Create a problem using the pictures and solve it please

95 percent certainty that the actual percentage of adults  who do not use the Internet in the country is between 12.99 and 17.09 percent.

Probability distributions are widely used to define confidence intervals and to calculate critical regions (eg p-value) for hypothesis testing. It is used in many fields aspiring to informatics.

We can use the following formula to construct a 95% confidence interval estimate for the percentage of adults in countries who do not use the Internet:

CI = p ± z*(√.(p×(1-p)/n))

where:

p = Proportion of non-Internet adults in the sample  

n = sample size

z = z-scores corresponding to the confidence level  (95% in this case)

Combining the values, we get:

p = 752/5000 = 0.1504

n = 5000

z = 1.96 (95% confidence level)

CI = 0.1504 ± 1.96* (√(0.1504*(1-0.1504)/5000))

CI = 0.1299 - 0.1709

Thus, we can say with 95 percent certainty that the actual percentage of adults  who do not use the Internet in the country is between 12.99 and 17.09 percent.

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If we start with one penny and double the amount each day for 30 days, we will have a total of $10,737,418.23 at the end of the month.

To find the total amount of money after 30 days using a geometric series, we can start by noting that the amount of money earned each day is double the amount earned the previous day. If we let P be the initial penny on the first day, then the amount earned on the second day is 2P, the amount earned on the third day is 2(2P) = 2²P, the amount earned on the fourth day is 2(2²P) = 2³P, and so on. We can write the total amount of money earned over 30 days as:

P + 2P + 2²P + 2³P + ... + 2²⁹P

This is a geometric series with first term P and common ratio 2. We can use the formula for the sum of a geometric series to find the total amount of money earned:

total = P(1 - 2³⁰)/(1 - 2) = P(1 - 2³⁰)/(-1)

Simplifying this expression, we get:

total = P(2³⁰ - 1)

Substituting P = $0.01 (one penny), we get:

total = $0.01(2³⁰ - 1) = $10,737,418.23

Therefore, if we start with one penny and double the amount each day for 30 days, we will have a total of $10,737,418.23 at the end of the month.

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complete question;

If we have one penny the first day, we double that penny the next day, we then double the previous day's pennies, and so on for a 30-day month what geometric series should you use to find the total amount of money after 30 days, and what is that total?

Answer:

The answer is (x+2) + (y-2)=2²

(-2,2)

Step-by-step explanation:

x= -2,y=2

(x-h) + (y-k)=R²

C(h,k)

where C is Centre

x+2=0,y-2=2²

(x+2)² + (y-2)²= 2²

Note that the probabilities that the engineer will win:

Let's denote the even of winning a contract as W and the event of not winning a contract as NW.

Thus, where we have:

P(W1) =1/2

P (NW1) = 1 - P(W1) = 1-1/2  1/2

P(W2) = 1/3

P(NW2) = 1-P(W2) = 1-1/3 = 2/3

1) To win both contracts, engineer need to have won contracts 1 and 2. Thus,

P(W1 and W2) = P(W1) *P(W2) = (1/2) * (1/3) = 1/6

2) To win only one contract, the engineer can either win contract 1 or contract 2 or vice versa.

Because they are independence,

P((W1 AND NW2) or (NW1 and  W2)) = P(W1 AND NW2) + P(NW1 and W2)

= P(W1) * P(NW2) + P(NW1 * P(W2)
= (1/2) * (2/3) + (1/2) * (1/3)

= 1/2

3) With regard to the contractor winning neighter 1 or 2:

P(NW1 and NW2) = P(NW1) * P(NW2) = (1/2) * (2/3) = 1/3

Hence, it is correct to state that:

that the probabilities that the engineer will win:

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Answer:

Median: 1, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 6 : 4

Mean: 3.42 (3.42857142857)

Mean would change

FIRST OPTION

Answer:

The down payment of $42,600 at 15% would be $6,390.

The area of the circle rounded to the nearest whole number is A 50 ft²

We see that the diameter of the circle in diagram is 8 feet. The area of the circle is calculated by the formula -

Area = πr², where r is the radius of the circle. Now, we know that radius is half the diameter. Thus, radius = 8/2

Divide the value

Radius of circle = 4 feet

The area of circle = 3.14 × 4²

Take square and multiply the value on Right Hand Side of the equation

Area of circle = 50.24 square feet

Rounding the number to the nearest whole number, we get 50 square feet

Hence, the area of the circle is A 50 ft².

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The question is attached in figure.

Answer: Let's say that there are a total of x counters in the bag. Then, the ratio of blue counters to red counters is 2:1, so there are 2y blue counters and y red counters for some value of y.

The ratio of small counters to large counters is 1:2, so let's say there are z small counters and 2z large counters.

We know that the rest of the blue counters that are not large are small, and that the ratio of large blue counters to small blue counters is 3:1. So, we can set up the equation:

2z - k = 3k

where k is the number of small blue counters. Solving for k, we get:

k = z/5

So, the number of large blue counters is:

2z - k = 9z/5

The fraction of counters that are red and small is given by:

y/z

Substituting the values we have found, we get:

y/z = (1/3)(2y/x)/(1/5)((2/5)x/(2/3)) = 10/27

Therefore, the fraction of counters that are red and small is 10/27.

Step-by-step explanation:

If the loan is paid off in full after 8 remaining payments, the borrower is entitled to a refund of $218.87 of the finance charge.

The Rule of 78 is a method used by lenders to calculate how much of the finance charge on a loan should be refunded to the borrower if the loan is paid off early.

Formula to calculate the portion of the finance charge that has been earned by the lender so far. The formula is:

                     [ n / (n(n+1)/2) ] × I

Where n is the total number of payments in the loan and I is the finance charge.

Here we have

The finance charge = 747

Total payments = 24

First, Add up the number of payments made so far and the remaining number of payments to get the total number of payments in the loan:

=>  24 + 8 = 32.

Using the formula (n / (n(n+1)/2)) x I

[ 32 / (32(32+1)/2) ] x 747 = 0.707 x 747 = 528.13

This implies the lender has earned $528.13 of the finance charge so far.

Subtract the amount earned by the lender so far from the total finance charge to find the amount of unearned interest:

=> 747 - 528.13 = 218.87

Therefore,

If the loan is paid off in full after 8 remaining payments, the borrower is entitled to a refund of $218.87 of the finance charge.

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Answer:

If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x"s by 4"s .

Step-by-step explanation:

Probability that a randomly selected subject tested negative AND did not use marijuana is 0.052 (or 5.2%).

Probability is the likelihood that an event will occur. It is a measure of the chance that something will happen, expressed as a number between 0 and 1, where 0 means that the event is impossible, and 1 means that the event is certain. Probability can be used to predict the outcomes of certain events, to determine the likelihood of certain outcomes, or to make decisions about risk. Probability can also be used in statistics to make predictions about a population or a sample.

The total number of subjects included in the study was 298.

Contingency Table
   
Used Marijuana  Did Not Use Marijuana
Positive Test  144   25
Negative Test  4   154

The probability that a randomly selected subject did not use marijuana is 0.517 (or 51.7%).

The probability that a randomly selected subject tested negative AND did not use marijuana is 0.052 (or 5.2%).

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The price per fluid ounce of tthe shampoo is $0.79 per fluid ounce

From the question, we have the following parameters that can be used in our computation:

A 3-cup bottle of shampoo costs $18.96.

This means that

Cost = $18.96.

Size = 3-cup

So, we have

Unit rate = $18.96/3

Convert to fluid ounce

Unit rate = $18.96/24

Evaluate

Unit rate = $0.79

Hence the unit rate is $0.79 per fluid ounce

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There will be $210.62 in Shawn's savings account at the end of 2 years, hence, option B is correct.

Using the compound interest formula,

A = P(1 + r)ⁿ where amount of money is A in the account after n years, principal (initial deposit) is P, interest rate per year (as a decimal) is r, and  number of years is n. In this case, P = $100, r = 0.035, and n = 2. Plugging these values into the formula, we get,

A = $100(1 + 0.035)²

A = $100(1.072225)

A = $107.22

Therefore, Shawn will have $107.22 in his account at the end of 2 years, which is closest to option B-210.62 (if we assume the deposit is made at the end of each year).

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Answer:

Answer: The area of rectangle is 4*m square unit.

Step-by-step explanation:

To solve this problem, we need to standardize the IQ scores using the z-score formula:

z = (x - μ) / σ

where x is the IQ score, μ is the mean IQ, and σ is the standard deviation.

For x = 95, we have:

z = (95 - 105) / 15 = -0.67

For x = 115, we have:

z = (115 - 105) / 15 = 0.67

Now, we can use a standard normal table or a calculator to find the probability that a z-score is between -0.67 and 0.67. Using a standard normal table, we find:

P(-0.67 < z < 0.67) = 0.4978

Therefore, the probability that a randomly selected adult has an IQ between 95 and 115 is 0.4978 or about 49.78%.

Answer:

Six of the plants grew to a full height of 16 to 17 inches.

Step-by-step explanation:

The probability that you get both of them right but guessing is 1/16 or 6.25%.

The likelihood of getting both multiple-choice questions right when speculating can be calculated by increasing the likelihood of getting each address right together. Since there are four reply choices for each address.

The likelihood of speculating the proper reply for one address is 1/4. In this manner, the likelihood of getting both questions right is (1/4) x (1/4) = 1/16 or 6.25%.

This implies that in case you were to guess randomly on both questions, there's as it were a 6.25% chance that you just would get both of them right.

This illustrates that speculating isn't a solid strategy for replying to multiple-choice questions and it is superior to utilize information and thinking to create educated choices. 

Hence, the likelihood of speculating both questions accurately is (1/4) x (1/4) = 1/16. In other words, there's a 1 in 16 chance of getting both questions right fair by speculating.

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Answer:

D

Step-by-step explanation:

Hope this helps

The total revenue generated from sponsors that was rewarded by the organizers of African Mathematics to three of her most outstanding students is  2500000 (in monetary units) by formulating linear equation.

The organizers of African Mathematics rewarded three of her most outstanding students 40% of the revenue generated from sponsors.

Let us say the total revenue generated from sponsors be x (monetary units).

Thus, total of (2/5)x (in monetary units) was rewarded by forming equation.

It is given that the first and second runners up got 35% and 25% of the revenue generated respectively and also the best student got  400,000  (monetary units).

Formulating a linear equation for the given problem we get,

40 % of x = 400000 + (35 % of (2/5)x) + ( 25% of (2/5)x)      (in monetary units)

⇒(40/100)  x = 400000 +  (35/100)(2/5)x + (25/100)(2/5)x      (in monetary units)

⇒ (40/100)x - [ (14/100)x + (10/100)x] = 400000     (in monetary units)

⇒ [tex]\frac{40x - 14x - 10x}{100} = 400000[/tex]     (in monetary units)

⇒ (16/100)x = 400000   (in monetary units)

⇒ x = 2500000 (in monetary units)

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Using the tangent line to f(x) at x=1, the linear approximation of 1/1.001 is approximately equal to 0.999.

Linear approximation is a method used in calculus to approximate the value of a function near a given point by using the tangent line to the function at that point. The tangent line is a straight line that "touches" the function at the given point and has the same slope as the function at that point. By using the equation of the tangent line, we can approximate the value of the function for values of x that are very close to the given point. Linear approximation is useful for estimating values of complicated functions that are difficult or impossible to calculate directly.

In the given question,

To find the equation of the tangent line to f(x) at a point near 1.001, we first need to find the derivative of f(x):

f(x) = 1/x

f'(x) = -1/x²

Now, let's choose a "nice" point near 1.001, such as x = 1. We can find the equation of the tangent line to f(x) at x = 1 using the point-slope form:

y - f(1) = f'(1)(x - 1)

Substituting in the values for f(1) and f'(1):

y - 1 = (-1/1²)(x - 1)

y - 1 = -x + 1

y = -x + 2

This is the equation of the tangent line to f(x) at x = 1.

To approximate 1/1.001 using this tangent line, we plug in x = 1.001 and solve for y:

y = -x + 2

y = -(1.001) + 2

y = 0.999

Therefore, using the linear approximation, 1/1.001 is approximately equal to 0.999.

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Note that the rocket with the greatest acceleration is Rocket 3.

To find the rocket with the greatest acceleration, the formula to be used is;

Acceleration = net force/mass

Calculating the acceleration of each rocket sing the given data, we get:

Accel eration of rocket 1 = 12.0N/ 0.528 kg = 22.7m/s²

Acceleration of rocket 2 = 8.0N/ 0.426 kg = 18.8m/s²

Acceler ation of rocket 3 = 12.0N/ 0.515 kg = 23.3m/s²

Acceleration of rocket 4 = 8.0N/ 0.477 kg = 16.8m/s²

Given the above, we can confidently state that Rocket 3 is the rocket with the highest acceleration.

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Answer:

1 and 4

Step-by-step explanation:

Delivery is a service, most services are not tangible and are from one person to another (person transporting from a to b) and a 'good' is a product/item where most of them are tangible (phone, CD's, etc).

In our example 2 by 2 contingency table of Survival at 5 years (yes or no) by Age at Diagnosis the overall calculated Chi-sq value is 6.10 as per the given frequencies.

We can use the formula for Chi-sq:

Chi-sq = Σ [tex](O - E)^2 / E[/tex]

Where O = observed frequency and E = expected frequency.

Row totals: 92, 89, 181

Column totals: 51, 130, 181

Grand total: 181

Expected frequency for cell (1,1) = (9251) / 181 = 25.91

Expected frequency for cell (1,2) = (92130) / 181 = 66.09

Expected frequency for cell (2,1) = (8951) / 181 = 25.09

Expected frequency for cell (2,2) = (89130) / 181 = 63.91

Using the formula and plugging in the observed and expected frequencies, we get:

Chi-sq = [tex][(37-25.91)^2 / 25.91] + [(55-66.09)^2 / 66.09] + [(14-25.09)^2 / 25.09] + [(75-63.91)^2 / 63.91][/tex]

Chi-sq = 6.10

Therefore, the overall calculated Chi-sq value is 6.10.

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The surface area of the cylinder in terms of π is 32.48π in2.

Surface area is a measurement of the total area of a given surface of a three-dimensional object. It is a two-dimensional measurement and is expressed in units such as square feet or square meters. Surface area is an important concept in mathematics, physics, engineering, and other sciences. It is used to measure the size of objects, calculate the volume of a space, and to calculate the area of an object’s surface. Surface area can also be used to calculate pressure, force, and energy, as well as other properties of an object.

This is calculated by using the formula for the surface area of a cylinder, which is 2πr2 + 2πrh. In this case, the radius of the cylinder (r) is equal to the diameter (2.8 inches) divided by two; therefore, the radius is 1.4 inches. The height (h) of the cylinder is 3 inches. Substituting these values into the formula, the surface area of the cylinder is 2π (1.4)2 + 2π (1.4) (3) = 32.48π in2.

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