QUESTION 3
Midpoint formula: find the endpoint EUW
Generate a new question D
KL has a midpoint at M(13.5, 15). Point K is at (13, 13). Find the coordinates of point L
Write the coordinates as decimals or integers.
L=
Level 3

Answer:

6 it's the same as the one next to a and b that's also 6

Using Bayes' Theorem, the probability that a subject actually has diabetes, given that the subject has a positive test result, is calculated to be ____. (rounded to 3 decimal places)

Bayes' Theorem is a mathematical formula used to calculate conditional probabilities. In this case, we want to find the probability of a subject having diabetes given that they have a positive test result.

Let's denote:

A = Event of having diabetes

B = Event of testing positive

According to the given information:

P(A) = 0.02 (2% of the population has diabetes)

P(B|A) = 0.81 (true positive rate)

P(B|not A) = 0.12 (false positive rate)

We can now apply Bayes' Theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

To calculate P(B), we need to consider both scenarios: a true positive (diabetic person testing positive) and a false positive (non-diabetic person testing positive).

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

= 0.81 * 0.02 + 0.12 * 0.98

Substituting the values into the formula:

P(A|B) = (0.81 * 0.02) / (0.81 * 0.02 + 0.12 * 0.98)

Calculating this expression will give the probability that a subject actually has diabetes, given that they have a positive test result, rounded to 3 decimal places.

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We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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Answer:

2 13/50

Step-by-step explanation:

gogle

On solving the expression 2 + (4/5) - (3/20), we get 53/20.

Given is the expression -

2 + (4/5) - (3/20)

The given expression is -

2 + (4/5) - (3/20)

Now, solving further, we get -

2 + (4/5) - (3/20)

2 + 4/5 - 3/20

(40 + 16 - 3)/20

53/20

Therefore, the given expression 2 + (4/5) - (3/20) is equivalent to 53/20.

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Answer:

So what is the question

Step-by-step explanation:

0127464719

To show that the integral of (0.2π/T) + cos(t) dt from 0 to 2π equals 2π√(√3), we can evaluate the integral and simplify the expression.

The integral represents the area under the curve of the function (0.2π/T) + cos(t) from t = 0 to t = 2π. By applying integration techniques and simplifying, we can verify that the integral equals 2π√(√3).

Let's evaluate the integral ∫[(0.2π/T) + cos(t)] dt from 0 to 2π. The antiderivative of 0.2π/T is (0.2π/T)t, and the antiderivative of cos(t) is sin(t). Applying the fundamental theorem of calculus, we have:

∫[(0.2π/T) + cos(t)] dt = (0.2π/T)t + sin(t) │ from 0 to 2π.

Substituting the limits, we get:

[(0.2π/T)(2π) + sin(2π)] - [(0.2π/T)(0) + sin(0)].

Simplifying, we have:

(0.4π²/T) + 0 - 0 - 0 = (0.4π²/T).

To show that (0.4π²/T) equals 2π√(√3), we need to equate it to 2π√(√3) and solve for T:

(0.4π²/T) = 2π√(√3).

Dividing both sides by 2π, we get:

(0.4π²/T) = √(√3).

Squaring both sides and simplifying, we have:

(0.4π²/T)² = (√(√3))²,

(0.4π²)² / T² = (√3),

0.16π⁴ / T² = √3.

Taking the square root of both sides and rearranging, we obtain:

√(0.16π⁴ / (√3)) = T,

2π √(√3) = T.

Therefore, we have shown that the integral of (0.2π/T) + cos(t) dt from 0 to 2π equals 2π√(√3)

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'Complete question'

Show that 2πT 0 1 2+ cos 0 -do = 2π √√3

Answer:

9 blue marbles

Step-by-step explanation:

4 : 3 ratio

12 : x

12 / 4 = 3

4 × 3 : 3 × 3

12 : 9

The most appropriate test statistic for constructing confidence intervals for the population mean when the population is normally distributed, but the variance is unknown, is the t-statistic.

The t-statistic is used when the sample size is small (typically less than 30) and the population standard deviation is unknown. It takes into account the uncertainty introduced by estimating the population standard deviation from the sample.

To construct a confidence interval using the t-statistic, follow these steps:

Take a random sample from the population.
Calculate the sample mean and sample standard deviation.
Determine the desired level of confidence, often expressed as a percentage (e.g., 95% confidence).
Look up the appropriate critical value from the t-distribution table based on the sample size and desired level of confidence.
Calculate the margin of error by multiplying the critical value by the standard error of the sample mean.
Construct the confidence interval by adding and subtracting the margin of error from the sample mean.
Write the conclusion, stating the confidence interval and interpreting it in the context of the problem.

The t-statistic is the most appropriate test statistic for constructing confidence intervals when the population is normally distributed but the variance is unknown. The t-statistic takes into account the uncertainty introduced by estimating the population standard deviation from the sample.

The steps to construct a confidence interval using the t-statistic include calculating the sample mean and sample standard deviation, determining the desired level of confidence, looking up the appropriate critical value, calculating the margin of error, and constructing the confidence interval.

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Answer:

step by step solution:

(r/p)(9) = (9+1)²/(9-4) = 100/5 = 20

(q.s)(3) = (-2(3)+7).(3(3)² - 5(3)) = 1×12 = 12

(q/r)(-1) = (-2(-1) + 7)/(-1+1)² = 9/0 = Undefined

(t + s)(4) = -(4)² + 4(4) + 9 + 3(4)² -5(4) = -16 + 16 +9 + 48 - 20= 37

(s o p)(8) = s(p(8)) = s(8-4) = s(4) = 3(4)² -5(4) = 48 - 20 = 28

(q o t)(7) = q(t(7)) = q(-(7)² + 4(7) + 9) = q(-12) = -2(-12) + 7= 24+7 = 31

(r o u)(1) = r(u(1)) = r(1+6) = r(7) = (7+1)² = 64

(t o s)(0) = t(s(0)) = t(0) = 9

(u-p)(-3) = (-3)³ + 6(-3) - (-3) + 4 = -27 -18 + 3 + 4 = -38

(u o r)(-2) = u(r(-2)) = u((-2+1)²) = u(1) = 1 + 6 = 7

(q o q)(6) = q(q(6)) =q (-2(6) + 7) = q(-5) = -2(-5) + 7 = 17

END

a. John Underpar's possible monetary outcomes are either winning, which is worth -$5 (the cost of the ticket).

b. the driver (worth $300) or having a worthless ticket (worth $0).

c) Probability of getting nothing = 79/80 = 0.9875
Probability of winning the driver = 1/80 = 0.0125
d. the expected value of buying a ticket is -$1.19, which means on average, a person can expect to lose $1.19 by buying a ticket.
e.the expected return to the club is $100 if all 80 tickets are sold.

a. John Underpar's possible monetary outcomes are either winning the Taylormade R9 10.5 regular flex driver, which is worth $300, or having a worthless ticket, which is worth -$5 (the cost of the ticket).

b. Actually, winning the driver is worth $300, not $295. So, Mr. Underpar's possible monetary outcomes are either winning the driver (worth $300) or having a worthless ticket (worth $0).

c. Mr. Underpar's "experiment" can be summarized as a probability distribution with the following probabilities:

Probability of getting nothing = 79/80 = 0.9875
Probability of winning the driver = 1/80 = 0.0125

d. The mean or expected value of the probability distribution can be calculated as:

Expected value = (Probability of winning the driver x Value of winning) + (Probability of getting nothing x Value of nothing)
Expected value = (0.0125 x $300) + (0.9875 x -$5)
Expected value = $3.75 - $4.94
Expected value = -$1.19

Therefore, the expected value of buying a ticket is -$1.19, which means on average, a person can expect to lose $1.19 by buying a ticket.

e. If all 80 tickets are sold, the expected return to the club can be calculated as:

Expected return = (Number of tickets sold x Price of a ticket) - Value of the prize
Expected return = (80 x $5) - $300
Expected return = $400 - $300
Expected return = $100

Therefore, the expected return to the club is $100 if all 80 tickets are sold.

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Answer:

If the trader bought the TV set for Birr 2000 and sold it at a profit of 10%, the selling price can be calculated as follows:

Profit = 10% of the cost price = 10/100 * 2000 = Birr 200

Selling price = Cost price + Profit = 2000 + 200 = Birr 2200

Now, if the profit was a loss, we can use the same rate of 10% to calculate the selling price. In this case, the profit will be negative, indicating a loss.

Loss = 10% of the cost price = 10/100 * 2000 = Birr 200

Selling price = Cost price - Loss = 2000 - 200 = Birr 1800

Therefore, if the trader sold the TV set at a loss of 10%, the selling price would be Birr 1800.

Step-by-step explanation:

The domain of the function that models Salvatore's price scale is;  {x 0 < x < 8}.

The domain of a graph is defined as the set of possible input values of a function.

Now, we are told that he charges $100  for all work that is completed in less than 2 hours and also that he charges $400 for work that takes between 5 and 8 hours.

This means that the number of hours will be less than 2 but cannot be zero but it is less than or equal to 8

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At the end of the month, he found that the total rainfall for the month was 4/5 of an inch. Therefore, it rained 3/10 of an inch in the second half of the month.

1. The meteorologist found that the rainfall in Stamford during the first half of the month was 1/2 of an inch.
2. By the end of the month, the total rainfall was 4/5 of an inch.

Now, to find the rainfall in the second half of the month, you can subtract the first half's rainfall from the total rainfall for the month:

Total rainfall for the month (4/5 inch) - First half's rainfall (1/2 inch) = Second half's rainfall

To subtract the fractions, you need a common denominator. In this case, it is 10. Convert both fractions to have the same denominator:

(4/5) * (2/2) = 8/10
(1/2) * (5/5) = 5/10

Now, subtract the two fractions:

(8/10) - (5/10) = 3/10

So, it rained 3/10 of an inch in the second half of the month.

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A 1/2

its just like you have 1 cookie and 2 apples whats the ratio to cookies from apples

Answer:

35% off

Step-by-step explanation:

= |4 - 2.6|/((4 + 2.6)/2) = 1.4/3.3 = 0.42424242424242 = 42.424242424242%

Percentage of decrease = |4 - 2.6|/4 = 1.4/4 = 0.35 = 35%

2.6 is a 35% decrease of 4.

Step-by-step explanation:

for y intercept x=0

for y intercept x=0plug in x=0

for y intercept x=0plug in x=0y =6(0)-9

for y intercept x=0plug in x=0y =6(0)-9y=-9

for y intercept x=0plug in x=0y =6(0)-9y=-9(0,-9)

The monthly payment for the Chevrolet Sonic Hatchback, considering a 12% down payment and an 8-year amortized loan with a 3.5% interest rate, would be $135.84. The total cost of the car, including the down payment, would amount to $15,862.08. Additionally, the amount paid in interest over the course of the loan would be $1,807.08.

The monthly payment for the Chevrolet Sonic Hatchback is $135.84. The total cost of the car, including the down payment, is $15,862.08, and the amount paid in interest over the duration of the loan is $1,807.08.

The monthly payment calculation takes into account the price of the car, the down payment, the loan term, and the interest rate. In this case, the price of the car is $14,055.00, and the down payment is 12% of that amount, which equals $1,686.60. The loan term is 8 years, which is equivalent to 96 months. The interest rate is 3.5% per year, or 0.35% per month.

To calculate the monthly payment, the remaining amount to be financed is determined by subtracting the down payment from the car price:  $14,055.00 - $1,686.60 = $12,368.40. Then, the monthly interest rate is calculated by dividing the annual interest rate by 12: 3.5% / 12 = 0.00292. Finally, the monthly payment is computed using the amortization formula, which takes into account the loan amount, the monthly interest rate, and the loan term: $12,368.40 * (0.00292 / (1 - (1 + 0.00292)^(-96))) = $135.84.

The total cost of the car is obtained by adding the down payment to the financed amount: $12,368.40 + $1,686.60 = $15,055.00. The interest paid over the course of the loan is calculated by subtracting the financed amount from the total cost of the car: $15,862.08 - $14,055.00 = $1,807.08.

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The total amount paid in interest will be $2,823.60

To calculate the monthly payment, we can use the formula for an amortized loan:

\(M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)\)

Where:

M is the monthly payment,

P is the principal amount (car cost - down payment),

r is the monthly interest rate (annual interest rate divided by 12),

n is the total number of monthly payments (loan term in years multiplied by 12).

