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The  table to analyze the drug test results is given below:

                         Athlete uses drugs   Athlete does not use drugs  Total

Test shows Positive A (True Positive)  B (False Positive)         A+B

Test shows Negative C (False Negative)  D (True Negative)   C+D

Total                            A+C                     B+D                  A+B+C+D

If the athlete has used drugs, there is a 95% chance of getting a positive test result due to the test's accuracy. Consequently, A signifies the accurate instances of positive results (drug-using  athletes who test positively).

If the athlete abstains from drugs, there is a 95% chance that the test result will be negative. This is because the test has a 95% accuracy rate. So, D denotes the accurate negative instances where athletes remain drug-free and test negative.

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Answer:

u = 65.6

Step-by-step explanation:

Use the equation v = u + at and substitute the given terms.

103 = u + (5) (9.5)

Simplify the (5) (9.5) by multiplying (47.5) you then have:

103 = u + 47.5

You want to isolate the variable (the u) and to do that you need to subtract 47.5 from both sides. This leaves you with 65.5 = u

Answer:

B!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

distance between two cities will be 9 000 000 km

Answer:

Step-by-step explanation:Scale of a map is 1:3000000 i.e, 1cm on map =30km so distance of towns on map =3.5cm Actual distance = 3.5×30=105km

The percentage decrease for Lamar will be 17.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred.

Since Lamar averaged 8 miler per week last moth and 6.6 miles per week this month. the percent of his average decreased will be:

= (8 - 6.6) / 8 × 100

= 1.4/8 × 100

= 17.5%

The percentage is 1.75%.

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The particular solution satisfying the initial condition y(0) = 2 is y(x) = 2e^(-8x).

To solve the separable differential equation dy/dx = -8y and find the particular solution satisfying the initial condition y(0) = 2, follow these steps:

Step 1: Identify the given equation and initial condition
The given equation is dy/dx = -8y, and the initial condition is y(0) = 2.

Step 2: Separate the variables
To separate the variables, divide both sides by y and multiply by dx:
(dy/y) = -8 dx

Step 3: Integrate both sides
Integrate both sides with respect to their respective variables:
∫(1/y) dy = ∫-8 dx

The result is:
ln|y| = -8x + C₁

Step 4: Solve for y
To solve for y, use the exponential function:
y = e^(-8x + C₁) = e^(-8x)e^(C₁)

Let e^(C₁) = C₂ (since C₁ and C₂ are both constants):
y = C₂e^(-8x)

Step 5: Apply the initial condition
Now, apply the initial condition y(0) = 2:
2 = C₂e^(-8 * 0)
2 = C₂

Step 6: Write the particular solution
Finally, substitute the value of C₂ back into the equation:
y(x) = 2e^(-8x)

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Of these three examples, height and weight are more likely to be normally distributed.

What is continuous variable ?

A continuous variable is a type of quantitative variable that can take on any value within a certain range. Continuous variables can be measured to any degree of precision, meaning they can be broken down into smaller and smaller increments.

Three real-life examples of a continuous variable are:

Height: Height is a continuous variable that can take any value within a certain range. It can be measured to any degree of precision, making it a continuous variable.

Time: Time is another continuous variable that can be measured to any degree of precision, from milliseconds to years.

Weight: Weight is also a continuous variable that can take any value within a certain range. It can be measured to any degree of precision, making it a continuous variable.

This is because these variables tend to follow a bell-shaped curve when plotted, with most values clustering around the mean and fewer values appearing further away from the mean. Time, on the other hand, may not be normally distributed because it can have different distributions depending on the situation, such as a bimodal distribution for the time of day people go to sleep or wake up. However, it's important to note that the normal distribution is just one of many possible distributions for continuous variables and may not always be the most appropriate or accurate for real-life situations.

Therefore, Of these three examples, height and weight are more likely to be normally distributed.

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b) It will take approximately 24.6 years to save $3,000 for your vacation by saving $100 each month with a 3% nominal interest rate compounded monthly.

c) equivalent effective interest rates are:

i. Semi-annually: 5.06%

ii. Quarterly: 5.11%

iii. Daily: 5.13%

iv. Continuously: 5.13%

EXPLANATION:

To calculate the time it will take for you to save $3,000 for your vacation, we can use the future value formula for monthly compounding:

\(Future Value = Principal * (1 + rate/n)^(n*time)\)

Where:

- Principal is the amount you save each month ($100)

- Rate is the nominal interest rate (3% or 0.03)

- n is the number of compounding periods per year (12 for monthly compounding)

- Time is the number of years we want to calculate

We need to solve for time. Let's substitute the given values into the formula:

\($3,000 = $100 * (1 + 0.03/12)^(12*time)Dividing both sides of the equation by $100:30 = (1.0025)^(12*time)\)

Taking the natural logarithm (ln) of both sides:

\(ln(30) = ln((1.0025)^(12*time))Using logarithmic properties (ln(a^b) = b * ln(a)):ln(30) = 12*time * ln(1.0025)\)

Solving for time:

\(time = ln(30) / (12 * ln(1.0025))\)

Using a calculator:

time ≈ 24.6

c)To calculate the equivalent effective interest rate for a nominal rate of 5% compounded at different intervals:

i. Semi-annually:

The effective interest rate for semi-annual compounding is calculated using the formula:

Effective Interest Rate = (1 + (nominal rate / number of compounding periods))^number of compounding periods - 1

For semi-annual compounding:

\(Effective Interest Rate = (1 + (0.05 / 2))^2 - 1\)

Calculating:

Effective Interest Rate ≈ 0.050625 or 5.06%

ii. Quarterly:

The effective interest rate for quarterly compounding is calculated similarly:

\(Effective Interest Rate = (1 + (0.05 / 4))^4 - 1\)

Calculating:

Effective Interest Rate ≈ 0.051136 or 5.11%

iii. Daily:

The effective interest rate for daily compounding is calculated using the formula:

Effective Interest Rate = (1 + (nominal rate / number of compounding periods))^number of compounding periods - 1

Since there are approximately 365 days in a year:

\(Effective Interest Rate = (1 + (0.05 / 365))^365 - 1\)

Calculating:

Effective Interest Rate ≈ 0.051267 or 5.13%

iv. Continuously:

The effective interest rate for continuous compounding is calculated using the formula:

\(Effective Interest Rate = e^(nominal rate) - 1\)

For a nominal rate of 5%:

\(Effective Interest Rate = e^(0.05) - 1\)

Calculating:

Effective Interest Rate ≈ 0.05127 or 5.13%

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To determine whether the geometric series ∑(n=0 to ∞) (√(1/7))^n is convergent or divergent, we can examine the common ratio (r) of the series.

The given series has a common ratio of (√(1/7)). For a geometric series to be convergent, the absolute value of the common ratio (|r|) must be less than 1.

In this case, |√(1/7)| = √(1/7) ≈ 0.377, which is less than 1. Therefore, the geometric series is convergent.

To find the sum of the geometric series, we can use the formula for the sum of an infinite geometric series:

Sum = a / (1 - r),

where 'a' is the first term and 'r' is the common ratio.

In this case, the first term 'a' is (√(1/7))^0 = 1, and the common ratio 'r' is √(1/7).

Substituting these values into the formula, we have:

Sum = 1 / (1 - √(1/7)).

To simplify this expression, we can rationalize the denominator:

Sum = 1 / (1 - √(1/7)) * (1 + √(1/7)) / (1 + √(1/7)).

Multiplying the numerators and the denominators, we get:

Sum = (1 + √(1/7)) / (1 - (1/7)).

Simplifying further:

Sum = (1 + √(1/7)) / (6/7).

Finally, multiplying the numerator by 7, we obtain the sum of the geometric series:

Sum = 7(1 + √(1/7)) / 6.

Therefore, the sum of the given geometric series is 7(1 + √(1/7)) / 6.

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what is the length of TV screen if the width 25inches and the diagonal is 50 inches

Answer:

Hope these helps

Step-by-step explanation:

5 a. 32% of 881 = 281.92

5 b. 39% of 719 = 280.41

6 a. 35% of 441 = 154.35

6 b. 67% of 429 = 287.43

7 a. 21% of 358 = 75.18

7 b. 47% of 6 =2.82

8 a. 67% of 811 = 543.37

8 b.

97% of 311 = 301.67

If Jesus can walk on water and watermelons are 92 percent water, if I can walk on watermelons, does that make me 92 percent Jesus?

Answer: The answer is no.

Jesus IS God, God created all humans, even though giving birth and going through pregnancy may feel like making a human, the reality is God made the baby in the female's womb. Another thing is in the beginning, God made Adam from the dust on the ground, can humans make living humans from the dust on the ground? The answer is no. Jesus walked on liquid water and did not sink, Peter then said to Jesus, "If you are truly Jesus, then call for me to come to you on the water." Peter walked on the water because he had all of his attention on Jesus, but when Peter looked around at all the dangers, he began to fear and sink. Jesus reached out to Peter to catch him before he was completely under.

Only Jesus can walk on water alone, Peter had to keep his focus on Jesus in order to walk on the water, but Jesus is also God, and he has all power, he can walk on water freely.

It does not matter what percent of water you walk on from 0% to 100%, YOU ARE NOT JESUS.

Answer: 490.87 is the answer, rounded to a whole number is 491.

Step-by-step explanation: A≈490.87m²

Solving for A

A=1

4πd2=1

4·π·252≈490.87385m²

Not sure that's really an explanation but... Hope that makes since :)

Answer:

(3.5, 3.25)

Step-by-step explanation:

Given the vertices of a triangle MNP as M(5,6) , N(0,3) , and P(4,-2).

Midpoint of MP is expressed as;

M(5,6) and P(4,-2).

Xmp = (5+4)/2

Xmp = 9/2

Xmp = 4.5

Ymp = (6-2)/2

Ymp = 4/2

Ymp = 2

Hence the midpoint of MP is at (4.5, 2)

Similarly for MN

M(5,6) , N(0,3)

Xmn = 5+0/2

Xmn = 5/2

Xmn = 2.5

Ymn = 6+3/2

Ymn = 9/2

Ymn = 4.5

Hence the midpoint of MN is (2.5, 4.5)

The coordinate of the midpoint of the line connecting the midpoints of sides MN and MP will be expressed as;

MN(2.5, 4.5) and  MP (4.5, 2)

M = {(2.5+4.5/2, 4.5+2/2)}

M = (7/2, 6.5/2)

M = (3.5, 3.25)

Hence the required midpoint coordinate is (3.5, 3.25)

Answer: Down there there is the correct answer step by step

I hope it helps you!

False.A linear transformation T : Rn → Rm is not completely determined by its effect on the columns of the n × n identity matrix.

The columns of the identity matrix represent the standard basis vectors in Rn, which are the vectors with all components equal to zero except for one component that is equal to one. The effect of a linear transformation on the standard basis vectors provides some information about how the transformation affects certain directions in the input space, but it does not fully characterize the transformation.

To see why this statement is false, let's consider an example. Suppose we have a linear transformation T : R2 → R2. The identity matrix in this case is a 2 × 2 matrix with the columns [1 0] and [0 1]. The effect of T on the first column [1 0] could be any vector in R2, let's say T([1 0]) = [a b]. Similarly, the effect of T on the second column [0 1] could be another vector in R2, let's say T([0 1]) = [c d].

Now, we have the information about the effect of T on the columns of the identity matrix, which is T([1 0]) = [a b] and T([0 1]) = [c d]. However, this information alone is not sufficient to uniquely determine the linear transformation T. There could be infinitely many linear transformations that satisfy these conditions. For example, we could have T([x y]) = [ax + cy, bx + dy], where a, b, c, and d are arbitrary real numbers.

In this example, we can see that the effect of the linear transformation on the columns of the identity matrix only gives us partial information about T, but it does not fully determine the transformation. The linear transformation can have different effects on vectors that are not in the standard basis. In general, a linear transformation T maps every vector in the input space Rn to a corresponding vector in the output space Rm, and its behavior on the standard basis vectors alone does not capture the complete transformation.

Therefore, we can conclude that a linear transformation T : Rn → Rm is not completely determined by its effect on the columns of the n × n identity matrix. Additional information about the transformation's behavior on other vectors or basis sets is needed to fully determine the transformation.

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Isaiah can drive for an additional 144/v hours before he runs out of gas, where v is his constant speed. To solve this problem, we need to calculate the remaining distance Isaiah can drive on the remaining fuel and then determine the corresponding time it will take based on his constant speed.

Given that on a full tank of gas, Isaiah can drive 360 miles, and after driving for 3 hours, he has used 1/2 of a tank of gas.

If Isaiah has used 1/2 of a tank of gas after driving for 3 hours, then he has 1/2 of a tank of gas remaining. Therefore, he can drive an additional 1/2 x 360 = 180 miles.

After driving 36 more miles, he will have 180 - 36 = 144 miles left before running out of gas.

To determine the time it will take for Isaiah to drive the remaining 144 miles, we need to know his constant speed. If we assume his speed remains constant throughout the trip, we can divide the distance by the speed to find the time.

Let's say Isaiah's speed is v miles per hour. Then, the time it will take to drive the remaining distance is 144/v hours.

