Kesha deposits $1000 into a savings account earning 6% interest each year. She makes no further deposits to the account. What is the balance after 5 years?

Answer:

The mean is  \(\mu = 2.1\)

Step-by-step explanation:

The mean number of employees calling sick per day can  be mathematically represented as

       \(\mu = 0* 0.05 + 1 * 0.40 + 2 * 0.3 + 3 * 0.3 + 4*0.05\)

      \(\mu = 2.1\)

Answer:

numerical

Step-by-step explanation:

i guess not sure though

Answer:

A, resolving conflicts and negotiating with others

D,establishing and maintaining interpersonal relationships and F,communicating with supervisors, peers, or subordinates.

Step-by-step explanation:

Answer:

its A,B,D,F

developing objectives and strategies

assisting and caring for others

establishing and maintaining interpersonal relationships

interpreting the meaning of information for others

Answer:

Hello,

Step-by-step explanation:

\(\dfrac{3^{n+1}+9}{3^{n-1}+1} \\\\=\dfrac{9*(3^{n-1}+1)}{3^{n-1}+1}\\\\=9\\\)

The value of x and y in the right triangle is 4 and 2√2 respectively.

The figure is a right triangle:

Angle Y = 45 degrees

Adjacent to angle Y = 2√2

Hypotenuse = x

To solve for side length x, we the trigonometric ratio.

Note: cosine = adjacent / hypotenuse

Hence:

cos( Y ) = adjacent / hypotenuse

Plug in the values:

cos( 45° ) = (2√2)/x

Solve for x

x = (2√2)/cos( 45° )

x = 4

Next, to solve for y, we use Pythagorean Theorem:

c² = a² + b²

Hence:

x² = y² + (2√2)²

Plug in x = 4

4² = y² + (2√2)²

16 = y² + 8

16 - 8 = y²

y² = 16 - 8

y² = 8

y = √8

y = 2√2

Therefore, the value of side length y is 2√2.

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Answer:

15x20/300

Step-by-step explanation:

you multiply 15 and 20 then didvide that answer to 300

These are the  points (20,0), (0,20), (20,5) are a few points which represent the number of hours a student can work each job to meet his goal.

Let ;

The hour spent in mow lawns is represent by x,

And represent the hour spent for gardening by y.

According to the question;

He charges $15 per hour to work mow lawns .

And $20 per  hour to gardening .

Total no. of hours allowed to work = 20 hours per week

Then the inequality to represent the cost constraint will be,

15x+20y ≥ 300

Since,

He cannot work for more than 15 hours per week, the inequality to represent the time constraint will be,

x + y ≤ 20

On solving the inequalities,

15(20-y) + 20y = 300

300 - 15y + 20y = 300

5y= 0

y = 0

For value of x put y = 0

x + 0 = 20

It states if he work only in mows law for 20 hours he can earn $15 =(15)(20) =$300

All pairs of positive numbers whose sum is less than 20, are solutions to the given system of inequalities.

A pair of negative numbers will also solve both constraints, but is not applicable in this situation because a student, cannot work for negative hours, or  for a negative amount of money.

So, (20,0), (0,20), (20,5) are a few points which represent the number of hours a student can work each job to meet his goal.

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Answer:

1/2

Step-by-step explanation:

(2,1)(4,2)

x1-y1/x2-y2

slope:m=1/2

Answer:

True

Step-by-step explanation:

Answer:

$409.50

Step-by-step explanation:

Just multiply:

9.1% × 4500

= 409.50

Brainliest Appreciated!

Domain: all reals, (-∝, ∝)

All inputs for x result in a solution.

Answer:

0.35808

Step-by-step explanation:

Given a normal distribution :

Mean (m) = 50 lb

Standard deviation (σ) = 1.1 lb

Proportion of bags with mass more than 50.4 lbs

X : X > 50.4 lbs

Using the Zscore relation :

Zscore = (x - m) / σ

Zscore = (50.4 - 50) / 1.1

Zscore = (0.4) / 1.1

Zscore = 0.3636363

P(Z > 0.3636) = 1 - P(Z < 0.3636)

P(Z < 0.3636) = 0.64192

1 - P(Z < 0.3636) = 1 - 0.64192 = 0.35808

The substance will weigh 9 pounds after  4.5123 hours.

