the correlation between employee iq and productivity in a factory is .12 with a significance of p < .01. what can we conclude

Answer:

To calculate Harry's total bill, we need to consider the cost of labor and the cost of the parts. Let's break it down step by step:

1. Labor cost:

The mechanic charges $24 per hour for labor, and the labor was charged for 1 3/4 hours.

Convert 1 3/4 hours to a mixed fraction: 1 3/4 = (4 + 3)/4 = 7/4 hours.

Labor cost = Labor rate per hour * Labor hours

Labor cost = $24/hour * 7/4 hours

To calculate this, we can multiply the numerators (24 * 7) and the denominators (1 * 4) separately:

Labor cost = ($24 * 7) / (1 * 4)

Labor cost = $168 / 4

Labor cost = $42

2. Cost of parts:

The mechanic replaced the spark plugs for $9, the air filter for $12, and the fuel filter for $4.79.

Cost of parts = Spark plugs cost + Air filter cost + Fuel filter cost

Cost of parts = $9 + $12 + $4.79

Cost of parts = $25.79

3. Total bill:

Total bill = Labor cost + Cost of parts

Total bill = $42 + $25.79

Total bill ≈ $67.79

Therefore, Harry's total bill, including labor and the cost of parts, is approximately $67.79.

Answer: x = 138

Step-by-step explanation:

\(108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138\)

Answer:

See explanation

Step-by-step explanation:

It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.

Answer:

10. -3(y+1)

The coefficients in this polynomial are -3 and 0 (for the constant term). The

sum of these coefficients is -3+0=-3.

11. 5x(3x²-4)

The coefficients in this polynomial are

15, 0, and -20 (for the constant term).

The sum of these coefficients is 15 +0

-20=-5.

12. 7(-2m²+5m+6)

The coefficients in this polynomial are

-14, 35, and 42 (for the constant term). The sum of these coefficients is -14 +

35+ 42 = 63.

13. (x+1)(3x-4)

The coefficients in this polynomial are 3, -1, and 0 (for the constant term). The sum of these coefficients is 3-1+0= 2.

14.

(-2z+5z)(-4x-8)

The coefficients in this polynomial are 8 and 32 (for the constant term). The sum of these coefficients is 8+32= 40.

15. (9x+5)(-4x-8+10x)

The coefficients in this polynomial are -36, 38, and -40 (for the constant term). The sum of these coefficients is -36+38-40 = -38

Step-by-step explanation:

Answer:

4

Hope this helps! Add 11 and -7

Answer:

Step-by-step explanation:

B because after having the star and the circle comes the square.

Answer:

Step-by-step explanation:

?

The given equation is:

Take the natural log of both sides:

Apply the power rule of logarithms:

The answer is B. ln(s)=m

a. 7

b.40

c. 156

1) Given the following functions:

2) We can find the given values below, by plugging into them values for x or operating those functions:

a) f(0)

Note that we have only evaluated this function.

b) 5g(3)

Note that after plugging into that x=3 we have plugged for g(3) the found value and then multiplied by 5.

c) f(-2)+g(12)

For this one we need to plug into each of them, different values for x, and then add them up:

3) Hence, the answers are:

a. 7

b.40

c. 156

hello

to slve this question, we need to draw a diagram to illustrate the situation

this would give us a better insight to solve the problem

to solve this question, we would use pythagorean theorem

this can be rewritten as

the height at which the ladder touches the wall of the house is at 8.7ft

Answer:

1/4

Step-by-step explanation:

8 + 4n = 9

4n = 1

n = 1/4

The required two column proof is explained below.

A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.

The two column proof for the information is given as:

M is the midpoint of CD    (Given)

CD = CM + MD   (addition property of a line segment)

CM = MD  (definition of a midpoint)

So that;

5x – 2 = 3x + 2    (Definition of midpoint)#

Then,

5x - 3x = 2 + 2 (collecting like terms)

2x = 4

x = 2

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Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer:

The center is ( 1,2) and the radius is the sqrt(3)

Step-by-step explanation:

The equation of a circle is given as

( x-h) ^2 + (y-k) ^2 = r^2  where ( h,k) is the center and r is the radius

(x-1)^2+(y-2)^2=3

The center is ( 1,2) and the radius is the sqrt(3)

Answer:

it's a 2/3 chance of landing on it but there are 4 non vowels. so I assume the answer is 4

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

multiply the diameter of the circle with π (

Step-by-step explanation:

Based on the data, the estimated number of lemon candies in the bag of 100 assorted candies is about 19.

