Answer:
X ____ 0 ______ 1 _______ 2
P(x) __ 1/7 _____ 4/7 _____ 2/7
Step-by-step explanation:
Given that :
Number of red balls = 4
Number of Blue balls = 3
Total number of balls = (4 + 3) = 7
Picking without replacement :
Number of picks = 2
1st pick is red :
Probability = (required outcome / Total possible outcomes)
USing combination formula :
nCr = n! / (n-r)! r!
Total possible outcome :
7C2 = 7! / 5!2! = 7*6 / 2 = 42 / 2 = 21
X = number of red
For red = 0;
P(x =0) = required outcome / Total possible outcomes
P(x = 0)
Required outcome : [4C0 * 3C2)]
P(x = 0) = [(4C0 * 3C2)] / 21 = (1*3)/21 = 3/21 = 1/7
P(x = 1)
Required outcome : [4C1 * 3C1)]
P(x = 1) = [(4C1 * 3C1)] / 21 = (4*3)/21 = 12/21 = 4/7
P(x = 2)
Required outcome : [4C2 * 3C0)]
P(x = 2) = [(4C2 * 3C0)] / 21 = (6*1)/21 = 6/21 = 2/7
Hence ;
X ____ 0 ______ 1 _______ 2
P(x) __ 1/7 _____ 4/7 _____ 2/7
7th-grade question
3. Aliya hikes up a mountain for 2 hours. During this time, she hikes a
distance of 1 1/3 miles. Which expression shows Aliya’s rate in miles per
hour?
A. 1 1/3 miles
2 hours
B. 2 hours+ 1 1/3 miles.
C. 1 1.3 miles--2 hours
D. 2 hours
1 1/3 miles
Answer:
It is A if the expression is written like a rate/fraction --->
1 1/3 miles
---------------
2 hours
Step-by-step explanation:
If the expression is written like that then the answer is A.
This is because something per hours would mean hours would be on the bottom.
example:
rate
-------
per hour
hope this helps :)
12x + 16 = 100
100
(Equation)
Solve it and show your work!
15
Simon & Iris earned money
by selling candy. They
earned $12 by recycling.
They split the total and
each got $100. How much
did they earn selling
candy?
Speaker notes
Answer:
1. x = 7
Step-by-step explanation:
12x + 16 = 100
12x = 84
x = 7
Answer:
1. x = 7
2. Simon and Iris earned $212 selling candy.
Step-by-step explanation:
1. 12(7) + 16 = 100
84 + 16 = 100
100 = 100
Therefore, x = 7.
2. If they split the price by 2, then we need to multiply $100 by 2.
100 x 2 = $200
$200 + $12 = $212
Therefore, Simon and Iris earned $212 selling candy.
The least common multiple of two numbers is 24. Which could be the two numbers?
6 and 8
4 and 6
8 and 16
4 and 12
Answer:
4 and 6 I hope this is right!!
Answer:
4 and 6
Step-by-step explanation:
Find the instantaneous rate of change of the function
f(x)=2x^3−3x at the point (2,10)
A. -3
B. 5
C. 9
D. 21
E. 33
We can find the instantaneous rate of change at [tex]x=2[/tex] by evaluating the limit
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2}[/tex]
(i.e. the definition of the derivative)
Since
[tex]f(x) = 2x^3 - 3x \implies f(2) = 10[/tex]
we have
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to3} \frac{2x^3 - 3x - 10}{x - 2}[/tex]
Note that [tex]2x^3-3x-10=0[/tex] when [tex]x=2[/tex], which means [tex]x-2[/tex] divides the numerator exactly. By polynomial division, we can show
[tex]\dfrac{2x^3 - 3x - 10}{x - 2} = 2x^2 + 4x + 5[/tex]
Then in the limit, we can write
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to2} \frac{(x-2) (2x^2 + 4x + 5)}{x - 2}[/tex]
As [tex]x\neq2[/tex], we can cancel the factors of [tex]x-2[/tex].
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = \lim_{x\to2} (2x^2 + 4x + 5)[/tex]
The function in the remaining limit is continuous at [tex]x=2[/tex], so we can directly substitute [tex]x=2[/tex] to get its value,
[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2} = 2\cdot2^2 + 4\cdot2 + 5 = \boxed{21}[/tex]
(D)
which of the following is a linear function
Answer:
The 1st one?
Step-by-step explanation:
Sorry if I'm wrong
help now i will mark brainly
Answer:
6. 928 R 3
7. 4/6
8. 2/8
Step-by-step explanation:
What is the value of x in x = inverse of sin(-1/2)?
Answer:
B. -pi/6
Step-by-step explanation:
HELP ONE HOUR LEFT One of the most common uses of exponents is when dealing with scientific notation. Recall that 3.2×10¹
is written in scientific notation where 10 is being raised to the 4th power. If 3.2x10' is the length of a park
in meters and 2.5×106 is the width in meters, what is the area of the park if it is in the shape of a rectangle?
It may help to write the terms out as an extended product and then regroup them.
Area = Length x Width = (3.2×10¹) (2.5×10) =
Using scientific notation, the area of the park, in m², is given by:
[tex]A = 8 \times 10^{10}[/tex]
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
When two numbers in scientific notation are multiplied, we have that:
The bases are multiplied.The base 10 is kept, while the exponents are added.Hence the area of the park is given by:
[tex]A = 3.2 \times 2.5 \times 10^{4 + 6} = 8 \times 10^{10}[/tex]
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PLZ HELP ME BRAINLIEST IF CORRECT AND HEART AND 5 STAR RATE
Answer:
15
Step-by-step explanation:
the unit rate of 2/1 equivalent to the ratio 4/6: 9/12. True or false?
Answer:
I think true.
Step-by-step explanation:
PLEASE ANSWER IMMEDIATELY
Simplify the expression -416 - -613 Explain your solution using the additive inverse property.
Answer: 203
Step-by-step explanation:
-416 + 613
203
help me please! is compound interest
Answer:
7,200
Step-by-step explanation:
Anybody know the answer??
Answer:
The answer is 5
Step-by-step explanation:
2x+7=17
2x=10
x=5
If u have more questions just ask
Brainliest Please
How can you use Triangle Congruence to solve real-world problems?
Answer:
Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.
Plz, answer. Will mark brainiest. Please! 50 points!!!
Answer:
12%
(12ish at least, I don't know if this problem requires the exact decimal.)
Answer:
12%
Step-by-step explanation:
:)
Use calculus to find the area A of the triangle with the given vertices.
(0, 0), (4, 1), (2,6)
The area A of the triangle with the given vertices is 13 square units
How to determine the area A of the triangle with the given vertices?The vertices are given as
(0, 0), (4, 1), (2,6)
The area is calculated as
Area = 1/2 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|
So, we have
Area = 1/2 * |0 * (1 - 6) + 4 * (0 - 6) + 2 *(0 - 1)|
Evaluate the sum of products
So, we have
Area = 1/2 * |-26|
Remove the absolute bracket
Area = 1/2 * 26
Evaluate the products
Area = 13
Hence, the area A of the triangle with the given vertices is 13 square units
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What is the area of this rectangle?
2.5 m
2 m
Answer:
5
Step-by-step explanation:
Choose the correct answer.
Conjunctions that connect words, phrases, or clauses that are similar are called __________ conjunctions.
A) subordinate
B) correlative
C) coordinating
PLS HELP!
Answer:
A) Subordinate
Step-by-step explanation:
it could help
The answer to the inequality, |3x| < -6, is no solution.
Why isn't there a solution to this inequality? Please explain your thinking.
Answer:
x < -2 and x > 2
Step-by-step explanation:
Given the inequality |3x| < -6
The function inside modulus can take both positive and negative value.
For the positive value;
3x < -6
x < -6/3
x < -2
For the negative value;
-3x < -6
-3x/-3 > -6/-3
x > 2
Hence the solution to the inequality is x < -2 and x > 2
PLEASE HELP ILL GIVE 5* AND THANKS.
Find an equation of the tangent line to the graph of
y = g(x) at x = 3 if g(3) = −6 and g'(3) = 4.
(Enter your answer as an equation in terms of y and x.)
The line tangent to g(x) at x = 3 is:
y = 4*x - 18
How to find the equation of the tangent line?
If we have a function y = f(x), the slope of the line tangent at the point x = a is given by f'(a).
In this case, we know that g'(3) = 4, so the slope of the line is 4.
