which test would be more appropriate in this case: a t-test for the difference between two population means, or a paired t-test? why? (b) do the data provide sufficient evidence to support the claim that the mean pcb level has decreased in the region? be sure to check all assumptions, write the null and alternative hypotheses, calculate the appropriate test statistic, calculate the p-value, and state your

Answer: 15 goats

Step-by-step explanation:

h = hens - they have 2 legs

g = goats - they have 4 legs

The equations would be:

h + g = 19

2h + 4g = 68

To solve this, I personally prefer substitution, we're isolating h since we need to find g:

h + g = 19

h = 19 - g

Now that we have h, we can plug this into the second equation:

2h + 4g = 68

2(19 - g) + 4g = 68

38 - 2g + 4g = 68

2g = 30

g = 15

There are 15 goats.

Adding onto this, 19 - 15 = 4, so there are 4 hens.

Answer:1.6

Step-by-step explanation:

25/5=5

8/5=1.6

Answer:

Step-by-step explanation:

if 5miles = 25 minutes

then, 8 miles = X

hence X minutes

\(x = \frac{25minutes}{5miles} \times 8miles\)

Answer:

1) 4

2) 40

3) 22

4) 3

5) 9.5

6) 4

7)  14.2

8) 7

9) 12

10) 11

Step-by-step explanation:

1) 14 + 6 = 16

so, 16 - 12 = 4

2) 58 - 18 = 40

3) 30 - 8 = 22

4) 10 + 2= 12

so, 12 - 9 = 3

5) 15 + 3 = 18

so, 18 - 7.5 = 9.5

6) 22 - 8 = 14

so, 14 - 10 = 4

7) 19.6 - 5.4 = 14.2

8) 17 - 9 = 8

so, 8 -2 = 7

9) 54 + 8 = 62

so, 62 - 50 = 12

10) 32 - 16 = 16

so, 16 - 5 = 11

Answer:

1. 4

2. 40

3. 22

4. 21

5. 10.5

6. 4

7. 14.2

8. 6

9. 12

10. 11

Step-by-step explanation:

Answer:

x=(-1+i√119)/4

AND

x=(-1-i√119)/4

Step-by-step explanation:

\(2x^{2} +x+15=0\)

step1: identify a,b and c from the equation.

a=2

b=1

c=15

step2: use the quadratic formula.

\(x=\frac{-b+or- √b^{2}-4ac }{2a}\)

(sub a,b and c)

\(x=\frac{-1+or- √1^{2}-4*2*15 }{2*2}\)

(simplify)

\(x=\frac{-1+or-√-119}{4}\)

(write the two possible answers)

\(x=-\frac{1+i√119}{4}\)  

AND

\(x=-\frac{1-i√119}{4}\)

Answer:

7.50 + 14P < 60; 24 slices

Step-by-step explanation:

The integral |cos(inx)| dx can be expressed as:

|cos(inx)| = -(1/in) sin(inx)  for π/(2n) ≤ x ≤ π/n

The summing of discrete data is indicated by the integration. To determine the functions that will characterize the area, displacement, and volume that result from a combination of small data that cannot be measured separately, integrals are calculated.

To evaluate the integral ∫|cos(inx)| dx, we can break it down into two parts based on the periodicity of the absolute value function:

∫|cos(inx)| dx = ∫cos(inx) dx    for 0 ≤ x ≤ π/(2n)

             = -∫cos(inx) dx   for π/(2n) ≤ x ≤ π/n

Now, let's focus on the first part of the integral:

∫cos(inx) dx    for 0 ≤ x ≤ π/(2n)

We can use the substitution u = inx, which implies du = in dx. Rearranging, we have dx = du/(in). Substituting these values, we get:

∫cos(u) (1/in) du = (1/in) ∫cos(u) du

Integrating cos(u) with respect to u gives us sin(u):

(1/in) ∫cos(u) du = (1/in) sin(u) + C

Now, let's evaluate the second part of the integral:

-∫cos(inx) dx   for π/(2n) ≤ x ≤ π/n

Using the same substitution u = inx, we can rewrite the integral as:

-∫cos(u) (1/in) du = -(1/in) ∫cos(u) du

Again, integrating cos(u) with respect to u gives us sin(u):

-(1/in) ∫cos(u) du = -(1/in) sin(u) + C

Now we have evaluated both parts of the integral. Combining the results, we get:

∫|cos(inx)| dx = (1/in) sin(inx)   for 0 ≤ x ≤ π/(2n)

             = -(1/in) sin(inx)  for π/(2n) ≤ x ≤ π/n

Therefore, the integral |cos(inx)| dx can be expressed as:

|cos(inx)| = (1/in) sin(inx)   for 0 ≤ x ≤ π/(2n)

          = -(1/in) sin(inx)  for π/(2n) ≤ x ≤ π/n

Note: The second part of the integral could also be written as (1/in) sin(inx) with a negative constant of integration, but for simplicity, we have used the negative sign inside the integral.

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Answer:

x = 2

Step-by-step explanation:

X is the vertical edge

x=2

Answer: x = 2

Step-by-step explanation:

The slope of a vertical line is undefined, so the equation of a vertical line is x = a

In this problem, the only choice that represents a vertical line is x = 2 (where a = 2)

Johnson Chemicals should choose Option 2, which uses two suppliers located in different countries. Option 1, which uses two local suppliers, has a higher risk of a total shutdown, as it is possible for both suppliers to be affected by the same event. The probability of a total shutdown is 0.090 for Option 1, and 0.075 for Option 2.

The risk of a total shutdown for Option 1 is calculated by multiplying the probability of a unique event by the probability of a super event. The probability of a unique event is 4.5%, and the probability of a super event is 1.3%. This gives a total risk of 0.063%.

The risk of a total shutdown for Option 2 is calculated in the same way, but the probability of a super event is lower, as it is less likely that two suppliers in different countries will be affected by the same event. The probability of a super event for Option 2 is 0.2%. This gives a total risk of 0.024%.

As you can see, Option 2 has a lower risk of a total shutdown than Option 1. This is because it is less likely that both suppliers will be affected by the same event. Therefore, Johnson Chemicals should choose Option 2.

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Answer:83 1/3

Step-by-step explanation: Converting all of these to improper fractions gives us 173/9 + 221/8 + 259/7. Let's first worry about adding 173/9 and 221/8. To get a common denominator lets simply use 72 (8x9). The adjusted fractions are 1384/72 + 1989/72. Now we just do simple addition, we get 3373/72. Now the pesky 259/7. We will repeat the same process, let's use 504 as a denominator now (7x72). We now have 23611/504 + 18389/504 making our final answer 42000/504 or 250/3 or 83 1/3 simplified.

The inequality to show the weight limit for the elevator is w < 1,800.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal.

Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

In this situation, the sign clearly stated that the total weight in the elevator must be less than 1,800 pounds.

The inequality will be:

w < 1800 where w is the weight.

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Answer:

(Excluding Xion) Each person will get 2 1/4 brownies

Step-by-step explanation:

9 brownies distributed equally to 4 friends.  If each person gets two brownies, there is one left over.  Divide 1 by 4 and you get 1/4.  1/4 in decimal form is 0.25.  2+0.25=2.25

Or you could just use a calculator to divide 9 by 4 and it would come up with 2.25

Answer:

Below

Step-by-step explanation:

Using       a = -2     b = -10       c = -12      in the Quadratic  Formula given

 will show x =   -2  and  -3

Answer:

$146.66

Step-by-step explanation:

I bopped this into a percentage calculator and this is what I got

Answer:

f(4) =2

Step-by-step explanation:

f(x) = 22 - 5x

Let x= 4

f(4) = 22 - 5*4

Multiply first

     22 - 20

      2

f(4) =2

Answer: 2

Explanation:

f(x) = 22 - 5x

f(4) = 22 - 5(4)

f(4) = 22 - 20

f(4) = 2

Answer:

4a^2

Step-by-step explanation:

GCF of 12 and 32 is 4.

GCF of a^3 and a^2 is a^2.

Therefore, the answer is 4a^2.

The butterfly spread is constructed using the following three calls: - Buy 1 call with an exercise price of 120 at a price of $15.40.- Sell 2 calls with an exercise price of 125 at a price of $13.50 each.- Buy 1 call with an exercise price of 130 at a price of $11.35.


A butterfly spread involves buying one option with a lower exercise price, selling two options with a middle exercise price, and buying one option with a higher exercise price. In this case, we buy the call with an exercise price of 120, sell two calls with an exercise price of 125, and buy the call with an exercise price of 130.

To analyze the strategy, we need to consider the stock price at expiration. The breakeven stock prices are calculated by adding and subtracting the net debit or credit from the middle exercise price. In this case, the net debit is $1.60 ($15.40 – 2*$13.50 + $11.35), so the breakeven prices are $121.40 ($125 - $1.60) and $128.60 ($125 + $1.60).

The maximum profit of $1.60 occurs when the stock price is exactly at the middle exercise price of 125 at expiration. In this case, the two sold calls expire worthless, and the two bought calls have intrinsic value of $5 each. The minimum profit of -$1.40 occurs when the stock price is below $121.40 or above $128.60 at expiration. In this situation, all the options expire worthless, resulting in a loss of the net debit.

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The total number of ways to get from (0,0) to (7,4) while passing through (1,1) using only right and up movements is the product of the number of ways for each sub problem: \(1 \times 60 \times 24 = 1,440\).

To get from (0,0) to (7,4) while passing through (1,1) using only right and up movements, we can break down the problem into three smaller sub problems:

Get from (0,0) to (1,1)

Get from (1,1) to (7,1)

Get from (7,1) to (7,4)

To solve the first sub problem, we need to take one step to the right and one step up. There is only one way to do this.

To solve the second sub problem, we need to take six steps to the right and zero to three steps up. We can represent this as a sequence of R's (right) and U's (up), with exactly six R's and between zero and three U's. There are four ways to choose the positions of the U's in the sequence (no U's, one U, two U's, or three U's). For each choice of U positions, the sequence can be arranged in (6 choose 2) = 15 ways (because we need to choose two positions out of the eight total positions for the R's and U's). So there are \(4 \times 15 = 60\) ways to get from (1,1) to (7,1).

To solve the third sub problem, we need to take three steps up and zero to seven steps to the right. We can represent this as a sequence of R's and U's, with exactly three U's and between zero and seven R's. There are eight ways to choose the positions of the R's in the sequence (no R's, one R, two R's, ..., seven R's). For each choice of R positions, the sequence can be arranged in (3 choose 1) = 3 ways. So there are \(8 \times 3 = 24\) ways to get from (7,1) to (7,4).

Therefore, the total number of ways to get from (0,0) to (7,4) while passing through (1,1) using only right and up movements is the product of the number of ways for each sub problem: \(1 \times 60 \times 24 = 1,440.\)

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Answer:

hope this helps, this is the fastest I could do

Answer:

(Choice A) A 16:10

(Choice C) C 48:30

(Choice D) D 32:20

Step-by-step explanation:

Given ratio

8 : 5

Select three ratios that are equivalent to 8:5

Check all options

(Choice A) A 16:10

= 16 / 10

Dividing by 2

= 8 / 5

= 8 : 5

(Choice B) B 50:80

= 50 / 80

Dividing by 10

= 5 / 8

= 5 : 8

(Choice C) C 48:30

= 48 / 30

Dividing by 6

= 8 / 5

= 8 : 5

(Choice D) D 32:20

= 32 / 20

Dividing by 4

= 8 / 5

= 8 : 5

(Choice E) E 64:35

= 64 / 35

The equivalent ratios to 8 : 5 are

(Choice A) A 16:10

(Choice C) C 48:30

(Choice D) D 32:20

A sample must she select if she desires to be 95% confident that her estimate is within 2 ounces of the true mean is 21.

\(n = [z*s/E]^2\\n = [1.96*7/3]^2 = 21\) when rounded up

Ounces are a unit of measurement commonly used to measure weight or volume. There are two main types of ounces: avoirdupois ounces and fluid ounces. Avoirdupois ounces are used to measure the weight of solid objects and are part of the Imperial system of units. One avoirdupois ounce is equal to 28.35 grams or 1/16th of a pound. This type of ounce is commonly used to measure the weight of food, jewelry, and other small objects.

Fluid ounces are used to measure the volume of liquids and are also part of the Imperial system. One fluid ounce is equal to 1/128th of a gallon or 29.57 milliliters. This type of ounce is commonly used to measure the volume of drinks, medication, and cooking ingredients.

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Answer:

Rational

Rational

Rational

Rational

Rational

Irrational

Irrational

Rational

Step-by-step explanation:

First we need to establish what a rational, and a irrational numbers are.  A rational number are basically integers that can be written as fractions which means any of the options that are integers or fractions are in fact rational numbers. A irrational number are basically numbers that cannot be written as a fraction which means things like repeating decimals or just numbers that cannot be expressed as a fraction of two other whole numbers.

First option:

\(-4+23\)

\(-4 + 23=19\)

19 is a rational number because it can be expressed as two integers which are 1 and 19

Second option:

\(\frac{2}{3} +\frac{1}{2}\)

Both are fractions which means the sum will be a fraction which also means it is a rational number since we previously established that every fraction is a rational number.

Third option:

\(-\frac{1}{2} + 12\)

You can write 12 as a fraction which is 12/1 and then solve which the sum will also be a fraction which means it will also be a rational number.

Fourth Option:

\(\frac{2}{5} +15\)

15 can be written as 15/1 which means it is a rational number which also means the sum of the two fractions will also be a rational number.

Fifth option:

Adding fractions, fractions are rational numbers which means the sum will also be a rational number

Sixth option:

Pie is a infinite decimal number which means it is irrational because it cannot be written as a fraction.

Seventh option:

\(\sqrt[]{3} +\frac{5}{8}\)

/3 cannot be written as a fraction which means the entire equation is irrational because a rational plus a irrational number will always equal a irrational number.

Eighth option:

\(3.25+4.17\)

Since how these decimals are not repeating they are both rational numbers.

Hope this helps.

Answer:

Where are the answers

Step-by-step explanation:

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

The quadrilateral has two pairs of opposite parallel sides and (from the graphing of the points) it is slanted from the vertical, therefore, it is a;

B. Parallelogram

Step-by-step explanation:

The coordinates of the vertices of the given quadrilateral are;

(0, 0), (-2, 3), (7, 0), (5, 3)

Arranging the coordinates according to their y-values and labelled gives;

A(-2, 3), B(5, 3), C(0, 0), D(7, 0)

The graph of the points created with Microsoft Word and Microsoft Excel is attached

From the graph, we have;

Segment AB is parallel to segment CD

The length of segment AB = √((5 - (-2))² + (3 - 3)²) = 7

The length of segment CD = √((7 - 0)² + (0 - 0)²) = 7

∴ The length of segment AB = The length of segment CD

The distance between segment AC and segment BD = Length of segment AB at point A = Length of segment CD at point C

∴ Segment AC is parallel to segment BD (The distance between two parallel lines is the same all through)

The quadrilateral is also observed to be slant from the vertical

Therefore the quadrilateral is a parallelogram

188.4 inches square.............

Answer:

1884

Step-by-step explanation:

Answer:

Can you put it in order i dont get it

Answer:

?????????????????????????

Answer:

Step-by-step explanation:

add up the total people in the survey

7 + 33 + 56 + 42 + 12 = 150

divide 12 by 150 = .08   or 8%

now multiply .08 * 100,000 = 8,000

so B looks like a good answer

For a triangle with base of 10 inches and altitude of 16 inches, its area will be 80 in² (third option).

Calculation For the Area of the Triangle:

It is given that,

The base of the triangle, B = 10 inches

The altitude from the base of the triangle or height, H = 16 inches

Now, the formula used for finding the area of a triangle is given as follows,

Area, A = (1/2) × B × H

Substituting the given values of B and H in the above formula for area, we get,

A = (1/2) × (10 inches) × (16 inches)

A = 5 × 16 inches²

A = 80 inches²

Thus, the area of the triangle have base 10 inches and altitude 16 inches is 80 square inches.

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Answer:9

Step-by-step explanation: