The following data were taken from a study relating the Days High Temperature to the Average Amount of Cola Consumed (per capita) in a small mid-western town.

Observation Days High Temperature Average Ounces of Cola Consumed
1 64 73
2 51 61
3 62 55
4 78 75
5 50 53
6 80 81
7 50 53
8 52 54
9 61 77
10 69 82

Given the 10 Observations above, Use a Regression to find each of the following:

a. Slope of Regression Equation =
b. Y Intercept for the Regression Equation =
c. Correlation Coefficient =
d. Coefficient of Determination =

Answer:

When the function is to be reflected over the x and y-axis, we write it as a reflection of a function over x = y, so it is divided into two parts or two cases y = x and y = − x. When the graph of function is reflected over y = x, then we will swap the coordinates of the x and y-axis with each other while their signs remain the same.

Step-by-step explanation:

The sum of 9, 11 and 10 is equivalent to 30 by: (11–1) + (13–3)+(15–5)

We can use variables to represent each of the three empty boxes, and then seek a solution comprising odd numbers that satisfies the equation, given that 30 equals the sum of the boxes.

Note that the three boxes and they can be symbolized by the letters x, y, and z.

The  objective is to select odd numbers from the set [1, 3, 5, 7, 9, 11, 13, 15] and as such, the the sum of x, y, and z is equivalent to 30.

An option that can work are:

Lets make

The value of x = 11

The value of y = 13

The value of y = 15.

The sum of 9, 11 and 10 is equivalent to 30 by:

(11–1)+(13–3)+(15–5)  =30.

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Answer:

what does this mean. oh wAit iM dematerializinG mvxhkgd

hdgxmgxmgxkgzkgsktxktdktdktdktdtdkgd

Answer:

Step-by-step explanation:

Answer:

the approximate distance between the points is

√25+25 = 5√2

=7.07

Step-by-step explanation:

ANSWER

Parallel lines

EXPLANATION

To find the relationship between lines AB and CD, we have to find their slopes. If they have opposite reciprocal slopes, the lines are perpendicular; if they have the same slope and different y-intercept they are parallel; in any other case, they are neither parallel nor perpendicular.

The slope of a line passing through points (x₁, y₁) and (x₂, y₂) is,

So, the slope of line AB is,

And the slope of line CD is,

Hence, since both lines have the same slope, AB and CD are parallel lines.

The mark-up for the playground slides is 170%. The mark-up refers to the price added to the cost to find out the selling price of a product.

Mark-up is the difference between the selling price and cost price of a product.It is usually represented as a percentage, the mark-up percentage is calculated over the cost of the product. In other words we can say that mark-up is the profit gained from selling a particular product. Here it is said that the cost of a playground slide is $290 and the selling price of the playground slide is $783. We need to find the mark-up percentage of the playground slide.

Mark-up %=\(\frac{selling price-cost}{cost}\)×100=\(\frac{783-290}{290}\)x100=\(\frac{493}{290}\)x100=170%

Therefore the mark-up percentage of the playground slide is 170%.

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The correct graph of the inequality ( |x| + 3 > 3) is attached accordingly.

Recall that the absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5.

A number's absolute value can be conceived of as its distance from zero along the real number line.

So, given  |x| + 3 > 3

Add minus three to both sides

|x| + 3  + (-3) > 3 + (-3)

|x|  > 0

Thus, the absolute value of x is

x > 0 or x < -0

put in the form of inequality, we have

x > 0 or x < 0

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We can tell that the investment results after 4 years will be $761 with the help of compound interest.

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it so that interest is generated the next period on the principal amount plus any accumulated interest.

In finance and economics, compound interest is common.

So, we have an initial investment of %600.

And the interest is 6% which will be compounded quarterly for 4 years.

Then the amount we will receive after 4 years is:

(Refer to the table attached below)

So, the amount we will get after 4 years is $761.39.

