write the equation in slope intercept form for the line with the given slope that contains the given point l.
slope =-3;(-1,6)

The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16.


To find the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen, you need to subtract the sample mean of underclassmen from the sample mean of upperclassmen.

Sample mean of upperclassmen = 0.76
Sample mean of underclassmen = 0.60

Point estimate = Sample mean of upperclassmen - Sample mean of underclassmen
Point estimate = 0.76 - 0.60
Point estimate = 0.16


The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16, which indicates that on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours.

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Answer:

$8.78

Step-by-step explanation:

cost = 3.28(0.7) + 1.4(4.63)

= 2.296 + 6.482

= 8.778

= $8.78

Answer:

a

Step-by-step explanation:

edge 2020

The pair of vectors which are orthogonal to each other will be u = ⟨3, 4⟩ and v = ⟨4, –3⟩. Then the correct option is (a).

A vector is a quantity that possesses magnitude, direction, and adheres to the law of vector addition.

If two vectors are perpendicular to one another, we say that they are orthogonal.

In other words, the two vectors' dot product is zero.

Check first option, we have

u·v = ⟨3, 4⟩·⟨4, -3⟩

u·v = 12 - 12 = c (correct)

Check second option, we have

u·v = ⟨3, 4⟩·⟨–4, -3⟩

u·v = –12 -12 = -24 (incorrect)

Check third option, we have

u·v = ⟨-3, 4⟩·⟨4, -3⟩

u·v = –12 -12 = –24 (incorrect)

Check fourth option, we have

u·v = ⟨-3, -4⟩·⟨-4, -3⟩

u·v = 12 + 12 = 24 (incorrect)

Therefore, the correct option is (a).

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Answer:

1700 dollars

Step-by-step explanation:

First year is 1100  second is 1200 etc

   1100 + 6 (100) = 1700 per month

The domain of the function -2g(x) + f(x) is all real numbers (-∞, +∞).

To perform the function operation -2g(x) + f(x), we first need to substitute the given functions into the expression:

-2g(x) + f(x) = -2(x² - 3x + 2) + (2x + 5)

Next, we simplify the expression:

-2(x² - 3x + 2) + (2x + 5) = -2x² + 6x - 4 + 2x + 5

Combining like terms:

-2x² + 8x + 1

The resulting function is -2x² + 8x + 1.

To determine the domain of the function, we need to consider any restrictions on the values of x that make the function undefined. Since the given functions f(x) = 2x + 5 and g(x) = x² - 3x + 2 are both polynomial functions, their domain is all real numbers.

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Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

A scale model of a regulation-sized gymnasium that is 12 inches long would be 10 inches wide.

To determine the width of a scale model of a regulation-sized gymnasium, you need to determine the scale factor used to create the model. The scale factor is the ratio of the size of the model to the size of the actual object.

In this case, the length of the model is 12 inches, while the length of the actual gymnasium is 100 feet, or 1200 inches. So, the scale factor is: 12/1200 = 1/100.

To find the width of the model, you would multiply the width of the actual gymnasium, 80 feet, by the scale factor, 1/100. This gives you a width of:

80 × 1/100 = 0.8 feet = 10 inches.

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No, because 1 + 2 < 5 contradicts the triangle inequality therem (option C)

Explanation:

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side.

Given the 3 sides as: 1ft, 2 ft, 5 ft

Using the triangle inequality:

1 + 2 > 5

3 > 5 (this is false)

1 + 5 > 2

6 > 2 (this is true)

2 + 5 > 1

7 > 1 (this is true)

There is something else about the theorem, the sum of the two shorter sides should be greater than the sum of the longest side.

In our solution 1+2 > 5 which is false.

Hence, it is not possible to have a triangle with sides 1ft, 2ft and 5 ft because 1 + 2 < 5

The correct option: No, because 1 + 2 < 5 contradicts the triangle inequality therem (option C)

The equation that shows the correct relationship between the measures of the angles of the two triangles is;

Option D: The measure of angle BCA = The measure of angle C prime A prime B prime

We are told that Triangle ABC is transformed to triangle A′B′C′.

Now,  the triangle ABC and A'B'C' are similar triangles and we know that similar triangles angles are congruent. Thus;

From the given coordinates, we can say that;

∠BAC = ∠B'A'C'

∠ABC = ∠A'B'C'

∠ACB = ∠A'C'B'

Thus, the equation that shows the correct relationship between the measures of the angles of the two triangles is;

The measure of angle BCA = The measure of angle C prime A prime B prime

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The key attributes of linear functions are that they have a constant slope and a constant y-intercept. The domain and range of linear functions are all real numbers.

The key features of quadratic functions are that they have a parabolic shape and they have two roots. The domain and range of quadratic functions are all real numbers.

The key attributes of linear functions can be seen in their graph. A linear function graph is a straight line. The slope of the line tells us how much the y-value changes for every change in the x-value. The y-intercept tells us the value of y when x is 0.

