15 to the 7 power / 15 to the 4 power is equal to what
​

Answer:

f(x) = * 6

Step-by-step explanation:

Since the pattern goes : 1/6, 1, 6, 36, 216, 1,296 you can see a pattern that results with multiplying every number with 6.

1/6 * 6 = 1

1 * 6 = 6

6 * 6 = 36

36 * 6 = 216

216 * 6 = 1296

Answer:

78.55cm^2

Step-by-step explanation:

Given data

DIameter of pie= 20 cm

Radius of pie= 10cm

Area of pie= πr^2

Area= 3.142*10^2

Area= 3.142*100

Area= 314.2 cm^2

Hence one fourth  of 314.2 cm^2 is

= 314.2/4

= 78.55cm^2

Therefore the area of the sector is 78.55cm^2

Answer:

x-3 is cancelled and just one remains in numerator.

Answer:

125

Step-by-step explanation:

Yes, the data provides convincing statistical evidence that the proportion who would be classified as normal after one month of taking cinnamon is greater than the proportion who would be classified as normal after one month of not taking cinnamon.

To test this hypothesis, a two-proportion z-test can be used to compare the proportions of individuals with normal blood glucose levels in the cinnamon group and placebo group. Using the given data, the test statistic is calculated to be 1.78 with a p-value of 0.038.

Since the p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is a significant difference between the proportions of individuals with normal blood glucose levels in the cinnamon and placebo groups. Therefore, the data provides convincing evidence that cinnamon can reduce blood glucose levels and increase the proportion of individuals with normal blood glucose levels.

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Answer:

1000

Step-by-step explanation!

The formula for the amount accrued [ƒ(x)] on an investment earning compound interest is f(t) = P(1 + r)^t where:

P = the amount of money invested (the principal)

r = the interest rate per payment period expressed as a decimal fraction

t = the number of periods

Your formula is

f(x) = 1000(1 + 0.05)^x

In comparison, we can see that the term that represents the amount of money originally invested is 1000.

Answer:

(A) 1,000

Step-by-step explanation:

i just took the test

The length of sides BC and XC in the triangle are 8.66 and 10 units respectively

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Trigonometric ratio is used to show the relationship between the sides and angles of a right triangle.

From the triangle shown, using trigonometric ratio:

sin(30) = 5/XC

XC = 10

Also:

tan(30) = 5/BC

BC = 8.66

The length of BC and XC are 8.66 and 10 units respectively

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Assuming the population is in Hardy-Weinberg equilibrium, the individuals have green hair are equal to 91% .

From the data present in problem,

Hardy and Weinberg proved mathematically that in a population all dominant and recessive alleles include all alleles for a given gene. Mathematically, denoted as p + q = 1.0

Where, p = frequency of dominant alleles (C)

q = frequency of recessive alleles (c) = 0.3

Number of population individua's = 100

Hardy and Weinberg described all the possible genotypes for a gene with two alleles. The binomial expansion representing this is,

p² + 2pq + q² = 1.0

Where, p² = proportion of homozygous dominant individuals (Green)

• q² = proportion of homozygous recessive individuals (White)

2pq = proportion of heterozygotes (Green)

Since, p+ q = 1.0

=>p = 1 - q = 1 - 0.3 = 0.7

=>p = 0.7

The genotypic frequencies are as follows:

CC (p²) = (0.7) = 0.49

Cc (2pq) = 2x(0.3)(0.7) = 0.42

cc (9²) = (0.3)² = 0.09

p² + 2pq + q² = (0.49) + (0.42)+(0.09)= 1.0

The expected number for each genotype are as follows: CC (p²) = (0.49×100) = 49

Cc (2pq) = (0.42×100)= 42

cc(q²) = (0.09×100) = 9

The number of individuals have green hair is as follows: (p²)+(2pq) = 49+42= 91

Thus, required individuals percentage is 91%.

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By grouping like terms and taking common factors, we will see that the addition of the polynomials gives:

(6x^2 - 3) + (8x^2 - 5x - 1) = 14x^2 - 5x - 4

Here we want to add two polynomials:

6x^2 - 3

And

8x^2 - 5x - 1

To make that addition, we just need to group like terms and take common factors.

We start with:

(6x^2 - 3) + (8x^2 - 5x - 1)

Grouping like terms we will get:

(6x^2 + 8x^2) + (-5x) + (-3 - 1)

Now we can simplify that, so we will get:

(6 + 8)*x^2 - 5x - 4

14x^2 - 5x - 4

That is the addition of the polynomials.

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Simple random sampling is least likely to guarantee that the sample will be representative and unbiased.

Simple random sampling is a technique that is used in research in which each member of the population is given an equal chance of being selected. It's the most straightforward and most basic technique for selecting a random sample. Sampling is a statistical method used to gather and analyze data from a subset of a population to provide estimates, hypotheses, or projections of the whole population. A sample is a subset of a population chosen to represent it since it would be difficult to collect data on the entire population. A sample is thus chosen using sampling techniques, which are statistical approaches for choosing representative samples that guarantee unbiased and precise results.

