What is the critical value z* for constructing an 80% confidence interval?

You can't simplify it any further since you can't combine numbers with variables with numbers without variables.

Answer: Marsha earned $375 in interest. ✅

Step-by-step explanation:

Multiply the amount Marsha deposited, which was $7,500, by the interest rate, which was 5%. 5% of $7,500 is $375, so that's the amount of interest Marsha earned.

The largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) is 15

Divisor of a Number :  

A Divisor is any number that divides a given number completely or with a reminder. Where a factor, is a divisor that divides the number entirely and leaves no remainder.

Here we have,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  

And n is a positive even integer  

For n = 2 ⇒  (2 + 1)(2 + 3)(2 + 5)(2 + 7)(2 + 9) = (3× 5 × 7 × 9 × 11 )    

For n = 4 ⇒   (4 + 1)(4 + 3)(4 + 5)(4 + 7)(4 + 9) = (5× 7 × 9 × 11 × 13 )

and so on.

From the above calculations,

we can say that (n + 1); (n + 3); (n + 5); (n + 7); (n + 9) are 5 consecutive odd numbers  

In every 5 consecutive odd positive integers,

One of them is always divisible by 3

And one of them is always divisible by 5.

Therefore,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will be divisible by both 3 and 5

As we know product of 3 and 5 = 15

then (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will also divisible by 15

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The complete question is

What is the largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) for all positive even integers n?  

(A) 3         (B)  5        (C)  11          (D) 15             (E)  165    

Maria is conducting a pricing research study. This is a form of market research that involves determining the optimal price point for a product or service by analyzing consumer demand and determining the costs of production.

In Maria's case, she starts by placing a low price on her cookies and gradually raises it each week, tracking the number of cookies sold each week. This helps her determine the relationship between price and demand, which can help her determine the price point that results in the highest profit margin.

She also takes into account the cost of production, including ingredients and overhead, to ensure that her pricing strategy is sustainable in the long term. With this information, Maria can determine which price was the most profitable, and use this information to set the price for her cookies going forward.

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The proportion of candy bars with fewer than 200 calories cannot be determined without additional information.

To calculate the proportion of candy bars with fewer than 200 calories, we need to know the total number of candy bars and the number of candy bars that have fewer than 200 calories.

Without this information, we cannot determine the proportion. The number of candy bars with fewer than 200 calories could vary greatly depending on the specific dataset or context.

The proportion of candy bars with fewer than 200 calories cannot be determined without additional information regarding the total number of candy bars and the number of candy bars that fall into that category.

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Answer:

C

Step-by-step explanation:

-18x+2y>=-13

2y>= -13+18x

y>= -6.5+9x

1.  - 62.34

2. - 1.4997

3. - $76.49

4. - 23.29

5. - 0.27

6. - $28.26

7. - 0.378

8. - 7.08

9. - 0.3

10. - 1.64

Answer:

1. 62.34

2. 1.4997

3. $76.49

4. 23.29

5. 0.27

6. $28.26

7. 0.378

8. 7.08

9. 0.3

10. 1.64

Answer:

Ana

Step-by-step explanation:

Given that:

Ana's location = −30feet below sealevel

Chuyen's location = − 12feet below sea level

Sea level = point 0 ;

-30 feets below sea level

A depth of - 30, below the water surface.

A depth of - 12 below sea level ; a depth of 12 feets below the water surface

-30 feets is farther below the water surface than - 12 feets

Hence, Ana is farther below the sea level than Chuyen

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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The chemicals under considerationm an important quantity is the total proportion Y1 +Y2 found in any sample.V(Y1 + Y2) = Var(Y1) + Var(Y2) + 2Cov(Y1, Y2) = 1/18 + 1/18 + 2(1/144) = 5/72.

To find E(Y1 + Y2), we first find the marginal distribution of Y1 and Y2 by integrating the joint density function over the other variable as follows:

f1(y1) = ∫f(y1,y2)dy2 = ∫2dy2 from 0 to 1-y1 = 2(1-y1) for 0 ≤ y1 ≤ 1

f2(y2) = ∫f(y1,y2)dy1 = ∫2dy1 from 0 to 1-y2 = 2(1-y2) for 0 ≤ y2 ≤ 1

Now we can find E(Y1 + Y2) as follows:

E(Y1 + Y2) = ∫∫(y1 + y2)f(y1,y2)dy1dy2

= ∫∫(y1 + y2)2dy1dy2 over the region 0 ≤ y1 ≤ 1-y2, 0 ≤ y2 ≤ 1

E(Y1 + Y2) = ∫0^1∫0^(1-y1) (y1 + y2)2dy2dy1

= ∫0^1[y1(y1/2 + 2/3) + 1/3]dy1

= 7/12

To find V(Y1 + Y2), we can use the fact that V(Y1 + Y2) = V(Y1) + V(Y2) + 2Cov(Y1, Y2), where Cov(Y1, Y2) is the covariance of Y1 and Y2. First, we need to find the variances of Y1 and Y2:

Var(Y1) = E(Y1^2) - [E(Y1)]^2 = ∫∫y1^22dy1dy2 - [∫∫y1f(y1,y2)dy1dy2]^2

= ∫0^1∫0^(1-y1) y1^22dy2dy1 - [∫0^1(2y1-2y1^2)dy1]^2

= 1/18

Var(Y2) = E(Y2^2) - [E(Y2)]^2 = ∫∫y2^22dy1dy2 - [∫∫y2f(y1,y2)dy1dy2]^2

= ∫0^1∫0^(1-y2) y2^22dy1dy2 - [∫0^1(2y2-2y2^2)dy2]^2

= 1/18

Now we need to find the covariance of Y1 and Y2:

Cov(Y1, Y2) = E(Y1Y2) - E(Y1)E(Y2) = ∫∫y1y2f(y1,y2)dy1dy2 - (∫∫y1f(y1,y2)dy1dy2)(∫∫y2f(y1,y2)dy1dy2)

= ∫0^1∫0^(1-y1) 2y1y2dy2dy1 - (7/12)(7/12)

= 1/144

Therefore, V(Y1 + Y2) = Var(Y1) + Var(Y2) + 2Cov(Y1, Y2) = 1/18 + 1/18 + 2(1/144) = 5/72.

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Answer:

The slope is 1 or 9/9 mark me brainliest

Step-by-step explanation:

-3 - -12 is 9 and 15 - 6 is 9. That is 1 or 9/9 pls mark brainliest

The solution to the equation is x = -2, -1.46, -1, x = 5.46

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

0 = x^{5}+x^{4}-20x^{3}-68x^{2}-80x-32

Express properly

So, we have

x^5 + x^4 - 20x^3 -68x^2 -80x - 32 = 0

Next, we plot the graph of x^5 + x^4 - 20x^3 -68x^2 -80x - 32 = 0 to determine the solution graphically

See attachment for graph

From the graph, we have

x = -2, -1.46, -1, x = 5.46

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To ensure the preservation of the clinical specimen for viral isolation, it should be stored at a specific temperature. The recommended temperature for storing the specimen is generally between 2 to 8 degrees Celsius (36 to 46 degrees Fahrenheit).

Storing the clinical specimen in viral transport medium at a temperature range of 2 to 8 degrees Celsius (36 to 46 degrees Fahrenheit) is commonly advised for preserving the viability of the virus. This temperature range helps to slow down the viral activity and prevents the specimen from deteriorating while awaiting processing. It provides an environment that can maintain the integrity of the viral particles until laboratory procedures can be carried out the following week. It's important to follow the recommended storage temperature to ensure accurate results and successful viral isolation from the specimen.

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Answer: To create a 1000 mL of a 60% vinegar solution, we need 600 mL of pure vinegar and 400 mL of water.

Let x be the amount of 40% vinegar solution and y be the amount of 85% vinegar solution used.

We know that:

x + y = 1000 mL (the total volume)

0.4x + 0.85y = 0.6(1000) (the amount of vinegar)

Solving for x and y:

x = (0.6(1000) - 0.85y) / 0.4

x + y = 1000

By substituting the first equation into the second, we get:

(0.6(1000) - 0.85y) / 0.4 + y = 1000

Solving for y:

y = 400 mL

x = (0.6(1000) - 0.85(400)) / 0.4 = 200 mL

So, 400 mL of 85% vinegar solution and 200 mL of 40% vinegar solution are used.

Step-by-step explanation:

Answer:

Number of alphabets in English = 26 Number of vowels = 5 (a, e, i, o ,u) So, the probability of choosing a vowel = 5/ 26.

Answer:

268.08 (268)

Step-by-step explanation:

The volume of a sphere is 4/3*pie*r^3

After analyzing the figures it is clear that the next step in the series would be a circle with 5 points on it. The correct option is option D.

The pattern in this series appears to be an increase of one with each new circle in the number of points drawn in the circle. A triangle is formed by the first circle's two points and a rectangle by the second circle's three points.

Similarly, a square is formed by the third's four points. This implies that the fourth circle's fifth point will be connected to the others to form a pentagon.

Therefore, the correct option is circle with 5 points forming a pentagon i.e. option D.

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Answer:

A

Step-by-step explanation:

You can tell it has a negative slope because the line is moving down

hope this helps <3

Answer: 2 easy

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Hope this helps and pls mark brainlist if it’s incorrect I will check it

The surface area  of the given volume of the rectangular prism is equal to 13.86 square centimeters.

Volume of the rectangular prism is 6 cubic centimeters.

Let the dimensions of the rectangular prism be length (l), width (w), and height (h).

Volume of the rectangular prism = l x w x h

⇒ l x w x h = 6

Use the given volume to find one of the dimensions .

Then use that information to find the surface area.

To calculate the surface area at least two of the dimensions known.

Let us assume that the height (h) is 1 centimeter.

⇒l x w x 1 = 6

⇒ l x w = 6

Use this equation to solve for one of the dimensions.

⇒ l = 6/w

Substituting this value of l into the surface area formula, we get,

Surface area = 2lw + 2wh + 2lh

⇒Surface area = 2(6/w)w + 2w(1) + 2(6/w)(1)

⇒Surface area = 12/w + 2w + 12/w

⇒Surface area = 2w + 24/w

Value of w that gives the minimum surface area,

Take the derivative of the surface area formula with respect to w and set it equal to 0,

d/dw (2w + 24/w) = 0

⇒ 2 - 24/w^2 = 0

Solving for w, we get,

⇒w = √(12)

Substituting this value of w back into the surface area formula, we get,

⇒ Surface area = 2(√(12)) + 24/√(12)

⇒Surface area = 4√3 + 4√3

⇒Surface area = 8√3

⇒ Surface area = 13.86 square centimeters

Therefore, the surface area of the rectangular prism is approximately 13.86 square centimeters.

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Answer:

D) (2,-1)

Step-by-step explanation:

These are two concentric circles of radius 3 and 4 at the origin. That means that any point within the inner is also within the outer. So focusing on the inner, the points plugged into its equation must be less than or equal to the radius squared or 9. That is only valid with point D.

Answer:

Imao 5

Step-by-step explanation:

just divide

Answer:

5 cups.

Step-by-step explanation:

The egg to flour ratio is 7:35

If you narrow it down, it is 1:5

You have to divide it.

The common ratio of the sequence is 0.4 .

What is geometric sequence ratio ?

  Each term in a geometric sequence is found by multiplying or dividing the previous term by the same amount, this is called the common ratio. To find the common ratio, start by calculating the difference between each pair of numbers, moving from one term to the next.

Here the given sequence is ,

=> \(\frac{35}{2},7 , \frac{14}{5},\frac{28}{25}\)

Here the first term \(a_1\) = \(\frac{35}{2}\) and \(a_2=7\)

Now the common ratio is r = \(\frac{a_2}{a_1}\)

=> r = \(\frac{7}{\frac{35}{2} }\)

=> r = \(\frac{7*2}{35}\)

=> r = \(\frac{2}{5}\)

=> r = 0.4

Therefore the common ratio is 0.4 .

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Answer:

15. 2

16. \(\frac{27}{16}\) or 1.6875

17. \(\frac{17}{30}\) or 0.5666666667

18. 5

19. \(\frac{35}{8}\) or 4.375

20. \(\frac{22}{5}\) or 4.4

Step-by-step explanation:

Find common denominators. Multiply then simplify (if possible).

According to the information we can infer that the rate of a bread dough's fermentation will increase if the ratio of whole grain flour in the bread formula increases.

When the ratio of whole grain flour in a bread formula increases, the rate of bread dough fermentation also increases. Whole grain flour contains enzymes that break down starches and proteins, accelerating fermentation.

Additionally, it also provides more natural sugars and nutrients that promote yeast growth and fermentation. As a result, increasing the ratio of whole grain flour in the bread formula speeds up the fermentation process.

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According to the given statement Liam is incorrect because average speed is 34.28 miles per hour.

The average scores of a body's speed over a duration of time is its average speed. Because a moving body's speed is not constant over time and fluctuates, the average speed formula is required.

The overall distance the thing travels in a given amount of time is its average speed. A scalar value symbolizes the average speed. It has no direction and therefore is indicated by the magnitude.

Distance covered in first three hours = 40 × 3 = 120 miles

Time taking to covered remaining 120 miles = 120/30

                                                                          = 4 hours

Total time = 4 hours + 3 hours = 7 hours

Total distance = 120 miles + 120 miles

                        = 240 miles

Average speed = total distance /  total time

Average speed = 240 miles / 7 hours = 34.28 miles per hour

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Answer:

21

Step-by-step explanation:

21

The order approximately 1.1111 cubic yards of topsoil from the dirt store.

The volume of topsoil required in cubic feet.

The area of the garden is:

The area of the garden is found by multiplying the length and width of the garden. In this case, the garden is 15 feet by 12 feet, so the area is 15 ft x 12 ft = 180 sq ft.

Since we want a 2 inch thick layer of topsoil, we need to convert the thickness to feet:

2 inches = 2/12 feet = 0.1667 feet

The volume of topsoil required in cubic feet is therefore:

180 sq ft × 0.1667 ft = 30 cubic feet

To convert this to cubic yards, we divide by 27 (since there are 27 cubic feet in a cubic yard):

The dirt store sells topsoil by the cubic yard, so we need to convert our answer from cubic feet to cubic yards. Since there are 27 cubic feet in a cubic yard (3 feet x 3 feet x 3 feet)

30 cubic feet ÷ 27 = 1.1111 cubic yards

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