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The value of x that makes the photo area half of the entire area is: 1.12 in

The area of a rectangle is given by the formula:

A = L * w

where:

L is length

w is width

Thus:

Area of photo = 4 * 2 = 8 in²

We are told that this area is half of the entire ad. Thus:

¹/₂(4 + x)(2 + x) = 8

x² + 6x + 8 = 16

x² + 6x - 8 = 0

Solving using a quadratic calculator gives:

x = 1.12 in

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Answer:

ok, here is your answer

Step-by-step explanation:

The answer is (d) 258.000 g and 2.58×10^-2g.Both numbers have the same number of significant figures, which is six.The first number, 258.000 g, has three significant figures after the decimal point, and three before the decimal point. The zeros after the decimal point are significant because they are part of a measured quantity.The second number, 2.58×10^-2g, is written in scientific notation. It also has six significant figures because the number 2.58 has three significant figures, and the exponent -2 has two significant figures.-

The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407

A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.

Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.

Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.

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Answer:

85.71 %

Step-by-step explanation:

26-14=12

12/14= 0.8571

0.8571x100= 85.71

Answer:

A change from 14 to 26 represents a positive change (increase) of 85.7142857143%

Step-by-step explanation:

Use the formula:

New - Old / Old x 100%

In other words, new(26) minus old(14) divided by old(14) time 100%

14 is the old value and 26 is the new value. In this case we have a positive change (increase) of 85.7142857143 percent because the new value is greater than the old value.

Answer:

It was most likely Tyler who researched it as his range of books is much larger than that of Felix.

Step-by-step explanation:

From the bar graph to the box and whisker plot, the right is always the one with more variety just as in the first plot that was shown.

hope this helps :D

ps: please don't copy it you won't get nearly as good a grade if you do that other than to just take inspiration from it.

490

472 <490<500

it fits the criteria

Answer:

The median is 11.

Explanation:

Add the middle values to calculate the mean, then divide this by 2. That gives you 11.

The blank in the statement refers to a specific number and is dependent on various factors such as tire type, vehicle weight, and road surface conditions.

However, in general, hydroplaning, which occurs when a layer of water prevents direct contact between the tire and the road surface, can occur with as little as 0.1 inch of standing water on the road.

what is number?

A number is a mathematical concept used to count, measure, and label. It can be used to represent quantity, order, position, and more. Numbers can be positive, negative, or zero, and they can be whole or fractional. The most commonly used types of numbers are integers, rational numbers, real numbers, and complex numbers.

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Answer:

Let's define the variables:

x = yards of Organza ribbon that you buy.

y = yards of Satin ribbon that you buy.

We know that the price per yard of Organza ribbon is $0.07, this means tat if you buy x yards, the cost will be:

C = x*$0.07

And the cost of the Satin ribbon is $0.04, so if you buy y yards of that ribbon, the cost will be:

C = y*$0.04

Adding that together, the total cost is:

C = x*$0.07 + y*$0.04

Now we know that you pay $5, this means that the total cost is exactly $5, then we have the equation:

$5 = x*$0.07 + y*$0.04

Now we can isolate the variable y to get:

y = ($5/$0.04) - x*($0.07/$0.04)

y = 125 - x*1.75

Now we can just input different values of x to find the correspondent value of y.

This means that:

if x = 0 (0 yards of the Organza ribbon)

then:

y = 125 - 0*1.75 = 0

This combination is:

0 yards of organza, and 125 yards of satin.

Now, if x = 20, then:

y = 125 - 20*1.75  = 90

This combination is:

20 yards of organza, and 90 yards of satin.

if x = 40, then:

y = 125 - 40*1.75 = 55

This combination is:

40 yards of organza, and 55 yards of satin.

The 3 combinations that we found cost exactly $5.

The Length of patio is (32x+8)/4 feet.

It is a structure made adjacent to a house with concrete or gravel. Generally, patio is rectangle or square in shape. An entertainment space that is close to a home, frequently paved, and designed specifically for outdoor dining. 

We can calculate the length from a given value of area or perimeter.A typical living room patio measures roughly 16 by 18 feet. Make sure there is enough space for traffic to move around so that your guests can fit. Allowing a 3-foot clearance around furniture is a good general rule.

In the above question. perimeter of square patio = (32x +8) feet is given.

let, the length of square = a feet

we know, perimeter of square = 4 x length

(32x+8) = 4a

length, a= (32x+8)/ 4 feet

hence, length = (32x+8)/4 feet

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Pattern A is the x axis. The rule Adds 2 .

0 , 2, 4, 6, 8

Part B is the y axis. The rule Adds 3.

0, 3, 6, 9, 12