A golfer hits from the tee for a 300 yard hole. Her drive carries 275 yards but is 13 degrees off line from the hole. How much further must the golfer now hit the ball to reach the hole?

Answer:

The scale factor is (0.5)

Step-by-step explanation:

\( \frac{2}{4} = \frac{1}{2} \\ \frac{3}{6} = \frac{1}{2} \\ \frac{4}{8} = \frac{1}{2} \\ so \: the \: scale \: factor \: is \: \frac{1}{2} = 0.5\)

I hope that is useful for you :)

The sampling method described in the scenario is d. stratified sampling.

In stratified sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables. The researcher then randomly selects samples from each stratum in proportion to their representation in the population. This approach ensures that the sample is representative of the population's diversity.

In this case, the researcher has divided the population of teachers into two strata: male teachers and female teachers. By randomly selecting 50 male teachers and 50 female teachers, the researcher is ensuring that both genders are represented in the sample.

The researcher's intention is to have a sample that reflects the gender distribution of teachers in the population accurately. Therefore, stratified sampling is the appropriate method in this scenario.

Other sampling methods, such as systematic sampling, convenience sampling, random sampling, and cluster sampling, are not applicable because they do not specifically address the need to ensure proportional representation of genders in the sample.

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Answer:5.15 or 5 rounded

Step-by-step explanation:

8-3=5 and add .15

Answer:

2.915 × 10^9

Step-by-step explanation:

you count the from right to left since its a positive number until you get one number in front. That's where you place your decimal. Since there's 9 numbers behind the 2 it will be 10 to the power of 9.

Answer:

The answer is y=2x+2

Step-by-step explanation:

The given statement "descriptive statistics uses the data to make inferences and predictions about a population based on a sample of data taken from the population in question" is FALSE.

How is this false?

Descriptive statistics is a branch of statistics that studies and summarizes a set of data's main features. It aids in the interpretation of data and drawing conclusions about the population based on sample data. Descriptive statistics are used to provide a quick summary of the data set's key characteristics.

An inference is a statistical method of estimating the characteristics of a population based on a sample's data. It is a method of predicting data in a population based on the observations made in a sample. The primary goal of inferential statistics is to make predictions about a population based on data from a sample of that population.

Predictions are projections or guesses about what might occur in the future. When used in statistics, prediction refers to the use of current data to estimate what might occur later. A statistical model is usually used to make a prediction.

A population is the entire collection of items or individuals about which you want to learn in statistics. A population is made up of all of the objects or people who possess the qualities that the researcher is interested in researching.

A sample is a subset of a population that is used to collect data and conduct statistical analyses. The sample size is typically less than the population size, and data collected from a sample is used to make inferences about the population as a whole.

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For the exponential function \(f(x)=25(\frac{3}{5})^x\), the value for the first and second points are (1,15) and (2,9) respectively.

What is an exponential function?

The formula for an exponential function is \(f(x) = a^x\), where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The exponential function is written in the form \(f(x)=a\times b^x\).

Here, a is the constant value, b is the base value, and x is the exponential rate value.

To find the next point on the graph, we can use the fact that the function is an exponential function with base 3/5, which means that each time we increase x by 1, the output is multiplied by 3/5.

Starting with the point (1,15), we can find the next point by increasing x by 1 -

f(2) = 25(3/5)²

= 25(9/25)

= 9

Therefore, the next point Tanisha could plot on the graph is (2,9).

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Answer:

there would be 1 ÷ 6 sugar in each month

Step-by-step explanation:

The computation of the customers that want to know the sugar in each muffin is shown below

Here we assume the sugar in each muffin be x

Now there is 30 cups and 10 cups should be used for making some cookies

And, the rest would be use for making 144 gaint muffins

So, the equation that should be used is

10 + 144x = 34

144x = 24

x = 1 ÷ 6

So there would be 1 ÷ 6 sugar in each month

Answer:

-4

Step-by-step explanation:

sorry if this is wrong I forgot how to do it. :)

(I think)

Answer:

50% of 60=83.33%

5% of 60=3

1% of 60=0.6

Step-by-step explanation:

Equation reads C=25n+2500, and the price to make 3000 toys is $77,500. Additionally, 1200 toys may be created for $32500.

A linear equation in algebra is one that only contains a constant and a first-order (linear) component, like y=mx+b, where m is the slope and b is the y-intercept.

Let's use the equation y=mx+b, where n is the number of toys and C is the overall cost. The total cost of producing n toys would be equal to the initial development cost plus the production cost of each toy.

The cost to make a toy will equal m since m is multiplied by n, the quantity of toys. B will always equal the development cost since it is a constant and its value is unaffected by the number of toys.

Therefore, \(C=25n + 2500\)

by above, equation put

\(n=1750\\C= 25(3000) + 2500\\C= $77,500\)

Now, again by same equation, but C instead of n.

\(= > 32500= 25n +2500\\= > 30000=25n\\= > n = 1200\)

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We have

for circle C:

radius = CD = 5

therefore, EC = 5

for circle A:

radius = CD + AD = 5 + 5 = 10

therefore, AB = 10

So, BE = AB + AD + CD + EC = 10 + 5 + 5 + 5 = 25

Answer: 25

Answer:

x=-8 OR X=2

Step-by-step explanation:

X²+6X-6=10

X²+6X-16=0

X²+8X-2X-16

X(X+8)-2(X+8)

X+8=0 X-2=0

X=-8 OR X=2

Answer:

x= -8 or X= 2

Step-by-step explanation:

edge

Answer:

20.25 pi meters

option C

hope it helps

Answer:

yes

Step-by-step explanation:

A rational number is a number that can be written as a ratio of integers

-8/5 is a ratio of integers so it is rational

Answer:

Yes.

Step-by-step explanation:

Rational numbers you can solve. They have a solution.

Answer:

A=9

Step-by-step explanation:

15÷(3+2)×3

=15÷5×3

=3×3

=9

Hope this helps.

Answer:

Step-by-step explanation:

Solution

2-1

The dominant strategy of Farmer Jones is to buy 10 cows.

To determine the dominant strategy of Farmer Jones, we need to compare the outcomes of his two options:

buying either 10 cows or 20 cows.

Let's analyze the potential outcomes for each case:

Buying 10 cows:

If Farmer Smith buys 10 cows:  

The total number of cows in the field would be 30, resulting in each cow producing $3000 of milk.

If Farmer Smith buys 20 cows:

The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.

Buying 20 cows:

If Farmer Smith buys 10 cows:

The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.

If Farmer Smith buys 20 cows:

The total number of cows in the field would be 50, resulting in each cow producing less than $2000 of milk (exact value unknown).

From the given information, we can observe that regardless of the strategy chosen by Farmer Smith, Farmer Jones is better off buying 10 cows.

In all scenarios, the milk production per cow is higher when Farmer Jones buys 10 cows compared to buying 20 cows.

Therefore, the dominant strategy for Farmer Jones is to buy 10 cows.

Formally, we can express this as follows:

For Farmer Jones, no matter the strategy chosen by Farmer Smith, buying 10 cows yields a higher milk production per cow compared to buying 20 cows.

Hence, Farmer Jones' dominant strategy is to buy 10 cows.

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Part A: Width = 9.3 ft; Height = 16.5 ft; Area =  153.45 sq ft.

Part B: Width = 38.25 ft ; Height = 91 ft; Area =  3503.5 sq ft.

