A = 50.24
To find the area of a circle we can use the following equation
[tex]A = r^2\pi \\A = 4^2\pi \\A = 16\pi \\\\A = 16*3.14\\A = 16*3.14\\\\A = 50.24[/tex]
You flip a coin 50 times. Of the 50 flips, the coin landed on heads 30 times. Use the questions below to compare the experimental probability of flipping heads with the theoretical probability of flipping heads.
Given:
Of the 50 flips, the coin landed on heads 30 times.
To find:
The experimental probability of flipping heads and compare it with the theoretical probability of flipping heads.
Solution:
We have,
Total number of trials = 50
Total number of heads = 30
The experimental probability of flipping heads is:
[tex]\text{Experimental probability}=\dfrac{\text{Total number of heads}}{\text{Total number of trials}}[/tex]
[tex]\text{Experimental probability}=\dfrac{30}{50}[/tex]
[tex]\text{Experimental probability}=\dfrac{3}{5}[/tex]
[tex]\text{Experimental probability}=0.6[/tex]
A coin has two sides one is heads and another is tails. So, the theoretical probability of flipping heads is:
[tex]\text{Theoretical probability}=\dfrac{1}{2}[/tex]
[tex]\text{Theoretical probability}=0.5[/tex]
Therefore, the experimental probability of flipping heads is 0.6 and the theoretical probability of flipping heads is 0.5. So, the experimental probability is greater than the theoretical probability of flipping heads.
ASAP someone please put these answers in scientific notation.
Enter the degree of the polynomial below:
6x^6 + 9x^3 + 3x^2 - 4x^10 - 9x^5 - 5x^6
Answer:
10
Step-by-step explanation:
The highest exponent determines the degree of a polynomial.
a line is the locus of points that:
Answer:
A line is the locus of points that: are the same distance from two points. That's the equation for a line.
Step-by-step explanation:
hope its help
Answer:
A line is the locus of points that: are the same distance from two points.
Step-by-step explanation:
Farah saved $15 everyday while shirley saved $10 everyday. Shirley started saving money 5 days earlier than Farah. How many days will it take Farah to have the same amount of savings as Shirley?
Answer:
6 days
Step-by-step explanation:
shirley earned 50 dollars before farah started saving
50-15
60-30
70-45
80-60
90-85
100-100
6 days
In 10 days Farah and Shirley will have the same amount of money
What is a linear equation in one variable?A linear equation is an alzebraic expression which has highest degree of one and contains only one variable.
In the given question farah saved 15$/day and Shirley saved 10$/day
Shirley started 5 days earlier so in 5 days she will save 10 x 5 = 50$
let assume days to be x.
So,
10x + 50 = 15x
5x = 50
x = 10 .
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help please!
integrate the following:
[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]
Answer:
i think its help..............
Answer:
[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following integration
[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]
in order to do so rewrite
[tex] \displaystyle \int \cos ^{2} (x) \cos(x) dx[/tex]
we can also rewrite cos²(x) by using trigonometric indentity
[tex] \displaystyle \int( 1 - \sin ^{2} (x) )\cos(x) dx[/tex]
to apply u-substitution we'll choose
[tex] \rm \displaystyle u = \sin ^{} (x) \quad \text{and} \quad du = \cos(x) dx[/tex]
thus substitute:
[tex] \displaystyle \int( 1 - {u}^{2} )du[/tex]
apply substraction integration and:
[tex] \displaystyle \int 1du - \int {u}^{2} du[/tex]
use constant integration rule:
[tex] \displaystyle u - \int {u}^{2} du[/tex]
use exponent integration rule:
[tex] \displaystyle u - \frac{ {u}^{3} }{3} [/tex]
back-substitute:
[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} [/tex]
finally we of course have to add constant of integration:
[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]
A plane travels at a speed of 690 feet per second. How many feet will passengers travel on the plane in one minute?
Answer:
41,400 ft per second
Step-by-step explanation:
1 minute is 60 seconds.
x = ft per second
Ratio:
[tex]\frac{690}{1} =\frac{x}{60} \\\\x=41400[/tex]
If the cost of 4 1/2litres of milk is 89 1/2rupees, find the cost of 1 litre of milk. Pls explain too
Answer:
x=19.88
Step-by-step explanation:
Okay, let's try and create a "table" of what we know, and what we are looking for.
4.5 litres of milk cost 89.5 rupees
1 litre costs x rupees
Obviously, we are looking for x.
The method I'm about to tell you, might be familiar. Imagine that there was a giant X where the words cost and costs are above. There'd be a line connecting 4.5 litres of milk with the rupees we are looking for, and another line connecting 1 litre with the 89.5 rupees.
If we were to form an equation to solve for x, we'd put the connecting terms together, with an "=" between them, so we'd have this:
4.5*x=1*89.5
That's our equation, so let's solve for x.
x=89.5/4.5 => x=19.88 , let's say 20 rupees
Please help me find the volume of these figures. (Geometry)
Answer:
45.) 49.) V=LBH
Step-by-step explanation:
V= 15
5*3*1=15
V= 891
11*9*9
20 points and brainliest pls help!!!
Answer:
t=20
Step-by-step explanation:
If a haunted house was open for 15 days and 200 people paid 10 dollars to enter the attraction of those days, how much money would you make?
Answer:
30000
Step-by-step explanation:
200x10x15=30000
Find the length of the missing side. Round to the nearest tenth.
Find the length of the missing side. Round to the nearest tenth.
Answer:
Step-by-step explanation:
hey watch it fatty
The product of two numbers is 36.
The sum of the numbers is 13.
What are the two numbers?
Which best compares the volumes of pyramid X and pyramid Y?
A. The volumes of X and Y are equivalent.
B. The volume of X is half the volume of Y.
C. The volume of Y is half the volume of X.
D. The volume of X is 10 times the volume of Y.
Answer:
The pyramid X has a square base with base length of 5 cm, base width of 6cm and makes a 90 degree angle with the pyramid height. A pyramid Y has a triangular base with 2 sides measuring 7.5 cm and 8 cm respectively.
Answer:
The volumes of X and Y are equivalent.
Step-by-step explanation:
What is the volume of the trapezoidal prism with a height of 10 cm, base lengths of 3 and 4 cm, base height of 2 cm?
Given:
Height of a trapezoidal prism = 10 cm
Base lengths are 3 and 4 cm.
Base height = 2 cm
To find:
The volume of the trapezoidal prism.
Solution:
Base area of a trapezoidal prism
[tex]B=\dfrac{a+b}{2}\times h[/tex]
Where, a,b are base lengths and h is the base height.
Putting [tex]a=3,b=4,h=2[/tex], we get
[tex]B=\dfrac{3+4}{2}\times 2[/tex]
[tex]B=7[/tex]
The volume of a trapezoidal prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Putting [tex]B=7,h=10[/tex], we get
[tex]V=7\times 10[/tex]
[tex]V=70[/tex]
Therefore, the volume of the trapezoidal prism is 70 cubic cm.
(135). I buy 7 CDs costing £5.99. How much change do I get from £50?
Answer:
8.07, excluding taxes.
Step-by-step explanation:
7x5.99 = 41.93
50-41.93 = 8.07
Angle E and angle H are supplementary. If angle E has a measure of 156 degrees, find the measure of angle H
Answer:
24 degrees
Step-by-step explanation:
Supplementary angles sum up to give 180°
E + H = 180°
156 + H = 180
H = 180 - 156
H = 24°
An equation is given A =
4 π r^2
Answer:
D
Step-by-step explanation:
A = 4 π r^2
A/(4π) = r^2
r = sqrt(A/(4π))
Answer:
D
Step-by-step explanation:
Given
A = 4πr² ( divide both sides by 4π )
[tex]\frac{A}{4\pi }[/tex] = r² ( take the square root of both sides )
[tex]\sqrt{\frac{A}{4\pi } }[/tex] = r → D
The fifth term in the expansion of (n + 3)6
Answer:
Step-by-step explanation:
i am assuming this is (n+3)^6 if so
729+1458x+1215x^2+540x^3+135x^4+18x^5+x^6
the fifth term is 135x^4
The fifth term of the expression (n + 3)⁶ is 1,215n².
What is binomial theorem?An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem.
The given expression is,
(n + 3)⁶.
To find the fifth term in the expression,
Use binomial expansion method,
[tex](x+y)^n = ^{n}C_0 x^nny^0 + ^nC_1 x^{n-1}y^1 + ^nC_2 x^{n-2} y^2 + ...[/tex]
Use the binomial formula for expression (n + 3)⁶,
[tex](n+3)^6 = ^6C_0n^63^0 + ^6C_1n^53^1 + ^6C_2n^43^2 +^6C_3n^33^3 + ^6C_4n^23^4 + ^6C_5n^13^5 + ^6C_6n^03^6[/tex]
The fifth term of the expression is [tex]^6C_4n^23^4[/tex].
The term [tex]^6C_4n^23^4[/tex] can be simplified as,
[tex]^6C_4n^23^4[/tex] = 15 x n² x 81 = 1215n².
The fifth term of the expression (n + 3)⁶ is 1,215n².
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Please help!!!!!!!!!!!!!!!!!!!!!!!!!! ASAP!!!!!!!
0.8333 and 0, which of these are are rational numbers? Please explain in the space below.
Answer:
0 is the rational number
Step-by-step explanation:
Yes, 0 is the rational number. Since we know, a rational number can be expressed as p/q, where p and q are integers and q is not equal to zero. Thus, we can express 0 as p/q, where p is equal to zero and q is an integer.
Answer:
I think 0.8333
Step-by-step explanation:
a rational number has decimals which terminate or repeat,so 0.8333 has decimals which are repeating
The number (√5+2)/(√5-2)
is:
(a) a rational number
(b) an irrational number
(c) an integer
(d) a natural number
Answer:
b: irrational
Step-by-step explanation:
(√5+2)
-------------- is given.
(√5 - 2)
If we multiply numerator and denominator by (√5+2), we succeed in removing the square root symbol from the denominator:
(√5+2)(√5+2)
---------------------
(√5+2)(√5- 2)
and the denominator becomes 5 - 2, or 3. The denominator is now rational, but the numerator still involves the square root symbol, so overall the given number is irrational.
Show your work Please!
Answer:
5) 268.08cm
6)1150.35mi
7)33.51in
8)904.78yd
Step-by-step explanation:
5) V= 4/3πr^3
V=4/3π4^3
V=268.08257
6) r=1/2d
r=1/2(13)
r=6.5
V= 4/3πr^3
V= 4/3π 6.5^3
V=1150.3465
7) V= 4/3πr^3
V= 4/3π 2^3
V=33.510
8)V= 4/3πr^3
V= 4/3π 6^3
V=904.778
2. Mercury High School is requiring students to purchase parking permits this year in order to
use campus parking lots. It costs the school a one-time fee of $500 to have the logo
designed. It also costs $2 per permit to print and cut out each one. They expect the average
cost of each permit to be $6.
a. Write a rational equation that describes the situation above.
b. How many parking permits does Mercury High School need to sell in order for the
average cost of a student's parking permit to be $6? Solve your equation from part (a)
to answer the question. Justify your solution as it relates to the context.
Answer:
a. $6 = ($500 + $2q) / q
b. 125
Average cost = ($500 + $2q) / q
($500 + $2x 125) / 125 = $6
Step-by-step explanation:
Average cost = total cost / quantity produced
total cost = fixed cost + variable cost
Fixed costs are costs that do not vary with output. e.g. the cost of the logo
Variable costs are costs that vary with production e.g. cost of printing and cutting
Variable cost = $2 x quantity of parking ticket sold
let q = quantity of parking ticket sold
variable cost = 2q
$6 = ($500 + $2q) / q
to determine the number of parking ticket to be sold for average cost to be $6, take the following steps
Multiply both sides of the equation by q
6q = 500 + 2q
collect like terms
6q - 2q = 500
4q = 500
q = 125
125 tickets have to be sold for average cost to the $125
to justify the answer, replace 125 in the first equation to confirm if $6 would gotten as the average cost
($500 + $2q) / q
($500 + $2x 125) / 125 = $6
A spinner is divided into 12 equal sections numbered 1-12. What is the probability of landing on a section with a number that is LESS THAN 7?
manuela wants to make a cube from construction paper . if she cuts out the design below and folds it to make a cube , what will be the surface area of the cube?
25 cm2
70 cm2
125 cm2
150 cm2
Answer:
150 cm2
Step-by-step explanation:
one square would simply be base x height our base is 5 and height is 5 so i multiply that and get 25 since this is a cube all sides are equal so I will simply just multiply 25 by the number of sides since a cube has 6 sides our equation to get the answer would be 25 x 6 = 150 so 150 is our answer! Hope this is a good explanation! Have a good day!
can someone help me to solve the first problem only please I will mark you the brainly helpful answers pls!
Answer:
When 2 lines are parallel, the sum of interior corresponding angles = 180
120 + b = 180
b = 180 - 120 = 60
a + 30 = 180
a = 180 - 30 = 150
In the figure shown
A) 4
B)12
C)26
D)34
HELP ASAP WILL MAKE BRIANLIEST
Answer:
C
Step-by-step explanation:
x+8+2x+4=90
3x+12=90
3x=78
x=26
Suzanne pours 260 mL of milk into her glass.
Which expression shows how Suzanne could find this amount of milk in liters?
Answer:
1 L = 1000 mL
Step-by-step explanation:
B. 260 × 100
Find m
160
260
50
80
The equation y=36x represents the relationship between x the number of yards and y the number of inches.
Which ordered pair represents the number of yards and number of inches?
(2,72) (4,40) (5,180) (40,4) (72,2) (180,5)
Answer:
(2 , 72) and (5 , 180)
Step-by-step explanation:
Options A (2 , 72) and C (5 , 180) will be the correct options.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
we are Given equation representing the relation between two variables 'x' and 'y' is,
y = 36x
Here, y = yards and x = inches
Now Satisfy this equation with each point given in the question;
Option A. (2, 72)
72 = 36 × 2
72 = 72
This is True
Option B. (4, 40)
40 = 36 × 4
40 = 144
This is False
Option C. (5, 180)
180 = 36 × 5
180 = 180
This is True
Option D. (40, 4)
4 = 36 × 40
4 = 1440
This is False
Option E. (72, 2)
2 = 36 × 72
2 = 2592
This is False
Option F. (180, 5)
5 = 36 × 180
5 = 6480
This is False
Therefore, Options (A) and (C) will be the correct options from all the other
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