A study of 420,037 cell phone users found that 0.0331% of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0361% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 95% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. %

Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

__

Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

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The predicted sales for this store are $68,988.

a) Predicted sales for a store with 2 competitors, a population of 10,000 within 1 mile, and one drive-up window

Using the given regression model:

Y = 18 - 2(X1) + 7(X2) + 15(X3)

Where,

X1 is the number of competitors within 1 mile

X2 is the population within 1 mile

X3= 1 if drive-up windows are present, 0 otherwise

Therefore, for a store with 2 competitors, a population of 10,000 within 1 mile, and one drive-up window,

X1 = 2

X2 = 10000

X3 = 1

Substituting the values in the regression model,

Y = 18 - 2(2) + 7(10000) + 15(1)

Y = 69,988

Therefore, the predicted sales for this store are $69,988.

b) Predicted sales for a store with 2 competitors, a population of 10,000 within 1 mile, and no drive-up window

For a store with 2 competitors, a population of 10,000 within 1 mile, and no drive-up window,

X1 = 2

X2 = 10000

X3 = 0

Substituting these values in the regression model,

Y = 18 - 2(2) + 7(10000) + 15(0)

Y = 68,988

Therefore, the predicted sales for this store are $68,988.

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In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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The statement that represents the ratio of cars to trains would be = 3 over 1. That is option C.

A ratio is defined as the expression that represents the comparison between two values.

The collection of vehicle models of Alex include the following:

The number of airplane = 8

The number of trains = 4

The number of cars = 12

Therefore, the ratio of cars to train = 12:4

This is further reduced to a simplest form;

= 12:4 ( divide through by 4)

= 3:1

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The Economic Order Quantity (EOQ) formula is used to compute the optimal quantity of an inventory to order at any given time. It is calculated by minimizing the cost of ordering and carrying inventory, and it is an important element of supply chain management.

According to the problem given, the following information is given:Demand = 100 bags / weekOrder cost = $55 / orderAnnual holding cost = 25% of costDesired cycle-service level = 92%Lead time = 4 week(s) (20 working days)Standard deviation of weekly demand = 13 bagsCurrent on-hand inventory is 350 bags, with no open orders or backorders.a. To calculate the Economic Order Quantity (EOQ), we need to use the formula:EOQ = √[(2DS)/H],whereD = Demand per periodS = Cost per orderH = Holding cost per unit per period. Substitute the given values,D = 100 bags/weekS = $55/orderH = 25% of cost = 0.25Total cost of inventory = S*D + Q/2*H*DIgnoring Q, the above expression is the annual ordering cost. Since we know the annual cost, we can divide the cost by the number of orders per year to obtain the average cost per order.Substituting the given values in the above formula,

EOQ = √[(2DS)/H] = √[(2*100*55)/0.25] = 420 bags

Sam's optimal order quantity is 420 bags. Hence, the answer to this part is 420.b. To calculate the reorder point (R), we use the formula:R = dL + SS,whereL = Lead timed = Demand per dayS = Standard deviation of demandSubstituting the given values,d = 100 bags/weekL = 4 weeksS = 13 bags/week

R = dL + SS = (100*4) + (1.75*13) = 425 bags

Therefore, the reorder point is 425 bags.c. If the inventory withdrawal of 10 bags has been made, we can calculate the new on-hand inventory using the formula:On-hand inventory = Previous on-hand inventory + Received inventory – Issued inventoryIf there are no open orders,Received inventory = 0Hence,On-hand inventory = 350 + 0 – 10 = 340Since the current on-hand inventory is more than the reorder point, it is not time to reorder. Therefore, the answer to this part is "It is not time to reorder."d. Annual holding cost of the current policy is the product of the holding cost per unit per period and the number of units being held.Annual holding cost =

(350/2) * 0.25 * 55 = $481.25

The annual holding cost is $481.25.Annual ordering cost = Total ordering cost / Number of orders per yearIf we assume 52 weeks in a year,Number of orders per year = 52/4 = 13Total ordering cost = 13 * $55 = $715Annual ordering cost = $715/13 = $55Therefore, the annual ordering cost is $55.

The Economic Order Quantity (EOQ) formula is used to compute the optimal quantity of an inventory to order at any given time. Sam's optimal order quantity is 420 bags. The reorder point is 425 bags. If there is an inventory withdrawal of 10 bags, then it is not time to reorder. The annual holding cost is $481.25. The annual ordering cost is $55. The average time between orders is 4.46 weeks.

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Answer:

48

Step-by-step explanation:

a = bh

a = 6x 8 = 48

They throw the hypotenuse or the long side which in this case is 10in to try to throw people off. You don't need it in this problem.

885 mini bears

974 regular bears equals the size of a super bear while 1859 mini bears eqauls the size of a super bear therefore,there are 885 mini bears more than regular bears to make the size of a super bear.

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Answer:

7

Step-by-step explanation:

4+3=7

Answer:

There were 12 gold coins in the chest at the start.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = Number of gold coins in a chest

1/2x = Number of gold coins taken by the captain

1/4x = Number of gold coins taken by Sally

3 = Number of gold coins left

2. How many coins were in the chest at the start?

Let's write the following equation to solve for x:

1/2x + 1/4x + 3 = x

2x + x + 12 = 4x (Lowest Common Denominator is 4)

4x - 2x - x = 12 (Like terms)

x = 12

There were 12 gold coins in the chest at the start.

Hope this helps :D

Your answer should be 876.

Answer:

876,000

Step-by-step explanation:

876,000

Answer:

45 miles to 1 hour

45 mph

Answer:

45 miles in 1 hour

Step-by-step explanation:

you divide 5 hrs into 225 miles to get the unit rate of 1:45.

Answer:

A rhombus

Step-by-step explanation:

A rhombus has 4 sides that are all congruent.

Answer:

Square

Parallelogram

Rhombus

Step-by-step explanation:

I think...lol, sorry if this isn’t what you were asking for.

Answer:

looks like 30

Step-by-step explanation:

The location of point N is -20.

We  can see a number line with 3 points.

Here we know taht MN is 2/7 of MP, so first let's find the length of MP.

The length is equal to the difference between the two values, we can see that:

P = -5

M = -26

Then the length of MP is:

-5 - (-26) = 21

And MN is 2/7 of that, then:

(2/7)*21 = 2*3 =6

Then we can write:

N - M = 6

N - (-26) = 6

N = 6 - 26 = -20

The location of N is -20.

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Answer:

25%

Step-by-step explanation:

Gerald has a $30 increase in his bill. 1/4, or 25% of 120 is 30.

Answer: A monomial representation is a way to express a polynomial as a product of powers of its variables, where each power is a non-negative integer. For example, the polynomial 2x^3 + 4x^2 - 6x + 8 can be represented as a monomial representation of (2x^3)(x^2)(-6x)(8).

Symmetric polynomials are polynomials that are invariant under permutation of their variables. A symmetric presentation is a way of expressing a symmetric polynomial as a sum of elementary symmetric polynomials, which are defined as the sum of all possible products of variables taken i at a time, where i ranges from 1 to the number of variables. For example, the symmetric polynomial x^3 + y^3 + z^3 can be expressed as a symmetric presentation of x + y + z.

Step-by-step explanation:

Answer:

2 , -4 , (2,0)

Step-by-step explanation:

The slope of the linear function is 2.

The y-intercept of the linear function is -4.

The solutions of the linear function are (0, -4), (1, -2), (2, 0), etc..

The graph is given below.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The linear function is y = mx + c

The linear function passes through (-2, -8) and (1, -2)

Now,

m = (-2 + 8) / (1 + 2)

m = 6/3

m = 2

The slope of the linear function is 2.

Now,

(-2, -8) = (x, y)

-8 = 2 x (-2) + c

-8 = - 4 + c

c = -8 + 4

c = -4

The y-intercept is -4.

The equation of the linear function.

y = 2x - 4

The solution of the line are (0, -4), (1, -2), (2, 0), etc..

When x = 0,

y = -4

When x = 1,

y = -2

When x = 2,

y = 0

Now,

The graph of the line is given below.

Thus,

The slope is 2.

The y-intercept is -4.

The solutions are (0, -4), (1, -2), (2, 0), etc..

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Answer:

- 334

Step-by-step explanation:

There is a common difference between consecutive terms in the given sequence, that is

d = 2 - 9 = - 5 - 2 = - 7

This indicates the sequence is arithmetic with n th term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = - 7 , thus

\(a_{50}\) = 9 + (49 × - 7) = 9 - 343 = - 334

Since the x's both are to a power and have exponents outside of the parenthesis, we multiply the inner exponent by the outer exponent.

x^-150 / x^-144

Then, we need to move the bottom term to the top so that we have no negative exponents. Now, we are technically subtracting, but subtracting a negative is the same thing as adding.

x^(-150 + 144)

x^-6

Hope this helps!

Answer:

so your answer is -6

Step-by-step explanation:

\(\frac{(x^2^5)^-^6}{(x^-^3)^4^8}\)  Did i write the equation right? If so you would multiply the exponents

x^-150                                                                            x^144

----------   so you then flip the two and get                  ----------

x^-144                                                                            x^150

then you would subtract the exponents like this 144-150= -6

Step-by-step explanation:

7x6=42. 7+35=42. The numbers are 7 and 42.

The number of volunteers needed for each case is given as follows:

a. 0.4 miles: 5.

b. 2/7 miles: 7.

c. 0.125 miles: 16.

d. 6/45 miles: 15.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using the unit rates of the context of the problem along with basic arithmetic operations, especially multiplication and division.

In this problem, a two mile section will be cleaned, hence the number of volunteers needed is calculated as follows:

n = 2/s.

In which s is the section cleaned by each volunteer.

In item a, the section is of 0.4 miles, hence the number of volunteers is given as follows:

n = 2/0.4 = 5 volunteers.

In item b, the section is of 2/7 miles, hence the number of volunteers is given as follows:

n = 2/(2/7) = 2 x 7/2 = 7 volunteers.

In item c, the section is of 0.125 miles, hence the number of volunteers is given as follows:

n = 2/0.125 = 2/(1/8) = 2 x 8 = 16 volunteers.

In item d, the section is of 6/45 miles, hence the number of volunteers is given as follows:

n = 2/(6/45) = 2 x 45/6 = 90/6 = 15 volunteers.

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A. Suki typed 175/7 words per minute. B. It takes Suki 7/490 minutes per word.

A. To find the number of words per minute, we can divide the total number of words by the total time:

words per minute = 245 words / (3 1/2 minutes)

words per minute = 245 words / (7/2 minutes)

words per minute = 245 * 2 / 7 words/minute

words per minute = 175/7 words/minute

So, Suki typed 175/7 words per minute.

B. To find the number of minutes per word, we can divide the total time by the total number of words:

minutes per word = (3 1/2 minutes) / 245 words

minutes per word = (7/2 minutes) / 245 words

minutes per word = 7/2 * 1/245 minutes/word

minutes per word = 7/490 minutes/word

So, it takes Suki 7/490 minutes to type one word.

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3 1/2 minutes at 245 words per minute.

245 syllables per minute / 7 and a half minutes.

syllables per minute are calculated as 245 * 2/7.

175/7 words per minute is the word speed.

Suki's typing speed was 175/7 lines per minute.

hours per word equals (3 1/2 hours) / 245 words

syllables per minute = (7/2 minutes) / 245

minutes per word equals 7/2 * 0.245 minutes per word.

words/minute ≈ 7/490 minutes/word

Answer:

The length of HG = 11 units

Step-by-step explanation:

We know that opposite sides of a parallelogram are equal.

so

and

Given that

FG = 2x+5

so

EH = 2x+5

also

EF = 3x-10

so

GH = 3x-10

Given that the Perimeter of a parallelogram = 60

As the perimeter of a parallelogram is the sum of all the sides, so

FG + EH + EF + FH = 60

substituting FG = 2x+5, EH = 2x+5, EF = 3x-10, GH = 3x-10

(2x+5) + (2x+5) + (3x-10) + (3x-10) = 60

remove parenthese

2x+5 + 2x+5 + 3x-10 + 3x-10 = 60

group similar elements

2x + 2x + 3x + 3x + 5 + 5 - 10 - 10 = 60

10x - 10 = 60

10x = 60+10

10x = 70

divide both sides by 10

10x/10  = 70/10

x = 7

Therefore, the value of x = 7

Thus,

The length of HG = 3x-10 = 3(7) - 10 = 21 - 10 = 11 units

Hence,

The length of HG = 11 units

Decision B, keeping the park open when the lead levels are in excess of the allowed limit, would constitute making a Type I error in this situation.

A Type I error occurs when the null hypothesis is true, but it is rejected based on the sample data. In this case, the null hypothesis would be that the lead levels in the park are within the allowed limit.

B. Keeping the park open when the lead levels are in excess of the allowed limit would constitute a Type I error. This decision would mean that the department fails to detect the high lead levels and mistakenly keeps the park open, even though it should have been closed due to the elevated lead levels. This error can have potential consequences for public health and safety.

On the other hand, decision A (closing the park when the lead levels are within the allowed limit) would be a correct decision since it aligns with the null hypothesis and does not result in a Type I error. Decision C (closing the park when the lead levels are in excess of the allowed limit) is the correct action to take when the lead levels are actually high, so it does not constitute a Type I error.

Decision D (keeping the park open when the lead levels are within the allowed limit) is also a correct decision as it aligns with the null hypothesis and does not lead to a Type I error.

Decision E (closing the park because of increased noise level in the neighborhood) is unrelated to the lead levels and does not pertain to the hypothesis being tested, so it is not relevant to Type I error in this situation.

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Answer:

The invention of the Cartesian Coordinate System is credited to René Descartes. He revolutionised mathematics by providing the first systematic link between Euclidean geometry and algebra. Thus, the Coordinate Plane is named after him. ("Cartesian" from his last name, Descartes.)

Step-by-step explanation:

A Cartesian plane (named after French mathematician Rene Descartes, who formalized its use in mathematics) is defined by two perpendicular number lines: the x-axis, which is horizontal, and the y-axis, which is vertical.

Answer:

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

See the steps below, they should be self-explanatory.

Let me know if anything is unclear.

Answer: The correct answer is the Law of Large Numbers

Step-by-step explanation:

Imagine flipping a coin. There is a 50% likelihood that you would get tails. However, it doesn't happen all the time. If you flipped it just a few times, you could get all tails and have 100% tails.

However, if you experimented a lot of times (a large number), you almost certainly wouldn't get all tails. You would get close to 50%. That is the main point of the law.

The more trials you do, the more likely you will get close to the theoretical value.

The two true statements regarding the circle equation are:

"The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9"

"The center of the circle lies on the x-axis."

Remember that the equation for a circle of center (a, b) and radius R is:

(x - a)^2 + (y - b)^2 = R^2

Here we have the equation:

x^2 + y^2 - 2x - 8  =0

First we need to complete squares on x, remember the perfect square trinomial:

(a - b)^2 = a^2 - 2ab + b^2

So we can rewrite:

x^2 + y^2 - 2x - 8  =0

(x^2 - 2x) + y^2 = 8

Now we can add and subtract 1:

(x^2 - 2x) + y^2 + 1 - 1 = 8

(x^2 - 2x + 1) + y^2 - 1 = 8

(x - 1)^2 + y^2 = 8 + 1

(x - 1)^2 + y^2 = 3^2

So, the center is (1, 0) and the radius is 3.

Then the true statements are:

"The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9" it is also 3.

"The center of the circle lies on the x-axis." because the center is at (1, 0).

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closed

open dots mean > or <