Let's calculate the monthly payment:

Principal (P) = $14,055.00 - 0.12 * $14,055.00

             = $14,055.00 - $1,686.60

             = $12,368.40

Monthly interest rate (r) = 0.035 / 12

                        = 0.0029167

Total number of monthly payments (n) = 8 years * 12 months/year

                                  = 96 months

Now we can substitute these values into the formula:

\(M = $12,368.40 * (0.0029167 * (1 + 0.0029167)^96) / ((1 + 0.0029167)^96 - 1)\)

Calculating this expression gives us:

M ≈ $158.25

Therefore, the monthly payment for the amortized loan will be approximately $158.25.

To calculate the total cost of the car, including the interest, we can multiply the monthly payment by the total number of monthly payments:

Total cost = M * n

          = $158.25 * 96

          = $15,192.00

Therefore, the car will cost a total of $15,192.00.

To calculate the amount paid in interest, we can subtract the principal amount from the total cost:

Interest paid = Total cost - Principal

            = $15,192.00 - $12,368.40

            = $2,823.60

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a. D. magna is an effective grazer of the G. semen alga. b. a very strong negative correlation between the number of grazers and the net growth rate of G. semen.

a. The scatterplot of the data shows a clear negative correlation between the number of D. magna grazers and the net growth rate of G. semen. As the number of grazers increases, the net growth rate of G. semen decreases. This suggests that D. magna is an effective grazer of the G. semen alga.

b. The correlation coefficient between the number of grazers and the net growth rate is -0.996. This indicates a strong negative correlation between the two variables, which supports the interpretation that D. magna is an effective grazer of G. semen. The closer the correlation coefficient is to -1, the stronger the negative correlation between the two variables. In this case, the correlation coefficient is very close to -1, which indicates a very strong negative correlation between the number of grazers and the net growth rate of G. semen.

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Answer:

a = - 1/2b + 1/6w + 2/3

Step-by-step explanation:

w= 3(2a+b) - 4

Add 4 on both sides.

w + 4 = 3(2a+b)

Divide 3 into both sides.

w/3 + 4/3 = 2a+b

Subtract b on both sides.

w/3 + 4/3 - b = 2a

Divide 2 into both parts.

w/3/2 + 4/3/2 - b/2 = a

a = w/6 + 4/6 - b/2

a = 1/6w + 2/3 - 1/2b

Answer:

a=(w-3b+4)/6

Step-by-step explanation:

w= 3(2a+b) -4

w=6a+3b-4

6a= w-3b+4

a=(w-3b+4)/6

The weight range that contains at least 75% of all residents' annual garbage goes between 420 pounds and 787.5 pounds.

Given that the average resident of Metro City produces 630 pounds of solid waste each year, and the standard deviation is approximately 70 pounds, to determine the weight range that contains at least 75% of all residents' annual garbage weights, the following calculation must be performed:

Therefore, the weight range that contains at least 75% of all residents' annual garbage goes between 420 pounds and 787.5 pounds.

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Answer:

7.

Step-by-step explanation:

The slope of a line perpendicular to a line of slope m is -1/m.

So the answer is  -1 / -1/7

= -1 * 7/-1

= 7.

The best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.

When a triangle is reflected over the y-axis, its vertices swap their x-coordinates while keeping their y-coordinates the same. Let's consider the points F and F' on the reflected triangle.

The line connecting F to F' is the vertical line on the y-axis because the reflection over the y-axis does not change the y-coordinate. The y-axis itself is also a vertical line.

Since both the line connecting F to F' and the y-axis are vertical lines, they are perpendicular to each other. This is because perpendicular lines have slopes that are negative reciprocals of each other, and vertical lines have undefined slopes.

Therefore, the best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.

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Answer:

he will need 360g of margarine

Step-by-step explanation:

u need 180g to make 12 cakes...so all u need to do is double it

the answer is 15cm (pls mark brainlest)

Answer:

3:40

Step-by-step explanation:

We need both measurements in the same units.

1 m = 100 cm

2 m = 2 × 1 m = 2 × 100 cm = 200 cm

15 cm to 2 m = 15 cm to 200 m

Divide both numbers in the ratio by 5 cm.

15 cm to 200 cm = 3:40

Answer: 6cm

Step-by-step explanation: VF=(SF)^3

let x be the height of the larger container

VF1/VF2=(SF1/SF2)^3

54/128=(4.5/X)^3

rearrange to find x

x=cube root of (4.5^3*128)/54

x=6cm