7/15 is the probability of drawing a red bean .
What is the simple definition of probability?
A probability is a number that expresses the possibility or likelihood that a specific event will take place.
Probabilities can be expressed as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Total beans = 7 + 2 + 6 = 15
Now out of these 15 only 7 are red.
Probability is normally written as a fraction.
= 7/15
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In slope intercept form, write the equation for each line.
Answer:
A: y = -0.4x -5
B: y = -1x +7
C: y = 1.25x +7
D: y = 3x -5
Step-by-step explanation:
See the attached worksheet. Finding the equations for the graph lines is reasonabvly straightforward, but the number of lines quadruples the space required. We'll find equations of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0). The worksheet notes the 4 steps needed:
1. mark any two points on the graph for each line.
2. Find the slope for each line by calculating the Rise/Run
3. Find the y-intercepts from the graph.
4. Assemoble the slopes and intercepts into the four equations.
Use a spreasheet to keep organized, and nbe patient. Check the equations using a free online graphing utility (e.g., DESMOS).
PLEASE HELP!!! I NEED HELP ASAP
Answer:
y = 6x
Explanation:
This question is asking you to write a linear equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
The y-intercept (where the line crosses the y-axis) is visibly 0. As for the slope, you can take two points, I'll use (0,0) and (0.1,0.6) to calculate it.
Slope = y - y/x- x
Slope = (0.6 - 0)/(0.1 - 0) = 0.6/0.1 = 6
Plug in 0 for b and 6 for m and you have an equation.
y = 6x + 0
y = 6x
Answer: y = 6x
Step-by-step explanation: To find the equation you use the form y=mx+b, m is the slope meaning the rise of the function over the run of the function. This function rises 0.6 in terms of y in the time it takes to move or “run” over 0.1 in terms of x. so it would be 6/10 divided by 1/10. which leaves you with 6. b stands for the y-intercept which in this case it crosses the y-axis at zero so it would be zero. so putting it together you would have y=6x
The graphs below have the same shape. What is the equation of the blue graph?
The blue graph is a vertical shift of 2 units downwards from the red graph.
What is vertical shift?One simple transformation is to move the entire graph of a function up, down, right, or left. Because this transformation involves adding a positive or negative constant to the function, the simplest shift is a vertical shift, which moves the graph up or down.Here,
We are given the parent function f(x) as follows:
f(x) = x²
and it is depicted by a red graph.
Looking at the graph, we can clearly see that the graph of G(x) (represented by a blue graph) is a 2 unit downward translation of the graph of f(x).
As a result, the transformation function g(x) is as follows:
G(x) = f(x) - 2
which is also written as:
G(x) = x² - 2
As a result, the equation for G(x) is : G(x) = x² - 2.
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Given various values of the linear functions f (x) and g(x in the table, determine the y-intercept of (f − g)(x).
x −6 −4 −1 3 4
f (x) 20 14 5 −7 −10
g(x) −36 −26 −11 9 14
(0, 4)
(0, −4)
(0, 8)
(0, −8)
The y-intercept of (f − g)(x) is 8. Therefore, option C is the correct answer.
Given various values of the linear functions f (x) and g(x) in the table.
What is a y-intercept?An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.
For the function f(x)
Here, (-6, 20) and (-4, 14)
Slope =(14-20)/(-4+6)
= -3
Substitute, m=-3 and (x, y)=(-6, 20) in y=mx+c, we get
20=-3(-6)+c
c=2
Substitute, m=-3 and c=2 in y=mx+c, we get
f(x)=-3x+2 --------(I)
For the function g(x)
Here, (-6, -36) and (-4, -26)
Slope =(-26+36)/(-4+6)
= 10/2 =5
Substitute, m=5 and (x, y)=(-6, -36) in y=mx+c, we get
-36=5(-6)+c
c=-6
Substitute, m=5 and c=-6 in y=mx+c, we get
g(x)=5x-6 --------(II)
Now, (f − g)(x)=-3x+2-(5x-6)
= -3x+2-5x+6
= -8x+8
Here, y-intercept is 8
The y-intercept of (f − g)(x) is 8. Therefore, option C is the correct answer.
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D.J. is planning an end of the school year party for her friends. She has $55 to
spend on soda and pizza.
Soda (2-liter)
Large Pizza
$1.25, including tax
$7.50, including tax
She knows she has to buy five 2-Liter bottles of soda.
Choose the inequality and calculate how many pizzas she can buy.
A 5(1.25) +7.50p ≥ 55; 7 pizzas
B 5(7.50) +1.25p> 55; 6 pizzas
C 5(7.50) +1.25p ≤ 55; 7 pizzas
D 5(1.25)+7.50p ≤ 55; 6 pizzas
Answer:
D
Step-by-step explanation:
He has max $55, so the total cost must be minor or equal to this value
6.25 + 7.50p ≤ 55
7.50p ≤ 55 - 6.25
7.50p ≤ 48.75
p ≤ 48.75 / 7.50
p ≤ 6.5
p = 6
A tennis ball is dropped from a certain height. Its height in feet is given by
h=-16t²+36 where t represents the time in seconds after launch. How long is
the ball in the air?
The amount of time the tennis ball will be in the air after launch is √2 seconds.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
The height of the tennis ball is given by the function h = - 16t² + 36, where t represents time in seconds.
Now, The amount of time the tennis ball will be in the air can be determined by the time when it hits the ground and at that time height of the ball should be zero.
Therefore, The time in the air is,
0 = - 16t² + 36.
16t² = 36.
t² = 2.
t = + √2 seconds, as time can not be negative.
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can someone help me thanks!
m=10d is the equation of line of the given graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
In the given graph,
the line shows the Arias savings account.
Arias savings account over time.
As the line is passing through the origin it forms a linear equation.
From the graph we can see for 1 month it is 10 dollars
2 months has 20 dollars
m=10d
Hence, m=10d is the equation of line of the given graph.
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A circle with a radius of 5 is transformed into the following function:
(x/3)² + (5y)² = 25
What percentage of the original circle's area is the area of the new circle?
A. 60%
B. 167%
C. 36%
D. 278%
The level of the first circle's region is the region of the new circle will be 60%. Then, at that point, the right choice is A.
What is the area?The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.
A circle with a sweep of 5 is changed into the accompanying capability:
(x/3)² + (5y)² = 25
The major and minor axes are given as,
(a/3)² = 25
a = 15
(5b)² = 25
b = 1
The percentage of area is given as,
P = [(Area of ellipse) / (Area of the circle)] x 100
P = [(πab) / (πr²)] x 100
P = [(15 x 1) / (5²)] x 100
P = (15/25) x 100
P = 0.6 x 100
P = 60%
The percentage of the original circle's area in the area of the new circle will be 60%. Then the correct option is A.
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what is the circumference of a circle with a diameter of 58 inches
Answer:
58π or about 182.12
Step-by-step explanation:
In order to find circumference with diameter, you need to use the formula:
C = πd
Multiply the diameter (58) by pi, and since pi is an irrational number, let's use 3.14.
3.14(58) = 182.12
58π would be the answer as well if you don't multiply pi.
Please help:
In the figure, solve for x and y
Answer:y=124
x=67
Step-by-step explanation:
y=180-56
y=124
x=67
Need to find x and y
Answer:
x = 55 degrees, y = 55 degrees
Step-by-step explanation:
1.) Since y and the given angle are Same Side Interior angles, that means that they are supplementary. This means that y + 125 = 180.
2.) By solving this equation, we get y = 55 degrees.
3.) Now, since y and x are corresponding, that means that they equal each other. Therefore, x = 55 degrees.
ther are a total of 60 gils and boys in a math class there are 4 times as many boys as girls in the class how many grls and boys are in the class
The number of boys in the class = 48 boys
The number of girls in the class = 12 girls
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of boys in the class be = x
Let the number of girls in the class be = y
Now , the total number of students in the class = 60
So , the equation , will be
x + y = 60 be equation (1)
Now , the number of boys = 4 times the number of girls
So , the equation will be
x = 4y be equation (2)
Substitute the value of equation (2) in equation (1) , we get
4y + y = 60
On simplifying the equation , we get
5y = 60
Divide by 5 on both sides of the equation , we get
y = 12
So , the value of y is 12
Substitute , the value of y in equation (2) , we get
x = 4y
x = 4 x 12
x = 48
Therefore , the number of boys is 48 and the number of girls is 12
Hence , The number of boys in the class = 48 boys
The number of girls in the class = 12 girls
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Suppose that the probability of snow is 0.58. What is the probability that is will NOT snow?
The probability that it will NOT snow is 0.42
How to determine the probability that it will NOT snow?From the question, we have the following parameters that can be used in our computation:
Probability of snow = 0.58
The probability that it will NOT snow is the complement of the probability that it will snow
This is represented as
Probability that it will NOT snow = 1 - probability that it will snow
Substitute the known values in the above equation, so, we have the following representation
Probability that it will NOT snow = 1 - 0.58
Evaluate
Probability that it will NOT snow = 0.42
Hence, the value is 0.42
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STEM AND LEAF
What is the median number of minutes students read?
the perpendicular line equation given y=7x-2 and passes through -4,6
The equation of the perpendicular line is y = -1/7(x + 4) + 6
How to determine the perpendicular line equation?From the question, we have the following parameters that can be used in our computation:
y = 7x - 2
Also, from the question;
We have the following points
The point is given as
Point = (-4, 6) i.e. (x, y) = (-4, 6)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 7
This means that the slope is 7
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -1/7
The equation of the line is then calculated as
y = m(x - x₁) +y₁
Where
m = -1/7
(x₁, y₁) = (-4, 6)
So, we have
y = -1/7(x + 4) + 6
Hence, the line has an equation of y = -10/3x + 1
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Use the ALEKS calculator to approximate √68.
Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
1\
\
X to the power of 3 - 5X
Answer:
it's so simple like very simple
Step-by-step explanation:
you just have to do
5x-3=2
x=2
Question 20 of 25
If JKLM is a trapezoid, which statements must be true? Check all that apply.
A. Jis supplementary to K.
B. Jis congruent to K.
C. JK is parallel to LM.
D. JK a LM
E. KL is parallel to JM.
F. JM a KL
There are two parallel sides and two non-parallel sides to a trapezoid. These are the actual claims:
(A) J is supplementary to K
(E) KL is parallel to JM
What is a trapezoid?In American and Canadian English, a quadrilateral with at least one pair of parallel sides is referred to as a trapezoid.
It is referred to as a trapezium in British and other varieties of English.
In Euclidean geometry, a trapezoid is a convex quadrilateral by definition. The bases of the trapezoid are the parallel sides.
So, a trapezoid's adjacent point angles sum up to 180 degrees.
This implies:
J+K = supplementary angles
L+M = supplementary angles
The highlights mentioned above indicate that J and K are supplemental angles. Thus, (a) is accurate.
A trapezoid also has two parallel sides.
Lines KL and JM must be parallel to one another because they are horizontal.
The highlighted portion above indicates that lines KL and JM are parallel. So, (e) is correct.
Therefore, there are two parallel sides and two non-parallel sides to a trapezoid. These are the actual claims:
(A) J is supplementary to K
(E) KL is parallel to JM
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Got this on my math test today:
x^(-1/3)=32x^(-2)
The value of x for the given equation is 8.
What is Logarithm?Logarithm function is defined as the inverse of the exponential function.
If a^(b) = c, then b = log(c) at the base of a.
For negative numbers, the logarithm are complex numbers.
The given equation is as below,
x^(-1/3) = 32x^(-2)
It can be solved as follows,
x^(-1/3) = 32x^(-2)
Take logarithm on both sides to obtain,
log (x^(-1/3)) = log (32x^(-2))
=> -1/3 log(x) = log(32) - 2log(x)
=> 2log(x) - 1/3 log(x) = log(32)
=> 5/3log(x) = log(32)
=> log (x^(5/3)) = log(32)
Remove log from both sides to get,
x^(5/3) = 32
=> x = 32^(3/5)
=> x = 8
Hence, the solution of the given equation is x = 8.
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suppose 48 out of every 120 people like baseball and of the people who like baseball three out of five play baseball if you ask 500 people how may would you expect to play baseball?
120 people out 500 people would play baseball.
What is fraction ?
The number of parts that make up a whole is all that a fraction informs us. With a slash between the two numbers, you can see if the numbers are fractions. The denominator is the lowest number, and the numerator is the highest. 1/2 is a fraction, for instance.
According to question
People who like baseball = 48/120
= 2/5
People who play baseball = 3/5 * 2/5
= 6/25
so, if there are 500 people,
then
500 * 6/25 = 120
hence, 120 People will play baseball.
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five couples have reserved seats in a row for a concert. in how many different ways can they be seated?
five couples have reserved seats in a row for a concert, 3840 different ways can they be seated. So, using the concept of combination formula we get -
What is combination formula?The number of possible ways to choose items from a collection when the order of choice is irrelevant is determined using the combination formula. Combination, to put it simply, is the process of choosing items or things from a bigger group where order is irrelevant.
The formula becomes: [tex]^nC_r[/tex]
Where n = total number of objects in the set.
r = number of choosing objects from the set
Given that,
there are five couples
These couples have reserved seats in a row for a concert.
So, arrangements of 5 couples can be done in 5! × 2⁵= 3840 ways.
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2. Estimate: then find sum
1.52
+1.21.
Answer:
Estimate: 3
Sum: 2.73
Step-by-step explanation:
To find the estimate, we can round our numbers to the nearest tenth (1.52 would become 1.5, and 1.21 would become 1.2). When we add these two numbers together, we get 2.7, which can be rounded up to 3.
To find the sum, we simply add 1.52 + 1.21, which equals 2.73.
6th Grade Math Inequalitys
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Assessment
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> S.18 Solve percent word problems YAB
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At the sewing store, Tessa bought a bag of mixed buttons. She got 19 large buttons and 31
small buttons. What percentage of the buttons were large?
Write your answer using a percent sign (%).
You
The percentage of large buttons Tessa bought is 38%
How to determine the percentage of large bottoms?You should know that percentage deals with the proportion of the large buttons when divided by 100
The given parameters are
Recall that she bought mixed buttons on the shop
19 large buttons
31 small buttons
Then total number of buttons is 19+31=50 mixed buttons
Then percentage of large buttons is
(19/50)*100
Simplify the fractions to have
=38%
In conclusion, Tessa bought 38% of large buttons
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True or False? You can find the mean, median, and mode of a data set from a box and whisker plot
Answer: false
Step-by-step explanation:
Jovan is tired of measuring all the angles and sides to determine
if two triangles are similar. "There must be an easier way," he
thinks. "What if I know that all of the angles are congruent?
Does that mean that the triangles are similar?"
Answer:
yes congruent means identical of the same
Step-by-step explanation:
hope this helps
Answer: The answer is here
Step-by-step explanation:
If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then two triangles are said to be similar. Thus, if ∠A = ∠X and AB/XY = AC/XZ then ΔABC ~ΔXYZ.
If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.
How do I do this right here
X | 0 | 1 2 3
y|-2| 0 [?][ ]
Answer: 2, 4
Step-by-step explanation:
Assuming this is a linear relationship, [tex]y[/tex] increases by 2 whenever [tex]x[/tex] increases by 1.
So, the blanks in the table are [tex]0+2=2[/tex] and [tex]2+2=4[/tex], respectively.
Jayden has two jobs. One week his paycheck was the same for both jobs. As a server he eared $9. 64 per hour plus $82. 35 in tips Working at a jewelry store he earned $14. 86 per hour plus $17. 10 in sales
bonuses.
Part A
Select the equation that can be used to determine the number of hours, h, that Jayden worked the week his paycheck was the same
for both jobs.
O 24. 5h
= 99. 45
0 91 99
= 31. 96h
0 82. 35h + 9. 64
0 9. 64h + 82. 35
17. 10h + 14. 86
14. 86h + 17. 10
Part B
BE
The total amount of money that Jayden made when both paychecks were the same is $
The equation that can be used to determine the number of hours, h, that Jayden worked the week his paycheck was the same is 65.25 = 5.22h and total amount of money that Jayden made when both paychecks were the same is $202.85.
Given :
Jayden has two jobs. One week his paycheck was the same for both jobs. As a server he eared $9. 64 per hour plus $82. 35 in tips Working at a jewelry store he earned $14. 86 per hour plus $17. 10 in sales
A )
Let h be the number of hours
9.64 * h + 82.35 = 14.86 * h + 17.10
82.35 - 17.10 = 14.86h - 9.64h
65.25 = 5.22h
B )
The total amount of money :
= 9.64 * 12.5 + 82.35
= 120.5 + 82.35
= $202.85
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GEOMETRY HELP NEEDED
Answer:
this is easy get a protractor
Step-by-step explanation: