Please help me solve the question in the above attachment.​

The value of the standard error of the estimate is 6.5141.

Given :

the estimated regression equation is y = 7.6 + 0.9x

we need to find the value of the standard error of the estimate.

Regression equation ;

A regression equation is used in stats to find out what relationship, if any, exists between sets of data.

Standard error :

The standard error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation.

here n = 5 and k = 2

σ = \(\sqrt{127.3/3}\)

= 6.5141.

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Full question:

the estimated regression equation is y = 7.6 + 0.9x . a. what is the value of the standard error of the estimate (to decimals)?

Answer:

200.96 (pi)= 631.33

200.96. (3.14)=631.01

Step-by-step explanation:

when you use (pi) the answer is 631.33

but if you use (3.14) the answer is 631.01

that's mean than the answer change

Answer:

6

Step-by-step explanation:

We can look that AB=BC=CD=18/3=6

So, AB = 6

Answer:

Step-by-step explanation:

6....

For a decorative object as circular mirror, the area of piece of decorative contact paper that Araceli cut for the back of the circular mirror is equals to 38.534 square inches.

Area of a circle geometry is defined as pi(π) times the square of radius of circle, A = πr², where r is radius of circle.

Araceli glued has a ribbon and decorative contact paper for decoration of a circular mirror.

Length of ribbon = 22 inch

It is around the circular mirror like circumference. So, circumference of circle = 22 inch

Let the radius and area of circular mirror be r and A. As we know circumference of circle, C = 2πr

where r --> radius of circle

π--> math constant and π = 3.14

=> 22 inch = 2×3.14 × r

=> \(r = \frac{22}{6.28}\)

= 3.50318 ~ 3.5 inch

Now, she used decorative contact paper to cover the back of the mirror. Area of piece of decorative contact paper that she cut for the back of the circular mirror is equals to the area of circular mirror. So, using the formula of area of circle is

A = πr² = 3.14 ( 3.5)²

= 38.5340 inch²

Hence, required area value is 38.534 inch².

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Hi! I believe your answer is 80 newborn babies. To find the number of boys, divide 48 by 3 (since it is for every 3 girls) and you'll get 16. Next, multiply 16 and 2 (for every 2 boys) and you'll get 32. Lastly, add 48 and 32 and you'll get the number of newborn babies in the nursery (80). I hope this helps you! Good luck and have a great day. ❤️✨

Number of total newborn babies = 80

A ratio can be defined as the relationship or comparison between two numbers of the same unit to check how bigger is one number than the other one.

Given,

Total number of girls = 48

For every 3 girls, there are 2 boys.

Ratio of girls to boy = 3/2

Let there are x boys,

then,

48/x = 3/2

3x = 96

x = 32

Number of boys = 32

Total newborn babies = Number of girls + number of boys

                                     = 48 + 32 = 80

Hence, 80 newborn babies are in nursery.

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The equation in point slope form and standard form are as follows:

The line passes through (2, -1) and (8, 4). The equation of the line in point slope form and standard form can be represented as follows;

Therefore, in point slope form,

y - y₁ = m(x - x₁)

where

Therefore,

slope = m = 4 + 1 / 8 - 2

m = 5 / 6

Hence, using (2, -1)

y + 1 = 5 / 6(x - 2)

In standard form,

y + 1 = 5 / 6 x - 10 / 6

y - 5 / 6 x = - 10 / 6 - 1

y - 5 / 6 x = - 8 / 3

multiply through by 6

6y - 5x = - 16

Therefore,

- 5x + 6y = - 16

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The sample size is 96.

The range of values that we observe in our sample and for which we anticipate finding the value that accurately reflects the population is referred to as a confidence interval.

The margin of error is a statistic that describes how much random sampling error there is in survey results.

The confidence interval is,

C = 95% = 0.95

The margin of error is,

E = 10

The population standard deviation is,

σ = 40

The formula for sample size is:

n = ( (  Z × σ ) / E )²

Area = ( 1 + c )/2 = ( 1 + 0.95)/2 = 1.95 / 2 = 0.975

From the z table, the p-value is 1.96.

sample size n = ( ( 1.96 × 50 ) / 10 )²

n = ( 98 / 10 )²

n = ( 9.8 )²

n = 96.04

n ≈ 96

Therefore, the required sample size is 96.

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Answer:

Refer to the step-by-step

Step-by-step explanation:

Since ∠1 and ∠2 are alternate exterior angles, m∠2=108°

Based on the information provided about the scatterplot, we can draw a conclusion by analyzing the data points and their correlation with individual's weight and time it takes to raise their pulse rate to 140 beats per minute.

Step 1: Observe the scatterplot and identify the patterns or trends in the data.

Step 2: Compare the o's (females) and the +'s (males) to see if there are noticeable differences or similarities in the data.

Step 3: Determine if there is a positive, negative, or no correlation between weight and time taken to reach 140 beats per minute.

Step 4: Based on the observations, draw a conclusion about the most accurate statement regarding the data. Unfortunately, I cannot see the scatterplot itself, so I am unable to provide you with the most accurate conclusion.

However, using these steps, you can analyze the scatterplot and determine the correct conclusion.

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Answer:

x = 14

y = 4

z = 3

Step-by-step explanation:

let's start with the top of the first fraction. to combine an exponent that has its own exponent, you multiply the exponents together. when it's outside a set of parentheses like that, it applies to everything in the parentheses.

(a⁻³c²)⁻⁴        multiply -4 by both exponents

a¹²c⁻⁸

now we can clean up the bottom of that fraction.

(ab)⁻¹c⁻⁹

to clean it up, we distribute the -1 through the parentheses by multiplying it by the pre-existing exponents (which are 1)

a⁻¹b⁻¹c⁻⁹

now we can simplify that fraction as a whole. remember, when we divide numbers, we subtract their exponents.

  a¹²c⁻⁸  

a⁻¹b⁻¹c⁻⁹

we can simplify a and c, so we can subtract their exponents from each other

a¹² a ⁻¹ = a¹³

c⁻⁸ c⁻⁹ = c¹ or c

since there is no simplifying b, it remains the same

a¹³c

b⁻¹

because the second fraction is already clean, we can now move on and combine the fractions. remember, when multiplying, we add the exponents.

a¹³c    ×      a    

b⁻¹     ×   b⁻³c⁻²

a¹³ × a¹ = a¹⁴

b⁻¹ × b⁻³ = b⁻⁴

c¹ × c⁻² = c³

we now have:

a¹⁴c³

b⁻⁴

all we do now is move b to the top and switch the negative to a positive

a¹⁴c³b⁴

lmk if i need to explain it differently :)

The vertex form of the quadratic equation that represents the height, h, of the projectile after t seconds is given byy = -(x - 6)² + 64.

An alien from the planet Tellurango, shoots a flaming projectile straight up into the air from the edge of a cliff that is 28 meters high.The height of the projectile, h, after t seconds is modeled by a quadratic equation. The projectile reaches a maximum height of 64 meters after 6 seconds. Therefore, we can say that the vertex of the quadratic equation is (6,64).

Let's write the quadratic equation in the vertex form:y = a(x - h)² + ky = a(x - 6)² + 64

Here, the vertex of the quadratic equation is (h, k) = (6, 64)We have to find the value of "a". The value of "a" can be determined using the given points which are (0,28), (6,64).

The equation of the quadratic equation can be written as follows:y = a(x - h)² + ky = a(x - 6)² + 64.

Using the vertex form of the quadratic equation, we can say that the projectile reaches a maximum height of 64 meters after 6 seconds and the height of the cliff is 28 meters.

Hence, the equation can be written as follows:28 = a(0 - 6)² + 6428 = 36a + 6436a = - 36a = -1Therefore, the vertex form of the quadratic equation that represents the height, h, of the projectile after t seconds is given byy = -(x - 6)² + 64Answer: y = -(x - 6)² + 64.

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Answer:

Step-by-step explanation:

Let number of adults be a and children be c

Then we have equations

From the first equation we get a = 301 - c, we substitute a in the second equation:

Then finding the value of a:

Answer:

To find the Taylor polynomial t3(x) for the function f(x) = xe^(-7x) centered at the number a = 0, we will use the formula for the nth-degree Taylor polynomial:

t_n(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + ... + f^n(a)(x-a)^n/n!

First, let's find the first few derivatives of f(x):

f(x) = xe^(-7x)

f'(x) = e^(-7x) - 7xe^(-7x)

f''(x) = 49xe^(-7x) - 14e^(-7x)

f'''(x) = -343xe^(-7x) + 147e^(-7x)

Next, let's evaluate these derivatives at a = 0:

f(0) = 0

f'(0) = 1

f''(0) = -14

f'''(0) = 147

Now we can substitute these values into the formula for t3(x):

t3(x) = f(0) + f'(0)x + f''(0)x^2/2! + f'''(0)x^3/3!

t3(x) = 0 + 1x - 14x^2/2 + 147x^3/6

t3(x) = x - 7x^2 + 49/2 x^3

Therefore, the third-degree Taylor polynomial for f(x) centered at a = 0 is t3(x) = x - 7x^2 + 49/2 x^3.

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Answer:

option D. 10

Step-by-step explanation:

\(\frac{34}{85} = \frac{4}{x}\\\\34 \times x = 4 \times 85\\\\x = \frac{340}{34} = 10\)

Answer:

x = 10

Step-by-step explanation:

\( \dfrac{34}{85} = \dfrac{4}{x} \)

Cross multiply.

34x = 4 × 85

34x = 340

Divide both sides by 34.

x = 10

Answer: are u looking for the roots ??? of the answer

Step-by-step explanation:

Answer:

4'5

Step-by-step explanation:

The two numbers are 7/6 and 5 when the sum of two numbers is 3 more than four times the first number.

Let's call the two numbers x and y, where x is the first number and y is the second number.

The problem gives us two equations that relate the two numbers:

\(x + y = 3 + 4x\\y - x = 2y - 10\)

We can substitute the expression for y from equation 1 into equation 2:

\(y - x = 2(3 + 4x) - 10\)

Expanding the right side and simplifying, we get:

\(y - x = 6 + 8x - 10\\y - x = 8x - 4\)

Adding x to both sides:

\(y = 9x - 4\)

Substituting this expression for y into equation 1:

\(x + (9x - 4) = 3 + 4x\)

Expanding and simplifying the right side:

\(10x - 4 = 3 + 4x\)

Subtracting 4x from both sides:

\(6x - 4 = 3\)

Adding 4 to both sides:

\(6x = 7\)

Dividing both sides by 6:

\(x = 7/6\)

Substituting this value of x back into the expression for y:

\(y = 9x - 4 = 9 * (7/6) - 4 = 63/6 - 4 = 9 - 4 = 5\)

So the two numbers are 7/6 and 5.

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The numerical value in this sentence, "the average price of a house in the new subdivision is $257,000" describes a Population Parameter.

A population parameter is a figure that describes a fact about a whole population. In this sentence, we can see that the figure quoted is representative of an entire population. A sample statistic, on the other hand, describes something about a part of a population.

So, for the statement above, we can see that the average price is representative of all the houses in the new subdivision. Thus, the figure is a population parameter.

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Answer :

A prepaid electricity meter is a Kw/hr (Kilowatt Hour) meter, measuring electrical consumption. The main difference is that this Kw/hr meter counts backwards as the electricity is consumed and has a a relay (an automatic switch) which disconnects the power when the Kw/hr reading on the meter reaches zero.

Answer:

6

Step-by-step explanation:

S = Spanish book

M = Math book

H = History book

These are the different ways in which he can organize the book on his bookshelf.

SMH

SHM

MSH

MHS

HSM

HMS

There are 6 ways.

The distance and time are not proportional and it is not uniform speed or velocity

When an object travels an equal amount of distance in an equal amount of time then it is moving with a uniform speed. It is a scalar quantity. Its unit is m s - 1 . For example, a truck moving on a highway covers equal distances in equal time intervals regardless of the direction of motion of the truck.

In the table above,

The interval of time between 6 and 8 is 2 and the

interval of time between 8and 12 is 4. Though the interval in time are equal but the distances are not equal. This means that the speed between 8 and 12 is higher to the speed it uses between 6 and 8

speed = distance/time

= 2/5 = 0.4km/min

speed = distance/time

= 4/5 = 0.8km/min

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Answer:y =3 x=1 hope this helps :)

Step-by-step explanation:

The value of γ is greater than 1 for any v > 0, greater than 10 for v > 0.995c, and greater than 100 for v > 0.99995c.

To determine for what speed (in terms of c) the value of γ is greater than 1, 10, and 100, we'll use the formula for the Lorentz factor (γ):
γ = 1 / √(1 - v²/c²)
where v is the speed and
c is the speed of light.

(a) For γ > 1:
Since γ is always greater than 1 for any speed v greater than 0, we can say that γ is appreciably greater than 1 for any v > 0.

(b) For γ > 10:
We need to solve the equation 10 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 100 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/100 = 99/100.
So, v/c = √(99/100), which implies v > 0.995c for γ > 10.

(c) For γ > 100:
Similar to (b), solve the equation 100 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 10000 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/10000 = 9999/10000.
So, v/c = √(9999/10000), which implies v > 0.99995c for γ > 100.

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To be 95% positive that the population proportion is within 0.02 percentage points, we would need to survey at least 2,450 drivers.

To determine the minimum sample size needed to estimate a population proportion with a certain level of confidence and a given margin of error, we use the following formula:

n = [Z² * p * (1-p)] / E²

where:

- n is the sample size

- Z is the Z-score corresponding to the desired level of confidence

- p is the estimated population proportion

- E is the desired margin of error

Assuming we do not have any prior information about the population proportion, we can use a conservative estimate of 0.5 for p, which maximizes the sample size needed. Also, for a 95% confidence level, the Z-score is approximately 1.96.

Plugging in the values, we get:

n = [1.96² * 0.5 * (1-0.5)] / 0.02²

n = 2.45 * 10³

Rounding up to the nearest whole number, we get:

n = 2,450

Therefore, we would need to survey at least 2,450 drivers to be 95% confident that the population proportion is estimated to within 0.02.

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Answer:

7

Step-by-step explanation:

a^2 + b^ = c^2

x^2 + 24^2 = 26^2

x^2 = 100

x=10

Can i have brainliest please

Answer:

x = 10

Step-by-step explanation:

This is a right triangle problem

use the Pythagorean Theorem

a^2 + b^2 = c^2

x^2 + 24^2 = 26^2

x^2 + 576 = 676

Subtract 576 from both sides

x^2 = 100

Take the square root of both sides

x = 10

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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