Cadan tracked the storage life of bunches of bananas in his store and the storage temperature of the area where
he displayed them. An approximate least-squares regression line was used to predict the storage life from a
given storage temperature.
Storage life (days)
11-
10+
9+
8+
7+
6+
5+
4+
3
2+
11
14 16 படம்
18
20
Storage temperature (degrees Celsius)

Answer:

1. m∠1 = 45°

2. m∠1 = 129°

3. m∠1 = 37°

4. m∠1 = 88°

m∠2 = 42°

m∠3 = 113°

5. m∠1 = 62°

m∠2 = 45°

m∠3 = 24°

6. m∠1 = 128°

m∠2 = 52°

m∠3 = 47°

m∠4 = 133°

7. m∠1 = 41°

m∠2 = 85°

m∠3 = 95°

m∠4 = 85°

m∠5 = 36°

m∠6 = 50°

m∠7 = 107°

8. x = 9°

10. x = 5°

11. x = 7°

Step-by-step explanation:

1. m∠1 = 180° - (76° + 59°)  = 45°

m∠1 = 45°

2. m∠1 = 62° + 67°  = 129°

m∠1 = 129°

3. m∠1 = 152° - 115° = 37°

m∠1  = 37°

4. m∠2 = 42° (Alternate angles)

m∠1 = 180° - (50° + m∠2) = 180° - (50° + 42°) = 88°

m∠1 = 88°

m∠3 = 180° - (25° + 42°) = 113°

m∠3 = 113°

5. m∠3 = 73° - 49° = 24°

m∠3 = 24°

m∠2 = 118° - 73° = 45°

m∠2 = 45°

m∠1 = 180° - (73° + 45°) = 62°

m∠1 = 62°

6. m∠2 = 52° (Alternate interior angles)

m∠1 = 180° - 52° = 128° (The sum of angles on a straight line)

m∠1 = 128°

m∠3 = 47° (Alternate interior angles)

m∠4 = 180° - 47° = 133° (The sum of angles on a straight line)

m∠4 = 133°

7. m∠3 = 95° (Vertically opposite angles)

m∠2 = m∠4  (Vertically opposite angles)

m∠3 + 95° + m∠2 + m∠4 = 360° (The sum of angles at a point)

2 × 95° + 2 × m∠2 = 360°

m∠2 = (360° - 2 × 95°)/2 = 85°

m∠2 = 85° = m∠4

m∠2 = 85°

m∠4 = 85°

m∠1 = 360° - (85° + 140° + 90°) = 41°

m∠1 = 41°

m∠5 = 180° - 144° = 36°

m∠5 = 36°

m∠6 = 180° - (m∠5 + m∠3) = 180° - (36 + 95°) = 50°

m∠6 = 50°

m∠7 = 360° - (m∠4 - 38° - (180° - m∠6)) = 360° - (85° - 38° - (180° - 50°)) = 107°

m∠7 = 107° (Sum of angles in a quadrilateral)

8. (10·x - 11)° + (3·x - 2)° + (3·x + 1)° = 180°

Using an online application, we have;

(6·x - 12)° = 180°

x = (180 + 12)°/6 = 32°

x = 32°

9. (3·x - 5)° + (7·x + 5)° + 90° = 180°

Using an online application, we have;

10·x = 180° - 90° = 90°

x = 90°/10 = 9°

x = 9°

10. 151° = (11·x - 1)° + (20·x - 3)°

151° = 31·x - 4°

31·x = 151° + 4° = 155°

x = 155°/31 = 5°

x = 5°

11. (14·x - 13)° = (4·x + 13)° + (6·x + 2)°

(14·x - 13)° = (10·x + 15)°

(14·x - 10·x)° = (13 + 15)° = 28°

4·x = 28°

x = 28°/4 = 7°

x = 7°

1. 45°

2. 51°

3. 37°

4. 88°, 42°, 113°

5. 62°, 45°, 24°

6. 128 degrees, 52°,, 47°, 43° 83°

7. I have no clue

8. 12

9. 9

10. 5

11. 7

By fitting a regression line to this data, we can calculate the values of b₀ and b₁. These coefficients can then be used to predict the total points earned for different values of hours spent studying.

To develop an estimated regression equation showing how total points earned is related to hours spent studying, we need to perform a regression analysis.

The estimated regression model will help us understand how changes in the independent variable (hours spent studying) impact the dependent variable (total points earned).

The estimated regression equation can be represented as:
Total Points Earned = b₀ + b₁ * Hours Spent Studying

In this equation, b0 represents the intercept (the estimated total points earned when no hours are spent studying), and b1 represents the slope (the estimated change in total points earned for each additional hour spent studying).

To obtain the estimated regression model, we would need data on the total points earned and the corresponding hours spent studying.

