Answer:
The percentage of the heights that lie within one standard deviation of the mean height is 68%.
Step-by-step explanation:
Here it is given that the heights of adult males of a population are distributed normally.
The Empirical Rule states that in a normal distribution with mean µ and standard deviation σ, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be divided into three parts:
68% data falls within 1 standard deviation of the mean.That is P (µ - σ ≤ X ≤ µ + σ) = 0.68.
95% data falls within 2 standard deviations of the mean.That is P (µ - 2σ ≤ X ≤ µ + 2σ) = 0.95.
99.7% data falls within 3 standard deviations of the mean.That is P (µ - 3σ ≤ X ≤ µ + 3σ) = 0.997.
So, the percentage of the heights that lie within one standard deviation of the mean height is 68%.
NEED HELP PLEASE: Four shaded circles, each of radius 4 feet, are packed in a square as shown. Suppose you drop a coin onto the square at random. What is the probability that the center of the coin lands in a non-shaded area?
Answer:
16.0%
Step-by-step explanation:
Please help me with this.
Answer:
the ancer is 1
Step-by-step explanation:
Jocelyn has 6 birds. Their mean age is 10. The mode of their age is 8 . What might there ages be ??.
Subject - Math ( Mean, Median, and Mode ) PLZ write the answer correctly !! The best answer will be marked as Braintlies !!
Answer:
total ages = 60
Generally, if the mode is 8 would mean there are more than one age of 8
suppose there are two with age 8,
leaving 44 for the other 4
(11 for the average of the remaining 4)
could have 9 and 13, and 8 and 14
so we could have:
8,8,8,9,13,14
or we could have:
8,8,9,10,12,13
check:of the 1st answer
mean = (8+8+8+9+13+14)/6 = 10
the mode is 8
Step-by-step explanation:
AB
Round your answer to the nearest hundredth.
С
50°
6
?
B
Answer:
AB ≈ 7.83
Step-by-step explanation:
Using the sine ratio in the right triangle
sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB }[/tex] = [tex]\frac{6}{AB}[/tex]
Multiply both sides by AB
AB × sin50° = 6 ( divide both sides by sin50° )
AB = [tex]\frac{6}{sin50}[/tex] ≈ 7.83 ( to the nearest hundredth )
What is the area of the triangle?
A right triangle with side lengths 3 inches, 4 inches, and 5 inches.
A.6 square inches
B.7 and one-half square inches
C.10 square inches
D.12 square inches
Answer:
The answer is A. 6 square inches
Step-by-step explanation:
The area of a triangle is half the product of the height and base
what is the area of the parallelogram
A. 11in2
B. 22in2
C. 45in2
D. 60in2
Answer:
Step-by-step explanation:
Area of a parallelogram is base times height. So 15x4
It’s 60in^2
So D
Answer:
D. 60 inches^2
Step-by-step explanation:
The area of a parallelogram can be found using:
a=bh
We know that the height is 4 inches, and the base is 15 inches. Therefore, we can substitute 4 in for h and 15 in for b.
a=4*15
Multiply 4 and 15
a=60
Area is always units^2. We know the units are inches, therefore the area is:
60 inches^2, or choice D
The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that at least one egg is cracked. Write the entire decimal answer.
Answer:
[tex]P(X \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]
[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]
And replacing we got:
[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]
Step-by-step explanation:
Let X the random variable of interest "number of craked eggs", on this case we now that:
[tex]X \sim Binom(n=2, p=0.01)[/tex]
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
And we want to find this probability:
[tex]P(x \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]
And we can find the probability:
[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]
And replacing we got:
[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]
Zia is building a plastic model rocket that has the combined shape of a cone and a cylinder as shown. Additionally, the cylinder has a hemisphere hollowed out of its bottom. the plastic for the cone weights 1.4 grams per cubic centimeter and the plastic of the cylinder weighs only 0.8 grams per cubic centimeter. What is the volume of the plastic that remains?
Answer:
The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
The volume of this cone is 376.8 cubic feet. What is the radius of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth
Height is 10ft
Answer:
The radius of the cone is 6 feets.
Step-by-step explanation:
We have,
Volume of the cone is 376.8 cubic feet
Height of the cone is 10 ft
It is required to find the radius of this cone. The formula of the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
r is radius of cone
[tex]r=\sqrt{\dfrac{3V}{\pi h}} \\\\r=\sqrt{\dfrac{3\times 376.8}{3.14\times 10}} \\\\r=6\ ft[/tex]
So, the radius of the cone is 6 feets.
a real number line can represent both real and imaginary numbers
True or false ?
Answer:
True
Step-by-step explanation:
Find the 12th term of the geometric sequence 2, -4, 8,
Answer:
-4096
Step-by-step explanation:
Pattern: *-2
2, -4, 8, -16, 32, -64, 128, -256, 512, -1024, 2048, -4096
Answer:
-4096
Step-by-step explanation:
A gardener makes a new circular flower bed. The bed is ten feet in diameter. Calculate and the area of the circular flower bed
Answer:
31.4
Step-by-step explanation:
im not good at math idk if i would trust my answer
but what i did was multiply 10 by pi
three-fourths the square of a number
Answer:
i think it is D i am sorry if it is wrong
Step-by-step explanation:
Help me I will give you brainliest!!!!
Answer:
2/36
Step-by-step explanation:
There are 36 possibilities when rolling a die
There are 2 that sum to 11
P (sum of 11) = sum of 11/ total
=2/36
1/18
The surface area of which composite figure is the sum of the areas of eight triangular faces?
VX
O two rectangular pyramids joined at their congruent bases
two rectangular pyramids joined at two congruent lateral faces
O two triangular prisms joined at their congruent bases
two triangular prisms joined at two congruent lateral faces
Answer:
B
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
E=mc
(the 'c' is squared btw.. it has a little 2 at upper right conner)
To solve for " m " in the formula shown above, you should:
Select one:
a. A.) Divide both sides of the equation by c squared.
b. B.) Subtract c squared from both sides of the equation.
c. C.) Multiply both sides of the equation by c squared.
d. D.) Add a negative c squared to both sides of the equation.
Answer:
A
Step-by-step explanation:
Divide both sides of the equation by c²
without calculating steven says that prisms A and B have the same volume. Explain why Steven is correct
Answer:
The shapes are the same, just one is sideways. They also have very similar measurements.
Step-by-step explanation:
Even so, when we check this we get:
(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2
when simplified (solved) this is: 18 3/8 = 18 3/8
Please help! I will give you brainliest !
Answer:
70 and 21
Step-by-step explanation:
6parts of the ratio represents 84 students
Divide 84 by 6 to find the value of one part of the ratio
84 ÷ 6 = 14 ← value of 1 part of the ratio, thus
5 parts = 5 × 14 = 70 ← number of Michigan students
Indiana students = 175 - (84 + 70 ) = 175 - 154 = 21
Quadrilateral ABCD is the result of a reflection of quadrilateral LMNO over the line. Which line segment in the image corresponds to NO in the pre-image? I want to say CD but not 100% sure. Only correct answers please. Very important. Working on it now
Answer:
CD
Step-by-step explanation:
Reflection is a rigid transformation which always create a congruent image of the original image or pre-image.If quadrilateral ABCD is the result of a reflection of quadrilateral LMNO over the line.
Then both the quadrilaterals are congruent.
To find the line segment in the image corresponds to NO in the pre-image, just check the order of the letters in the name of quadrilaterals.
Also, In reflection image and its pre-image are equidistant from the line of reflection
hence, CD is the line segment in the image corresponds to NO in the pre-image.
BRAINLIST THIS ANSWER
*place holder since picture has the work*
Answer:
rhombus
Step-by-step explanation:
The picture is up there thank you!
Answer:
4
Step-by-step explanation:
because it is the most # of pictures
Picture attached PLEASE HELP
Answer:
3
Step-by-step explanation:
The x value is half of the y value on this chart.
In a Normal Distribution. What percentage of the values lie below the Mean?
100%
75%
25%
50%
Answer:
50%
Step-by-step explanation:
The mean ideally should be in the exact middle
What is the value of n?
In
= 5
5 only
O and 5
-5 or 5
-5 only
Helpppp ASAP
Answer: is there a gra or something to show
Step-by-step explanation:
The yearly cost in dollars, y, at a video game arcade based on total game tokens purchased, x, is y = y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member and y = y equals StartFraction 1 Over 5 EndFraction x. x for a nonmember. Explain how the graph of a nonmember’s yearly cost will differ from the graph of a member’s yearly cost.
Answer:
The members slope is flatter by half compared to the non-members slope. The graphs intersect at 600 tokens and $120. Until that point the cost for non-members is less than the cost for members. After 600 tokens the cost for members is less than the cost for non-members.
Step-by-step explanation:
I hope I have your equations correct:
Member:
y = 1/10x + 60
Non-Member:
y = 1/5x
The graph of a non-member yearly cost will have a slope of 1/5 and a y-intercept, of 0 while the graph of a member's yearly cost will have a slope of 1/10 and a y-intercept of 60 tokens.
How to solve graphs of straight lineAccording to the question;
For a member; y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member.For a member; y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member.For a non-member; y equals StartFraction 1 Over 5 EndFraction x.In essence; the mathematical equation for a member is;
y = (1/10)x + 60.For a non-member;
y = (1/5)x.Ultimately, the graph of a non-member yearly cost will have a slope of 1/5 and a y-intercept, of 0 while the graph of a member's yearly cost will have a slope of 1/10 and a y-intercept of 60 tokens.
Read more on graphs of straight line;
https://brainly.com/question/14808962
what is the surface of the square pyramid ?
A. 168,750 square yards
B. 5625 square yards
C. 14,625 square yards
D. 20,250 square yards
(50 points)
Answer:
D. 20,250 square yards
Step-by-step explanation:
Base + 4 triangles
(75×75) + 4(½×75×97.5)
5626 + 14625
20250 yd²
Heeelp please will give brainliest if correct!
Answer:
y= 200/6x + 100
Step-by-step explanation:
Process of elimination it can't be y= 2/3x + 100 or y = 2/3x because then for x = 12 y would equal 108, but it was closer to 200. That means it had to be one of the other two, the one without the +100 would also end up being too little.
Please help WILL GIVE BRAINLIEST‼️
Answer:
384 cubic meters
Step-by-step explanation:
Think of it as two rectangles on top of each other and then add the two volumes.
Volume is l*w*h
So for the bottom rectangle: (8) (12) (2) = 192 cubic meters
And for the top rectangle: (4)(6)(8) = 192 cubic meters
It is important to remember that for the top box you have to subtract the height of the bottom box which is why I used 4 for the height instead of 6.
Then you add them together.
192+192 = 384 cubic meters
Solve the following proportion 9/x = 3/12
A. 36
B. 6
C. 24
Answer:
A
Step-by-step explanation:
[tex]\frac{9}{x}=\frac{3}{12}\\\\[/tex]
Cross multiply,
9*12 = x*3
[tex]\frac{9*12}{3}=x[/tex]
x = 3*12
x = 36
Answer:
36
Step-by-step explanation: Hope this helps! :)
Find S(13) when S(n) = n ^ 2
Answer:
169
Step-by-step explanation:
We plug in 13 for n, and when we do so we get S(13) = 13² = 169. Hope this helps!
Answer:
169
Step-by-step explanation:
N=13 therefore you have to do 13 to the second power 13•13=169
