Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Confidence interval is the statistical range in which an unknown parameter is likely to fall. Here the confidence interval is (32.82, 38.38). So the choice 3 is correct.

Equation for confidence interval is,

 CI = X± Z × σ/√n

CI is the confidence interval

X is the mean

Z is the Z-value from the table for the chosen confidence level

σ is the standard deviation

n is the number of samples

Here X = 35.6 , σ = 8.2, n=18

Confidence level is 85%, Z-value corresponding to 85% confidence is 1.4395

CI = 35.6 ± 1.4395 × 8.2/√18

    = 35.6 ± 2.782

So the range will be (36.5- 2.782, 36.5 + 2.782)

                                  = ( 32.82, 38.38)

So the confidence interval is (32.82, 38.38)

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Answer: The least number that can be made using each digit exactly once is 123456789. The value of 4 is greater than the value of 6 because in the decimal system (base 10), the position of a digit determines its value. The leftmost digit represents the greatest place value (ones, tens, hundreds, etc.) and each subsequent digit represents a smaller place value. In the number 123456789, the 4 is in the thousands place, which has a greater value than the 6, which is in the tens place.

Therefore, the 4 has a greater value than the 6 because it represents a larger place value.

Step-by-step explanation:

The required values of a and b are approximately 15.4 and 14.6, respectively, and Michael's speed is approximately 14.6 meters per second.

Following the given condition
Race 1: Michael wins by 1 second, so time is given as:
\((50/b)=(50/a)+1\)

Race 2: Michael wins by 0.1 seconds over 47 meters, so time is given as:
\(47/a+0.1=50/b\)

From Race 1, we get \(a=b+50/b-50.\)

Substitute the value of a in terms of b into the Race 2 equation:
\(\dfrac{47}{b+50/b-50}+0.1-\dfrac{50}{b}\)

Now, solve for b:

\(b\approx14.6\\\)   (discard the negative solution as speed cannot be negative)

Now, calculate the value of a using the equation from Race 1:
\(a=b+50/b-50 \approx15.4\)

Therefore, the values of a and b are approximately 15.4 and 14.6, respectively, and Michael's speed is approximately 14.6 meters per second.

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\(\sin( x )=\cfrac{\stackrel{opposite}{6}}{\underset{hypotenuse}{10}} \implies \sin( x )= \cfrac{3}{5} \implies x =\sin^{-1}\left( \cfrac{3}{5} \right)\implies x \approx 36.87^o\)

Make sure your calculator is in Degree mode.

Answer:

x = 36.87

Step-by-step explanation:

sin^-1 (x) = 6/10

36.869

The measure of angle x = 36.87

Hope this helps! :)

Ram's original salary was rs. 7500 per month before it decreased by 4 percent to rs. 7200 per month.

The given question is based on the concept of percentage decrease. Here, Ram's salary has decreased by 4 percent and reached rs. 7200 per month. So, we have to find the original salary before the decrease. We can set this up as a simple equation, solving it as follows:

Let's denote Ram's original salary as 'x'.

According to the question, Ram's salary decreased by 4 percent, which means that Ram is now getting 96 percent of his original salary (as 100% - 4% = 96%).

This is formulated as 96/100 * x = 7200.

We can then simply solve for x, to find Ram's original salary. Thus, x = 7200 * 100 / 96 = rs. 7500.

So, Ram's original salary was rs. 7500 per month before the 4 percent decrease.

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Answer:

29.5

Step-by-step explanation:

Triangle area by vertices : abs (x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃ (y₁ - y₂)) / 2

A = abs (1*(-3 - -4) + -4*(-4 - 3) + 5*(3 - -3)) /2

   = abs ( 1 + 28 + 30) /2

   = 59/2

   = 29.5

The required value of h(0) = 5 in the given function is represented in the shown graph.

A graph can be defined as a visual representation or a diagram that represents data or values.

The function is given in the represented graph of g(x)

We have to determine the value of h(0) of the given function in the graph

According to the given graph, we can see that when the value of variable x is 0 and the value of variable y is 5, the domain of the provided function h(x) is 5. This implies that h(0) = 5.

Therefore, the required value of h(0) = 5 in the given function is represented in the shown graph.

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Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.

No, dividing two polynomials may not result in another polynomial. It can produce a rational function.

A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.

If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.

A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.

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Answer:

the length of DE is 1/2*9 = 4.5

Answer:

The red 8

Step-by-step explanation:

Hope this helps

Answer:

37*

Step-by-step explanation:

Find 37* on the scale.

Answer:

37°Celsius I think

Answer:

y+6=\(\frac{-4}{3}\)(x-6)

Step-by-step explanation:

Slope intercept form is y-y1=m(x-x1).

So in this case, the y1 value is -6, the x1 value is 6, and the slope (m) value is \(\frac{-4}{3}\).

Let x represent the number of winter olympics held in North America.

Let y represent the number of winter olympics held in Europe.

Let z represent the number of winter olympics held in North Asia.

The Winter Olympics have been held a total of 21 times on the continents of North America, Europe, and Asia.

This means that

x + y + z = 21

The number of European sites is 5 more than the total number of sites in North America and Asia.

This means that

y = x + z + 5

There are 4 more sites in North American than in Asia.

This means that

x = z + 4

These are the equations. We would solve simultaneously

The olympics was held 2 times in North America, 13 times in Europe and 6 times in Asia

The statistical value describes a regression line fits the data points:

R-squared

What is Statistical Value?

When it is extremely unlikely that an observed event occurred by accident, it is deemed statistically significant. An observed event is considered statistically significant when its p-value is less than a certain cutoff, or level of significance.

The statistical value describes a regression line fits the data points is

R-squared

The statistical indicator of how closely the data resemble the fitted regression line is called R-squared. For multiple regression, it is sometimes referred to as the coefficient of determination or the coefficient of multiple determination.

R-squared = Explained variation / Total variation

R-squared is always between 0 and 100%

The better the model matches your data, in general, the greater the R-squared.

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False. The statement is incorrect. The sign of the b1 value in a linear equation does not determine the positivity or negativity of the y-intercept.

In a linear equation of the form y = b0 + b1x + e, where b0 is the y-intercept and b1 is the coefficient of the x variable, the sign of the b1 value is related to the slope of the line. A negative b1 value indicates a negative slope, meaning the line is decreasing as x increases. However, it does not provide information about the positivity or negativity of the y-intercept. The y-intercept (b0) represents the value of y when x is equal to zero. Its sign is independent of the b1 value. The y-intercept can be positive, negative, or zero, depending on the specific values of b0 and the relationship between x and y. For example, consider the linear equation y = 2 - 3x. Here, the b1 value is -3, indicating a negative slope. However, the y-intercept is 2, which is positive. This means that when x is zero, the value of y is 2.

Similarly, if we have y = -4 + 2x, the b1 value is positive (2), representing a positive slope. However, the y-intercept is -4, which is negative. In this case, when x is zero, y is -4. Therefore, the sign of the b1 value does not determine the positivity or negativity of the y-intercept. The y-intercept is determined by the specific value of b0 in the linear equation.

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Answer:

The length of the sides are 8 , 32 , 36

Step-by-step explanation:

Ratio of sides = 2  : 8 : 9

The sides are 2x , 8x , 9x

Perimeter of triangle = 76 inches

2x+ 8x + 9x  = 76

              19x = 76

                 x = 76/19

x = 4

2x = 2*4 = 8

8x = 8 * 4 = 32

9x = 9 * 4 = 36

Answer:

TIMES THEM BOTH AND DIVIDE BY 2

Step-by-step explanation:

Answer:

Negative 80 x + 28 y minus 56

4 (negative 20 x + 7 y minus 14)

The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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The solution for x is 7 and the graph is attached

From the question, we have the following parameters that can be used in our computation:

8x - 53 = 3

Add 53 to both sides of the equation

So we have

8x = 56

Divide both sides by 8

So, we have the following representation

x = 7

Hence, the solution is 7

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Complete question

Solve for x.

8x-53 = 3

Graph the solution.

Answer:

16 photos are aerial

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

.44444.. = 4/9

0.nnnnnnnn.... = n/9

0.mnmnmnmnmn.... = mn/99

and so on

Answer:

Calm down take a deep breath

No matter how hard things are never hurt yourself

Think about all the blessings you have

Step-by-step explanation:

I'm praying for you! Have a great day

Answer:

Hello,

None !!!

