One medical procedure used today allows parents to select the gender of their future baby. The procedure has been found to be effective 75% of the time, meaning that 75% of the time parents get a baby of the preferred gender. Suppose this method is used by 5 couples at one particular clinic. For #6 and 7, write the numeric value and write in words what it represents
Answers
6. The probability that all 5 couples will have a baby of the preferred gender is 0.2373.
7. The probability that at least 4 of the 5 couples will have a baby of the preferred gender is 1 - 0.3672 = 0.6328.
What is probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to predict with absolute certainty.
6. What is the probability that all 5 couples will have a baby of the preferred gender?Answer: The probability that one couple will have a baby of the preferred gender is 0.75. Assuming the gender of each baby is independent of the others, the probability that all 5 couples will have a baby of the preferred gender is 0.75⁵ = 0.2373.
Numeric value: 0.2373
In words: The probability that all 5 couples will have a baby of the preferred gender is 0.2373.
7. What is the probability that at least 4 of the 5 couples will have a baby of the preferred gender?Answer: There are two ways to approach this problem. One way is to calculate the probability of each possible outcome (0 to 5 couples having a baby of the preferred gender) and then add up the probabilities for the outcomes where at least 4 couples have a baby of the preferred gender. Another way is to use the complement rule and subtract the probability that fewer than 4 couples have a baby of the preferred gender from 1.
Using the first method, we can calculate the probabilities as follows:
- 0 couples: 0.25⁵ = 0.0009766
- 1 couple: 5 x 0.75 x 0.25⁴ = 0.01465
- 2 couples: 10 x 0.75² x 0.25³ = 0.08789
- 3 couples: 10 x 0.75³ x 0.25² = 0.2637
- 4 couples: 5 x 0.75⁴ x 0.25 = 0.3955
- 5 couples: 0.75⁵ = 0.2373
The probabilities for the outcomes where at least 4 couples have a baby of the preferred gender are 0.3955 and 0.2373, so the total probability is 0.3955 + 0.2373 = 0.6328.
Using the second method, we can calculate the probability that fewer than 4 couples have a baby of the preferred gender as follows:
- 0 couples: 0.25⁵ = 0.0009766
- 1 couple: 5 x 0.75 x 0.25⁴ = 0.01465
- 2 couples: 10 x 0.75² x 0.25³ = 0.08789
- 3 couples: 10 x 0.75³ x 0.25² = 0.2637
The probability that fewer than 4 couples have a baby of the preferred gender is the sum of these probabilities: 0.0009766 + 0.01465 + 0.08789 + 0.2637 = 0.3672.
Therefore, the probability that at least 4 of the 5 couples will have a baby of the preferred gender is 1 - 0.3672 = 0.6328.
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Related Questions
Which type of variation is modeled in the table?
O inverse
O combined
O direct
O joint
Answers
Answer:
Direct
Step-by-step explanation:
\(\dfrac{x}{y} \ is \ constant.\)
\(\dfrac{20}{120}=\dfrac{1}{6}\\\\\\\dfrac{25}{150}=\dfrac{1}{6}\\\\\\\dfrac{40}{240}=\dfrac{1}{6}\)
So, this is direct variation
PLEASE HELP!!! Pleaseee!
Answers
Answer:
a
Step-by-step explanation:
last year there were b pies baked for the bake sale. This year there were 194 pies baked. Using b write an expression for the total number of pies baked in the two years
Answers
Answer:
b+194=pies
Step-by-step explanation:
take the number of pies baked this year then add the b and then you get p(pies)
4x=2y+6 can you answer
Answers
Answer:
x = 1/2y + 3/2
y = 2x - 3
Step-by-step explanation:
question is in image
Answers
To find the answer, we have to find the slope of the line.
\(m=\frac{y_2-y_1}{x_2-x_1}\)Let's replace the points (2,20) and (8,80), where
\(\begin{gathered} x_1=2 \\ x_2=8 \\ y_1=20 \\ y_2=80 \end{gathered}\)\(m=\frac{80-20}{8-2}=\frac{60}{6}=10\)This means that the tip earned increases at a rate of $10 per hour.
Hence, the correct answer is B.Jada drew triangle ABC. If angle B is a right angle, what are possible measures for the other two angles?
angle A:
Answers
The possible measures for the other two angles will be that the sum of that angle must be 90 degree.
A triangle is considered to be 3-sided polygon in some cases Each triangle has three sides and three angles, a few of which may be the same. The portion of the plane enclosed by the triangle is said the triangle interior, whereas the leftover portion is the exterior. Since we are given that one of the angles of the given is a right angle, according to one of the rules of the triangle the sum of all the interior angles of a triangle should be 180, for the triangle ABC,
=>A+B+C = 180
=>A+90+C= 180
=>A+C= 180-90
=>A+C=90
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Hello Guys I need help with...The highest common factor of 6x;,8xy
Answers
Answer:
2x
Step-by-step explanation:
Given
6x and 8xy
The highest common factor of 6 and 8 is 2
The highest common factor of x and xy is x
Then
The highest common factor of 6x and 8xy is 2x
An object is moving at a speed of 4 meters per month. Express this speed in inches
per hour. Round your answer to the nearest hundredth.
*Note: you must use these exact conversion factors to get this question right.
Distance / length
Time
1 foot (ft) = 12 inches (in)
1 minute (min) = 60 seconds (sec)
1 yard (yd) = 3 feet (ft)
1 hour (hr) = 60 minutes (min)
1 mile (mi) = 5280 feet (ft)
1 day (day) = 24 hours (hr)
1 meter (m) = 100 centimeters (cm)
1 week (week) = 7 days (days)
1 kilometer (km) = 1000 meters (m)
1 month (month) = 30 days (days)
1 inch (in) = 2.54 centimeters (cm)
1 year (year) = 365 days (days)
1 foot (ft) = 0.305 meters (m)
1 mile (mi) = 1.609 kilometers (km)
Answers
Answer:
0.22inches/hourStep-by-step explanation:
Given the speed of an object to be 4metres/month, we are to express the speed in inches/hour.
First we will need to convert 4meters to inches
From the conversion factors given,
1 foot (ft) = 0.305 meters (m)
x ft = 4metres
cross multiply
x * 0.305 = 4*1
x = 4/0.305
x = 13.115ft
4 metres = 13.115ft
Then we will convert 13.115ft to inches
From the conversion factors,
1 foot (ft) = 12 inches (in)
13.115ft = y
cross multiply
y = 13.115*12
y = 157.377 inches
Hence 4 metres = 157.77inches.
For 1 month to hour
First we need to convert month to days and from the conversion factor
1 month = 30 days
Next is to convert 30days to hours
Since 1 day = 24hours
30days = z
z = 30* 24
z = 720hours
Hence 1 month = 720hours
On converting 4metres/month to inches/hour
4metres/month = 157.77inches/720hours
4metres/month = 0.219inches/hour
Hence the speed of the object in inches per hour to the nearest hundredth is 0.22inches/hour
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Answers
Answer: Advertisement?
Do I need an explanation? : Y e s I d o
Pls help I’m stuck I need the answer soon
Answers
The graph C represents the function y = (1/2)ˣ
To graph the function y = (1/2)ˣ we can plot a few points and connect them with a smooth curve.
When x = 0, we have y = (1/2)⁰ = 1, so the point (0, 1) is on the graph.
When x = 1, we have y = (1/2)¹ = 1/2, so the point (1, 1/2) is on the graph.
When x = -1, we have y = (1/2)⁻¹ = 2, so the point (-1, 2) is on the graph.
We can also find other points by plugging in different values of x.
All the points are located in the graph C with a smooth curve
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Which graph most likely shows a system of equations with one solution?
The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answers
The graph that most likely shows a system of equations with one solution is the one that intersects at a single point, which is (4, 4) in this case.
The first two steps in the table show that we can set the two equations equal to each other and solve for x:
x² - 6x + 12 = 2x - 4
Simplifying and rearranging, we get:
x² - 8x + 16 = 0
Factoring, we get:
(x - 4)(x - 4) = 0
So the only solution is x = 4, and we can substitute this back into either equation to find y:
y = x² - 6x + 12
y = 4² - 6(4) + 12
y = 4
Therefore, the system of equations has one solution, (4, 4).
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Darryl mixed 4 cups of white paint with 6 cups of red paint but didn't have enough to finish painting his wall how much would he need to add to 1 cup of white paint to match the color
Answers
Answer:
Number of more red cup = 1.5 cups
Step-by-step explanation:
Given:
Number of white cup = 4
Number of red cup = 6
Number of more white cup = 1
Find:
Number of more red cup
Computation:
Number of more red cup = Number of more white cup x [Number of red cup / Number of white cup]
Number of more red cup = 1 [6/4]
Number of more red cup = 1.5 cups
What is the positive root of the equation x^2− 5x = 14?
Answers
The positive root of the quadratic equation x² - 5x = 14 is 7.
What is the positive root of the given equation?A quadratic equation in its standard form is expressed as;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given the equation in the question.
x² - 5x = 14
Rearrange in standard form
x² - 5x - 14 = 0
Plug the values of a, b and c into the quadratic formula and solve for x.
x = (-b±√(b² - 4ac)) / (2a)
x = ( -(-5) ±√( (-5)² - ( 4 × 1 × -14) )) / (2 × 1)
x = ( 5 ±√( 25 - ( -56 ) )) / 2
x = ( 5 ±√( 25 + 56 )) / 2
x = ( 5 ±√( 81 )) / 2
x = ( 5 ± 9 )/2
x = ( 5 - 9 )/2, x = ( 5 + 9 )/2
x = (-4)/2, x = (14)/2
x = -2, x = 7
Therefore, the solutions are x = -2 and x = 7.
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Write an equation to represent the following statement. The product of 7 and j is 91. Solve for j. j
Answers
Answer:
13
Step-by-step explanation:
7j=91
91/7=j
13
hope that helps:)
What are the two ways that we discussed in class that can be used to determine if two expressions are equivalent?
Answers
Use <,>, or =
1.9 ? 1.90
0.05 ? 0.2
3.88 ? 6.38
Answers
The comparision between decimal number are 1.9 = 1.90, 0.05 < 0.2, 3.88 < 6.38
How can we express numbers belonging to decimal numeral system?Suppose that the number is abcd.efg and belongs to the decimal numerical system.
Therefore, one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.
Move one-one places to left, and multiply (un-divide) by 10 and 10 more and more.
Here we can see that
1.9 = 1.90
0.05 < 0.2
3.88 < 6.38
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Please help I need this done NOW!
Answers
The volume of the different shapes have been calculated in the space below
How to find volumeVolume of rectangular prism = lwh
where we define the variables as :
l = length
w = width
h = height
then when we multiply, we will have
= 4 x 10 x 6
= 240
Volume of triangular pyramid = 1 / 3 b x h
where b = base
h = height
1 / 3 x 1.5 x 2
= 1
Volume of rectangular pyramid = lwh / 3
= 7.5 x 4.5 x 5 / 3
= 56.25
Volume of triangular prism= 1/2 x b x h x l
= 1/2 x 3 x 8.5 x 7
= 89.25
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At BBQ Shack they only sell ribs, the cost of a half rack x is $10 and the cost of a full rack y is
$20. The manager's goal for the day is to have at least 25 customers buy ribs, and to have
total sales be greater than $300. Write a system to represent this situation.
Answers
Answer:
300=10x+20y
Step-by-step explanation:
You are trying to get the sales to equal 300 so the 10x and 20y added together will get you 300
Reuben has bought 30 pounds of dog food. He feeds his dog 3/5 pounds for each meal. For how many meals will the food last?
Answers
Answer:
50
Step-by-step explanation:
3*50=150. 150/5=30 pounds
A dress that regularly costs $85 is on sale for $40. What is the percen
markdown?
Answers
Answer:
53%
Step-by-step explanation:
Use percent decrease formula.
= 85-40/85
= 45/85
≈ 0.53
= 0.53 * 100%
= 53%
Best of Luck!
(25pts) Which product is represented by these algebra tiles?
Answers
Answer:
(2x+1)(x+1)
Step-by-step explanation:
got it right on my quiz and also there is 2 reds= 2x on the bottom and 1 red=x and the yellow is the +1
The product represented by these algebra tiles is (2x+1) (x+1).
How to calculate the product represented by these algebra tiles?Suppose the blue tiles are x.
Suppose the red tiles are 1.
Therefore,
length = 2 blue tiles + 1 red tile
= 2x+1
Breadth = 1 blue tile + 1 red tile
= x+1
Therefore, product represented by these algebra tiles is (2x+1) (x+1).
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Dan is stocking up on AA and AAA batteries. He bought 10 packages of batteries for a total of 72 batteries. The AA batteries are sold in packages of 6, and the AAA batteries are sold in packages of 8. Write, but do not solve, a system of equations that can be used to find how many packages of each type of battery Dan bought.
Answers
Answer:
x + y = 10
6x + 8y = 72
Step-by-step explanation:
Number of packages = 10
Total batteries = 72
For AA:
batteries per package = 6
Let number of packages = x
For AAA:
batteries per package = 8
Let number of packages = y
Number of AA packages + number of AAA packages = 10
Sum of AA + sum of AAA equals 72 batteries
x + y = 10
6x + 8y = 72
Answer:Answer:
x + y = 10
6x + 8y = 72
Step-by-step explanation:
Number of packages = 10
Total batteries = 72
For AA:
batteries per package = 6
Let number of packages = x
For AAA:
batteries per package = 8
Let number of packages = y
Number of AA packages + number of AAA packages = 10
Sum of AA + sum of AAA equals 72 batteries
x + y = 10
6x + 8y = 72
Step-by-step explanation:
Tyler evaluates the expression -621,044-(-214,318) and gets an answer of -400,080.
is this a reasonable answer?
Answers
Answer:
No
Step-by-step explanation:
The correct answer is -406,726
A negative minus a negative is the same as a negative plus a positive
-621,044 + 214,318 = -406,726
Data were collected on the distance a baseball will travel when hit by a baseball bat at a certain speed. the speed, s, is measured in miles per hour, and distance, y, is measured in yards. the line of fit is given by Å· = 3.98 53.59s. if the ball travels for a duration of 5 seconds, what is the predicted distance of the ball? 267.95 feet 271.93 feet 283.87 feet 287.85 feet
Answers
By evaluating the linear equation in t = 5 seconds, we will see that the distance traveled is 271.93 feet.
What is the predicted distance of the ball?
Here we know that the line that defines the distance traveled by the ball (y) as a function of time (t) is:
y = 3.98 + 53.59*t
Now we want to predict the distance traveled y the ball if it travels for 5 seconds, so we just need to evaluate the above linear equation in t = 5.
So we will get:
y = 3.98 + 53.59*5 = 271.93
So we conclude that the distance traveled in that time is 271.93 feet.
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Answer: 271.93 feet
Step-by-step explanation:
I took the test
En una reunión, se observa que el total de va-
rones es a la cantidad de mujeres que no bai-
lan como 7 es a 3 y por cada 2 mujeres que
bailan, un varón no baila. ¿En qué relación se
encuentran el total de mujeres y los varones
que no bailan?
O 3 a 7
O 5 a 2
O 23 a 7
O 4 a 17
O 7 a 3
Answers
The total number of women is in the ratio of 7: 3 of the total number of males who do not dance.
Hence, the answer is O 7 a 3.
Given that in a meeting the total number of males is to the number of females who do not dance as 7 is to 3 and for every 2 females who dance, a male does not dance.
We have to determine the relationship between the total number of women and the males who do not dance.
Solution: Let the number of males be 7x, and the number of women who do not dance be 3x.
Now, the total number of people present at the meeting is:
7x + 3x + 2n
where n is the number of women who dance.
The total number of males who do not dance is 2n / 1.
2n = 2n / 2
Therefore, the total number of males is:
7x + 2n / 2
This is equal to the total number of women:
3x + n
Dividing the two, we get:
(7x + 2n / 2) / (3x + n)= (14x + 4n) / (6x + 2n)
= 7x + 2n / 3x + n
Multiply both sides by (3x + n), we get:
7x (3x + n) + 2n
= 21x² + 7xn + 2n
= 7n (3x + 1)
Therefore, the total number of women is in the ratio of 7: 3 of the total number of males who do not dance. Hence, the answer is O 7 a 3.
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when isa travels to the usa for a holiday he leaves the uk at 1.00 pm local time and lands at 5.00 pm local time. on the return journey he leaves at 8.00 pm local time and lands at 10.00 am local time the next day. find the length of the flight in hours and the time difference between the uk and the part of the usa that isa visited
Answers
Isa took 4 hour when isa go from UK to USA and took 14 hour when she returns and time difference will be 10 hours
What is a definition distance?
the extent or amount of space between two things, points, lines, etc. the state or fact of being apart in space, as of one thing from another; remoteness
when isa travels to the usa for a holiday he leaves the uk at 1.00 pm local time and lands at 5.00 pm local time.
so isa took 4 hour
on the return journey he leaves at 8.00 pm local time and lands at 10.00 am local time the next day
isa tool 14 hour
find the length of the flight in hours and the time difference between the uk and the part of the usa that isa visited
length of flight is 18 hour
time difference will be 14-4 = 10 hour
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A toy has various shaped objects that a child can push through matching holes. The area of the square hole is square centimeters. The volume of a cube-shaped block is cubic centimeters. a. Which edge length can be found? Explain. b. Will the block fit in the square hole? Explain.
Answers
Answer:
a. We can find edge length of the cube-shaped bock. b. No, it will not
Step-by-step explanation:
Here is the complete question
A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 18 square centimeters. The volume of a cube-shaped block is 729 cubic centimeters. a. Which edge length can be found? Explain. b. Will the block fit in the square hole? Explain.
Solution
a.
Since the volume of the cube 729 cm³ is a perfect cube of 9 cm and the area of the square hole which is 18 cm² is not a perfect square, the edge length of the cube-shaped block is easily found.
b. Since the edge length of the block is 9 cm, the area of one of its faces is (9 cm)² = 81 cm² which is greater than the area of the square hole which is 18 cm². Since their dimensions are not the same, the cube-shaped block will not fit into the square hole.
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NO FAKE ANSWERS!!!!
Answers
Answer:
its a | an ||
Step-by-step explanation:
28/ 7 = 4 28 1/7 = 28/7 then u will have to divide 7 28 = 4 28 7/1 = cant get even number
A baker displays 144 cookies on 9 identical platters. How many platters does the baker need to display 64 cookies? Enter your answer in the box.
Answers
Answer:
4 platters
Step-by-step explanation:
Step-by-step explanation: The guy above was right. Step one: 144 cookies divided by 9 to get 16 cookies per platter. Then you do 64 cookies divided by 16 cookies per platter to get 4 platters for 64 cookies. Good job other guy.
What is 65 kg in pounds and stones?
Answers
65 kilograms is equal to 10 stones and 3.0903 pounds
Unit conversion is the process of converting a quantity from one unit of measurement to another
1 kilogram is equal to 2.20462 pounds.
To convert 65 kilograms to pounds, we multiply 65 by 2.20462:
65 kg * 2.20462 lb/kg = 143.0903 lb
1 stone is equal to 14 pounds.
To convert 143.0903 pounds to stones, we divide by 14:
143.0903 lb / 14 lb/stone = 10.22794 stones
So, the unit conversion of 65 kilograms is equal to 10 stones and 3.0903 pounds.
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