How likely something is to occur is known as its probability.Probability when die rolled 1st time is 6C1 i.e. (1,2,3,4,5,6).
Find the probability ?How likely something is to occur is known as its probability.We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics describes the examination of events subject to probability.
Probability when die rolled 1st time=6C1 i.e. (1,2,3,4,5,6) suppose 1 comes, then 2nd time it should not be .as it is given that no 2 people will roll same number.
so 2nd time probability=5C1 i.e. (2,3,4,5,6). same way 3rd and 4th time probability=4C1 and 3C1 respectively.Probability that no one rolls the same no. = 6*5*4*3and total possibility =6^4
p(same number)= 6*5*4*3/ 6^4
= 5/18
p(no same number will roll)=1-5/18
=13/18
To learn more about probability refer
https://brainly.com/question/25870256
#SPJ4
Solve the problem as directed. The volume of a right circular cone varies jointly as the altitude and the square of the radius of the base. If the volume of the cone is 154 cubic inches when its altitude is 12 inches and the radius of the base is 3 1 2 312 inches, find the altitude when the volume of the cone is 77 cubic inches and the radius of the base is 2 1 3 213 inches. (Put your response in decimal form.) Altitude
The altitude of the right circular cone is 13.5 inches.
What is volume?
Volume is a term used in mathematics to describe the volume of three-dimensional space occupied by an object or a closed surface. The measurement of volume is done in cubic units, like m3, cm3, in3, etc. Volume is also referred to as capacity on occasion.
Here, the volume of a right circular cone varies jointly as the altitude and the square of the radius of the base
So our equation for volume becomes
V = c*h*r^2
where 'h' is altitude and
'r' is radius of base and
'c' is constant
Putting the values of V, h, r, in the volume equation.
we get,
154 = c*12*3.5*3.5
c = 22/21
Now we have volume = 77 cu and radius of the base =7/3, so putting the values we get,
77 = 22/21*h*7/3*7/3
or, h = 13.5 inches
Hence, the altitude of the right circular cone is 13.5 inches.
To know more about volume, click on the link
https://brainly.com/question/463363
#SPJ4
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Im taking an algebra exit exam that I need for high school, tips on what to study or do?
Is 2x 3y linear equation?
Therefore .as a result the supplied linear equation problem's solution is shown to be a linear equation with two variables.
Define a linear equation.Any model that meets the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both y and x are distinct factors, the preceding sentence is commonly referred as a "mathematical model with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations, all of which end in zero. If an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept, it is classified as linear. The equation is written as Y=mx+b, where m denotes the slope and b
Here,
Assumed: 2x + 3Y = 0.
As a result, the following equation can be used to determine whether it is linear in two variables.
As x is the sole variable, as can be seen.
Therefore, it is a two-variable linear equation.
As a result, the supplied linear equation problem's solution is shown to be a linear equation with two variables.
To know more about linear equation visit:
brainly.com/question/11897796
#SPJ1
Adina read 60 out of 100 pages in a comic book.Write the fraction of the pages she read in simplest form
Answer:
3/5 is 60/100 in it's simplest form.
Step-by-step explanation:
60 divided by 20 is 3 and 100 divided by 20 is 5.
So 3/5
(ANSWER QUICKLY PLAESE) Mrs. Rubio collected $5 from
each student and $8.25 from each
chaperone for a field trip. She collected
a total of $176.25. If 5 chaperones went
on the field trip, how many students
went?
Answer:
27 students
Step-by-step explanation:
We know
1 student = $5
1 chaperone = $8.25
5 chaperon = $8.25 x 5 = $41.25
Let's solve
$176.25 - $41.25 = $135
So, we know that the total amount Mrs. Rubio collected from students is $135, then we take
135 / 5 = 27 students
So, 27 students went on the field trip.
Answer:
8.25 × 5 = 41.25
176.25 - 41.25 = 135
5 × x = 135
x = 27
Therefore, 27 students went.
559
8
X
о
10.5
O
55
O
8
O
11.4
Answer:
what is the question?????
can someone please help me ( check the link for the question
The equation of the line that passes through the point (3, 2) and is perpendicular to 3x + 5y = 15 is y = (5/3)x - 3
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the line is y = m(1)x + c
The line passes through (3, 2) and is perpendicular to 3x + 5y = 15.
This means,
3x + 5y = 15
5y = -3x + 15
y = (-3/5)x + 3
m(2) = (-3/5)
Now,
m(1) x m(2) = -1
m(1) = -1 / ((-3/5)
m(1) = 5/3
Now,
(3, 2) = (x, y)
y = m(1)x + c
2 = (5/3) x 3 + c
2 = 5 + c
c = 2 - 5
c = -3
Thus,
The equation of the line is y = (5/3)x - 3.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ1
(WILL GIVE BRAINLIEST IF CORRECT)
Find the equation of the line that passes through (1,3) and is perpendicular to
y=2x+3
Leave your answer in the form
y=mx+c
Answer:
y = -1/2x + 7/2
Step-by-step explanation:
y = -1/2x + b
3 = -1/2(1) + b
3 = -1/2 + b
7/2 = b
y = -1/2x + 7/2
What is the image of (0,2) after the reflection over the line y=x?
Answer:
(0,2) reflected is (2,0)
Step-by-step explanation:
consider the relation below
1.Is the relation A function
2. Is the relation a one to one function
3. Is the inverse of the relation below itself a function
Answers:
Yes it's a function.No, the function is not one-to-one.No, the inverse isn't a function.=============================================
Explanation:
We have a function since the curve passes the vertical line test. Recall that this test is where we try to draw a single vertical line through more than on point on the curve. Such a task isn't possible in this case.
-----------
On the other hand, the curve does not pass the horizontal line test. It is possible to draw a single horizontal line through more than one point on the curve.
This function is not one-to-one since it does not pass the horizontal line test.
------------
Because the graph isn't one-to-one, the inverse won't be a function. The process of finding the inverse involves swapping x and y; which means we swap from "horizontal line test" to "vertical line test".
The original function failing the horizontal line test would mean the inverse fails the vertical line test.
If the original price is 125 pesos and the rate of discount is 25%, how much is the discount? with solution
Answer:
31.25
Step-by-step explanation:
25% * 125 = 25/100 * 125 = 1/4 * 125 = 31.25
Find the area of the figure.
Answer:
Picture Please
Answer:
In order to find area, multiply length x height
Step-by-step explanation:
Or in some cases, you can multiply length x height x width.
Due to delay, a company had to extend a project from 108 day to 137 day. What wa the percentage increae in time to complete the project, round you anwer to the nearet tenth
The percentage increase in project completion time is 26.85%.
What is percent?Percentage is a relative number that represents the hundredth part of any quantity. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount. percentage. Mathematics percentile is a related topic. A percentage is a fraction of a whole represented as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.
Here,
=(137-108)/108*100
=26.85%
The percentage increase in time to complete the project is 26.85%.
To know more about percent,
https://brainly.com/question/29172752
#SPJ4
helppp please last question !!!
Answer:
Step-by-step explanation:
y = 1/4x +10
and why do you use your phone, it makes it sooo much tuffer to read the question. just "prt screen" and paste into paint.. and save as a jpg, and then post that pic.. don't use your phone. :/
find the value of x. round your answer to the nearest tenth.
Answer:
x = 56.7
Step-by-step explanation:
cos theta = adjacent/hypotenuse
cos x = 17/31
x = arccos(17/31)
x = 56.7
plz help filipino words and 3-5 sentences
Step-by-step explanation:
Bagong balita tungkol sa corona virus 19 sa Pilipinas, Ayon sa WHO at DOH mayroong 2.5M na vaccine na ang pinangangasiwaan ang Pilipinas at naitala ring mayroon ng 2.02M ang na bakunahan na indibiduwal.
How many times smaller is 1.2 × 106 than 1.38 × 107?
The number 1.2 × 10⁶ is 11.5 times smaller in comparison to the number 1.38 × 10⁷.
The two given numbers here have been written using the method of powers of 10. In this method, very large or very small numbers are easily simplified and written by denoting the powers of 10. These power are integral in nature. Very large numbers are of the form y × 10ⁿ and very small numbers can be expressed in the form z × 10⁻ⁿ.
In the given problem, we have the numbers 1.2 × 10⁶ and 1.38 × 10⁷ and we have to tell how much the former number is from the latter. For this, we divide the two and easily find our solution. Before this, we have to make the powers of 10 in both numbers the same. We can rewrite the 1.38 × 10⁷ as 13.8 × 10⁶. Now, we divide the two and get-
⇒ 11.5
Learn more about the power system on
https://brainly.com/question/29273648?referrer=searchResults
#SPJ4
Answer: B. 11.5
Step-by-step explanation: I took the test
express -3/5 as the rational number with denominator 20
Answer:
-12/20
hope this helps
have a good day :)
Step-by-step explanation:
Step-by-step explanation:
-3/5*4= -12/20
pls gimme brainliest I need it
Salma's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Salma $5.60 per pound, and type B coffee costs $4.40 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $451.20. How many pounds of type A coffee were used?
Answer: hi
11,28 pound / usd
Step-by-step explanation:
15 In circle F with m/EFG = 78 and EF = 4 units, find the length of arc EG. Round to the nearest hundredth. F G E
Length of arc EG = 5.446 degrees and EG = 0.05446 degrees while written in hundredth.
What means arc length of a circle?Arc length is defined as the distance of two points along the boundary of a circle or a section of a curve. Arc length is not a straight line.
Arc length is calculated by the following formula.
arc length in radians
s = r Ф
where, r is radius of circle or curve
Ф is the central angle in radians
arc length is degrees
s = Ф×π/180 × r
r is the radius of circle
Ф is the central angle in degrees
π = 3.142
How to calculate the arc length in the given problems?given, central angle EFG = 78 degrees.
EF = 4 units
EF is the radius of the given circle
as per the rules of a circle FG is also a radius
FG = FE = 4 units
Now arc length EG = ∠EFG × π/180 × EF
Arc length = 78 × 3.142/180 × 4
=5.446 units
hence, arc length EG = 5.446 units or 5.446 degrees
To know more about arc length of circle visit:
https://brainly.com/question/45288
#SPJ1
s = 40, u
12, mZS = 37
Please answer, don't troll please
Answer: The second one
Step-by-step explanation: Because I said so nons
Herald cut 18 1/2 Inches of a rope that was 60 inches long. How is the length of the remaining rope In inches Written in decimal form?
Answer:
41.5 inches
Step-by-step explanation:
You subtract 18.5 from 60.
When a child flying a kite has let out 60 meters of string, the string makes an angle of 60 degrees. How high is the kite?
Answer:
The height is: [tex]h = 51.96cm[/tex]
Step-by-step explanation:
Given
[tex]L = 60m[/tex]
[tex]\theta = 60[/tex]
Required
The height of the kite
See attachment for illustration.
To calculate height (h), we have:
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
This gives
[tex]\sin(60) = \frac{h}{60}[/tex]
Make h the subject
[tex]h = 60 * \sin(60)[/tex]
[tex]h = 60 * 0.8660[/tex]
[tex]h = 51.96cm[/tex]
help me please i will really appreciate it
Answer:
84 square cm
Step-by-step explanation:
Step-by-step explanation:
You should not photograph where unless you have permission?
A public park
Your backyard
A parade
Into someone's window
Choose three true statements about the angles of the figure
1: Z1 and the 55* angle are adjacent
2: mZ1=55* because Z1 and the 55* angle are vertical angles
3: mZ2=125* because Z2 and the 55* angle are supplementary
4: mZ2 cannot be determined from the information
5: mZ1=180*-55*
6: mZ2=180*-55*-45*
Answer:
2,5,6
Step-by-step explanation:
-Z1 and 55*are vertical angles
-Z1 and 55*are angles on a straight line=180*
this means 180*=55*+Z1
make Z1 subject of the formula- Z1=180*-55*
- mZ2,55*,45* are all angles in the given triangle
since the sum of angles in a triangLe =180*
therefore-180*=Z2+55*+45*
make Z2 the subject of the formulary
Z2=180*-55*-45*
EMERGENCY NEED HELP PLEASE HELP THE QUESTION IS ATTACHED TO THE QUESTION THING PLEASE HELP!!!
Graph of given system of equations is shown in figure with intersection point (2, 4).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The system of equation is,
⇒ 2x + y = 8
⇒ - x + 2y = 6
By solving both equation , we get;
⇒ (x, y) = (2, 4)
Thus, The graph of system of equation intersect on point (2, 4).
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
Help me with this please
Answer:
y = 95
Step-by-step explanation:
x = 180 - 120
x = 60
y + 25 + 60 = 180
y = 95
A rock is dropped from a height of 88.6 m and falls toward Earth in a straight line. In t seconds the rock falls 4.9t2 meters.
Answer:
The average speed is 9.8 meter per second in the first two seconds
Step-by-step explanation:
Complete Question
What is the average velocity of the rock in first 2 secs?
Solution
Distance travelled in first two seconds
[tex]4.9 t^2 = 4.9*2*2 = 19.6[/tex] m
Average speed = [tex]S2-S1/2 = 19.6-0/2 = 9.8[/tex] meter per second