Answer: 0.000017 meters
Step-by-step explanation:
Move the decimal point 5 places to the left (because it’s negative 5).
Find the missing height in the diagram.
4 ft
81
12 ft
feet
3
64
16 ft
Answer:
2feet at the least man
Answer:
4ft
Step-by-step explanation:
i did 12ft - 8ft which would of gotten the length of the bottom length.
Use the following probability model to answer the question.
Event: For each adult resident in a city we ask how many
vehicles they own.
Number of Vehicles
Probability
0.04
0
1
0.41
0.38
0.13
UWN
0.03
0.01
Find the probability that an adult resident has 3 or more
vehicles. Give your answer as a number between 0 and 1.
Answer:
Step-by-step explanation:
Number of Vehicles Probability
0 0.04
1 0.41
2 0.38
3 0.13
4 0.03
5 0.01
X= 1
.13+.03+.01=0.17 (the amount with 3 or more cars)
0.17/1(Total amount of all probability)= 0.17 has 3 or more cars.
Probability is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability that an adult resident has 3 or more is 0.17
What is probability?
It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The probability distribution of the number of vehicles is given as,
P(x) where x is the number of vehicles.
P(0) = 0.4
P(1) = 0.41
P(2) = 0.38
P(3) = 0.13
P(4) = 0.3
P(5) = 0.1
The probability that an adult resident has 3 or more.
= P(3) + P(4) + P(4)
= 0.13 + 0.03 + 0.01
= 0.17
Thus,
The probability that an adult resident has 3 or more is 0.17
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
The area of a rectangular sheet of metal is 135 square inches. The perimeter is 48 inches. What are the dimensions of the sheet?
Answer: The length is 15 inches and breadth is 9 inches
Step-by-step explanation:
Given : Area of rectangular sheet = 135 square inches
Perimeter of rectangular sheet = 48 square inches
Now Area of rectangular sheet = [tex]Length\times Breadth[/tex] = 135 square inches
perimeter of rectangular sheet = [tex]2\times (Length+Breadth)[/tex] = 48 square inches
Thus [tex](Length+Breadth)[/tex] = 24 square inches
Thus Length = 15 inches
Breadth = 9 inches
What is the volume of this regular prism?
9.70 cubic inches
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Answer:
9.70 cubic inches
Step-by-step explanation:
Surface Area (SA) = √(25 + 10 * √5) * a² + 5 * l * h
2
Volume (V) = √(25 + 10 * √5) * a² * h
4
Which is the solution to the inequality?
8
15
b
o b<21/1
b>27/13
b<3 775
b>3 73
Answer:
D) [tex]b>3\frac{2}{15}[/tex]
Step-by-step explanation:
Suppose a white dwarf star has a diameter of approximately 1.8083 to the power of 4 km. Use the formula 4n to the power of 2 to find the approximate surface area of the star.
ANSWER:
The surface area of the star is 3.2700 x [tex]10^{8}[/tex] square kilometres.
EXPLANATIONS:
Diameter of the star = 1.8083 x [tex]10^{4}[/tex] Km.
Surface area of the star = 4[tex]n^{2}[/tex]
Where n is the radius of the star.
So that;
n = [tex]\frac{ 1.8083 * 10^{4} }{2}[/tex]
= 0.90415 x [tex]10^{4}[/tex]
n = 0.90415 x [tex]10^{4}[/tex] Km
Thus,
Surface area = 4 x [tex](0.90415*10^{4} )^{2}[/tex]
= 326994889
Surface area = 3.2700 x [tex]10^{8}[/tex] [tex]km^{2}[/tex]
Therefore, the surface area of the star is 3.2700 x [tex]10^{8}[/tex] square kilometres.
Which expression does the model represent?
0
1
1
8
2
8
3
8
4
8
5
8
7
8
colos
BRAINLIEST! HELP! Please help me! I NEED PART D AND E! I’m so lost :(
If you can show your work so I understand that would be awesome! Thanks so much!!
Part A-The pyramids have always fascinated Kristina, so she wants to build to model pyramids to put on her mantle. She wants her model of Khufu’s pyramid to have a volume of 73.5 inches and a height of 4.5 inches. What would the side length of the base of the pyramid be is this a rational or irrational? Why?
Part B- The volume of Khafre’s pyramid is about 9/10 the volume of Khufu‘s pyramid. If Kristina wants to make the second model pyramid so it’s volume is 9/10 of the volume of the first model pyramid, what volume should she make the second model pyramid?
Part C- if the height is 4.41 inches and the volume is the volume found in Part B, what will the side length of the pyramids base be? Is the number rational or irrational? Why?
Part D- for the model to be scale, the ratio of the height to the side length should be the same for both the actual pyramid and the model. Is the model of Khufu‘s pyramid to scale? If not, is it close?
Part E- Is the model of Khafre’s pyramid to scale? If not, is it close?
Part A
Given:
Volume of square pyramid = 73.5 cubic inches
height of square pyramid = 4.5 inches
To find:
1)Side length of square pyramid.
2)if side length of square pyramid is rational or irrational
Steps:
1) Side length = [tex]\sqrt{\frac{3v}{h} }[/tex]
Side length = [tex]\sqrt{\frac{3*73.5}{4.5} }[/tex]
Side length = [tex]\sqrt{\frac{3*73.5*10}{4.5*10} }[/tex] (multiplying both sides to make it a whole number)
Side length = [tex]\sqrt{\frac{3*735}{45} }[/tex]
Side length = [tex]\sqrt{\frac{735}{15} }[/tex] (3 gets canceled out)
Side length = [tex]\sqrt{49}[/tex]
Side length = 7 inches
Therefore, the side length of the square pyramid is 7 inches long
2) 7 is a rational number, so the side length of the square pyramid is a rational number.
It is a rational number because,
it can be written in the form p/q, where
1) q [tex]\neq[/tex]0
2) p and q are co-prime
3) p and q are integers
Part B
Given:
Volume of Khafre's pyramid = 9/10 of Khufu's pyramid's volume
Volume of Kristina's first pyramid = 73.5 cubic inches
To find:
Volume of Kristina's second pyramid
Steps:
Volume of Kristina's second pyramid = 9/10 the volume of Kristina first pyramid
Volume of second pyramid = [tex]\frac{9}{10}*73.5[/tex]
Volume of second pyramid = 9 [tex]*[/tex] 7.35
Volume of second pyramid = 66.15 cubic inches
The volume of the second pyramid should be 66.15 cubic inches
Part C
Given:
Height of pyramid = 4.41 inches
Volume of pyramid = 66.15 cubic inches
To find:
1) Side length of pyramid
2) if the side length is rational or irrational
Steps:
1) Side length = [tex]\sqrt{\frac{3v}{h} }[/tex]
Side length = [tex]\sqrt{\frac{3*66.15}{4.41} }[/tex]
Side length = [tex]\sqrt{\frac{3*66.15*100}{4.41*100} }[/tex] (multiplying both sides to make it a whole number)
Side length = [tex]\sqrt{\frac{3*6615}{441} }[/tex]
Side length = [tex]\sqrt{\frac{6615}{147} }[/tex] (3 gets canceled)
Side length = [tex]\sqrt{45}[/tex]
Side length of pyramid is [tex]\sqrt{45}[/tex] inches
2) [tex]\sqrt{45}[/tex] cant be written in the form of a fraction, so it is an irrational number
(if u want i can explain this more)
Part D
Given
Height of model pyramid = 4.5 inches
Height of Khufu's pyramid = 755.75 feet (had to search the internet for the answer, so I am not sure if it is correct)
Side length of model pyramid = 7 inches
Side length of Khufu's pyramid = 481.4 feet (had to search the internet for the answer)
To find:
1)If the model is to scale with Khufu's pyramid
2) If the model is close to scale with Khufu's pyramid
Steps:
1) First lets find the ratio of the height to the side length of the model
Ratio = 4.5 in : 7 in
= 45 : 70
= 9 : 14
= 0.6428
Now lets find the ratio of the height to the side length of Khufu's pyramid
Ratio = 481.4 feet : 755.75 feet
= 5776.8 in : 9069 in
= 0.6369
Therefore the model is not to scale with Khufu's pyramid
2) Yes the scale is close
Part E
Given:
Height of model pyramid = 4.41 inches
Height of Khafre's pyramid = 448 feet
Side length of model pyramid = [tex]\sqrt{45}[/tex] inches
Side length of Khafre's pyramid = 706 feet
To find:
1) If the model is to scale with Khafre's pyramid
2) If the model is close to scale with Khafre's pyramid
Steps:
1) First lets find the ratio of the height to the side length of the model pyramid,
Ratio = 4.41 in : [tex]\sqrt{45}[/tex] in
= 4.41 : 6.7082
= 0.6574
Now lets find the ratio of the height to the side length of Khafre's pyramid
Ratio = 448 ft : 706 ft
= 5376 in : 8472 in
= 0.6345
Therefore the model is not to scale with Khafre's pyramid
2) No, the model is not close to scale, (it depends by what is meant by close, for me its 0.01)
Happy to help, and I hope you learnt something from this answer that will help you in the future
If you didn't understand any topic pls ask
can anyone tell me time it's 11:24PM for me
Answer:
It's 11:55
Step-by-step explanation:
3. Blackberry is also in the business of selling phones. The data for the profit that Blackberry makes on selling tablets is represented by the following equation with profit being P(b) and b being number of blackberry phones sold (both variables in millions):
P(b) = -x2 + 8x – 8
a. Use the quadratic formula to solve the equation. What do these points tell us about the graph?
b. Complete the following table. Based on the table, estimate the vertex for the function. Is the vertex a max. or a min. point?
Blackberry: Profit from Smart Phones Sold
Smart Phones sold (in millions) b Profit (in millions of dollars) P(b)
-1
0
2 4
3
4
5 7
6
c. Sketch a graph for Blackberry. Label the x and y axis (for b and P(b))
Here is my answer. I left the latter question in a. as I don't actually know the answer. Anyway, I hope this is helpful although not complete.
find the value of each variable or indicated measures
Answer:
Step-by-step explanation:
To find the angle measure of an angle inside an arc then you multiply 1/2 by the sum of the 2 intercepted arcs.
x=1/2(42+56)
x=1/2(98)
x=49
can anyone help me? :)
Answer:
7\11
Step-by-step explanation:
you just multiply to get an integer then convert that
5 - 3(7x + 8)
It tells me to simply each expression and then this is the expression.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{5 - 3(7x + 8)}\\\\\large\text{DISTRIBUTE -3 WITHIN the PARENTHESES}\\\large\textsf{5 - 3(7x) + (-3)(8)}\\\large\textsf{-3(7x) = -21x}\\\large\textsf{-3(8) = -24}\\\large\textsf{= \underline{5 - 21x - 24}}\\\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{(-21x) + (5 - 24)}\\\large\textsf{-21 does NOT have any LIKE TERMS so we could leave it the same}\\\large\textsf{5 - 24 is the only LIKE TERM pair}\\\large\textsf{5 - 24 = -19}\\\large\textsf{-21x = -21x}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge\textsf{\bf -21x - 19}}}}\huge\checkmark[/tex]
[tex]\bf{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find 10.8% of 405. Round to the nearest tenth.
find an equivalent ratio in simplest terms 18:99
Answer:
2:11
Step-by-step explanation:
divide both sides by 9
In NTUV, the measure of N=90) UV = 8.7 feet, and VT = 3.6 feet. Find the measure of to the nearest degree.
Answer:
5
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
The measure of ∠CBD is 45% of the measure of ∠ABC. Find the value of x. due today
Answer:
45°
Step-by-step explanation:
I assume you meant 45°, not 45%.
90-45=45
If it is actually 45%, then the answer would be:
90x.55=49.5°
Please help!
Alex knows 18% of the students surveyed at his school are dropped off by car, while 22% walk or ride bikes, and the rest ride the bus. Which table could represent this information?
Please hurry, im on a unit test!
Answer:
Option a doesn't equal 100.
option b equals 100
c doesnt equal 100
d doesnt equal 100
the answer is b
Pleaseeeeeeeeeeeeeeeee help nowwwwwwwwwwwwwww
Which of the following statements is NOT true about the graph of a system of equations with no solutions?
A. The lines will have the different slopes.
B. The lines will have different y-intercepts.
C. The lines will share none of the same points.
D. The lines will have the same slope.
Answer:
A
Step-by-step explanation:
A would be the best answer here because equations with no solutions would be parallel. That means they would have the same slope but with different y-intercepts. Since where the equations share points would be the solution, they cannot share points either.
Mr. Garcia has 150 flair pens. 20% of the flair pens are red. How many flair pens
are not red?
_ dont steal points! _
pls answer ..
Answer: 120
Step-by-step explanation:
100-20 is 80. 80 percent are not red. Find 80 percent of 150. That is 120?
try, check, and revise or write an equation to solve
concert tickets are sold for $ 8 for the stalls and $ 6 for the gallery. For a function, 400 seats were sold for a total of $ 2,888. How many seats of each type were sold?
Answer:
156 seats were sold at the store and 244 at the gallery
Step-by-step explanation:
Let the amount of stalls be x
Let the price per ticket for gallery be y
If 400 seats were sold in total, then;
x+y = 400 ... 1
If concert tickets are sold for $ 8 for the stalls and $ 6 for the gallery with a total of $2888, then;
8x + 6y = 2888 ....2
Solve both equation simultaneously
x+y = 400 ... 1 * 8
8x + 6y = 2888 ....2 .*1
__________
8x+8y = 3200 .
8x + 6y = 2888
Subtract
__________
8y - 6y = 3200 - 2888
2y = 312
y = 312/2
y = 156
Since x = 400 - x
y = 400 - 156
y = 244
hence 156 seats were sold at the store and 244 at the gallery
PLEASE HELP ME I LITERALLY HAVE NO IDEA HOW TO DO THIS!!!!!!!!!!!!!!!!!!
Answer:
24
Step-by-step explanation:
First, find the total volume of the shape by multiplying all side lengths:
1 * 2 * (3/2) = 3 cubic cm
A cube with side length of 1/2 has a volume of (1/2)(1/2)(1/2) = 1/8 cubic cm
If the total volume is 3 cubic cm, how many 1/8 cm cubes would fit?
3 / (1/8) = 24 cubes
Solve these equations. Show solutions on a number line. |x - 14| = 14
Answer:
how are we supposed to get a number line if you didn't provide it i would answer it/
Step-by-step explanation:
Answer:
x=0 or x=28
im not sure
23.
If A, B, C are distinct digits, which of the following numbers cannot be the largest possible 6-digit number
written using three digits A, two digits B, and one digit C?
(A) AAABBC (B) CAAABB (C) BBAAAC (D) AAABCB (E) AAACBB
Answer:
The number that cannot be the largest possible 6-digit number is;
(D) AAABCB
Step-by-step explanation:
From the question, we have;
A, B, and C = Distinct digits, therefore, A ≠ B ≠ C
The number of digits in the number to be formed = 6 digits
The number of 'A' in the number to be formed = 3
The number of 'B' in the number to be formed = 2
The number of 'C' in the number to be formed = 1
We have;
When A > B > C
The largest possible number = AAABBC
When C > A > B
The largest possible number = CAAABB
When B > A > C
The largest possible number = BBAAAC
When A > C > B
The largest possible number = AAACBB
Therefore, given that when A > B > C, the largest possible number = AAABBC, we have;
AAABBC > AAABCB, because B > C, therefore, within the tens and unit of the two 6 digit numbers, we have, BC > CB
∴ AAABBC > AAABCB and AAABCB, cannot be the largest possible 6-digit number
Which table represents a quadratic function?
Answer:
Step-by-step explanation:
the bottom one forms a straight line.. so not that one
but the top one looks more like a cubic function .. maybe it could be a quadratic.
Quick answer please
Answer:
D) 20m³
Step-by-step explanation:
1/2x4x2x5=20
last year megan had 63 books in her collection now she has 112 books what is the percentage increase
Answer:
56.25%
Step-by-step explanation:
Divide
63/112 = .5625
Convert to a percentage
56.25%
please please help me
solve 4x+9y= 61 and 7x+6y=58 by substitution
Answer:
what?
Step-by-step explanation:
Manipulate the radius and height of the cone, setting different values for each. Record the radius, height, and exact volume of the cone in terms
of m). The first one has been done for you. Also calculate the decimal value of the volume, and verify that it matches the volume displayed by the
tool (You might see some discrepancies in the tool due to rounding of decimals.)
Answer:
The decimal value of the volume already given= 1885.2 unit³
For radius 11 unit height 12 unit
Volume= 484π unit³
Volume= 1520.73 unit ³
For radius 4 unit height 6 unit
Volume= 32π unit³
Volume= 100.544 unit³
For radius 20 unit height 15 unit
Volume= 2000π unit³
Volume= 6284 unit³
Step-by-step explanation:
The decimal value of the volume already given= 600π
The decimal value of the volume already given= 600*3.142
The decimal value of the volume already given= 1885.2 unit³
For radius 11 unit height 12 unit
Volume= πr²h/3
Volume= 11²*12/3 *π
Volume= 484π unit³
Volume= 1520.73 unit ³
For radius 4 unit height 6 unit
Volume = πr²h/3
Volume= 4²*6/3(π)
Volume= 32π unit³
Volume= 100.544 unit³
For radius 20 unit height 15 unit
Volume= πr²h/3
Volume= 20²*15/3(π)
Volume= 2000π unit³
Volume= 6284 unit³
Hope this helps, best of look to all who needed help!!