Six times a number increased by 12 plus 3 times the number increased by 6 is equal to 58.5. What is the number?

Answer:

just do it by Pythagoras theoram

Step-by-step explanation:

because it is a right angle

Answer: The answer is 3

Step-by-step explanation:

Factors of 13 are 1, 13, and there are 2 integers that are factors of 13. The greatest factor of 13 is 3

The compound inequality is x < 1 or x >= 3

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

The number line

From the number line, we have the following readings

x is less than 1 (exclusive of 1)

x is greater than or equal to 3 (inclusive of 3)

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

x < 1 or x >= 3

Hence, the solution is x < 1 or x >= 3

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The probability density function (PDF) of the normal distribution is given by:

f(x) = (1 / (σ * √(2π))) * e^(-((x - μ)^2) / (2σ^2))

where:

μ is the mean (or expected value) of the distribution

σ is the standard deviation of the distribution

e is the mathematical constant (approx. 2.71828)

π is the mathematical constant pi (approx. 3.14159)

√(2π) is the square root of 2π

The normal distribution is a continuous probability distribution that is often used to model real-world phenomena that follow a bell-shaped curve, such as heights, weights, or test scores. The PDF formula describes the shape of the bell curve and gives the relative likelihood of a particular value occurring within the distribution.

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Answer:

y = -2/5x - 4

Step-by-step explanation:

The mean and median will both decrease.

This option is plausible. Because the addition of a 15 will decrease the mean. Additionally, since 15 is smaller than the current median (51), the median will also decrease. Thus the correct statement is option B.

To determine the effect of adding a tenth data point of 15 to the given dataset on the mean and median, let's analyze the options:

A. The mean will decrease and the median will stay the same.

Adding a value of 15, which is smaller than the current mean (52.11), will bring the overall mean down. However, the median, which is currently 51, will remain the same since it is the middle value in the ordered dataset.

B. The mean and median will both decrease.

This option is plausible. As mentioned earlier, the addition of a smaller value (15) will decrease the mean. Additionally, since 15 is smaller than the current median (51), the median will also decrease.

C. The mean and median will remain the same.

This option is incorrect. Adding a new value to the dataset will change the mean and median.

D. The mean and median will both increase.

This option is incorrect. Adding a value of 15, which is smaller than the current mean and median, will not cause both measures to increase.

Based on the analysis, the correct option is B. The mean and median will both decrease if a tenth data point of 15 is added to the dataset.

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Step-by-step explanation:

they are vatically opposites

Answer:

Option 1

Step-by-step explanation:

Effective Interest Rate = [ 1 + ( r / m) ]^ mt -  { 1 }

where i = nominal interest rate , n = number of compounding per time period, t = number of time periods

Option 1 : Interest rate 'i' = 2% , Quarterly compounding 'n' = 4 , t = 25 years  

EAR  = [ 1 + 2% / 4 ]^ (4 x 25) - [ 1 ]  = 0.6466 , ie 64.66%

Option 2 :  Interest rate 'i' = 2% , Monthly compounding 'n' = 12 , t = 25 years  

EAR = [ 1 + 1.5% / 12 ] ^ (12 x 25) - [ 1 ] = 0.4546 , ie 45.46%

As option 1 has higher EAR than option 2, former is better than latter

The standard deck of cards contains 52 cards. In the given scenario, Jenelle draws one card from a standard deck of 52 cards. Let us first determine the probability of drawing either a two or a ten.

Since there are four twos and four tens in a deck of 52 cards, the probability of drawing a two or a ten can be calculated as follows:P(drawing a two or a ten) = P(drawing a two) + P(drawing a ten)P(drawing a two or a ten) = 4/52 + 4/52P(drawing a two or a ten) = 8/52The above fraction can be reduced by dividing both the numerator and denominator by 4.

Thus,P(drawing a two or a ten) = 2/13Now, let us determine the probability of drawing either a two or a club. Since there are four twos and thirteen clubs in a deck of 52 cards, the probability of drawing a two or a club can be calculated as follows:P(drawing a two or a club) = P(drawing a two) + P(drawing a club) - P(drawing a two of clubs)Since there is only one two of clubs in a deck of 52 cards,P(drawing a two or a club) = 4/52 + 13/52 - 1/52P(drawing a two or a club) = 16/52The above fraction can be reduced by dividing both the numerator and denominator by 4.

Thus,P(drawing a two or a club) = 4/13Hence, the probability of drawing either a two or a ten is 2/13 and the probability of drawing either a two or a club is 4/13.

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Answer:

Step-by-step explanation:

Answer:

20 pages

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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To arrive at the objective function, we must make the main assumption that the returns are normally distributed

The objective function is a mathematical expression used to represent the goal of a problem in terms of one or more variables. In finance, the objective function is used to represent the goal of maximizing returns.

The distribution of returns is an important factor to consider when creating an objective function for an investment portfolio. Returns are the gains or losses an investor makes on his investments. The distribution of returns refers to the way in which these returns are distributed in the portfolio.

To arrive at the objective function, we must make the main assumption that the returns are normally distributed. A normal distribution is a bell-shaped curve that represents the distribution of data in a population. In finance, normal distributions are used to model portfolio returns because they ensure a good approximation of how returns are distributed across a wide range of investments.

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Credit is an important part of modern financial systems, and it is used to make purchases, access loans, and invest in different projects. Creditworthiness is a key factor in determining whether an individual can obtain a loan or a credit card.

Matching Vocabularies with Examples:

1. Shows how well previous debt has been managed. - Credit report

2. Gives an approved line of credit with an agreed-upon interest rate. - Credit card

3. Helps lenders and others predict how likely you are to make your credit payments on time. - Credit score

4. Assessment of how likely a borrower will default or not make payments on his or her debt obligations. - Credit worthiness

Credit Report:

A credit report is a detailed record of an individual's credit history, including past loans, credit card balances, and payment history. It provides information on how well a person has managed their previous debt obligations and their current outstanding balances. It also shows whether the person has been involved in any legal proceedings related to their credit.

Credit Card:

A credit card is a financial product that allows an individual to borrow money up to a certain credit limit approved by the lender. It provides a convenient and quick method of making purchases, but it comes with interest charges and fees that must be repaid on time.

Credit Score:

A credit score is a numerical representation of a person's creditworthiness. It is calculated based on the individual's credit report, payment history, current debt, and other factors. A higher credit score indicates a lower risk of defaulting on a loan or credit card payment.

Creditworthiness:

Creditworthiness refers to a borrower's ability to repay their debts and their overall financial health. It is an assessment of how likely a borrower is to default on their debt obligations. Lenders use creditworthiness to determine whether to approve a loan or credit card application and at what interest rate.

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The lines that best represent perpendicular lines are: D. FI and JH.

Perpendicular lines are lines that meet at a right angle, that is, the point of their intersection forms a right angle.

From the image given, lines FI and JH intersect at point I, and also appears to form a right angle.

Therefore, the lines that are perpendicular in the image are: D. FI and JH.

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Answer:

The value of the y-intercept b is 0.75

Step-by-step explanation:

Here, we want to find the value of the y-intercept

The equation of the line can be written as;

y = mx + b

where m is slope and b is the y-intercept

so y = 1/4x + c

To get the value of b , we substitute for x and y using the given point

4/5 = 1/4(0.2) + c

Multiply

0.8 = (0.25)(0.2) + b

0.8 = 0.05 + b

b = 0.8 - 0.05 = 0.75

Answer:

b=0.75

Step-by-step explanation:

i did it on edge

Answer: -2

Step-by-step explanation:

Let the number be w

3*(w+5) = 9

Expanding, we get 3w + 15 = 9

                             3w = 9 - 15 = -6

                              w = -6/3 = -2

Based on Webster's Plan and a standard quota of 5.58, the West should have 4,484,304 seats.

Webster's Plan refers to an apportionment plan, created by J. W. Webster in 1832, used for distributing seats among the states of the United States in the United States House of Representatives. In Webster's plan, the standard quota is a number determined by dividing the whole population of the United States by the number of seats available in the House of Representatives.  

The number of seats for each state is calculated by dividing the state's population by the standard quota.To determine the number of seats for the West based on a standard quota of 5.58, we need to know the population of the West. Once we have the population of the West, we can calculate the number of seats allotted to the region as follows:Let the population of the West be represented by Pw.

Then the number of seats allotted to the West would be:Pw/5.58. For example, if the population of the West is 25 million, the number of seats allotted to the region would be:25,000,000/5.58=4,484,304.93We can't have fractional seats, so we round down to the nearest whole number, which gives us 4,484,304 seats. Therefore, based on Webster's Plan and a standard quota of 5.58, the West should have 4,484,304 seats.

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The result of addition of the two equations 2x + 3y=-5 and 5x - y = -12 is 7x + 2y = -17.

We have to add the two equations 2x + 3y = -5 and 5x - y = -12.

In algebra, like terms can be added or subtracted. Two equations can be added by adding their L.H.S to L.H.S and R.H.S to R.H.S. (L.H.S is Left hand side and R.H.S is Right hand side)

Adding the two equations,

2x + 3y + 5x - y = (-5) + (-12)

2x+5x+3y-y= -5-12

7x + 2y = -17

Hence, by adding 2x + 3y = -5 and 5x - y = -12, we get 7x + 2y = -17.

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The slope of the line is 2.

From the question, we have

the slope of the line that passes through two points is given by:

m = (y1 - y2) / (x1 - x2)

=(10-12)/(3-4)

=2

The slope of the line is 2.

Slope of a Line :

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's slope in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate.

As a result, the formula for the change in y-coordinate with respect to the change in x-coordinate is m = change in y/change in x = y/x.

where the slope of a line is denoted by "m".

The graph of the equation y = mx + c has a slope of m, an intercept of m, and a y-intercept of c. In the slope-intercept version of the linear equation, m and c are real integer values.

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Answer:

389 hours and 23 minutes

Step-by-step explanation:

16x24=384

384+=5=389

and 23 minutes

The total surface area of a cylinder is calculated with the formula

Hence, the area of the total surface area of the cylinder is 301.44m²

Answer:

Hello,

Answer A

Step-by-step explanation:

Since there are 4 inputs and 3 are known

we shell try a function like y=ax²+bx+c

So we have to resolve the system

\(\left \{\begin{array}{cccc}9a+3b+c&=&16\\25a+5b+c&=&22\\289a+17b+c&=&58\\\end{array}\right.\\\\\\\left \{\begin{array}{cccc}a&=&0\\b&=&3\\c&=&7\\\end{array}\right.\\\\\)

We have to try:

0*x²+3*x+7=31

3x=24

x=8

Answer:

bloop

Step-by-step explanation:14 and 30

The probability that z lies between 0 and 3 is "0.9987". The correct option is A) 0.9987.

The probability that a standard normal variable z lies between 0 and 3.01 can be found using the standard normal distribution table or calculator. The area under the standard normal distribution curve between z = 0 and z = 3.01 represents the probability that z lies between those values.

The standard normal distribution is a bell-shaped curve with a mean of 0 and a standard deviation of 1. The area under the curve represents probabilities, and the total area under the curve is equal to 1. Using a standard normal distribution table or calculator, we can find that the probability that z lies between 0 and 3.01 is 0.9987, which means that there is a 99.87% chance that a standard normal variable z will fall between 0 and 3.01. Therefore, option A is the correct answer.

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Answer:

58,330.5

Step-by-step explanation:

To get the mean of something, you add all the numbers then divide it by the number of things added. I added them all, then divided by 4 to get 58,330.5

Hope this helps GL on the rest of your Khan Academy! :)

Answer:

The correct answer is 8

Step-by-step explanation:

Answer:

yes the correct way to write it is - 7/3

negative

Step-by-step explanation:

if you divide -7 by 3 you get the same answer as 7/-3

Answer:

1= 8

3= 12

5= 16

7= 20

9= 24

Step-by-step explanation:

1+3=4x2=8

3+3=6x2=12

5+3=8x2=16

9+3=12x2=24

ANSWER:1=8

3=12

5=16

7=20

9=24

step -by - step explanation: 1+3=4×2=8

3+3=6×2=12

5+3=8×2=16

9+3=12×2=24

1: if 3/4 is equal to 12 gallons then the capacity of the tank is 4(12)/3= 16 gallons

2: it can be filled 2x(16)=32 half gallon bottles

The conclusion of the given statement comes at a point where 5 would not be an even number, it cannot end in 0 instead.

In mathematics, multiplication produces a product, or it can refer to an expression that specifies the factors to be multiplied. Multiply in math refers to adding like groupings. The number of items in the group grows as we multiply.

Recalling times tables helps kids develop their memory skills, which is a transferable skill that will aid them in school and in life as adults. Children who have mastered their times tables will find it simpler to complete math problems and perform mental calculations.

Through the Given statement-

You must get at least one of each by multiplying as many 5s and 2s as you like.

Because 5 would not be an even number, it cannot end in 0 instead.

It cannot therefore end in 5, as that would not be an even number, which is 0.

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