coca cola philippines inc. makes diffrent flavors of soda.the company produces the same number of bottles for each flavor.if the company produced 8905 bottles of soda in all, how many different flavors could the company make

What does the problem ask for

A.numbers of bottle
B.number of company
C.number of soda
D.number of flavor​

Answer:

AAS

Step-by-step explanation:

\(\overline{PR} \cong \overline{PR}\) by the reflexive property.

c) The range of the tangent function is all real numbers. This can be represented as (-∞, ∞) in interval notation

a. The domain of the cosine function (cos) is all real numbers. This can be represented as (-∞, ∞) in interval notation.

The range of the cosine function is [-1, 1]. This can be represented as [-1, 1] in interval notation.

b. The domain of the sine function (sin) is all real numbers. This can be represented as (-∞, ∞) in interval notation.

The range of the sine function is [-1, 1]. This can be represented as [-1, 1] in interval notation.

c. The domain of the tangent function (tan) is all real numbers except the values where the function is undefined, which occur when the input angle is equal to (2k + 1)π/2, where k is an integer. This can be represented as (-∞, (2k + 1)π/2) ∪ ((2k + 1)π/2, ∞) in interval notation.

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Answer:

Sample Answer:

Step-by-step explanation:

The coefficients on the x2 terms cancel each other because 1 – 1 = 0.

The constant was not included.

The coefficients on the x terms were subtracted incorrectly; 8x – 6x = 2x (not negative).

Answer:

Sample Response: If you simplify the first expression, you will not get the second expression. In the first expression, the x2 terms have coefficients of 1 and -1 and, when combined, the result is 0. Also, the x terms have coefficients of 8 and -6 and, when combined, the result is 2. Finally, the constant from the first expression is not in the second expression.

Answer:

60

Step-by-step explanation:

the bird is flying 40 meter above sea level and the fish is 20 meters below the sea level

Answer:

Step-by-step explanation:

Since the figure above is a triangle all it's interior angles sum up to 180°.

To find y add up all the angles and equate them to 180 and solve for y

That's

y + y - 12 + 56 = 180

2y + 44 = 180

2y = 180 - 44

2y = 136

Divide both sides by 2

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

MIXED NUMBER: Convert to a mixed number by placing the numbers to the right of the decimal over 10.Reduce the fraction

8 4/5

SIMPLFIED FRACTION: Convert to a mixed number by placing the numbers to the right of the decimal over 10.Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

44/5

Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.

Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.

Here,

It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."

If City A is more reliable than City B, then City A will have a lower standard deviation.

A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.

So, the appropriate answer is:

The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.

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The equation of the line parallel to 3x-2y is:

2y-3x=0

Given in the question:

Equation of the line parallel is: 3x-2y=0

Property: We know through the property of the slopes, that the slope of two parallel line are equal.

m1=m2

Let the slope of the given line be denoted as m1.

Then, from the equation:

3x-2y=0

3x=2y

y=3/2x+0

comparing it to the standard equation of a straight line: y=mx+c

we get,

m1=3/2

then from the property

m1=m2

Then,  m2=3/2

Let the point be P(4,6)

The the equation of the straight line parallel to the line 3x-2y is:

y=mx+c

y-y1=m(x-x1)

y-6=3/2(x-4)

cross multiplying

2(y-6)=3(x-4)  

2y-12=3x-12

2y-3x=12-12

2y-3x=0

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A 4/4 ARM will have a fixed interest rate for the first 4 years, after it will be adjusted every 4 years.

The first number in an ARM (Adjustable Rate Mortgage) indicates the number of years the interest rate will remain fixed.

The second number represents how often the interest rate will be adjusted after the initial fixed period.

A 4/4 ARM will have a fixed interest rate for the first 4 years, after  it will be adjusted every 4 years.

1/4 ARM indicates a fixed interest rate for only one year, after it will be adjusted every 4 years.

4/1 ARM indicates a fixed interest rate for the first 4 years, after it will be adjusted every year.

1/1 ARM indicates a fixed interest rate for only one year, after it will be adjusted every year.

The length of time the interest rate will be fixed is indicated by the first number in an ARM (Adjustable Rate Mortgage).

How frequently the interest rate will be modified following the initial fixed term is indicated by the second number.

For the first four years of a 4/4 ARM, the interest rate is fixed; after that, it is revised every four years.

A 1/4 ARM denotes an interest rate that is set for just one year before being changed every four years.

A 4/1 ARM has an interest rate that is set for the first four years and then adjusts annually after that.

A 1/1 ARM denotes an interest rate that is set for just one year before being modified annually after that.

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Answer:

Solution given:

ratio of boys to the girls=5:3

let ratio be 5x and 3x

we have

5x+3x=40

8x=40

x=40/8

x=5

5x=5*5=25

3x=3*5=15

\(\)

No of boys=25

No of girls=15

The total length of the ride is 25 Kilometers.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is that Cyclist were 3/5 finished with their ride when they reached the 15 kilometer mark.

Assume that the total length of the ride is {x} Kilometer. Than, we can write -

3/5 of {x} = 15

3/5 × {x} = 15

{x} = (15 x 5)/3

{x} = 5 x 5

{x} = 25

Therefore, the total length of the ride is 25 Kilometers.

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Answer:

13mm

Step-by-step explanation:

To calculate the mean length of the insects Mick found, we need to find the sum of all the lengths multiplied by their respective frequencies, and then divide it by the total frequency.

The length intervals and their frequencies are as follows:

0 < x ≤ 10 (frequency = 9)

10 < x ≤ 20 (frequency = 6)

20 < x < 30 (frequency = 5)

To calculate the mean length, we can follow these steps:

Multiply each length interval by its corresponding frequency:

Sum = (9 * (0 + 10)/2) + (6 * (10 + 20)/2) + (5 * (20 + 30)/2)

= (9 * 5) + (6 * 15) + (5 * 25)

= 45 + 90 + 125

= 260

Calculate the total frequency by adding up the frequencies:

Total frequency = 9 + 6 + 5

= 20

Divide the sum by the total frequency to find the mean length:

Mean length = Sum / Total frequency

= 260 / 20

= 13

Therefore, the estimate of the mean length of the insects Mick found is 13 mm.

Answer:

x + y = 10

Step-by-step explanation:

Conduct additional surveys to increase the total number of responses.

Remove duplicates from the dataset to eliminate skewing of results

Use caution when interpreting the results and consider them exploratory rather than conclusive

Consider using a different methodology for gathering data, such as focus groups or interviews

Adjust the confidence level for the survey results to account for the smaller sample size

Use a different data analysis technique, such as bootstrapping, to account for the limitations of the dataset

Consider using a sample survey method, like stratified sampling or cluster sampling.

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Answer:18

Step-by-step explanation:

Answer:

One apple pie is $4 and one blackberry pie is $20

Step-by-step explanation:

Create a system of equations where a is the cost of one apple pie and b is the cost of one blackberry pie:

10a + 2b = 80

10a + 3b = 100

Solve by elimination by multiplying the top equation by -1, then adding the equations together:

-10a - 2b = -80

10a + 3b = 100

Add these together:

b = 20

So, one blackberry pie is $20. Plug in 20 as b into one of the equations, and solve for a:

10a + 2b = 80

10a + 2(20) = 80

10a + 40 = 80

10a = 40

a = 4

So, one apple pie is $4.

One apple pie is $4 and one blackberry pie is $20

Answer:

Putting all the x's to one side.

Step-by-step explanation:

By doing this, you would get:

10 = 2.5x

so,

4 = x

Answer:

We subtract 5x from both sides

Step-by-step explanation:

Step 1:  Subtract 5x from both sides

\(5x + 10 = 7.5x\)

\(10 + 5x - 5x = 7.5x - 5x\)

\(10 = 2.5x\)

Step 2:  Divide both sides by 2.5

\(\frac{10}{2.5} = \frac{2.5x}{2.5}\)

\(4 = x\)

Answer:  We subtract 5x from both sides

ANSWER:

The equation has 4 solutions.

Its real solutions are x =3 and x = 1

EXPLANATION:

Given:

To find how many solutions the equation has, we have:

The solution will be the values of x.

There are factors already, which are:

(x - 3) = 0

x² + 4 = 0

x + 1 = 0

Therefore, the solutions are:

x = 3

The result of the normal probability distribution being bell-shaped is that the mean, median, and mode are at the center.

This means that the center of the bell-shaped curve represents the most likely occurrence of the data and that the values are symmetrically distributed around the mean.

The mean, median, and mode of a normal distribution are equal, which means that they are all located at the center of the bell-shaped curve. This is an important characteristic of the normal distribution and sets it apart from other distributions where the mean, median, and mode may not be equal.

In a normal distribution, the area on each side of the mean does not equal 1.00, but rather approaches 1.00 as the curve becomes more symmetrical. The height of the curve at the mean represents the highest probability of occurrence, and the probabilities decrease as the values deviate from the mean.

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The  statement about probability that is true is option The probability of landing on orange is equal to the probability of landing on yellow.

From the  question, the spinner has:

8 sections, with:

So probability of one getting on any section is  = 1/8, or 0.125.

Therefore, the  probability of getting on orange will still be the same as the probability of landing on yellow and as such option C is correct.

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Answer:

the price with the offer is going to be 1.59$

Step-by-step explanation:

\( \frac{x}{5.30} = \frac{70}{100} \)

\(100(x) = 70(5.30)\)

\(100(x) = 371\)

\( \frac{100(x)}{100} = \frac{371}{100} \)

\(x = 3.71\)

\(70\% \: \: \: of \: \: \: 5.30 \: \: \: is \: \: \: 3.71\)

\(5.30 - 3.71 = 1.59\)

The theoretical probability gives an expected outcome based on mathematical principles, however there are several factors that can affect the actual outcome

Gina's experimental probability of spinning a penny and getting heads is 38/100, which is 0.38 or 38%.

The theoretical probability of spinning a coin and getting heads is 0.5 or 50%.

There are several reasons why Gina's experimental probability may be different from the theoretical probability:

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Answer:

99

Step-by-step explanation:

Answer:

(0,1) (0.333,0)

(7,0)

m=1

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

-5 goes to -6 goes to -7 goes to -8

The amount of diamonds produced in the first country is 1,000,000 carats, and in the second country, it is 5,000,000 carats.

Let's assume the amount of diamonds produced in one country is x carats. According to the given information, the other country produces about five times the amount produced in the first country. Therefore, the amount of diamonds produced in the second country can be expressed as 5x carats.

The total amount of diamonds produced in both countries is given as 6,000,000 carats. This can be represented by the equation:

\(x + 5x = 6,000,000\)

Combining like terms, we get:

\(6x = 6,000,000\)

To solve for x, we divide both sides of the equation by 6:

\(x = 1,000,000\)

Therefore, the amount of diamonds produced in the first country is 1,000,000 carats, and in the second country, it is 5 times that amount, which is 5,000,000 carats.

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First, open Excel, then go for the Body Mass column. Second, In Excel, you can do this using the AVERAGE function: =AVERAGE(column_ range). Third, determine the upper limit of the interval by adding 20 to the mean. Forth, In Excel, use the COUNTIF function: =COUNTIF(column_ range, "<="&upper_ limit). Fifth, calculate the percentage of body mass.

Sixth, the percentage to 2 decimal places using Excel's ROUND function: =ROUND(percentage, 2)

To answer the question, we need to calculate the number of body masses that fall within the interval u + 20, where u is the mean body mass of the population.

First, we need to find the mean body mass. We can do this by using the AVERAGE function in Excel. Select the column with the body mass data and click on the Formulas tab. Click on the More Functions dropdown menu and select Statistical. Then, click on AVERAGE. Excel will automatically select the column with the body mass data and give you the mean value.

Next, we need to add 20 to the mean body mass to get the upper limit of the interval. We can do this by typing "=AVERAGE(B2:B152)+20" in a cell, where B2:B152 is the range of body mass data. This will give us the upper limit of the interval.

Now, we need to find the number of body masses that fall within this interval. We can do this by using the COUNTIF function in Excel. Type "=COUNTIF(B2:B152,"<="&upper limit)-COUNTIF(B2:B152,"<"&mean)" in a cell, where B2:B152 is the range of body mass data, the upper limit is the upper limit of the interval, and mean is the mean body mass. This will give us the number of body masses that fall within the interval u + 20.

To find the percentage of body masses that fall within this interval, we need to divide the number of body masses that fall within the interval by the total number of body masses and multiply by 100. We can do this by typing "= a number of body masses within interval/151*100" in a cell, where the number of body masses within the interval is the result of the COUNTIF function. This will give us the percentage of body masses that fall within the interval u + 20.

Therefore, the answer to the question is the percentage of body masses that fall within the interval u + 20, which we calculated using Excel.

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