Please help I also need to round to the nearest tenth is necessary

The conditions for normality have been met for the sampling distribution of the difference in sample means of two populations of coins (pennies and quarters) where a random sample of 25 pennies was selected, and the mean age of the sample was 32 years, and a random sample of 35 quarters was taken, and the mean age of the sample was 19 years.

For each of the samples, the sample size is sufficiently large (n1 = 25, and n2 = 35), and we have no information about the population distribution. We can use the Central Limit Theorem to conclude that the sampling distribution of the difference in sample means is approximately normal.

Population standard deviation is known or the sample size is sufficiently large: We do not know the population standard deviation of the two populations. Therefore, we must ensure that the sample size of each group is large enough to justify using the Central Limit Theorem.

Both the sample sizes (25 and 35) are greater than 30. Therefore, the sample size is sufficiently large, and we can use the Central Limit Theorem to assume that the sampling distribution of the difference in sample means is approximately normal.

You can learn more about random samples at: brainly.com/question/30759604

#SPJ11

Answer:

5 m/ min

Step-by-step explanation:

speed = [tex]\frac{distance}{time}[/tex]

half an hour = 30 minutes, then

speed = [tex]\frac{150}{30}[/tex] = 5 m/ minute

Answer:

The price of the car is $12,000. The individual makes a down payment of 25%, so the loan amount is $9,000. The interest rate is 8% compounded monthly, so the monthly interest rate is 0.08/12 = 0.00667. The loan term is 48 months, so the number of payments is 48.

The monthly payment is calculated using the following formula:

Monthly payment = Loan amount * (Monthly interest rate) / (1 - (1 + Monthly interest rate) ^ (-Number of payments))

Monthly payment = $9,000 * (0.00667) / (1 - (1 + 0.00667) ^ (-48))

Monthly payment = $219.72

The total interest charges are calculated using the following formula:

Total interest charges = Total payments - Loan amount

Total interest charges = 48 * $219.72 - $9,000

Total interest charges = $1,510.72

Therefore, the correct answer is: c. R= $219.72; interest charges= $1,510.72.

Step-by-step explanation:

Answer:

(17/6) π   in metres

Step-by-step explanation:

360° in full circle.

circumference of full circle = π d (d is diameter)

= π (2r) = π (2 X 3) = 6π.

length of minor arc = (170/360) X 6π  = (17/6) π  (metres)

Answer:

Step-by-step explanation:

To find the scale factor, we can compare the corresponding sides of the two similar figures:

Scale factor = (length of corresponding side in larger figure) / (length of corresponding side in smaller figure)

Let's compare the first and fourth columns of numbers:

Scale factor = 12 / 12 = 1

Now let's compare the second and fifth columns:

Scale factor = 84 / 11 = 7.636363...

Since the two scale factors are different, we can say that the figures are not perfectly similar.

The probability of obtaining 3 candies or fewer that are red in a random sample of 13 candies depends on the probability of selecting a red candy and follows a binomial distribution.

To calculate the probability, we can use the binomial probability formula and sum up the probabilities for each possible outcome (0, 1, 2, and 3 red candies) using the appropriate values for the number of trials, the probability of success (selecting a red candy), and the desired number of successes (3 or fewer). The result will provide the probability that the sample contains 3 or fewer red candies.

The probability of obtaining 3 candies or fewer that are red in a random sample of 13 candies can be calculated using the binomial probability formula. In this case, we are interested in the probability of success (selecting a red candy) and the desired number of successes (3 or fewer red candies) out of a fixed number of trials (13 candies).

The binomial probability formula is given by P(X = k) = C(n, k) * p^k * (1 - p)^(n - k), where P(X = k) is the probability of getting exactly k successes, n is the number of trials, p is the probability of success, and C(n, k) is the binomial coefficient.

To calculate the probability, we need to consider the cases of obtaining 0, 1, 2, and 3 red candies. We can then sum up the probabilities for each case.

For example, if the probability of selecting a red candy is p = 0.4, we can calculate the probabilities for 0, 1, 2, and 3 red candies using the formula and sum them up to find the overall probability.

Learn more about Binomial Probabilities here: brainly.com/question/12474772

#SPJ11

Answer:

YOUR ANSWER IS 0.139626

Step-by-step explanation:

HAVE A NICE DAY.

The probability that the first two marbles will be red and the third one will be blue is 35/2448

The probability of picking a red marble on the first draw is 5/18, and given that the first marble was red, the probability of picking another red marble on the second draw is 4/17 (since there are now only 4 red marbles left out of 17 total marbles).

Finally, given that the first two marbles were red, the probability of picking a blue marble on the third draw is 7/16 (since there are now 7 blue marbles left out of 16 total marbles).

To find the overall probability of this sequence of events, we multiply the probabilities of each individual event.

Therefore, the probability of picking two red marbles and one blue marble in this specific order is:

(5/18) × (4/17)× (7/16)

= 0.0285

Therefore, the probability of this specific sequence of events is 0.0285

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

It would take the scrap piece of lumber approximately 2.75 seconds to reach the ground 121 feet below.

To determine how long it would take for a scrap piece of lumber tossed from the roof of a building to reach the ground 121 feet below, we would use the following formula:

d = 16t²,

where d is the distance in feet and t is the time in seconds.

To use the formula, we would first need to determine the value of d, which is 121 feet. We can then plug this value into the formula to get:

121 = 16t²

To solve for t, we need to isolate the variable t by dividing both sides of the equation by 16:

121/16 = t²

7.56 = t²

We can then take the square root of both sides of the equation to find the value of t:

t = √7.56t ≈ 2.75

You can learn more about variables at: brainly.com/question/15078630

#SPJ11

The standard deviation of the weights of the packed boxes is 2.02 pounds.

To find the standard deviation of the weights of the packed boxes, we need to use the formula for the standard deviation of a sum of random variables.

We know that the mean weight of books packed per box is 25 pounds, and the mean weight of the boxes is one pound.

Therefore, the mean weight of the packed boxes is 26 pounds. The standard deviation of the weights of the books is two pounds, and the standard deviation of the weights of the boxes is 0.15 pounds.

Using the formula for the standard deviation of a sum of random variables, we can calculate the standard deviation of the weights of the packed boxes to be 2.02 pounds.

We also know that the mean weight of the packing material used per box is two pounds, with a standard deviation of 0.25 pounds.

However, since this is a constant weight and not a random variable, it does not affect the standard deviation of the weights of the packed boxes.

Learn more about Standard Deviation here: brainly.com/question/29115611

#SPJ11

To find the value of x for which the two equations give the same value for y, we can set the expressions for y in both equations equal to each other and solve for x.

Given:

Equation 1: y = 3x + 6

Equation 2: 6x + 2y = 8

Substitute the expression for y from Equation 1 into Equation 2:

6x + 2(3x + 6) = 8

Simplify and solve for x:

6x + 6x + 12 = 8

12x + 12 = 8

12x = 8 - 12

12x = -4

x = -4/12

x = -1/3

Therefore, when x = -1/3, the two equations will have the same value for y.

Learn more about value of x here: brainly.com/question/20703370?

#SPJ11

There is a theoretical probability of approximately 26.2% that at least one of the 27 students in the group has the H1N1 influenza virus.

To calculate the theoretical probability that at least one of the 27 students has the H1N1 influenza virus, we can use the complement rule. The complement of the event "none of the 27 students have the H1N1 influenza virus" is the event "at least one of the 27 students has the H1N1 influenza virus."

The probability that a student does not have the H1N1 influenza virus is 1 - 0.01 = 0.99. Since the students are selected independently, the probability that none of the 27 students have the virus is (0.99)^27.

Using the complement rule, the probability that at least one of the 27 students has the H1N1 influenza virus is:

1 - (0.99)^27 ≈ 0.262

Expressed as a percentage with 3 decimal places, the theoretical probability is approximately 26.2%.

Know more about theoretical probability here:

https://brainly.com/question/30604977

#SPJ11

Answer:

15 = 3 × 5

40 = 2 × 2 × 2 × 5

100 = 2 × 2 × 5 × 5

LCM of 15, 40, and 100:

2 × 2 × 2 × 3 × 5 × 5 = 600

The three signals will beep at the same time every 600 seconds (10 minutes). So in one hour (60 minutes), the three signals will beep at the same time 6 times.

The sample size of 300 people is large enough to apply the Central Limit Theorem.

The Central Limit Theorem (CLT) states that for a random sample of independent and identically distributed (i.i.d.) variables with a finite population mean and standard deviation, as the sample size increases, the distribution of the sample means approaches a normal distribution, regardless of the shape of the population distribution.

In this case, we are interested in the percentage of people in the sample who are infected with COVID-19. The sample size of 300 people is sufficiently large for the CLT to be applicable. Since the sample is randomly selected and the individuals in the sample are assumed to be independent, we can expect the distribution of the sample proportion (percentage) of infected individuals to be approximately normal.

To compute the probability that the percentage of infected individuals is between 4% and 6%, we can use the normal distribution approximation.

We need to calculate the z-scores corresponding to the lower and upper bounds (4% and 6%) and then find the area under the normal curve between those z-scores.

To know more about probability, refer here:

https://brainly.com/question/32004014#

#SPJ4

For the lengths of the triangle, what is true and false is;

1.  YES  2. NO  3. YES  4. YES  5. NO  6. NO  7. NO  8. YES  9. YES

10. YES (if x, y > 0 and the sum of any two sides is greater than the third side)

To determine if a set of three side lengths can form a triangle, they have to fulfil the Triangle Inequality Theorem.

The theorem says that the sum of the lengths of any two sides must be greater than the length of the remaining side.

a. 12, 11, 10

11+10 > 12, 12+10 > 11, and 12+11 > 10

b. 3, 7, 10

3+7 > 10, but 3+10 < 7 and 7+10 < 3.

c. 2+3 > 4, 2+4 > 3, and 3+4 > 2.

d. 4, 6, 7

4+6 > 7, 4+7 > 6, and 6+7 > 4

e. 3, 2, 1

3+2 > 1, but 3+1 < 2 and 2+1 < 3

Find more exercises on lengths of triangle;

https://brainly.com/question/29609563

#SPJ1

The equetion y = 9 and y = - 12 both are horizontal line that drawn at 9 unit above the origine and 12 unit below the origine respectively . So they are horizontal line which are parallel .

The equetion y = 9 and y = - 12 both are horizontal line that drawn at 9 unit above the origine and 12 unit below the origine respectively . So they are horizontal line which are parallel .And for the 2nd one all the choice are correct . but as we said before they are horizontal line that dawn passing through y-axis . So the 1st one is correct which is "ALL HORIZONTAL LINE ARE PARALLEL" .

Answer:The correct answer is: The 5th caller and the 16th caller are eligible for the prizes.

Step-by-step explanation:

The correct answer is: The 5th caller and the 16th caller are eligible for the prizes.

To find the eligible callers, we need to solve the absolute value equation:

|x - 111| = 5

This equation has two solutions:

x - 111 = 5 or x - 111 = -5

Solving for x in each case, we get:

x = 116 or x = 106

Therefore, the 5th caller is the one who calls in the 106th position, and the 16th caller is the one who calls in the 116th position.

Answer: The 6th caller and the 16th caller are eligible for the prizes.

Step-by-step explanation: correct for plato

Answer:

10 units to the left

Step-by-step explanation:

The x=value is moving 10 units to the left.

The given statement "The standard deviation can be negative" is false.

The standard deviation is a measure of dispersion or variability in a dataset. It represents the average amount of deviation or spread of the data points from the mean. By definition, the standard deviation is always a non-negative value or zero. It cannot be negative because it measures the distance of each data point from the mean, which is always a positive value.

Know more about standard deviation here:

https://brainly.com/question/29115611

#SPJ11

To answer this question, we need to use a little bit of algebra. Let's call the original price of the e-book reader "x." We know that Jacob paid 80% of this price, or 0.8x. We also know that this price was $120. So we can set up an equation:
0.8x = 120. So, the original price of the portable e-book reader was $150.

To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides by 0.8:
x = 150
So the original price of the e-book reader was $150.
In terms of length, this answer is more than 100 words. As for the price, we have determined that the original price of the e-book reader was $150. Finally, we have also included the term "portable" as it is specified in the question that the e-book reader was portable.
To solve this problem, we'll use the concept of percentages. Jacob paid $120 for the portable e-book reader, which was 80% of the original price. Let's represent the original price as "x." We can set up the equation:
80% of x = $120
0.8x = $120
Now, we'll solve for "x" by dividing both sides of the equation by 0.8:
x = $120 / 0.8
x = $150
So, the original price of the portable e-book reader was $150.

To know more about Price visit:

https://brainly.com/question/14871199

#SPJ11

Answer:

w=-4.5

Step-by-step explanation:

12÷3/8=4.5

-w= 4.5

w= -4.5

To solve the equation -3/8 w = 12 for w, you need to isolate w. You do this by dividing both sides by -3/8 which is equivalent to multiplying by -8/3 (the reciprocal). This gives w = -32.

To solve the given equation -3/8 w = 12 for w, we need to isolate w on one side of the equation. To do this, you can divide both sides of the equation by -3/8. In mathematics, dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of -3/8 is -8/3. So, when you multiply both sides of the equation by -8/3 you get:

w = 12 * (-8/3)

Simplify this further to get: w = -32

https://brainly.com/question/18262581

#SPJ2

The product of z1 and z2 is 81/2 + 27i*sqrt(6)/2 by using trigonometric identities.

To find the product of z1 and z2, we can use the formula for multiplying complex numbers:
z1 * z2 = (18*cos225 + 18i*sin225) * (3*cos240 + 3i*sin240)
Using trigonometric identities, we can simplify this expression:
z1 * z2 = 54*cos225*cos240 + 54i*sin225*cos240 + 54i*cos225*sin240 + 54*sin225*sin240
Now we can use the values of cosine and sine for 225 and 240 degrees:
cos225 = -sqrt(2)/2, sin225 = -sqrt(2)/2
cos240 = -sqrt(3)/2, sin240 = -1/2
Substituting these values, we get:
z1 * z2 = 54*(-sqrt(2)/2)*(-sqrt(3)/2) + 54i*(-sqrt(2)/2)*(-1/2) + 54i*(-sqrt(3)/2)*(-sqrt(2)/2) + 54*(-sqrt(2)/2)*(-1/2)
Simplifying this expression, we get:
z1 * z2 = 81/2 + 27i*sqrt(6)/2
Therefore, the product of z1 and z2 is 81/2 + 27i*sqrt(6)/2.

For more such questions on product , Visit:

https://brainly.com/question/30284183

#SPJ11

Answer:

x=10

Step-by-step explanation:

Angles labeled are alternate interior, meaning they are congruent. So, set the angles equal to each other to get 3x+10=5x-10.

Solve.

2x=20

x=10

The solution to the systems of inequalities graphically is shaded S

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

2x + 3y < 9

2y ≥ 4x + 6

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

This region is labelled S

Read more about inequalities at

https://brainly.com/question/30977554

#SPJ1

Answer: YES, She is correct

Answer:

B. No. Both a and b are incorrect.

Step-by-step explanation:

The z-score for of a patient's systolic blood pressure measured at 84  is -1

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

Sample = 500 individuals

Standard deviation = 16

Mean = 110

Measurement = 84

The z-score for this measurement is calculated as

z = (Measurement -Mean)/Standard deviation

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

z = (84 -110)/16

Evaluate

z = -1

Hence, the z-score for this measurement is -1

Read more about z-score at

https://brainly.com/question/25638875

#SPJ1

To find the product of the mode and median of the set 8,3,1,7,3,4,8,3,4,9,5, we first need to find the mode and median of the set.

The mode is the number that appears most frequently in a data set. In this case, the number 3 appears three times in the set, which is more than any other number. So the mode of this set is 3.

The median is the middle value when a data set is ordered from least to greatest. To find the median, we first need to put the numbers in order: 1,3,3,3,4,4,5,7,8,8,9. Since there are an odd number of numbers in the set (11), the median is the middle number. In this case, the median is 4.

So the product of the mode and median of this set is 3 * 4 = 12.

Answer:

med = 3

mode = 4

product of mode and median = 12

Step-by-step explanation:

1) Rearrange terms 1,3,3,3,4,4,5,7,8,9

2) Multiply terms 4 x 3 = 12

To answer your question, Hailey is using the distributive property to simplify the calculation of 7(18). The distributive property allows us to break up a multiplication problem into smaller, more manageable parts.

Hailey has rewritten 18 as 10 + 8, and she will now use the distributive property to calculate 7 times each of these two numbers separately.
So, the two products that Hailey will add together to get the final product are 7 times 10 (which is 70) and 7 times 8 (which is 56).
To check her work, she can add these two products together:
70 + 56 = 126
So, using the distributive property and breaking up 18 into 10 and 8, Hailey can mentally compute the product of 7(18) as 126.
To know more about Distributive visit:

https://brainly.com/question/5500194

#SPJ11