The domain and range of linear functions are all real numbers. This means that the x-value and the y-value can be any real number.

The key features of quadratic functions can be seen in their graph. A quadratic function graph is a parabola. The parabola opens up or down depending on the coefficient of the x^2 term. The roots of the quadratic function are the points where the graph crosses the x-axis.

The domain and range of quadratic functions are all real numbers. This means that the x-value can be any real number, but the y-value cannot be less than or equal to 0.

The key attributes of exponential functions are that they have an exponential growth or decay rate and they have an initial value. The domain and range of exponential functions depend on the base of the exponent.

If the base of the exponent is greater than 1, then the function has an exponential growth rate. This means that the y-value increases rapidly as the x-value increases. If the base of the exponent is less than 1, then the function has an exponential decay rate. This means that the y-value decreases rapidly as the x-value increases.

The domain and range of exponential functions depend on the base of the exponent. If the base of the exponent is greater than 1, then the domain is all real numbers and the range is all positive real numbers. If the base of the exponent is less than 1, then the domain is all real numbers and the range is all real numbers less than or equal to 1.

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Answer:

3.1

Step-by-step explanation:

Answer:  see below

Step-by-step explanation:

3 Red balls and 4 Blue balls makes a total of 9 balls

 1st Draw                        2nd Draw                Outcome     Probability    

 Red: P(R) =  3/7            Red: P(R₂/R₁) =1/3      Red, Red       (3/7) x (1/3) = 1/7

 Red: P(R) =  3/7            Blue: P(B₂/R₁) =2/3     Red, Blue     (3/7) x (2/3) = 2/7

 Blue: P(B) =  4/7           Red: P(R₂/B₁) =1/2      Blue, Red      (4/7) x (1/2) = 2/7

 Blue: P(B) =  3/7           Blue: P(B₂/B₁) =1/3     Blue, Blue     (4/7) x (1/2) = 2/7

                                                                                           Check: Total = 7/7  = 1

Notes:

P(R₂/R₁) means the probability that the 2nd ball is red given that the 1st ball was red. Since you started with 3 red balls out of 7 total balls but previously pulled one red ball out, you now have 2 remaining red balls out of 6 remaining total balls.

2 red / 6 total = 1/3    

P(B₂/R₁) means the probability that the 2nd ball is blue given that the 1st ball was red. Since you started with 4 blue balls out of 7 total balls but previously pulled one red ball out, you still have 4 blue balls but only 6 total remaining balls.

4 blue / 6 total = 2/3    

P(R₂/B₁) means the probability that the 2nd ball is red given that the 1st ball was blue. Since you started with 3 red balls out of 7 total balls but previously pulled one blue ball out, you still have 3 red balls but only 6 total remaining balls.

3 blue / 6 total = 1/2    

P(B₂/B₁) means the probability that the 2nd ball is blue given that the 1st ball was blue. Since you started with 4 red balls out of 7 total balls but previously pulled one blue ball out, now have 3 remaining red balls out of 6 total remaining balls.

3 blue / 6 total = 1/2    

See Tree Diagram below                                

Answer:

18 gallons

Step-by-step explanation:

2 cups of sugar times 9 gallons of lemonade is 18

One common unit of measure that serves as a conversion factor between linear and angular measurements is the radian (rad).

A radian is defined as the angle subtended at the center of a circle by an arc of the circle equal in length to the radius of the circle.

Since the circumference of a circle is 2π times the radius, there are 2π radians in a full circle. Therefore, one can use the following conversion factors

1 radian = 180/π degrees (approx. 57.3 degrees)

1 degree = π/180 radians (approx. 0.01745 radians)

These conversion factors allow you to convert between linear measurements (such as arc length or circumference) and angular measurements (such as angles in degrees or radians) when dealing with circular motion or rotational systems.

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i didn’t realize u were chill like that

Answer:

Write in the box :....

30

Answer:

(x - 7)² + (y + 3)² = 7

Step-by-step explanation:

The equation of a circle is denoted by: \((x -x_1)^2+(y-y_1)^2=r^2\), where \((x_1,y_1)\) is the centre and r is the radius.

Here, the centre is (7, -3), which means \(x_1=7\) and \(y_1=-3\). The radius is r = √7. Plug these values into the formula:

\((x -x_1)^2+(y-y_1)^2=r^2\)

\((x -7)^2+(y-(-3))^2=(\sqrt{7}) ^2\)

\((x -7)^2+(y+3)^2=7\)

Thus, the answer is (x - 7)² + (y + 3)² = 7.

~ an aesthetics lover

Answer:

24 g

Step-by-step explanation:

hello,

The big cube is compose by the 8 small cubes.

Because of the symmetry we can check what's happening to one of this small cube.

As Amanda has already painted the big cube it means that the same cube has 3 faces painted, so 3 faces are left unpainted. only 50 % is painted.

so Amanda need 24 grams to paint the unpainted surfaces of the 8 cubes.

hope this helps

The 95% confidence interval for the population mean SAT score is given as follows:

(1340, 1460).

The confidence interval is calculated using the t-distribution, as the standard deviation for the population is not known, only for the sample.

The bounds are obtained according to the equation defined as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

\(\overline{x} = 1400, n = 64, s = 240\)

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 64 - 1 = 63 df, is t = 1.998.

Then the lower bound of the interval is of:

1400 - 1.998 x 240/sqrt(64) = 1340.

The upper bound of the interval is of:

1400 + 1.998 x 240/sqrt(64) = 1460.

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Answer:

The correct answer is 10 units.

To solve this problem, you can use the tangent function, which relates the ratio of the opposite side and the adjacent side of a right triangle.

In this case, the opposite side is 9 units, and the tangent of angle A is 0.45.

Thus, the adjacent side (AB) is equal to 9/0.45, which is equal to 10 units.

Step-by-step explanation:

Identify the given values of the right triangle: the opposite side is 9 units and the tangent of angle A is 0.45.

Use the tangent function to calculate the adjacent side length: adjacent side = opposite side ÷ tangent(angle A)

Substitute the given values into the equation: adjacent side = 9 ÷ 0.45

Solve for the adjacent side length: adjacent side = 10 units Therefore, the approximate length of AB is 10 units.

Answer:

22

Step-by-step explanation:

Answer:

C) 12 baskets with 3 ornaments and 2 candy canes in each

Step-by-step explanation:

For the distribution shown in the table, there were a total of 8 scores. Out of these 8 scores, two individuals had scores less than 23. This can be calculated by adding up the frequencies for the scores below x = 23, which in this case is 4 + 2 = 6. Therefore, 6 out of the 8 scores were less than x = 23.

In general, a distribution is a set of data points which are arranged according to certain criteria. They are used to represent the probability of an event occurring.

In this case, the distribution was used to show the frequency of scores for the given set of numbers. The frequency of each score is shown in the table. By looking at the table, we can easily calculate the total number of scores for the distribution, which is 8. We can also calculate how many individuals had scores less than x = 23, which is two.

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The least common factor of the two integers is 1 212.

The greatest common factor is the greatest integer that can divide two integers. The greatest common factor can be rewritten as a product of prime numbers:

6 = 2 × 3

Besides, we know that the product of the two numbers:

a × b = 1 212 = 2² × 3 × 101

Then, by algebra properties we find that the integers are: (please notice that there are more than a solution

a = 2 × 3

a = 6

b = 101 × 2

b = 202

Finally, the least common multiple of the two numbers is:

LCM = 2² × 3 × 101

LCM = 1 212

The least common multiple is 1 212.

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Answer:

8

Step-by-step explanation:

4^3/2^3

(4^3)/(2^3)

64/8 = 8

Answer:

32,768

Step-by-step explanation:

4^3 = 64

64÷2 = 31

32^3 = 32768

hopefully I didnt get it wrong

Given:

Subtract the sum of \((5^3 + 7^2-9)\) and \((7 + 3^2)\) from the sum of \((5^3 + 6)\) and \((10^2-12)\).

To find:

The simplified value for the given statement.

Solution:

The sum of \((5^3 + 7^2-9)\) and \((7 + 3^2)\)

\(Sum_1=5^3+7^2-9+7 + 3^2\)

\(Sum_1=125+49-9+7 + 9\)

\(Sum_1=181\)

The sum of \((5^3 + 6)\) and \((10^2-12)\).

\(Sum_2=5^3 + 6+10^2-12\)

\(Sum_2=125+6+100-12\)

\(Sum_2=219\)

Now, subtract \(Sum_1\) from \(Sum_2\).

\(219-181=38\)

Therefore, the required value after the subtraction is 38.

Answer:

\(y = 2x -4\)

Step-by-step explanation:

Slope intercept form is  \(y = mx + b\) where m is the slope and b is the y-intercept.

Slope is \(\frac{rise}{run}\) or \(\frac{y_2 - y_1}{x_2-x_1}\) in this case = \(\frac{0 - (-4)}{2 - 0} = \frac{4}{2} = 2\)

Substitute one of the coordinates for x and y. I am going to use (0, -4) so:

\(-4 = 2(0) + b\\-4 = 0 + b\\-4 = b\)

since m = 2 and b = -4, we can conclude that the equation would be

\(y = 2x -4\)

Answer:

y=2x-4

the slope is 2 and the y-intercept is -4, the equation is

Step-by-step explanation:

m=y2-y1/x2-x1

0-(-4)=4

2-0=2

4/2=2

slope=2

y=mx+b

0=2(2)+b

2*2=4

4-4=0

0-4=(-4)

y-intercept=(-4)

y=2x-4

hope this helps :3

if it did pls mark brainliest

Step-by-step explanation:

x² - 9

1. There is no common factor other than 1.

2. √x² = x; √9 = 3

3. a = x; b = 3

4. x² - 9 = (x - 3)(x + 3)