Part A: conversion factor: 1 in = 3 ft

Width = 3.1 in

Width = 3.1 x 3

Width = 9.3 ft

Height = 5.5 x 3 ft

Height = 16.5 ft

Area = Width x Height

Area = 9.3 ft x  16.5 ft

Area = 153.45 sq ft

Part B: conversion factor: 1 in = 6.5 ft

Width = 8.5 in

Width = 8.5 x 6.5

Width = 38.25 ft

Height = 14 x 6.5 ft

Height = 91 ft

Area = Width x Height

Area = 38.5 ft x  91 ft

Area =  3503.5 sq ft

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Answer:

your slope intercept form is y=-5x+6

Step-by-step explanation:

you distribute the -5 and then you add 5 to your now positive 5 to isolate your y variable

then once you have the equation you start at your y-intercept (0,6) and then you go up and or down 5 then you move to the left one because you have a negative slope

Nate and lane share a 18-ounce bucket of clay. by the end of the week, Nate has used 1 6 of the bucket, and lane has used 2 3 of the bucket of clay. Therefore, there are 3 ounces of clay left in the bucket.

To find the number of ounces left in the bucket, we need to subtract the amounts used by Nate and Lane from the total capacity of the bucket.

Nate has used 1/6 of the bucket, which is (1/6) * 18 ounces = 3 ounces.

Lane has used 2/3 of the bucket, which is (2/3) * 18 ounces = 12 ounces.

To find the remaining clay in the bucket, we subtract the total amount used from the total capacity:

Remaining clay = Total capacity - Amount used

Remaining clay = 18 ounces - (3 ounces + 12 ounces)

Remaining clay = 18 ounces - 15 ounces

Remaining clay = 3 ounces

Therefore, there are 3 ounces of clay left in the bucket.

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Answer:

(x² - 7)(x² - 4)

Step-by-step explanation:

We can actually factor this the same way we would solve a normal quadratic equation.  We will end up with the factored terms have squares of x instead of just x.

x⁴ - 11x² + 28

= x⁴ - 4x² - 7x² + 28

= x²(x² - 4) - 7(x² - 4)

= (x² - 7)(x² - 4)

Answer:

it will rain 2 rains a day so if 1 month it will convert to 30 days and divide all of it so the answer its:132 all of the rain in 1 month hope it helpsss

Answer:

40%

Step-by-step explanation:

There are 5 options to roll: 1, 2, 3, 4, and 5.

This means you have a 1 out of 5 chance of rolling each number.

This question is asking for 1 AND 2, not just one number. So, we have a 2 out of 5 chance of rolling that, because 2 options are acceptable instead of just one number.

I'm not sure which form you are looking for, but 2 out of 5 is the same as saying 2/5. Most probability solutions are wanted as a percentage. To find that just solve 2/5, which is 0.4. Move the decimal to the right twice, and that is a 40% chance.

C. the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible.An unbounded problem is one for which the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible.

An unbounded problem is one for which the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible. This means that there may be more than one combination of decision variables that will maximize or minimize the objective, and there may not be exactly one solution that will result in the maximum or minimum objective value.

An unbounded problem is one for which the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible. This means that the problem has no finite upper or lower limit and is not subject to any specific constraints. As a result, there may be more than one combination of decision variables that will maximize or minimize the objective. In addition, there may not be exactly one solution that will result in the maximum or minimum objective value, as the solution set can be infinite. Thus, it is important to keep in mind that an unbounded problem has no specific solution and that different combinations of decision variables can result in the same objective value.

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There are 11 ways to choose 10 coins from a piggy bank containing 100 identical pennies and 80 identical nickels.

To determine how many ways there are to choose 10 coins from a piggy bank containing 100 identical pennies and 80 identical nickels, you need to use combinations with repetition.

Since there are two types of coins (pennies and nickels), we can use the formula:

C(n + r - 1, r)

where n represents the number of types of coins (2 in this case), and r represents the number of coins we want to choose (10 in this case).

So, the formula becomes:

C(2 + 10 - 1, 10) = C(11, 10)

Calculating the combination, we get:

C(11, 10) = 11! / (10! * (11 - 10)!) = 11

Therefore, there are 11 ways to choose 10 coins from a piggy bank containing 100 identical pennies and 80 identical nickels.

