What is the area underneath a normal curve always equal to?
A. zero
B. sixty-eight
C. one
D. ninety-five
Xpand the binomial (4x + 3y)3. The coefficient of the second term in the expansion of the binomial (4x + 3y)3 is .
Answer: 144
Step-by-step explanation:
The binomial is [tex]\left( 4x+3y\right)^3[/tex]
The expansion of [tex]\Rightarrow \left ( a+b \right )^n=^nC_0\left ( a \right )^n\left ( b \right )^0+^nC_1\left ( a \right )^{n-1}\left ( b \right )^1+^nC_2\left ( a \right )^{n-2}\left ( b \right )^2+^nC_3\left ( a \right )^{n-3}\left ( b \right )^3+\ldots[/tex]
Expansion of [tex]\left( 4x+3y\right)^3[/tex]
[tex]\Rightarrow ^3C_0\left ( 4x\right )^{3}\left ( 3y\right )^0+^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1+^3C_2\left ( 4x\right )^{1}\left ( 3y\right )^2+^3C_3\left ( 4x\right )^{0}\left ( 3y\right )^3[/tex]
So, the second term is
[tex]\Rightarrow ^3C_1\left ( 4x\right )^{3-1}\left ( 3y\right )^1\\\Rightarrow ^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1[/tex]
Its Coefficient is
[tex]\Rightarrow ^3C_1\times 4^2\times 3\\\Rightarrow 3\times 16\times 3=144[/tex]
find the volume of a rectangular pyramid with the height of 9 length of 8 and width of 6
Answer:
V = 144 cm^3
Step-by-step explanation:
V = (lwh)/3
V = (8 x 6 x 9)/3
V = 144 cm^3
Can somebody help me with this I don’t get it?
Answer:
the time means how long it takes to get to that distance below it
Step-by-step explanation:
Hari bought 5 apples at Re 1 and sold 4 apples at Re 1. Find the profit or loss in percentage.
Step-by-step explanation:
C.P=5×1=Rs.5
S.P.=4×1=Rs.4
Loss=C.P.=S.P.
=Rs.5-Rs.4
=Re.1
loss%=loss/C.P ×100
=1/5×100%
=20%
please help me if u can i need a good grade on this please and thank you have a good day.
Answer:
[tex]yes (k) = \frac{1}{9}[/tex]
Solve for x.
A) 13
B) 26
C) 11
Answer:
13
Step-by-step explanation:
Once again we are looking at inscribed angles and intercepted arcs. Like stated previously an inscribed angle is equal to half its intercepted arc
That being said we want to create an equation to solve for x
The equation would be 7x + 5 = 192/2
We now solve for x
step 1 simplify
192/2=96
now we have 7x + 5 = 96
step 2 subtract 5 from each side
5 - 5 cancels out
96 - 5 = 91
7x = 91
step 3 divide each side by 7
7x/7 = x
91 / 7 = 13
we're left with x = 13
I’ll mark brainliest for anyone who answers.
Answer:
Step-by-step explanation:
You have the right answer
========================================================
Work Shown:
p = number of items sold
855 = cost per item
855p = total revenue = total amount of money earned
6780 = total expenses
profit = revenue - expenses = 855p - 6780
profit = 855p - 6780
------------------
Now plug in p = 250
profit = 855p - 6780
profit = 855*250 - 6780
profit = 213,750 - 6,780
profit = 206,970 dollars
This is the profit the company makes in one month if p = 250 items are sold.
The CEO earns 15% of this profit, so,
15% of 206,970 = 0.15*(206,970) = 31,045.50
The CEO earns $31,045.50
A rational number equivalent to 5/7 is
5/7 is 5÷7
so
5÷7 = 0.7142857143
when does order matter when writing algebraic expression
What is the solution of the quadratic equation.
Equation: 2x + 7x - 5= 10
Step-by-step explanation:
2x+7x-5=10
2x+7x= 10+5= 15
2x ×9=15
2x =15-9=5
x=5/2=2.5
hope it helped
URGENT!!!
special right triangles escape roomLEVEL 3
Write the correct order
of letters to the finish line.
A
B
с
Example:
ABCGH
673,000 in numeric help!!
Answer:
huh? explain better
Step-by-step explanation:
WHOEVER ANSWERS FIRST GETS BRAINLIEST
A mechanic had 4 1/2 gallons of motor oil at the start of the day. At the end of the day, only 5 pints remained.
How many pints of motor oil did the mechanic use during the day?
4 pt
13 pt
19 pt
31 pt
Answer:
19
Step-by-step explanation:
i took the quiz
I REALLY NEED HELP WITH THIS QUESTION FOR MY MATH CLASS!!!!!!
Answer:
the answer is d
Step-by-step explanation:
brainliest pls
Answer:
It's B or D, but I think D.
Step-by-step explanation:
Find the measure of arc BC
Answer:
100°
Step-by-step explanation:
is 25% of the circle
Answer:
BC = 100°
Step-by-step explanation:
The chord- chord angle BDC is half the sum of the arcs intercepted by the angle and its vertical angle, that is
[tex]\frac{1}{2}[/tex] ( BC + AE) = 85° ( multiply both sides by 2 to clear the fraction )
BC + AE = 170°
BC + 70° = 170° ( subtract 70° from both sides )
BC = 100°
P
289
670
R
Find the measure of P.
390
80°
ООО
85°
90°
Answer:
C, 85°
Step-by-step explanation:
180° = total angles for a triangle
First, add the known angles.
67 + 28 = 95
Then, subtract
180 - 95 = 85
To check your answer, add all the angles up to see if it equals 180°
67 + 28 + 85 = 180
Have a great day!
On the map, the south side of the park has a length of 20 centimeters. What is the actual distance, in kilometers of the south side of the south of the park
Answer: 25 kilometers for part A. 12 for part B.
Step-by-step explanation: Teacher told the answer.
HII HELP OK THIS ASAP PLS
Answer:D
hope this helps
The Triangle has a base of 8 1/6 and a height of 3 1/7.
What is the area?
Answer:
77/6
Step-by-step explanation:
area of triangle =1/2 base x height
=1/2 x8 1/6x 3 1/7
=1/2 x49/6x22/7
=77/6
A pound of guinea-pig pellets is about 3 cups of food. Each guinea pig eats 1/4 cup of pellets a day. How many days will pellets last? Also there is 5 pounds of pellets
PLEASE ANSWER CORRECTLY, I WILL GIVE BRAINLIEST <3 THANKS IN ADVANCE!
Answer:
1 : 15
2: 12
3: 52
4: 27.3
Step-by-step explanation:
For #1:
if line m and n are perpendicular then they will create right angles
Right angles have a measure of 90 degrees
That being said we can find the measure of the missing angle by subtracting the measure of the known angle (75) from 90
so k = 90 - 75
90 - 75 = 15
Hence k = 15.
For #3 ( very similar to #1, only difference is the values of the angles )
so R = 90 - 38
90 - 38 = 52
Hence, R = 52
For #2 and #4
Complementary angles have a sum of 90°
So like the previous questions we can find the measure of the missing angle by subtract the measure of the given angle from 90
∠V = 90 - 78
90 - 78 = 12
Hence ∠V = 12
∠Y = 90 - 62.7
90 - 62.7 = 27.3
Hence ∠Y = 27.3
What is the median for the numbers 1,2,3,4,5,6,7,8,9,10??
Thanks
Answer:
5.5
hope this helps
have a good day :)
Step-by-step explanation:
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade
Answer:
I agree with Noah's Method because following PEMDAS you have to do exponents first. 10^3 is 1000 and then you can add the 20. Jada's method is incorrect because you cannot add the two together.
pls help!!!!!!!!!!!!!!!
Answer: The radius would be twelve
Step-by-step explanation:
The radius of a sphere would be 12 cm. By putting the value of volume we can find the radius of the sphere. The radius of a sphere would be 12 cm.
A boat is spotted in the water with an angle of depression of 25degrees from the top of a lighthouse that is 89 feet tall. How far away , to the nearest foot, is the boat from the lighthouse ?
Answer:
191 Feet.
Step-by-step explanation:
Answer: Your answer should be 191!
i need to find the square root of √16
Answer:
4
Step-by-step explanation:
I don't know how to explain this other than use a calculator.
Hope that this helps!
What can you tell about the mean of each distribution?
Answer:
I'm sorry I don't know ♀️
Answer:
b
Step-by-step explanation:
Solve for x (geometry)
In circle Q with m PQR = 82 and PQ = 5 units, find the length of arc PR.
Round to the nearest hundredth.
The length of arc PR to the nearest hundredth is 7.15 units
How to calculate the length of an arcThe formula for calculating the length of an arc is expressed as:
L = r theta
Given the following parameters
r = PQ = 5 units
theta = <PQR = 82π/180 rad
Substitute to have:
L = 5 * 82π/180 rad
L = 7.15 units
Hence the length of arc PR to the nearest hundredth is 7.15 units
Learn more on length of an arc here; https://brainly.com/question/2005046
Answer: The answer is 7.16.