Answer:
You can think percentages as fractions by always using the denominator as 100 and the percentage as the numerator. For example, 10% would be 10/100 or 1/10 and 25% as 25/100 or 1/4 and 75% as 75/100.
3. People with type O-negative blood are universal donors (any patient can
receive a transfusion of O-negative blood). Only about 6.6% of the American
population has O-negative blood. If 270 unrelated people give blood in a certain
week, how many of these people do we expect to be universal donors? (Hint:
Remember to convert percent numbers to decimals before multiplying.)
PLEASE HELP
Answer:
We expect 17.82, that is, approximately 18 people to be universal donors.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are universal donors, or they are not. The probability of a person being an universal donor is independent of any other person. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Only about 6.6% of the American population has O-negative blood.
This means that [tex]p = 0.066[/tex]
If 270 unrelated people give blood in a certain week, how many of these people do we expect to be universal donors?
This is E(X) when [tex]n = 270[/tex]. So
[tex]E(X) = np = 270*0.066 = 17.82[/tex]
We expect 17.82, that is, approximately 18 people to be universal donors.
Charles asked his teammates how many hours they practiced swimming during the week. He recorded his data in the table below and used the shaded columns to calculate three sample means. What is the range of the values for the sample means?
Hours of Swim Practice
4
5
3
6
3
8
3
5
4
7
6
2
4
5
3
5
2
3
4
6
1
2
3.75
4.75
Answer: B
Step-by-step explanation:
took test :)
Answer:
The answer is B
Step-by-step explanation:
2
Caroline earns $139.50 for 6 hours of work. If she makes a constant hourly wage, which table represents the relationship between the number of hours she works and her total earnings?
Answer:
Table A.
Step-by-step explanation:
$139.50 / 6 hours = $23.25 an hour
1 hour of work = $23.25 earned
(now add $23.25 for the next hour of work)
2 hours of work = $46.50 earned
(now add $23.25 for the next hour of work)
3 hours of work = $69.75
(now add $23.25 for the next hour of work)
4 hours of work = $93 earned
(now add $23.25 for the next hour of work)
5 hours of work = $116.25 earned
(now add $23.25 for the next hour of work)
6 hours of work = $139.50 earned
(now add $23.25 for the next hour of work)
7 hours of work = $162.75 earned
(now add $23.25 for the next hour of work)
8 hours of work = $186 earned
(now add $23.25 for the next hour of work)
9 hours of work = $209.25
(now add $23.25 for the next hour of work)
10 hours of work = $232.50
and continued on...
(I did ten hours of work to help out if you had to write the hours and money earned) I hope this helps :)
Add, simplify the answer and write it as a mixed number
please give the answer and explain
I beg yall i am giving all my points
please help please I will make brainliest please
Answer:
I think u add those numbers up because it's saying figure out the volume below. it must be adding.
Step-by-step explanation:
so just separate the shape into 2 . then you will have one cube 8×8×8 and a rectangle 9×4×8 find the volume of both and then add them together
what does f + t equal?
5500
10
900
Answer:
What is f & what is t?
The midpoint of AB is (-1,5) and the coordinates of pt.A are (-3,2) find The coordinates of point B
Answer:
the coordinates of B is (-2,5)
Step-by-step explanation:
please help me this is so confusing
Answer:
13.5 ft
Step-by-step explanation:
base = 18ft
To find the height, take 75% of 18
To do this, take the decimal form of 75% (which is 0.75) and multiply that by 18:
0.75 x 18 = 13.5
13.5 would be the height
Answer:
13.5?
Step-by-step explanation:
A positive angle less than 360 degrees that is coterminal with -5 degrees is
Answer:
[tex]\theta = 355[/tex]
Step-by-step explanation:
Given
Let the angle be [tex]\theta[/tex]
[tex]\theta < 360[/tex]
[tex]\theta[/tex] is co-terminal with -5
Required
Find [tex]\theta[/tex]
Start by dividing 5 by 360 (ignore the negative)
[tex]\frac{5}{360} = 0.0138[/tex]
The nearest integer greater than 0.0138 is 1.
This implies that if you were to draw for this problem, the circle you would draw to show -5 degrees would go around 1 time
So, [tex]\theta[/tex] is calculated as:
[tex]\theta = -5 + 1*360[/tex]
[tex]\theta = -5 +360[/tex]
[tex]\theta = 355[/tex]
Visa charges 24.5% on the balance each month. Find the new balance for $2000 after I month
Answer:
I think $490
Step-by-step explanation:
Don't quote me on that
−3x+6=39
What is the value of x?
Answer:
x = -11
Step-by-step explanation:
−3x + 6 = 39
-3x = 33
x = -11
Step-by-step explanation:
-3x+6=39
-3x=39-6
-3x=33
x=33/-3
x=11
Find the domain of the graphed function
Roberto's parents opened a savings account for him by depositing $250 on his birthday. The account earns simple interest at an annual rate of 5%. How much will be in Roberto's account after 5 years
Answer:1250
Step-by-step explanation:250x5=1250
what is 33x2+3 who wants to zo om
Answer:
33x2=66
66+3=69
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
PEMDAS their are no parenthesis no exponents but their is multiplication 33 times 2 is 66 their is addition 66 plus 3 is 69
Please help i have been trying to figure this out for like an hour
Answer:
B
Step-by-step explanation:
Since x varies directly as y, the ratio of x to y remains the same. Let the value of x when y=4 be a. Then we have
[tex]\dfrac {7 \frac12} {10} = \dfrac a4[/tex]
We can cross multiply to get that
[tex]10a = 30, \text{so } \boxed{a=3}[/tex]
Jamie recorded the number of points she scored during her last 5 basketball games. She scored, 15, 25, 10, 2, and 8 points. What is the mean absolute deviation of the points she scored during the last five games?
Answer:
6.4Step-by-step explanation:
Given scores:
15, 25, 10, 2, and 8Mean of the scores:
(15 + 25 + 10 + 2 + 8)/5 = 12Absolute deviations:
|15 - 12|= 3|25 - 12|= 13|10 - 12| = 2 |2 - 12| = 10|8 - 12| = 4Sum of absolute deviations:
3 + 13 + 2 + 10 + 4 = 32Mean absolute deviation:
32/5 = 6.4total no of game (n)=5
score =15, 25, 10, 2, and 8 points
mean= sum of score/no.of game
=(15+25+10+2+8)/5=60/5=12
absolute deviation of
15=\15-12\=3
25=\25-12\=13
10=\10-12\=2
2=\2-12\=10
8=\8-12\=4
mean absolute deviation=
(3+13+2+10+4)/5=3.6
is the mean absolute deviation of the points she scored during the last five games.
the sum of three times the square of a number and -7
Answer:
3x² - 7
Step-by-step explanation:
3 times (number squared) and sum with (-7)
3 times x² and add (-7)
3x² + (-7)
3x² - 7
Find the value of x
NEED HELP ASAP PLS NO FILE DROPS OR I WILL REPORT THANKS
Answer:[tex]x=15[/tex]
Step-by-step explanation:
Angles that are opposite from each other are going to be the same in this case.
Let's plug in 15 into x
[tex]4(15)+8\\60+8\\68[/tex]
Mary sells fruit with four of her friends. If the earnings are divided evenly
much must the business make in order for each person to earn $30?
In the problem above, how many partners are included in this business?
Simplify 2/5 + 1/3
I NEED THIS ASAP
Answer:
(11/15)'s
Step-by-step explanation:
(2/5) is equal to (6/15)
(1/3) is equal to (5/15)
(5/15)+(6/15)=(11/15)
David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500. How much would David make as a salary after 4 years working for the company? What would be his salary after t t years?
Answer:
After 4 years working for the company, he would make $79,000 of salary.
His salary after t years will be:
[te]S(t) = 69000 + 2500t[/tex]
Step-by-step explanation:
David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500.
This means that after t years, his salary will be given by:
[te]S(t) = 69000 + 2500t[/tex]
How much would David make as a salary after 4 years working for the company?
[te]S(4) = 69000 + 2500*4 = 69000 + 10000 = 79000[/tex]
After 4 years working for the company, he would make $79,000 of salary.
If the length of a rectangular prism is 6 meters , the breadth is 7 meters and the height is 9 meters , then determine the volume of the rectangular prism ( in cubic meters ) . Write the correct answer .
Answer:i don’t know
Step-by-step explanation:
please
Blake is cutting a piece of rope into fourths. if each piece is 16 inches long, what is the length of the entire rope?
Answer:
64inches.
Step-by-step explanation:
Let x represent the length of entire rope.
Division Equation:
\frac{x}{4} = 16
\frac{x}{4} X 4 =16x4 (Multiply each side by 4)
x=64
Therefore, length of entire rope is 64 inch.A family plans to have 3 children. For each birth assume that the probability of a boy is the same as a girl. What is the probability of having exactly one girl
Answer:
1/3
Step-by-step explanation:
WILL GIVE BRAINLIEST PLEASE HELP: In rectangle ABCD the diagonals intersect each other at point O and m ABD = 30 degrees. Find BC if AC = 16 in.
Answer:
8
Step-by-step explanation:
We know that ABD is 30 degrees. To find BC, we need to use sin.
Equation:
BC = 16*sin(30 degrees) I recommend using a calculator to find the sine if you don't know what it means and how to use it. Sine is basically the side length opposite of the angle over the hypotenuse of the right triangle.
BC = 16*0.5
BC = 8
Sorry, I couldn't find an image.
Hope this helps!
8. A bakery is collecting data to investigate how changing the price charged for a loaf of bread
affects the bakery's daily profit. The graph shows the data the bakery has collected.
Bread Price vs. Daily Profit
1000
800
600
.
Daily Profit (Dollars)
.
.
400
.
.
200
0
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00
Price for One Loaf of Bread (Dollars)
Which quadratic function is the BEST model for the data?
A
8(1-4) - 800
В.
86
4) - 800
С
20001 - 1) --- 800
D
3000
4)- 800
The function that best models for the data is y = -200 (x-4)^2 + 800.
What is a function?A function is a mathematical expression that describes how factors are related. In this case, how the price is related to the profit.
How to determine if a function models the data?The best way to determine this is to solve the expression and verify if the answer is correct.
For example, we know that at 4 (x) dollars, the daily profit is $800 (y). Let's now the different options:
A.
y= -8 (x+4)^2 + 800y= -8 (4+4)^2 + 800y= -8 (8)^2 + 800y= -8 (36) + 800y=-8 (288) + 800y= -2304 + 800y= -1504B.
y= -8 (x-4)^2 + 800y= -8 (4-4)^2 + 800y= -8 (0)^2 + 800y= -8 (0) + 800y= 0 + 800y= 800C.
y= -200 (4+4)^2+ 800y= -200 (8)^2 + 800y= -200 (36) + 800y= -200 (36) + 800y= -7200 + 800y= -6400D.
y= -200 (x-4)^2 + 800y= -200 (4-4)^2 + 800y= -200 (0)^2 + 800y= -200 (0) + 800y= 0 + 800y= 800This means B and D are possible options, however, when verified with other results such as $6 the correct one is option D.
Learn more about bakery in: https://brainly.com/question/16421624
The quadratic equation is given by y = -200x² + 1600x - 2400.
Quadratic equation formulaThe standard form of the quadratic equation is:
y = ax² + bx + c
Where a,b,c are constants.
Let y represent the daily profit for x bread price.
At point (2, 0):
0 = a(2)² + b(2) + c
4a + 2b + c = 0 (1)
At point (4, 800):
800 = a(4)² + b(4) + c
16a + 4b + c = 800 (2)
At point (6, 0):
0 = a(6)² + b(6) + c
36a + 6b + c = 0 (3)
From all the equations:
a = -200, b = 1600, c = -2400
The quadratic equation is given by y = -200x² + 1600x - 2400.
Find out more on quadratic equation at: https://brainly.com/question/1214333
O dreaptă (d) și punctele A,B și C în aceasta ordine stind ca AB=10cm; BC=14cm desemnați lungimea segmentului [AC]=? Vă rogg dau coroana!!!!la cine e corect
Answer:
Length of line AC = 24 cm
Step-by-step explanation:
Given:
Length of line AB = 10 cm
Length of line BC = 14 cm
Find:
Length of line AC
Computation:
We know that line AB and BC are two part of line AC
So,
AC = AB + BC
Length of line AC = Length of line AB + Length of line BC
Length of line AC = 10 + 14
Length of line AC = 24 cm
what is the difference between 724,435 and 226,710
Answer:
The difference is:497,725
Step-by-step explanation:
The scale on a map is 4 cm = 25 miles. Dave measures the distance to the next town at 9 cm. How many miles away is the next town? (Solve the proportion using cross multiplication)
[tex]\frac{4}{25} *\frac{9}{x}[/tex]
[tex]9*25=4x[/tex]
225=4x
x=225/4
PLS HELP WILL GIVE BRAINIEST Which triangle makes this statement true?