In mathematics, proportion refers to the relationship between two quantities that are equivalent or have a constant ratio. It is usually expressed as a fraction or a ratio. For example, if a recipe calls for 2 cups of flour and 1 cup of water, the proportion of flour to water is 2:1 or 2/1. Proportions are used in a variety of mathematical and real-world situations, such as solving problems involving ratios, rates, and percentages.

In the given question,

We can use a simple proportion to estimate the number of lemon candies in the bag. We know that Ridgette handed out a total of 6 lemon candies out of a total of candies. Therefore, the proportion of lemon candies in the bag is:

6/total candies = number of lemon candies/100

We can cross-multiply to solve for the number of lemon candies:

number of lemon candies = 6 x 100 / total candies

We can also use the information about the other flavors to estimate the total number of candies in the bag. The total number of candies is:

total candies = lemon + orange + grape + cherry

Using the information from the table, we can estimate the total number of candies:

total candies = 6 + 5 + 8 + 13 = 32

Therefore, the estimated number of lemon candies in the bag is:

number of lemon candies = 6 x 100 / 32 = 18.75

We can round this to the nearest whole number to estimate that there were about 19 lemon candies in the bag of 100 assorted candies.

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Answer:

B) X = 6

Step-by-step explanation:

The figure transformation is a dilation. And the side lengths increased by two.

Answer:

Move each vertex 6 to the right, and 2 to the bottom, rest of the triangle will come automatically. It should look similar to the one I drew.

After translation vertices of triangle ABC are (0, 3), (7, 3) and (6, -2).

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

The given vector is (6, -2).

From the given triangle vertices are (-6, 1), (1, 1) and (0, -4)

From the given vector, it shows 6 units right shift and 2 unit down shift.

Here, vertices of image are

(-6, 1)→(-6+6, 1-(-2))→(0, 3)

(1, 1)→(1+6, 1-(-2))→(7, 3)

(0, -4)→(0+6, -4-(-2))→(6, -2)

Hence, after translation vertices of triangle ABC are (0, 3), (7, 3) and (6, -2).

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Step-by-step explanation:

16000 / 2 = 8000 on food  

0.3(16000 - 8000) = 0.3(8000) = 2400 on rent  

earned - rent  -  food  - edu   = remainder

16000 - 8000 - 2400 - 2050 = Rs. 3550

Answer:

y = -1/2 is the answer to 125=(1/25)^(y-1)

Answer:

the explanatory variable is "the amount of practice every year" while the response variable is "the improvement in his game"

Step-by-step explanation:

In simple terms, the difference between explanatory and random variable is that the response variable is usually the focus of a question in a study/experiment while an explanatory variable is a variable that explains changes in the response variable. Which means that the explanatory variable is simply any variable that may affect the response variable.

Now, in this question, the golfer wants to determine if the amount of practice every year can be used to predict the amount of improvement in his game.

This means that the amount of practice every year explains how much he improves every year.

Thus, the explanatory variable is "the amount of practice every year" while the response variable is "improvement in his game"

Answer:

25 and 36

Step-by-step explanation:

5x5=25

6x6=36

The values that, the function intersect the x axis at 2 different points is -4 < b < 4. So correct option is D.

A function in mathematics is a relationship between a set of inputs (also known as independent variables or arguments) and a set of outputs (also known as dependent variables or values). The output of a function is determined by the inputs, and the function assigns exactly one output value to each input value.

A function can be represented in many ways, including a formula, a table, or a graph. The formula of a function defines the relationship between the inputs and outputs, and can be used to calculate the output for a given input. A table lists input and output values, and a graph represents the function by plotting the input and output values.

Functions are a fundamental concept in mathematics and are used in many areas, including algebra, calculus, and other branches of mathematics, as well as in science, engineering, and other fields. Functions can be simple, such as linear functions, or complex, such as exponential functions or trigonometric functions.

For the function f(x) = x^2 + bx + 4 to intersect the z-axis at two different points, it must have two real roots. This means that the discriminant of the quadratic equation must be greater than 0. The discriminant of the quadratic equation is given by b^2 - 4(1)(4). Hence, b^2 - 16 > 0, or b^2 > 16, which simplifies to -4 < b < 4.

Therefore, the answer is D: -4 < b < 4.

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Answer:

112°

Step-by-step explanation:

Answer:

112

Step-by-step explanation: