The probability of getting tails on the coin and an even number on the number cube is 1/4
What are probabilities?Probabilities are used to determine the chances, likelihood, possibilities of an event or collection of events
How to determine the probability?The sample space of a coin is:
S = {H, T}
The sample space of a die is:
S = {1, 2, 3, 4, 5, 6}
The above means that:
A coin has 2 faces, one of which is the tail.
So, we have:
P(Tail) = 1/2
A number cube has 6 numbers, 3 or which are even.
So, we have
P(Even) = 3/6
The required probability is
P = P(Tail) * P(Even)
This gives
P = 1/2 * 3/6
Evaluate
P = 1/4
Evaluate the quotient
P = 0.25
Hence, the probability of getting tails on the coin and an even number on the number cube is 1/4 or 0.25
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Which linear inequality best represents the graph?
Answer:
[tex]3x - 4y \geqslant - 12[/tex]
Step-by-step explanation:
[tex]3x - 4y \geqslant - 12[/tex]
[tex] - 4y \geqslant - 3x - 12[/tex]
Y <= 3/4X +3
Can someone explain how to do this?
i cant give you the answer but i know how u can figure it out, go to g00gle calculator or look up "Algebra Calculator"....you wont regret it!!!
you have to try to find a fraction that is similar to the first. so 7/14 and 5/10, 6/12, 4/8, 3/6, 2/4, 1/2, so on and so forth. so x can equal any number related to 7/14.
someone please help
Answer:
x = 4√3, or approximately 6.93
Step-by-step explanation:
This is a right triangle with hypotenuse 13 and side lengths x and 11. According to the Pythagorean Theorem, x^2 + 11^2 = 13^2 = 169, or
x^2 + 121 = 169, or
x^2 = 48.
x must be a positive quantity. Thus, x = +√48 = + √3·√16 = +4√3
Thus, x = 4√3, or approximately 6.93
Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and one 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink?
Complete Question
Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink
Answer:
The cost of
1 donut = x = $0.50
300ml carton of juice = y = $0.50
Step-by-step explanation:
Let the cost of
1 donut = x
300ml carton of juice = y
Max buys six donuts and a 300ml carton of juice for $3.50
6x + y = 3.50.....Equation 1
y = 3.50 - 6x
Susie buys four donuts and two 300ml carton of juice for $3.00
4x + 2y = 3...... Equation 2
Ben buys eight donuts and one 300ml carton of juice for $6.50
8x + 5y = 6.50......Equation 3
We substitute 3.50 - 6x for y in Equation 2
4x + 2y = 3...... Equation 2
4x + 2(3.50 - 6x) = 3
4x + 7 - 12x = 3
Collect like terms
4x - 12x = 3 - 7
-8x = -4
x = -4/-8
x = $0.50
Solving for y
y = 3.50 - 6x
y = 3.50 - 6(0.50)
y = 3.50 - 3.00
y = $0.50
Therefore:
The cost of
1 donut = x = $0.50
300ml carton of juice = y = $0.50
Mrs. Trotta drives a total of 378 miles over 6 days. She drives the same amount of miles each day. How many miles does Mrs. Trotta drive each day?
Answer:
63 miles per day
Step-by-step explanation:
The miles she drove: 378
Number of days: 6
Solve:
378/6= 63
Check your math:
63*6=378
Hope this helps!
secA-tanA/secA+tanA=cos^2A/(1+sin^2A) could somebody prove this pls......
9514 1404 393
Answer:
it cannot be proven
Explanation:
You cannot prove what isn't true.
We know you know how to use parentheses, so we take the left-side expression at face value. The left-side and right-side functions are different, so cannot be proved to be the same, except at specific angles.
Write a function rule to describe this statement-
A model is %60 of the size of the real item.
Answer:
let the size of the real item be x
then the size of model as prodived will be =
60% of X
60/100 × X
=3X/5 .
The art club is designing a rectangular mural for the school hallway. Three
corners are located at (-1,-1),(-1, 1), and (4.1) on a coordinate plane. Find the
fourth vertex and graph the rectangle on the coordinate plane below.
Fourth vertex:
Answer:
The coordinates are (50, 103)
Step-by-step explanation:
The three hallways are AB, BC, CD.
The co-ordinate of D is (50, 75).
The school's flagpole is 28 meters right of the point D.
Hence the y-coordinate for the flagpole will be same as D, that is 75.
The x-coordinate will be (28 + 75) = 103.
