45% of the enrolment in a class is 18. Find the enrolment of the class.​

Given: A randomly selected person chose 'Kayo' as their favorite streaming brand.

Required: To determine the probability that she is a female.

Explanation: Since there are two possibilities, i.e., a person can be a male or a female. Thus, n(S)=2.

Now, if E is the event that the person chosen is a female. The probability is-

Final Answer: The probability that the person is female is 0.5

Answer:  Portfolio 1:

Tech Company Stock: $2,800 * 2.95% = $82.60

Government Bond: $3,200 * 4.56% = $145.92

Total return for Portfolio 1 = $82.60 + $145.92 = $228.52

Portfolio 2:

Junk Bond: $950 * (-3.75%) = -$35.63

Common Stock: $1,500 * 7.18% = $107.70

Total return for Portfolio 2 = -$35.63 + $107.70 = $72.07

From the calculations, we can see that Portfolio 1 earns $228.52 in returns, while Portfolio 2 earns $72.07. Therefore, Portfolio 1 earns $228.52 - $72.07 = $156.45 more than Portfolio 2.

Step-by-step explanation:

Based on the statistical analysis, there is not enough evidence to conclude that the water from the new source contains unsafe levels of copper at the 0.05 significance level.

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves applying mathematical and statistical techniques to extract meaningful insights from data, and to make decisions and predictions based on this information. Statistics is used in a wide range of fields, including business, economics, social sciences, health sciences, engineering, and more. It helps researchers, analysts, and decision-makers to identify patterns, relationships, and trends in data, and to draw conclusions based on statistical evidence.

(a) To test whether the water from this source contains unsafe levels of copper, we need to perform a one-sample t-test with the null hypothesis that the mean copper content in the water is less than or equal to 1.3 mg/l and the alternative hypothesis that the mean copper content in the water is greater than 1.3 mg/l.

The test statistic is calculated as:

t = (x - μ) / (s / √n)

where x is the sample mean (1.36 mg/l), μ is the hypothesized population mean (1.3 mg/l), s is the sample standard deviation (0.18 mg/l), and n is the sample size (30).

Plugging in the values, we get:

t = (1.36 - 1.3) / (0.18 / √30) = 1.47

The degrees of freedom for this test is n - 1 = 29.

Using a t-table or calculator, we find the p-value associated with a t-statistic of 1.47 and 29 degrees of freedom to be approximately 0.076.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, there is not enough evidence at the 0.05 level to conclude that the water from this source contains unsafe levels of copper.

Conditions for Independence: It is assumed that the water samples are independent of each other. This is because the sample is randomly selected and the size is less than 10% of the population. Also, it is assumed that the copper content in one water sample does not affect the copper content in another water sample.

Conditions for Normality: It is assumed that the distribution of the copper content in the population is approximately normal. We can justify this assumption based on the central limit theorem, which states that the distribution of the sample mean approaches normality as the sample size increases. Since the sample size is 30, we can assume that the sample mean follows a normal distribution. We can also check the normality assumption by creating a histogram or a normal probability plot of the data.

Therefore, based on the statistical analysis, there is not enough evidence to conclude that the water from the new source contains unsafe levels of copper at the 0.05 significance level.

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Answer:

F(-x) = 0

Step-by-step explanation:

What is F(-x)?

F(-x) = F(-1)

F(x) = x³ + 1                              F(-1)

F(-1) = -1³ + 1

F(-1) = -1 + 1

F(-1) = 0

So, F(-x) = 0

Answer:

f(-1) = 0

Step-by-step explanation:

Evaluating a function for f(-x) is the same as evaluating it for f(-1).

So we plug in -1 instead.

f(-1) = x³ + 1  

      = (-1)³ + 1 (here we cube -1)

      = -1 + 1     (here we subtract)

      = 0           (and, this is the answer)

\(\therefore\) The answer is f(-1) = 0

Answer:

15/8 or 1 7/8

Step-by-step explanation:

Multiply the numerator by the number of workbooks (5)

You get 15/8.

Simplify

The length of 5 workbooks is 7 1/8 inch.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Thickness of workbook = 3/8 inch

Total workbooks = 5

So, the thickness of 5 workbooks

=5* 3/8

=15/8

=7 1/8 inch

Hence, the thickness of 5 workbooks is 7 1/8 inch.

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the answer is in the picture.

Answer:

PQ = 6

Step-by-step explanation:

Using tangent-secant theorem,

(PQ)² = (PR)(PS)

(PQ)² = (4)(9)

(PQ)² = 36

Taking square root on both sides, we get

PQ = 6

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

By means of trigonometric functions and trigonometric formulas, the trigonometric equation sec α · (1 - cos² 2α) is equivalent to 4 · cos α - 4 · cos³ α.

In this problem we find the case of a trigonometric equation that must be simplified by definitions of trigonometric functions and trigonometric formulas. First, write the trigonometric equation:

sec α · (1 - cos² 2α)

Second, use the fundamental trigonometric formula:

sec α · sin² 2α

Third, use the definition of secant and the formula for the sine of the double angle:

(1 / cos α) · (2 · sin α · cos α)²

4 · sin² α · cos α

Fourth, use the fundamental trigonometric formula:

4 · (1 - cos² α) · cos α

4 · cos α - 4 · cos³ α

None of the options given are equivalent to the trigonometric equation.

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Oliver's number is bigger than that of Chen.

It is a number equal to 10 times 10.

Given is that Oliver and Chen both write down a number. Oliver says, my number has 8 hundreds and Chen's number only has 3 hundreds, my number must be bigger.

