Answer:
28
Step-by-step explanation:
7C2
The 3rd term of 7th row of the Pascals triangle is 21.
We have a Pascal's triangle.
We have to determine the 3rd term of 7th row of this triangle.
What is Pascal's triangle ?A pascal's triangle is an arrangement of numbers in a triangular array such that the numbers at the end of each row are 1 and the remaining numbers are the sum of the nearest two numbers in the above row. The pascals triangle is shown below -
[tex]\begin{tabular}{rccccccccc}$n=0$:& & & & & 1\\\noalign{\smallskip\smallskip}$n=1$:& & & & 1 & & 1\\\noalign{\smallskip\smallskip}$n=2$:& & & 1 & & 2 & & 1\\\noalign{\smallskip\smallskip}$n=3$:& & 1 & & 3 & & 3 & & 1\\\noalign{\smallskip\smallskip}$n=4$:& 1 & & 4 & & 6 & & 4 & & 1\\\noalign{\smallskip\smallskip}\end{tabular}[/tex]
If we have to find the element or term at position - m in row number - n, than the element will be -
[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]
According to the question, we have to find the 3rd term of 7th row of this triangle. It can be found out using the formula -
[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]
We have - n = 7 and m = 3
[7] C [2] = [6] C [1] + [6] C [2]
[tex]$\frac{7!}{(7-2)!2!} = \frac{6!}{(6-1)!1!} + \frac{6!}{(6-2)!2!} = 6 + 15 = 21[/tex]
Hence, the 3rd term of 7th row of the Pascals triangle is 21.
To solve more questions on Pascals Triangle, visit the link below-
https://brainly.com/question/15655806
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Strands of copper wire from a manufacturer are analyzed for strength and conductivity. The results from 100 strands are as follows: Strength High Low High conductivity 74 8 Low conductivity 15 3 a. If a strand is randomly selected, what is the probability that its conductivity is high and its strength is high
Answer:
0.74
Step-by-step explanation:
Given :
__________________ STRENGTH __
__________________High _ Low
High conductivity _____ 74 __ 8
Low conductivity _____ 15 ___ 3
Probability that conductivity is high and strength is high :
This the probability of High conductivity n High strength = P(High conductivity n High strength)
Probability = required outcome / Total possible outcomes
Required outcome = P(High conductivity n High strength) = 74 (from table)
Total possible outcomes = total sample size = 100
Hence,
P(High conductivity n High strength) = 74 / 100 = 0.74
PLZZZZZZZZZZ HELP!!!!!!!!
Answer:
b
Step-by-step explanation:
cause a negative number is to the left of zero and a positive to the right
Write 287 in expanded form ?
Answer:
200 + 80 + 7
you break it down fully to see how you got it all together
Lorenzo made a table and a graph for the equation y = 4x.
x
у
12
11
10
9
8
7
6
1
4
2.
8
3
12
3
2
1
1 2 3 4 5 6 7 8 9 10 11 12
Did Lorenzo make these items correctly? Select the true statement,
A. The graph is correct, but the table is not
B. Both are correct
C. Both are incorrect
D. The table is correct, but the graph is not
I’m not sure can someone please answer this
Answer:
Step-by-step explanation:
C:Both are correct
Combine like terms 3x^2 + 4x^3 + 6x^2
Answer:
3x^2+6x^2= 9x^2
9x^2+4x^2
Step-by-step explanation:
Pls hurry and help!!!3X-2y=4
6x-2y = -2
Solve the equations by using elimination Adding.
Answer:
The answer will be the following :
Step-by-step explanation:
Let's solve for x.
3x−2y=46x
Step 1: Add -46x to both sides.
3x−2y+−46x=46x+−46x
−43x−2y=0
Step 2: Add 2y to both sides.
−43x−2y+2y=0+2y
−43x=2y
Step 3: Divide both sides by -43.
−43x
−43
=
2y
−43
PLS HELP EASY ALGEBRA LOTS OF POINTSSS AND BRAINLIEST
Answer:
Boy that's CAAAPPPPP.
Step-by-step explanation:
Answer:
The answer is a = 12 and b = 9.
Step-by-step explanation:
For starters 12 + 9 equals 21 and when you multiply 3/4 by 12 it gets you nine so both those statements are accurate if you choose this answer.
what is the equivilent of 2(6x+2)
Answer:
12x+4
Step-by-step explanation:
2(6x+2)
2multiply both 6x and 2
12x+4
hope it's helpful ❤❤❤❤
THANK YOU.
#
Answer:
12x + 4
Step-by-step explanation:
I used the distributive property
2(6x + 2)
12x + 4
What is the value of x?
Enter your answer in the box
39
X=
102°
Answer:
x=39
Step-by-step explanation:
The interior angles add up to 180 degrees so you do 39+102, which is 141. Then you subtract 141 from 180 and then you get 39 degrees.
consider the two functions which statement is true
Answer:
The right answer is D
Step-by-step explanation:
The slope of the first function is 2.5, the slope of the second function is 3, so function 2 has a greater rate of change by [tex]\frac{1}{2}[/tex].
How many 8 foot sections of fencing are needed for 189 feet of fencing
Answer:
83 akwowoow
Step-by-step explanation:
osowoeow9ekssk
Answer:
36 team I hope this help a lot
Write a rule for g described by the transformation of the graph of f...
Answer:
[tex]g(x) = 4-4\sqrt{x}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4\sqrt{x}+1[/tex]
1. 5 units down translation
2. Reflection in the x-axis
Required
Determine the resulting function g
1. 5 units down translation
This is defined by the rule:
A down translation is:
[tex]f'(x) = f(x) - b[/tex]
Where b is the number of units.
So, we have:
[tex]f'(x) = 4\sqrt{x} + 1 - 5[/tex]
[tex]f'(x) = 4\sqrt{x} -4[/tex]
2. Reflection in the x-axis
For a function f(x),
When reflected over the x-axis, it becomes -f(x)
So:
[tex]g(x) = -f(x)[/tex]
[tex]g(x) = -(4\sqrt{x} - 4)[/tex]
[tex]g(x) = -4\sqrt{x} +4[/tex]
[tex]g(x) = 4-4\sqrt{x}[/tex]
What is the decimal equivalent for 139%
Answer: 1.39
Step-by-step explanation:
Hope it helps! Mark me brainliest.
hi i need help asap
10(y - 3) +(6y - 5)
Answer:
16y -35
Step-by-step explanation:
10(y-3)+(6y-5)
10y-30+6y-5
10y+6y -30-5
16y -35
Tamanika received a raise in her hourly pay from 18.00 to $22.50 find the percent Change
Answer:
40.5
Step-by-step explanation:
Find the Slope (9,5) (9,-3)
Patty buys a new car and gets it appraised every few years. After owning the car for 3 years, its value is $15,000. After owning the car for 5 years, its value is $9,000.
If Patty gets her car appraised after owning it for 6 years, what will the car's value be in this indirect variation situation?
A. $7,500
B. $2,500
C. $6,000
D. $4,000
Answer:
c) 6000
Step-by-step explanation:
the car's value would be $6000 because in two years the car decrased by $6000. Divide that by 2, and get $3000. That's how much it decreases in one year. $9000-$3000=$6000
btw I can't help it the car's original value was $24,000
PLEASE HELP!! 30 POINTS
What is the length of the hypotenuse of the triangle below?
512
9041
245
572
O A. 1
B. 252
C. 5
O O O O
D. 10
E. 10
Answer:
10 (D)
Step-by-step explanation:
do the Pythagorean theorem
Challenge A large university accepts 60% of the students who apply. Of the students the university
accepts, 35% actually enroll. If 10,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Answer:
man i cant really say
Step-by-step explanation:
Find the probability of 5 successes in 9 trials of a
binomial experiment in which the probability of
success in any one trial is 37%.
Round to the nearest tenth of a percent.
A fish tank in the shape of a right rectangular prism is 12.5 inches long, 6 inches wide and 8 inches high.
What is the total amount of water needed, to the nearest cubic inch, to fill 90% of the fish tank with water?
A: 610 cubic inches
B: 690 cubic inches
C: 540 cubic inches
D: 90 cubic inches
Answer:
I just did this a couple days ago try 690
Step-by-step explanation:
The product of 8 and x is great than 50.
Answer:
The product of 8 and 7 is greater than 50
Answer:
8x > 50
Step-by-step explanation:
Use the linear combination method to solve the system of equations. Explain each step of your solution.
2x-3y=13
2x+4y=-8
Step-by-step explanation:
Equation 1: 2x - 3y = 13
Equation 2: 2x + 4y = -8
Subtract Equation 1 from Equation 2:
2x + 4y = -8
- (2x - 3y = 13)
=> 7y = -21, y = -3.
Then 2x - 3(-3) = 13, 2x + 9 = 13, x = 2.
The solutions are x = 2 and y = -3.
The triangles are similar. Solve for x. Hint - draw the triangles separately.
Answer:
The answer is 18
Step-by-step explanation:
All you have to do is look at the length the left side of the triangle and see what you have to divide the larger number by to get the smaller number.
Then you have to divide the number on the bottom by the number that you had to divide the larger number by the side by.
6/? = 3
6/2 = 3
36/2 =18
What is the quotient of 6.16 divided
by 1.1?
Answer:
5.6
Step-by-step explanation:
David gave one-fifth of his 235 baseball cards to his sister.
What percent of his baseball cards did David give to his sister?
%
How many baseball cards does David have left?
Please Help!! I will do anything you want
Answer:
What percent of his baseball cards did David give to his sister?
20%
How many baseball cards does David have left? %
47
David had 180 cards left
Hope I helped!
11 more than x is less than. 3 (please)
Answer:
(11+x)-3
Step-by-step explanation:
11 more than x is another way of saying 11+x
And "less than 3" means subtracting 3 from the terms
So if you put that together it would be
(11+x) -3
Help please! This is due tomorrow!
1 What is the value of this expression?
2 +4² x 4 - 12
Tell Me If Somethings wrong with my answer!
Answer:
54
Step-by-step explanation:
pedmas rule
2+16*4-12
2+64-12
66-12=54
What is 8/12 + A/12=2/b
Answer:
A = -4
B = 12
Step-by-step explanation:
A is -4 because 8 - 4 is 2. B is 12 because both of the denominators are 12 so the answer's denominator should also be 12.
Hope it helps!