By fitting a regression line to this data, we can calculate the values of b₀ and b₁.

These coefficients can then be used to predict the total points earned for different values of hours spent studying.

For example, if the estimated intercept (b₀) is 60 and the estimated slope (b₁) is 2, the estimated regression model would be:
Total Points Earned = 60 + 2 * Hours Spent Studying

This means that for every additional hour spent studying, the total points earned is expected to increase by 2.

Please note that the actual estimated regression model will depend on the data used and the regression analysis performed. The values provided in this example are for illustration purposes only.

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Answer:

gemma gets 6 and zac gets 12

Step-by-step explanation:

zac gets double the about

Answer:

\(x=\frac{vw}{k-y}\)

Step-by-step explanation:

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

The equation 3x + 5 = 0 will have one solution. To determine the number of solutions for the equation 3x + 5 = 0, we can solve it by isolating the variable x.

First, we subtract 5 from both sides of the equation, which gives us 3x = -5. Then, by dividing both sides by 3, we find x = -5/3.

Upon solving, we obtain a specific value for x, namely x = -5/3, which satisfies the equation 3x + 5 = 0. Since there is a single value of x that makes the equation true, we conclude that there is one solution to the equation.

Hence, the equation 3x + 5 = 0 will have one solution.

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Answer:

the total weights in tons is 18

Step-by-step explanation:

The computation of the total weights in tons is shown below:

The weight of 8 cars would be

= 4,500 pounds × 8 cars

= 36,000 pounds

Now as we know that 1 ton = 2,000 pounds

So for 8 trucks it would be

= 36,000 pounds ÷ 2,000 pounds

= 18 tons

Hence, the total weights in tons is 18

Answer:

x intercept ( -40,0)

y intercept ( 0,15)

Step-by-step explanation:

The x intercept is where it crosses the x axis.  The y value is zero

(-40,0)

The y intercept is where it crosses the y axis.  The x value is zero

(0,15)

If the Uptown bank lends $22200 at 6.9% , then the amount of each monthly payment is (d) $530.57  .

The amount that Uptown bank will lend is = $22200 ,

the rate is = 6.9% ,since it is compounded monthly ,

So , monthly rate is = 6.9%/12 = 0.00575 ,

the time for which the car is financed is = 48 months ,

So , to calculate the monthly payment, we can use the formula:

⇒ P = (PV × r)/(1 - (1 + r)⁻ⁿ)

Where P is monthly payment, PV is present value of loan, r = monthly interest rate, and n = number of payments.

In this case, PV = $22200, r = 6.9%/12 = 0.00575 (monthly interest rate), and n = 48.

Substituting these values in monthly payment formula, we get:

⇒ P = (22200×0.00575)/(1 - (1 + 0.00575)⁻⁴⁸)

⇒ P ≈ $530.57

Therefore, the monthly payment will be approximately $530.57 . The correct answer is (d) $530.57 .

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The given question is incomplete , the complete question is

Uptown bank will lend you $22,200 at 6.9 percent, compounded monthly, to purchase a car. if you finance the car for 48 months, what will be the amount of each monthly payment?

(a) $593.60

(b) $549.08

(c) $578.38

(d) $530.57

The quotient rule can be proved by considering two functions, u(x) and v(x) such that their differential dy/dx = [v(x)du(x)/dx - u(x)dv(x)/dx] / [v(x)]^2.

Hence quotient rule is proved using differentials.

The derivative of a function y with respect to x:

dy/dx = lim(h->0) [f(x+h) - f(x)] / h

Now consider two functions, u(x) and v(x), and their ratio, y = u(x) / v(x).

Taking differentials of both sides:

dy = d(u/v)

Using quotient rule, we know that d(u/v) is:

d(u/v) = [v(x)du(x) - u(x)dv(x)] / [v(x)]^2

Substituting this into equation for dy:

dy = [v(x)du(x) - u(x)dv(x)] / [v(x)]^2

Dividing both sides by dx to get:

dy/dx = [v(x)du(x)/dx - u(x)dv(x)/dx] / [v(x)]^2

Next, we can substitute the definition of the derivative into this equation, giving:

dy/dx = lim(h->0) [v(x+h)du(x)/dx - u(x+h)dv(x)/dx] / [v(x+h)]^2

Now we can simplify the expression inside the limit by multiplying the numerator and denominator by v(x) + h*v'(x):

dy/dx = lim(h->0) [(v(x)+hv'(x))du(x)/dx - (u(x)+hu'(x))dv(x)/dx] / [v(x)+h*v'(x)]^2

Expanding the numerator and simplifying, we get:

dy/dx = lim(h->0) [(v(x)du(x)/dx - u(x)dv(x)/dx)/h + (v'(x)u(x) - u'(x)v(x))/[v(x)(v(x)+h*v'(x))]]

As h approaches zero, the first term in the numerator approaches the derivative of u/v, and the second term approaches zero. So we have:

dy/dx = [v(x)du(x)/dx - u(x)dv(x)/dx] / [v(x)]^2

which is the same as the expression we obtained using the quotient rule with differentials.

Therefore, we have proven the quotient rule using differentials.

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Answer:

I have shown all the explanation s on paper if you don't mind.

I hope it helps you ❤️❤️❤️

When performing hypothesis testing, the p-value is the test statistic that provides the most evidence against the null hypothesis.

A test statistic is a value computed from a sample that is used in a hypothesis test to assess the likelihood of the results occurring by chance alone, under the null hypothesis.

The test statistic is utilized to compute a p-value, which is compared to the predetermined significance level to decide whether or not to reject the null hypothesis. The smaller the p-value, the stronger the evidence against the null hypothesis.

Therefore, if the p-value is less than the predetermined significance level (typically 0.05), the null hypothesis is rejected in favor of the alternative hypothesis.

In summary, the p-value is the test statistic that provides the most evidence against the null hypothesis.

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Answer:

$24

Step-by-step explanation:

a= $30-$12 = 6 cup of coffee

= 18÷6

= 3 (price for a cup of coffee)

= 3×2

= $6

a= $30-$6

a= $24

The production level that will yield a maximum revenue is 6000 units, and the maximum revenue is $180,000. The company needs to charge $30 per unit to achieve maximum revenue. The company needs to charge $27.75 per unit to achieve maximum profit.

To find the production level that will yield a maximum revenue, we need to find the quantity demanded that corresponds to the maximum point of the revenue function. The revenue function is given by:

R(x) = xp(x) = -0.005x^2 + 60x

To find the maximum point of this function, we take its derivative and set it equal to zero:

R'(x) = -0.01x + 60 = 0

Solving for x,

x = 6000

Therefore, the production level that will yield a maximum revenue is 6000 units. To find the maximum revenue, we substitute this value of x into the revenue function:

R(6000) = -0.005(6000)^2 + 60(6000) = $180,000

To find the price the company needs to charge at this level, we substitute x = 6000 into the demand function:

p(6000) = -0.005(6000) + 60 = $30

To find the production level that will yield a maximum profit, we need to find the quantity demanded that corresponds to the maximum point of the profit function. The profit function is given by:

P(x) = R(x) - C(x) = (-0.005x^2 + 60x) - (-0.001x^2 + 18x + 4000)

= -0.004x^2 + 42x - 4000

To find the maximum point of this function, we take its derivative and set it equal to zero:

P'(x) = -0.008x + 42 = 0

Solving for x, we get:

x = 5250

Therefore, the production level that will yield a maximum profit is 5250 units. To find the maximum profit, we substitute this value of x into the profit function:

P(5250) = (-0.005(5250)^2 + 60(5250)) - (-0.001(5250)^2 + 18(5250) + 4000) = $57,750

To find the price the company needs to charge at this level, we substitute x = 5250 into the demand function:

p(5250) = -0.005(5250) + 60 = $27.75

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Answer:

7. m^21n^27

8. a^21b^28

Step-by-step explanation:

7. since m^7 raised to the 3rd power = m^( 7 * 3 ) = m^21

then  n^9 raised to the 3rd power = n^( 9 * 3 ) = n^27

your answer is m^21n^27

8. a^3 raised to the 7th power = a( 3 * 7 ) = a^21

b^4 raised to the 7th power = b( 4 * 7 ) = b^28

your answer is a^21b^28

hope this helps:)

Answer:

1 ÷ 6

Step-by-step explanation:

Let us assume the probability of the red marble for selecting it first time be x

And, it is to be done 3 times

that means

= 1 ÷ x × 1 ÷ x × 1 ÷ x

This equivalent to = 1 ÷ 216

And the 216 could be calculated by multiplied 6 3 times i.e.

= 6 × 6 × 6

= 216

So, the probability for selecting it for a first time is

= 1 ÷ 6

Answer:

B. 0.268

Step-by-step explanation:

if there are more than half boys then girls it as t be und .5 since that's half and .018 is to low

Answer:

t = 2 seconds

Step-by-step explanation:

Given that,

h = -16\(t^{2}\) + 64 t

where h and t have their usual meaning.

To determine the number of seconds required of the ball to hit the ground, differentiate the given equation with respect to t.

0 = -32 + 64

So that,

32t = 64

t = \(\frac{64}{32}\)

t = 2

The ball will hit the ground in 2 seconds.

Answer:

x = 55

Step-by-step explanation:

These are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

3x-65 = 2x-10

Subtract 2x from each side

3x-2x -65 = 2x-2x-10

x-65 = -10

Add 65 to each side

x-65+65 = -10+65

x = 55

Answer:

wdym? like the app remind?