Biased sampling is a type of sampling method that can lead to misleading or erroneous conclusions. It happens when the sample that has been chosen is not representative of the population it is meant to represent. Biased sampling occurs when the selection method used to obtain the sample is flawed.

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The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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There are 166 people out of 295 preferred reading about the news from a newspaper.

The marginal frequency of people reading the news from a newspaper can be calculated by summing up the number of males and females who preferred reading about the news from a newspaper.

The number of males who preferred reading about the news from a newspaper is 138 - 97 = 41.

The number of females who preferred reading about the news from a newspaper is 157 - 32 = 125.

So, the marginal frequency of people reading the news from a newspaper is 41 + 125 = 166.

Therefore, 166 people out of 295 preferred reading about the news from a newspaper.

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The solution to the system of equations is x=\frac{19}{9} and y=\frac{2}{9}

To solve the system of equations, we can use the substitution method.

Step 1: Solve one equation for one variable. Let's choose the second equation, 2x-y=4, and solve for y:
\[y=2x-4\]

Step 2: Substitute the expression for y into the other equations and solve for x:
\[3x-6(2x-4)=5\]
\[3x-12x+24=5\]
\[-9x=-19\]
\[x=\frac{19}{9}\]

Step 3: Substitute the value of x back into the equation for y to find the value of y:
\[y=2(\frac{19}{9})-4\]
\[y=\frac{38}{9}-\frac{36}{9}\]
\[y=\frac{2}{9}\]

Step 4: Check the solution by plugging the values of x and y back into the original equations:
\[3(\frac{19}{9})-6(\frac{2}{9})=5\]
\[6.33-1.33=5\]
\[5=5\]

\[2(\frac{19}{9})-(\frac{2}{9})=4\]
\[4.22-0.22=4\]
\[4=4\]

Therefore, the solution to the system of equations is x=\frac{19}{9} and y=\frac{2}{9}.

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a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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Answer:

Answer:

Permutation:

In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or process of changing the linear order of an ordered set.

Formula:

\(nPr=\frac{n!}{(n-r)!}\)

Example:

Permutations are the different ways in which a collection of items can be arranged. For example, the different ways in which the alphabets A, B and C can be grouped, taken all at a time, are ABC, ACB, BCA, CBA, CAB, BAC. Note that ABC and CBA are not the same as the order of arrangement is different.

Combination:

In mathematics, a combination is a selection of items from a collection, such that the order of selection does not matter.

Formula:

\(nCr=\frac{n!}{r!(n-r)!}\)

Example:

Combination: Picking a team of 3 people from a group of 10.

C(10,3) = 10!/(7! * 3!) = 10 * 9 * 8 / (3 * 2 * 1) = 120.

Probability:

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Formula:

Conditional Probability P(A | B) = P(A∩B) / P(B)

Bayes Formula P(A | B) = P(B | A) ⋅ P(A) / P(B)

Example:

Probability is the likelihood or chance of an event occurring. For example, the probability of flipping a coin and its being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½.

~permutation~

Permutation is a term that in mathematics refers to several different meanings in different areas.

Permutation can be permutation with repetition and permutation without repetition.

nPr=

(n−r)!

n!

~Permutation without repetition~

Permutation means to combine the default elements in all possible ways so that each group contains all the default elements.

The number of permutations of a set of n different elements is equal Pn=n×(n-1)×...×2×1=n!

~Permutation with repetition~

If between n given elements there are k1 equals of one kind, k2 equals of another kind,..., ky equals of rth kind, we speak of permutations with repetition.

~combinations without repetition~

In many counting problems, the order of the selected elements is not important.

Each choice of r different elements of an n-member set determines one of its subsets that has r elements, we call it a combination of r-th class without repetition of n elements.

nCr=

r!(n−r)!

n!

~combinations with repetition~

Repetition combinations are combinations in which elements can be repeated.

~Variations without repetition~

A variation of the r-th class in an n-membered set is each ordered r-torque of different elements.

(We can determine this number using the principle of consecutive counting).

~Variations with repetition~

If the elements in ordered r-tuples can be repeated we are talking about variations with repetition.

(We can determine this number using the principle of consecutive counting).

Hey there!

m + 14 < -125

SUBTRACT 14 to BOTH SIDES

m + 14 - 14 < -125 - 14

CANCEL out: 14 - 14 because it gives you 0

KEEP: -125 - 14 because it help you solve for the m-value

NEW EQUATION: m < -125 - 14

SIMPLIFY IT!

m < -139

DIVIDE 1 to BOTH SIDES

1m/1 < -139/1

CANCEL out: 1/1 because it gives you 1

KEEP: -139/1 because it help you with the number that is being compared to the m-value

NEW EQUATION: m < -139/1

SIMPLIFY IT!

m < -139

Therefore, your answer should be:

[m < -139]; it is an OPEN circle shaded to the LEFT starting at -139 (of course)

Based on the choices you have provided… NONE OF THE ABOVE will most likely be the actual choice because they are way too big/small

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

m<-139

Step-by-step explanation:

m+14<-125

subtract 14 from both sides

m<-125-14

m<-139

I am not sure if this is right but this is what I thought

Answer:

Step-by-step explanation:

Step-by-step explanation:

\({:}\longrightarrow\)\(\sf 2x-4=10 \)

\({:}\longrightarrow\)\(\sf 2x=10+4 \)

\({:}\longrightarrow\)\(\sf 2x=14 \)

\({:}\longrightarrow\)\(\sf x={\dfrac {14}{2}}\)

\({:}\longrightarrow\)\(\sf x=7 \)

Answer:

The stock market goes up 70 1/2 points at the beginning of the day, so we can represent the starting value as:

Starting value = 70 1/2

The stock market stays at this level for most of the day, so the value remains the same until the end of the day.

At the end of the day, the stock market goes down 120 3/4 points from the high at the beginning of the day. To calculate the ending value, we need to subtract this decrease from the starting value:

Ending value = Starting value - Decrease

Ending value = 70 1/2 - 120 3/4

To subtract the two values, we need to convert them to a common fraction with a common denominator of 4:

70 1/2 = 141/2

120 3/4 = 483/4

Ending value = 141/2 - 483/4

Ending value = 282/4 - 483/4

Ending value = -201/4

Therefore, the total change in the stock market from the beginning of the day to the end of the day is:

Ending value - Starting value = (-201/4) - (141/2) = -201/4 - 282/4 = -483/4

The total change in the stock market from the beginning of the day to the end of the day is a decrease of 483/4 points.

Answer:

The data in Set A are skewed left, because the mean is less than the median. The data in set B are symmetrical, because the mean is equal to the median.

Step-by-step explanation:

For prim people, this is the answer I got it right.

Answer:

(1,2)

Step-by-step explanation:

The x-axis always goes first when it comes to graphing, therefore for the y-axis it is always secondary. Unless you are doing Algebra Equations. Hope that explains everything!

Answer: 2, -3

Step-by-step explanation:

Total distance represented by the simplified expression for which the car was tested equals option c. x² + 2x - 4 .

Total distance drive on flat road = x miles

Total distance drive on downhill =  (x²+ 3) miles

Total distance drive on uphill =  ( x - 7 ) miles

Simplified expression which is equivalent to total distance drive by a car

= Distance drive on ( flat road + downhill + uphill )

= ( x +  x²+ 3 + x - 7 ) miles

= ( x² + 2x - 4 ) miles

Therefore, the simplified expression equivalent to the total distance drive by a tested car is equal to option c.  ( x² + 2x - 4 ) miles.

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The above question is incomplete , the complete question is:

A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x miles on a flat road,    (x²+ 3) miles downhill, and (x - 7) miles uphill. Which simplified expression is equivalent to the total distance, in miles, for which the car was tested?

a.3x² _ 4

b. 3x² + 10

c. x² + 2x - 4

d. x² + 2x + 10

An inequality for the number of sales you need to make is: 92 + 4s ≥ 200, and the solution of given inequality is s ≥ 27.

The correct answer is an option (E)

In this question, we have been given that as  a salesperson, you are paid $92 per week plus $4 per sale. This week you want your pay to be at least $200.

We need to write an inequality for the number of sales you need to make, and describe the solutions.

Let x be the number of sales.

Your pay $92 per week plus $4 per sale.

This week you want your pay to be at least $200.

So, we get an inequality.

92 + 4s ≥ 200

We solve above inequality.

92 + 4s -92 ≥ 200 - 92

4s ≥ 108

4s/4 ≥ 108/4

s ≥ 27

Therefore, an inequality for the number of sales you need to make is: 92 + 4s ≥ 200, and the solution of given inequality is s ≥ 27.

The correct answer is an option (E)

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The probability that abc ab a is divisible by 3 is 13/27.

Probability

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

We group this into groups of 3, because 3|2010. This means that every residue class mod 3 has an equal probability.

If 3|a, we are done. There is a probability of 1/3 that that happens.

Otherwise, we have 3 | bc + b + 1, which means that b (c + 1 ) = 2  mod{3}. So either

b = 1     mod (3)          c = 1     mod (3)

or

b = 2    mod (3)          c = 0     mod (3)

Which will lead to the property being true. There is a 1/3 * 1/3 = 1/9 chance for each bundle of cases to be true.

Thus, the total for the cases is 2/9. But we have to multiply by 2/3 because this only happens with a 2/3 chance. So the total is actually 4/27.

The grand total is

1/3 + 4/27  = 13/27

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Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

The probability of them picking granola is 1/3

The probability of them choosing juice is 1/4

Step-by-step explanation:

Hope it helps :)

Answer:

I could but can you please put down the problem.

Step-by-step explanation:

The distance of the student from the foot of the tower is 25.63m the nearest 1/2 is 25.5m.

Given that From the top of a tower 14m high

The angle of depression of a student is 32°

we can use trigonometry to find the distance from the foot of the tower to the student:

tan(32°) = opposite/adjacent = 14/distance

Rearranging this equation gives:

distance = 14/tan(32°)

= 25.63m

Therefore, the distance of the student from the foot of the tower is approximately 25.63m nearest 1/2, this is 25.5m.

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Answer:

29

Step-by-step explanation: