The most common form of color blindness is an inability to distinguish red from green. However, this particular form of color blindness is much more common in men than in women (this is because the genes corresponding to the red and green receptors are located on the X-chromosome). Approximately 79% of American men and 0.4% of American women are red-green color-blind.1 Let CBM and CBW denote the events that a man or a woman is color-blind, respectively.(a) If an Americal male is selected at random, what is the probability that he is red-green color-blind? P(CBM) =(b) If an American female is selected at random, what is the probability that she is NOT red-green color-blind? P (not CBW) =(c) If one man and one woman are selected at random, what is the probability that neither are red-green color-blind? P=(neither is color-blind) =(d) If one man and one woman are selected at random, what is the probability that at least one of them is red-green color-blind? P=(at least one is color-blind)
Answers
Answer:
(a) The correct answer is P (CBM) = 0.79.
(b) The probability of selecting an American female who is not red-green color-blind is 0.996.
(c) The probability that neither are red-green color-blind is 0.9263.
(d) The probability that at least one of them is red-green color-blind is 0.0737.
Step-by-step explanation:
The variables CBM and CBW are denoted as the events that an American man or an American woman is colorblind, respectively.
It is provided that 79% of men and 0.4% of women are colorblind, i.e.
P (CBM) = 0.79
P (CBW) = 0.004
(a)
The probability of selecting an American male who is red-green color-blind is, 0.79.
Thus, the correct answer is P (CBM) = 0.79.
(b)
The probability of the complement of an event is the probability of that event not happening.
Then,
P(not CBW) = 1 - P(CBW)
= 1 - 0.004
= 0.996.
Thus, the probability of selecting an American female who is not red-green color-blind is 0.996.
(c)
The probability the woman is not colorblind is 0.996.
The probability that the man is not color- blind is,
P(not CBM) = 1 - P(CBM)
= 1 - 0.004
= 0.93.
The man and woman are selected independently.
Compute the probability that neither are red-green color-blind as follows:
\(P(\text{Neither is Colorblind}) = P(\text{not CBM}) \times P(\text{not CBW})\\ = 0.93 \times 0.996 \\= 0.92628\\\approx 0.9263\)
Thus, the probability that neither are red-green color-blind is 0.9263.
(d)
It is provided that a one man and one woman are selected at random.
The event that “At least one is colorblind” is the complement of part (d) that “Neither is Colorblind.”
Compute the probability that at least one of them is red-green color-blind as follows:
\(P (\text{At least one is Colorblind}) = 1 - P (\text{Neither is Colorblind})\\ = 1 - 0.9263 \\= 0.0737\)
Thus, the probability that at least one of them is red-green color-blind is 0.0737.
Related Questions
How many sides do 2 octagons, 4 pentagons, and 5 triangles have in all?
Answers
Answer: 51
Step-by-step explanation:
2 octagons have 16 sides because an octagon has eight sides. So, 8x2=16.
4 pentagons have 20 sides because a pentagon has 5 sides. So, 4x5=20.
5 triangles have 15 sides because a triangle has 3 sides. So, 5x3=15.
In all, 16+20+15= 51
(x-1)/(x-1)=1, what is the answer and explenation
Answers
Anything you plug in for x makes the identity still one.
Can you help me with this question
Answers
The component form of vector is (-6,8)
What is vector ?Geometrical objects with magnitude and direction are called vectors. A line with an arrow pointing in its direction can be used to represent a vector, and the length of the line corresponds to the vector's magnitude. As a result, vectors are depicted as arrows and have starting and ending points. It took 200 years for the idea of vectors to develop. Physical quantities like displacement, velocity, acceleration, etc. are represented by vectors.Additionally, the development of the field of electromagnetic induction in the late 19th century marked the beginning of the usage of vectors. Here, we'll examine the definition of vectors as well as their characteristics, mathematical formulas, and uses.
The component form of vector is (-6,8)
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Find the value of x.
Answers
Answer:
x = 10
Step-by-step explanation:
You want the value of x in triangle RST with angle bisector UT dividing RS into parts RU=3x and US=x+2, while RT=40 and ST=16.
Angle bisectorThe angle bisector divides the sides of the triangle proportionally;
3x/40 = (x +2)/16
6x = 5x +10 . . . . . . . multiply by 80
x = 10 . . . . . . . . . subtract 5x
The value of x is 10.
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A field is a rectangle with a perimeter of 960 feet. The length is 100 feet more than the width. Find the width and length of the rectangular field.
Answers
Since the perimeter of a figure is the sum of all the measurements of the side which can be represented by (x+100)+(x+100)+x+x and since you know your perimeter is 960 feet, you can set the expression equal to 960. This would look like this:
(x+100)+(x+100)+x+x=960
Once you have done that, combine any like terms (combine terms with the same variables and raised to the same power together) which would simplify to this:
4x+200=960
Now that you have your like terms simplified, subtract 200 from both sides to get 4x=760 and finally, to solve for x, or find the width, divide both sides by 4 to get x=190.
Now that you have your width, now you must find your length as the question asks to find the dimensions of the rectangular field. To find the length, add 100 to the width of (190) since according to the information given, the length is 100 more than the width. When you add 100 to 190, you should get that your length is 290.
Now that you have your length and width, you can conclude that the dimensions of the field is 190 by 290 feet, which is your answer :)
Will give brainliest for correct answer
Answers
Answer:
given a triangle with sides A, B and C the sum of the lengths of any two sides of a triangle must be greater than the third side:
1. A+B>C
2. B+C>A
3. A+C>B
Thus given two sides of A=9 and B=12 C can be:
12−9<C<12+9
C range 5<C<11
Hope this helps you!
There are 18 finalists in a singing competition. The top four singers receive prizes. How many ways can the singers finish first through fourth?
Answers
There are 73,440 ways can the singers finish first through fourth.
What is permutation?A way, especially one of several possible variations, in which a set or number of things can be ordered or arranged.
Given that, There are 18 finalists in a singing competition. The top four singers receive prizes.
In this case, the order is required, so we'll use permutation here. You need to pick 4 out of 18.
\(^{n} P_{r}\) = n!/(n-r)!
n = 18 and r = 4
18P4 = 18!/(18-4)!
= 18!/14!
= 73,440
Hence, there are 73,440 ways possible.
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Question 3
A group of 5 people went to the movies and spent $44 on food and drink. The total amount spent, including
tickets, was $98.50.
What was the price, in dollars, of one ticket?
Answers
Answer:
One ticket cost $10.90.
Step-by-step explanation:
The total spent was $98.50--food, drinks, admission--everything.
$44.00 was for food and drinks.
We can take the 44 away from the total.
98.50 - 44.00
= 54.50
They spent 54.50 on 5 tickets to get in. Divide to find the cost of one tickets. This assumes that all 5 tickets were the same price.
54.50 ÷ 5 = 10.90
The price of one ticket was $10.90
To make this look like algebra class...
let x = the price of one ticket
5x = the price of 5 tickets
5x + 44 = 98.50
subtract 44
5x = 54.50
divide by 5
x = 10.90
What factoring method would be the BEST choice
4x² - 121
Answers
( 2x + 11 ) ( 2x - 11 ) is factor of linear equation .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
A linear equation with one variable is one that contains just one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value.
= 4x² - 121
= (2x)² - ( 11 )²
= ( 2x + 11 ) ( 2x - 11 )
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1. Locate and label the following numbers on the number line:
를
1and3/4
1.5
1.75
1/4
1/2
Answers
Answer:
1/4 is your answer
Step-by-step explanation:
#11: Write the equation below in standard form.
*
y - 2 = -4(x - 1)
Answers
Answer:
y - 2 = -4x + 4
Step-by-step explanation:
Just simplify is out ^-^
4 x + y = 6 Should do the trick
- 3X + 6Y = 0 and x+7y=9
Answers
Y = 1
-3(2) + 6(1) = 0
(2) + 7(1) = 9
QUESTION 7 of 10: You begin the week with 30 units of orange juice. You purchase 50 units. Your ending inventory for the week is 30 un
How many units did you sell?
ОООО
a) 5
b) 15
c) 49
O d) 50
Answers
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of units sold.
= Total units - Units at the end
The number of units sold is 50 units.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of units of orange juice at beginning = 30 units
The number of units purchased = 50 units
Total units = 30 + 50 = 80 units
The number of units at the end = 30 units.
The number of units sold.
= Total units - Units at the end
= 80 - 30
= 50 units.
Thus,
The number of units sold is 50 units.
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Give the angle measure in degrees for angle x enter the value only without any label for degrees or any spaces
Sin
Answers
The angle measure of x is calculated to be approximately: 25.8°.
How to Find Angle Measure in Degrees?The diagram given shows the angle labelled x is an interior angle of the right triangle having two given sides. If x is the reference angle, we have:
Hypotenuse length = 30
Adjacent length = 27
To find the angle measure of x, we would apply the cosine ratio which is:
cos ∅ = adj/hyp
Substitute:
cos x = 27/30
x = cos^(-1)(27/30)
x ≈ 25.8°
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What is the slope of a line parallel to the line whose equation is x+2y=10
Answers
Answer:
-1/2
Step-by-step explanation:
It’s the answer
DOES ANYONE KNOW HOW TO FIGURE THESE QUESTIONS OUT??
(Geometry) There are 3 questions!
Answers
1.
These are Corresponding Angles, and thus by the Corresponding Angles Theorem, they are congruent.
\(4x-9=3x+29\\4x-9+9=3x+29+9\\4x=3x+38\\4x-3x=3x-3x+38\\x=38\)
2.
These are Same-Side Interior Angles and thus by the Same-Side Interior Angles Theorem they add up to 180°.
\(2x-26+7x+9=180\\9x-17=180\\9x-17+17=180+17\\9x=197\\9x/9=197/9\\x=21.9\)
3.
These are Alternate Exterior Angles and thus by the Alternate Exterior Angles Theorem they are congruent.
\(3x-2=2x+30\\3x-2+2=2x+30+2\\3x=2x+32\\3x-2x=2x-2x+32\\x=32\)
Will give brainliest
Answers
Answer: Believe you can and you're halfway there
Have a great day!
I don’t have the answer but I’m just spreading positivity.
The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate coating divided by the metal loss (both in mg/ft2). An article gave the accompanying data on tank temperature (x) and efficiency ratio (y).
Temp 170 172 173 174 174 175 176 177 Ratio 0.76 1.27 1.48 0.99 0.99 1.02 1.12 1.70 Temp. 180 180 180 180 180 181 181 182 Ratio 1.43 1.50 1.57 2.15 2.11 0.88 1.33 0.84 Temp. 182 182 182 184 184 185 186 188 Ratio 1.73 2.04 2.70 1.59 2.62 3.10 1.89 3.18 (a) Determine the equation of the estimated regression line. (Round all numerical values to five decimal places.) y = . 1017x-16.592 レ 19174x (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 182. (Round your answer to four decimal places.) 1.9174 (c) Calculate the values of the residuals from the least squares line for the four observations for which temperature is 182. (Round your answers to four decimal places.) (182, 0.84) 1581 (182, 1.73) (182, 2.04) (182, 2.70)
Answers
The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate.
a) The equation of the estimated regression line is ŷ = - 16.592 + 0.1017x.
b) A point estimate is 1.9174 for true average efficiency ratio when tank temperature is 182.
c) The values of the residuals from the least squares line for the four observations for which temperature is 182 are -1.0774, -0.1874, 0.1226, 0.7826..
We have given the accompanying data on tank temperature (x) and efficiency ratio (y).
a) We have to find out the equation of the estimated regression line. Consider the calculations shown in the above table:
ΣΧ= 4308 ; ΣΥ= 39.99 ; ΣΧΥ = 7229.47 ;
ΣX² = 773790
Determine the slope and intercepts using the following formulas,
Slope b₁ = (n ΣΧΥ - ΣX ΣΥ)/(nΣΧ² - (ΣX)²)
=> b₁ = [24 (7229.47) - (4308) (39.99)]/(24(773790)-(4308)²)
=> b₁ = 1230.36/12096 = 0.10171626984
=> b₁ ≈ 0.1017
Intercept, b₀ = ΣY /n - b₁ΣΧ /n
=> b₀ = 39.99/24 - 0.1017×4308/24
= -16.592
Thus, the estimated regression equation of the form, ŷ = b₀ + b₁ x
ŷ = - 16.592 + 0.1017x
b) Calculate the point estimate for true average efficiency ratio when tank temperature is 182.
y = -16.592 + 0.1017x
=> y= -16.592 +0.1017 (182)
=> y= 1.9174
Therefore, the point estimate for true average efficiency ratio when tank temperature is 182 is 1.9174..
c)We have to find out the values of the residuals from the least squares line for the four observations for which temperature is 182.
From part (b), the value of ŷ is 1.9174.
The table below shows the residuals.
Vi ŷ e = y₁ - y
0.84 1.9174 -1.0774
1.73 1.9174 -0.1874
2.04 1.9174 0.1226
2.70 1.9174. 0.7826
Hence, we got all the required values.
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Write 36 as a product of its prime factors.Write the factors in order,from smallest to largest.
Pls Help me!!!!
Answers
Answer:
2×2×3×3
Step-by-step explanation:
Answer:
2×2×3×3
Step-by-step explanation:
36=3×12
12=3×4
4=2×2
=3×3×2×2
Hope this helps! <3
1 box = $ 0.054, how many boxes will the guy get if he pay $50?
Answers
Answer:
He would get 30 boxes I think
Step-by-step explanation: I did the math, I hope its correct
HELP ASAP!!!!
Henry is looking at two brands of washing machines. Between water and electricity, a Brand C washer uses about $0.58 per load, and a Brand D washer uses about $0.44 per load. Henry averages about ten loads of laundry per month. After one year, how much more would the utility costs for a Brand C washer be than the utility costs for a Brand D washer?
a.
$16.80
b.
$20.16
c.
$7.60
d.
$19.00
Please select the best answer from the choices provided
Answers
The mileage costs for Brand C washer be than the mileage costs for Brand D washer is $16.80, option ( a) is correct.
What's periodic diffrence ?
Periodic difference refers to the difference in a particular volume ( similar as cost or income) between two different options over the course of a time. It's calculated by multiplying the yearly or per- unit difference by 12 ( the number of months in a time). The periodic difference is a useful metric for comparing the long- term costs or benefits of different options over a time.
The difference in cost per cargo between Brand C and Brand D is$0.58-$0.44 = $0.14.
Multiplying this by the number of loads per month gives
0.14/ cargo x 10 loads/ month = $1.40/ month.
The periodic difference in cost would be
1.40/ month x 12 months/ time = $16.80/ time.
thus, the answer is ( a) $16.80.
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ABCDEF is a regular hexagon and ABQP is a square. Angle CBQ = x. Work out the value of x.
Answers
The measure of angle CBQ as required in the task content can be determined as; 150°.
What is the measure of angle CBQ?It follows from the task content that the measure of angle CBQ is to be determined.
Since, ABCDEF is a regular hexagon and ABQP is a square, it follows from diagrammatic representation that the angle CBQ is the sum of the exterior angle of the polygon at point B and the right angle.
On this note, the measure of angle CBQ as required is; = 90° + 60° = 150°.
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What common fraction is halfway between 1/8 and 1/10 on a number line?
Answers
Answer: 9/80
Step-by-step explanation:
1/8 = 10/80
1/10 = 8/80
9/80 is fraction between 1/8 and 1/10
Have A Good Day :)
Lea invests $8,333 in a savings account
with a fixed annual interest rate of 8%
compounded monthly. What will
the account balance be after 12 years?
Answers
Answer:
The balance of Lea's account after 12 years of investment will be $ 21,694.04.
Step-by-step explanation:
To calculate the compound interest generated by Lea's account, which has an annual interest of 8% compounded monthly, and whose investment will last for a period of 12 years, the following calculation must be performed:
X = 8,333 x (1 + 0.08 / 12) ^ 8x12
X = 21,694.04
Thus, the balance of Lea's account after 12 years of investment will be $ 21,694.04.
if the expression 4x + 2(x - 4) is equivalent to x +2 then what is the value of x?
Answers
Answer:
x=2
Step-by-step explanation:
4x + 2(x - 4) is equivalent to x +2
first, distribute. 4x+2x-8
next, combine like terms. 6x-8
6x-8 = x+2
we need to group all the variable terms on one side, and all the constant terms on the other side of the equation. (6x-8)+(8-x)=(x+2)+(8-x)
get rid of the parenthesis. 6x-8+8-x=x+2+8-x
combine like terms. 6x-x-8+8=x-x+2+8
solve. 5x=10
divide both by 5. 5x/5=10/5
x=2
For 6 consecutive days, Alejandro studied for 5 minutes more each day than he did the previous day. Which best represents the change in the amount of time that Alejandro studied on the first day to the amount of time he studied on the last day? –30 minutes –11 minutes 11 minutes 30 minutes
Answers
Answer:
it is on ed it is 30
Step-by-step explanation:
Answer:
30 minutes
Step-by-step explanation:
Question 8 (1 point)
A cone has a radius of 4 feet on its base. The approximate volume of the cone is 189 ft^3. Determine the height of the cone to the nearest tenth of a foot. Use 3.14 for π.
a
h = 8.2 ft
b
h = 2.5 ft
c
h = 22.6 ft
d
h = 11.3 ft
Answers
Answer:
d. h = 11.3 ft
Step-by-step explanation:
volume of cone = \(\frac{1}{3}\)r²\(\pi\)h
r = 4 feet
Put in your values:
\(\frac{1}{3}\)(4)²(3.14)h = 189 ft³
16(3.14)h = 567
50.24h = 567
h = \(\frac{567}{50.27}\) = 11.3
The height of the cone is h = 11.3 feet
What is a Cone?In geometry, a cone is a three-dimensional shape formed by joining a set of line segments from a common point called apex to all the points of the base which is a circle.
Height of the cone is distance from apex to the center of the circular base.
Volume of a cone is defined as the total capacity of the cone and the formula for the same is given by,
V = \(\frac{1\\}{3}\)πr²h
Here, V = 189 ft³, r = 4 ft, π = 3.14
Substituting these values in formula for the volume,
189 = \(\frac{1}{3}\) × 3.14 × 4² × h
189 = \(\frac{50.24}{3}\)h
h = 189 × 3 / 50.24
h = 11.285 ≈ 11.3
Hence the height of the cone with radius 4 ft and volume 189 ft³ to the nearest tenth of a foot is 11.3 ft.
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A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?
A. 30-35
B. 65-70
C. 130-135
D. 265-270
Answers
Answer:
Step-by-step explanation:
B?
A water cooler has a storage capacity of 50 litres . If each student on an average consumes 750ml of water. Then how many times cooler tank has to be filled to quench the thirst of 1200 student of school
Answers
The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.
We have
Number of students= 1200
Water consumption per student= 750 ml
So, Total water consumption
= Number of students × Water consumption per student
= 1200 × 750 ml
= 900000 ml
= 900 Liter
Now, the time cooler tank has to be filled to quench the thirst
= 900 / 50
= 18 times
Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.
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One year ago, you allocated the funds in your portfolio among four securities in the proportions
listed below. The rate of return on each security for the year is given in the third column of the table.
Security
Canadian
Equity
Provincial
Bonds
Asian Equity
Ethical Funds
Proportion Rate of return for the
invested (%)
year (%)
25
10
35
30
12
7
22
-12
Calculate the rate of return for the entire portfolio.
Answers
The rate of return for the entire portfolio, given the amount allocated to each of the four securities is
How to find the rate of return ?The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.
The rate of return for the portfolio is therefore :
= ∑ ( proportion invested x rate of return )
= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x - 12 % )
= 7. 8 %
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