What is the probability that an event is certain to occur?
Answer: 1
Explanation: An event whose occurrence is 100% sure, those events are called certain events.
The probability of such an event is always 1.
Example: The probability of getting a number between 1 to 6 when rolling a die is a certain event.
What is the equation of the line that passes through (-12,6) and (-6,1)?
Find the area of the shaded regions:
Answer:
18[tex]\pi[/tex]
[tex]\frac{80}{360} * 81 \pi[/tex]
Step-by-step explanation:
At the city museum, child admission is and adult admission is . On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of . How many child tickets were sold that day
Complete question :
At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?
Answer:
33 children ticket
Step-by-step explanation:
Let :
Number of Child admission = x
Number of Adult admission = y
On Wednesday ;
y = 3x
9.80y + 6.30x = 1178.10
9.80(3x) + 6.30x = 1178.10
29.40x + 6.30x = 1178.10
35.70x = 1178.10
x = 1178.10 / 35.70
x = 33
How many liters of a 10% alcohol solution must be mixed with 40 liters of a 50% alcohol
solution to obtain a 40% alcohol solution?
Answer:
13 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]20+.1x=.4\left(40+x\right)[/tex]
x=40/3 = 13 [tex]\frac{1}{3}[/tex]
Express as -80/112 as a rational: numerator = -5
Answer:
-80\112 = -5\7
we divided both numbers by 16
Classify the triangle as acute, right, or obtuse and as equilateral, isosceles, or scalene.
9514 1404 393
Answer:
(d) Right, scalene
Step-by-step explanation:
The little square in the upper left corner tells you that is a right angle. Any triangle with a right angle is a right triangle. This one is scalene, because the sides are all different lengths.
__
Additional comment
An obtuse triangle cannot be equilateral, and vice versa.
An equilateral triangle has all sides the same length, and all angles the same measure: 60°. It is an acute triangle.
I have two identical dice with the numbers
-1, 2, -3, 4, -5 and 6
I roll my dice and work out my total.
Which of the following totals cannot be achieved?
a) 3
b) 7
c) 8
Answer:
7 cannot be achieved
-1 + 6 = 5
-3 + 4 = 1
-5 + 2 = -3
as you can see, no combinations can form seven
I neeeeddddd helppppp !!!!! It’s urgenttttttt
х=10
I'm so sorry, i don't know how it's called (because English isn't my native language) but there are angles that have the same value
maybe u'll tell me..
Use the Diagram to find BC.
Answer:
Step-by-step explanation: you have to ask your parents for help
Select the correct answer from the drop-down menu.
Z1 = 4cis (pi/2) and Z2=3cis(3pi/2)
The product of Z1 and Z2 is
Answer:
z₁ × z₂ = 12·cis(2·π)
Step-by-step explanation:
z₁ = 4·cis(π/2), z₂ = 3·cis(3·π/2)
We have;
z₁ = 4·cis(π/2) = 4·(cos(π/2) + i·sin(π/2))
z₂ = 3·cis(3·π/2) = 3·(cos(3·π/2) + i·sin(3·π/2))
According to De Moivre's Theorem,
z₁ × z₂ = 4×3×(cos(π/2 + 3·π/2) + i·sin(π/2 + 3·π/2)) = 12·(cos(2·π) + i·sin(2·π))
∴ z₁ × z₂ = 12·cis(2·π)
a, 0,03m3=............ dm3=...........cm3
Answer:
0.03 m³ = 30 dm³ = 30000 cm³
Find the area of the shaded region. Use 3.14 for at as necessary. PLEASE HELP ASAP!!
A. 53.5cm^2
B. 132 cm^2
C. 26.8 cm^2
D. 17.1 cm^2
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Answer:
A. 53.5cm^2
Step-by-step explanation:
The area of the circle is ...
A = πr²
A = 3.14(5 cm)² = 78.5 cm²
The area of the triangle is ...
A = 1/2bh
A = 1/2(10 cm)(5 cm) = 25 cm²
The shaded area is the difference between the circle area and the triangle area:
shaded = 78.5 cm² -25 cm² = 53.5 cm²
_____
Additional comment
As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).
The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.
Answer:
A.) 53.5 cm2
Step-by-step explanation:
I got it correct on founders edtell
A 9-pack of golf balls costs $8.74. What is the unit price, rounded to the nearest cent?
per golf ball
Answer:
0.97 per ball
Step-by-step explanation:
Take the total cost and divide by the number of items
8.74 /9
0.97111
Rounding to the nearest cent
0.97
By how much is 9966004321 larger than 1 billion
9966004321 is larger than 1 billion by 9,866,004,321.
What is comparison of two numbers?Comparison of numbers defines the similar properties between two numbers, and the number is larger than, smaller than or equal to another number.
What is "how much larger" in math?In Math " how much larger " indicates that we have to find the difference. So, we subtract the smaller value from the larger value.
According to the given question
We have number 9966004321
1 billion = 1,000,000,000
So, for finding how much 9966004321 is larger than 1 billion we will subtract 1 billion from 9966004321.
Therefore,
9966004321 - 1,000,000,000 = 9,866,004,321
Hence, 9966004321 is larger than 1 billion by 9,866,004,321.
Learn more about comparison of two numbers here:
https://brainly.com/question/17329628
#SPJ2
Solve the system of equations below by graphing both equations with a pencil
and paper. What is the solution?
y = x+1
y=-3x+4
Answer:
Option (C)
Step-by-step explanation:
System of the equations have been given as,
[tex]y=x+1[/tex] --------(1)
[tex]y=-\frac{1}{2}x+4[/tex] -------(2)
Substitute the value of y from equation (1) to equation (2),
[tex]x+1=-\frac{1}{2}x+4[/tex]
[tex]x+1=-\frac{1}{2}x+4[/tex]
[tex]x+\frac{1}{2}x=4-1[/tex]
[tex]\frac{3}{2}x=3[/tex]
[tex]x=2[/tex]
Substitute the value of 'x' in equation (1),
[tex]y=2+1[/tex]
[tex]y=3[/tex]
By using a graphing utility, graph of the equations that will intersect each other at a point (2, 3).
Therefore, solution of the system of equations will be [tex](2,3)[/tex].
Option (C) will be the answer.
Answer:
(2,3) C
Step-by-step explanation:
Solve using y = mx + b and graph!
A water butt contains 512.6
liters of water when full. It is
80% full. Daniel is using a
small bucket to empty the
butt. The bucket holds
525ml of water. How many
small buckets can be
completely filled by the water in the butt?
Answer:
u can solve ur self but let me help you
Step-by-step explanation:
simply:subtract 525ml from 512.6 liters
Can someone please explain how to do this? You don't have to answer the questions but If you can give me an explanation/formula to solve. it would help me a lot thank you. marking brainliest when I can.
Answer:
a. The 1's are heavier than the x's. There isn't a whole number on top of the x's.
b. The equation would be 2x<9 because the 9 is greater(heavier) than the 2x. To continue to solve you would divide 2 by both sides. That would turn into x<9/2.
Step-by-step explanation:
there are 160 girls and 240 boys in a school
i. find the percent of girls in the school
ii. find the percent of boys in the school.
Answer:
girls = 40%
boys = 60%
Step-by-step explanation:
Girls = 160
boys = 240
total students = 160+240
= 400
so,
percent of girls = (160/400)×100%
= (2/5)×100%
= 2×20%
= 40%
so,
percent of boys = 100% - 40%
= 60%
Find the value of x and found to the nearest degree help ASAP
Answer:
22
Step-by-step explanation:
sin(X) = perpendicular/base
sin(X) = 7/19
X=arcsin(7/19)=22
Tìm nghiệm của đa thức sau:2x mũ 2-5x-3
hello! HELP NEEEDED!!!!!!!!!!!
Answer:
$2.50
Step-by-step explanation:
Sally pays 2.5 lbs of chuck for 6.25. We need to convert this to 1 pound, to see how much money it take to equal 1 pound .
Set up proportion.
[tex] \frac{1}{x} = \frac{2.5}{6.25} [/tex]
[tex]2.5 x = 6.25[/tex]
[tex]x = 2.5[/tex]
it takes 2 dollar and 50 cents for 1 lb of ground chuck
Answer:
$2.50
Step-by-step explanation:
In my theory, I suppose that the key word to look at is "per"in the question above. All you need to do is to is to divide $6.25 with 2 1/2 lb
find the missing side.
Answer:
I htink x ≈ 8
Step-by-step explanation:
Answer:
X is approximately 7.8.
Step-by-step explanation:
You can use SOH-CAH-TOA to help figure out what function (sin, cos, tan) you need to use in order to figure out the missing side.
For this one, we can see the angle is pointing to the opposite side (x length), and we have been given the hypotenuse (18). So we want to use the sin function.
[tex]sin\ (angle)=\frac{opposite}{hypotenouse}[/tex]
[tex]sin (26)=\frac{x}{18}[/tex]
[tex]0.438=\frac{x}{18}[/tex]
[tex]7.890... = x[/tex]
Using Pythagorean theorm, you can figure out the other side if need be :)
For reference:
[tex]sin (angle)=\frac{opposite}{hypotenuse}[/tex]
[tex]cos(angle)=\frac{adjacent}{hypotenuse}[/tex]
[tex]tan(angle)=\frac{opposite}{adjacent}[/tex]
Solve the system using multiplication for the linear combination method.
6x – 3y = 3
-2x + 6y = 14
What is the solution to the system?
Answer:
(2, 3)
Step-by-step explanation:
Can someone please help?
Answer:
1.
C. 6561 is the answer that the table represents
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 8, 9 ] , then
Continuing the table from x = 6 , multiplying values of y by 3
x y
6 729
7 2187
8 6561
9 19683
f(b) = f(9) = 19683
f(a) = f(8) = 6561
average rate of change = [tex]\frac{19683-6561}{9-8}[/tex] = [tex]\frac{13122}{1}[/tex] = 13122 → B
I need help plz someone help me
Answer:
N'=(0, 0)
K'=(4,4)
I'=(4, 0)
Find the exact value of the indicated trigonometric function for the acute angle a:
Given: sin a=5/13, Find: cos a and tan a
Answer:
cos a = 12/13
tan a = 5/12
You use these properties to solve the question,
sin²a+cos²a=1
tana=sina/cosa
The cost of a pen is three times and Rs 4 more than the cost of a pencil. If three pencils and two pens cost Rs 71, find the cost of each item.
Answer:
1.
= Here,
cost of pen = 3+4 ( x ) = 7x
costs of two pen = 7x
cost of three pencils = 71 - 7x = 64x
cost of 1 pencil = 64/3
= 21.333334
c
I honestly have no clue how to do trig, I need help.
Answer: x= 437.3 ft.
Step-by-step explanation:
Let the angle side at 29 be n
so
n+29 = 90
so, n = 61
now
sin 61= p/h
sin 61 = x/500
so, x = sin 61*500
so, x = 437.3
Please help me solve this short problem today is my last day to complete these
Answer:
shift of 1 unit to the right
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Given the parent function is y = x² , then
y = (x - 1)² is a shift to the left of 1 unit of the parent function