Answer:

you have to download the remind app

Answer:

Step-by-step explanation:

Dk

Answer:

the answer is A

Step-by-step explanation:

to find the function of the ordered pairs, the first number (X) each of the pairs need to be the same, and the (y) or second numbers all need to be different.

like

for B- (1,2) (7,9) (5,8) (1,7) - for it to be a function all the first numbers would have had to be 1 or all them should have been the same first number.

for A- (3,3) (3,2) (3,1) (3,0)- its a function because the first numbers are all the same- all 3s- and the second numbers are all different.

hope this helped!

Based on proportions, the numbers of students in the senior form and junior form are 615 and 885, respectively.

Proportion refers to the equation of two ratios.

Proportion is a fractional value depicted using ratios, percentages, fractions, and decimals.

The percentage of senior form students in the school = 41%

The percentage of junior form students = 59% (100% - 41%)

The additional percentage of junior over senior students = 18% (59% - 41%)

The additional number of junior form students over the seniors = 270

Proportionately, if 18% = 270, the total number of students (both junior and senior) = 1,500.

Therefore, the number of senior and junior students is as follows:

Check:

The difference in the numbers = 270 (885 - 615)

Thus, using proportions, we can state that there are 1,500 students in the school, consisting of 615 seniors and 885 juniors.

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Answer:

5-mile

Step-by-step explanation:

In order to calculate the distance between the park and the school, which is marked by the x in the picture attached we need to use the Pythagorean theorem. This equation is the following

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

where a is the 3 miles east and b is the 4 miles south ... now we can plug in these values and solve the equation.

\(3^{2} +4^{2} = c^{2}\)  ... square both the 3 and the 4

\(9 + 16 = c^{2}\)   ... add the two values

\(25 = c^{2}\)  ... square root both sides

\(\sqrt{25} = c\)

5 = c

Finally we can see that there is a 5-mile distance between the park and the apartment

The given function f(x) can be expressed as (x-2)(x^4+2x^3+12x^2+24x+32)/(x-1)(x-2)(x+4). As f(2)=-3.6667, it means that the numerator (x-2)(x^4+2x^3+12x^2+24x+32) evaluates to a negative value and the denominator (x-1)(x-2)(x+4) evaluates to a positive value at x=2. This implies that (x-2) term in both numerator and denominator cancel out leaving the sign of f(x) to be solely determined by the remaining terms. Hence, we can conclude that at x=2, f(x) is negative because the numerator is negative and denominator is positive.

To understand the meaning of f(2)=-3.6667, we first need to evaluate the given function f(x) at x=2. So, we have f(2) = 2^2 - 5(2) + 8(2) - 8 = -3.6667. This means that at x=2, the function f(x) has a negative value. However, this doesn't give us any information about the numerator and denominator of f. To find out more about the numerator and denominator, we need to factorize the given function as shown above.

Now, we can see that the numerator has a factor of (x-2) which cancels out with the (x-2) factor in the denominator. Hence, at x=2, we can ignore this factor and look at the remaining terms. As the numerator evaluates to a negative value and the denominator evaluates to a positive value at x=2, we can conclude that f(x) is negative at x=2.

In conclusion, the value of f(2)=-3.6667 tells us that at x=2, the function f(x) has a negative value. Further analysis of the function by factorizing it reveals that at x=2, the numerator of f(x) is negative and the denominator is positive. Hence, we can conclude that the function f(x) is negative at x=2 because the numerator is negative and the denominator is positive.

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9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

The sides of an isosceles triangle are equal to each other in length.

  x = 6

Answer:

I'm pretty sure the answer to the 1st question is 2.46 and the answer to the 2nd question is just 15. (I'm sorry if I'm wrong!)

When the histogram of a given income distribution is positively skewed that means mean is larger than median.

When the histogram of a given income distribution is positively skewed, it implies that the tail of the distribution is longer on the right side, indicating that there are a few high-income outliers that pull the mean towards the right side.

As a result, the mean of the distribution will be greater than the median. The median, on the other hand, is the middle value of the data set when arranged in order from lowest to highest, and it is less influenced by outliers than the mean.

Therefore, the median will be closer to the center of the distribution and likely to be smaller than the mean in a positively skewed income distribution.

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Answer: See below

Step-by-step explanation:

The general transformation equation for an absolute value function is

y=a | x−h |+k.

f(x)=|x+4|

Horizontal translation 4 units left (positive value, move left)

f(x)=|x|-4

Vertical translation down 4 units (negative k value, move down)

f(x)=|x-4|

Horizontal translation 4 units right (negative value, move right)

f(x)=|x|+4

Vertical translation up 4 units (positive k value, move up)