Consider the expression below. Assume the variable m represents an integer. 6m(3m + 21) Enter an expression in the box that uses the variable m and makes the equation true. (Simplify your answer completely. If no expression exists, enter DNE.) 6m(3m + 21) = 9 Given that m represents an integer, is 6m(3m + 21) divisible by 9?

Answer:

all you did multiply it

Step-by-step explanation:

Answer:

$5.00

Step-by-step explanation:

There are 2 pints per quart. This means that there are 4/2 quarts of yogurt. 2 quarts of yogurt cost $10.00, so one quart costs 10/2=$5.00

Answer:

1.25

Step-by-step explanation:

math

Answer:

a) Standard Error of the mean = $980

b) Probability that the sample mean will be more than $25,050 = 0.50

c) Probability that the sample mean will be within $1,250 of the population mean = 0.7995

d) Probability that the sample mean will be within $1,250 of the population mean if the sample size is increased to 200 = 0.9692

Step-by-step explanation:

Complete Question

According to U.S. News & World Report's publication America's Best Colleges, the average cost to attend the University of Southern California (USC) after deducting grants based on need is $25,050. Assume the population standard deviation is $8,200 . Suppose that a random sample of 70 USC students will be taken from this population. Use z-table.

a. What is the value of the standard error of the mean? (to nearest whole number)

b. What is the probability that the sample mean will be more than $25,050 ? (to 2 decimals)

c. What is the probability that the sample mean will be within $1,250 of the population mean? (to 4 decimals)

d. How would the probability in part (c) change if the sample size were increased to 200 ? (to 4 decimals)

Solution

According to the Central limit theorem, for a normally distributed distribution where a random sample of large enough sample size with each variable independent of one another, the mean of the sampling distribution is approximately equal to the population mean and the standard deviation of the sampling distribution or the standard error of the mean (σₓ) is given as

σₓ = (σ/√n)

where σ = population standard deviation = $8,200

n = sample size = 70

Mean of sampling distribution (μₓ) = Population mean (μ) = $25,050

a) Standard Error of the mean = σₓ

= (8200/√70) = 980.09 = $980 to nearest whole number

b) Probability that the sample mean will be more than $25,050 = P(x > 25050)

We first normalize or standardize $25;050

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μₓ)/σₓ = (25050 - 25050)/980 = 0

To determine the required probability 45mg/L, P(x > 25050) = P(z > 0)

We'll use data from the normal probability table for these probabilities

P(x > 25050) = P(z > 0) = 1 - P(z ≤ 0) = 1 - 0.50 = 0.50

c) The probability that the sample mean will be within $1,250 of the population mean

(mean of sampling distribution) + 1250 = 25050 + 1250 = $26,300

(mean of sampling distribution) - 1250 = 25050 - 1250 = $23,800

Probability that the sample mean will be within $1,250 of the population mean

= P(23800 ≤ x ≤ 26300)

We first normalize $23,800 and $26,300

For $23,800

z = (x - μₓ)/σₓ = (23800 - 25050)/980 = -1.28

For $26,300

z = (x - μₓ)/σₓ = (26300 - 25050)/980 = 1.28

The required probability

P(23800 ≤ x ≤ 26300) = P(-1.28 ≤ x ≤ 1.28)

We'll use data from the normal distribution table for these probabilities

P(23800 ≤ x ≤ 26300) = P(-1.28 ≤ x ≤ 1.28)

= P(z ≤ 1.28) - P(z ≤ -1.28)

= 0.89973 - 0.10027

= 0.79946 = 0.7995 to 4 d.p

d) How would the probability in part (c) change if the sample size were increased to 200?

If the sample size increase to 200, the standard deviation of the sampling distribution or standard error of the mean changes to

σₓ = (σ/√n)

where σ = population standard deviation = $8,200

n = sample size = 200

Standard Error of the mean = σₓ

= (8200/√200) = 579.83 = $580 to nearest whole number

Probability that the sample mean will be within $1,250 of the population mean

= P(23800 ≤ x ≤ 26300)

We first normalize $23,800 and $26,300

For $23,800

z = (x - μₓ)/σₓ = (23800 - 25050)/580 = -2.16

For $26,300

z = (x - μₓ)/σₓ = (26300 - 25050)/980 = 2.16

The required probability

P(23800 ≤ x ≤ 26300) = P(-2.16 ≤ x ≤ 2.16)

We'll use data from the normal distribution table for these probabilities

P(23800 ≤ x ≤ 26300) = P(-2.16 ≤ x ≤ 2.16)

= P(z ≤ 2.16) - P(z ≤ -2.16)

= 0.98461 - 0.01539

= 0.96922 = 0.9692 to 4 d.p

Hope this Helps!!!

a) The customs duty on the car would be $1,350,000.

b) The imported price of the bus would be $858,000.

