Are the two statements equivalent?
The ratio of boys to girls is 3 to 4
The ratio of girls to boys is 4 to 3

Answer:

oh uhh id.k? maybe? no yes no

Step-by-step explanation:

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeessssssssssssssssssssssss

Step-by-step explanation:

Answer:

m=1

Step-by-step explanation:

The sum of (1+i) and (2+2i) is equal to 3+3i.

To find the sum or difference of complex numbers, we add or subtract their real and imaginary parts separately. In this case, we have (1+i) and (2+2i).

The real parts of the complex numbers are 1 and 2, so the sum of the real parts is 1 + 2 = 3.

The imaginary parts of the complex numbers are i and 2i, so the sum of the imaginary parts is i + 2i = 3i.

Therefore, the sum of (1+i) and (2+2i) is 3+3i. The real part of the sum is 3, and the imaginary part is 3i.

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Answer:

f(x) = ax^5 + bx^3 + cx^2 + 12.

Step-by-step explanation:

the degree is 5 so we will have a term like:

ax^5

it crosses the vertical axis at y = 12 so we will have a constant term equal to 12

the polynomial has 4 terms, and we already have two so we can make up two more but the exponent must be between 1 and 4

f(x) = ax^5 + bx^3 + cx^2 + 12.

it has 4 terms, f(0) = 12, then it intersects the y-axis at y = 12, and the maximum exponent is 5, then the degree of f(x) is 5

The probability category that is defined as the observed relative frequency with which an event occurs is called empirical probability.

Empirical probability is based on observations or data from past events. It involves calculating the probability of an event by dividing the number of times the event occurred by the total number of observations or trials. The empirical probability is an estimation of the true probability based on the observed relative frequency of the event.
For example, if we toss a fair coin 100 times and observe that it lands on heads 50 times, the empirical probability of getting heads would be 50/100, or 0.5. This means that based on the observed data, we can estimate that the probability of getting heads on a fair coin toss is 0.5.
Empirical probability is useful when we don't have prior knowledge or theoretical probabilities available, or when we want to validate or test the theoretical probabilities using real-world data. It is commonly used in fields such as statistics, economics, and social sciences, where data is collected and analyzed to make inferences about probabilities and outcomes.

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Answer:

0.799 to the nearest hundredth is 0.80

Hope this helps!

Answer:

$132

Step-by-step explanation:

40% off means it is actually 60% of the regular price.

Thus, you will multiply the original (220) by .6 (this means 60 percent)

and you will get 220*.6=132

Answer:

132

Step-by-step explanation:

First, find 40% of 220, which is 88 (220 * 0.4). Since everything was marked down, 40% was taken off the original price. So, 220 - 88 = 132

∑ Hey, trayun0geiger ⊃

Answer:

Full-time worker hourly wage = US$43.19

Part-time worker hourly wage = US$ 86.39

Full-time worker minimum monthly income = US$ 6910.4

Part-time worker minimum monthly income  = US$ 6911.2

Step-by-step explanation:

Given:

-------------------------------------------------------------------------------------------------------------

State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage.

Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.

-------------------------------------------------------------------------------------------------------------

Solve:

-------------------------------------------------------------------------------------------------------------

Let's analysis the given  information  to answer the question:

Monthly costs of a 2-adult and 2-children family in the Okaloosa Country, FL= US $6,911

Full-time worker = 4 weeks of 40-hour per month

Part-time worker = 2 weeks of 40-hour per month

-------------------------------------------------------------------------------------------------------------

Let's calculate the minimum monthly income and hourly wage per worker:

Full-time worker hourly wage = Monthly costs/160

Part-time worker hourly wage = Monthly costs/80

Full-time worker hourly wage = 6,911/160 = 43.19375

Part-time worker hourly wage = 6,911/80 = 86.3875

Full-time worker hourly wage = US$43.19

Part-time worker hourly wage = US$ 86.39

-------------------------------------------------------------------------------------------------------------

Full-time worker minimum monthly income = Hourly wage * 160

Part-time worker minimum monthly income  = Hourly wage * 80

Full-time worker minimum monthly income = US$ 6910.4

Part-time worker minimum monthly income  = US$ 6911.2

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xcookiex12

8/24/2022

Answer:The integers are ..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ... -- all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero). Fractions and decimals are not integers. ... For example, -5 is an integer but not a whole number or a natural number.

Step-by-step explanation:

Answer:

1096.6

Step-by-step explanation:

The answer would be 1096.63316, but since you are rounding to the nearest tenth, then your answer would be 1096.6.

Answer:

1096.6.

Step-by-step explanation:

e = about 2.7

2.7^7is about 1046

Answer:

[(5z+3 -3z)5z+3 - 3z

combine 5z and _3z to get 2z

(2z+3)x5z +3 - 3z

use the distributive property to multiply 2z + 3 by 5

(10z + 15)z + 3 - 3z

use the distributive property to multiply 10z+15 by z

10z2+15z+3-3z

combine 15z and -3z to get 12z

10z2+12z+3

Step-by-step explanation:

a) The null hypothesis, H0: p1 - p2 = 0, states that there is no real change in opinion among U.S. adults from May to June. The alternative hypothesis, Ha: p1 - p2 ≠ 0, states that there is a real change in opinion among U.S. adults from May to June.

(b) Under the null hypothesis, the difference in the percentages is expected to be 0%. The estimated standard error for this difference can be calculated as sqrt((p1(1-p1)/n1)+(p2(1-p2)/n2)), where p1 and p2 are the sample proportions for May and June, respectively, and n1 and n2 are the sample sizes for May and June, respectively.

(c) The two-sample z test statistic can be calculated as (p1-p2)/SE, where p1 and p2 are the sample proportions for May and June, respectively, and SE is the estimated standard error for the difference in proportions.

(d) The p-value can be calculated as the area under the normal distribution curve to the left of the negative of the absolute value of the z test statistic plus the area under the normal distribution curve to the right of the absolute value of the z test statistic.

(e) Our conclusion depends on the significance level chosen and the p-value obtained. If the significance level is chosen to be 0.05 and the p-value obtained is less than 0.05, then we reject the null hypothesis and conclude that there is evidence for a real change in opinion among U.S. adults from May to June.

If the p-value obtained is greater than or equal to 0.05, then we do not reject the null hypothesis and conclude that there is not enough evidence to support a real change in opinion among U.S. adults from May to June.

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The correct option is : c. Valid

Does the logical relationship between the premises and conclusion in the given argument hold true?

Yes, the logical relationship between the premises and conclusion in the given argument holds true.

To evaluate the given argument, we can break it down into its premises and conclusion:

Premises:

1.e ⊃ j (If e, then j)

2.b ⊃ q (If b, then q)

3.d ⊃ (j • ∼q) (If d, then (j and not q))

Conclusion:

(e • b) ≡ d ((e and b) if and only if d)

To determine the validity and cogency of the argument, we need to assess whether it is logically valid and whether its premises are true.

Validity: An argument is valid if the truth of its premises guarantees the truth of its conclusion. Let's analyze each premise:

1.e ⊃ j (If e, then j)

This premise asserts a conditional statement. If e is true, then j must also be true. This premise seems reasonable.

2.b ⊃ q (If b, then q)

Similar to the first premise, this premise asserts a conditional statement. If b is true, then q must also be true. This premise seems reasonable as well.

3.d ⊃ (j • ∼q) (If d, then (j and not q))

Once again, this premise states a conditional relationship. If d is true, then both j and not q must be true. This premise also seems reasonable.

Now let's consider the conclusion:

(e • b) ≡ d ((e and b) if and only if d) This conclusion states an equivalence, asserting that (e and b) is true if and only if d is true.

Given that all the premises are reasonable and logically valid, we can conclude that the argument is valid.

Therefore, the correct answer is:

c. Valid.  

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Answer:

\(y = \frac{6}{7}x - 1\)

Explanation:

\(Point 1: (-7, -7)\\Point 2: (7, -5)\)

\(\frac{y_{2} - y_{1} }{x_{2} - x_{1}}\)

\(\frac{(-5) - (-7)}{(-7) - (7)}\)

\(\frac{-12}{-14}\)

\(\frac{12}{14}\)

\(m = \frac{6}{7}\)

\(y - y_{1} = m(x - x_{1})\)

\(y - (-7) = \frac{6}{7}(x - (-7))\)

\(y + 7 = \frac{6}{7}(x + 7)\)

\(y = \frac{6}{7}x + \frac{42}{7} - 7\)

\(y = \frac{6}{7}x + (\frac{42}{7} - \frac{49}{7})\)

\(y = \frac{6}{7}x - 1\)

Block | A | B | C
1     | 1 | 1 | 11     | 1 | 1 | -11     | -1 | -1 | 11     | -1 | -1 | -1 2     | -1 | 1 | -1 2     | -1 | 1 | 1 2     | 1 | -1 | -1 2     | 1 | -1 | 1

(a) To generate the 23 design in two blocks of four runs with ac as the independent effect chosen to be confounded with blocks, we can use the following steps:
1. Assign four runs to block 1 and four runs to block 2.
2. Choose two levels for factor A and assign them to runs 1 to 4 and 5 to 8, respectively.
3. Choose three levels for factor B and assign them to runs 1, 2, and 5; runs 3, 4, and 8; and runs 6, 7, and 8.
4. Choose two levels for factor C and assign them to runs 1, 3, 6, and 8.

