Answer:
735.13268 units^2
Step-by-step explanation:
A=2πrh+2πr2=2·π·9·4+2·π·92≈735.13268
Please Help!! In a discount store, 12% of the 100 cups in stock have some unnoticeable defect. What is the probability of buying 12 cups that don’t have any defect? And what is the probability of getting all 12 cups having a defect?
≈Answer:
a)What is the probability of buying 12 cups that don’t have any defect?
0.1955
b) And what is the probability of getting all 12 cups having a defect?
9.52 × 10⁻¹⁶
Step-by-step explanation:
In the question,we are given the following values:
12% of the 100 cups in stock have some unnoticeable defect.
The number of cups that have defect in stock is calculated as:
12/100 × 100 = 12 cups
The number of cups that doesn't have defect is calculated as:
Total number of cups in stock - Number of cups in stock that have defect.
100 - 12 = 88 cups
a) What is the probability of buying 12 cups that don’t have any defect?
Probability Formula = Number of events/ Number or possible outcomes.
The probability of buying cups that don't have any defect =
88/100 × 87/99 × 86/98 × 85/97 × 84/96 × 83/95 × 82/94 × 81/93 × 80/92 × 79/91 × 78/90 × 77/89 = 0.1955138721
Approximately = 0.1955
b) And what is the probability of getting all 12 cups having a defect?
Probability Formula = Number of events/ Number or possible outcomes.
= 12/100 × 11/99 × 10/98 × 9/97 × 8/96 × 7/95 × 6/94 × 5/93 × 4/92 × 3/91 ×2/90 × 1/89
= 9.519991996 ×10⁻¹⁶
Approximately = 9.52 × 10⁻¹⁶
Please help. I also will post another question I need help with. Thank you if you help.
Geometric progression, first term 5, common ratio 3.
Answer: 5, 15, 45, 135
Crunch Bunch cereal boxes come in two sizes. The mini What is the height of the standard size box of Crunch
cereal box of Crunch Bunch is a reduction of the
Bunch?
standard box
1.6 inches
8 in
6.4 inches
10 inches
15.2 inches
Standard Box
Mini Box
The answer is 10
Answer:
10 inches
Step-by-step explanation:
For we solve this, we can use proportionality
Using the following method
Mini box: height 4 inches and width 3.2 inches
The proportion is: 4 in (height) / 3.2 in (width)
Standard box: height x inches and width 8 inches
x in (height) / 8 in ( width)
So:
x /8= 4/ 3.2
Solving for x:
x = (4/ 3.2) 8
x = 10 inches
As the answer
Answer:
10 inches
Step-by-step explanation:
Help does any one know how to type out the variable that looks like a cursive E??
Answer:
why don't you copy and paste it
ASAP,please answer ! I will of course mark brainliest to the one who answer !
Answer:
There are 12 possible outcomes in this sample space.
Step-by-step explanation:
There are 3 sweaters. For each sweater, there are 4 skirts. 3 multiplied by 4 is 12.
Does the following equation represent growth or decay y=4^x
Answer:
The equation represents exponential growth
Step-by-step explanation:
Since the equation is a positive exponential equation
find the volume of the cylinder.
either enter an exact answer in terms of pi or the use of 3.14
radius 3
height 6
Answer:
Volume, [tex]V=169.56\ \text{units}^3[/tex]
Step-by-step explanation:
We have,
Radius of cylinder is 3 units
Height of the cylinder is 6 units
It is assumed to find the volume of the cylinder. The formula of the volume of cylinder is given by :
[tex]V=\pi r^2 h \\\\V=3.14\times 3^2 \times 6\\\\V=169.56\ \text{units}^3[/tex]
So, the volume of the cylinder is [tex]169.56\ \text{units}^3[/tex].
Carmine has a total of 9 7/8 gallons of milk in his refrigerator. For breakfast, his nephew Silvio puts 3/4 of the milk into his cereal bowl. How many gallons of milk does Silvio get in his cereal
Answer:
The volume of gallons used by Silvio = [tex]7\frac{13}{32}[/tex] gallons
Step-by-step explanation:
Total volume of milk = [tex]9\frac{7}{8}[/tex] = [tex]\frac{79}{8}[/tex]
amount used by Silvio = [tex]\frac{3}{4}[/tex] of total volume
This means that if the total volume of milk were divided into four parts, Silvio takes 3 out of 4 parts, and this is converted to volume as follows:
∴ amount used by Silvio = [tex]\frac{3}{4}[/tex] × [tex]\frac{79}{8}[/tex] = [tex]\frac{237}{32}[/tex] = [tex]7\frac{13}{32}[/tex] gallons
Find the equation of the parabola with vertex at the origin, focus at (3m, 0) and directrix with equation x=–3m.
Answer:
The equation of the parabola is:
[tex]x = 12\cdot m \cdot y^{2}[/tex]
Step-by-step explanation:
The equation of the parabola is:
[tex]x = 4\cdot p \cdot y^{2}[/tex]
Where [tex]p[/tex] is equal to the distance between focus and vertex. Then,
[tex]p = 3\cdot m[/tex]
Lastly, the equation of the parabola is:
[tex]x = 12\cdot m \cdot y^{2}[/tex]
Answer: x = (1/12m)(y^2)
Step-by-step explanation:
Focus at (3m, 0)
Directrix equation, x = -3m
Distance from focus = distance from directrix
√(x-3m)^2 + (y-0)^2 = √(x - (-3m))^2 + (y -y)^2
(x - 3m)^2 + y^2 = (x + 3m)^2
y^2 = (x + 3m)^2 - (x - 3m)^2
y^2 = x^2 + 6mx + 9m^2 - x^2 +6mx - 9m^2
Collecting like terms and simplifying
y^2 = 6mx + 6mx
y^2 = 12mx
x = (1/12m)(y^2)
The height of a parallelogram is one-third its base. If the area of the parallelogram is 363 square inches, find its base and height. (Draw a diagram.)
Answer:
Height = 11 inches
Base = 33 inches
Step-by-step explanation:
In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.
From the question, we are told that height is 1/3 of base. This means that base is 3 times the height
So if we represent the height with variable h, then the base is 3h
Mathematically the area of a parallelogram can be calculated by the formula
A = bh
Thus ,
363 = h * 3h
3h^2 = 363
divide through by 3
h^2 = 121
h = √121
h = 11 inches
since b = 3h , then b = 3 * 11 = 33 inches
How to convert a decimal to a fraction
Step-by-step explanation:
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the fraction
hope it helps
What is the volume, in cubic m, of a cube with an edge length of 18m?
Answer:
The answer is 5832
Step-by-step explanation:
18 ^3 is 5832
plzWegnerkolmp2741ohelpmethakyou
Answer:
z=2
Step-by-step explanation:
z^2 - 4z+4 =0
Factor recognizing
a^2 - 2ab - b^2 = (a-b)^2
(z-2)^2 =0
Using the zero product property
z-2 = 0
z=2
Four students were asked to write an expression which has terms that have a greatest common factor of 8c.
the expressions provided by the students are shown below.
Tanya
32C+16cd
Wyatt
8c-48cd
Xavier
36c-24c yang. 8c+40
Which student wrote the correct expression?
Answer:
Wyatt
Step-by-step explanation:
Tanya: 32c+16cd=16c(2+d)
The GCD of the terms is 16cWyatt : 8c-48cd=8c(1-6d)
The GCD of the terms is 8cXavier :36c-24c =12c(3-2)
The GCD of the terms is 12cYang: 8c+40=8(c+5)
The GCD of the terms is 8Since the expression is required to have a GCD of 8c, Wyatt wrote the correct expression.
Answer:
wyatt answered correctly
Step-by-step explanation:
200,80, 32, ...
Find the 7th term.
Answer:
0.8192
Step-by-step explanation:
The pattern is dividing by 2.5 each time since:
200/80=2.5
80/32=2.5
So now:
1st term: 200
2nd term: 200/2.5=80
3rd term: 80/2.5=32
4th term: 32/2.5=12.8
5th term: 12.8/2.5=5.12
6th term: 5.12/2.5=2.048
7th term: 2.048/2.5=0.8192
Compare the rates of change of the following equation and table.
y = 8x
x y
2 22
4 44
6 66
8 88
A.
The rate of change of the table is equal to the rate of change of the equation.
B.
The rate of change of the table is greater than the rate of change of the equation.
C.
The rate of change of the table is less than the rate of change of the equation.
D.
There is not enough information to determine the rates of change.
If a 30-foot ladder leaning against a building makes a 62° with the ground. How many feet from the base of the building is the bottom of the ladder? Assume you hired an excellent contractor, and your building's wall is perpendicular to the ground. Round to the nearest tenth of a foot.
Answer: 14.1 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the trigonometric functions.
cos α = adjacent side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the adjacent side (x) is the distance from the base of the building to the bottom of the ladder
Replacing with the values given:
cos 62 = x/ 30
Solving for x
cos62 (30) =x
x= 14.1 feet
Feel free to ask for more if needed or if you did not understand something.
Follow the steps to finish solving the equation -3x + 18 = 7x
1. Add 3x to both sides to isolate the variable term.
2. Divide both sides by 10.
Xa
Answer:
Don’t really know what the question is, but these are the answers for x
8 people are about to board a plane. In how many ways can this be done?
Answer:
64 ways
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
If you visualize that 1 person can line up in 8 different ways, by being first in line, second, third, etc. there are 8 possible ways 1 person can line up, so multiply that by the # of people which is 8.
Which ists the steps in the correct order to fnd the medan of this data set? 24 16 23 30, 18 29 1 Put the numbers in order 2. Cross off highvlow pairs 3 Add the leftover numbers 4. Divsde the sum by 1 Pt the numbers in order 2. Cross of highlow pairs 1 Cross off hightow pars 2. Add the 3 Divsle the sum by over numbers 1 Cross of highlow pars
Answer:
1. Put the numbers in order.
2. Cross off high/low pairs.
3. Add the leftover numbers.
4. Divide the sum by 2.
Step-by-step explanation:
Given:
24, 16, 23, 30, 18, 29
The ordered steps involved in Calculating the median of the data set given :
1.) put the numbers in order: This involves arranging the numbers in the dataset usually in ascending order :
16, 18,23,24,29,30
2.) Cross off high/low pairs: take out equal amount of input from both the left and right hand side. Here we have (23, 34) left
3) Add the leftover numbers: Since the values left is more than one, both values are summed, we have (23+24) = 47
4.) Divide the sum by 2 : Get the average of the two numbers to obtain the median value. Here the average is (23+24)/2 = 47/2 = 23.5
Answer:
A: 1. Put the numbers in order.
2. Cross off high/low pairs.
3. Add the leftover numbers.
4. Divide the sum by 2.
Step-by-step explanation:
edg2020
There is a 20% chance of rain on Tuesday and a 30% chance of rain on Friday. What percent chance will it rain both Tuesday and Friday?
Answer:
There is a 40% chance that it will rain Tuesday and Friday.
Step-by-step explanation:
This is a good way to check you've done it correctly. Rains on Tuesday + doesn't rain on Friday: 40%⋅50%=20%
Answer:
60 percent chance
Step-by-step explanation:
First you multiply the two together. Then move the decimal to get a percent! HOpe this helps
A soccer field is a rectangle 40 yards long and 30 yard wide. The coach asks the players to run from one corner to the other corner diagonally across. What is the distance?
Answer:
50 yards
Step-by-step explanation:pythogourus theorem apply here
a²+b²=c²
40²+30²=c²
c²=2500
c=√2500
c=50 yards
hope this helps
plz mark me brainliest
Does anybody know how to solve this? (Click for full picture if it doesn’t show up)
Step-by-step explanation:
angle A = 38
now come with me inside the triangle ABC
use two property of isoceles traingle and sum of angles of triangle
you get x= 71°
Answer:
x = 71°
Step-by-step explanation:
Notice that angle D is the inscribed angle of arc BC. By definition of inscribed angles, the measure of an arc's inscribed angle is half the measure of the arc. Also we see that angle A is the central angle of arc BC. By definition, the central angle measure is equal to the arc measure.
Here, ∠D = 19, which means arc BC = 19 * 2 = 38°. Then, that means ∠A = 38.
Notice that ABC forms a triangle and remember that all the angles of a triangle add up to 180°. Since ΔABC is isosceles, we know that the base angles are congruent, so let's say they're both x. Since ∠A = 38°, ∠B = ∠C = x, we can add them up to get 180:
∠A + ∠B + ∠C = 180
38 + x + x = 180
38 + 2x = 180
2x = 142
x = 142/2 = 71
Thus, x = 71°.
Solve the following:
a)
3x + 4 /2 = 9.5
7 + 2x /3 = 5
b)
Did Julio verify the solution?
O No. He substituted 4 and -2 for the wrong
variables.
O No. He did not check the point in the second
equation
O No. He simplified the equation incorrectly.
Yes. He verified that (4, -2) is a solution to the
system of equations.
ASAP
Answer:
No. He did not check the point in the second equation.
Step-by-step explanation:
Took the assignment
Answer:
no he did not check his second equation
Step-by-step explanation:
Just took it hope this helps.
Hich statement about a quadrilateral is true? A rectangle is a trapezoid. All rhombuses have four right angles. A trapezoid is a rhombus. A square is a rhombus.
Answer:
A square is a rhombus.
Step-by-step explanation:
A square is a geometrical figure which has four sides that are congruent. A rhombus is also a geometrical figure in which the four sides are congruent. Hence, it is true that a square is a rhombus. The difference between the two is that all the angles of a square are a right angle, while in rhombus the opposite angles are congruent.
1. Use Euler’s formula to find the number of vertices in a polyhedron with 18 edges and 9 faces
use formula: F+V = E+2
please help!
Answer: 11 vertices
Step-by-step explanation:
Hi, to answer this question we simply have to substitute E=18 and F= 9 on Euler's formula:
F+V = E+2
Where:
F = number of faces
V = number of vertices
E= number of edges
Replacing with the values given:
9+V = 18+2
Solving for V:
V =18+2-9
V = 11
Feel free to ask for more if needed or if you did not understand something.
evaluate the expression -3 times 0.4 to the power of 2 + -1.1 to the power of 3?
Answer:
idk i have the same question
Step-by-step explanation:
On a test, Robert has been presented with 15 vocabulary words and 15 definitions. He is being asked to match each vocabulary word to appropriate definition. How many different ways are there for Robert to do the matching?
Answer:
15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
Step-by-step explanation:
It will be 15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
Because the first vocab has 15 definitions to match
the second then be left with 14 definitions ( cause the first one match with 1 def already
the third has 13 definition
so on ...
hope this help
Answer:
15! ways
Step-by-step explanation:
15! =1.307 × 10¹²
For the first word, he has 15 options
For the second word, 14 options
.
.
.
For the last word, 1 option
Total possibilities:
15 × 14 × 13 × 12 × ...... × 1 = 15!
Anyone understand how to do this?
Answer:
f ( x ) = - 2x^2 + 3x + 1
Step-by-step explanation:
If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;
− ∞ < x < ∞, while y > − ∞
Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;
If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;
Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2