(a) To calculate the customs duty on a car with an imported price of $3,000,000, we can multiply the imported price by the duty rate of 45%:

Customs duty = $3,000,000 * 0.45 = $1,350,000.

(b) To calculate the imported price of a bus if the amount paid, including customs duty, is $1,560,000, we need to determine the portion of the total amount that represents the customs duty. Since the customs duty is 45% of the imported price, we can set up the following equation:

Customs duty = $1,560,000 * 0.45.

Solving for the customs duty:

Customs duty = $702,000.

Now, we can subtract the customs duty from the total amount to find the imported price:

Imported price = $1,560,000 - $702,000 = $858,000.

In summary, the customs duty on a car with an imported price of $3,000,000 would be $1,350,000. On the other hand, if the amount paid for a bus, including customs duty, is $1,560,000, the imported price of the bus would be $858,000.

for more such questions on equation

https://brainly.com/question/22688504

#SPJ8

Answer:

132ft/s

Step-by-step explanation:

90mi/hr =  ________ft/s            1hr = 3600s

                                                    1 mi =  5280ft

90mi/hr  x  5280ft/mi    x   1hr/3600s   =   132ft/s   (after cancelling units)

Answer:

0.8, 0.875, 0.89 or 4/5, 7/8, 0.89

Step-by-step explanation:7/8 is the same as 7 divided by 8 which equals to 0.875.

4/5 is the same as 4 divided by 5 which is 0.8.

Shortest to Longest

0.875

0.89

0.8

reformed into

1. 0.8

2. 0.875

3. 0.89

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

For more such questions on length

https://brainly.com/question/2217700

#SPJ8

Answer:

\(z=\frac{46300-50000}{\frac{9800}{\sqrt{28}}}=-1.998\)  

Now we can calculate the p value using the alternative hypothesis with this probability:

\(p_v =P(z<-1.998)=0.0229\)  

The p value for this case is significantly lower than the value of \(\alpha=0.05\) so then we can reject the null hypothesis at this signficance level and we have enough evidence to conclude that the true mean for the deluxe tire is less than 50000 and the claim is not correct.

Step-by-step explanation:

Information given

\(\bar X=46300\) represent the sample mean for the lifespans

\(\sigma=9800\) represent the population standard deviation

\(n=28\) sample size  

\(\mu_o =50000\) represent the value to verify

\(\alpha=0.05\) represent the significance level

z would represent the statistic    

\(p_v\) represent the p value

System of hypothesis

The idea for this case is verify if the deluxe tire averages at least 50,000, so then the system of hypothesis are:

Null hypothesis:\(\mu \geq 50000\)  

Alternative hypothesis:\(\mu < 50000\)  

We know the population deviation so then the correct test stattistic would be:

\(z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}\) (1)  

Replacing the info given we got:

\(z=\frac{46300-50000}{\frac{9800}{\sqrt{28}}}=-1.998\)  

Now we can calculate the p value using the alternative hypothesis with this probability:

\(p_v =P(z<-1.998)=0.0229\)  

The p value for this case is significantly lower than the value of \(\alpha=0.05\) so then we can reject the null hypothesis at this signficance level and we have enough evidence to conclude that the true mean for the deluxe tire is less than 50000 and the claim is not correct.

Answer:

y=6-3x

Step-by-step explanation:It should be that but im not 100% sure

Answer:

Step-by-step explanation:

The standard deviation of the sampling distribution of sample means is given by the formula:

standard deviation = population standard deviation / sqrt(sample size)

Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:

standard deviation = 0.8 / sqrt(38)

standard deviation ≈ 0.13

Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.

Answer:

3.76 is 8% of 47

Step-by-step explanation:

1. We assume, that the number 47 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 47, so we can write it down as 100%=47.

4. We know, that x% equals 3.76 of the output value, so we can write it down as x%=3.76.

5. Now we have two simple equations:

1) 100%=47

2) x%=3.76

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=47/3.76

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.76 is what percent of 47

100%/x%=47/3.76

(100/x)*x=(47/3.76)*x       - we multiply both sides of the equation by x

100=12.5*x       - we divide both sides of the equation by (12.5) to get x

100/12.5=x

8=x

x=8

now we have:

3.76 is 8% of 47

By adding  the monthly finance charge to the unpaid balance, the new account balance is $4,056.91.

What is addition?

Addition is a mathematical operation that involves combining two or more numbers to produce a sum or total. It is commonly denoted by the plus sign (+) and is one of the four basic arithmetic operations.

To find the new account balance, we need to add the monthly finance charge to the unpaid balance.

First, we need to calculate the monthly finance charge:

Monthly finance charge = 1.75% of unpaid balance

= 0.0175 * $3,987.11

= $69.80

Next, we add the monthly finance charge to the unpaid balance:

New account balance = Unpaid balance + Monthly finance charge

= $3,987.11 + $69.80

= $4,056.91

Therefore, the new account balance is $4,056.91.

To learn more about addition visit:

https://brainly.com/question/24536701

#SPJ1

Answer:

Step-by-step explanation:

Let us consider a data of prevalent diseases.

If the false positive rate is P(Test + | N) = 0.04

Therefore, sensitivity is defined as the probability of a positive test result given the presence of the disease. This can be written as: P (positive test | disease present).

Specificity is defined as the probability of a negative test result given absence of disease, that is, P (negativetest | diseaseabsent). PPV is defined as the probability of the presence of disease given a positive test result, ie, P (disease present | positivetest).

Answer:

The First one

Step-by-step explanation:

hopefully that comment helps

Answer:

Step-by-step explanation:

The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.

The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.

To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:

(1/3) x (1/10) = 1/30

So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%

Answer:

If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

42 is 2 x 3 x 7

81 is 3 x 3 x 3 x 3

3 is the greatest common factor

Answer:

3

Step-by-step explanation:

3 is the greatest common factor of 42 and 81

Answer:

25

Step-by-step explanation:

300 divided by 12 equals 25

Answer:

how sweet thx

Step-by-step explanation:

Answer:

983040

Step-by-step explanation:

Second Year : 15x4=60

Third Year : 60x4=240

Fourth Year : 240x4=960

Fifth Year : 960x4=3840

Sixth Year : 3840x4=15360

Seventh Year : 15360x4 = 61440

Eighth Year: 61440x4=245760

Ninth Year : 245760x4= 983040

Answer:

C.

Step-by-step explanation:

When two lines are parallel, their slopes are the same.

Since the slope of line l is 2/7, the slope of its parallel line m must also be 2/7.

The answer is C.

Answer:

C. 2/7

Step-by-step explanation:

Parallel lines are lines that have the same slopes.

We know that line l is parallel to line m.

Therefore, the slope of line l is equal to the slope of line m.

\(m_{l} =m_{m}\)

We know that line l has a slope of 2/7.

\(\frac{2}{7} =m_{m}\)

So, line m also has a slope of 2/7. The answer is C. 2/7

Answer:

1/4

Step-by-step explanation:

First you add all of the marbles in the bag which is 16 marbles.  The fraction of red marbles to the total would be 4/16.  In the simplest form that is 1/4. You can also just do 4 divide by 16 which gives you 0.25 and in decimal form that is 1/4.

Answer: 0. 327

Step-by-step explanation:

I just used a demos calculator I suggest using demos scientific calculator.

Answer:

  (b)  y -5 = 3/4(x -6)

Step-by-step explanation:

The point-slope form of the equation for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

Your graph has two points marked: (-2, -1) and (6, 5). Even if you don't know the slope, these tell you the form of the equation will be ...

  y +1 = m(x +2) . . . . no match

  y -5 = m(x -6) . . . . matches choice B

__

If you like, you can figure out the slope to be ...

  m = (y2 -y1)/(x2 -x1)

  m = (5 -(-1))/(6 -(-2)) = 6/8 = 3/4

All the answer choices agree that this is the slope of the line.

The value of the missing angle is \(34.1^{o}\). Option C.

Trigonometric functions are a set of functions which can be used to determine the value of an unknown side or angle of a given right triangle.

To determine the missing angles, we have;

sin x = opposite/ hypotenuse

        = 14/ 25

sin x = 0.56

x = sin^-1 0.56

  = 34.0558

x = \(34.1^{o}\)

The value of the missing angle is \(34.1^{o}\). Option C.

Learn more about trigonometric functions at https://brainly.com/question/15068258

#SPJ1

Answer:

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

The cosine function has a period of 360°, we can subtract 360° from 375° to find the co-terminal angle:

Now, we can find the exact value of cos(15°) using the angle addition formula for cosine:

The exact value of cos(375°) is (√6 + √2) / 4.