Step-by-step explanation:

\(f(x)=x(x+5)(x+2)\\=x(x^2+5x+2x+10)\\\\=x^3+7x^2+10x\\\)

Answer:

a=37

Step-by-step explanation:

22+15=37

Answer:   The solution is: " a = 37 " .

____________________________

Step-by-step explanation:

____________________________

Given the equation:

 a − 15 = 22  ;  Solve for "a" .

Add "15" to each side of the equation;

to isolate "a" on one side of the equation;  

  and to solve for "a" :

a − 15 + 15 = 22 + 15 ;

  to get:

____________________________  

          →   a = 37 .

____________________________

Hope this answer—and explanation—is helpful!

 Wishing you the best!

____________________________

The product of 4y3)(2y2 3y5 is 48y6. The expression can also be written as 4y3 × 2y2 × 3y5, which yields the same result. By multiplying each factor in the expression, the product of 4y3)(2y2 3y5 is 48y6.

The first part of this expression is 4y3. This can be simplified to 12y3.

The second part of the expression is 2y2 3y5. This can be simplified to 2y2 + 3y5, which is equal to 5y7.

Multiplying 12y3 and 5y7 yields 48y6.

The product of 4y3)(2y2 3y5 is 48y6.

The expression 4y3)(2y2 3y5 is composed of two factors, 4y3 and 2y2 3y5. After simplifying the factors, the expression can be written as 12y3 × 5y7. When multiplying these two factors, the product is 48y6. This means that the product of 4y3)(2y2 3y5 is 48y6. The expression can also be written as 4y3 × 2y2 × 3y5, which yields the same result. By multiplying each factor in the expression, the product of 4y3)(2y2 3y5 is 48y6.

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(-6,2)

Inbox me on fb for more help with math same name as my brainly

Answer:

(-6,2)

Step-by-step explanation:

Answer:

2 face cards

Step-by-step explanation:

By definition, there are 12 face cards (Kings, queens, and jacks) and 36 numbered cards (2's through 10's) in a standard deck of 52 cards.  Aces are not considered face cards (no face on the card).

The ratio of face cards in a full deck is (12/52) or slightly over 23%.

The likelihood of a face card in a hand of 8 cards is:

(8 cards)*(12 face cards/52 cards) = 1.85 cards.  We need to round to the nearest whole card, so the expected number of face cards in a hand of 8 is 2 cards.  

The answers are (a) 1.5 orders (b) 0.5  (c)-1

a. Probability that a faxed order will arrive within the next 9 minutes:

Since there are 24 hours in a day, and we receive an average of 20 orders every two hours, this means we receive an average of 10 orders per hour. We can assume that orders arrive uniformly throughout the hour. To find the probability that a faxed order will arrive within the next 9 minutes, we can convert the time to hours. 9 minutes is \(\frac{9}{60} = 0.15\) hours. The probability of an order arriving within the next 9 minutes is equal to the average rate of orders per hour multiplied by the time interval:

Probability = (10 orders/hour) * (0.15 hours) = 1.5 orders.

b. Probability that the time between two faxed orders will be between 3 and 6 minutes. Again, we need to convert the time interval to hours. 3 minutes is \(\frac{3}{60}=0.05\) hours, and 6 minutes is \(\frac{6}{60} = 0.1\).

The probability of the time between two orders being between 3 and 6 minutes can be calculated as the difference between the probabilities of an order arriving within the next 3 minutes and an order arriving within the next 6 minutes:

Probability = (10 orders/hour)  (0.1 hours) - (10 orders/hour) (0.05 hours)

= 1 - 0.5

= 0.5.

c. Probability that 12 or more minutes will elapse between faxed orders:

Similar to the previous calculations, we convert the time to hours. 12 minutes is \(\frac{12}{60} = 0.2\) hours.

The probability that 12 or more minutes will elapse between faxed orders can be calculated as the probability of no orders arriving within the next 12 minutes:

Probability = 1 - (10 orders/hour) (0.2 hours)

= 1 - 2

= -1.

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Answer:

-21

trust me

Answer: -21, check attached picture for steps

Step-by-step explanation: