The probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded is 1/22.
What is the probability:The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out.
The outcome of an event may be known to us or unknown to us. When this happens, we indicate that there is a probability that the event will happen or not.
It is also defined as the ratio of the number of favorable outcomes to the total number of outcomes.
The formula for the probability of an event is given by
P(E) = No of favorable outcomes/ Total No of outcomes ]
Here we have
A basket of fruit contains 4 bananas, 3 apples, and 5 oranges.
Total number of fruits = 4 + 3 + 5 = 12
By the given formula,
Probability of selecting 1 banana = 4/12 = 1/3
Probability of selecting 1 apple = 3/12 = 1/4
Probability of selecting 1 orange = 5/12
The order of the fruits that is given is 1 banana, then 1 apple, then 1 orange
Let's assume that,
We taken 1 banana
=> The probability of selecting one banana = 1/3
After taking one banana, remaining fruits = 12 - 1 = 11
Now we have drawn 1 apple
=> The probability of selecting one apple in 11 fruits = 3/11
After taking one apple remaining fruits = 11 - 1 = 10
=> The probability of selecting one orange from 10 fruits = 5/10 = 1/2
From the above calculations,
The probability of selecting in given order = (1/3)(3/11)(1/2) = 3/66 = 1/22
Therefore,
The probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded is 1/22.
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The first equation in the system is graphed below. Graph the linear equation on the coordinate plane and use the Mark Feature tool to place a point at the solution(s) of the system.
Answer:
(0,-7) and (-7,0)
Step-by-step explanation:
Answer:
(4,6) and (-2,6) Then you draw a line between these two points.
Step-by-step explanation:
A number increased by 1 2/3 is equal to 8
Answer:
19/3
Step-by-step explanation:
x+1 2/3=8
1 2/3=5/3
x+5/3=8
x=8-5/3
x=24/3-5/3
x=19/3
Just wanna thank everyone on this app for helping me pass my sophomore year bc without y’all i would be in deep sh*t everyone have a great summer and live it up
Answer:
this app is good
Step-by-step explanation:
yah
26 °
100°
X=
help anyone ?
Answer:
Step-by-step explanation:
26° + 100°
= 126°
360° - 126°
234°
The table shows the number of students going on a field trip one chaperone is needed for every 12 students
Answer:
I'm not sure what equation is needed here. Could you share the table?
Either way, you can take the number of students there are and multiply that to the number of chaperones needed per group of 12- basically see how many groups of 12 you can fit in the overall group of students
1.5x = 3 someone help plz
Answer:
1.5x=3
x=3/1.5
x=2
.....
Answer:
Hello! answer: x = 2
Step-by-step explanation:
1.5 × 2 = 3
therefore x = 2 Hope that helps!
which algebraic expression represents the following phrase "2.5 less than a number d and 4"
The algebraic expression is represented as 4d - 2.5
What is an algebraic expression?An algebraic expression is simply defined as an expression that is composed of coefficients, factors, constants, terms, and variables.
They are also composed of mathematical operations, such as;
AdditionSubtractionDivisionBracketMuitiplicationParentheses, etcFrom the information given, we have that;
The variable = d
The constant = 2.5
The coefficient = 4
This is represented as;
4d - 2.5
Hence, the expression is 4d - 2.5
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I WILL GIVE YOU BRAINLY PLS
Each time a student scores an 80% or higher on a quiz, a teacher puts a raffle ticket
in a jar. At the end of the quarter the teacher draws three tickets. Does EVERY
student in the class have a fair chance of having their name drawn when the teacher
draws the names for the raffle? Why or why not?
To be honest I don't know❤️
x^5 multiplied by x^3 /x^4
Answer:
x^4
Step-by-step explanation:
[tex]x {}^{5} \times \frac{x {}^{3} }{x {}^{4 \\ } } \\ \\ \frac{ {x}^{8} }{x {}^{4} } \\ \\ x {}^{8 \: - \: 4} \\ {x}^{4} [/tex]
THIS IS KINDA HARD I NEED HELP
Answer:
4
Step-by-step explanation:
Looking at the stem and leaf plot, we have 4 zoos that have less than 18 sloths, with one zoo having 3, one having 16, and two having 17.
Which quadratic function is represented by the graph?
f(x) = 0.5(x + 3)(x − 1)
f(x) = 0.5(x − 3)(x + 1)
f(x) = 2(x + 3)(x − 1)
f(x) = 2 (x − 3)(x + 1)
Answer:
f(x) = 0.5(x + 3)(x − 1)----------------------------------
hope it helps..
have a great day!!
Answer:
[tex]f(x) = 0.5(x+3)(x-1)[/tex]
Step-by-step explanation:
GIVEN :-
A quadratic function is represented by the graph in which :-
Vertex of the parabola = (-1 , -2)The function intersects x-axis at (-3 , 0) and (1 , 0)Y-intercept of the function = -1.5TO FIND :-
The quadratic functionGENERAL CONCEPT USED IN THIS QUESTION :-
A quadratic function has 2 forms :-
General form → f(x) = ax² + bx + cStandard form → f(x) = a(x - h)² + k [∵ where h = x-coordinate of the vertex of the function & k = y-coordinate of the vertex of the function.]SOLUTION :-
The quadratic function in the graph intersects x-axis at two points (-3 , 0) & (1 , 0). But there are infinite parabolas which also intersect the same two points. And those parabolas have their unique quadratic function.
Method 1 (System of equations method) -To find the unique quadratic function , you need to use three points on the
curve so that you can form 3 equations & solve them.
Using the General form of quadratic function , substitute the known values for x & y.
Let the three points be -
(-3 , 0)(1 , 0)(0 , -1.5)Substitute (-3 , 0) in general form of function -
[tex]0 = a(-3)^2 + b(-3) + c[/tex]
[tex]=> 9a-3b+c = 0[/tex] (eqn.1)
Substitute (1 , 0) in general form of function -
[tex]0 = a(1)^2 + b(1) + c[/tex]
[tex]=> a + b +c =0[/tex] (eqn.2)
Substitute (0 , -1.5) in general form of function -
[tex]-1.5 = a(0)^2 + b(0) + c[/tex]
[tex]=> c = -1.5[/tex]
Substitute c = -1.5 in -
1) eqn.1 → [tex]9a - 3b - 1.5 = 0[/tex]
[tex]=> 9a - 3b = 1.5[/tex]
[tex]=> 3(3a-b) = 1.5[/tex]
[tex]=> 3a-b = 0.5[/tex] (eqn.4)
2) eqn.2 → [tex]a+b-1.5=0[/tex]
[tex]=> a+b=1.5[/tex] (eqn.5)
Add eqn.4 & eqn.5 to get the value of 'a'.
[tex](3a-b)+(a+b) = 0.5+1.5[/tex]
[tex]=> 4a = 2[/tex]
[tex]=> a = \frac{2}{4} = \frac{1}{2} = 0.5[/tex]
Substitute a = 0.5 in eqn.5 -
[tex]0.5 + b = 1.5[/tex]
[tex]=> b = 1.5 - 0.5 = 1[/tex]
Now, rewrite the function in general form by putting the values of 'a' , 'b' & 'c'.
[tex]f(x) = (0.5)x^2 + (1)x - 1.5[/tex]
[tex]=> f(x) = 0.5(x^2 + 2x - 3)[/tex]
Factorise the quadratic polynomial.
[tex]=> f(x) = 0.5(x^2 + 3x - x - 3)[/tex]
[tex]=> f(x) = 0.5[x(x+3)-1(x+3)][/tex]
∴ [tex]f(x) = 0.5(x+3)(x-1)[/tex]
Method 2 (Vertex method) -Another way to find the function is by taking any point on the curve & using the vertex of the parabola ; substitute the known values for x , y , h & k in the Standard form of the function.
Let that point on the curve be (-3 , 0)
Vertex = (-1 , -2)
Substitute the values of x , y , h & k in Standard form of function.
[tex]0 = a[-3 - (-1)]^2 + (-2)[/tex]
[tex]=> 0 = 4a-2[/tex]
[tex]=> 4a = 2[/tex]
[tex]=> a = \frac{2}{4} = 0.5[/tex]
Now rewrite the Standard form of the function by putting the values of h , k & a.
[tex]f(x) = 0.5(x+1)^2-2[/tex]
Expand it.
[tex]=> f(x) = 0.5(x^2+2x+1)-2[/tex]
[tex]=> f(x) = 0.5x^2+x+0.5-2[/tex]
[tex]=>f(x) = 0.5x^2 + x- 1.5[/tex]
[tex]=>f(x) = 0.5(x^2 + 2x - 3)[/tex]
Factorising it will give the final answer.
∴ [tex]f(x) = 0.5(x+3)(x-1)[/tex]
Can you plz help me solve these plss i begg
Answer:
a): A line has a total degree of 180. So just subtract it. 180-92 is
y=88
b): Similar to the previous, a right angle has a total angle of 90. 90-45=45.
y=45.
These are all the ones I can figure out. I hope someone else can get c) and d).
Points D, B, and E are collinear. Find the value of a so that points A, B, and C
are collinear.
Answer: x = 14
Step-by-step explanation:
For points A, B, and C to be collinear, angle ABD and EBC must be vertical angles. Vertical angles are congruent so we will set them equal to each other and solve for x.
Given:
126 = 9x
Divide both sides of the equation by 9:
14 = x
Reflexive property:
x = 14
Solve x^2+2x>15 algebraically and graphically, brainliest to the best detailed answer, including the steps.
The algebraic solutions are x < -5 and x > 3.
The graph is given below.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
x² + 2x > 15
x² + 2x - 15 > 0
x² + (5 - 3)x - 15 > 0
x² + 5x - 3x - 15 > 0
x(x + 5) - 3(x + 5) > 0
(x - 3)(x + 5) > 0
x + 5 > 0 and x - 3 > 0
x < -5 and x > 3
The graph is given below.
Thus,
x < -5 and x > 3 is the solution.
The graph is given below.
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How do you solve 3 to the power of 3?
As per the power rule of exponents, the solution of 3 to the power of 3 is 27.
The term exponent in math is defined as a number shows how many times the number is multiplied by itself.
Here we have to solve 3 to the power of 3.
Here according to the Power Rule of Exponents then we have the rule as
=> aⁿ = a × a × a... (n times)
Therefore, the given expression is written as
=> 3³
Now, based on the power of exponent rule it can be rewritten as,
=> 3 × 3 × 3
Then we have to multiply the values then we get
=> 27
Therefore, the value of 3 raised to 3rd power is 27.
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Are the ratios 8:6 and 6:4 equivalent
Answer:
no it is not equivalent
Step-by-step explanation:
4/3is not equal to 3/2
Answer:
yes
Step-by-step explanation:
not as a fraction, but as ratios they are equivalent
helppppppppppppppppp
Answer:
The common difference is 6
Step-by-step explanation:
14 - 6 = 8
8 - 6 = 2
List the elements C={7n|n belongs to N, n<5}
Answer:
[tex]C = \{0,7,14,21,28\}[/tex]
Step-by-step explanation:
Given
[tex]C \{7n: n < 5\}[/tex]
Required
List the elements
Assume that n is not negative, the values of n are:
[tex]n = \{0,1,2,3,4\}[/tex]
So, the values of C is:
[tex]C = 7 * n[/tex]
[tex]C = 7 * \{0,1,2,3,4\}[/tex]
Multiply each set element by 7
[tex]C = \{7 *0,7 *1,7 *2,7 *3,7 *4\}[/tex]
[tex]C = \{0,7,14,21,28\}[/tex]
Please help! This is due soon
Answer:
slope is 1/2
Step-by-step explanation:
Kanene wants to know how much wrapping paper she needs to cover this cube. How much wrapping paper does she need?
Find the surface area
Answer:
Step-by-step explanation:
the side length of the cube is not given so i cant answer this
James purchased a gaming computer for $2,499. He anticipates each year it will decrease in value by 7.9% from the previous year. Write an exponential function that models the value in dollars of the computer x years after James's purchase.
Answer:
f(x)=2499(0.079)
Step-by-step explanation:
If a supermarket sells 5 bags of grapes for Rs. 16.60, what is the unit price of a bag of grapes?
A. 3.32
B. 4.32
C. 5.32
D. 2.32
Answer:
It's A
Step-by-step explanation:
Look down below for the question
Answer:
1.centre
2.chord
3.chord
4.radius
5.diameter
BRAINLY ME PLEASE IF HELPFUL!!!
Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.
Answer:
vertex form: y = (x + 3)² + 1 the vertex is minimum coordinates of the vertex: (-3, 1)Step-by-step explanation:
[tex]y=x^2+6x+10\\\\y=x^2+6x+9-9+10\\\\\bold{y=(x+3)^2+1}[/tex]
a = 1 > 0 ← it means the parabla opens up, so, the vertex is minimum
The vertex form is y = a(x - h)² + k, where (h, k) is the vertex
So, from y = (x + 3)² + 1 the vertex is: (-3, 1)
fraction bigger than 2 out of 5 and smaller than 2 out of 3. When i divided numerator by denominator , it will be 0.533.
The fraction that is bigger than 2/5 and smaller than 2/3 is 8/15.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3, 1/5 is a fraction.
We have,
Let the fraction be a/b.
2/5 < a/b < 2/3
Now,
a/b
= (2/3 + 2/5) / 2
= (10 + 6) / 30
= 16/30
= 8/15
= 0.533
Thus,
The fraction is 8/15.
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Can some one help me with this question its hard :( down below ill give brainliest
Answer:
B
Step-by-step explanation:
It's B
First we multiply the coefficients. 6*3= 18, so we can immediately cross out A and D. Now, c^2 * c is c^3. So, its B.
Hope this helps !!
-Ketifa
Step-by-step explanation:
=>6c²*3c=>18c²+¹=>18c³What is the log value of log2?
The log value of log2 is 1Log2 is defined as the logarithm base 2. This means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x.
In other words, log2(x) = y, where 2^y = x.
Therefore, when x = 2, 2^y = 2. This means that the logarithm of 2 is equal to 1, since 2^1 = 2.
Therefore, the log value of log2 is 1.
Log2 is an important mathematical concept that is used to calculate the logarithm of a number. Logarithms are used in a variety of fields, including mathematics, physics, engineering, and computer science. Log2 is the logarithm with a base of 2, which means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x. To calculate log2 of a number, the formula is log2(x) = y, where 2^y = x. This means that the logarithm of 2 is equal to 1, since 2^1 = 2. Therefore, the log value of log2 is 1. Log2 is often used to calculate logarithms of numbers that are not powers of 2, such as log2(3) = 1.5849. Log2 can also be used to calculate logarithms of numbers with decimals, such as log2(1.5) = 0.5849. Log2 can also be used to calculate exponents, such as 2^3 = 8.
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Find the EXACT values of ALL SIX trigonometric functions of θ(sin, cos, tan, cot, sec, csc) from the information given. (a) cosθ=7/12, sinθ<0 (b) tanθ=4/3, θ in Quadrant III
(a) Since cosθ = 7/12 and sinθ < 0, we can find the other four trigonometric functions as follows:
sinθ = √(1 - cos²θ) = √(1 - (7/12)²) = √(1 - 49/144) = -√(95/144)
tanθ = sinθ / cosθ = (-√(95/144)) / (7/12) = -4√(5/18)
cotθ = 1 / tanθ = -1 / (-4√(5/18)) = 1/(4√(5/18))
secθ = 1 / cosθ = 1 / (7/12) = 12/7
cscθ = 1 / sinθ = -1 / (-√(95/144)) = √(95/144)
(b) Since tanθ = 4/3 and θ is in Quadrant III, we can find the other five trigonometric functions as follows:
cosθ = √(1 / (tan²θ + 1)) = √(1 / (16/9 + 1)) = √(9 / 25) = 3/5
sinθ = cosθ * tanθ = (3/5) * (4/3) = 4/5
cotθ = 1 / tanθ = 1 / (4/3) = 3/4
secθ = 1 / cosθ = 1 / (3/5) = 5/3
cscθ = 1 / sinθ = 1 / (4/5) = 5/4
What is trigonometric functions?Trigonometric functions are a set of functions that relate the angles of a right triangle to the ratios of the sides of the triangle. The six most commonly used trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
The sine function, represented by sin, gives the ratio of the side opposite the angle to the hypotenuse. The cosine function, represented by cos, gives the ratio of the adjacent side to the hypotenuse. The tangent function, represented by tan, gives the ratio of the opposite side to the adjacent side.
The cotangent function, represented by cot, gives the ratio of the adjacent side to the opposite side. The secant function, represented by sec, gives the ratio of the hypotenuse to the adjacent side, and the cosecant function, represented by csc, gives the ratio of the hypotenuse to the opposite side.
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choose vertical or adjacent to tell how each pair of angles is related
Answer:
1 and 2 is adjacent. 1 and 3 are vertical. 3 and 4 are adjacent. 2 and 4 are vertical angles.
Angles ∠1 and ∠2 as well as angles ∠3 and ∠4 are linear and supplementary angles. And angles ∠2 and ∠4 as well as ∠1 and ∠3 are vertically opposite angles.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
Angles ∠1 and ∠2 are linear and supplementary angles.
Angles ∠1 and ∠3 are vertically opposite angles.
Angles ∠3 and ∠4 are linear and supplementary angles.
Angles ∠2 and ∠4 are vertically opposite angles.
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A triangle has side lengths 4.9 cm, 7.3 cm, and 8 cm. The angle measures are 36°, 64°, and 80°. What type of triangle is this triangle? please help for 15 points
Answer:
scalene acute triangle
Step-by-step explanation:
By looking at the side lengths, we can see that all of them are different, meaning the triangle is scalene. Next, we can notice that all of the angles are less than 90 degrees, meaning the triangle is acute. Putting this together, we get the triangle is a scalene acute triangle.