Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is
designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5.
Assume that the groups consist of 16 couples. Complete parts (a) through (c) below.
a. Find the mean and the standard deviation for the numbers of girls in groups of 16 births.
The value of the mean is u =
(Type an integer or a decimal. Do not round.)
Answers
Answer:
The found values are:
μ = 8
σ = 2
Step-by-step explanation:
Following data is given in the question:
p = 0.5
n = 16
Consider that it follows binomial distribution:
For binomial distribution, the mean is the product or probability 'p' and and the sample size 'n' :
μ = p · n
μ = 0.5 · 16
μ = 8
For binomial distribution, the standard deviation is the square root of product of sample size 'n' and the probabilities 'p' and 'q'.
σ = √(n·p·q)
where q = 1 - p = 1 - 0.5 = 0.5
σ = √(16 · 0.5 · 0.5)
σ = √4
σ = 2
Related Questions
i require assistance on this mathematics homework. I would gladly appreciate any sort of help. n o b o t s
Answers
Answer:
10 and under
Step-by-step explanation:
to find x you first find the area of the school gym. (90*55) which would give you 4950. You take that from 5,500 and you end up with 550. now to get the right answer you divide by 55. and to prove this is correct ad 10 and 90. then multiply by 55. and you get the maximum length of 5500and since you already know the max you can use anything under it.
How on earth do I do this?
Answers
Answer:
It is π / 3
But if it is not a fraction it is: 25
And in 180º degrees.
Step-by-step explanation:
1.- 8 + 8 = 16 - 13 = π / 3
2.- Since 8 x 3 = 24 plus the radius that is 1 = 25
ASAP PLEASE!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
141 in²
Obviously don't write 141 in² because they've already wrote the in² part for you
Plz help pleaseee
Someone plz
Answers
Answer: x = 80
Step-by-step explanation:
Answer:
i thnk it 80
Step-by-step explanation:
You have $2 and earn $0.50 for each cup of orange juice you sell. Write an equation that represents the total amount A (in dollars) you have after selling j cups of orange juice.
Answers
Answer:
2A+j=3
Step-by-step explanation:
Answer:
A=2+(j x $0.50)
Step-by-step explanation:
Three cards, one labeled "A," one labeled "T," and one labeled "C," are picked in random order. Based on the tree diagram, which is a valid conclusion. Select all that apply. There are three correct answers
The probability of the letters spelling CAT is 1/6.
The probability that A will be the first letter chosen is 1/15
15 cards must be drawn to determine the probability of spelling CAT
The sample space consists of 6 outcomes.
The probability that T will be the first letter chosen is 1/3.
Answers
Pls help me it’s due tomorrow
Answers
Here is an example of how to draw an isosceles trapezoid:
_______
/ \
/_________\
In this trapezoid, the two parallel sides (the top and bottom sides) are of equal length, and the two non-parallel sides (the left and right sides) are also of equal length. The angles between the top and left sides and between the top and right sides are equal, as are the angles between the bottom and left sides and between the bottom and right sides.
What is an isosceles trapezoid?An isosceles trapezoid is a type of trapezoid where the two non-parallel sides of the trapezoid are of equal length. This means that the trapezoid has a line of symmetry through its mid-point, which divides the trapezoid into two congruent triangles. The two parallel sides of an isosceles trapezoid are also referred to as bases, and the height of the trapezoid is the perpendicular distance between the two bases.
Because an isosceles trapezoid has two congruent triangles, the angles opposite these sides are also congruent. Therefore, an isosceles trapezoid has two pairs of congruent angles, with each pair containing one acute angle and one obtuse angle. The acute angles are located adjacent to the parallel sides, while the obtuse angles are located adjacent to the non-parallel sides.
Isosceles trapezoids have several interesting properties, including that the diagonals of an isosceles trapezoid are congruent, and that the diagonals bisect each other. Additionally, the length of each diagonal can be found using the Pythagorean theorem, and the area of an isosceles trapezoid can be determined using the formula:
Area = ((a + b) / 2) * h
Where "a" and "b" are the lengths of the two parallel sides (bases) and "h" is the height of the trapezoid.
PART B:
An isosceles trapezoid is a quadrilateral with two parallel sides (the bases) and two non-parallel sides of equal length. A parallelogram is also a quadrilateral with two pairs of parallel sides.
An isosceles trapezoid can be thought of as a special case of a parallelogram where one pair of opposite sides is shorter than the other pair. In fact, if you extend the non-parallel sides of an isosceles trapezoid until they intersect, you will get a parallelogram with the same base and height as the original trapezoid.
Conversely, if you take a parallelogram and draw a line segment parallel to one pair of opposite sides, you will get an isosceles trapezoid. This means that every isosceles trapezoid can be thought of as a parallelogram with a missing piece, and every parallelogram can be thought of as an isosceles trapezoid with extra pieces added on.
So, in summary, isosceles trapezoids and parallelograms are related in that isosceles trapezoids can be thought of as special cases of parallelograms, and parallelograms can be thought of as isosceles trapezoids with extra pieces added on.
PART C:
No, we cannot use the term "isosceles" to describe a rectangle because a rectangle, by definition, has four right angles and opposite sides that are parallel and congruent to each other. An isosceles trapezoid, on the other hand, has only one pair of parallel sides and two non-parallel sides that are congruent to each other.
The term "isosceles" is typically used to describe triangles or trapezoids where two sides are congruent to each other. In an isosceles triangle, two sides are equal in length, while in an isosceles trapezoid, two non-parallel sides are equal in length. However, in a rectangle, all four sides are equal in length, not just two.
Therefore, while we can describe a rectangle as having all sides congruent to each other, we cannot describe it as an isosceles rectangle because "isosceles" implies only two sides are congruent, which is not the case for a rectangle.
Learn more about Isosceles triangles/shapes:
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PartC, No, a triangle can because the “legs” are the same size and aren’t parallel.
PartA
what the reciprocal of 5/6 fraction
Answers
Answer:
6/5
Step-by-step explanation:
Can y’all help with this I don’t understand it
Answers
Answer:
The answer is $990. Because 0.36 times 2750=990
Step-by-step explanation:
can i have brainliest?
someone give me step by step?
(24) points given! (this is 7th-grade math, ixl)
Answers
Explanation: The problem wants you to understand how to interpret tables. The question is asking how much a silver bracelet costs. If you to the bracelets column and find the style, (silver) you will see that a silver bracelet costs $91.
what is (4)^-2? Please help I don't understand the topic and I need all the help I can get!
Answers
i typed it into my calculator and this is what i got!!
does this help at all love?
please help me where it goes
Answers
PLEASE HELP 100 POINTS
Answers
Answer:
its the 3rd one
Step-by-step explanation:
hope this helps
The second option, x + y.
Explanation: the value of x is -5/6. The value of y is 4/3. When you add them together, you will result in a positive value:
Since -5/6 and 4/3 don’t share the same denominator, you have to make them the same by finding the “common denominator.” In this question, the common denominator is 6 because 6 and 3 can both be multiplied by a value to get 6 (6 x 1 = 6 and 3 x 2 = 6)
Now, you have to make both of the denominators 6. -5/6 already has a denominator of 6, so it doesn’t change. 3 has to be multiplied by 2 to get 6. But remember, whatever you do to the top, you have to do to the bottom. So 4/3 will be changed into 8/6.
Now you can just add. Remember that the denominator doesn’t change, so just keep it 6. Don’t do 6 + 6.
-5 + 8 = 3
x + y = 3/6, or 1/2. Which is a positive value. Therefore, the answer is the second option, x + y.
20 pts:
Here are points A-E.
a. Which point is the image of B using A as the center of dilation and with a scale factor of 2? Select Choice:
b. Which point is the image of A using B as the center of dilation and with a scale factor of 2? Select Choice:
c. Which point is the image of B using A as the center of dilation and with a scale factor of 1/2? Select Choice:
d. Which point is the image of A using B as the center of dilation and with a scale factor of 1/2? Select Choice:
Answers
Answer:
a's answer = E
b's answer = C
c 's answer= D
d 's answer= A
a 20-foot flagpole casts a 6-foot Shadow how tall is a nearby building that casts a 30-foot shadow
Answers
Hey There!!
The answer to this is: The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is 5x. Then all you have to do is 20x5 and you get 100 ft.
Hope It Helps!~
Please help me the answers with an x next to them are wrong, and it’s not the other way around please help!!
Answers
Answer:
its sayin the rectangle answer plus on so
the rec is 3 and the other one is 4
Step-by-step explanation:
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
Triangle DEF is a scaled copy of triangle ABC. Which segment in the scaled copy corresponds to segment AB?
I NEED HELP ASAP!
Answers
DE (6) is 1.5x larger than AB (4). This is the segment which corresponds to segment AB.
Answer: DE
A cylindrical cake is made in a pan that has a diameter of 10
inches and a height of 2 inches. What is the total surface
area of the icing on the cake?
Answers
141.37 square inches
Answer:
about 141.4 square inches
Step-by-step explanation:
You want the area of icing on a cake that is 10 inches in diameter and 2 inches high.
IcingThe icing on a cake covers the lateral surface area and the area of the circular top. In terms of diameter, the sum of those areas is ...
icing area = πdh +(π/4)d² = πd(h +d/4)
icing area = π(10 in)(2 in + (10 in)/4) = π(10 in)(4.5 in)
icing area = 45π in² ≈ 141.4 in²
The area of icing on the cake is about 141.4 square inches.
__
Additional comment
If you use 3.14 for π, you get 141.3 square inches.
The attachment shows the "pi button" value. We have rounded to tenths, The full precision result is given so you can round to your checker's requirements.
<95141404393>
The measure of an angle is 26.9°. What is the measure of its complementary angle?
Answers
Answer:
63.1°
Step-by-step explanation:
Complementary angles sum 90°
90 - 26.9 = 63.1°
Which of the following measures would create an infinite number of triangles?
three sides: 3 cm, 5 cm, and 7 cm
two sides of 4 cm and 7 cm with an angle of 54° between them
three angles: 62°, 34°, and 84°
three sides: 3 cm, 5 cm, and 10 cm
Answers
Answer:
it will be 28 cm
Step-by-step explanation:
just add them and look I an right or wrong
An infinite number of triangle will be created by angles: 62°, 34°, and 84°
What is Triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.
As, When no side is specified, an infinite number of triangles are created.
If side lengths are not given, the three angles will result in an infinite number of triangles that are comparable.
The option that provided only angles and no sides, namely angles of 62°, 34°, and 84°, corresponds to this criterion.
To build an endless number of triangles, other alternatives have sides or a side is provided but not in accordance with that.
Learn more about Infinite number of triangles here:
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Norma bought 2 bags of marbles. There were 83 marbles in each bag. How many marbles did Norma buy?
Answers
Answer:
166 marbles
Step-by-step explanation:
83 multiplied by 2 is 166
help??????? i need to get my work done for the day-
Answers
Answer:
earth is closest and venus is the farthest
Step-by-step explanation:
40 points to whoever get these right!! <3
Answers
{11, 14, 22}
Step-by-step explanation:Triangle Inequality Theorem states that two sides of a triangle must be greater than the third side.
Using this method, the answer is {11, 14, 22} because 11+14>22, 11+22>14, and 14+22>11
[2] Answer:x = 67°
Step-by-step explanation:Same-side interior angles are supplementary.
x° + 113° = 180°
x° = 180° - 113°
x = 67°
[3] Answer:r = 2°
Step-by-step explanation:The little box represents 90 degrees, meaning that these angles are complementary.
9r + 2° + 70° = 90°
9r + 72° = 90°
9r = 18°
r = 2°
word word
Chart and Graph Questions (image inserted)
Answers
X is the horizontal line and y is the vertical one- so (1,3) you would move one horizontally (right) and 3 vertically (up)
Answer:
X is the horizontal line and y is the vertical one- so (1,3) you would move one horizontally (right) and 3 vertically (up)
hurry i need your help
Answers
Answer:
IM READY FOR ACTION!
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
A. 2.50 + 2.50 + 2.50 + 2.50
the sum of 2.50, 4 times
B. The sum is 10, Maila's friends tell her to sell each wristband for 2.50. And 4 were bought, so add 2.50+2.50+2.50+2.50.
10 9 8 7 6 5 4 3 2 1 0
---0----|----|--•--|----|----•----|----|--•--|----|---
<----------- <---------- <----------- <------
+ + + +
2.50 2.50 2.50 2.50
What is 2.286
Rounded to the nearest hundredth
Answers
Answer:
2.29
Step-by-step explanation:
2.286
If the italicized number is 5 or above round the underlined number up. If it is 4 or less let it go
TRICK/ TIP
(5 or above, give it a shove. 4 or below, let it go.)
You pick a card at random. 6 7 8 9 What is P(divisor of 70)? Write your answer as a percentage. %
Answers
Answer:
Step-by-step explanation:
The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each
month they received $5.50 as a credit on the bill. Which equation and solution shows
the cost of their monthly Internet service before the credit?
3 (x + 5.50) = 111.75; the monthly Internet service is $31.75
3 (x - 5.50) = 111.75; the monthly Internet service is $42.75
1/3 (x - 5.50) = 111.75; the monthly Internet service is $42.75
1/3 (x + 5.50) = 111.75; the monthly Internet service is $31.75
Answers
Answer:
3 (x - 5.50) = 111.75
Step-by-step explanation:
They paid $111.75 for three months, that means they minus $5.50 every month which means a total of $16.5 for three months.
So you need use $111.75 plus the credit $16.5 for three months
111.75 + 16.5 = 128.25
Then use divide them by 3, (three months)
128.25 / 3 = 42.75
So they pay $42.75 per month before the credit.
I wish this could help you.
Answer:
b
Step-by-step explanation:
because i just took the test
can i have help with this i need to also know the working out
Answers
Answer: 76m
Step-by-step explanation:
First, start by splitting the figure into 2 smaller rectangular prisms; this can be done vertically or horizontally. I'll solve both ways so you can understand better.
Method 1: Splitting the figure into 2 rectangles vertically
The formula for volume or a rectangular prism is V = Bh. So, you start by finding the base of rectangular prism 1, which you can solve by multiplying the width (2m) by the length (4m) which is given in the figure. This gives you 8m which is the base. Now, if you look at the figure you can see that the height is 5m, so to find the volume of rectangular prism 1, you would multiply 8m (the base) by 5m (the height), and the answer is 40m.
Next, you would solve the same way to find the volume of rectangular prism 2. The given length is 4m and you can figure out the width by subtracting 5m - 2m which gives you 3m. Now you know your base which is 4m. To solve for the height you must again subtract 5m - 2m to get 3m. To find the volume, plug the values into the formula and multiply 4 X 3 X 3. The volume of rectangular prism 2 should come out to be 36m.
The last step is to add both of these volumes together. The volume of rectangular prism 1 + volume of rectangular prism 2 = Volume of the entire figure. The final volume is 40m + 36m = 76m.
Method 2: Splitting the figure into 2 rectangles horizontally
The formula for volume or a rectangular prism is V = Bh. So, you start by finding the base of rectangular prism 1, which you can solve by multiplying the length (2m) by the width (4m) which is given in the figure. This gives you 8m which is the base. Now, if you look at the figure you can see that the height is 2m, so to find the volume of rectangular prism 1, you would multiply 8m (the base) by 2m (the height), and the answer is 16m.
Next, you would solve the same way to find the volume of rectangular prism 2. The given length is 5m and the given width is 4m. Now you know your base which is 4m. To solve for the height you must subtract 5m - 2m to get 3m. To find the volume, plug the values into the formula and multiply 5 X 4 X 3. The volume of rectangular prism 2 should come out to be 60m.
The last step is to add both of these volumes together. The volume of rectangular prism 1 + volume of rectangular prism 2 = Volume of the entire figure. The final volume is 16m + 60m = 76m.
Hope this helps!