Probabilities are used to determine the chance of events
The probability that she did NOT choose a boy either time is 1/3
The given parameters are given as:
[tex]\mathbf{n = 10}[/tex] --- total number of students
[tex]\mathbf{Boys = 4}[/tex] --- total number of boys
[tex]\mathbf{Girls = 6}[/tex] ---- total number of girls
If she did not choose a boy in either selection, then it means that both selections are girls.
So, the probability is calculated using:
[tex]\mathbf{P = P(Girl) \times P(Girl)}[/tex]
The selection is without replacement.
So, we have:
[tex]\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}[/tex]
Substitute known values
[tex]\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}[/tex]
[tex]\mathbf{P = \frac{6}{10} \times \frac{5}{9}}[/tex]
Simplify
[tex]\mathbf{P = \frac{1}{3}}[/tex]
Hence, the probability is 1/3
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write the equation of the line in fully simplified slope-intercept form
Answer:
y = 3/5x+1
Step-by-step explanation:
y intercept - (0,1), so b=1
Slope = rise/run = 3/5, so m = 3/5
Our Answer is y = 3/5x+1
A jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event.
Answer:
Step-by-step explanation:
a)
p
(
red marbles
)
=
6
6
+
8
p
(
red marble
)
=
3
7
b)
p
(
o
d
d
n
u
m
b
e
r
s
)
=
3
+
4
6
+
8
p
(
o
d
d
n
u
m
b
e
r
s
)
=
1
2
c)
p
(
red marbles or odd numbers
)
=
p
(
red marbles
)
+
p
(
odd numbers
)
−
p
(
red marbles and odd numbers
)
p
(
red marbles or odd numbers
)
=
6
14
+
7
14
−
3
14
p
(
red marbles or odd numbers
)
=
10
14
d)
p
(
Blue marbles or even number
)
=
p
(
Blue marbles
)
+
p
(
even numbers
)
−
p
(
blue marbles and even numbers
)
p
(
Blue marbles
)
=
8
14
p
(
even numbers
)
=
7
14
p
(
Blue marbles or even number
)
=
8
14
+
7
14
−
4
14
p
(
Blue marbles or even number
)
=
11
14
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Learn more about this topic:
What is Probability in Math? - Definition & Overview
from
Chapter 24 / Lesson 7
49K
The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.
Related to this Question
Related AnswersRelated LessonsRelated Courses
Consider the experiment of drawing two cards...
Listed below is a table that gives the two-way...
Randomly select one student from these 500...
In a box, there are 18 red, 14 blue, and 16...
1. What is the range of the function y = 2x-3 when the
domain is {-1, 0,5}?
y=2x-3
2x-3
2(-1)-3=-5
These are already solved but can someone explain how we got them, steps please! I really need it..
Answer:
1A,) 5x 2 and 3x are unlike terms and 9x 3 and 2x 2 are also unlike term
* so you have to put the like terms together to solve the equation
*then you say 9x 3 first because it is the biggest number (I think)
* then you put 5x 2 and 2x 2 together and 3x and x together too
* then you will get : 9x 3+ (5x 2 + 2x 2) + (3x -x)
:9x 3 + 7x 2 +2x
Note:in algebra 3x -x is like saying 3-1 aka x is seen as 1 but the one is invisible
haha
and unlike terms are terms that do not have the same variables or powers while like terms are terms that have the same variables or powers
10 x 9= what is it help
Answer:
10
[tex]10 \times 9 \\ 90[/tex]
Answer:
90 :)
Step-by-step explanation:
10 x 9 = 90
= 90 is correct answer
(Hope this helps can I pls have brainlist (crown)☺️)
solve for x in the triangle!!!
Answer:
13
Step-by-step explanation:
Combine all like terms:
14x-2
Since there are 180 degrees in a triangle, all three angles are going to equal 180.
14x-2=180
Add 2
14x=182
Divide by 14
x=13
Select all statements that are true about the triangles.
Figure ABCD with diagonal BC, sides AB and DC are congruent, angle A is congruent to angle D and sides AC and DB are congruent.
Group of answer choices
Triangles ABC and BCD are congruent by the Angle-Side-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Angle-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Side-Side Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Angle-Side Triangle Congruence Theorem.
Triangles ABC and BCD are congruent by the Side-Side-Side Triangle Congruence Theorem.
There is not enough information to determine if the triangles are congruent
Answer:
Triangle ABC and BCD are congruent by the side side side triangle congruence theorem
Fill in the blank with the correct math term, and give an example of each.
A. A(n) ________is a mathematical relationship that uses one or more variables, numbers or operation symbols.
Example:
B. A(n)________is a symbol that can be replaced by a number in a mathematical expression or equation.
Example:
C. A(n)_________is a mathematical sentence with an equal sign
Example:
Hellooo! Can someone please help me with this. I’m struggling, and need help. if u can help i would appreciate it. Also on the example parts please give a example, thank u.
A. A(n) equation is a mathematical relationship that uses one or more variables, numbers, or operation symbols.
B. A(n) variable is a symbol that can be replaced by a number in a mathematical expression or equation.
C. A(n) equation is a mathematical sentence with an equal sign.
A. A(n) equation is a mathematical relationship that uses one or more variables, numbers, or operation symbols.
Example: The variable "x" is used in the equation 2x + 3 = 7. It demonstrates the relationship that arises when "x" is multiplied by 2, added to 3, and the result is 7 as the outcome.
B. A(n) variable is a symbol that can be replaced by a number in a mathematical expression or equation.
Example: In the equation 3y + 2 = 11, "Y" is the variable. The equation can be solved by changing the value of "y," which can take on a variety of possibilities.
C. A(n) equation is a mathematical sentence with an equal sign.
Example: 4 + 5 = 9 is an illustration of an equation. It states that combining 4 and 5 yields the number 9. The equal symbol denotes the equality or balance of the two sides of the equation.
Explanation:
A. An equation is a statement that demonstrates the relationship between different quantities, variables, or numbers using mathematical operations. It might have a variable or several that need to be figured out in order to arrive at a particular value or link.
B. A variable is a symbol that is used to signify an ambiguous or fluctuating quantity in mathematical statements or equations. It is made flexible and generic to represent different values or relationships inside the confines of a mathematical issue.
C. An equation is a mathematical statement that establishes the equality of two expressions by using the equal sign. It indicates that the values of the two sides of the equation are equal or the same. In order to show mathematical relationships and properties, equations are frequently utilised.
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#1 Twenty five members of a travel club are planning their next club trip. Each member
has ranked their choices according to the following preference schedules. Is the plurality
winner the same as the majority winner?
Answer: France
Step-by-step explanation:
Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b?.
The residual column is given by the difference between the given values
and the values from the fitted line.
The values of a and b are; a = -0.4 and b = 0.18Reasons:
The line of best fit equation is; y = 2.55·x - 3.15
The 4-column table is presented s follows;
[tex]\begin{tabular}{|c|c|c|c|}\underline{x}&\underline{Given}&\underline{Predicted}&\underline{Residual}\\1&-0.7&-0.6&-0.1\\2&2.3&1.95&0.35\\3&4.1&4.5&a\\4&7.2&7.02&b\end{array}\right][/tex]
Required:
The values of a and b
Solution;
The residual is given by the difference between actually observed value and the predicted value
RESID = [tex]\mathbf{y_i}[/tex] - [tex]\mathbf{x_i}[/tex]·b
Where;
[tex]y_i[/tex] = The given value at point i
[tex]x_i[/tex]·b = The predicted value at point i
Therefore;
At x = 1, the residual = -0.7 - (-0.6) = -0.1
At x = 2, the residual = 2.3 - 1.95 = 0.35
At x = 3, the residual = a = 4.1 - 4.5 = -0.4
Therefore;
a = -0.4At x = 4, the residual = b = 7.2 - 7.02 = 0.18
Therefore;
b = 0.18Learn more about line of best fit here:
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I need help with question 5
Answer:Hi!
where is the question?