Rounding off: $761

Therefore, we can tell that the investment results after 4 years will be $761 with the help of compound interest.

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Answer:

m = 2, (0,4)

Step-by-step explanation:

Slope is 2

Y intercept is 0,4

Answer:

28.4

Step-by-step explanation:

Add 5.5 to both sides.

x - 5.5+5.5 cancels out the -5.5 to get x.

x = 22.9+5.5

x=28.4

69200000 in scientific notation is  6.92 × 10⁷.

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.

Scientific Notation is a special way of writing numbers:

For example 800 is written as 8 × 10² in Scientific Notation.

Therefore, let's write the scientific notation of the number 69200000.

Hence,

69, 200, 000 = 6.92 × 10⁷

The logic is that we will count backwards until we meet the last number. Since we counted towards the left side, the exponent will be positive.

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The value of angle x in the triangle is 15°

Given: the triangle ABC with equal sides of 9 units.

Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).

Thus, <A = <B = < C =  4x°

Since the sum of angles in a triangle is 180°. We have:

<A + <B + < C = 180°

4x + 4x + 4x = 180°

12x = 180

x = 180/12

x = 15°

Therefore, the value of x is 15°

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Answer:

120

Step-by-step explanation:

an easy way of looking at it is

5x8x3

Answer:

y = 4/5x + 3/5  

Step-by-step explanation:

In the slope-intercept form, y = mx + b, we need to find the values of the slope (m) and the y-intercept.

Using points (-7, -5) and (3, 3), we can calculate for the slope of the equation given the formula:

\(m = \frac{y2 - y1}{x2 - x1}\)

Let (x1, y1) = (-7, -5)

and (x2, y2) = (3, 3).

Plug the given values into the slope formula:

\(m = \frac{y2 - y1}{x2 - x1} = \frac{3 - (-5)}{3 - (-7)} = \frac{3 + 5}{3 + 7} = \frac{8}{10} = \frac{4}{5}\)

Therefore, the slope of the line is 4/5.  

Next, we need to find out the value of the y-intercept (b).

We can use one of the given points, (3, 3), along with the slope (4/5) to solve for the y-intercept:

y = mx + b

3 = 4/5(3) + b

3 = 12/5 + b

Subtract 12/5 from both sides:

3 - 12/5 = 12/5 - 12/5 + b

3/5 (or 0.6) = b

Therefore, the y-intercept is 3/5.

We can now establish our linear equation as:

y = 4/5x + 3/5

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Answer:

below

Step-by-step explanation:

x be the miles for first day

y be the miles for 2nd day

8 miles in 1 hr

so x miles will be x/8

14 miles In 1 hr

so y miles will be y/14

x/8 + y/14 = 11

Answer: 0.771 you are welcome

Answer:

Step-by-step explanation:

For the sample, n = 12

Mean, x = (158.2 + 162.8 + 161.5 + 161.2 + 166.5 + 160.1 + 158.4 + 175.6 + 159.9 + 168.8 + 161.9 + 163.7)/12 = 163.22

Variance, s² = (summation(x - mean)²/n

Summation(x - mean)² = (158.2 - 163.22)^2 + (162.8 - 163.22)^2 + (161.5 - 163.22)^2 + (161.2 - 163.22)^2+ (166.5 - 163.22)^2 + (160.1 - 163.22)^2 + (158.4 - 163.22)^2 + (175.6 - 163.22)^2 + (159.9 - 163.22)^2 + (168.8 - 163.22)^2 + (161.9 - 163.22)^2 + (163.7 - 163.22)^2 = 273.5368

Variance, s² = 273.5368/12 = 22.79

This is a test for a single variance. We would set up the test hypothesis.

For the null hypothesis,

H0: σ² ≥ 25

For the alternative hypothesis,

H1: σ² < 25

The formula for determining the test statistic,x² is

x² = (n - 1)s²/σ²

Where n - 1 is the degree of freedom, df.

df = 12 - 1 = 11

x² = (11 × 22.79)/25 = 10.0276

For a test of 90% reliability, Confidence level = 0.9

Cl = 1 - alpha(level of significance)

alpha = 1 - 0.9 = 0.1

The critical value from the chi-square distribution table is 17.28. Since 17.28 > 10.0276, we would reject the null hypothesis. Therefore, the filling machine does not need repair because the variance of the process is not more than 25 oz.

Answer:

The circle's circumference is approximately 106.81 centimeters.

Explanation:

The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.

So, for a circle with a radius of 17 centimeters, its circumference can be found by:

C = 2πr

C = 2 x 3.14 x 17

C ≈ 106.81 cm

Therefore, the circumference of the circle is approximately 106.81 centimeters.

The values of the expressions are;

z³³

d⁻¹⁶

Note that index forms are described as forms used in the representation of numbers or variables too large or small.

Some rules of index forms are;

Then, from the information given, we have that;

(z⁻⁴/z⁶  × z⁵/z⁻⁶)⁻¹¹

Subtract the exponents, we have;

(z⁻² × z⁻¹)⁻¹¹

expand the bracket

z²² ⁺ ¹¹

z³³

(d⁴)⁻³/(d⁶)⁻²  ÷  (d⁴/d⁶)⁻⁸

expand the brackets

d⁻¹²/d¹²  ÷    (d⁻²)⁻⁸

subtract the exponents

d⁰  ÷  d¹⁶

d⁻¹⁶

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The value of n(AUB) i.e. union of A and B is 53.

What are Intersections and Unions in Probablity?

The union of two sets results in a new set that contains all of the items from both sets. The union is abbreviated as A∪B or "A or B." The intersection of two sets yields a new set containing all of the members from both sets. The junction is denoted by the letters A∩B or "A and B."

Solution:

Given that,

n(A) = 14

n(B) = 51

n(A∩B) = 12

We know that thee formula is n(AUB) = n(A) + n(B) - n(A∩B)

Putting the values,

n(AUB) = 14 + 51 - 12 = 53

So, the answer for the value of n(AUB) = 53

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Answer:

\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)

Answer:

.......

Step-by-step explanation:

Jahlan, simple interest means that interest is paid every year on the original $4000.

To find 2% of 4000, you multiply 4000(.02) = $80.

Since the interest is the same, 3(80) = $240.

.. ......................

Step-by-step explanation:

The definite integral of sin^5(x)dx from 0 to pi/2 can be evaluated using the method of substitution.

Let u = sin(x), then du = cos(x)dx

The integral becomes:

∫sin^5(x)dx = ∫u^5du from 0 to sin(π/2)

= (u^6)/6 evaluated at sin(π/2) and 0

= (sin^6(π/2))/6 - 0

= (1^6)/6

= 1/6

So, the definite integral of sin^5(x)dx from 0 to pi/2 is equal to 1/6.

Answer:

x = -7

Step-by-step explanation:

m<MLP + m<PLK = m<MLK (angle addition postulate)

(x + 31) + (x + 147) = 164 (substitution)

Solve for x

x + 31 + x + 147 = 164

Add like terms

2x + 178 = 164

2x = 164 - 178

2x = -14

x = -14/2

x = -7

Answer:

Hellou our answer is 2/3

Step-by-step explanation:

5/8 ÷ 15/16 = 2/3

Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

Answer:

Hollister - $48

PacSun - $45

Better buy? PacSun, it's cheaper

Let's start with the easier one, PacSun

Jeans there were $90, but they are half off. To find half of $90, we divide by 2

90/2 = 45

PacSun = $45

For Hollister;

Jeans were $60, but are now 20% off. 20% is 1/5 of 100%, so let's first divide by 5

$60/5 = 12

Those were $12 off.

Next we take $60 and subtract 12

60-12=48

Hollister = $48

Which means PacSun is the better buy