If the mean of the set of data
5,17,19,14,15,17,7,11,16,19,5,5,10,13,14,2,17,11,x is 61.14, what
is the value of x?

a) The utility depends on both health (H) and consumption of other goods (X).

b) The coefficient is negative, indicating a negative relationship between two variables.

c) Health (H) is greater than zero, suggesting a positive value for health.

d) Health (H) is a function of a variable denoted as 'm'.

e) The variable 'm' is greater than zero and the coefficient is negative.

f) The product of two variables, 'm' and 'm', is negative.

a) The expression in (a) is reasonable as it acknowledges that utility is influenced by both health and consumption of other goods. It recognizes that happiness or satisfaction is derived not only from health but also from other aspects of life.

b) The expression in (b) suggests a negative coefficient and a negative relationship between the variables. This could imply that an increase in one variable leads to a decrease in the other. The reasonableness of this relationship would depend on the specific variables involved and the context of the theoretical framework.

c) The expression in (c) states that health (H) is greater than zero, which is reasonable as health is generally considered a positive attribute that contributes to well-being.

d) The expression in (d) indicates that health (H) is a function of a variable denoted as 'm'. The specific nature of the function or the relationship between 'm' and health is not provided, making it difficult to assess its reasonableness without further information.

e) The expression in (e) states that the variable 'm' is greater than zero and the coefficient is negative. This implies that an increase in 'm' leads to a decrease in some other variable. The reasonableness of this relationship depends on the specific variables involved and the theoretical context.

f) The expression in (f) suggests that the product of two variables, 'm' and 'm', is negative. This implies that either 'm' or 'm' (or both) are negative. The reasonableness of this expression would depend on the meaning and interpretation of the variables involved in the theoretical framework.

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The necessary condition to meet in order to use a normal distribution to model the sampling distribution of p^ is n×p and n×(1-p).

As per the question we have to determine the necessary condition that must be met in order to use a normal distribution to model the sampling distribution of p^.

In probability theory and statistics, the Normal Distribution, also called the Gaussian Distribution.

A large number of random variables are either nearly or exactly represented by the normal distribution.

The Normal Distribution is defined by the probability density function for a continuous random variable in a system.

Let us say, f(x) is the probability density function and X is the random variable.

Hence, it defines a function which is integrated between the range or interval (x to x + dx), giving the probability of random variable X, by considering the values between x and x+dx.

From the given information,

The required necessary condition is,

Both n×p and n×(1-p) to be at least 10.

Where, n is sample size and p is the probability of success.

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Answer:

What is the perimeter? 89 cm

Step-by-step explanation:

(35.2 + 11.9) + (35.2 + 12.7)

= 47.1 + 47.9

= 89 cm

Answer:

The percentage increase of the production expectation to 1 decimal place is 178.6%

Step-by-step explanation:

Here in this question, we are interested in finding the percentage increase in the production capacity of the hypothetical company;

We can make or have a formula for this to make our workings easier;

% increase = (new value - old value)/old value * 100%

From the question;

The old value is the former productive capacity which is 1.4 million

The new productive capacity is 3.9 million

Thus;

The percentage increase in the production capacity would be;

(3.9 million - 1.4 million)/1.4 million * 100%

= 2.5 million/1.4 million * 100% = 178.57%

But the question asks we should have our answer in one decimal place;

Thus; 178.57% becomes 178.6%

The value of a/b is 3/2

In this question, we have been given two similar triangles.

We need to find the value of ratio a/b

We know that the corresponding sides of similar triangles are in proportion.

So, for given similar triangles,

a/21 = b/14

a = b/14  * 21

a/b = 21/14

a/b = 3/2

Therefore, the value of a/b is 3/2

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Explanation

From the graph, we will have the table of values below.

We can then have the explicit formula as;

By observation, the explicit formula becomes

Answer:

Answer:

Infinite

Step-by-step explanation:

Let's assume that h=2

-9(2)+9(2)=0

-18+18=0

And if we assumed that h=9

Then: - 9(9)+9(9)=0

- 81+81=0

Thus, h can be any number

The claim that the population mean is less than 125 (Option E) would

the interval tends to refute.

The 90% confidence interval for the population mean is 135 to 160. This means that if we were to repeat the process of taking samples from the same population and constructing a 90% confidence interval, we would expect 90% of the intervals to contain the true population mean.

With this in mind, let's consider each claim:

A. The interval does not rule out the possibility that the population mean is more than 110, as 110 is less than the lower bound of the interval.

B. The interval does not rule out the possibility that the population mean is less than 150, as 150 is greater than the upper bound of the interval.

C. The interval does not rule out the possibility that the population mean is between 140 and 150, as both of these values fall within the interval.

D. The interval does not rule out the possibility that the population mean is more than 140, as 140 is less than the upper bound of the interval.

E. The interval refutes the claim that the population mean is less than 125, as 125 is less than the lower bound of the interval.

Therefore, the answer is (E) The population mean is less than than 125.

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Answer:

Region C Area = \(\pi (\frac{c}{2} )^{2} = \frac{\pi c^{2} }{8} \\\)

Region B Area = \(\pi (\frac{b}{2})^2 = \frac{\pi b^2}{8}\)

Region A Area = \(\pi (\frac{a}{2})^2 = \frac{\pi a^2}{8}\)

\(\frac{\pi c^2}{8} + \frac{\pi b^2}{8} = \frac{\pi a^2}{8}\)

(Now divide the whole equation by 8):

\(\pi c^2 + \pi b^2 = \pi a^2\)

(Now divide the whole equation by \(\pi\)):

\(c^2 + b^2 = a^2\)

This is what I have got up until but I don't know if that answers the actual question.

Hope it helps.

It is correct that the area of region A is equal to the sum of the area of region B and region C.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

Suppose the diameter of A, B and C will be a, b and c respectively.

As a result, the area of the semicircle is,

A = 1/2π(d/2)²

A = (π/8) d²

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides. In right angle triangle,

a² = b² +c²   ----(1)

The areas of regions A, B, and  C will be  (π/8) a²,  (π/8) b², and  (π/8) c² respectively.

Multiply (π/8) in equation 1 we get,

(π/8) a² = (π/8) b² +(π/8) c²

As a result,

area of region A=area of region B+ area of region C

Thus, it is correct that the area of region A is equal to the sum of the area of region B and region C.

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Answer:

10th term is the answer

Step-by-step explanation:

33-8= 25

25-8= 17

17-8= 9

9-8= 1

1-8= -7

-7-8= -15

-15-8= -23

-23-8= -31

-31-8 = -39

Paul must wait for approximately 7 months before he can buy the car from his dad.

To calculate the number of months Paul must wait, we can set up an equation. Let's assume the number of months Paul needs to wait is represented by 'm'. The value of the car after 'm' months can be calculated by multiplying the initial value ($28,000) by the depreciation factor. Since the car loses 3% of its value each month, the depreciation factor is (100% - 3%) or 97%. Therefore, the value of the car after 'm' months is given by:

Value after m months = $28,000 × (0.97)^m

Paul can buy the car when he has enough money in his account to match the depreciated value. The money in his account increases each month due to 1% interest. Therefore, the money in his account after 'm' months is given by:

Money in account after m months = $20,000 × (1 + 0.01)^m

To buy the car, the money in Paul's account should be equal to or greater than the depreciated value of the car. We can set up the equation:

$20,000 × (1 + 0.01)^m ≥ $28,000 × (0.97)^m

To solve this equation, we can divide both sides by $20,000:

(1 + 0.01)^m ≥ 1.4 × (0.97)^m

Now, we can take the logarithm of both sides to solve for 'm':

m ≥ log(1.4) / (log(1 + 0.01) - log(0.97))

Using a calculator, we find that m is approximately 7 months.

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The correct answer is that we cannot conclude that being able to read is beneficial for them as there can be various cause and effect relation.

A research is conducted to collect information about a specific topic for the purpose of study. A group of population is asked to fill a survey form or answer questions based on the research topic.

This data is collected and analyzed to get the required result.

Here, in this question kindergarten students are the population from whom data is collected . Here, the conclusion is that having the ability to read and write from before only doesn't means they will have academic intelligence later.

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She should order 8 large pizzas to serve 36 guests.

We know that two large pizzas serve 9 people. To determine the number of pizzas she should order to serve 36 guests, we can set up a proportion:

2 pizzas / 9 people = x pizzas / 36 people

Cross-multiplying, we get:

2 * 36 = 9 * x

72 = 9x

Dividing both sides of the equation by 9, we find:

x = 8

Therefore, she should order 8 large pizzas to serve 36 guests.

To serve 36 guests, she should order 8 large pizzas based on the information that two large pizzas serve 9 people.

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Answer:

-56

Step-by-step explanation:

That is because the 56 is below sea level, not above it, so it would be negative 56

Hope that helps!

-56ft

Since it is BELOW sea level it would be considered a negative number. If it were ABOVE sea level then it would be a positive number. Another way to think about this:

Above Sea Level = +

Below Sea Level = -

Hope this helps and have a nice day.

-R3TR0 Z3R0

Answer:

4d-16/1, 8d-32/2, 12d-48/3, etc.

Step-by-step explanation:

Just throw a denomiator under the expression and adjust the expression accordingly.

Answer: 1

Step-by-step explanation:

2+3 = 5

10 - 5 = 5

The x’s would be just 1 to make them equal since they don’t need to be multiplied

Answer:

wait what do you need help with

Step-by-step explanation:

Answer:

post another question and i will answer it

Step-by-step explanation:

where your question

Answer:

X is equal to 1.2

Step-by-step explanation:

6/5 equals 1.2

i don't have to sound rude but can i have brainliest please i need 4 more :')

Answer:

A

Step-by-step explanation:

This makes most sense. We could solve 6x+4=46

Subtract 4

6x=42

42/6=7

There were 7 packs of juice.

Explanation:

We have 5 slices shaded out of 8 total. Therefore, we have 5/8 = 0.625 = 62.5% of this figure is shaded.

Answer:

62.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Garden is in the shape of triangle.

\(Area of garden = \dfrac{1}{2}bh = \dfrac{1}{2}*10*6 = 5 *3 = 15 \ m^{2}\)

Drive way:

length = 4 + 10 = 14m

Width = 3 m

Area  = length * width = 14 * 3 = 42 sq.m

Perimeter of the property:

Length = 14 m

Width = 3 + 9 + 6 = 18 m

Perimeter = 2*(length + width) = 2*(14 + 18) = 2 * 32 = 64 m

The proof for congruent triangles is as follows.

What is congruent triangles?

Congruence of triangles: 2 triangles are same to be congruent if all 3 corresponding sides square measure equal and every one the 3 corresponding angles square measure equal in measure.

Main body:

SSS (Side-Side-Side)-

If all the 3 sides of 1 triangle are corresponding to the corresponding 3 sides of the second triangle, then the 2 triangles area unit aforesaid to be congruent by independent agency rule.

SAS (Side-Angle-Side)

If any 2 sides and also the angle enclosed between the perimeters of 1 triangle ar corresponding to the corresponding 2 sides and also the angle between the perimeters of the second triangle, then the 2 triangles ar aforementioned to be congruent by SAS rule.

ASA (Angle-Side- Angle)

If any 2 angles and therefore the facet enclosed between the angles of 1 triangle ar corresponding to the corresponding 2 angles and facet enclosed between the angles of the second triangle, then the 2 triangles ar aforesaid to be congruent by ASA rule.

AAS (Angle-Angle-Side)

AAS stands for Angle-Angle-Side. once 2 angles and a non-included facet of a triangle square measure adequate to the corresponding angles and sides of another triangle, then the triangles square measure aforementioned to be congruent.

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Answer:

A and C

Step-by-step explanation:

For every x value, there should be at most 1 y value.

B and D violate that constraint.

As per linear equation, within 2.5 months, Rusty's hair will grow over  \(\frac{5}{8}\) inches.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line."

Given, the growth rate of Rusty's hair is \(\frac{1}{4}\) inches per month.

Let, within 'x' months, her hair will grow \(\frac{5}{8}\) inches.

Therefore, x ×  \(\frac{1}{4}\)  =  \(\frac{5}{8}\)

⇒ x = ( \(\frac{5}{8}\) × 4)

⇒ x = 2.5

Therefore, within 2.5 months, Rusty's hair will grow over  \(\frac{5}{8}\) inches.

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