The resulting design matrix would be:

Block | A | B | C
1     | 1 | 1 | 1
1     | 1 | 1 | -1
1     | -1 | -1 | 1
1     | -1 | -1 | -1
2     | -1 | 1 | -1
2     | -1 | 1 | 1
2     | 1 | -1 | -1
2     | 1 | -1 | 1

(b) The 23 design in two blocks of four runs with an independent effect chosen to be confounded with blocks is a type of fractional factorial design, which is used when it is not feasible or practical to run a full factorial design. Fraction factorial designs are more efficient than full factorial designs in terms of the number of runs needed to estimate the main effects and some interaction effects. However, they sacrifice the ability to estimate all possible interactions between the factors.

This type of design is particularly useful when there are a large number of factors to be considered and the resources are limited. By confounding some of the effects, we can reduce the number of runs needed to achieve a certain level of precision in estimating the effects. In addition, by choosing the independent effect to be confounded with the blocks, we can control for any potential variability due to differences between the blocks.

Overall, the 23 design in two blocks of four runs with an independent effect chosen to be confounded with blocks is a useful experimental design method for situations where resources are limited and a large number of factors need to be considered.

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The compound inequality to find the range of scores she can make on her final exam to receive a C will be 44.5 ≥ x ≥ 71.5

Based on the information, the inequality will be:

70 ≥ (73 + 83 + 85 + 90 + 2x) / 6 ≥ 79

70 ≥ (331 + 2x) / 6 ≥ 79

420 ≥ 331 + 2x ≥ 474

89 ≥ 2x ≥ 143

44.5 ≥ x ≥ 71.5

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Alaina has scores of 73,83,85,90 on her math tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a C in the course. The final exam counts as two tests, and a C is received if the final course average is from 70 to 79

The answer is yes, more than one triangle can be formed using the three angle measures of triangle QPC. This is because the sum of the three angle measures of a triangle is always equal to 180 degrees.

A triangle is a three-sided geometric figure, consisting of three straight lines connecting three vertices. It is one of the most fundamental shapes in geometry and is used as the basis for a variety of mathematical concepts.

If two angle measures are given, any third angle measure between 0 and 180 degrees can be chosen to form a triangle. Thus, if two angle measures of triangle QPC are given, any third angle measure between 0 and 180 degrees can be used to form a triangle.

For example, if two angle measures of triangle QPC are 45 degrees and 65 degrees, then any third angle measure between 0 and 180 degrees can be chosen to form a triangle. Thus, if the third angle measure chosen is 70 degrees, then a triangle with three angle measures of 45 degrees, 65 degrees and 70 degrees can be formed. Similarly, if the third angle measure chosen is 30 degrees, then a triangle with three angle measures of 45 degrees, 65 degrees and 30 degrees can be formed.

Thus, it can be concluded that more than one triangle can be formed using the three angle measures of triangle QPC.

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Answer: 48, 24, 8,

Step-by-step explanation:

The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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The AREA of the parcel of land area is 14382 sq yd nearest square yard

We can see that the parcel of land is an isosceles triangle with two 45-degree angles. Therefore, the triangle is a 45-45-90 triangle, and the length of each leg is equal to x (say).

We know that the longest side (hypotenuse) is approximately 240.42 yards. Using the relationship in a 45-45-90 triangle, we can write:

longest side = x√2

240.42 = x√2

x = 240.42/√2

x ≈ 169.71

Therefore, the length of each leg is approximately 169.71 yards.

To find the area of the triangle, we can use the formula for the area of a triangle:

area = 1/2 * base * height

In a 45-45-90 triangle, the base and height are equal (since the triangle is isosceles), so we can use either leg as the base and height.

Using x = 169.71 as the base and height, we get:

area = 1/2 * 169.71 * 169.71

area ≈ 14382.42

Rounding to the nearest square yard, we get: area ≈ 14382 sq yd.

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Answer: 60

Step-by-step explanation:

1=10. x6=60

We have found that when production output is 5,000 loaves, the rate of increase (decrease) in revenue in dollars per 4 week will be 320000 dollars.

Given data: Bobby's Bakery produces a loaves of bread in a week. For his company he has the following cost, revenue, and profit function:c(z) = 80,000 + 20z,R(x) = 200x - z, and P(x) = R(x) - C(x).If dz/dt = 400 and z = 5,000, find dR/dt per 4 weeks.

Solution:We have the cost function of the Bobby's Bakery asc(z) = 80,000 + 20z. The revenue function of the Bobby's Bakery asR(x) = 200x - zThe profit function of the Bobby's Bakery asP(x) = R(x) - C(x). Now, we have to find the rate of increase (decrease) in revenue in dollars, that is, integer. dR/dt per 4 week.When Bobby's Bakery produces 5000 loaves of bread, then the revenue earned by him will beR(x) = 200x - z= 200(5000) - z= 1,000,000 - z. Revenue function R(x) is a linear function of x and slope of the linear function is 200. Now, as per the question, when production output is 5000 loaves, and his production is increased by 400 loaves of raisin bread per week, then the rate of increase (decrease) in the number of loaves of bread baked per week will be dz/dt = 400. The quantity of loaves of bread baked per week will be z = 5,000. We need to find the rate of increase (decrease) in revenue in dollars, that is, integer. dR/dt per 4 week. To find the value of dR/dt, we have the formula:dR/dt = slope of the linear function × dz/dt= 200 × 400= 80,000. We know that the above value of dR/dt is for per week. Now, we need to find dR/dt per 4 week.So, dR/dt per 4 week will be = 4 × 80,000= 320,000 dollars. Hence, the answer is 320000 dollars.

Thus, we have found that when production output is 5,000 loaves, the rate of increase (decrease) in revenue in dollars per 4 week will be 320000 dollars.

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The solution to the system is approximately x = 1.58, y = 1.95.

We can substitute y from the first equation into the second one:

2x + 3(5/2x - 1) = 12,

which simplifies to:

2x + 7.5x - 3 = 12,

and further simplifies to:

9.5x = 15.

Solving for x, we get:

x = 15/9.5 ≈ 1.58.

Substituting x = 1.58 back into the first equation y = 5/2x - 1, we find:

y = 5/2*1.58 - 1 ≈ 1.95.

Therefore, the solution to the system is approximately x = 1.58, y = 1.95.

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Solve the following system using substitution.

y = 5/2 x -1

2x + 3y = 12.

The value of c in the quadratic equation given is 32.

Given a quadratic equation of the form 3x² + bx + c = 0 has roots of 6 plus or minus square root of 2, we know that the quadratic equation can be written as:

3(x - (6 + √2))(x - (6 - √2)) = 0

Expanding this product gives:

3[(x - 6 - √2)(x - 6 + √2)] = 0

Using the difference of squares, we can simplify this expression to:

3[(x - 6)² - (√2)²] = 0

3(x - 6)² - 6 = 0

Multiplying out the squared term, we get:

3x² - 36x + 102 - 6 = 0

Simplifying, we get:

3x² - 36x + 96 = 0

Dividing both sides by 3, we get:

x² - 12x + 32 = 0

Therefore, the value of c is 32.

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The second vector that's perpendicular to the line we want (call it L) is missing; I'll denote it by ⟨a, b, c⟩.

The cross product of ⟨1, 1, 0⟩ and ⟨a, b, c⟩ is perpendicular to both of these vectors. The direction vector of L will be parallel to this cross product.

Compute the cross product.

⟨1, 1, 0⟩ × ⟨a, b, c⟩ = ⟨1•c - 0•b, 0•a - 1•c, 1•b - 1•a⟩ = ⟨c, -c, b - a⟩

Then the vector equation of L is

L(t) = ⟨c, -c, b - a⟩ t + ⟨-3, 3, -1⟩

As parametric equations, we write

x(t) = ct - 3

y(t) = -ct + 3

z(t) = (b - a) t - 1

Eliminating the parameter above, we get

x + y = (ct - 3) + (-ct + 3) = 0   ⇒   x = -y

and substituting

x = ct - 3   ⇒   t = (x + 3)/c

into z(t), we get

z = (b - a) (x + 3)/c - 1   ⇒   x = c (z + 1)/(b - a) - 3

As symmetric equations, then, we write

x = -y = c (z + 1)/(b - a) - 3

Answer:

13680

Step-by-step explanation:

Since we have number from 0 to 39 inclusive, there are 40 number all together.

Now there are 20 odd numbers and 20 even numbers since half of the the numbers are odd and half even.

Now, since we require 3 numbers for our locker combination which are either all even or all odd, the number of ways we can arrange 3 numbers from 20 when the order matters is ²⁰P₃ = 6480 ways for either odd or even numbers. So, for both odd and even numbers, we have the sum of even and odd number of ways ²⁰P₃ + ²⁰P₃ = 2 × ²⁰P₃ = 2 × 6480 = 13680. So, we have 13680 combinations of locks.

Pony will walk 78.50 feet to complete one trip around the circle.

Given that, the diameter of a circle is 25 feet.

We know that, circumference of circle = 2πr or circumference of a circle = πd.

Here,

C = 3.14×25

C = 78.50 feet

Therefore, Pony will walk 78.50 feet to complete one trip around the circle.

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Answer:

2/15 or 0.13

Step-by-step explanation:

Answer:

0.13328

Step-by-step explanation:

it's easier to write in that form

Answer:

option E is the answer

-14/2=(-7)²=+49

Answer:

100

Step-by-step explanation:

5(23-3)

23-3= 20

5 × 20= 100