Annie's parents have offered her two different allowance options for her 10 week summer vacationAnnie's mom offers Annie an allowance where she gets paid 25 the first week and then an additional $20 per week for every week thereafterAnnie's Dad offers her an allowance where she can get paid $1 the first week2 the second week$4 the third week and so onAnnie may only choose one option would be the better option and why
Select all that apply

Annie’s dad's offer is better because it an example of a geometric sequence.

Annie's dad's offer is better because is an example of an arithmetic sequence.

Annie's mom's offer is better because it is an example of a geometric sequence.

Annie's mom's offer better because is an example of an arithmetic sequence

Annie's dad's offer is better because Arinie will have more money at the end of 10 weeks.

Annie's mom's offer is better because Annie will have more money at the end of weeks.

Answer:

j=4

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

Answer:

j=4

Step-by-step explanation:

3(3j-6)=18

9j-18=18

9j=36

j=4

Given:

One week a computer store sold a total of 36 computers and external hard drives.

Let the number of computers = x

And the number of the external hard drives = y

so, we can write the following equation:

The revenue from these sales was 29,820. If computers sold for 1180 and hard drives for 125 per unit

So, we can write the following equation:

We will solve the equations (1) and (2) to find (x) and (y):

from equation (1):

Substitute (y) from equation (3) into equation (2) and then solve for (x):

Substitute (x) into equation (3) to find (y):

So, the answer will be:

The number of computers sold = 24

The number of hard drives sold = 12

Multiply 0.625/1 by 1000/1000 to get 625/1000. Reducing we get 5/8  

Answer: 13440 grams

Step-by-step explanation:

Since 1 kg is 1000 g, multiply 0.64 by 1000 to find how many grams are in a kilogram.

0.64x1000

=640 grams

She uses 640 grams each day.

How many grams does he use in 3 weeks?

1 week has 7 days

3 weeks has 21 days

3x7=21

640x21

13440 grams

Answer:

$6.60

Step-by-step explanation:

This is an incomplete question. I have however searched for the concluding parts and same attached as seen below.

First, we need to calculate the costs for both shoes rented by Dorian and Jack.

Member's cost for each shoe rentage is $2.95 , and since both rents the shoe at same cost, therefore,

Cost = $2.95 + $2.95 + $7.50

Cost = $13.40

To get the balance that Jack should receive, we will simply deduct the cost from the initial $20 member cost, hence;

Balance = $20 - $13.40

Balance = $6.60.

Therefore, the change that should be received by Jack is $6.60

6,400 is the nearest hundred

Answer:

pentegan easy

Step-by-step explanation:

{-4, -3, -2, -1, 0, 1}

To get the next consecutive integer, you have to add 1.

So, starting from -4, you add 1 to get -3.

Next, add one to get -2, and so on.

Answer:

Alejandra should receive four dollars and ninety-eight cents.

Step-by-step explanation:

Hope this helps:)

The solution to the equation is (325, 404) which is the point of intersection.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the number of student tickets and y represent the number of adult tickets.

It is given by the equation:

The solution to the equation is (325, 404) which is the point of intersection.

Find out more on Linear equation at: https://brainly.com/question/14323743

If people prefer a choice with risk to one with uncertainty, they are said to be averse to uncertainty.

Uncertainty and risk are related concepts in decision-making under conditions of incomplete information. However, they represent different types of situations.

- Risk refers to situations where the probabilities of different outcomes are known or can be estimated. In other words, the decision-maker has some level of knowledge about the possible outcomes and their associated probabilities. When people are averse to risk, it means they prefer choices with known probabilities and are willing to take on risks as long as the probabilities are quantifiable.

- Uncertainty, on the other hand, refers to situations where the probabilities of different outcomes are unknown or cannot be estimated. The decision-maker lacks sufficient information to assign probabilities to different outcomes. When people are averse to uncertainty, it means they prefer choices with known risks (where probabilities are quantifiable) rather than choices with unknown or ambiguous probabilities.

In summary, if individuals show a preference for choices with known risks over choices with uncertain or ambiguous probabilities, they are considered averse to uncertainty.

If people prefer a choice with risk to one with uncertainty, they are said to be averse to uncertainty.

To know more about uncertainty, visit

https://brainly.com/question/16941142

#SPJ11

Answer:

the correct answer is the second one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When you are trying to find if they are equivalent, you only want to use one value. If they are both positive, it doesn't mean that they are quivalent. They would have to be the same.

Answer:

Option B is the correct option

solution,

\( \sqrt{5x - 7} = \sqrt{3x + 5} \)

Cancel the square roots on both sides

\(5x - 7 = 3x + 5\)

Add 7 to both sides

\(5x - 7 + 7 = 3x + 5 + 7\)

Simplify

\(5x = 3x + 12\)

Subtract 3x from both sides

\(5x - 3x = 3x + 12 - 3x\)

Simplify

\(2x = 12\)

Divide both sides by 2

\( \frac{2x}{2} = \frac{12}{2} \)

Simplify

\(x = 6\)

Hope this helps...

Good luck on your assignment..

Answer:

Answer:

X=6

Option B is the correct option

solution,

Cancel the square roots on both sides

Add 7 to both sides

Simplify

Subtract 3x from both sides

Simplify

Divide both sides by 2

Simplify

Hope this helps...

Good luck on your assignment..

Step-by-step explanation:

Answer:

33602675

Step-by-step explanation:

Answer:

Prism 1: 1040

prism 2: 480

Step-by-step explanation:

The equation for volume of a prism is: 1/2*b*h*w

So for the first prism it should be 1/2*8*13*20 = 1040

For prism 2 it should be 1/2*10*6*16 = 480

Therefore , the solution of the given problem of standard deviation comes out to be Mary beat about 62.44% of the other triathletes in her division, finishing first.

Statistics uses variance as a gauge of variation. The photograph of that figure is used to compute the average deviation between what was collected and the mean. In contrast with numerous other valid measures of variability, it includes those data points on their own by comparing each value to the mean. Variations may be brought on by willful mistakes, irrational expectations, or shifting economic or business conditions.

Here,

a) Men, 30-34 years old group: N(4313, 5832) Women, 25-29 years old group: N(5261, 8072)

(b)

=> Z score = (4948 - 4313) / 583 = 1.09 for Leo.

Mary's Z score is

=>   (5513 - 5261) / 807 = 0.31.

(c) We must compare their Z scores in order to evaluate their rankings. Leo ended ahead of his group's mean, according to his Z score of 1.09, while Mary came in below it, according to her Z score of 0.31.

(d) . With the aid of a table or computer,

we determine that this region is roughly 0.8621 or 86.21%.

Leo outperformed about 86.21% of the triathletes in his division, finishing first.

(e) A table or calculator helps us determine that this region is roughly 62.44%.

Mary beat about 62.44% of the other triathletes in her division, finishing first.

(f) Our responses to sections (b) through (e) could change if the distributions of finishing times are not virtually normal.

Z ratings only have significance when the distribution is normal or roughly normal.

To know more about standard deviation visit :-

brainly.com/question/13673183

#SPJ1

The h-sequence 1, 2, 4, 8, 16, ..., 2^k, known as the geometric sequence, is not suitable for Shell sort because it leads to a less efficient sorting algorithm in terms of time complexity.

Shell sort works by repeatedly dividing the input list into smaller sublists and sorting them independently using an insertion sort algorithm. The h-sequence determines the gap or interval between elements that are compared and swapped during each pass of the algorithm.

In the case of the geometric sequence, the gaps between elements in each pass of the algorithm are powers of 2. This can cause issues because when the gap is a power of 2, the elements being compared and swapped are not close to each other in the original list.

As a result, the geometric sequence h-sequence can lead to inefficient comparisons and swaps, especially in cases where the elements that need to be moved are far apart. This increases the number of necessary swaps and comparisons, making the algorithm less efficient.