Step-by-step explanation:
Philip currently has $450 in his checking account. Each month Netflix withdraws $15 for dues. Which equation can be used to find y, the current amount in Philip's checking account after x number of months?
Use the Distributive Property to
simplify the following:
7(y + 3) =
Answer:
7y+21
Step-by-step explanation: i solve it hope this help.
Answer:
[tex]\bold{7y+21}[/tex]
Step-by-step explanation:
Hi there!
Let's solve this math problem by using the Distributive Property.
All we have to do is "distribute" 7 (multiply it by all the terms inside the parentheses):
[tex]\bold{7(y+3)}[/tex][tex]\bold{7y+21}[/tex]Hope it helps! Enjoy your day!
~ Just a teenage girl willing to help
[tex]\bold{Besties4Ever:-):-)}[/tex]
pleaseeeeeeeeee helppppppppp meeeeeeeeeee
Answers:
FunctionNot a functionFunctionNot a function========================================
Explanation:
If x repeats itself, then we don't have a function. For instance, relation 2 has the x value -4 show up twice. That input leads to multiple outputs which is why we don't have a function. Relation 4 is a similar story (this time the input 'u' shows up twice).
Relations 1 and 3 don't have this issue, so they are functions.
helpppppppppppppppppppppppppppp
What do you need help with? Are you in danger?
Model a desert community where 19% of the area is
desert and the rest is houses.
squares represent the area of the community
that is desert.
The area of the community that is houses is
represented by squares.
Answer: the first one is 19 and the second is 81.
Without calculating, explain how you can tell if the value of the expression (-2.37) - (.7.91) - (2.45)?
Answer:
33343555
4
3
4
34
2354555444
5224
34
32555555
555
5
32
55233=3=44
Step-by-step explanation:
Hayley learned a total os 13 appetizer recipes over the course of three weeks of culinary school. how many weeks does she need to complete to have learned 21 appetizers ?
Answer:
5 would be the answer.
Step-by-step explanation:
13 divided by 3(weeks) = 4.3
4.3 x 5 = 21.
= 5.
If you get it right ill give brainliest hurry pls
|9+40i| = |√9^2 + -40^2| = √1681 = 41
Answer: 41
Answer:
41
Step-by-step explanation:
We know that complex numbers are a combination of real and imaginary numbers
Real part is x and imaginary part y is multiplied by i, square root of -1
Modulus of x+iy =
Here instead of x and y are given 9 and 40
i.e. 9+40i
Hence to find modulus we square the coefficients add them and then find square root
|9+49i| =
By long division method we find that
|9+40i| =41
4x+3y=2 solve for y pls help omg i cant
Answer: 3 y = 2 − 4 x
Step-by-step explanation: 3 y = 2 − 4 x
What is the distance between points A and B?
A
B
-87-6 5 4 3 -2 -1
0
-
3
2
-
5
4
+
7
6
8
- 6 units
-1 units
O 5 units
6 units
Answer:
6 units
Step-by-step explanation:
Just count
The distance between points A and B is 6 units.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
In geometry, Distance between two points will be always a positive number.
Distance will be 0, if the points coincide.
Here on a number line, A is marked at -5 and B at 1.
We have to find the distance between A and B.
Distance between A and B = 1 - -5 = 1 + 5 = 6 units
Hence distance between A and B is 6 units.
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simplify this addition 20+(-6x)+6x+(-20)
Answer:
0
Step-by-step explanation:
20+(-6x)+6x+(-20)=20-6x+6x-20
=0
Find all of the rational zeros of the function. f(x)=x 4 −3x 3 −6x 2 +6x+8
Answer:
The "possible" rational zeros are:
±
1
,
±
2
,
±
4
,
±
8
The actual zeros are:
−
1
,
4
,
±
√
2
Explanation:
f
(
x
)
=
x
4
−
3
x
3
−
6
x
2
+
6
x
+
8
By the rational root theorem, any rational zeros of
f
(
x
)
are expressible in the form
p
q
for integers
p
,
q
with
p
a divisor of the constant term
8
and
q
a divisor of the coefficient
1
of the leading term.
That means that the only possible rational zeros are:
±
1
,
±
2
,
±
4
,
±
8
We find:
f
(
−
1
)
=
1
+
3
−
6
−
6
+
8
=
0
So
x
=
−
1
is a zero and
(
x
+
1
)
a factor:
x
4
−
3
x
3
−
6
x
2
+
6
x
+
8
=
(
x
+
1
)
(
x
3
−
4
x
2
−
2
x
+
8
)
Notice that the ratio between the first and second terms of the remaining cubic is the same as that between the third and fourth terms. So this cubic will factor by grouping:
x
3
−
4
x
2
−
2
x
+
8
=
(
x
3
−
4
x
2
)
−
(
2
x
−
8
)
x
3
−
4
x
2
−
2
x
+
8
=
x
2
(
x
−
4
)
−
2
(
x
−
4
)
x
3
−
4
x
2
−
2
x
+
8
=
(
x
2
−
2
)
(
x
−
4
)
Finally we can factor the quadratic as a difference of squares:
x
2
−
2
=
x
2
−
(
√
2
)
2
=
(
x
−
√
2
)
(
x
+
√
2
)
So the zeros are:
−
1
,
4
,
±
√
2
how do you convert decimal to fraction
you convert decimals to fractions by how much more numbers are after the point the more 0Answer:
for example 0.2=2/10 and0.25= 25/100
and if a zero is infront of the number like this 0.02 then it will be the same except it will be 2/100
Step-by-step explanation:
What is the slope of the line?
7x + 2y=5
A. 7/2
B. -7/2
C. -2/7
D. 2/7
Answer:
B) -7/2
Step-by-step explanation:
You would have to convert to slope-intercept form.
[tex]y=mx+b\\[/tex]
7x+2y=5
2y= -7x+5
y= -7/2x+5/2,
m= -7/2 = slope
Help please! I do not understand
(4 x 100,000) + (6 x 10.000) =
Answer:
answer is 400060
have a good day!!
If it's help pls give me Brainliest
tysm
Answer:
4000,060
answer explanation : when you add 4 times 100,000 ypu get 400,000 and now you get 400,000 and now you are going to muptiple 4,000,6 and 10.000 which is equal to 4,000,060
HELP! ILL TIVE BRAINLIST IF RIGHT!! Joe earns a percentage of his monthly sales. If his commission rate stays the same each month, how much does he need to sell in March to earn $200 more than he did in February? (Picture below)
$3000
$76
$3800
$900
Answer:
$3800
Step-by-step explanation:
If the ratio between sales and commission is 5:1, we can find that commission for February was 560. 560+200 is 760 and 760*5=3800
given f(x)=2x^3+kx-9 and x-1is a factor of f(x), then what is the value of k?
When it says the "x - 1 " is the factor of that function means when you find the root of the phrase x - 1 which is x = 1 , put it in the function then you have to get zero for the answer :
thus :
[tex]f(1) = 0[/tex]
Thus :
[tex]2 \times {1}^{3} + k(1) - 9 = 0[/tex]
So :
[tex]2 + k - 9 = 0[/tex]
[tex]k - 7 = 0[/tex]
Add both sides 7
[tex]k - 7 + 7 = 0 + 7[/tex]
[tex]k = 7[/tex]
There you go...
Have a great day ❤
A package of breakfast bars has 12 breakfast bars in it. The total weight of the breakfast bars in the package is
552 grams. The mass of each breakfast bar is the same. What is the mass in grams of each breakfast bar?