Then the line is something like:
y = 4*x + b
To find the value of b we use the fact that this line must pass through the point (3, g(3))
And we know that g(3) = -6
Then this line must pass through the point (3, -6), replacing that we get:
-6 = 4*3 + b
-6 = 12 + b
-6 - 12 = b = -18
Then the tangent line is:
y = 4*x - 18
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Use the information to answer the question.
Consider the triangle.
16x + 5
4x + 2
8x + 1
Part A
Which expression represents the perimeter of the triangle?
Answer:
13x^8 + 4x^5 - 16x^2 try this
Step-by-step explanation:
Need answer asap ...........
Answer:
25
25
Step-by-step explanation:
3^3 + 10 - 2 * 6
27 + 10 - 12
25
c
10^2 / 2^2
100 / 4
25
Answer:
B.)25
C.) 25
Step-by-step explanation:
B.) 3^3=27
27+10=37
37- 12= 25
_________________________________________
C.) 10^2= 100
100/ 2^2= 25
Brainliest? I am trying to earn a new rank so I can help more people and I would totally appreciate it if you did! Merry Christmas!
The total weight of 50 identical marbles
Answer:
Is there more parts of the answer?
Answer:
50 * mass per marble
Step-by-step explanation:
Total weight is weight per marble mutiplied by amount of marbles (N*m = M)
Ricky Bobby currently has $500 in his savings account, and figures that he will add $25 per week from his
job. He realizes that he can use the equation
S=25w+500 where S is the amount in savings and w= number of weeks from now.
a. How much will he have saved in 15 weeks
b. When will Ricky Bobby have $1200?
Ricky Bobby will have saved $875 in 15 weeks and he will have $1200 in 28 weeks.
Firstly solving first part of the question. Here, we need to calculate the savings in 15 weeks. To perform this calculation, we will keep the number of weeks in place of variable w.
Savings = 25×15 + 500
Performing multiplication
Savings = 375 + 500
Performing addition
Savings = $875
Now, solving the second part, which is finding the number of weeks. We will keep the savings amount at place of variable S.
1200 = 25w + 500
25w = 1200 - 500
Performing subtraction
25w = 700
w = 700 ÷ 25
Performing division
w = 28
Therefore, Ricky Bobby will have saved $875 in 15 weeks and he will have $1200 in 28 weeks.
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From 10 am to 4 pm the temperature changed -36 degrees. If the temperature changed equally for the last 6 hours, How much did it change each hour?
Answer:
-6 degrees per hour
Step-by-step explanation:
divide -36 by 6(the number of hours) and get -6
Answer:
6 degrees
Step-by-step explanation:
it changed 6 degrees every hour
Sonji bought a combination lock that opens with a four-digit number created using the digits 0 through 9. The same digit
cannot be used more than once in the combination.
It Sonji wants the last digit to be a 7 and the order of the digits matters, how many ways can the remaining digits be
chosen?
84
504
O 3,024
O 60,480
Mark this and return
Save and Exit
Next
Submnit
Answer:
it would be x =11*49
Step-by-step explanation:
Answer:
504
Step-by-step explanation:
My lunch
was $5.65. If this is
my change, how much did
give the cashier?
Answer:
im thinking either b or c im leaning towards b
Step-by-step explanation:
If the area of the triangle with vertices (5,2),(x,4) and (0,3) is 25/2, find x?
x=7
Pretty Simple.. h h h
The value of the variable 'x' will be 20. Then the third vertice of the triangle is (20, 4).
What is the area of the triangle?The vertices of the triangle are (x₁, y₁), (x₂, y₂), and (x₃, y₃).
Then the area of the triangle will be
Area = 1/2 |[(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]|
The vertices of the triangle are given as,
(x₁, y₁) ⇒ (5, 2)
(x₂, y₂) ⇒ (x, 4)
(x₃, y₃) ⇒ (0, 3)
Then the area will be
Area = 1/2[{5 × 4 + x × 3 + 0 × 2} – {2 × x + 4 × 0 + 3 × 5}]
25/2 = 1/2 [20 + 3x – 2x – 15]
25 = [x + 5]
x = 25 – 5
x = 20
The value of the variable 'x' will be 20. Then the third vertice of the triangle is (20, 4).
More about the area of the triangle link is given below.
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At a baseball game, 6,425 people sit in 8 sections of stands. Each section holds about the same number of people. About how many people are seated in each section?
Answer:
803
(This is not necessary don't worry about this)