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Answer:

(x-3)^3

Step-by-step explanation:

\(= x^3-9x^2+27x-27 \\ =(x − 3) (x² + 3x + 9) − 9x (x - 3) \\ =(x − 3) · (x² + 3x + 9 − 9x) \\ =(x-3)·(x²-6x+9) \\ =(x − 3) · (x − 3)^2 \\ = {(x - 3)}^{3} \)

Or Apply cube of difference rule

\({x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} \)

Answer:

\((x-3)^3\)

Step-by-step explanation:

Given polynomial:

\(x^3-9x^2+27x-27\)

Given (x - 3) is a factor of the polynomial, divide the polynomial by the factor using long division to find the other factor:

\(\large \begin{array}{r}x^2-6x+9\phantom{)}\\x-3{\overline{\smash{\big)}\,x^3-9x^2+27x-27\phantom{)}}}\\{-~\phantom{(}\underline{(x^3-3x^2)\phantom{-b0000000)}}\\-6x^2+27x-27\phantom{)}\\-~\phantom{()}\underline{(-6x^2+18x)\phantom{0000.}}\\9x-27\phantom{)}\\-~\phantom{()}\underline{(9x-27)\phantom{}}\\0\phantom{)}\end{array}\)

Therefore:

\(x^3-9x^2+27x-27=(x-3)(x^2-6x+9)\)

Factor (x² - 6x + 9):

\(\implies x^2-6x+9\)

\(\implies x^2-3x-3x+9\)

\(\implies x(x-3)-3(x-3)\)

\(\implies (x-3)(x-3)\)

Therefore, the fully factored polynomial is:

\(\implies x^3-9x^2+27x-27=(x-3)(x-3)(x-3)\)

\(\implies x^3-9x^2+27x-27=(x-3)^3\)

The pile with the least number of dimes has 10 dimes

Given;

The stack's total number of dimes is 45.

Divided into stacks in a ratio of 1/6: 1/3: 1/4

we are adding 12 to the ratio to get the result.

12(1/6 : 1/3 : 1/4) = 2 : 4 : 3

or

The ratio 1/6: 1/3: 1/4 is also, when you multiply by 12, 2: 4 : 3.

2+4+3 = 9 and 45 / 9 equals 5. The pile with the least is 5*2 = 10 dimes.

The ratio with the lowest number of coins in a pile (Nl) is two.

Ni = 2/(2+4+3) × 45

Ni = 2/9 × 45

Ni = ten Dimes.

Consequently, the pile with the fewest dime has ten dimes.

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A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.

The standard normal distribution, often known as the z-distribution, is a special sort of ordinary distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.

Any normal distribution can be standardized through transforming its values into z scores. The Z scores indicate how many standard deviations a certain result is from the mean. All normal distributions are unimodal, symmetrically distributed, and have a bell-shaped curve. One such distribution is the common normal distribution. On the other hand, a normal distribution's mean and standard deviation can be any value. In the typical normal distribution, the mean and standard deviation remain constant.

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A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one.

A standard normal distribution, also known as the Z-distribution, is a specific type of normal distribution. It has a mean of zero and a standard deviation of one. The Z-distribution is often used in statistics to standardize data and calculate probabilities.

The standard normal distribution is represented by a bell-shaped curve that is symmetric around the mean of zero. The area under the curve represents the probability of a random variable falling within a certain range.

The Z-score, which measures the number of standard deviations a data point is from the mean, is commonly used in hypothesis testing and confidence interval calculations.

The standard normal distribution is widely used in various fields, including finance, psychology, and quality control.

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The domain of the function shown in the graph is the one in option A:

6 ≤ k ≤ 11

The domain of a function y = f(x) is the set of the inputs of the function. To identify the domain in a graph, we need to look at the horizontal axis (also called the x-axis).

On the graph we can see that it starts at x = 6 with a closed dot, and it ends at x = 11 also with a closed dot.

That means that these values belong to the domain, so we can write the domain as follows:

Domain = 6 ≤ k ≤ 11

(notice that the variable in the horizontal axis is k).

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