Here it is given that every 3 hours the weight of the substance doubles.

At 12 noon it weighed 2 pounds. Hence we will consider the initial weight to be 2.

Let the weight after x hours be w(x)

Here it doubles in 3 hours, hence the growth rate is 100%

Since the growth rate is given, the equation for the growth rate will be

w(x) = w₀.eˣ

where x = no. of 3-hour spans.

Here

w₀ = 2

and w(x) is given 9

Hence,

2eˣ = 9

or, e²ˣ = 9/2

Taking log on both sides we get

loge²ˣ = ln(9/2)

or, 2xloge = ln(9/2)

Since loge = 1 we get

2x = log(9/2)

or, x = 1.5041

Hence they will become 9 pounds after

3 X 1.5041 hours

= 4.5123 hours

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A range function that will create a list with all odd numbers between 5 and 77 is range(5, 78, 2).

The range function is a built-in function in Python which returns a sequence of numbers, starting from 0 by default, and increments by 1 (by default), and stops before a specified number. In other words, the range function returns a sequence of numbers between the given range. In order to create a list of all odd numbers, the start and end of the range is specified first, and the condition is specified next. As the difference between two consecutive odd numbers is two, it is the defined increment. Hence, the range will give a lists as 5, 7, 9, 11,…..,77.

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The sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

To prove that m∠D + m∠F = 180∘, we can use the property of angles inscribed in a circle.

In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Therefore, if we can show that arc DE + arc FG = 360∘, we can conclude that m∠D + m∠F = 180∘.

Let's start the proof:

1. Quadrilateral DEFG is inscribed in circle P. This means that all the vertices of the quadrilateral lie on the circumference of the circle.

2. Let's consider arc DE and arc FG. These arcs are intercepted by angles ∠D and ∠F, respectively.

3. By the property of angles inscribed in a circle, we know that the measure of an inscribed angle is equal to half the measure of its intercepted arc.

4. Therefore, m∠D = 1/2(arc DE) and m∠F = 1/2(arc FG).

5. We want to prove that m∠D + m∠F = 180∘. This is equivalent to showing that 1/2(arc DE) + 1/2(arc FG) = 180∘.

6. Combining the fractions, we have 1/2(arc DE + arc FG) = 180∘.

7. Now, we need to show that arc DE + arc FG = 360∘.

8. Since quadrilateral DEFG is inscribed in circle P, the sum of the measures of all the arcs intercepted by the sides of the quadrilateral is equal to 360∘.

9. This means that arc DE + arc EF + arc FG + arc GD = 360∘.

10. However, we can observe that arc EF and arc GD are opposite sides of the same chord, so they have equal measures. Therefore, arc EF = arc GD.

11. Substituting arc GD with arc EF in the equation from step 9, we have arc DE + arc EF + arc FG + arc EF = 360∘.

12. Simplifying the equation, we get 2(arc DE + arc EF + arc FG) = 360∘.

13. Dividing both sides by 2, we have arc DE + arc EF + arc FG = 180∘.

14. Comparing this result with step 7, we can conclude that arc DE + arc FG = 180∘.

15. Finally, going back to our initial goal, we can now substitute arc DE + arc FG with 180∘ in the equation from step 6: 1/2(180∘) = 180∘.

16. Simplifying, we have 90∘ = 180∘, which is a true statement.

17. Therefore, we have proven that m∠D + m∠F = 180∘.

Thus, we have successfully proved that the sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

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Answer:

0 or 0.62921348314 (if done by the calculator)

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 89 on the left side and the dividend 56 on the right side like this:

8 9 ⟌ 5 6

Step 2:

The divisor (89) goes into the first digit of the dividend (5), 0 time(s). Therefore, put 0 on top:

0

8 9 ⟌ 5 6

Step 3:

Multiply the divisor by the result in the previous step (89 x 0 = 0) and write that answer below the dividend.

0

8 9 ⟌ 5 6

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (5 - 0 = 5) and write the answer below.

0

8 9 ⟌ 5 6

- 0

5

Step 5:

Move down the 2nd digit of the dividend (6) like this:

0

8 9 ⟌ 5 6

- 0

5 6

Step 6:

The divisor (89) goes into the bottom number (56), 0 time(s). Therefore, put 0 on top:

0 0

8 9 ⟌ 5 6

- 0

5 6

Step 7:

Multiply the divisor by the result in the previous step (89 x 0 = 0) and write that answer at the bottom:

0 0

8 9 ⟌ 5 6

- 0

5 6

0

Step 8:

Subtract the result in the previous step from the number written above it. (56 - 0 = 56) and write the answer at the bottom.

0 0

8 9 ⟌ 5 6

- 0

5 6

- 0

5 6

Answer:it might be A

a. Not satisfied based on Central Limit Theorem alone. b. Satisfied if Q-Q plots show approximately normal distribution. c. Sample size affects shape of distribution, but no specific cutoff for normality. d. Appropriate interval: difference of means using independent samples.

a. No. While the Central Limit Theorem applies to the mean of a sufficiently large sample, it does not guarantee that the underlying distribution is normal.

b. Yes. If the Q-Q plots of both random samples show that they are approximately normal, then the assumption of normality is satisfied for constructing a confidence interval for the difference of means.

c. No. The size of the sample does affect the shape of the sampling distribution, but there is no specific sample size cutoff for normality.

d. Yes. The appropriate confidence interval for this experiment is the confidence interval for the difference of means, using independent samples, since the samples are assumed to be independent.

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a. 16th percentile: Approx. 1,300 gal

b. Median: Approx. 1,500 gal

c. 84th percentile: Approx. 1,700 gal.

Use the concept of Empirical rule defined as:

The \(68\text{ } 95 \text{ } 99\) rule is commonly defined as the empirical rule in the statistics branch.

It asserts that in the given normal distributions,

68% of observed points will fall within one standard deviation of the mean,

95% will come within two standard deviations, and

99.7% will occur within the three standard deviations.

Given that,

The distribution of weekly water usage for single-family homes is mound-shaped and approximately symmetric.

Mean (average) water usage is 1,500 gallons.

The standard deviation of water usage is 200 gallons.

We are using the Empirical Rule to estimate percentiles.

(a) To find the approximate value of the 16th percentile:

Use the Empirical Rule,

Since the distribution has symmetricity and we know that the 16th percentile is equivalent to one standard deviation below the mean.

So, the approximate value of the 16th percentile would be:

\(\text {Mean - (standard deviation)}\)

= 1,500 - 200

= 1,300 gallons.

(b) The median is 50%, and according to the Empirical Rule, the median always overlaps with the mean.

Hence,

The approximate value of the median is 1,500 gallons.

(c) To find the approximate value of the 84th percentile:

Again use the Empirical Rule,

Since the distribution has symmetricity,

We know that 84% is equivalent to the standard deviation above the mean.

So, the approximate value of the 84th percentile would be:

\(\text {Mean - (standard deviation)}\)

= 1,500 + 200

= 1,700 gallons.

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Answer:

4.02°

Step-by-step explanation:

The angle of descent can be obtained using trigonometry ;

Since we have a right angled triangle ;

Let's use the relation:

Sin θ = opposite / hypotenus

Hypotenus = 2.7 miles

1 mile = 5280 feets

2.7 miles = (2.7 * 5280) = 14256 feets

Sin θ = 1000 / 14256

Sin θ = 0.0701459

θ = sin^-1(0.0701459)

θ = 4.0223674

Answer:

79

over

2000 or 79/2000 or 3.95%

Step-by-step explanation:

The probability that one of this​ manufacturer's cars was manufactured at plant A and has a defective emissions control​ device is 6.33%.

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Given, An automobile manufacturer produces 79​% of its cars at plant A and 5​% of the cars manufactured at plant A have defective emissions control​ devices.

∴ The probability that one of this​ manufacturer's cars was manufactured at plant A and has a defective emissions control​ device is,

= (5/79)×100%.

= 6.33%.

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Answer:

The probability percentage that both players will be seniors is 15.38%.

Step-by-step explanation:

Given that a football team has 5 freshman, 8 sophomores, 11 juniors, and 16 seniors, if two are chosen at random to participate in the coin toss, to determine what is the probability that both players chosen will be seniors the following calculation must be done:

5 + 8 + 11 + 16 = 40

16/40 = X

4/10 = X

0.4 = X

15/39 = X

5/13 = X

0.38 = X

0.4 x 0.38 = X

0.1538 = X

Thus, the probability percentage that both players will be seniors is 15.38%.

The artist should buy the canvas with dimensions 26" x 16" as it most closely matches the Golden Rectangle.

To determine which canvas size most closely matches the Golden Rectangle, we need to calculate the aspect ratios of the available options and compare them to the Golden Ratio.

The Golden Ratio is approximately 1.618. A rectangle is considered to be a Golden Rectangle if its aspect ratio (width divided by height) is equal to the Golden Ratio.

Let's calculate the aspect ratios for each canvas size:

Canvas 1: 24" x 36"

Aspect ratio = 24 / 36 = 0.67

Canvas 2: 24" x 40"

Aspect ratio = 24 / 40 = 0.6

Canvas 3: 10" x 16"

Aspect ratio = 10 / 16 = 0.625

Canvas 4: 26" x 16"

Aspect ratio = 26 / 16 = 1.625

Canvas 5: 20" x 12"

Aspect ratio = 20 / 12 = 1.667

Now, let's compare the aspect ratios of the available options with the Golden Ratio (1.618) to see which one is closest:

Canvas 1: |0.67 - 1.618| = 0.948

Canvas 2: |0.6 - 1.618| = 1.018

Canvas 3: |0.625 - 1.618| = 0.993

Canvas 4: |1.625 - 1.618| = 0.007

Canvas 5: |1.667 - 1.618| = 0.049

The canvas with the aspect ratio closest to the Golden Ratio is Canvas 4: 26" x 16". Its aspect ratio of 1.625 is only 0.007 away from the Golden Ratio.

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Using the given ratio we can see that:

a) 78 sweets.

b) 52 swets.

c) A total number of 169

We know that the sweets are divided in the ratio 6:4:3 for Toby, Sam and Ben.

The sum of the values in the ratio gives:

6 + 4 + 3 = 13

Then if there is a total of S sweets, we can see that:

Toby gets (6/13)*S

Sam gets (4/13)*S

Ben gets (3/13)*S

We know that Ben received 39, then:

(3/13)*S = 39

S = (39)*(13/3)

S =169

There are 169 in total, and now we can see that:

Toby gets (6/13)*169 = 78

Sam gets (4/13)*169 = 52

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Answer:

2x^2 - 6x + 7 - (5x^2 + 2x - 8)

Distributive a -1 to each term in the parentheses.

2x^2 - 6x + 7 - 5x^2 - 2x + 8

Combine like terms.

-3x^2 - 8x + 15 is the expression after being subtracted.

Answer:

Step-by-step explanation:

(2x² − 6x + 7) − (5x²  + 2x +8)

To find the opposite of 5x²  + 2x + 8, find the opposite of each term.

2x²  − 6x + 7 − 5x²  − 2x − 8

Combine 2x²  and −5x²  to get −3x²

−3x²  − 6x + 7 − 2x − 8

Combine −6x and −2x to get −8x.

−3x² − 8x + 7 − 8

Subtract 8 from 7 to get −1.

−3x² − 8x − 1

Step-by-step explanation:

nearest tenth means see 100th place

answer is 1.6 kg

Answer:

2 Kg

Step-by-step explanation:

This is because 1.635 rounds to 1.64 which rounds to 1.6 and finally 6 is closer to 10 than 0 so the final answer is 2 kg.

I hope I helped! Brainliest is always appreciated :))

Hi!

The perimeter of a rectangle is the sum of all of its sides.

The perimeter of a triangle is the sum of all its sides

The perimeter of any shape is the sum of all its sides.

The area of a square, or rectangle, is equal to its width multiplied by its length.

Hope this helps

:)

Answer:    145

Step-by-step explanation: add then multilpy

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

simon does not need more time than phil