Problem 4. (1 point) Construct both a 90% and a 99% confidence interval for B₁. B₁37, s-6.3, SSz = 51, n = 14 90%: E SB₁≤ EEE 99%

The probability that Julien samples an equal number of real and fake gold coins from the random sample of four is approximately 0.463.

To calculate this probability, we can consider two cases: sampling from Treasure Chest A and sampling from Treasure Chest B.

For Treasure Chest A:

The probability of sampling an equal number of real and fake coins can be calculated using combinations. Out of the 15 gold coins in Treasure Chest A, 40% are real and 60% are fake. The probability of selecting 2 real and 2 fake coins can be calculated as (0.4^2) * (0.6^2) * (4 choose 2).

For Treasure Chest B:

The probability of sampling an equal number of real and fake coins can be calculated in a similar way. Out of the 8 gold coins in Treasure Chest B, 75% are real and 25% are fake. The probability of selecting 2 real and 2 fake coins can be calculated as (0.75^2) * (0.25^2) * (4 choose 2).

Finally, we can add the probabilities of the two cases together to get the overall probability is approximately 0.463.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

In a trapezoid, the left and right sides are parallel, and the top and bottom sides are non-parallel. The perimeter of the trapezoid is the sum of the lengths of all its sides. In this case, the length of each side is 4 meters, and the length of the top is 10 meters, while the length of the bottom is 15 meters.

Let's assume that the length of each side of the trapezoid is x meters.

To find the length of the top and bottom of the trapezoid, we can set up the following equations:

Perimeter = Length of Left Side + Length of Right Side + Length of Top + Length of Bottom

33 = x + x + (x + 6) + (x + 11)

Simplifying the equation, we have:

33 = 4x + 17

Subtracting 17 from both sides, we get:

4x = 16

Dividing both sides by 4, we find:

x = 4

Therefore, each side of the trapezoid has a length of 4 meters.

To find the length of the top and bottom, we substitute the value of x back into the equations:

Length of Top = x + 6 = 4 + 6 = 10 meters

Length of Bottom = x + 11 = 4 + 11 = 15 meters

So, the length of the top is 10 meters and the length of the bottom is 15 meters.

For more such questions on trapezoid , click on:

https://brainly.com/question/1410008

#SPJ8

The probability of rolling a sum of 8 when rolling two dice is 0.1389. (option a).

Probability is the measure of the likelihood of an event occurring. It is a value between 0 and 1, where 0 means that the event is impossible, and 1 means that the event is certain to happen. To calculate the probability of an event, we divide the number of ways the event can occur by the total number of possible outcomes.

Now, let's look at the problem at hand. When we roll two dice, there are 36 possible outcomes. This is because each die can land on any number from 1 to 6, and there are 6 possible outcomes for each die. To find the probability of rolling a sum of 8, we need to determine the number of outcomes that result in a sum of 8.

We can see that there are five outcomes that result in a sum of 8: (2,6), (3,5), (4,4), (5,3), and (6,2). Therefore, the probability of rolling a sum of 8 is 5/36, which is approximately 0.1389.

Hence the correct option ia (a).

To know more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer:

y = 4/5x + 1

Step-by-step explanation:

used points (0,1) and (5,5) to find slope of 4/5

The equation of the given sine graph is gotten as; y = 4 sin [(0.4(x + 2.5)] - 1

We know that the  general formula for equation of a sine graph is;

y = A sin [(B(x - D)] + C

where;

A is Amplitude

Period = 2π/B.

Phase Shift = -C/B.

Vertical Shift = D.

From the graph;

A = 4

B = 2π/5π = 2/5

C = -1

D = -5/2

Thus;

y = 4 sin [(0.4(x + 2.5)] - 1

Read more about sine graph at; https://brainly.com/question/16262155

#SPJ1

The missing length of the right triangle is found to be

For the given question;

The area of the right triangle is 112.7 cm².

The base of the right triangle is 16.1 cm.

The formula for finding the area of the triangle is-

Area = ¹/₂ base × height

Height = 2 area/ base

Put the values,

Height 'P' = 2 × 112.7 / 16.1

Height 'P' = 14

Thus, the missing side 'P' of the right triangle is found as 14 cm.

To know more about the right triangle, here

https://brainly.com/question/64787

#SPJ13

Answer:

$284.58

0.54 x 527 is 284.58

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

Learn more about Matlab code  here:

https://brainly.com/question/30763780

#SPJ4

Shape of the base: Rectangle,

Prism or Pyramid: Prism

How do you know: when the given information specifies that the shape of the base is a rectangle, it means that one base of the prism is in the shape of a rectangle. A rectangle is a type of quadrilateral with four right angles and opposite sides that are equal in length.

Name of the 3D Shape: Rectangular Prism

A prism is a type of 3D shape that has two parallel and congruent polygonal bases, and these bases are connected by rectangular faces that are perpendicular to the bases. The shape of the bases determines the overall shape of the prism.

So, when it is mentioned that the shape is a prism and the base is a rectangle, it means that the 3D shape being described has a rectangular base and the sides connecting the bases are perpendicular rectangles as well. This type of prism is called a rectangular prism, and it is a common shape used in many everyday objects, such as boxes, cuboids, and bricks.

Read more about Prism here:

https://brainly.com/question/23766958

#SPJ1

Answer: \(\frac{2}{3}\)

Step-by-step explanation:

The situation that represents a proportional relationship is " Renting a movie for $5 per day"

Proportional relationships are relationships between two variables where their ratios are equivalent.

For example, A student reads 5 novels per 2days is a statement that shows the relationship between the Novels read and the number of days. This means that 10 novels will be read in 4 days.

In general a proportion relationship should obey,

change in y/ change in x= constant. The constant is the slope.

Therefore the statement that best explain a proportional relationship is " Renting a movie for $5 per day"

learn more about proportional relationship from

https://brainly.com/question/12242745

#SPJ1

The probability that this applicant will not get the job is 0.40 or 40%.

If an applicant has a 60% chance of getting a certain job, then the probability of not getting the job can be calculated by subtracting the probability of getting the job from 1.

Probability of not getting the job = 1 - Probability of getting the job

Given that the applicant has a 60% chance of getting the job, the probability of getting the job is 0.60.

Therefore, the probability of not getting the job is:

Probability of not getting the job = 1 - 0.60 = 0.40

So, the probability that this applicant will not get the job is 0.40 or 40%.

This means that there is a 40% chance that the applicant will not be selected for the job based on the given information.

It is important to note that this probability assumes that the chance of getting the job and not getting the job are the only possible outcomes and that they are mutually exclusive (i.e., the applicant either gets the job or does not get the job).

For similar question on probability.

https://brainly.com/question/25870256  

#SPJ8

Answer:

14

Step-by-step explanation:

-4 |-5| = -20

-2(-17) = 34

34-20 = 14

The optimal number of gaming systems to manufacture per hour to minimize average cost is 340,000. The resulting average cost of a gaming system is $1,936.

To minimize the average cost, we need to find the derivative of the cost function and set it to zero.

C(x) = 1,152,000 + 340x + 0.0005x²

C'(x) = 340 + 0.001x

Setting C'(x) = 0, we get:

340 + 0.001x = 0

x = 340,000

Therefore, the optimal number of gaming systems to manufacture per hour to minimize average cost is 340,000.

To find the resulting average cost, we substitute x = 340,000 into the cost function:

C(340,000) = 1,152,000 + 340(340,000) + 0.0005(340,000)²

C(340,000) = 1,152,000 + 115,600,000 + 57,400

C(340,000) = 116,753,400

The resulting average cost of a gaming system is:

AC = C(340,000) / 340,000

AC = $1,936

If fewer than the optimal number of gaming systems are manufactured per hour, the marginal cost will be larger than the average cost at that lower production level. This is because the marginal cost represents the additional cost of producing one more unit, while the average cost is the total cost divided by the number of units produced.

Therefore, if fewer units are produced, the fixed costs will be spread over fewer units, increasing the average cost, while the marginal cost will still reflect the additional cost of producing one more unit.

For more questions like Costs click the link below:

https://brainly.com/question/31041508

#SPJ11

Answer:

\(x=-6\)

Step-by-step explanation:

\(-13+22=-3(x+3)\)

Switch sides:

\(-3\left(x+3\right)=-13+22\)

Solve the right side:

\(-3\left(x+3\right)=9\)

Divide both sides by -3:

\(\frac{-3\left(x+3\right)}{-3}=\frac{9}{-3}\)

\(x+3=-3\)

Subtract 3 from both sides:

\(x+3-3=-3-3\)

\(x=-6\)

Answer:

-6

Step-by-step explanation:

9=-3x-9  calculate 3x=-9-9. divide both sides 3x=-18

The probability they choose all democrats is 0.01805

From the question, we have the following parameters that can be used in our computation:

Republicans = 11

Democrats = 8

Number of selections = 4

If the selected people are all democrats, then we have

P = P(Democrats) * P(Democrats | Democrats) in 4 places

using the above as a guide, we have the following:

P = 8/19 * 7/18 * 6/17 * 5/16

Evaluate

P = 0.01805

Hence, the probability they choose all democrats is 0.01805

Read more about probability at

https://brainly.com/question/31649379

#SPJ1

A confidence interval cannot instantly lead to rejecting the null hypothesis in a hypothesis test. In the given case the null hypothesis is either rejected or rejected based on test statistics.

α = 0.05

μ = 2

If the confidence interval is 1.0 or 2.0, then the null hypothesis value of 2 drops exceeds the interval, this makes the data contradict the null hypothesis and may reject the null hypothesis.

This alone would not be good to decline the null theory - the conclusion to reject or not reject the null hypothesis is determined by the test statistic and the alternate p-value.

To learn more about Hypothesis

https://brainly.com/question/28920252

#SPJ4

Based on the explanation below, the conclusion that Elan is tired because Elan stayed up late is invalid.

In the question, it is stated that if Elan stays up late, he will be tired the next day.

However, staying up late is not the only thing that could make Elan get tired.

This implies that there are so many other things than can make Elan get tired such as working for long hours.

It is possible that Elan was tired because Elans worked long hours.

By implication, the conclusion is invalid.

Learn more about the conclusion here: https://brainly.com/question/15292067.

#SPJ1

Answer: 0.09

Step-by-step explanation:

Answer:

5A: All you got to do is put in the number of videos (v) and figure the equation out. For example,  40 x 20 + 3v = $803v.

I really hope this helps you!

To determine the number and type of solutions to the quadratic equation x^2 - x = -1/4, we can use the discriminant, which is the part of the quadratic formula that determines the number of solutions. The quadratic formula is:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

where a, b, and c are the coefficients of the quadratic equation. In this case, the coefficients of the equation are a = 1, b = -1, and c = -1/4. Plugging these values into the formula gives us:

x = (1 +/- sqrt(1^2 - 4(1)(-1/4))) / (2(1))

x = (1 +/- sqrt(1 + 1)) / 2

x = (1 +/- sqrt(2)) / 2

Therefore, the quadratic equation has two solutions: x = (1 + sqrt(2)) / 2 and x = (1 - sqrt(2)) / 2. These solutions are both real numbers.

Answer:

Step-by-step explanation:

All you need o divide 3,300 by 50

  3300

÷     50

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

66

so ever minute he would most likely type 66 words

The percentage error of Bob’s measurement is 3.87%

The percentage error is The difference between the estimated value and the actual value in relation to the actual value is given as a percentage. Analyst use this formula to determine how big is the error in a relation to true value.

Percentage error can be calculated by the given formula

percentage error=((Exprimental value-Actual value))/(Actual value)∙100

Here, given that

The experimental volume of liquid is 18.8 ml, and the actual volume of liquid is 18.1 ml

i.e. exprimental volume=18.8 mL

and, actual volume=18.1 mL

Now, we will calculate the percentage error

So,

percntage error=((18.8-18.1))/18.1∙100

percentage error=0.7/18.1∙100

percentage error=0.0387∙100

percentage error=3.87%

Hence,

       We got percentage error of 3.87% in measurement

To know more about percentage error and it’s example refer to:

https://brainly.com/question/28771046

#SPJ1

Answer:

always

Step-by-step explanation:

i got it right

The pole measures 500 centimeters.

We are required to perform unit conversion to find the answer. Conversion of unit requires the relating link between two units. While relating the two units, usually greater unit holds singular or unit value, which is 1. The smaller unit holds value greater than 1, but at equivalent level with first unit. So, as per the known fact, 1 meter is equal to 100 centimeters. Using this formula to find measurement of 5 meters in centimeters.

1 meter = 100 centimeters

5 meters = 100 × 5

Performing multiplication to find the measurement of pole in centimeters

5 meters = 500 centimeters

Therefore, the measurement of pole is 500 centimeters.  

Learn more about unit conversion -

https://brainly.com/question/6243489

#SPJ4

The probability that a cat would return to its food bowl between 32 and 37 times a day is approximately 0.589.

To find the probability that a cat would return to its food bowl between 32 and 37 times a day, we need to calculate the z-scores corresponding to these values and then find the area under the normal curve between these z-scores. Given: Mean (μ) = 34; Standard Deviation (σ) = 3. Step 1: Calculate the z-scores. For the lower value, 32: z₁ = (32 - 34) / 3 . For the higher value, 37: z₂ = (37 - 34) / 3. Calculating the z-scores: z₁ = -2 / 3 ≈ -0.67; z₂ = 1. Step 2: Calculate the probabilities. Now we need to find the area under the normal curve between these z-scores. This represents the probability that a cat would return to its food bowl between 32 and 37 times a day. Using a standard normal distribution table or calculator, we find the cumulative probabilities associated with the z-scores: P(Z ≤ -0.67) ≈ 0.2514; P(Z ≤ 1) ≈ 0.8413.

Step 3: Calculate the desired probability. To find the probability between the two values, we subtract the lower probability from the higher probability: P(32 ≤ X ≤ 37) = P(Z ≤ 1) - P(Z ≤ -0.67); P(32 ≤ X ≤ 37) ≈ 0.8413 - 0.2514; P(32 ≤ X ≤ 37) ≈ 0.5899. Therefore, the probability that a cat would return to its food bowl between 32 and 37 times a day is approximately 0.589.

To learn more about probability click here: brainly.com/question/31828911

#SPJ11

Answer:

40 square units

Step-by-step explanation:

Area of triangle = 1/2×b×h

= 1/2×10×8

= 40 square units