Slope intercept form
WILL MARK BRAINLIST

The estimated variance of B is 0.000014 and the estimated variance of a is 26.792.

To estimate the variances of the parameter estimates in the linear regression model, we can use the following formulas:

Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)

Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)

Given the following values:

EX = 228

EY = 3121

EXY₁ = 38297

EX² = 3204

Exy = 3347-60

Ex? = 604-80

Ey? = 19837

n = 20

We can substitute these values into the formulas to estimate the variances.

First, let's calculate the estimate for B:

B = (n * EXY₁ - EX * EY) / (n * EX² - (EX)²)

= (20 * 38297 - 228 * 3121) / (20 * 3204 - (228)²)

= 1.331

Next, let's calculate the variance of B:

Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)

= (1 / [20 * 3204 - (228)²]) * (3121² - 2 * 1.331 * 38297 + 1.331² * 3204)

= 0.000014

Now, let's calculate the estimate for a:

a = (EY - B * EX) / n

= (3121 - 1.331 * 228) / 20

= 56.857

Next, let's calculate the variance of a:

Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)

= (1 / 20) * (19837 - 56.857 * 3121 - 1.331 * 38297)

= 26.792

To know more about variance,

brainly.com/question/28426562

#SPJ11

Answer:

The real question is why do the people in math problems have an unnecessary amount of objects? also the answer is capricorn

Step-by-step explanation:

The amount of each payment, given the amount the car was purchases for and the equal payments stipulation, is $ 27. 66.

First, find the total amount that was financed by the equal payments :

= $ 337 - 38

= $ 299

The total amount paid after 12 months is :

= 299 x 11 % x 1 year

= $ 32. 89

The total amount Carl would have paid in 12 months is :

= 299 + 32. 89

= $ 331. 89

The total monthly payments is :

= 331. 89 / 12

= $ 27. 66

Find out more on payments at https://brainly.com/question/30694115

#SPJ1

a. the current in the lightbulb is approximately 0.688 A. b.  the energy delivered to the lightbulb filament is approximately 18.48 Joules. c. the energy delivered to the lightbulb filament is approximately 18.48 Joules.

(a) To find the current in the lightbulb, we can use the formula I = Q/t, where I represents the current, Q is the charge, and t is the time. Given that the charge passing through the filament is 1.54 C and the time is 2.24 s, we can substitute these values into the formula:

I = 1.54 C / 2.24 s

I ≈ 0.688 A

Therefore, the current in the lightbulb is approximately 0.688 A.

(b) To find the number of electrons that pass through the filament in 5.31 s, we can use the relationship between charge and the elementary charge e. The elementary charge is the charge carried by a single electron, which is approximately 1.6 x 10^(-19) C.

Number of electrons = Q / e

Number of electrons = 1.54 C / (1.6 x 10^(-19) C)

Number of electrons ≈ 9.625 x 10^18 electrons

Therefore, approximately 9.625 x 10^18 electrons pass through the filament in 5.31 s.

(c) The potential energy delivered to the lightbulb filament can be calculated using the equation U = QV, where U represents the energy, Q is the charge, and V is the voltage. Given that the charge passing through the filament is 1.54 C and the battery supplies a voltage of 12.0 V, we can substitute these values into the formula:

U = 1.54 C * 12.0 V

U ≈ 18.48 J

Therefore, the energy delivered to the lightbulb filament is approximately 18.48 Joules.

The average power delivered can be calculated using the formula P = U / t, where P represents power and t is the time. Since the time is not provided in this case, we are unable to calculate the average power without additional information.

Please note that in the original question, there seems to be a mixture of different exercises and hints. If you have any specific exercise or question you would like me to help with, please let me know.

Learn more about filament here

https://brainly.com/question/13649179

#SPJ11

Answer:

The slope of f(x) is equal to the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

Step-by-step explanation:

F(x) is already given to you on the graph. You need to plot the x and g(x) graph. (remember g(x) is just a fancy way of saying y)

Once this line is plotted, you will see that f(x) and g(x) are parallel to one another. G(x) is below f(x), so its y-intercept is lower.

formula p= 100 I/RT

100×1050÷7.5×4

105000÷30

p= sh 3500

Answer:

13

Step-by-step explanation:

Answer:

B. 6

Step-by-step explanation:

have a good rest of ur day :)

Answer:

c

Step-by-step explanation:

When the number of volunteers(x axis) is 10, the number of houses built is 1.

divide 600 people /10 people per house= 60 houses

Answer:

Step-by-step explanation:

Answer:

] 14/3 ; ♾ [

Step-by-step explanation:

3x-5>9

3x>9+5

3x>14

x>14/3

wich make it ] 14/3 ; ♾ [

when three times a certain number is subtracted from 5 the result is more than 9 find the number.

Let us assume :

The number be x

Data :

A number is 3 times = 3x

Subtracted from 5

The result = 9

Henceforth, the equation we got is :

Transposing 9 to the other side

Hence, the value of x is 14/3 respectively

There are approximately 78.471 kilograms of calcium in 173 pounds. Calcium is essential for various bodily functions, and it is important to maintain adequate intake through a balanced diet and consultation with a healthcare professional.

To convert 173 pounds of calcium to kilograms, we can use the conversion factor 1 lb = 0.45359237 kg. Therefore, 173 pounds of calcium can be converted to kilograms as follows:

173 lb x 0.45359237 kg/lb = 78.471 kg

So, there are approximately 78.471 kilograms of calcium in 173 pounds.

Calcium is an essential mineral for the human body, playing a crucial role in maintaining healthy bones, teeth, muscles, and nerves. It also helps in blood clotting and the release of hormones and enzymes. Calcium can be found in various food sources such as dairy products, leafy green vegetables, nuts, and fish.

It is important to maintain adequate calcium intake in our diet to prevent deficiencies and related health problems. For adults, the recommended daily intake of calcium is between 1000 to 1200 mg. However, excessive intake of calcium can also lead to health issues such as kidney stones, so it is important to consult a healthcare professional to determine the appropriate amount of calcium for an individual's needs.

To learn more about kilograms

https://brainly.com/question/28844288

#SPJ4

Answer:

13.24 ft

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have:

Sinα=opposite/hypotenuse

α=62°

opposite=x

hypotenuse=15 ft

2. When you substitute the values into  Sinα=opposite/hypotenuse, you obtain:

Sinα=opposite/hypotenuse

Sin(62°)=x/15

3. You must clear "x", as below:

x=(15)(Sin(62°))

x=13.24 ft

The answer is. 13.24 ft

Rounding the result to the nearest whole number, we find that approximately 24,108 bacteria are expected to be present after 7 hours.

To solve this problem, we can use the exponential growth formula for population growth:

N(t) = N₀ * e^(kt),

where:

N(t) is the population at time t,

N₀ is the initial population,

e is the base of the natural logarithm (approximately 2.71828),

k is the growth rate constant,

t is the time in hours.

We are given the initial population N₀ = 70 and the population after 4 hours N(4) = 360.

Using this information, we can solve for the growth rate constant k:

N(4) = 70 * e^(4k) = 360

Dividing both sides of the equation by 70:

e^(4k) = 360/70

Taking the natural logarithm (ln) of both sides:

4k = ln(360/70)

Simplifying:

k = ln(360/70) / 4

Now that we have the value of k, we can find the population N(7) after 7 hours:

N(7) = 70 * e^(7k)

Substituting the value of k:

N(7) = 70 * e^(7 * ln(360/70) / 4)

Using a calculator, we can evaluate this expression:

N(7) ≈ 70 * e^(7 * ln(360/70) / 4) ≈ 70 * 345.828 ≈ 24107.96

For more question on whole number click on

https://brainly.com/question/9879870

#SPJ11

The equation of the line in slope intercept form is y = 4/3x - 10/3.

What is a line in slope-intercept?

The equation of a line with a slope of m and a y-intercept of (0, b) is y = mx + b. To graph a slope-intercept line, do the following: On the coordinate plane, draw the y-intercept. Find another point on the line using the slope.

We have,

the line that passes through  (-3,-6) and slope m = -2/3.

Now using the slope and the point (-3, -6) the y-intercept is

m = -2/3.

y = mx + b

-6 = -2/3(-3) + b

6 = 6/3 + b

By further calculation,

b = 6 - 2

b = 4

By writing the equation in slope intercept form

y = mx + b

y = -2/3x - 4

Therefore, the equation of the line in slope intercept form is y = -2/3x - 4.

To learn more about the line in slope-intercept visit,

brainly.com/question/25722412

#SPJ4

Answer:

Im in 7th grade and im in 12 too :) I turn 13 in June 21st

Step-by-step explanation:

The answer is 1/12. 5+3+4=12 So 1/12 propabilty.

P.S. My favorite color is red

If this was helpful, please mark it as brainliest! :D

Answer:

the answer will be close to 50% so maybe like 48% or 49%

Step-by-step explanation:

The reasoning behind this is that the are 11 marbles total and half of 11 is 5 and a half. There are 5 red marbles which means that the chances are close 50% but because 5 isn't exactly half of 11 this means that your answer will need to be close to 50% but not exactly 50% which is why i gave the choices 49% or 48%.

(a) The value of st from the second constraint into the first constraint is yt = ct + (ct+1 - ct) = 2ct + ct+1, (b) The constraint for ct+1 is yt - 2ct, (c) u(ct) = ln(ct) + βln(yt - 2ct), (d) u'(ct) = 1/ct - 2β/(yt - 2ct), (e) 1/ct = 2β/(yt - 2ct), (f) The intuitive interpretation of the Euler Equation is that it represents the optimal intertemporal consumption choice, (g) β = 0.9524.

(a) To combine the two constraints, we can substitute the value of st from the second constraint into the first constraint:

yt = ct + st
yt = ct + (ct+1 - ct) = 2ct + ct+1

(b) Solving the constraint for ct+1, we get:

yt = 2ct + ct+1
ct+1 = yt - 2ct

(c) Plugging the constraint into ct+1 in the utility function, we have:

u(ct) = ln(ct) + βln(yt - 2ct)

(d) Differentiating the utility function with respect to ct, we get:

u'(ct) = 1/ct - 2β/(yt - 2ct)

(e) To derive the Euler Equation, we set the derivative of the utility function with respect to ct equal to 0:

0 = 1/ct - 2β/(yt - 2ct)

Simplifying, we have:

1/ct = 2β/(yt - 2ct)

(f) The intuitive interpretation of the Euler Equation is that it represents the optimal intertemporal consumption choice. It states that the marginal benefit of consuming one additional unit today (1/ct) is equal to the discounted marginal benefit of consuming one additional unit tomorrow (2β/(yt - 2ct)).

(g) If rho=0.05 and the real interest rate is 3%, we can calculate the value of β:

β = 1/(1+rho)

= 1/(1+0.05)

= 0.9524

To determine whether ct or ct+1 is larger, we need more information.

To know more about intertemporal visit:

https://brainly.com/question/32540714

#SPJ11

Answer:

y = 3x - 8

Step-by-step explanation:

m = slope

slope = y2 - y1 / x2 - x1

4 - 1 / 4 - 3 = 3/1 = 3

m = 3

b = y-intercept

b = -8

y = mx + b

y = 3x + (-8)

y = 3x - 8

The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

To learn more about : radius

https://brainly.com/question/24375372

#SPJ11

the radius of the circle is approximately 16 meters (rounded to two decimal places).

To find the radius of the circle, we can use the formula that relates the arc length, the central angle, and the radius of a circle.

The formula is:

Arc Length = radius * Central Angle

Given that the arc length is 14 m and the central angle is 7/8 radians, we can substitute these values into the formula:

14 = r * (7/8)

To solve for the radius (r), we can multiply both sides of the equation by 8/7:

14 * (8/7) = r

Simplifying the right side of the equation:

r ≈ 16

To know more about equation visit:

brainly.com/question/29538993

#SPJ11

Answer:

This graph is NOT a function.

Step-by-step explanation:

A graph is a function only if there is exactly one y-value for every x-value. In this case, there are many x-values that have two y-values, making this graph not a function.

Let me know if this helps!

For the given points B(-1, -10) is reflected over the line y = x , the coordinates of B' is given by ( -10 , -1).

As given in the question,

Given points :

B (-1, -10)

Reflected over the line y = x

Reflected represents the transformation which shows the movement of original points to the new location. There are different types of transformation such as reflection, rotation, dilation , and translation.

Reflection represents the flipping of the points over the line y =x.

B(x, y) and B'(y, x).

For the given points B (x, y) = (-1,-10) is reflected over the line y =x , the coordinates of B'(y, x) = ( -10 , -1).

Therefore, for the given points B(-1, -10) is reflected over the line y = x , the coordinates of B' is given by ( -10 , -1).

Learn more about points here

brainly.com/question/1590611

#SPJ1

Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

Answer:

n=10.3

3n-30.9=0

Step-by-step explanation:

Answer:

n= -10.3

Step-by-step explanation: I took the test

Answer:

26.5%

Step-by-step explanation:

20% of the 35% who enjoy running do not enjoy cycling.

30% of the 65% who do not enjoy running do not enjoy cycling.

So we have:

\(.20(.35) + .30(.65) = .70 + .195 = .265\)

So 26.5% of the people do not enjoy cycling.

Answer:

Everyone says something different but I say 35.5

Step-by-step explanation:

the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis

To determine if there is evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans, we can perform a hypothesis test. Let p1 be the proportion of Democrats who believe in the conspiracy theory, and p2 be the proportion of Republicans who believe in the conspiracy theory.

Let's set up the hypotheses:

Null hypothesis (H0): p1 - p2 = 0 (There is no difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)

Alternative hypothesis (Ha): p1 - p2 ≠ 0 (There is a difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)

We will use a two-sample proportion test to test these hypotheses. The test statistic for this test is given by:

\(\[ Z = \frac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})(\frac{1}{n_1}+\frac{1}{n_2})}} \]\)

where:

- \(\( \hat{p}_1 \)\) and \(\( \hat{p}_2 \)\) are the sample proportions of Democrats and Republicans who believe in the conspiracy theory, respectively.

- n₁ and n₂ are the sample sizes of Democrats and Republicans, respectively.

- \(\( \hat{p} \)\) is the overall proportion of belief in the conspiracy theory, calculated as the total number of believers divided by the total sample size.

The p-value is the probability of observing a test statistic as extreme or more extreme than the one calculated from the sample data, assuming the null hypothesis is true.

Given the sample data:

Democrats: n₁ = 788 and \(\( \hat{p}_1 = \frac{137}{788} \)\)

Republicans: n₂ = 866 and \(\( \hat{p}_2 = \frac{105}{866} \)\)

Let's calculate the test statistic and the p-value:

Step 1: Calculate \(\( \hat{p} \)\):

Total number of believers = 137 + 105 = 242

Total sample size = 788 + 866 = 1654

\(\( \hat{p} = \frac{242}{1654} \)\)

Step 2: Calculate the test statistic (Z):

\(\[ Z = \frac{\frac{137}{788} - \frac{105}{866}}{\sqrt{\frac{242}{1654} \cdot \left(1 - \frac{242}{1654}\right) \cdot \left(\frac{1}{788} + \frac{1}{866}\right)}} \]\)

≈ -1.258

Step 3: Calculate the p-value using the standard normal distribution table for a two-tailed test.

To calculate the p-value, we need to find the probability that a standard normal distribution is less than or greater than the absolute value of the test statistic. Since the alternative hypothesis is two-sided (p1 ≠ p2), we will calculate the p-value as twice the probability of the test statistic being greater than the absolute value of the calculated z-value.

Using a standard normal distribution table or a statistical software, we find that the p-value is approximately 0.208.

Conclusion:

Since the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis. There is insufficient evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans.

Learn more about test statistic here

https://brainly.com/question/28957899

#SPJ4

Hello,

Let's say y= log(x) in base 10.

\(\\y=log(x)\\\\log^2(x)-3log(x)-4=0\\\\y^2-3y-4=0\\\\\Delta=9+16=5^2\\\\y=4\ or\ y=-1\\\\log(x)=4 \Longrightarrow x=10^4\\\\or\\\\log(x)=-1 \Longrightarrow x=10^{-1}=0.1\\\)

Answer:

4b +3r

The student did not subtract both terms in the second parentheses

Step-by-step explanation:

(6b + 4r) – (2b + r)

Distribute the minus sign to all terms in the second parentheses

6b + 4r – 2b - r

Combine like terms

6b -2b   +4r -r

4b +3r

The student did not subtract both terms in the second parentheses

Answer:

4b+3r

Step-by-step explanation:

(6b+4r)-(2b+r)

Distribute the negative symbol across the second set of parenthesis.

6b+4r-2b-r

Add like terms

4b+3r

Error: the student added r instead of subtracting it. They most likely only distributed the negative to the 2b.

Answer: - 27 meters

Step-by-step explanation:

1.     86 m   Start at 86 meters

2.  +35 m    Go up another 35 meters

3. -148 m   Go down 148 meters.

4.  - 27 meters  Net change in elevation

The net result is a negative 27 meters in elevation from the start of the hike.

Answer:

----------------------

AAS congruence theorem states that:

We can see two angles and the non-included side are marked as congruent:

Hence the triangles are congruent:

Therefore the correct choice is C.