Probability of dependent events

Altogether, they would donate a total of 380 milliliters of blood.

To calculate the total amount of blood donated by the military person and the civilian person, we need to determine the amount of blood donated by each individual and then sum them up. Let's go through the steps:

Calculate the amount of blood donated by the military person:

The military person donates 15% of their blood for 10 dollars. Since we don't have the specific measurement of their blood volume, we can assume a standard unit. Let's assume their total blood volume is 1 liter (1000 milliliters).

15% of 1000 milliliters = 0.15 * 1000 = 150 milliliters.

Calculate the amount of blood donated by the civilian person:

The civilian person donates 23% of their blood for 20 dollars. Using the same assumption of a blood volume of 1 liter (1000 milliliters):

23% of 1000 milliliters = 0.23 * 1000 = 230 milliliters.

Calculate the total amount of blood donated:

To find the total amount of blood donated, we sum up the amounts donated by the military person and the civilian person:

Total blood donated = 150 milliliters + 230 milliliters = 380 milliliters.

Therefore, altogether, they would donate a total of 380 milliliters of blood.

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Answer:

its a! sorry im so late

Step-by-step explanation:

Answer:

2) -3x+10

4) -4x+10+x

Step-by-step explanation:

Use the distributive property to get rid of the parentheses.

(2 × -2x) + (2 × 5) + x

-4x + 10 +x is correct, but the x's can be combined.

(-4x + x) + 10 = -3x + 10

Answer:

:>>>>>>>>>>>>>>>>>>>

Step-by-step explanation:

lalala

Answer:

It seems that your question is missing something, it looks like a question to a previous question. Please add all info when making a question. Also you can comment underneath my reply with that additional info.

Answer:

c is the answer

2 1/2 X 2 1/3 ( 1/2 and 1/3 is in power)

2 1/2+1/3

2 5/6

Answer: -15x+30

Step-by-step explanation:

-3(5x-10)=

-3*5x-10(-3)=

-15x-(-30)=-15x+30

Answer:

-15x-30

Step-by-step explanation:

Just multiply -3 by 5 in 5x and get -15 and then put x back with -15. thhen multiply -3 by 10 and get -30

Answer:

1 × 10^(-5)

Step-by-step explanation:

The scientific notation of the given number is 1.0×10⁻⁵.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

The given number is 0.000010.

Here, scientific notation is

1.0×10⁻⁵

Therefore, the scientific notation of the given number is 1.0×10⁻⁵.

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Using Euler's method with step size h = 0.2, the approximate solution to the initial value problem at x = 4.2, 4.4, 4.6, and 4.8 is 4.8, 10.344, 21.719650882754717, and 65.86222981762188, respectively.

To approximate the solution to the initial value problem using Euler's method with a step size of h = 0.2, we can follow these steps:

Step 1: Define the differential equation:

Given initial value problem:

dy/dx = 3/x(y^2 + y), y(4) = 3

Step 2: Define the step size:

h = 0.2

Step 3: Define the points at which we want to approximate the solution:

x = 4.2, 4.4, 4.6, and 4.8

Step 4: Implement Euler's method:

We'll use the iterative formula:

y[i+1] = y[i] + h * f(x[i], y[i])

where x[i+1] = x[i] + h, and f(x[i], y[i]) represents the value of dy/dx at x[i] and y[i].

Using the given initial value y(4) = 3, we'll start with x = 4 and y = 3.

For x = 4.2:

x[1] = 4 + 0.2 = 4.2

y[1] = y[0] + h * f(x[0], y[0])

= 3 + 0.2 * (3/4 * (3^2 + 3))

= 3 + 0.2 * (3/4 * 12)

= 3 + 0.2 * 9

= 3 + 1.8

= 4.8

For x = 4.4:

x[2] = 4.2 + 0.2 = 4.4

y[2] = y[1] + h * f(x[1], y[1])

= 4.8 + 0.2 * (4.2/4.8 * (4.8^2 + 4.8))

= 4.8 + 0.2 * (4.2/4.8 * 31.68)

= 4.8 + 0.2 * 27.72

= 4.8 + 5.544

= 10.344

For x = 4.6:

x[3] = 4.4 + 0.2 = 4.6

y[3] = y[2] + h * f(x[2], y[2])

= 10.344 + 0.2 * (4.6/10.344 * (10.344^2 + 10.344))

= 10.344 + 0.2 * (4.6/10.344 * 127.051344)

= 10.344 + 0.2 * 56.87825441377359

= 10.344 + 11.375650882754718

= 21.719650882754717

For x = 4.8:

x[4] = 4.6 + 0.2 = 4.8

y[4] = y[3] + h * f(x[3], y[3])

= 21.719650882754717 + 0.2 * (4.8/21.719650882754717 * (21.719650882754717^2 + 21.719650882754717))

= 21.719650882754717 + 0.2 * (4.8/21.719650882754717 * 1007.8317707837554)

= 21.719650882754717 + 0.2 * 220.7128946743358

= 21.719650882754717 + 44.14257893486716

= 65.86222981762188

Therefore, the approximate solution to the initial value problem at the points x = 4.2, 4.4, 4.6, and 4.8 is:

For x = 4.2, y ≈ 4.8

For x = 4.4, y ≈ 10.344

For x = 4.6, y ≈ 21.719650882754717

For x = 4.8, y ≈ 65.86222981762188

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Answer:

<4 = 88

<3 = 92

Step-by-step explanation:

The sum of the angles of a triangle is 180

<4 + 45+ 47 = 180

<4 + 92 = 180

< 4 = 180-92

<4 = 88

We know the <3 and <4 form a line

<3 + <4 = 180

<3 + 88 = 180

< 3 = 180-88

<3 = 92

The slope of a logarithmic graph depends on the type of logarithm used.

For a logarithmic function in the form y = log(b,x) where b is the base of the logarithm, the slope of the graph is undefined for x=0 and for x<0 because logarithmic functions are not defined in those cases.

For a natural logarithm, the slope is negative infinity at x=0 and positive for x > 0. As x increases, the slope becomes closer to zero.

For a common logarithm, the slope is negative infinity at x=0 and positive for x > 0. As x increases, the slope becomes closer to zero.

It's important to note that logarithmic functions are not linear functions, and therefore they do not have a constant slope, the slope of a logarithmic graph will change throughout the graph.

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Answer:

\(x + 7p \\ \\( - 1) + 7 \times 8 \\ \\ ( - 1) + 56 \\ \\ - 55\)

Hello there!

-1+7*8

-1+56

55

Hope this helps you!

~Just a joyful teen

\(SilentNature\)

Given:

Mean = 10 minutes

Standard deviation = 3 minutes

Required:

Determine the percent of emergency calls with a police response time

(a) between 8 and 12 minutes

(b) less than 11 minutes

Explanation:

(a) The percent between 8 and 12 is:

Step-by-step explanation:

Ratio of pink to blue eraser = 4/12 = 1/3

= 1:3

Answer:

1:3

Step-by-step explanation:

The ratio of pink:blue erasers is 4:12. Then you simplify, 4 and 12 both have 4 in common. 4 goes into 4 one time, and 4 goes into 12 three times. So your simplified answer is 1:3.

The values they represent for each of the five data types shown are below.

What is hexadecimal numbers?

The base-16 numbering scheme is known as hexadecimal. Consequently, this system uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 15. That implies that the two-digit decimal numbers 10, 11, 12, 13, 14, and 15 cannot exist in this numbering system unless they are represented by a single numeral.

For x434F4D50

Unsigned binary - 0000 0100 0011 0100 1111 0100 1101 0101 0000

1's complement - 1111 1011 1100 1011 0000 1011 0010 1010 1111

2's complement 1111 1011 1100 1011 0000 1011 0010 1011 1111

IEEE 754 Floating point - 207.302001953125

ASCII string -COMP

For x55544552

Unsigned integer: 0000 0101 0101 0101 0100 0100 0101 0101 0010

1's complement 1111 1010 1010 1010 1011 1011 1010 1010 1101

2's complement1111 1010 1010 1010 1011 1011 1010 1010 1110

IEEE floating point 1.4587137097728E13

ASCII string: UTER

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both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.

China is using the comparative advantage perspective in regards to not trading silk with Germany in exchange for automobiles. According to the theory of comparative advantage, a country should specialize in producing and exporting the goods or services that they can produce more efficiently or at a lower opportunity cost compared to other goods and services.

In this case, China has a comparative advantage in producing silk and a comparative disadvantage in producing automobiles compared to Germany, which has a comparative advantage in producing automobiles and a comparative disadvantage in producing silk.

Hence, both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.

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Given a nominal exchange rate of 0.89 between the American dollar and the Canadian dollar, the amount of approximately 2.225 American dollars are required to purchase a product costing 2.5 Canadian dollars.

To find the equivalent amount in American dollars, we can multiply the cost of the product in Canadian dollars by the exchange rate. In this case, multiplying 2.5 Canadian dollars by 0.89 gives us the value in American dollars.

Using the calculation, 2.5 Canadian dollars * 0.89 American dollars/Canadian dollar = 2.225 American dollars.

Therefore, it would require approximately 2.225 American dollars to purchase the product that costs 2.5 Canadian dollars.

It's important to note that exchange rates can fluctuate, and transaction fees or other charges may apply when exchanging currencies. The provided calculation assumes a simple conversion based on the given exchange rate, without factoring in additional costs that may be incurred during the currency exchange process.

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The probability that the train will be there when Alex arrives is 5/18

If Alex arrives at any time after 1.20pm the chances that train will  be there is 1/3.

However  if alex arrives at 1.00pm exactly there is no chance the train will be arrive there.

The probability that the train will be there increase linearly to 1/3 as alex's arrival time moves from 1.00pm to 1.20pm.

By arranging the probabilities over the first 20 minutes to get a 1/6 chance the train will be there if alex arrives between 1.00pm to 1.20pm

we get the final answer by

=1/3( 1/6 + 1/3 + 1/3)

=5/18

So, the probability that the train will be there when Alex arrives is 5/18

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Answer:

5 gallons

Step-by-step explanation:

If you turn 2 3/4 to a decimal it is 2.75 and from there just add

2.75 + 1.5 + 0.75 = 5

Hope this helped!

Answer:

Step-by-step explanation:

Because the answer asks for the answer as a decimal, the only number you need to convert to a decimal is 2 3/4 of red paint.

2 is the whole number, so it will be before the decimal point.

Technically, the only thing you really have to convert is 3/4, which you can do by dividing the numerator (top number) by the denominator (bottom number).

3/4=.75

After adding 2 in front of the decimal point, you get 2.75.

Now all we have to do is add all of the decimals together.

2.75+.75+1.5=5

The total gallons of paint that Monica will use to paint her kitchen is 5.

Have a fantastic day...hope this helped you!!! c:

The answer is (D). Testing the effectiveness of a mouthwash by allowing one group to use it and comparing the results with those of a group that doesn't use it.

In a probability sample also called "scientific" or "random" sample each member of the target population has a known and non-zero probability of inclusion in the sample.

Given four options out of which we are to select the correct one which is an experiment.

We can see that the options (A), (B) and (C) are not experiments, because their results are fixed from before. The results are not random in these three options.

On the other hand, the option (D) represents an experiment, because the outcome are random, not fixed.

Thus, (D) is the correct option.

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Answer:

  C.  55°

Step-by-step explanation:

You want the measure of angle A = x+61 in the triangle where the other two angles are marked (x+51) and 80°.

The sum of angles in a triangle is 180°, so we have ...

  (x +61)° +(x +51°) +80° = 180°

  2x = -12 . . . . . . . . . . . . . . divide by ° and subtract 192

  x = -6 . . . . . . . . . . divide by 2

Using this value of x in the expression for angle A, we find that angle to be ...

  ∠A = x +61 = -6 +61 = 55 . . . . degrees

The measure of angle A is 55 degrees.

__

Additional comment

In the attached, we have formulated an expression for x that should have a value of 0: 2x+12 = 0. The solution is readily found to be x=-6, as above. We used that value to find the measures of all of the angles in the triangle. The other angle is 45°.

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Answer:

The cost of the other ride Jacob took = $22

The amount Mariah spends on the photo boot with Jacob = $5

Step-by-step explanation:

The given information are;

Whereby the question states that amount Mariah and Jacob each have to spend = $35

The amount Jacob spends on the first ride = $13

The amount Mariah spends on the 3 cup cakes = $10

The amount Mariah spends on the photo boot with Jacob = $5

Let the cost of the other ride Jacob took = R

Given that Jakob spent all his available money at the fair, we have;

35 = 13 + R

R = 35 - 13

R = $22

Therefore, the cost of the other ride Jacob took = R = $22

The amount Mariah spends on the photo boot with Jacob = $5.

Step-by-step explanation: Im pretty sure it would be D or the 4th option because the sides would be in between those two but im not 100 percent sure. Good luck.

The recursive formula that represents the same sequence of numbers as the explicit formula an = 3n + 4 is an = an-1 + 3, with the initial term a1 = 7.

A recursive formula defines a sequence by expressing each term in terms of previous terms. In this case, the explicit formula an = 3n + 4 gives us a direct expression for each term in the sequence.

To find the corresponding recursive formula, we need to express each term in terms of the previous term(s). In this sequence, each term is obtained by adding 3 to the previous term. Therefore, the recursive formula is an = an-1 + 3.

To complete the recursive formula, we also need to specify the initial term, a1. We can find the value of a1 by substituting n = 1 into the explicit formula:

a1 = 3(1) + 4 = 7

Hence, the complete recursive formula for the sequence is an = an-1 + 3, with the initial term a1 = 7. This recursive formula will generate the same sequence of numbers as the given explicit formula.

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Answer:

D

Step-by-step explanation:

(5/9)^8

You distribute the exponent 8 to both the 5 and the 9, so D is just 1 step more simplified.

Answer:  The correct option is (D) {5^8}{9^}.

hope this helps. ;)