To illustrate the worst-case scenario, let's consider an example:

Consider the input list [5, 4, 3, 2, 1] and use the h-sequence 1, 2, 4, 8, 16, ...

In the first pass, the gap is 16, and the elements being compared and swapped are 5 and 1. Since the elements are far apart, multiple swaps are required to move 1 to its correct position.

Next, in the second pass with a gap of 8, the elements being compared and swapped are 4 and 1, again requiring multiple swaps.

This process continues for each pass, with the gaps reducing, but the elements being compared and swapped are still far apart. This leads to a large number of comparisons and swaps, resulting in an inefficient sorting process.

Overall, the geometric sequence h-sequence leads to a worst-case scenario for Shell sort when the elements that need to be moved are far apart, resulting in increased time complexity and reduced efficiency of the sorting algorithm.

To know more about sequence visit:

brainly.com/question/30262438

#SPJ11

Based on the chi-square test, there is no significant evidence to suggest that the die is not balanced.

We have,

To determine if the die is balanced, we can perform a chi-square test of goodness of fit.

The null hypothesis is that the die is balanced, and the alternative hypothesis is that the die is not balanced.

First, let's calculate the expected frequencies for each outcome assuming the die is balanced. Since there are 180 tosses in total, each outcome is expected to have an equal probability of 1/6.

Expected frequency for each outcome

= (Total tosses) x (Probability of each outcome)

Expected frequency for each outcome = (180) x (1/6)

Expected frequency for each outcome = 30

Now, we can calculate the chi-square test statistic using the formula:

χ² = Σ [(Observed frequency - Expected frequency)² / Expected frequency]

Let's calculate the chi-square test statistic:

χ² = [(28 - 30)² / 30] + [(36 - 30)² / 30] + [(36 - 30)² / 30] + [(30 - 30)² / 30] + [(27 - 30)² / 30] + [(23 - 30)² / 30]

χ² = [(-2)² / 30] + [(6)² / 30] + [(6)² / 30] + [(0)² / 30] + [(-3)² / 30] + [(7)² / 30]

χ² = 4/30 + 36/30 + 36/30 + 0/30 + 9/30 + 49/30

χ² = 134/30

χ² ≈ 4.467

Next, we need to compare the calculated chi-square value to the critical chi-square value at a significance level of 0.01 and degrees of freedom equal to the number of outcomes minus 1 (6 - 1 = 5).

Looking up the critical chi-square value in a chi-square distribution table with 5 degrees of freedom and a significance level of 0.01, we find it to be approximately 15.086.

Since the calculated chi-square value (4.467) is less than the critical chi-square value (15.086), we fail to reject the null hypothesis.

Therefore, we do not have sufficient evidence to conclude that the die is not balanced at a 0.01 level of significance.

Thus,

Based on the chi-square test, there is no significant evidence to suggest that the die is not balanced.

Learn more about the chi-square test here:

https://brainly.com/question/30760432

#SPJ1

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

For more references on division, click;

https://brainly.com/question/21416852

#SPJ1

A light-year is the distance light can travel in one year. It is equal to 9.46 trillion kilometers or 5.88 trillion miles. This is equal to about 6 trillion kilometers (3.7 trillion miles). It is the most common unit used to measure interstellar distances.

1. One light-year is equal to the distance light can travel in one year.

2. Distance light can travel in one year = speed of light x time

3. Speed of light = 300,000 km/sec

4. Time = 1 year

5. Distance light can travel in one year = 300,000 km/sec x 1 year

6. Distance light can travel in one year = 9.46 trillion km

7.The annual distance that light can cover is 5.88 trillion miles.

A light-year is a unit of distance used to measure interstellar distances. It is equal to 9.46 trillion kilometers, or 5.88 trillion miles. This is equal to approximately 6 trillion kilometers (3.7 trillion miles). This is calculated by multiplying the speed of light (300,000 km/sec) by one year (365.25 days). Light-years are commonly used to measure distances between stars and galaxies.

Learn more about distance here

https://brainly.com/question/28956738

#SPJ4

Answer:

21

Step-by-step explanation:

all you have to do is get 70% of 30

70% of 30 is 21

Answer:

21 employees

Step-by-step explanation:

70% of 30 is 21

Since percentages are always over 100 we get 70/100

Start by multiplying 70/100 with 30:

(70/100)*30

and

(70*30)/100 =

Which gives you

21

Answer:

A_165 = 5+(165-1)2

A_165 = 5+(164)2

A_165 = 5+328

A_165 = 333

Step-by-step explanation:

Hope this helps, also tell me if I'm worng or right!

Answer:

Sn = n^2+4n, and n = 11

Step-by-step explanation:

Sorry that i'm late, but i think i see what you did wrong here;

What you entered in as that Sₙ = 2n + 3, but instead the nth term (aₙ) was equal to 2n + 3. How? Well you know the following formula;

aₙ = a₁ + (n-1)d

here the difference = 2 & a₁ = 5

aₙ = 5 + 2(n-1) = 5 + 2n - 2 = 2n + 3

So the aₙ = 2n + 3, not Sₙ. The sum of the series would be calculated using the following formula:

Sₙ = n/2[2a₁ + d(n-1)]

= n/2[2(5) + 2(n-1)] = n^2+4n

Now then we have to determine n where the series sum is 165. Let's plug in this value;

165 = n^2 +4n,

n = 11 & n = -15

n has to equal 11 here

(I hope this helps future students)

The volume of the rectangular prism is 160. You just multiply the width by the height by the length in order to get the volume of a rectangular prism.

The factor of its radius reduced is 3. The result is obtained by comparing the spherical volumes.

The volume of a spherical can be calculated by

V = 4/3 πr³

Where

A spherical balloon has volume v and radius r. Its volume is reduced by a factor of 27.0.

Find the factor of its radius reduced!

The factor of its volume is

V₁/V₂ = 27

We use the formula for spherical volume to find r₁/r₂.

V₁/V₂ = (4/3 πr₁³)/(4/3 πr₂³)

27 = (r₁/r₂)³

r₁/r₂ = ∛27

r₁/r₂ = 3

Hence, the radius is reduced by a factor of 3.

Learn more about volume of a sphere here:

brainly.com/question/9994313

#SPJ4

For polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), D(4, 4) after dilation the vertices will be

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

following similar procedure for the given problem, for r = 1/4 we have

preimage                                     image

A (-4, 6)   → (1/4 * -4, 1/4 * 6) →   A' (-1, 3/2)

B (−2, 2)   → (1/4 * -2, 1/4 * 2) →  B' (-1/2, 1/2)

C (4, −2)  → (1/4 * 4, 1/4 * -2) →   C' (1, -1/2)

D (4, 4)   → (1/4 * 4, 1/4 * 4)   →  D' (1, 1)

Learn more about transformation here:

https://brainly.com/question/29601182

#SPJ1

Answer:

Third Answer Choice....A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1)

Step-by-step explanation:

1/4 = 0.25

Multiply by every number

A' = ( -1, 1.5 )
B' = ( -0.5, 0.5 )
C' = ( 1, -0.5)
D' = (1, 1)

If it says its wrong i dont even know whys that, because this is the only way i know that everyone can solve easily

Answer:

$175

Step-by-step explanation:

you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.

They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25

Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.

Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.

ANSWER

0.3228

EXPLANATION

We want to find,

But since X is normally distributed, we have to find the z-score for a standard normal distribution,

So the probability we can find in the standard normal distribution table is,

In the z-score table, we have to find z = 0.46,

The table shows the probability that z is less than that value. We want to find the probability that z is greater than that value. This is,

The probability that a teacher's salary is greater than $37,800 is 0.3228.

Answer:

solve by pythagoras theorem

Answer:

8 1/2 doors.

Step-by-step explanation:

1/4 is a quarter of a square.

1/4 can cover 1 door.

We have 2 1/2 of paint so there are 4 one quarters (1/4) make up 1.

2 1/2 paint will cover 8 1/2 doors.