research looks at how variables vary with each other, while research looks at how one variable causes a change in another variable. descriptive; correlational correlational; experimental experimental; descriptive experimental; correlational

The complete true mathematical statement is 4 4/5 + 3 2/3 < 8 1/2

From the question, we have the following parameters that can be used in our computation:

4 4/5 + 3 2/3 ________ 8 1/2

Evaluate the sum of the integer parts of the fractions

So, we have the following representation

7 4/5 + 2/3 ________ 8 1/2

Next, we take the LCM of 5 and 3 and evaluate the sum

This gives

7 (12 + 10)/15  ________ 8 1/2

Evaluate the sum of 12 and 10

So, we have

7 (22)/15  ________ 8 1/2

Simplify

7 + 1 7/15  ________ 8 1/2

Add 7 and 1

8 7/15  ________ 8 1/2

7/15 is less than 1/2

So, we have

8 7/15  < 8 1/2

Hence, the operator that completes the statement is <

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The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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Following is the odd function table of the given problem:

 x          y

-3         11

-1          2

 0          0

 1          -2

 3         -11

If f(-x) = f, then a function f(x) is even (x). If f(-x) = -f, the function is odd (x). There is reflection symmetry about the y-axis for an even function. Rotational symmetry about the origin exists for odd functions.

An odd function table is what?

The symmetry of even functions around the y-axis is f(x)=f (-x). The x- and y-axes are symmetrical for odd functions: f(x)=-f (-x). Let's apply these definitions to discover whether a table-based function is even, odd, or neither.

For the given table,

odd function table is -

  x        y

-3         11

-1         2

 0          0

 1          -2

 3        -11  

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Jutin chooses a function J(x) = 3x - 1 that when he uses the number 7 as an input, then the output is 20.

As per the given data, Jutin chooses a function in which he uses the number 7 as an input, then the output is 20.

Here we have to determine which function Jutin has to use.

Now we have to substitute the value that x = 7 in all the given functions.

First function:

F(x) = 2\(x^{5}\)

F(7) = 2 \((7)^{5}\)

F(7) = 2 (16807)

F(7) = 33614 which is not equal to 20.

Second function:

G(x) = \(x^{2}\) - 19

F(7) = \((7)^{2}\) - 19

F(7) = 49 - 19

F(7) = 30 which is not equal to 20.

Third function:

H(x) = 13 - x

H(7) = 13 - 7

H(7) = 6 which is not equal to 20.

Fourth function:

J(x) = 3x - 1

J(7) = 3(7) - 1

J(7) = 21 - 1

J(7) = 20

The correct function is J(x) = 3x - 1

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Based on the chi-square test, there is no significant evidence to suggest that the die is not balanced.

We have,

To determine if the die is balanced, we can perform a chi-square test of goodness of fit.

The null hypothesis is that the die is balanced, and the alternative hypothesis is that the die is not balanced.

First, let's calculate the expected frequencies for each outcome assuming the die is balanced. Since there are 180 tosses in total, each outcome is expected to have an equal probability of 1/6.

Expected frequency for each outcome

= (Total tosses) x (Probability of each outcome)

Expected frequency for each outcome = (180) x (1/6)

Expected frequency for each outcome = 30

Now, we can calculate the chi-square test statistic using the formula:

χ² = Σ [(Observed frequency - Expected frequency)² / Expected frequency]

Let's calculate the chi-square test statistic:

χ² = [(28 - 30)² / 30] + [(36 - 30)² / 30] + [(36 - 30)² / 30] + [(30 - 30)² / 30] + [(27 - 30)² / 30] + [(23 - 30)² / 30]

χ² = [(-2)² / 30] + [(6)² / 30] + [(6)² / 30] + [(0)² / 30] + [(-3)² / 30] + [(7)² / 30]

χ² = 4/30 + 36/30 + 36/30 + 0/30 + 9/30 + 49/30

χ² = 134/30

χ² ≈ 4.467

Next, we need to compare the calculated chi-square value to the critical chi-square value at a significance level of 0.01 and degrees of freedom equal to the number of outcomes minus 1 (6 - 1 = 5).

Looking up the critical chi-square value in a chi-square distribution table with 5 degrees of freedom and a significance level of 0.01, we find it to be approximately 15.086.

Since the calculated chi-square value (4.467) is less than the critical chi-square value (15.086), we fail to reject the null hypothesis.

Therefore, we do not have sufficient evidence to conclude that the die is not balanced at a 0.01 level of significance.

Thus,

Based on the chi-square test, there is no significant evidence to suggest that the die is not balanced.

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We would see a logarithmic sequence of values if we plotted the amount of time Edna spends watching TV weekly on a logarithmic scale.

If we plot the amount of time Edna spends watching TV on a logarithmic scale, we would see a continuous sequence of values that increase as her viewing time increases. Specifically, the sequence would be a logarithmic scale of the number of hours she watches TV per week.

On a logarithmic scale, each increment corresponds to a multiplication by a constant value. For example, if we use a logarithmic scale base 10, then each increment of 1 corresponds to a multiplication by 10. So, if we plot Edna's TV watching time on a logarithmic scale, we would see a sequence of values that increase by a factor of 10 as her TV watching time increases by an order of magnitude.

For example, if Edna watches 2 hours of TV per week, the logarithmic value would be log(2) = 0.3. If she watches 7 hours per week, the logarithmic value would be log(7) = 0.85. If she watches 20 hours per week, the logarithmic value would be log(20) = 1.3. As her viewing time increases, the logarithmic values would continue to increase in a continuous sequence.

Therefore, if we plotted the amount of time Edna watches TV each week on a logarithmic scale, we would see a logarithmic sequence of numbers.

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The number of months it would take the bamboo plant to be 66 inches tall is 18 months.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (24 - 12)/(4 - 0)

Slope (m) = 12/4

Slope (m) = 3

At data point (0, 12) and a slope of 3, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 12 = 3(x - 0)

y = 3x + 12 ≡ h = 3t + 12

When y = 66 inches, the number of months can be calculated as follows;

h = 3t + 12

66 = 3t + 12

3t = 54

t = 54/3

t = 18 months.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

It is 16

Step-by-step explanation:

[(10-3)^2 + 15]/4

[(7)^2 + 15]/4

[49+15]/4

[64]/4

= 16

9514 1404 393

Answer:

  answer: 83.6155157107

Step-by-step explanation:

See attached.

__

Most calculators will require that you enclose the numerator in parentheses. You may or may not need to do that for the square root function and denominator as well.

_____

My calculator uses RPN, so the sequence of keys would be ...

  16 . . . x^2

  17 . . . - (minus) . . . displaying 239

  2.3 . . . enter

  5.87 . . . + . . . displaying 8.17

  √ . . . . displaying 2.85832118559

  ÷ . . . . displaying 83.6155157107

This kind of calculator gives me complete control over the way the calculation is done, so no parentheses are needed. (The number 239 simply waits for the ÷ operation.)

Some "algebraic" calculators do not conform to the Order of Operations, and some do not have enough memory for pending operations. The manual doesn't always point out the limitations.

I like the G.oogle calculator because it is guaranteed to conform to the Order of Operations. That requires you to know where to use parentheses. Its final display always uses parentheses to show exactly how it did the computation.

Answer:make sure the value of x is positive

-check the solution to ensure it is a rational number

Step-by-step explanation:                            .

When solving equations with square roots it is important,

When solving equations with square roots it is important to keep in mind;

The value of x must be greater than or equal to zero i.e. value of x should be positive.

Rational number is a number which can be express in p/q form where q can not be equal to zero. Therefore, value of x should be rational number.

If radical expression is present,  isolate the radical on one side of the equation. Square both sides of the equation. Solve the new equation.

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Answer:

See below, please.

Step-by-step explanation:

\(45 \div ( \frac{3}{4} ) = 60\)

Hence, the number is 60.

Answer:

60

Step-by-step explanation:

¾ of X is 45

what is X!???

Answer:

270 miles is your answer

Step-by-step explanation:

Answer:

option 2

Step-by-step explanation:

The only kinds of lines with undefined slopes are vertical lines.

Answer:

The second graph.

Step-by-step explanation:

A vertical line has undefined slope so it is the second graph.

Answer:

1100

Step-by-step explanation:

We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

Answer

660in²

Step-by-step explanation:

B1=30

B2=36

h=20

1/2*20(30+36)

1/2*20(66)

10(66)

660in²

Step-by-step explanation:

\( \frac{6 {}^{2} }{ \sqrt[3]{6} } \)

\( \frac{6 {}^{2} }{6 {}^{ \frac{1}{3} } } \)

\(6 {}^{ \frac{5}{3} } \)

Answer:

It is one to one function

hope this will help you ☺️☺️

f(x)=2/3x^3-3/2x^2+x+C

Step-by-step explanation:

thus it's B

after one year he will owe the bank 82,000.00

Answer: The answer is the top right question

Step-by-step explanation:

Answer:

the awnser is the top right one

Step-by-step explanation:

if you look at the x and y and look at the chart it says x 2 y 1 the first point is on x 2 and on y 1 and i did the test awnser was right

Step-by-step explanation:

When 508,000,000 is written in scientific notation, it will be represented as:

5.08 x 10^8

Therefore, the value of the exponent is 8.

a. 5 and 7/12 tubes of paint (or 6 and 7/12 tubes if we want to convert to a mixed number) b. 8 and 7/24 pounds of food (or 7 and 19/24 pounds if we want to convert to a mixed number)

A fraction is a mathematical expression representing a part of a whole or a quantity that is not a whole number. It consists of two numbers, the numerator and the denominator, separated by a horizontal line or slash.

To find out how many tubes of paint Ramos used in all, we need to add the amount of blue paint and the amount of red paint.

Three and three-fourths tubes of blue paint can be written as 15/4 tubes of blue paint.

Two and five-sixths tubes of red paint can be written as 17/6 tubes of red paint.

To add these fractions, we need to find a common denominator. The least common multiple of 4 and 6 is 12, so we can convert the fractions as follows:

15/4 = 45/12

17/6 = 34/12

Now we can add the fractions:

45/12 + 34/12 = 79/12

This fraction can be simplified to a mixed number by dividing the numerator by the denominator:

79 ÷ 12 = 6 with a remainder of 7

So the answer is:

5 and 7/12 tubes of paint (or 6 and 7/12 tubes if we want to convert to a mixed number)

To find out how many pounds of corn and squash Trevor purchased in all, we need to add the weight of the corn and the weight of the squash.

Four and three-eighths pounds of corn can be written as 35/8 pounds of corn.

Three and seven-twelfths pounds of squash can be written as 47/12 pounds of squash.

To add these fractions, we need to find a common denominator. The least common multiple of 8 and 12 is 24, so we can convert the fractions as follows:

35/8 = 105/24

47/12 = 94/24

Now we can add the fractions:

105/24 + 94/24 = 199/24

This fraction can be simplified to a mixed number by dividing the numerator by the denominator:

199 ÷ 24 = 8 with a remainder of 7

So the answer is:

8 and 7/24 pounds of food (or 7 and 19/24 pounds if we want to convert to a mixed number)

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Given:

15,000 ones, 1,500 tens ,15 thousands, 15,000, 15 ten thousands.

To find:

The odd one out.

Solution:

First, we need to convert all the values in the standard form of a number.

\(15000\text{ ones}=15000\times 1\)

\(15000\text{ ones}=15000\)

Similarly,

\(1500\text{ tens}=1500\times 10\)

               \(=15000\)

\(15\text{ thousands}=15\times 1000\)

                     \(=15000\)

\(15\text{ ten thousands}=15\times 10000\)

                           \(=150000\)

The standard form of all numbers is 15,000 except 15 ten thousands.

Therefore, the odd one out is 15 ten thousands.

Answer:

-5 Faces

-10 Edges

-6 Vertices

Step-by-step explanation:

Folded out there are 3 rectangles and 2 triangles, 5 faces

Count the straight lines, no dotted, it's 10 edges

Count the corners only and the top of the triangles 6 vertices

If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;

P = l+l+w+w

P= 2(l+w)

60 = 2( 17+w)

60 = 2( 17+w)

17+w= 60/2

17+ w = 30

w = 30-17

w = 13cm

Therefore the height of the train ticket is 13cm

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The expected gestation period of this species with a 17-year life expectancy is approximately 430.2 days, rounded to one decimal place as needed.

A certain mammal has a life expectancy of about 17 years. To estimate the expected gestation period of this species, we can use the scatterplot provided, which shows Gestation Period (in days) vs. Life Expectancy (in years) for 18 species of mammals.

To determine if there is any evidence that an animal's gestation period is related to the animal's lifespan, we can look at the R-squared value provided, which is 86.5%. This indicates a strong positive correlation between gestation period and life expectancy.

To estimate the gestation period for the species with a 17-year life expectancy, we can use the provided linear regression equation:

Gestation = Constant + Coefficient * Life Expectancy

The given constant is 90.1808 and the coefficient is 20.

Gestation = 90.1808 + (20 * 17)

Gestation = 90.1808 + 340

Gestation ≈ 430.2 days

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If a DTC has not been set, it does not necessarily mean that the vehicle is running perfectly. It simply means that the computer system has not detected a problem that would trigger the code. There could still be issues with the vehicle that are not being reported by the system.

A DTC, or Diagnostic Trouble Code, is a code that is stored in a vehicle's onboard computer system when a problem is detected. The code indicates that there is an issue with a specific component or system in the vehicle. The presence of a DTC usually triggers a warning light on the dashboard or some other type of alert to the driver.
It is important to note that a vehicle's computer system can only detect issues that it is designed to monitor. There may be other problems with the vehicle that are not related to the systems being monitored, such as problems with the suspension, steering, or brakes. These issues would not be detected by the computer system, and could cause problems while driving.
In conclusion, while the absence of a DTC is a good sign, it does not necessarily mean that the vehicle is running perfectly. It is important to perform regular maintenance and inspections to ensure that all systems are functioning properly, regardless of whether or not a DTC has been set.

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The volume of the cylinder in terms of b is 32πb³ + 64πb².

To find the volume of the cylinder in terms of b, we need to substitute the given values of r and h into the formula:

V = π × r² × h

V = π × (4b)² × (2b+4)

V = π × 16b² × (2b+4)

V = 32πb³ + 64πb²

Therefore, the volume of the cylinder in terms of b is 32πb³ + 64πb².

In mathematics, volume is a measure of the amount of space occupied by a three-dimensional object. It is usually expressed in cubic units such as cubic meters, cubic feet, or cubic centimeters.

The volume of some regular three-dimensional shapes can be calculated using specific formulas. For example, the volume of a rectangular prism can be found by multiplying its length, width, and height. The volume of a cylinder can be found by multiplying the area of its base (usually a circle) by its height. The volume of a sphere can be found by using the formula (4/3)πr^3, where r is the radius of the sphere.

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