(04.01 HC)
A person with type A blood can donate red blood cells to people with type A or type AB
blood. About 31% of the US population has type A blood. You are asked to design a
simulation to determine the probability that at least 4 of 10 people will have type A blood.
Part A: Conduct five trials using the following table of random digits: (5 points)
96299 07196 98642 20639 23185 56282
94168
86280
59225
69929 14125 38872
18192 08710 80777 84395 69563
70406 18564 69273 72532 78340 36699
46376 58596 14365 63685 56555 42974 72944 96463 63530 24152
47352 04266 74017 79319 70170 96572 08523 56025 89077 57678
71622 35940 81807
03272 41230 81739
74797
Part B: Based on your simulation, what is the probability that at LEAST 4 of 10 people will
have type A blood? (5 points)

Answers

Answer 1

Answer:31%

Step-by-step explanation:


Related Questions

Please help and provide a real step by step explanation
What is the equation of the line that passes through Point (3, -4) and has a Slope of 0.

Answers

Step-by-step explanation:

the slope of a line is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

a slope = 0 means that the y coordinate change is always 0, so y does not change anywhere on the line.

that makes y a constant c, and x can be any value completely independent of y.

the line is the summary of all points that have c as their y coordinate.

so, the general equation for such a line is simply

y = c

what is c ?

as we have one point on the line, remember the statement above : the line is the summary of all points that have c as their y coordinate.

that means (3, -4) must have the same y coordinate.

so, c = -4.

the equation of the line is therefore

y = -4

I WILL MARK BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!
you have to show your work
the scores 4, 6, x, 8, 10 are written in acsending order. find the value of x if the mean of the set equals the median

Answers

Answer:

7

Step-by-step explanation:

(4+6+7+8+10)/5=7

the median is the middle number=7

4, 6, x, 8, 10

The median of the set is 7.5, so the mean must also be 7.5.

4 + 6 + x + 8 + 10 = 35

x = 7

Question 3(Multiple Choice Worth 1 points)
(03.01 LC)

Rewrite the radical expression as an expression with a rational exponent.

the cube root of five to the seventh power

x21
x4
five to the seven thirds power
five to the three sevenths power

Answers

The representation of the radical expression; the cube root of five to the seventh power as an expression with a rational exponent is; five to the seven thirds power.

Which rational exponent expression is equivalent to the radical expression; ³√5⁷?

It follows from the task content that the radical expression given; ³√5⁷ is to be expressed as a rational exponent expression.

Recall that the converse of the rational exponent law of indices is such that; ³√x = (x)^⅓.

Hence, it follows that the expression given;

³√5⁷ = (5⁷)^⅓.

Also, it follows from the power of power law of indices that the expression above can be written as;

5^(7/3).

Ultimately, the equivalent rational exponent expression is; five to the seven thirds power; 5^(7/3).

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Which graph shows the solution to this system of inequalities?
y> 3x-4
y>x +1

Answers

Answer:

Step-by-step explanation:

it is D i took the test

PLEASe HELP I NEED NUMBER 1 there is an ex sample I need the answer and work to it that looks like the ex sample

Answers

a) 20% 60 of  is 12

b) 25% of 24 is 6

c) 4% of 600 is 24

Here the problem we are dealing with is related to percentage, which could be a division or a proportion in which the value of the entire is continuously 100. is represented by the symbol "%".

a) let us consider the missing number to be x

so, the problem will be 20% of  x= 12

=> 20/1000* x= 12

=>20x= 12*100

=> x= 12*100/20 = 60

b) let the percentage be x

so, the problem will be x% of 24 =6

=>x/100* 24= 6

=>24x=600

=>x=600/24 =25

c)  here, we are given  4% of 600=?

=4/100* 600

=24

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Find the area of the rectangle.
1 1/2 yd
58/ 8 yd

Answers

Answer:

[tex]\sf Area = 10\dfrac{7}{8} \yd^2[/tex]

Step-by-step explanation:

Area of rectangle:

     Area = length *breadth

Convert the mixed fraction to improper fraction.

[tex]\sf 1\dfrac{1}{2}=\dfrac{3}{2} \ yd[/tex]

[tex]\sf area = \dfrac{3}{2}*\dfrac{58}{8}\\\\[/tex]

      [tex]\sf = \dfrac{3*29}{8}\\\\=\dfrac{87}{8}\\\\= 10\dfrac{7}{8} \ yd^2[/tex]

       

A flight to Sydney to Auckland takes 3 hours and 12 minutes, Auckland times is 2 hours ahead of Sydney's if the flight departed Sydney at 10:10 am at what time did it arrive at Auckland

Answers

Flight will reach Auckland at 11:22 am with respect to Auckland time.

We have the following given information which states as follows

A flight to Sydney to Auckland takes 3 hours and 12 minutes.

∴ Total journey time = 3hr 12min.

Auckland times is 2 hours ahead of Sydney's time.

∴ Change in time will be 2hr

The flight departed Sydney at 10:10 am

∴ Flight will reach Auckland after the journey time

∴ Flight will reach Auckland after 3hr 12min

∴ Flight will reach Auckland at 01:22 pm

But Auckland times is 2 hours ahead of Sydney's time.

∴ Change in time will be 2hr

∴ Flight will reach Auckland 2hr less than the considered reach time with respect to Sydney.

∴ Flight will reach Auckland at 11:22 am.

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Which of these ordered pairs is NOT a solution to this system

Answers

Answer:

C

Step-by-step explanation:

to determine which ordered pair is not a solution , substitute the coordinates of the point into the inequalities and check the validity. Note that both inequalities must be true for the point to be a solution.

A (- 3, 3 )

3  ≥ - 3 - 5

3 ≥ - 8  ← true

3(3) < - 6(- 3) + 3

9 < 18 + 3

9 < 21 ← true

------------------------------------------

B ( - 1, 2 )

2 ≥ - 1 - 5

2 ≥ - 6 ← true

3(2) < - 6(- 1) + 3

6 < 6 + 3

6 < 9 ← true

------------------------------------------

C (4, 5 )

5 ≥ 4 - 5

5 ≥ - 1 ← true

3(5) < - 6(4) + 3

15 < - 24 + 3

15 < - 21 ← false

-------------------------------------------

D (- 6, 0 )

0 ≥ - 6 - 5

0 ≥ - 11 ← true

3(0) < - 6(- 6) + 3

0 < 36 + 3

0 < 39 ← true

--------------------------------------------

Both inequalities are true in A, B , D

Both inequalities in C are not true so (4, 5 ) is not a solution to the system

Selena is 2 years older than Maria, and Sofia is 3 years younger than Maria. If the sum of their ages is 44, then how old is each girl? (Let Maria’s age =
x
.)

Answers

Selena is 17
Sofia is 12
Maria is 15

The length, d, of a violin string varies inversely as the frequency, f, of its vibrations (cycles per second). Suppose it is known that a 16-in.-long violin string vibrates 320 cycles per second.

A. Write an inverse variation equation modeling this information

B. Use your inverse variation equation from Part A to determine the frequency of an 8-inch-long violin string.

Answers

An 8-inch violin string has a frequency of 640 cycles per second using the  inverse variation equation.

Who defines frequency?The pace of direction changes in current per second is known as frequency. It is expressed in hertz (Hz), a unit of measurement that is used internationally. One hertz is equivalent to one cycle per second. One hertz (Hz) is equivalent to one cycle per second.

Given: A 16-inch violin string is known to vibrate at 320 cycles per second.

We know that,

Using the frequency equation where l for the length of the string and f for the frequency.

f = k/l

320  = k/16

k = 5120

So, the equation becomes f = k/l

For l = 8

f = 5120/8

f = 640

Therefore, the frequency of an 8-inch-long violin string is 640 cycles per second.

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name a pair of vertical angles.

Answers

Answer:

The vertical angles are

1 and 3

2 and 4

if 180 is 37.5% of the whole what would be the whole

Answers

480

Let y be the number we have to calculate

37.5% * y = 180

(100 * 180) / 37.5

18,000 / 37.5 = 480


V = 2/9πr³
Solve for r

Answers

Answer:

Step-by-step explanation:

step 1: multiply both sides by 9π to get V9πr³=2

step 2: divide both sides by V9π to get r³=2/(V9π)

step 3: take the cubed root of both sides to get r=∛[2/(V9π)]

what do i do to create a graph for c=3p

Answers

Answer: Graph the line using the slope and y-intercept, or two points.

Slope: 3

y-intercept: (0,0)

Step-by-step explanation: Example graph for c=3p .

thirteen thousand, forty-one and six ten-thousandths in numbers
also
thirteen thousand, forty-one and six ten-thousandths in numbers

Answers

Answer: for number 1  13,416

Step-by-step explanation: i think that is the correct answer i could be wrong

uestion 14 (2 points)
3
What is the equation of a line that passes through point (3,-5) and is perpendicular to y = -x+5?
Enter your answer with no spaces.
A/

Answers

A line that passes through point (3,-5) and is perpendicular to y = -x+5 has the equation y = x - 8.

What is a straight line equation?

A straight line has an equation of y=mx + c, where m is the gradient and c is the constant, also known as the y-intercept, at which the line crosses the y-axis.

How do you determine the line's equation?

In order to put the equation in y-intercept (y = mx + b) form and determine the equation of a graphed line, first determine the slope and y-intercept.

It is given that a line's equation passes through point (3,-5) and is perpendicular to y = -x+5.

Slope of given line = -1

Slope of line perpendicular to the given line = Negative of the reciprocal of the slope of a given line = 1

We have the slope and point (3,-5) of the required line. So, we can find the constant of this equation.

y = mx + c

-5 = 1(3) + c

c = -5 - 3

c = -8

Substituting c = -8 and m = 1 to get the equation of required line.

y = mx + c

y = x - 8

As a result, the equation of a line passing through point (3,-5) and perpendicular to y = -x+5 is y = x - 8.

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Size Weight (lbs)
Extra large 6/1/2
Medium 3/1/4
Small 1/5/8
How many times as heavy is the extra large pizza than the small pizza?
uite in simplest form.

Answers

After doing some mathematical operations, we conclude that extra large pizza is 4x times heavier than small size pizza.

What exactly are mathematical operations?The rules that specify the order in which we should perform multiple operations to solve an expression are known as the order of operations. Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction are in the following order: PEMDAS (from left to right). A function in mathematics known as an operation is one that transforms zero or more input values into a clearly defined output value. The operation's complexity is determined by its operand count.

So, times extra large pizza is heavy than small pizza:

Extra large pizza: 6½ ⇒ 13/2Small pizza: 1⅝ ⇒ 13/8

Now, perform operations as follows:

(13/2)/(13/8)13/2 × 8/138/24

Therefore, after doing some mathematical operations, we conclude that extra large pizza is 4x times heavier than small size pizza.

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The correct question is given below:

Use the Table that shows the weights of three sizes of pizza.

Extra Large Pizza - 6 1/2

Medium Pizza - 3 1/4

Small Pizza - 1 5/8

(A) How many times as heavy is the extra large pizza than the small pizza?


Eugene bought magazines for $6 each and paperback books for $3 each for a total of $54. Define your variable and write an equation in standard form to represent the situation

Answers

The standard form of the equation representing magazines and paperback books bought is is 6x + 3y = 54

How to find the equation in standard form

Information given in the question include:

Eugene bought magazines for $6 each and paperback books for $3 each total of $54

Definition of variables

let the number of magazines bought be x

let the number of paperback books bought be y

The total amount paid for the magazines = $5 * x = 6x

The total amount paid for the paperback books = $3 * y = 3y

Finding the equation

Summing the amounts paid to be equal to the total amount spent which is $54 is given in the equation as written below

6x + 3y = 54

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Find the slope of a line that passes through the following two points: (-1, -4) and (2, 2).

Answers

Answer:

-2/3

Step-by-step explanation:

y=mx+c

m is the gradient/slope

m= y2-y1 / x2-x1

you can label any point as your x1y1 and x2y2, you will still get the same answer

x-y=5 find the x and y intercepts

Answers

Yes that is correct

If benzene has a density of 0.8787 g/mL, what is the volume of 131.8 g of benzene?

Answers

The benzene has a volume value of 149.99 mL

How to determine the volume of the benzene?

From the question, the given parameters are

Density of benzene = 0.8787 g/mL

Mass of benzene = 131.8 g

The volume of the benzene is then calculated using

Density = Mass/Volume

Make Volume the subject of the formula

So, we have

Volume = Mass/Density

Substitute the known values in the above equation

So, we have the following equation

Volume = 131.8/0.8787

Evaluate the quotients in the equation

Volume = 149.99

Hence, the volume of the benzene is 149.99 mL

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Which number is not in scientific notation? (3 points)

Group of answer choices

0.5 ⋅ 103

2.01 ⋅ 10−2

1.3 ⋅ 10−4

6 ⋅ 1025

Answers

Answer:

0.5 ⋅ 103

Step-by-step explanation:

forty-two thousand, six hundred eighty-three times seven equals blank
296,702
296,576
298,781
299,852

Answers

The answer would be 298,781. 42,683x7

Step-by-step explanation:

forty-two thousand, six hundred eighty-three times seven equals blank

42683 × 7 = _____

42683 × 7 = 298781

no joking around and no links

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by 4.9t² + 142t+ 346. h(t) Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?

A.The rocket splashes down after seconds. Round your answer to the nearest second.

B.How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level. Round your answer to the nearest meter.​

Answers

a. The rocket splashes down after 31.23 seconds.

b.  The rocket is 1374.7 meters above sea level.

NASA launches a rocket at t=0 seconds.

Its height, in meters above sea-level, as a function of time is given by

h(t)=-4.9t²+142t+346.

Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?

When splash down occurs, h(t) = 0, therefore

-4.9t²+142t+346 = 0

find t using the quadratic formula; a=4.9, b=142, c=346

t = -142 ± √(142)² - 4(-4.9)(346) / 2(-4.9)

t = -142 ± 164.15 / -9.8

t = -142+164.15/-9.8 , -142-164.15/-9.8

t = 22.15/-9.8 , -306.15/-9.8

t = -2.26 , 31.23

time cannot be negative so t = 31.23

The rocket splashes down after 35.8229 seconds.

The max occurs on the axis of symmetry, use x=-b/(2a) to find it

t = -142/2(-4.9)

t = 142/9.8

t = 14.48 sec

replace t with 17.2449 in the equation

h(t) = -4.9(14.48)² + 142(14.48) + 346

= 1374.7 m

The rocket peaks at 1374.7 meters above sea-level.

Hence we get the answers.

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. A swim coach has at most $800 to buy equipment for the swim team. Each
pull buoy costs $5.50 and each kickboard costs $10. Let X represent the
number of pull buoys and y represent the number of kickboards.
a. Write an inequality for the scenario..
5.50x+10y_< 800 I already wrote the inequality now graph the inequality

Answers

A mathematical phrase in which the sides are not equal is referred to as being inequal. The point (80, 35) exists in the solution space. The coach could buy 80 pull buoys and 35 kick boards.

What is meant by inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

A mathematical phrase in which the sides are not equal exists directed  to as being inequal. In essence, a comparison of any two values reveals whether one exists less than, larger than, or equivalent to the value on the opposite side of the equation.

A) The sum of costs must not exceed the budget:

5.50x +10.00y ≤ 800

B) Let the inequality be 5.50(0) +10.00(50) = 500 ≤ 800

Yes, the coach could buy these

C) Let the inequality be 5.50(125) +10.00(25) = 937.50 > 800

No, they cost too much

D) The point (80, 35) exists in the solution space. The coach could buy 80 pull buoys and 35 kick boards.

The complete question is:

A swim coach has at most $800 to buy equipment for the swim team. Each pull buoy costs $5.50 and each kickboard costs $10. Let x represent the number of pull buoys and y represent the number of kickboards.

A) Write an inequality for the scenario

B) could the coach purchase zeros pull buoys and 50 kickboards?

C) could the coach purchase 125 pull buoys and 25 kickboards?

D) What other combination of pull buoys and kickboards works for your inequality?

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What is the vertex form of the equation?
y = x² + 8x-6
Oy=(x-4)²-22
Oy=(x-4)² + 22
O y = (x+4)² - 22
Oy = (x+4)² + 22

Answers

Answer:

C

Step-by-step explanation:

One of the quick ways of getting the answer is to graph the  equation. I have done that for you at the bottom of this answer. However, I think you want the written solution.

Equation

y = x^2 + 8x - 6                        Put brackets around the first 2 terms

y = (x^2 + 8x) - 6                      Take 1/2 the second term and square

8/2 = 4;   4^2 = 16                    Put 16 after the second term

y = (x^2 + 8x + 16)   - 6             Subtract 16 and put it after the 6

y = (x^2 + 8x + 16) -6-16           Combine

y = (x^2 + 8x + 16) - 22

The first 3 terms make a perfect square (x^2 + 8x + 16) = (x + 4)^2

So the answer is between C and A

y = (x + 4)^2 - 22

Determine which integer(s) from the set S:{−18, 2, 15, 20} will make the inequality five sixths m minus four is less than one third m plus 5 false.

Answers

Number 20 from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.

As per the question statement, we are supposed to find  the  integer(s) from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.

Let's write the given statement in numeric form first, we get

[tex]\frac{5m}{6} -4 < \frac{m}{3} +5[/tex]

Let's solve the inequality for "m"

We get 3m/6 <9

or 3m <54

or m < 18

Therefore all values of m < 18 will make the inequality true and m>18 will make the  inequality false.

The value of m > 18 in the above given set S:{−18, 2, 15, 20} is 20, hence number 20 from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.

Inequality: An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

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Answer: its 20 or 15 i belieive its 20 tho

Step-by-step explanation:

Given equal probabilities of the birth of a xy or xx, what is the probability that a group of four siblings includes all xy? all xx? all xy or all xx?.

Answers

The probability that a group of four siblings includes all XY is 1/16 (6.5%), while the probability all XX offspring is 1/16 (6.5%). It is a simple genetic probability calculation.

Genetic probabilities and chromosomes

Females inherit two chromosomes X, whereas males inherit one chromosome X and one chromosome Y.

The probabilities of inherent two chromosomes X (females) are 1/2 (50%), while the probabilities of inherent one chromosome X and one chromosome Y (males) are also 1/2.

In consequence, the probability that a group of four siblings includes all XY is 1/16 (because it is equal to 1/2 x 1/2 x 1/2 x 1/2 = 1/16), the same for the probability all XX offspring (1/16).

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Spaceship model kids originally cost d dollars online. You buy each kit on sale for 30% of the original price, plus a shipping fee of $3.50 per kit. After assembly, you sell each model online for (2.5d + 5) dollars. What is your profit on each model spaceship sold?

Answers

Your profit on each model spaceship sold is; (1.2d + 1.5) dollars

How to solve Algebra Word problems?

We are told that the original cost of the spaceship model was d dollars. Now, you buy each kit on sale at 30% of the original price.

Thus;

Amount of each kit with the 30% of original price = 30%d = $0.3d

Total cost of each kit with shipping fee = (0.3d + 3.5) dollars

Now, he sells each model at (2.5d + 5) dollars.

Now, formula for profit is;

Profit = Selling Price - Cost Price

Profit = (2.5d + 5) -  (0.3d + 3.5)

Profit = (1.2d + 1.5) dollars

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How could you use parallel lines to compare figures Q and R? Explain your
reasoning.

Answers

Answer:

Answer down below!

Step-by-step explanation:

Using your knowledge of parallel lines, you know that parallel lines are most often time never touching, but on the same plane. The top of R and the bottom line of Q are parallel because they don't intersect each other.

We also notice that the shapes are the same length, so we have this conclusion!

Q and R are identical because they share opposite, parallel lines.

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