The population of a city is 100,000 and the annual growth rate is of 4.2%. Write an equation to model the population y after x years.

The correct matching of the confidence level with the confidence interval for μ is as follows:

x ± 1.96 --> A. 95%

x ± 2.575 --> B. 99%

x ± 1.645 --> C. 90%

A confidence level of 95% corresponds to a critical value of 1.96. This means that if we construct a confidence interval by taking the sample mean (x) and adding or subtracting 1.96 times the standard error, we can be 95% confident that the true population mean (μ) falls within this interval.

A confidence level of 99% corresponds to a critical value of 2.575. Similarly, constructing a confidence interval using the sample mean and adding or subtracting 2.575 times the standard error will give us a wider interval within which we can be 99% confident that the true population mean falls.

A confidence level of 90% corresponds to a critical value of 1.645. Constructing a confidence interval using the sample mean and adding or subtracting 1.645 times the standard error will give us a narrower interval within which we can be 90% confident that the true population mean lies.

These critical values are based on the standard normal distribution and are chosen to achieve the desired level of confidence.

To know more about confidence level click here :

https://brainly.com/question/9386257

#SPJ4

Answer:

well if you where talking about the dice the awnser is 6 and if you are tlking about the shirts then you can do 3 times 3 i thik is the right awnser

Step-by-step explanation:

1. a dice is a cube a cube has 6 sides a single number dice is a dice that only has numbers that are by themselves so the awnser can only be on the dice 6 to 9 so now we know that it is 6 now 6 times 2 is 12 because it got rolled twice

2.

Answer:

6 units

Step-by-step explanation:

Answer:

6 units (B)

Step-by-step explanation:

8 - 2 = 6

Answer:

The second one down is the answer

Step-by-step explanation:

Answer:

$22.40 im pretty sure its right

Step-by-step explanation:

sorry if im late and mark me brainliest if im right

the answer is 60 :) good luckStep-by-step explanation:

Step-by-step explanation:

[tex]ei = \sqrt{ {45}^{2} - {27}^{2} } = \\ = \sqrt{2025 - 729} = \\ = \sqrt{1296} = \\ = 36[/tex]

Answer:

hgfxjdt

Step-by-step explanation:

Answer:

If 31 is a option I would pick it.

Step-by-step explanation:

The problem we are solving is:

15% of ____ is 4.65.

This means that 0.15 x ? = 4.65

So ? = 4.65 / 0.15

Therefore ? = 31.

So the original number is 31.

Answer: 100% increase

Step-by-step explanation:

You need the find the cost per bag in those weeks.

Three weeks ago, she could buy a bag for N5,700.

Three weeks after that, she could only buy half a bag for the same amount. A bag therefore costs:

= 5,700 ÷ 2/4

= N11,400

The percentage increase is:

= (11,400 - 5,700) / 5,700

= 100%

The given function is y = 1/x. We need to use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width).

Given Function: y = 1/x Number of Subintervals: 6Width of Subinterval: (b-a)/n = (5-1)/6 = 4/6 = 2/3For Lower Sum, we take the minimum value of each subinterval and sum them up.

Lower Sum: ∑ i=1^n f(x_i*)Δx=∑ i=1^n f(a+iΔx)ΔxNow,

we calculate the Lower Sum: ∑ i=1^6 f(x_i*)Δx=∑ i=1^6 f(1+i(2/3))2/3=∑ i=1^6 2/(3(i+1))=0.903

For Upper Sum, we take the maximum value of each subinterval and sum them up.

Upper Sum: ∑ i=1^n f(x_i**)Δx=∑ i=1^n f(a+(i-1)Δx)ΔxNow,

we calculate the Upper Sum: ∑ i=1^6 f(x_i**)Δx=∑ i=1^6 f(1+i(2/3))2/3=∑ i=1^6 2/(3i)=1.361

Hence, the Lower Sum of the given function is 0.903 and the Upper Sum is 1.361.

To know more about Upper and Lower sums click here.

https://brainly.com/question/17019015

#SPJ11

Answer:

18

Step-by-step explanation:

24*0.74 = 18

The mean of the heights of Wendigos ≈ 302.523 cm, and the standard deviation ≈ 14.165 cm.

To obtain the mean and standard deviation of the heights of Wendigos, we can use the information given about the percentiles.

Let's denote the mean as μ and the standard deviation as σ.

Step 1: Finding the Z-scores

First, we need to find the Z-scores corresponding to the given percentiles.

For the lower percentile:

Z = (X - μ) / σ = -1.880

For the upper percentile:

Z = (X - μ) / σ = 1.880

Step 2: Finding the corresponding values using Z-scores

Next, we need to find the values corresponding to the Z-scores using a standard normal distribution table or a calculator.

For the lower percentile:

Z = -1.880 corresponds to a cumulative probability of 0.0359

For the upper percentile:

Z = 1.880 corresponds to a cumulative probability of 0.9601

Step 3: Calculating the values

Using the cumulative probabilities obtained, we can find the corresponding values.

For the lower percentile:

X = Z * σ + μ

273 = -1.880 * σ + μ

For the upper percentile:

X = Z * σ + μ

326.25 = 1.880 * σ + μ

Step 4: Solving the equations

We now have a system of equations with two unknowns (μ and σ).

273 = -1.880 * σ + μ   (Equation 1)

326.25 = 1.880 * σ + μ   (Equation 2)

We can solve this system of equations to find the values of μ and σ.

Subtracting Equation 1 from Equation 2, we get:

326.25 - 273 = 1.880 * σ + μ - (-1.880 * σ + μ)

53.25 = 3.760 * σ

Dividing both sides by 3.760, we get:

σ ≈ 14.165

Substituting this value of σ into Equation 1, we can solve for μ:

273 = -1.880 * 14.165 + μ

273 + 1.880 * 14.165 = μ

μ ≈ 302.523

Therefore, mean is approximately 302.523 cm, and the standard deviation is approximately 14.165 cm.

To know more about standard deviation refer here:

https://brainly.com/question/13498201#

#SPJ11

Answer:

the formula represent the correct way is  π(4)^2 (5)

Step-by-step explanation:

The formula that represent the correct way to calculate is given below:

As we know that

Volume = πr^2 h

where

r denotes the radius i.e. 4 inches

And, h denotes the height i.e. 5 inches

Now placed these values to the above formula

So,

= π(4)^2 × 5

= 80π in^3

Hence, the formula represent the correct way is  π(4)^2 (5)

Answer: the answer is D.

Step-by-step explanation:

Let X be the duration of a particular type of criminal trial. We know that the mean of X is μ = 24 days and the standard deviation of X is σ = 8 days.

We are asked to find the 66th percentile of X, which is the value x such that P(X ≤ x) = 0.66. Using the standard normal distribution, we have Z = (X - μ) / σ ~ N(0, 1).Thus, we can write: P(X ≤ x) = P(Z ≤ (x - μ) / σ) = 0.66We need to find the value of x that satisfies this equation. Using a standard normal distribution table or calculator, we can find that the corresponding z-score is approximately 0.43.

Thus, we have:0.43 = (x - μ) / σ0.43 * 8 = x - 24x ≈ 27.44Therefore, the 66th percentile of the duration of a particular type of criminal trial is 27.44 days (rounded to two decimal places).Part (a): The 66% of all trials of this type are completed within 27.44 days (rounded to two decimal places).

To know more about standard deviation refer to:

https://brainly.com/question/475676

#SPJ11

Answer:

B. f(x) =3

Step-by-step explanation:

sbwveivdebeudh

Answer:

135

Step-by-step explanation:

Answer:

cos 0° = 1, because the cosine and sine are complements

Step-by-step explanation:

Here is the formula: sin 0 = cos (90°- 0) or cos 0 = sin (90°- 0)

So it would be: cos 0° = sin (90° - 0°) = sin 90° = 1

Answer:

(.25)(.30) = .075 probability that both children will get the flu

The probability that both a youngster in New York and a kid in Los Angeles will get this season's virus can be determined by duplicating the singular probabilities. Consequently, the likelihood that both will get influenza is 0.075.

To find the probability of the two occasions happening, we duplicate the probabilities of every occasion. Considering that the probability of a kid in New York getting this season's virus is 0.25 (or 25%) and the probability of a youngster in Los Angeles getting influenza is 0.30 (or 30%), we multiply these probabilities: 0.25 * 0.30 = 0.075. This implies there is a 0.075 probability, or 7.5%, that both a youngster in New York and a kid in Los Angeles will get influenza.

To learn more about probability,

https://brainly.com/question/24179874

Answer:

M=13

Step-by-step explanation:

Take the average of the two numbers:

(0+26)/2=13

Answer: 1.

Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.

2.

The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.

3.

With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.

4.

With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.

Step-by-step explanation:

Solution :

It is given that four different prizes were awarded. So,

a). 4 ways for person 47 to win a prize

     99 ways to give out the 2nd prize

     98 ways to give the 3rd prize

      97 ways to give the last prize

     ∴  P(99,3) = 99 x 98 x 97

b). 1 way to give person 47 their prize

    1 way to give person 19 their prize

    98 ways to give out the 3rd prize

    97 ways to give out the last prize

    So, P(98,2) = 98 x 97

Answer:

the second, and fourth one's are triangles, and the 1st and 2nd are not

Step-by-step explanation:

We know that the angles in a triangle add up to 180 degrees. So we need to find which angles add up to 180 degrees. We have:

56+34+42=132

That means the first one can't be a measures of a triangle.

75+55+50=180

Second one is a triangle.

35+32+23=90

Third isn't a triangle

124+64+16=180

So all in all, the second, and fourth one's are triangles, and the 1st and 2nd are not

Answer:

the radius is 10 since 10 plus ten is 20

Answer:

It would be 828 inches cubed

Step-by-step explanation:

Because the boxes on top and bottom are both 6x8x6 and the middle portion is 6x7x6

6x8x6=288

6x7x6=252

288+288+252=828

Answer:

x=4

Step-by-step explanation:

Consecutive sides in a trapezoid are supplementry, which means they add up to 180. So, your equation is 14x-15+139=180

14x+124=180 (first make the numbers as clean as you can on both sides)

14x=56 (move all of the numbers to one side, so subtract 124 from both sides)

x=4  (simplify to get your answer, so divide by 14)

(hope this helps :P)

After inspecting the expression and comparing it with the standard equation of the parabola, the location of the vertex is (x, y) = (- 2, 7). (Correct choice: D) #SPJ5

The vertex is the bound point that characterizes parabolas and which can be a maximum or a minimum but never both. As we know the standard equation of the parabola, we can determine the location of the vertex, whose coordinates are (x, y) = (h, k), by just interpretating the equation, whose form is:

y - k = a · (x - h)²     (1)

After inspecting the expression and comparing it with the standard equation of the parabola, the location of the vertex is (x, y) = (- 2, 7). (Correct choice: D) #SPJ5

To learn more on parabolas, we kindly invite to check this verified question: https://brainly.com/question/4074088 #SPJ5

Answer:

8 oz of cocacola drink containing caffeine

8 oz of Decaffeinated Coke

Step-by-step explanation:

Th independent variables is that variable which causes a change in the output or the dependent or response variable. In the scenario described above, the type of drink Given to the participants is the independent variable

The Independent variable is the type of drink Given to the subjects with two levels ;

Levels :

cocacola drink containing caffeine

Decaffeinated Coke

Therefore, we can conclude that, there are two levels Of the jndependent variable, which are stated above.

We have proved the first assertion that "If x is even and y is odd, then x + 2y is even" using direct proof. However, the second assertion "If x and y are odd, then (x + 3) + y is odd" is not true.

A.

The truth value of statement a) VX EN, x + 4 < 2 is false because there is no natural number x in the set N = {1, 2, 3, 4, 5} that satisfies the inequality x + 4 < 2.

The truth value of statement b) 3x EN, x + 2 > 5 is true because for all natural numbers x in the set N = {1, 2, 3, 4, 5}, the inequality 3x + 2 > 5 holds.

The negations of the given statements are:

Negation of a): ~ (VX EN, x + 4 < 2) which is EX EN, ~(x + 4 < 2), i.e., there exists an x in N such that x + 4 is not less than 2.

Negation of b): ~ (3x EN, x + 2 > 5) which is EX EN, ~(x + 2 > 5), i.e., there exists an x in N such that x + 2 is not greater than 5.

B.

To prove the assertion "If x is even and y is odd, then x + 2y is even" using direct proof, we assume that x is even and y is odd. We can express x as 2a (where a is an integer) and y as 2b + 1 (where b is an integer). Substituting these values into x + 2y, we get 2a + 2(2b + 1) = 2(a + 2b + 1), which is clearly an even number. Hence, x + 2y is even.

To prove the assertion "If x and y are odd, then (x + 3) + y is odd" using direct proof, we assume that x and y are odd. We can express x as 2a + 1 and y as 2b + 1. Substituting these values into (x + 3) + y, we get (2a + 1 + 3) + (2b + 1) = 2(a + b + 2), which is clearly an even number. This contradicts the assertion, and therefore, it is not true.

In summary, we have proved the first assertion that "If x is even and y is odd, then x + 2y is even" using direct proof. However, the second assertion "If x and y are odd, then (x + 3) + y is odd" is not true.

Know more about Assertion here:

https://brainly.com/question/25640037

#SPJ11

Answer:

To find the no. of baskets used to put 390 apples we have to divide 390/22  which is 17.7272727273,

so to put 390 apples we need approximately 18 baskets.

hope this answer helps you...