The combined weight of a large and small box is 55 pounds. The truck is transporting 70 large boxes and 60 small. If the truck is carrying a total of $3700 pound boxes how much does each box weigh?

Answer:

150min

Step-by-step explanation:

Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.

ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.

ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.

We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

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The correct answer is not provided in the given options. The sun would not be visible at noon on December 21 in a city at 60°N latitude.

The angle of the sun above the horizon at noon on December 21 depends on the latitude of your city. Since you mentioned that you live at 60°N, we can determine the angle using some knowledge about the tilt of the Earth and the seasons.

On December 21, the winter solstice, the Northern Hemisphere is tilted away from the sun. This means that the angle of the sun above the horizon at noon is lower than on other days of the year.

To calculate the angle, we need to subtract the latitude of your city (60°N) from the tilt of the Earth (23.5°).

So, the angle of the sun above the horizon at noon on December 21 in your city would be:
23.5° - 60° = -36.5°

The negative sign indicates that the sun is below the horizon at noon on December 21. Therefore, the correct answer is not provided in the given options. The sun would not be visible at noon on December 21 in a city at 60°N latitude.

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Answer:

C.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer: The coordinate of the solution is (0.25,-0.5)

Step-by-step explanation:

the solution is (0.25,-0.5) because when you graph them on a graph, they both intercept at that point.

Answer:

5. The factors of 8 are 1, 2, 4, and 8. The factors of 12 are 1, 2, 3, 4, 6, and 12. The greatest common factor (GCF) is 4.

6. The factors of 10 are 1, 2, 5, and 10. The factors of 15 are 1, 3, 5, and 15. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The GCF is 5.

7. The factors of 18 are 1, 2, 3, 6, 9, and 18. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. The GCF is 6.

Answer:

Inner hole: 13 cm; Whole disc, 72 cm

Step-by-step explanation:

Connexus 2021

follow me

Answer:

38 ft^2

______________

The largest value that should appear on the x-axis assuming that the tick marks will be separated by 5 is 95.

Since the tick marks are separated by 5, we can start with the smallest tick mark at 0 and add 5 for each subsequent tick mark.

To determine the largest value that should appear on the x-axis, we need to find the largest multiple of 5 that is less than or equal to the largest value in the data set. In this case, we don't have any information about the data set, so we can't determine the largest value.

However, we can assume that the x-axis should be long enough to accommodate the largest value that we expect to see. If we assume that the largest value is 100, then the largest multiple of 5 that is less than or equal to 100 is 95.

Therefore, the largest value is 95.

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Answer:

y=0x+-3

Step-by-step explanation:

slope intercept form is y=mx+b

m is slope

b is y-intercept

y and x are points on a coordinate plane.

The correlation between two variables is an important measure that helps us understand the relationship between them. In Scenario 3-2, if the heart disease death rate is expressed as deaths per 1,000 people instead of as deaths per 100,000 people, it would not change the correlation (r) between wine consumption and heart disease death rate.

The correlation coefficient (r) measures the strength and direction of the relationship between two variables. If the heart disease death rate is expressed as deaths per 1,000 people instead of as deaths per 100,000 people, it would change the units in which the death rate is expressed, but it would not change the underlying relationship between wine consumption and heart disease death rate.

In other words, regardless of the units in which the death rate is expressed, the correlation between wine consumption and heart disease death rate would remain the same. This is because the correlation measures the relationship between two variables, not the units in which they are expressed. It is important to note that expressing the death rate in different units may make it easier or more difficult to understand the relationship between two variables, but it does not change the underlying correlation.

In conclusion, the correlation (r) between wine consumption and heart disease death rate would not change if the death rate were expressed as deaths per 1,000 people instead of as deaths per 100,000 people.

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The observed allele frequencies for the T102C locus are as follows: T allele frequency = 0.388 and C allele frequency = 0.612.


To calculate the observed allele frequencies, we divide the number of occurrences of each allele by the total number of alleles observed.

In this case, the T allele is observed in 108 TT genotypes and 194 TC genotypes, giving a total of 108 + 194 = 302 T alleles. Similarly, the C allele is observed in 194 TC genotypes and 48 CC genotypes, giving a total of 194 + 48 = 242 C alleles.

To calculate the T allele frequency, we divide the number of T alleles by the total number of alleles: 302 T alleles / (302 T alleles + 242 C alleles) = 0.388 (or approximately 0.39).

Similarly, the C allele frequency is calculated as: 242 C alleles / (302 T alleles + 242 C alleles) = 0.612 (or approximately 0.61).

Therefore, the observed allele frequencies for the T102C locus are T allele frequency = 0.388 and C allele frequency = 0.612.

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Jane travels 8 miles much farther than her trainer. The solution is obtained using arithmetic operations.

What are arithmetic operations?

By combining operands with one arithmetic operator, an arithmetic operation is given. The built-in functions add, subtract, divide, and multiply additionally allow for the specification of arithmetic operations.

3. Using pythagoras theorem, we get the equation as D² = 12² + 16².

⇒D² = 144 + 256

⇒D² = 400

⇒D = √400

⇒D = 20

4. Jane has traveled 28 miles in total whereas her trainer has traveled 20 miles.

So, the difference is 28-20= 8 miles

Hence, Jane travels 8 miles much farther than her trainer.

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Answer:

Hey there!

7(3x-1)-(x+5)=-52

21x-7-x-5=-52

20x-12=-52

20x=-40

x=-2

An assignment of probability must obey all of the following:

A) the probability of any event must be a number between 0 and 1, inclusive

B) the sum of all the probabilities of all outcomes in the sample space must be exactly 1

C) it must obey the addition rule for disjoint events.

An assignment of probability requires adherence to certain principles. Firstly, the probability of any event must be a number between 0 and 1, inclusive. Probability values less than 0 or greater than 1 are not valid since they fall outside the range of possible probabilities.

Secondly, the sum of all the probabilities of all outcomes in the sample space must be exactly 1. This ensures that the entire sample space is accounted for and that there are no missing or extra probabilities.

Lastly, the assignment of probability must obey the addition rule for disjoint events. According to this rule, if two events are disjoint (mutually exclusive), meaning they cannot occur simultaneously, then the probability of the union of these events is equal to the sum of their individual probabilities.

Therefore, to ensure a valid assignment of probability, all of the conditions mentioned in options A, B, and C must be satisfied. Hence, the correct answer is option D, "all of the above."

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If you mean axis then the answer is that the coordinate on the y axis stays the same but the coordinate on the x axis is the opposite.

For example, if the number on the y axis on quadrant 1 is 4 then if it's reflected onto quadrant two, the number will stay the same but if the number on the x axis is 4 then if it's reflected onto quadrant two, the number will be -4

If teacher is distributing sheets in a class, then the equation which is used to find number of students in class is (d) 2x+8 = 3x - 11​.

A "Linear-Equation" is a mathematical equation that represents a straight line in a coordinate plane. It is of form : y = mx + b

where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept (the point at which the line crosses the y-axis).

Let number of students in class be denotes as "x",

If each student get 2 sheets, then 8 sheets are remaining, it is mathematically represented as : 2x + 8 ,

If each student get 3 sheets each, then there would be 11 sheets less, and this is represented as : 3x - 11,

So, the equation which is used to find number of students in class is 2x+8=3x-11,

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

If a teacher were to distribute sheets of paper so that each student got two sheets, there would be 8 sheets remaining. However, if three sheets were given to each student, the teacher would be 11 sheets short. Which equation could be used to find how many students are in the class?

(a) 2(x - 8) = 3(x + 11)

(b) 2(x + 8) = 3(x - 11)

(c) 2x-8 = 3x + 11

(d) 2x+8 = 3x - 11​

Answer:

A=2(2x+1)(3x+4

Step-by-step explanation:

The algebraic expression for the quotient of 1 and the square of a number is written as 1/y²

An algebraic expression can best be defined as an arithmetic or mathematical expression that is known to consist of variables, coefficients, constants, factors as well as terms.

These expressions also said to be made up of numerous mathematical or arithmetic operations, which includes;

From the information given, we have that;

The quotient of 1 and the square of a number

Now, let the number in this case be y

This expression can be represented as;

1/ (y)²

expand the bracket

1/y²

Hence, the expression is 1/y²

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Answer:

b = (a - 6)^2

Step-by-step explanation:

Solve for b:

a = sqrt(b) + 6

a = sqrt(b) + 6 is equivalent to sqrt(b) + 6 = a:

sqrt(b) + 6 = a

Subtract 6 from both sides:

sqrt(b) = a - 6

Raise both sides to the power of two:

Answer: b = (a - 6)^2

The formula is simplified as the equation b = a² - 6

Given data:

To make "b" the subject of the formula "a = √(b + 6)", we need to isolate "b" on one side of the equation.

Here are the steps to rearrange the equation and solve for "b":

Start with the equation: a = √(b + 6).

Square both sides of the equation to eliminate the square root:

(a)² = (√(b + 6))².

Simplify the right side of the equation:

a² = b + 6.

Subtract 6 from both sides of the equation to isolate "b":

a² - 6 = b.

So, the equation "a = √(b + 6)" can be rearranged as "b = a² - 6". This new equation allows us to calculate the value of "b" based on a given value of "a".

Hence, the equation is b = a^2 - 6.

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The correct answer is b, Modus Tollens.

Modus Tollens is a valid argument that states that if a conditional statement is true, and its consequent is false, then its antecedent must be false as well. In simpler terms, if A implies B, and B is false, then A must also be false.
The argument given in the question is an example of Modus Tollens. The argument can be rephrased as: If you train hard, you win a medal. You did not win a medal, so you did not train hard. This is a valid argument, and the conclusion can be derived from the premises through logical reasoning. Therefore, the correct answer is b, Modus Tollens.

The given argument is an example of Modus Tollens, which is a valid argument in propositional logic. Therefore, the correct answer is b.

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Answer:

$43.91

Step-by-step explanation:

=34.99 + 3(1.89)

=40.66

\( = 40.66 \times \frac{108}{100} \)

= 43.91

or

\(40.66 \times \frac{8}{100} \)

= 3.25

then 40.66 + 3.25 = 43.91

Answer:

The answer is D

Step-by-step explanation:

34.99 = 1 backpack

1.89(3) = 5.67

34.99 + 5.67 = 40.66

40.66(.08) = 3.2528

40.66 + 3.25 = 43.91

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Answer:

The answer is 15

Step-by-step explanation:

adding 3 to y for each time 1 is added to y. since you start with a base of 9, we can conclude this answer by taking 3 times 15, which is 45, then adding 9, which makes 54. Like this:

0 | 9

1 | 12

2 | 15

...

13 | 48

14 | 51

15 | 54

Answer:

A, B, and E

Step-by-step explanation:

I hope this helps enjoy your day.

Answer:

Step-by-step explanation:

A. The data appears to be reported. The heights occur with roughly the same frequency.

A histogram is a graphical representation of a frequency distribution, where the x-axis represents the values of the data, and the y-axis represents the frequency of those values. If the heights are reported, the last digit of the heights should be randomly distributed and the frequency of each digit should be roughly the same, which is the case in a histogram with uniform distribution. This is in contrast to a histogram with non-uniform distribution, where certain heights occur a disproportionate number of times, which is more likely to happen when the heights are measured. Therefore, based on the information provided, it can be concluded that the data appears to be reported.