The location of the school's flagpole will be represented by (50, 103)
The 4th vertex of the rectangle is given by D ( 4 , -1 ) and the graph is plotted
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as S
Let the rectangle be represented as ABCD
The coordinates of A = A ( -1 , -1 )
The coordinates of B + B ( -1 , 1 )
The coordinates of C = C ( 4 , 1 )
So , the length of the rectangle = 4 units
The width of the rectangle = 2 units
So , the area of the rectangle S = 4 x 2 = 8 units
And , the 4th vertex of rectangle D = D ( 4 , -1 )
Hence , the coordinate D of rectangle is D ( 4 , -1 )
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Elan took his cat and dog to the vet, his cat weighed 482 pounds, and his dog weighed 158 pounds, how much pounds did his dog weigh?
PLS HELP QUICK !!!!!!!
what is the area of this figure?
Answer:
... what figure?
Step-by-step explanation:
you forgot to add a picture
Answer:
ummmm what...?........
Your store cost on a dozen eggs is $0.75, and your retail price is $2.99. You are having a promotion that discounts the
eggs 10%. What is your margin on the discounted eggs?
Answer:
$1.94
Step-by-step explanation:
The Margin on the discounted eggs is $2.392.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Store cost on a dozen eggs is $0.75,
and retail price is $2.99.
The amount of discount is 10%
Discount given on $2.99
= 10% of 2.99
= 0.1 x 2.99
= 0.299
Cost of eggs after discount =2.99-0.299= 2.691
So, The discounted eggs costs $2.691.
Hence, The difference in store cost and discounted cost = 2.691- 0.299
= $2.392
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Suppose that the height H of a Ferris wheel can be modeled by the function H(A=-16cos(pi t/45)+24 where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for pi
Answer:
Step-by-step explanation:
Range of cosine is -1 to 1
Range of height is 8 to 40
‼️help please.‼️What is the slope-intercept equation of the line with a slope
4
of and a y-intercept of 3?
5
Answer:
C
Step-by-step explanation:
according to the standard equation;
Y=mX+C
or, Y=4/5X +3
The length and breadth of a rectangular room are 5m and 3.2m. Find the cost carpeting the room at the rate of $500 per square metre
Which relation is a function?
{(3, 4), (3, 3), (1, 2), (1, 5)}
{(1, 4), (1, 3), (1, 2), (1, 1)}
{(1, 3), (2, 6), (3, 9), (4, 12)}
{(3, 4), (2, 4), (5, 1), (3, 5)}
Answer:
the 3rd one
Step-by-step explanation:
because it's in a pattern
Answer:
3rd.
Step-by-step explanation:
uhh- well uh i need help and it would be lovely if ya’ll helped ty very much
Answer:
x + 3 = y
Step-by-step explanation:
Hope that helps!
eliminate the parameter in the equations x=5cos(t) -7 and y=5sin(t)+9. how can the rectangular equation be described?
circle
ellipse
parabola
hyperbola
Answer:
the answer is A
Step-by-step explanation:
The parameters represent a circle with a radius of 5 units, centered at (-7,9) and the equation of the circle is (x + 7)² + (y - 9)² = 5².
Deducing the figure from the parameters:The given equations are:
x = 5cos(t) - 7, and
y = 5sin(t) + 9
if we rearrange the above equations we get:
(x + 7) = 5cos(t), and
(y - 9) = 5sin(t)
Taking square of both equation we get:
(x + 7)² = 25cos²(t), and
(y - 9)² = 25sin²(t)
Now, adding the equations we get:
(x + 7)² + (y - 9)² = 25cos²(t) + 25sin²(t)
(x + 7)² + (y - 9)² = 25
(x + 7)² + (y - 9)² = 5²
This is an equation of a circle with a radius of 5 units and the center at (-7,9)
since, the equation of a circle with radius R units and centered at (a,b) is given by:
(x -a)² + (y - b)² = R²
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I NEED HELP PLS ASAP
can some one write a system for all of these? it would really help me rn :(
Answer: 36 and 56
Step-by-step explanation: the sum of two numbers translates into x + y = 92
If the difference would be 0 then the numbers would be equal.
Just choose which number you want to be bigger. If x is bigger then x - y = 20. If y is bigger then y - x = 20.
Let’s make x bigger so x-y=20. You can go two ways with this.
Either x=20+y because when passing one term from one side to the other you can change the sign.
Or y=x-20 because you pass “-y” to the right and it’s becomes “y” and you pass 20 to the left and it becomes -20.
Let’s go with y=x-20.
Now we replace this in the other relation:
X + Y = 92
X + (x-20) = 92
X + X - 20 = 92
2x - 20 = 92 ==> 2x = 92 + 20 ==> 2x = 112 ==> 112/2 ==> x=56
Y = x - 20 ==> y = 56 - 20 ==> y = 36.
If you choose x=20+y and replace x in the other relation you’ll find out y first and only after that you’ll find x.
Hope this helps☺️
Five friends share 6 snacks equally.
How many fruit snacks will each friend get?
Answer:
A
Step-by-step explanation:
Plzzzzz help need fast if cannn plzzz
Answer:
D) 2.1
Step-by-step explanation:
HOPE IT HELPS YOU
YOU CAN MARK ME AS BRAINIEST IF YOU WANT
Answer: 2.1 I think please don’t be mad if I’m wrong
Step-by-step explanation:
Write the equation of the line that passes through (4, -6) and (8, 10)
Answer:
Line equation: y=4x−22
Slope: 4
Intercept: -22
Step-by-step explanation:
Drop the answer- or i'll drop ur ip peanuts :) <3
Step-by-step explanation:
-18x -14 = - 68
=> -18x = -68 + 14
=> -18x = -54
=> 18x = 54. ['-' on both sides gets cancelled]
[tex] = > x = \frac{54}{18} [/tex]
=> x = 3 (Ans)
HELP PELASE ASAPppppp
Answer:
Part 1 d/a = a/f
d/b = b/c
e/c = c/f
Explanation:
The triangles are similar.
This is about equal proportion. Look at the relationship between the short leg to the hypotenuse, short leg to long leg, and long leg to hypotenuse.
Part 2:
78
Explanation:
Calculate x, then substitute to get the lengths of the sides. Given equal angles, the two sides are equal.
5x –19 = 2x +11
3x = 30
x= 10
5(10) –19 = 31
2(10) + 11 = 31
Add the three sides: 31 +31 +16 = 78
Part 3:
Sin A= Cos B. both are a/b
Sin C= Cos A both are c/b
Sin C = c/b
Explanation:
Remember S=o/h, C=a/h , T=o/h
Look at the relationship of the sides to the angles given. If the sides match, the statement is true.
Sine of angle A is side a to side b. This is opposite/hypotenuse
Cosine of angle B is side a to side b This is adjacent/hypotenuse.
The lengths a and b are used in both. The hypotenuse don't change, but whether a side is considered an opposite or an adjacent depends on which angle you are looking at.
This can be confusing, but the more you practice, the easier it gets.
I hope this helps!
Marsha went shopping at Best Buy and spent $75.25. If the sales tax was 8.75%, how much was her total bill?
Answer:
The answer is 81.834375
Step-by-step explanation:
Hope this helps
Answer:
$81.83
Step-by-step explanation:
Amount spent: £75.25
Sales tax: 8.75%
1% of 75.25 = 0.7525
0.7525 x 8.75 = 6.584375
75.25 + 6.584375 = 81.834375
As this question involves money it needs to be rounded to 2 decimal places:
$81.83
Raon has a pitcher that holds three and seven-hundredths liters of orange juice.
If he divides the juice equally into ten glasses, how many liters of juice will be in each glass?
Choose all the correct answers
0.307
3 x 1 x 7 x 1/100
3 x 1/10 + 7 1/1000
3 x 100 + 7 x 1/ 1000
3.07
3 x 1/10 + 7 x 1/100
Answer:
A
Step-by-step explanation:
Which angle in the graph is vertical to ABI?
the angle that is vertical to ABI is EBH
Explain how I would use Distributive Property (GCF) to factor the following expression: 4m + 16
Answer:
4(m+4)
Step-by-step explanation:
4m+16
Rewriting
4*m + 4*4
Factor out 4
4(m+4)
Find the solution of the system of equations.
6x+y=30
−2x−5y=18
Answer:
Step-by-step explanation:
6x + y = 30
-6x - 15y = 54
-14y = 84
y = -6
6x - 6 = 30
6x = 36
x = 6
(6, -6)
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
2, 11, 20, ...
Answer:
arithmetic, 9, 1.8181818181818
Step-by-step explanation:
it is arithmetic, because it is adding by 9 every time.
I don't know what they mean by simplist form, but thats what 20/11 equals.
Answer:
yes yes wainth inde Windows