How are the graphs of the functions f(x) = . 16and g(x) = 3/64 related?
The functions f(x) and g(x) are equivalent.
The function g(x) increases at a faster rate.
The function g(x) has a greater initial value.
The function g(x) decreases at a faster rate.

Option-A is correct that is has a mean of 0 and standard deviation of 1 is the standardized form of the normal distribution.

Given that,

We have to find what is the standardized form of the normal distribution.

We know that,

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

Therefore, Option-A is correct that is has a mean of 0 and standard deviation of 1 is the standardized form of the normal distribution.

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False. We do not always evaluate just the specific result obtained in an experiment.

In scientific experiments, we do not just evaluate the specific result obtained in the experiment. Instead, we evaluate the entire experimental design, including the methods used, the sample size, and the statistical analysis.

For example, suppose a researcher conducts an experiment to test a new drug's effectiveness in treating a particular disease. If the result of the experiment shows that the drug is effective, the researcher cannot simply conclude that the drug works based on this one result. Instead, the researcher must evaluate the experimental design to ensure that the result is reliable and valid.

This evaluation includes examining the study's methods to determine if they are appropriate and if the sample size is large enough to produce meaningful results. It also involves statistical analysis to assess the strength of the relationship between the treatment and the outcome and to determine if the result is statistically significant.

Therefore, evaluating just the specific result obtained in an experiment is not sufficient. We must also consider the experimental design, methods used, sample size, and statistical analysis to draw valid and reliable conclusions from the experiment.

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The correct statement is: The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change in a linear function represents how the dependent variable (in this case, height) changes with respect to the independent variable (time). To find the rate of change in this scenario, we can calculate the slope of the line that goes through the given points (2, 3) and (4, 6).

The slope of a line is determined by the change in the y-values divided by the change in the x-values. In this case, the change in y is 6 - 3 = 3 inches, and the change in x is 4 - 2 = 2 years.

Therefore, the rate of change is 3 inches / 2 years = 1.5 inches per year. This means that for every additional year of growth, the plant's height increases by an average of 1.5 inches.

Now, let's analyze the given statements:

1. The rate of change of a linear function is always the same.

  This statement is true. In a linear function, the rate of change (slope) remains constant throughout the entire graph.

2. The rate of change of a linear function always increases as the input increases.

  This statement is not necessarily true. The rate of change can be positive or negative, depending on whether the line slopes upward or downward.

3. The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

  This statement is true. We calculated the rate of change to be 1.5 inches per year.

4. The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

  This statement is not necessarily true. The rate of change may vary depending on the specific section of the graph being considered. However, we only calculated the rate of change between 2 and 4 years, so we cannot determine the rate of change over a larger time frame based on this information.

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Answer:

7.5 x 10⁵

Step-by-step explanation:

2.5x10^3)(3x10^2)= 750000

move decimal all the way to the left with one # in front of your decimal

The statement is true. If a sequence {an} satisfies the condition an > 0 and lim n→∞ (an + 1)/an < 1, then the limit of the sequence as n approaches infinity, lim n→∞ an, is equal to 0.

To prove the statement, we use the limit comparison test. Let's assume that lim n→∞ (an + 1)/an = L, where L < 1. Since L < 1, we can choose a positive number ε such that 0 < ε < 1 - L. Now, there exists a positive integer N such that for all n ≥ N, we have (an + 1)/an < L + ε. Rearranging the inequality, we get an + 1 < (L + ε)an.

Now, let's consider the inequality for n ≥ N:

an + 1 < (L + ε)an < an.

Dividing both sides by an, we get (an + 1)/an < 1, which contradicts the given condition. Hence, our assumption that lim n→∞ (an + 1)/an = L is incorrect. Therefore, the only possible limit for the sequence {an} as n approaches infinity is 0, and hence the statement is true.

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Hana can put 4 fruits in each bowl. We can solve the given problem by finding the highest common factor using prime factorization.

The Highest Common Factor (HCF) of two numbers is the largest possible number that divides both numbers equally.

There are various methods for calculating the highest common factor between two numbers. The prime factorization method can be used to quickly determine the HCF of two or more numbers.

Examine the many attributes and components of HCF to learn more about it. Find the solutions to questions like what is the highest common factor for a collection of integers, how to quickly calculate the highest common factor, how to compute HCF using the prime factorization, and more to learn more fascinating details about them.

We found that the Highest common factor is 4

then 8 melons can be placed in 2 bowl having 4 melons in each bowl

12 pears can be placed in 3 bowls having 4 pears in each bowl

and lastly, 24 apples can be placed in 6 bowls having 4 apples in each bowl.

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Answer:

D.76

Step-by-step explanation:

First, go 2x4x2 for the bottom, and the top of it

Then, for both sides go 5x4x2

Then, for the other sides go 2x5x2

After that, add all of the numbers after you do the equation.

Answer:

10x+2

Step-by-step explanation:

(3x+5)+(7x-3)

Combine like terms

3x+7x +5-3

10x+2

Answer:

12

Step-by-step explanation:

Because if you do the equation right and take out the x the answer will be 12

Reduced sample size is a result of a fall in predicted rate, an increase in the tolerated rate, and a rise in the allowable risk of estimating control risk too low.

Given that,

We have to find what impact does a larger acceptable risk of estimating control risk too low have on sample size in characteristics sampling.

The term "risk of over-reliance" refers to the "risk of estimating control risk too low" in characteristics sampling, and it relates with the so-called 

Reduced sample size is a result of a fall in predicted rate, an increase in the tolerated rate, and a rise in the allowable risk of estimating control risk too low.

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Answer:  If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.

Step-by-step explanation:

Answer: A. V: x = –4; H: y = 4

Step-by-step explanation:

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

The peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:

y = |x - 16| + 24

This equation models the roof line of Terry's house.

To model the roof line of Terry's house, we can use the concept of absolute value. The equation for an absolute value function can be written as:

y = |x - h| + k

where (h, k) represents the vertex of the absolute value graph.

In this case, the peak of the roof line is at 24 feet. Since the width of the house is 32 feet, the vertex of the absolute value graph will be at the midpoint of the width, which is 16 feet. Therefore, h = 16.

Since the peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:

y = |x - 16| + 24

This equation models the roof line of Terry's house.

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Answer:

-4.1x - 6y + 3.6

Step-by-step explanation:

Distribute

-2 * 2.1x = -4.1

-2 *3y = -6y

-2 * -1.8 = 3.6

So that's the final answer

Answer: 21

Step-by-step explanation: 3 x 7 = 21

Answer:

21

Step-by-step explanation:

so 1 plus 2 which is 3 then do 3 plus 4 which is 7 so 3 times 7 is 21

Answer:

D) 7x-10y=-50

Step-by-step explanation:

y=7/10x+5

10y=7x+50

10y-7x=50

-7x+10y=50

Answer: 4c+32

Step-by-step explanation:

Answer:

-2x - 2y

Step-by-step explanation:

I am not sure what this is asking so here we go...

3(x + y ) - 5(x + y)

3x + 3y - 5x - 5y

-2x - 2y

Answer

Check Explanation

Explanation

The volume of cone is given as

Volume of a cone = ⅓ (πr²h)

where

r = radius of the cone

h = height of the cone

also note that radius of a cone = ½ (Diameter of the cone)

1) Dylan's cone

Radius = 4.5 inches

Height = 6 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 4.5² × 6)

= ⅓ (381.7035)

= 127.23 in³

2) Shane's cone

Radius = ½ (Diameter of the cone)

Diameter of the cone = 4.5 inches

Radius = ½ (4.5) = 2.25 inches

Height = 6 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 2.25² × 6)

= ⅓ (95.426)

= 31.81 in³

3) Jake's cone

Radius = ½ (Diameter of the cone)

Diameter of the cone = 6 inches

Radius = ½ (6) = 3 inches

Height = 4.5 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 3² × 4.5)

= ⅓ (127.2345)

= 42.41 in³

4) Grace's cone

Radius = 6 inches

Height = 4.5 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 6² × 4.5)

= ⅓ (508.938)

= 169.65 in³

Hope this Helps!!!

Answer: l = 2w + 5

Step-by-step explanation:

The length is five meters more than something. Since the 5 meters more than (addition) comes first, you know it's not going to be in parentheses and is instead going to precede the next term. Right now, your equation should look like

l = 5 + ?

Now, we get to "twice the width." This is the second term, the ? in the previous equation. Two times the width can just be written as 2w, so that's how you're going to express it. In the end, your final equation just comes out to

l = 5 + 2w

Answer:

Step-by-step explanation:

Let x be the amount at 5%

Then 2200 - x is the amount at 3%

The total interest is:

Find the amount at 3%:

Answer:

the answer is d street :)

The value of the constant k such that the function f(x) = k √x [0, 1] is a probability density function is k = 3/2.

To find the value of the constant k such that the function f(x) = k √x [0, 1] is a probability density function, we need to ensure that the integral of f(x) over the interval [0,1] equals 1.

So, we need to find k such that ∫0^1 k √x dx = 1.

Integrating, we get:
∫0^1 k √x dx = k(2/3)x^(3/2)|0^1 = k(2/3)

Setting this equal to 1, we have:
k(2/3) = 1

Solving for k, we get:
k = 3/2√1

Therefore, the value of the constant k such that the function f(x) = k √x [0, 1] is a probability density function is k = 3/2.

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The system of Linear Equation has Infinitely Many Solutions

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

To check the numebr we need to find the vaules of

a1/a2, b1/b2, c1/c2

a1/a2 = -3/-6 = 1/2

b1/b2 = 4/8 = 1/2

c1/c2 = -5/-10 = 1/2

Since the values of a1/a2 = b1/b2 = c1/c2

Theerefore, the system of Linear Equation has Infinitely Many Solutions

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Answer:

-20

Step-by-step explanation:

They're never going to be the same because Bob's Gym starts at a higher number and also increases by a larger number

Answer:

-20 months lol

Step-by-step explanation:

so the first step to this is to create and equation for each

for guys gym the equation would be 5x+100 and for bob's gym the equation would be 8x+160

because we want them to equal each other we write the equation

5x+100=8x+160 and solve for x to see how many months it will take for the gyms to charge the same amount

step 1 subtract 100 from each side

5x=8x+60

step 2 subtract 8 from each side

-3x=60

step 3 divide each side by -3

x=-20 it will take -20 week for them to charge the same amount

(i think there might of been a mistake in the question lol)

If the mean number of people who attended three basketball games was 8,242, that means the sum of the number of people who attended all three games is equal to 8,242 multiplied by the number of games, which is 3.

What does math mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Total attendance = mean attendance * number of games

Total attendance = 8,242 * 3

Total attendance = 24,726

So the total attendance at the three games is 24,726 people.

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Answer:

it takes 10 ones to make a ten.

Answer:

b = 4\(\sqrt{3}\) , c = 8

Step-by-step explanation:

using the tangent and cosine ratios in the right triangle and the exact values

tan60° = \(\sqrt{3}\) , cos60° = \(\frac{1}{2}\) , then

tan60° = \(\frac{opposite}{adjacent }\) = \(\frac{b}{4}\) = \(\sqrt{3}\) ( multiply both sides by 4 )

b = 4\(\sqrt{3}\)

then

cos60° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{4}{c}\) = \(\frac{1}{2}\) ( cross- multiply )

c = 4 × 2 = 8

To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.

By calculating,

600/10=60 and 59 students which is less than 10% of the population.

A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.

Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values

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Answer:

D. x = 5 or x = 10

Step-by-step explanation: