A random sample of 121 checking accounts at a bank showed an average daily balance of $265. The standard deviation of the population is known to be $77. (a) Is it necessary to know anything about the shape of the distribution of the account balances in order to make an interval estimate of the mean of all the account balances? Explain O No, the mean is larger than the standard deviation so we do not need to know anything about the shape of the distribution O Yes, the sample is large and the standard deviation of the population is known so we also need to know that the shape of the distribution is at least approximately beil shaped O No, the sample is large and the standard deviation of the population is known so we do not need to know anything about the shape of the distribution. O No, the standard deviation is larger than the mean so we do not need to know anything about the shape of the distribution. Yes, the mean is larger than the standard deviation so we also need to know that the shape of the distribution is at least approximately bell shaped (b) Find the standard error of the mean (in dollars). (c) Give a point estimate of the population mean (in dollars). (d) Construct an 80% confidence interval for the population mean (in dollars). (Round your answers to the nearest cent.) $ to $. (e) Construct a 95% confidence interval for the population mean (in dollars), (Round your answers to the nearest cent) $ to $

To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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The amount in the college fund is $16,899.66

In order to determine the amount in the college fund, we need to find the  future value of the money.

The formula for the future value of money is:

FV = PV * (1 + r)^t

where:

FV = future value

PV = present value (initial amount)

r = interest rate (as a decimal)

t = time (in years)

PV = $5000, r = 7% = 0.07, t = 18

FV = PV * (1 + r)^t

FV = 5000 * (1 + 0.07)¹⁸

FV = 5000 * (1.07)¹⁸

FV = $16,899.66

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Complete Question

When a new baby is born to the Johnsons, the family decides to invest $5000 in an account that earns 7% interest as a way to start the baby's college fund. If they do not touch that investment for 18 years, how much will there be in the college fund?

Answer:

...

Step-by-step explanation:

2. 5.25, because the radius is half the diameter

3. 3 in because the diameter is 2x the radius

4. i.dk this one sorry

Answer:

2. 5.25in

3. 3 in

4. 81.68 or 82

Step-by-step explanation:

The first two are basically multiplication and division. radius is half the diameter, and diameter is the whole of radius.  the circumference is 3.14 or \(\pi\) x diameter

so you need to add the radius (13) by itself (13+13) to get the diameter (or 13*2) then multiply by 3.14159. (26*3.14159 = 81.68) and if you need to round its 82.

~R3V0

Answer:

4, 6, 10, 12 I think are the sides the perimeter=32

Step-by-step explanation:

Answer: 5.1

Step-by-step explanation:

use SOHCAHTOA

so its y/8  = cos(50)

y= cos(50) x 8

y = 5.1

Hope this helps!!

Answer:

chickens = 11

pigs = 7

Step-by-step explanation:

this would be solved using simultaneous equation

let c = chicken .

p = pigs

A normal pig and chicken both have 1 head. thus :

c + p = 18 equation 1

A normal pig has 4 legs and a normal chicken has 2 legs. Thus

2c + 4p = 50  equation 2

multiply equation 1 by 2

2c + 2p = 36 equation 3

subtract equation 3 from 2

2p = 14

p = 7

substitute for p in equation 1

c + 7 = 18

c = 11

The roots of h(x)=x³−2x²+9x−18 is 2, -3i and 3i.

The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.

Given:

h(x)=x³−2x²+9x−18

so, (x-2) is the solution of h(x).

Now, the synthetic division

                                  (x-2) | x³−2x²+9x−18 | x² + 9

                                            x³ −2x²

                                      __________

                                                0   + 9x - 18

                                                         9x - 18

                                                     __________

                                                               0

now, again factorize x² + 9 = 0

 x = ±3i

Hence, the roots are 2, -3i and 3i.

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Answer:

  $1280

Step-by-step explanation:

You want the cost of flooring a cubic 4096 ft³ room at $5 per square foot.

Each dimension (length, width, height) of the room is the edge length of a cube with a volume of 4096 ft³.

  V = s³

  4096 = s³

  ∛4096 = s = 16 . . . . feet

The floor area is the square of the edge length:

  A = s²

  A = (16 ft)² = 256 ft²

At $5 per square foot, the cost of flooring will be ...

  ($5/ft²)(256 ft²) = $1280

The hardwood floors will cost $1280.

The probability that Martha will arrive first and Armando will arrive last is 1/120

For Martha to arrive first, there is only 1 possible order for her arrival, since she needs to be the first one. Similarly, for Armando to arrive last, there is only 1 possible order for his arrival, since he needs to be the last one.

Now that we have determined the number of ways that Martha can arrive first and Armando can arrive last, we can calculate the probability of this scenario occurring. To do this, we need to divide the number of ways that Martha can arrive first and Armando can arrive last by the total number of possible arrival orders.

This means that out of all possible arrival orders, there is only a 1/120 chance that Martha will arrive first and Armando will arrive last.

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There are a total of 12 potential outcomes.

There are also four possible results when selecting a blue marble.

Given that,

All outcomes of selecting a card with a number 1, 2, 3, or 4, as well as a blue, green, or yellow marble.

Since the collection of all potential outcomes is known as the sample space.

So, these are the scenarios that could occur if you choose a card and a marble:

One blue, one green, one yellow, two blues, two greens, three blues, three yellows, four blues, four greens, four yellows

There are so a total of 12 scenarios that could occur.

Additionally, we must count the number of outcomes that contain the word "blue" in them in order to determine how many outcomes entail selecting a blue marble:

Blue 1, Blue 2, Blue 3, and Blue 4

Hence, There are so four possible results when selecting a blue marble.

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The age of marcus is 10 years old.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that Yolanda's age is 5 years less than twice Marco's age. If Yolanda is 15 years old, then we have;

The reason for "5 years less", means we subtract 5, but from what exactly.

Now the next portion of the sentence says "twice Marco's Age" therefore, its 2x so we must subtract 5 from 2x.

15 = 2x - 5    

Now we just solve for x.

15 = 2x - 5    

Add 5 to both sides.

20 = 2x          

Divide by 2 on both sides;

10 = x            

Thus As a result, Marcus is 10 years old.

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Answer:

∠2 and ∠5

∠6 and ∠3

Step-by-step explanation:

Vertical angles are a pair of non-adjacent angles formed by intersecting two straight lines.

Looking at the options, the answers are ∠2 and ∠5, ∠6 and ∠3

Answer:

y = 7/5x

Step-by-step explanation:

Answer:  y.y= -5/7

x+3

−

Answer:

Its C.

Step-by-step explanation:

I had this and its C. trust me

The optimal point values for x1, x2, λ, and μ (Lagrange multipliers) in the given problem are:

x1 = 1

x2 = 1

λ = -4

μ = 2

To solve the optimization problem using the Lagrange multipliers technique, we first construct the Lagrangian function L(x1, x2, λ) by incorporating the equality constraint:

L(x1, x2, λ) = f(x1, x2) - λ(g(x1, x2))

Where f(x1, x2) is the objective function, g(x1, x2) is the equality constraint, and λ is the Lagrange multiplier.

In this case, the objective function is f(x1, x2) = 2x1^2 - 2x1x2 + 2x2 - 6x1 + 6, and the equality constraint is g(x1, x2) = x1 + x2 - 2.

The Lagrangian function becomes:

L(x1, x2, λ) = 2x1^2 - 2x1x2 + 2x2 - 6x1 + 6 - λ(x1 + x2 - 2)

To find the optimal values, we need to find the critical points by taking partial derivatives of L with respect to x1, x2, and λ and setting them equal to zero. Solving these equations simultaneously, we get:

∂L/∂x1 = 4x1 - 2x2 - 6 - λ = 0

∂L/∂x2 = -2x1 + 2 + λ = 0

∂L/∂λ = -(x1 + x2 - 2) = 0

Solving these equations, we find x1 = 1, x2 = 1, and λ = -4. Substituting these values into the equality constraint, we can solve for μ:

x1 + x2 - 2 = 1 + 1 - 2 = 0

Therefore, μ = 2.

The optimal point values for the variables in the optimization problem are x1 = 1, x2 = 1, λ = -4, and μ = 2. The Lagrange multipliers λ and μ represent the rates of change of the objective function and the equality constraint, respectively, with respect to the variables. They provide insights into the sensitivity of the objective function to changes in the constraints and can indicate the impact of relaxing or tightening the constraints on the optimal solution. In this case, the Lagrange multiplier λ of -4 indicates that a small increase in the equality constraint (x1 + x2 - 2) would result in a decrease in the objective function value. The Lagrange multiplier μ of 2 indicates the shadow price or the marginal cost of satisfying the equality constraint.

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The scale is of 8,292 ft. 1 ft in the scale is equal to 8292 ft of the actual.

Given, a scale model of the Shanghai Tower is 3 inches tall.

The actual tower is 2,073 feet tall.

We have to find the scale.

Now, as 1 ft = 12 inch

1 inch = 1/12 ft

3 inches = 3/12 ft

3 inches = 1/4 ft

So, 1/4 ft of scale = 2,073 ft of actual

1 ft of scale = 8,292 ft of actual

So, 1 ft in the scale is equal to 8,292 ft of the actual.

Hence, 1 ft in the scale is equal to 8,292 ft of the actual.

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Answer:

23.5

Step-by-step explanation:

(23.76-25.58)/(48-34) = -0.13

-0.13 * 2 = -0.26

23.76 - 0.26 = 23.5

When John is suddenly and unexpectedly called on by his statistics professor to explain how the chi-square should be implemented, he is required to use impromptu delivery.

Impromptu delivery refers to speaking or presenting without prior preparation or planning.

In this situation, John needs to respond immediately to the professor's question and provide an explanation on the spot.

Impromptu delivery requires thinking on one's feet, organizing thoughts quickly, and delivering a coherent response without the luxury of time for preparation or rehearsal.

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Answer:

8 and 7

7 and 4

Step-by-step explanation:

Answer: the biggest odd number is 8467

Answer: the smallest odd number is 4867

Step-by-step explanation:

Answer:A!

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Its A because the plants you see in deserts need water to germinate themselves. Its like cactus. They absorb water like camels store water in their humps.

The square of a number is increased by 5 times the number \(6x^{2} +5x-4=0\)

What is quadratic equation?
A quadratic equation is a second order equation written as a\(x^{2}\) + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

Product of 6 and the square of a number is increased by 5 times the number, he result is 4.

Consider x as the number,

The question can be written as:

\(6(x^{2} )+5(x)=4\)

\(6(x^{2} )+5(x)-4=0\)

Hence, the answer for the given question is \(6x^{2} +5x-4=0\).

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without knowing the distance between mile marker 195 and the mouth of the river, we cannot calculate the gradient along the same stretch of the Sacramento River.

The gradient along the same stretch of the Sacramento River can be calculated by finding the change in elevation divided by the distance.
Given that the interval is 115 ft and the distance is from mile marker 195 to the mouth of the river at sea level, we need to determine the total distance in miles.
To do this, we need to know the distance between mile marker 195 and the mouth of the river. Unfortunately, this information is not provided in the question.

Without knowing the specific distance, we cannot accurately calculate the gradient. Therefore, the answer cannot be determined with the information given.

In conclusion, without knowing the distance between mile marker 195 and the mouth of the river, we cannot calculate the gradient along the same stretch of the Sacramento River.

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Answer: Add 5 to the product of 3 and 6, then subtract 4

Step-by-step explanation:

     We will use the order of operations. Looking at 5 + (3 x 6) − 4, we would:

[1] Multiply 3 x 6

[2] Add 5 to that product

[3] Subtract 4 from that value

     This means the answer to your question is:

Add 5 to the product of 3 and 6, then subtract 4

Answer: B

i DiD tHe TeSt

Answer:

G. 12y + 15

Step-by-step explanation:

The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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Answer:

By drawing rectangles, splitting them into sixths, and shading in the numbers we're adding to get a final sum of 5 4/6, or 5 2/3.

Step-by-step explanation:

1/6 is basically half of 1/3, so if we're making a fraction model we can just divide rectangles into sixths. You can draw maybe 7, because you know that 4+1 is going to be 5. Draw the rectangles and divide them each into 6. 1/3 is just going to be 2 sections of that rectangle. You can shade in first 4 whole rectangles, then 1 to represent the whole numbers. For 2/6, just shade in 2 sections! For 1/3, shade in 2 as well, because 1/3 and 2/6 are equivalent. Count up your rectangles and sections, and you should get a sum of 5 4/6, which can be simplified into 5 2/3.

Hope this helps! If you need clarification, or if I didn't answer the question right, you can ask!

Answer:

m<DBE =50°

m<ABD=150°

Step-by-step explanation:

Because of Straight Angles, All the angles will add up to 180 degrees

Let x be m<DBE

40+x+70+20=180

x+130=180

x=50

m<DBE will be 50 degrees

To find the m<ABD, we add m<FBA, m<FBE, m<DBE.

70+50+30=150

m<ABD = 150

Answer:

angle DBE=

Step-by-step explanation:

We know that angle ABE is a right angle because 70+20=90. Therefore angle CBE is also a right angle.

Now, 90-40=50 (angle DBE's measure)

Based on this, we can know that 20+70+50=140. Angle ABD is 140 degrees.

HTH :)

Answer

Step-by-step explanation: