An estimate is a value that is based on some data and has been adjusted using statistical estimation.

2. An estimate of a population is expressed in two ways such as point estimation and interval estimation.

3. A point estimate of the population is defined as a single value of the statistic.

4. The interval estimate of the population is defined as the population parameter that lies between two numbers.

Step: 1

From the information, observe that the sample mean is not the best point estimate for the following measures.

1. Population standard deviation.

2. Population median

3. Sample standard deviation.

The sample mean is not a best-point estimate of the population standard deviation, population median, and sample standard deviation.

Since the sample means is not an unbiased estimate of these measures.

That is, the expectation of the sample mean value is not equal to the population standard deviation, population median, and sample standard deviation values.

From the information, observe that the sample mean is given and the sample mean is the best point estimate to the population mean.

The sample mean is the best point estimate of the population mean.

Since the sample mean is an unbiased estimator for the population.

Hence, the sample mean is the best estimate of the population mean.

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The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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A sufficient estimator is the distributions of exponential.The correct answer to this question is (c) exponential.

An estimator is a rule or procedure that is used to determine an estimate of a parameter based on observed data. A statistic is used to estimate a parameter, and it is computed from the observed data. An estimator is a random variable that computes a statistic from the data.

The following distributions have a sufficient estimator:

Poisson Distribution with parameters λ and x is a Poisson distribution.

The rate of the occurrence is λ.

Exponential Distribution with parameters λ and x is an exponential distribution.

The mean waiting time is 1/λ.

Bernoulli The Bernoulli distribution is not sufficient for an estimator, but the binomial distribution, which generalizes the Bernoulli distribution, is. In the context of the binomial distribution, p is a parameter Exponential

The exponential distribution is a continuous probability distribution that describes the time between events in a Poisson process, such as the amount of time until the next vehicle arrives at a traffic intersection or the amount of time a particular component lasts in a manufacturing process.

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The graph starts at a value in between 1 and 2 while the expression starts at a value of 6, therefore, the expression has a higher initial value.

Step-by-step explanation:

Given:

\( \frac{2x}{3} + 5 = \frac{11x}{15} + 14\)

Multiply both sides of the equation by the common denominator :

\( \frac{2x \times 15}{3} + 5 \times 15 = \frac{11x \times 15}{15} + 14 \times 15\)

After doing maximum cancellations,

\( = > 10x + 5 \times 15 = 11x + 14 \times 15\)

\( = > 10x + 75 = 11x + 210\)

\( = > 10x - 11x = 210 - 75\)

\( = > - x = 135\)

\( = > x = - 135\)

Hence, value of x is -135

The proportional relationships that model each relation are given as follows:

A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality represented by k, according to the equation below:

y = kx.

Both items in this problem are represented by direct proportional relationships, we just have to identify the constants then graph the relations.

The graph of a proportional relationship is linear with slope given by the constant and intercept at 0, hence the graphs for each item are given at the end of the answer.

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Work Shown:

x = number of nickels

y = number of dimes

5x = value of the nickels only (cents)

10y = value of the dimes only (cents)

5x+10y = total value of all the coins = 75 cents

One equation we can form is 5x+10y = 75.

"he has twice as many dimes as nickels" tells us that y = 2x. We can replace every copy of y with 2x and solve for x as shown in the steps below.

5x+10y = 75

5x+10(y) = 75

5x+10(2x) = 75 ... plug in y = 2x

5x+20x = 75

25x = 75

x = 75/25

x = 3

This value leads to y = 2x = 2*3 = 6

Johnny has 3 nickels and 6 dimes.

------------------

Check:

1 nickel = 5 cents

3 nickels = 3*5 = 15 cents

1 dime = 10 cents

6 dimes = 6*10 = 60 cents

3 nickels + 6 dimes = 15 cents + 60 cents = 75 cents = $0.75

The answers are confirmed.

The percentage increase in the working hours will be 4.9%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Since in 2019 the average full time worker in the us spent 8.5 hours working each workday. this is an increase on the average of 8.1 hours per workday in 2014.

The percentage increase will be:

= (8.5 - 8.1) / 8.1 × 100

= 0.4 / 8.1 × 100

= 4.9%

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(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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Answer:

Answer is B.) y= x+1

Step-by-step explanation:

hope this helps

Answer: 170

Step-by-step explanation:

275-105

The derivative of the function f(x) is f'(x) = 4x^3 - 4x. The local maximum value is f(0) = 3 and the local minimum value is f(1) = 2. There is an inflection point at x = -1/√3 and another at x = 1/√3.

a) The derivative of the function f(x) is f'(x) = 4x^3 - 4x.To find the intervals where f(x) is increasing or decreasing, we need to determine the sign of the derivative in each interval. Setting f'(x) = 0, we get x = 0 and x = 1 as critical points. We then make a sign chart and test the sign of f'(x) in each interval:

Interval (-∞,0) : f'(x) < 0, so f(x) is decreasing.

Interval (0,1) : f'(x) > 0, so f(x) is increasing.

Interval (1,∞) : f'(x) < 0, so f(x) is decreasing.

b) To find the local maximum and minimum values of f(x), we need to examine the critical points and the endpoints of the intervals. We know that x=0 and x=1 are critical points. We can then evaluate the function at these points and the endpoints of the intervals:

f(-∞) = ∞

f(0) = 3

f(1) = 2

f(∞) = ∞

Therefore, the local maximum value is f(0) = 3 and the local minimum value is f(1) = 2.

c) The second derivative of the function f(x) is f''(x) = 12x^2 - 4. To find the intervals of concavity and the inflection points, we need to determine the sign of the second derivative in each interval. We make a sign chart and test the sign of f''(x) in each interval:

Interval (-∞, -1/√3) : f''(x) < 0, so f(x) is concave down.

Interval (-1/√3, 1/√3) : f''(x) > 0, so f(x) is concave up.

Interval (1/√3, ∞) : f''(x) < 0, so f(x) is concave down.

The inflection points are the points where the concavity changes. From the sign chart, we can see that there is an inflection point at x = -1/√3 and another at x = 1/√3.

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Answer:

Step-by-step explanation:

We need to find whether the two given triangles are congruent.

The given triangles are congruent.

The distance between two points is given by

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

A(2,-8) and B(-5,-2)

\(AB=\sqrt{(-5-2)^2+(-2-(-8))^2}\\\Rightarrow AB=\sqrt{49+36}\\\Rightarrow AB=\sqrt{85}\)

D(-9,7) and E(-11,12)

\(DE=\sqrt{(-11-(-9))^2+(12-7)^2}\\\Rightarrow DE=\sqrt{29}\)

B(-5,-2) and C(-7,3)

\(BC=\sqrt{(-7-(-5))^2+(3-(-2))^2}\\\Rightarrow BC=\sqrt{29}\)

E(-11,12) and F(-2,1)

\(EF=\sqrt{(-2-(-11))^2+(1-12)^2}\\\Rightarrow EF=\sqrt{202}\)

A(2,-8) and C(-7,3)

\(AC=\sqrt{(-7-2)^2+(3-(-8))^2}\\\Rightarrow AC=\sqrt{202}\)

D(-9,7) and F(-2,1)

\(DF=\sqrt{(-2-(-9))^2+(1-7)^2}\\\Rightarrow DF=\sqrt{85}\)

It can be seen that \(AB=DF=\sqrt{85}\), \(BC=DE=\sqrt{29}\) and \(AC=EF=\sqrt{202}\).

Since, each side of triangle ABC is equal to one side of triangle DEF they are congruent to each other.

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An equation to represent the relationship between miles driven (y) and gallons of gas (x) used is \(28=ky\)

Given the following data:

Distance = 28 miles

To write an equation to represent the relationship between miles driven (y) and gallons of gas (x) used:

In this exercise, we would assign a variable to the parameters stated in the question in order to write an equation to represent the relationship between miles driven (y) and gallons of gas (x) used by Weston’s car during the trip.

Also, the amount of gas used up by a car is directly proportional to the distance traveled by the car. Mathematically, this is given by this expression:

\(x\; \alpha \;y\\ \\ x=ky\)

Substituting the given parameters into the formula, we have;

\(28=ky\)

Note: k is the constant of proportionality.

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Step-by-step explanation:

Let's call the length of the base of the triangle "b". We know that the height of the triangle is double the length of the base, so the height can be written as "2b".

We also know that the area of the triangle is approximately 200 square feet. The formula for the area of a triangle is:

A = (1/2)bh

where A is the area, b is the length of the base, and h is the height.

We can substitute in the values we know:

200 = (1/2)bh

Since we know that h = 2b, we can substitute that in:

200 = (1/2)b(2b)

Simplifying:

200 = b^2

This is the equation we can use to find the length of the sign's base, b.

We can set the equation to: 200 = (1/2) × b × (2b)

To find the length of the sign's base, b, we can use the equation for the area of an isosceles triangle: A = (1/2)bh, where b is the length of the base and h is the height. Since we know that the height is double the length of the base, we can substitute 2b for h in the equation: A = (1/2)b(2b). Simplifying, we get A = b^2. Since we know that the area should be approximately 200 square feet, we can set A = 200 and solve for b: b^2 = 200. Taking the square root of both sides, we get b = 14.14 feet. Therefore, the length of the sign's base should be approximately 14.14 feet.

To find the equation for the length of the base of the sign, we'll use the formula for the area of a triangle, which is:

Area = (1/2) × base × height

Since the height of the triangle is double the length of its base (h = 2b), we can rewrite the equation as:

Area = (1/2) × b × (2b)

The owner of Trixie's Sweets and Treats wants the area of the sign to be approximately 200 square feet. So, we can set the equation to:

200 = (1/2) × b × (2b)

Now we have the equation that you can use to find the length of the sign's base, b.

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Answer:

x=5

Step-by-step explanation:

10+2x -4= 2x+1+x

6+2x=3x+1

6=x+1

5=x

The area of the triangle is 62.8 Square cm

The figure represents the given parameter

From the figure, we have the following values

a = 10 cm

b = 13 cm

C = 105 degrees

The area of the triangle is calculated using the following area formula

Area = 1/2absin(C)

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 10 * 13 * sin(105 degrees)

Evaluate

Area = 62.8

Hence, the area is 62.8 Square cm

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Answer:

6

Step-by-step explanation: not 6

Answer:

f(20) = 10

Step-by-step explanation:

To calculate the number of cycles we need above 3 options

Stop Watch Time Study:

Stop Watch Time Study is one of the equipment used for Time Study. It is employed for measuring the time taken by an operator to complete the work. Stop watch used for time study purpose should be very accurate and preferably be graduated in decimals so that it can recover even up to 0.01 minute.

A large hand in the stop watch is revolved at a speed of one revolution per minute. The dial of the stop watch is divided into 100 equal divisions. The small hand inside the stop watch revolves at a speed of one revolution in 30 minutes.

Given that

In a stopwatch time study, the number of cycles that must be timed is a function of:

options are

(i) the variability of observed times.

(ii) the desired accuracy for the estimated job time.

(iii) the desired level of confidence for the estimated job time

To calculate the number of cycles we need above 3 options

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