Oliver number can be written as follows -

8 x 10 x 10

Chens number can be written as follows -

3 x 10 x 10

It can be concluded that Oliver's number is bigger than that of Chen.

Therefore, Oliver's number is bigger than that of Chen.

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Hope this answer helps you....

I accidently answered this I'm sorry!!  Is there a way 2 delete my answer?

Answer:

\(y=-x+1\)

Step-by-step explanation:

It helps to write the equation in slope-intercept formula to find the slope of an equation in the form: \(y=mx+b\) where "m" is the slope of the equation. We can take the equation given: \(-7x-7y=7\) and solve for "y" to get the equation in slope-intercept form:

\(-7x-7y=7\)

add 7x to both sides:

\(-7y=7x+7\)

Divide both sides by -7

\(y=-x-1\)

Now in this form we can tell that the coefficient of "x" (the m value) is our slope, which is -1. We need this slope to determine a parallel line as parallel lines share the same slope but different y-intercepts. So a general equation for a parallel line would be:

\(y=-x+b\text{ where b }\ne -1\)

We're given the point (-1, 2) and we can use it to solve for that "b" value.

We plug in -1 as x and 2 as y

\(2=-1(-1)+b\implies 2=1+b\implies 1=b\)

Now we just plug this into the general equation to get: \(y=-x+1\)

Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

Converting y - 3x = 4x to slope-intercept form:

(y - 3x = 4x) + 3x

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

We can show this in the following formula:

m2 = -1 / m1, where

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

-1 (y = 7x)

-y = -7x

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

    -y = -7x

+

    y = -4x + 3

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

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

Answer:

8m=10m

Step-by-step explanation:

The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.

After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.

However, Caesar, true to his word, had the pirates crucified on his own authority.

This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

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a) The computation of the quality-control overhead cost to be assigned by Trendy Toys to the toddler toy line for August:

1) Using the traditional product costing system is $76,130 ($331,000 x 23%).

2) Using the activity-based costing system is $61,280 (42,000 x $0.80 + 163,000 x $0.16 + 800 x $2.00).

= ($33,600 + $26,080 + $1,600)

b) The traditional product costing system overcasts the overhead by $14,850 ($76,130 - $61,280) when compared with the activity-based system.

c) The classification of the activities as value-added or non-value-added is as follows:

Materials Inspection           Non-value added

Assembly Line Inspection  Non-value added

National Toy Association   Non-value added

A non-value-added activity is a production activity that does not increase the value of the product or service delivered to the customer.

Examples of non-value-added production activities undertaken by Trendy Toys are materials inspection, assembly-line inspection, and payment for the National Toy Association Certification.

d) Under the new proposal, the overhead cost assigned to the toddler toy line for August using activity-based costing is $60,450.

= $60,450 (42,000 x $0.80 + 163,000 x $0.15 + 800 x $3.00)

= $60,450 ($33,600 + $24,450 + $2,400)

e) Trendy Toys should accept the offer from National Toy Association because it reduces its overhead cost by $830 ($61,280 - $60,450).

Quality control overhead costs rate = 23% of direct labor cost

Direct labor cost for August = $331,000

Activity Cost Pools      Cost Drivers         Overhead      Number of Cost

                                                                       Rate               Drivers Used

                                                                                               per Activity

Materials Inspection  Number of pounds $0.80 per pound 42,000pounds

Assembly Line           Inspection Number $0.16 per toy      163,000 toys

                                  of finished toys

National Toy              Retail orders           $2.00 per order        800 orders

Association

Certification

Thus, by accepting the National Toy Association's offer, Trendy Toys' overhead cost will be reduced by $830 under the activity-based costing system.

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This would be stimulus-response conditioning.

There is an experiment called the Pavlov's experiment, in it was proved that repeated exposure to a given stimulus gives a specific behavior being repeated. This is repetition conditioning. An example of this can be that when some one rings a bell, the dog starts salivating. (not exactly our case)

Subliminal conditioning is the conditioning of attitudes by exposure to stimuli that are below the "threshold of conscious awareness." (we can discard this one)

Finally, stimulus-response conditioning is when a previously neutral stimulus (for example, talking about a topic in class) that (with time and conditioning) triggers a conditioned response.

Here is the correct option, first, the teacher remarks several times a topic. With enough time, it will trigger a response on the students when they meet an exercise or something related to that topic.

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Answer:

\(y=\frac{1}{2}x-2\)

Step-by-step explanation:

Answer:

C                      

Step-by-step explanation:

Answer:

8 ounces to be evaporated

Step-by-step explanation:

There are 2.52 oz of salt (36 * 0.07)

For 2.52 oz to be 9%, the total is 2.52 / 0.09 = 28 oz total

36 - 28 = 8 ounces

Step-by-step explanation:

Be sure that your equation is in standard form (ax2+bx+c=0) before you start your factoring attempt

Answer:

pls ur question is not clear is there a space between 11 and 2

Answer:

Answer=44

Step-by-step explanation:

Rectangle: 6x4=24.

Triangle: 4x4=16, and 16/2=8.

Semicircle: Pi x radius squared, so pi x 2 squared is 16.something, and since it's a semicircle, we divide by 2, so it's 8 again.

Overall: 24+8+8=44 cm squared.

Answer:

5,004,300

Step-by-step explanation:

It is known that:

Therefore, 40 quarts in gallons is:

So to fill 40 quart bottles, atleast 10 gallons of oil will be needed.

Hence the tank of 12 gallons should be used since it has more than 10 gallons of oil.

The two gallon one does not have enough oil.

Option B that means the second option is correct.

"The 2 gallon tank is not enough ,but the 12 gallon tank is enough".

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.