What is the answer and please explain how you got it!

The probability that exactly three out of two hundred randomly chosen individuals will have the disease is approximately 0.1668 or 16.68%.

To solve this problem, we need to use the binomial distribution formula. The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant.

In this case, the probability of success is 1.2%, which is equivalent to 0.012. The number of trials is 200, and we want to know the probability of exactly three successes.

The formula for the probability of exactly k successes in n trials is:

P(k) = (n choose k) * p^k * (1-p)^(n-k)

where "n choose k" represents the number of ways to choose k items from a set of n items, and p is the probability of success.

Using this formula and plugging in the values we have, we get:

P(3) = (200 choose 3) * 0.012^3 * (1-0.012)^(200-3)

P(3) = (200! / (3! * 197!)) * 0.012^3 * 0.988^197

P(3) = 0.1668

Therefore, the probability that exactly three out of two hundred randomly chosen individuals will have the disease is approximately 0.1668 or 16.68%. This means that if we were to repeat this experiment many times, we would expect to see about 16.68% of the time that exactly three people out of two hundred have the disease.

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The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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Answer: C

Step-by-step explanation: Sequence 1 goes down by 16 each time (an equal amount) whereas sequence two halves each time making it a geometric sequence!

Answer:

Step-by-step explanation:

slope=m= 5

points=(-1,2)

By point-slope form:

\(y\)-\(y_{1}\)=m(\(x-x_{1}\))

Substitute the values in formula:

y-2=5(x+1)        (It is the point slope form)

Now,

Slope intercept form:

y-2=5x+5

y=5x+5+2

y=5x+7

Answer:

b

Step-by-step explanation:

it doesn't go to the y or x axis so  B is it

Answer:

13x = 48 is the most simplified

The expression is expanded and simplified to 7y - 4

Note that algebraic expressions are described as mathematical expressions that are composed of coefficients, factors, constants, variables and terms.

They are also made up of some mathematical operations. These operations are;

From the information given, we have that;

5(y - 2) + 2(y - 3)

expand the bracket, we have;

5y - 10 + 2y - 6

collect the like terms

5y + 2y - 10 + 6

add the values

7y - 4

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The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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Answer:

y=-2/3

x=-20/3

Answer:

angle 7 and 8 are supplementry  angle 7 and 6 are complementry. ANgle 2 and 7 are alternite exterior angles, andle 4 and 5 are alternite interior angles angles 1 and 4 are vertical angle 6 is 35. angle 8 is 135

Step-by-step explanation:

In the isosceles triangle ABC, the value for the line segment MN is 0.75 cm.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

The triangle ABC has base AC which measures 12 cm.

The line DE bisects the sides BA and BC respectively.

So, according to the midpoint theorem - the line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.

This can be written as -

DE || AC and DE = 1/2(AC)

Substitute the values -

DE = 1/2 × 12

DE = 6 cm

Similarly, in triangle BDE, DE is the base which measures 6 cm.

The line FG bisects the sides BD and BE respectively.

So, according to midpoint theorem it can be written as -

FG || DE and FG = 1/2(DE)

Substitute the values -

FG = 1/2 × 6

FG = 3 cm

Similarly, in triangle BFG, FG is the base which measures 3 cm.

The line HK bisects the sides BF and BG respectively.

So, according to midpoint theorem it can be written as -

HK || FG and HK = 1/2(FG)

Substitute the values -

HK = 1/2 × 3

HK = 1.5 cm

Similarly, in triangle BHK, HK is the base which measures 1.5 cm.

The line MN bisects the sides BH and BK respectively.

So, according to midpoint theorem it can be written as -

MN || HK and MN = 1/2(HK)

Substitute the values -

MN = 1/2 × 1.5

MN = 0.75 cm

Therefore, the value for MN is obtained as 0.75 cm.

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Answer:

B.) The interquartile range of the data is 2

Step-by-step explanation:

Answer:

numerator - 4

denominator - 3

Step-by-step explanation:

6 × 2/9

12/9

4/3

Answer:

decimal form=1.48323969…

Answer:

(0'3)

Step-by-step explanation:

the line going across is the x axis the one going up and down is the y-axis the first number goes on the x-axis which is zero so it stays in the middle and three the second number goes on the up and down line which is the y axis

Answer:

(0'3)

Step-by-step explanation:

The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.

Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.

Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.

In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.

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Answer:

315 meters

Step-by-step explanation:

450-135=315

Answer: 315

Mark me brainliest please

Step-by-step explanation:

450-135= 315

The register shown in Figure 8-1 can store a certain number of data bits. Based on the given options, it is not possible to determine the correct answer.

The number of data bits that can be stored in a register is determined by the number of flip-flops or storage elements within the register. Without specific details or information about Figure 8-1, it is not possible to determine the exact number of data bits. To determine the capacity of the register in Figure 8-1, we would need additional information such as the number of flip-flops or the bit width of the register. Without such information, we cannot ascertain the number of data bits that can be stored. Therefore, based on the given options, it is not possible to determine the correct answer.

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The value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2

(1) y/3 + 6 = -3/2

Multiply through by 3

y + 18 = -9/2

Subtract 18 from both sides

y = -18 - 9/2

Take LCM

y = (-18 * 2 - 9)/2

Evaluate

y = -45/2

(2) -2r/3 - 3 = 3

Multiply through by 3

-2r - 9 = 9

Add 9 to both sides

-2r = 18

Divide by 2

r = -9

(3) 2/3 - 2x = x

Multiply through by 3

2 - 6x = 3x

Add 6x to both sides

2 = 9x

Divide by 9

x = 2/9

(4) 7x/2 + -5/2 = 9/2

Multiply through by 2

7x - 5 = 9

Add 5 to both sides

7x = 14

Divide by 7

x = 2

Hence, the value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2

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Answer:

20. \(-\frac{y^{12} }{9x^{4} }\)    

Step-by-step explanation:

21.  \(3 x^{2} y^{2}\)

Answer:

x+5·-2=6

Step-by-step explanation:

5 is common to both factors, hence the greatest common factors of 80 and 45 is 5

The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

According to the question, we are to find the factor of 80 and 45

For 80 =16 * 5

For the value of 45;

45 = 9 * 5

Since 5 is common to both factors, hence the greatest common factors of 80 and 45 is 5

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Answer:

D. (8,1)

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Comment

the perimeter formula is P = 2w + 2L

Givens

w = width.  It is one of the unknowns

L = Length = 2*w + 34

Perimeter = P = 1388

Solution

1388 = 2*w + 2(2w + 34)                    Remove the brackets.

1388 = 2w + 4w + 68                          Subtract 68 from both sides

1388 - 68 = 2w + 4w+68 - 68            Simplify

1320 = 2w + 4w                                  Combine the right.

1320 = 6w                                           Divide by 6

1320/6 = 6w/6

220 = w

Answer

w =                       220

L = 2*220 + 34    474

A rectangular rug has perimeter 1,388 inches. The length is 34 inches more than twice the width. Find the length and width of the rug.

In this question we are provided with the perimeter of a rectangular rug that is 1388 inches. It is also given that the length is 34 Inches more than twice the width. We are asked to calculate the dimensions of the rug.

Let us assume width as x.

Then, length = 2x + 34

We know,

\( \small\boxed{ \rm{ Perimeter_{(rectangle)} = 2(length + width)}}\)

Substituting the values we get

\( \small\sf 1388 = 2(2x + 34 + x)\)

\( \small\rm{ 1388 = 2(3x + 34 )}\)

\( \small\rm{1388 = 6x + 68} \)

\( \small\rm{1388 - 68 =6x } \)

\( \small\rm{1320 = 6x} \)

\( \small\rm{ \dfrac{1320}{6} = x }\)

\( \small\rm{ x= 220} \)

Width = 220 inches

Length = 2 × 220 + 34 = 440 + 34 = 474 inches

To determine the maximum number of 2/0 AWG THW aluminum compact conductors permitted in a 2½-inch PVC conduit, Schedule 80, we need to consult the applicable electrical code or standards.

The number of conductors allowed in a conduit is typically governed by factors such as fill capacity and heat dissipation.

The specific requirements may vary depending on the jurisdiction and the electrical code being followed. It is recommended to consult the local electrical code or a qualified electrician to ensure compliance with the regulations in your area.

They will be able to provide the precise guidelines and restrictions for conductor fill capacity based on the conduit size, type, and the specific application.

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Answer:

the answer is 108 the last choice D

A process is said to be out of control if proportion of defective lies outside the control limits. Since 8% and 7% are outside our upper control limit (UCL) So, 2 batches are defective.

Given that,

100-piece batches of canned soup are produced by Company X. They estimate that there are 2% faulty soup cans in circulation.

We have to find how many of the 3%, 8%, 1%, 2%, and 7% defective can percentages in the five batches fell beyond the higher or lower control limits for the percentage of defective soup cans in the batch.

We know that,

LCL= p-3√(p(1-p)/n)

=0.02-3√(0.02(1-0.02)/100)

=-0.022

Since probability can not be negative.

LCL=0

UCL= p-3√(p(1-p)/n)

=0.02-3√(0.02(1-0.02)/100)

=0.062

Therefore. A process is said to be out of control if proportion of defective lies outside the control limits. Since 8% and 7% are outside our upper control limit (UCL) So, 2 batches are defective.

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If working adults aged 22-25 spend an average of $14.27 a day on food with a standard deviation of $2.25, then Jeremy would spend approximately $23.27 per day if his expenditure is 4 standard deviations above the average.

To calculate how much Jeremy spends per day, we need to find a value that is 4 standard deviations above the average.

Mean (average) = $14.27

Standard deviation = $2.25

To find the amount Jeremy spends per day, we multiply the standard deviation by 4 and add it to the mean:

Jeremy's daily spending = Mean + (4 * Standard deviation)

Jeremy's daily spending = $14.27 + (4 * $2.25)

Jeremy's daily spending = $14.27 + $9.00

Jeremy's daily spending = $23.27

Therefore, Jeremy spends approximately $23.27 per day, rounded to 2 decimal places.

The concept used to solve the problem is based on the standard deviation and the number of standard deviations above the mean.

In statistics, the standard deviation measures the amount of variation or dispersion in a dataset. It tells us how spread out the data points are from the mean.

To find Jeremy's daily spending, we are given the average daily spending ($14.27) and the standard deviation ($2.25). Since Jeremy's spending is described as 4 standard deviations above the average, we need to multiply the standard deviation by 4 to get the amount.

By multiplying the standard deviation ($2.25) by 4, we obtain the additional amount Jeremy spends above the average. Adding this to the mean ($14.27) gives us Jeremy's daily spending of $23.27.

This approach allows us to calculate the value of Jeremy's spending based on the average, standard deviation, and the given number of standard deviations above the mean.

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The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.

Dimensions of outdoor vegetable garden = 2 m × 2 m

Storm rainfall = 0.8 inches of rain

Time of storm = 1 hr(

a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:

Rainfall flux = (Amount of rainfall) / (Area × Time)

Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:

Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)

Converting inches to meters, we get:

1 inch = 0.0254 m

Therefore,

Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr

Converting the rainfall flux to other units:

In kg/hr:

1 kg of water = 1000 g of water

Density of water = 1000 kg/m3

So, 1 m3 of water = 1000 kg of water

So, 1 m2 of water of depth 1 m = 1000 kg of water

Therefore, 1 m2 of water of depth 1 mm = 1 kg of water

Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr

In lbs/hr:

1 lb of water = 453.592 g of water

So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr

In liters/hr:

1 m3 of water = 1000 L of water

So, 1 m2 of water of depth 1 mm = 1 L of water

Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr

In gallons/hr:

1 gallon = 3.78541 L

So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr

(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.

Volume = Area × Depth.

The area of the garden is 2 m × 2 m.

We need to convert the rainfall amount to meters.

1 inch = 0.0254 m

Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m

Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3

Converting the volume to other units:

In liters:

1 m3 of water = 1000 L of water

Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L

In gallons:

1 gallon = 3.78541 L

Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.

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Answer:(7 2/3 - 4 8/9)+ (5 2/3  - 2 1/2)=

Step-by-step explanation:7 2/3 - 4 8/9=25/9  then  5 2/3  - 2 1/2= 3 1/6 simplify that and you get 19/6 add 25/9 and get 107/18 and 107/18 as a mixed number is 5  17/18 is you're answer.