Answer:
Step-by-step explanation:
Simplifying
3x + 5 = 2x + 1
Reorder the terms:
5 + 3x = 2x + 1
Reorder the terms:
5 + 3x = 1 + 2x
Solving
5 + 3x = 1 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
5 + 3x + -2x = 1 + 2x + -2x
Combine like terms: 3x + -2x = 1x
5 + 1x = 1 + 2x + -2x
Combine like terms: 2x + -2x = 0
5 + 1x = 1 + 0
5 + 1x = 1
Add '-5' to each side of the equation.
5 + -5 + 1x = 1 + -5
Combine like terms: 5 + -5 = 0
0 + 1x = 1 + -5
1x = 1 + -5
Combine like terms: 1 + -5 = -4
1x = -4
Divide each side by '1'.
x = -4
Simplifying
x = -4
Answer:
x = -4
Step-by-step explanation:
To solve the given equation, we must find a value of x that satisfies the equation.
3x + 5 = 2x + 1
Subtract 2x from both sides.
x + 5 = 1
Subtract 5 from both sides.
x = -4
So the value of x that satisfies the equation is -4. So the solution to the equation would be x = -4.
I hope you find my answer and explanation to be helpful. Happy studying.
Bender Electronics buys keyboards for its computers from another company. The keyboards are received in shipments of 100 boxes, each box containing 20 keyboards. The quality control department at Bender Electronics first randomly selects one box from each shipment and then randomly selects 5 key boards from that box. The shipment is accepted if not more than 1 of the 5 keyboards is defective. The quality control inspector at Bender Electronics selected a box from a recently received shipment of keyboards. Unknown to the inspector, this box contains 6 defective keyboards.
Round your answers to four decimal places.
a. What is the probability that this shipment will be accepted?
P(shipment accepted)=
b. What is the probability that this shipment will not be accepted?
P(shipment not accepted)=
Answer:
(a) 0.5282
(b) 0.4718
Step-by-step explanation:
It is provided that the shipment is accepted if not more than 1 of the 5 keyboards is defective. That is for the shipment to be acceptable there should be at most 1 defective .
It is also provided that the box selected has 6 defective keyboards.
So, the probability of selecting a defective keyboard is, p = 6/20.
Let X = number of defective keyboards.
The random variable X follows a binomial distribution with parameters n = 6 and p = 6/20.
(a)
Compute the probability that this shipment will be accepted as follows:
[tex]P(X\leq 1)=P(X=0)+P(X=1)[/tex]
[tex]=[{5\choose 0}(\frac{6}{20})^{0}(1-\frac{6}{20})^{5}]+[{5\choose 1}(\frac{6}{20})^{1}(1-\frac{6}{20})^{4}]\\\\=0.16807+0.36015\\\\=0.52822\\\\\approx 0.5282[/tex]
Thus, the probability that this shipment will be accepted is 0.5282.
(b)
Compute the probability that this shipment will not be accepted as follows:
P (shipment not accepted) = 1 - P(shipment accepted)
= 1 - 0.5282
= 0.4718
Thus, the probability that this shipment will not be accepted is 0.4718.
8)Find a point R on segment ST such that the length of TR is 2/3 the length of ST. *
Suppose you're given a data set that classifies each sample unit into one of four categories: A, B, C, or D. You plan to create a computer database consisting of these data, and you decide to code the data as A1, B2, C3, and D4. Are the data consisting of the classifications A, B, C, and D qualitiative or quantitative? After the data are input as 1, 2, 3, or 4, are they qualitative or quantitative?
Answer:
The data consisting of the classifications A, B, C, and D are qualitative.
After the data are input as 1, 2, 3, or 4 the data still be qualitative.
Step-by-step explanation:
The data consisting of the classifications A, B, C, and D are qualitative because data is categorized in A B C and D categories.
When the data are input as 1,2,3 or 4 it would be still be qualitative because here 1,2,3 or 4 as used as identifier rather than actual numerical meaningful digits.
A) 7.746
B) 37.947
C) 30.984
D) 33.941
9514 1404 393
Answer:
B) 37.947
Step-by-step explanation:
Using the given formula, we find ...
s = (12 +11 +7)/2 = 15
A = √(15(15 -12)(15 -11)(15 -7)) = √1440 = 12√10 ≈ 37.947 . . . square yards
The circus had 43,475 guests last year. The fair had 8,034 fewer guests
than the circus. How many guests did the fair have?
Answer:
This year, the circus had 35,441 guests.
Step-by-step explanation:
You just subtract 8,034 from 43,475.
I really hope this helped you!
Anyone know how to evaluate this?
Odd number between 3 and 19
Answer:
11, there both 8 away so its right in ze middle :D
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
A
Step-by-step explanation:
it just is.
Answer:
a sq rt 38
Step-by-step explanation:
a=6.1
b=5.9
c=6.7
d=6.9
a is closet to dot between 6 and 7
the cost of the t shirts in dollars is given by the equation c=9.5t, where c is the total cost of the t-shirts and t is the number of t-shirts . If sanjay bought 14 t shirts , how much did he pay?
9514 1404 393
Answer:
$133
Step-by-step explanation:
Put 14 where t is in the formula and do the arithmetic.
c = -9.5×14
c = 133 . . . . cost in dollars
Sanjay paid $133 for the 14 t-shirts he bought.
A boy gets 560 marks out of 700. What is the percentage of his marks?
Answer:
80%
Step-by-step explanation:
lets say he gets x%, which is x/100.
then the equation is: 560/700=x/100
and to solve it, first multiply each side by 700: 560=7x
then divide both sides by 7, and you get: x=80
so the answer is 80%
Which is the value of this expression when a=5 and k=-2?
[3^2a^-2]^k
[3a^-1]
Answer: 125/27 as a decimal 4.62963
Step-by-step explanation:
((32)(5−2))−2(3(5−1))
((32)(5−2))−2(3(5−1))
3/4 5/6 16/25 9/15 smallest to largest
Answer:
All you need to do is find a common denomianatorand then solve from least to greatest hope this helps!
Step-by-step explanation:
To arrange thse fractions from smallest to greatest let us first change them into a fraction with a common denominator . Which means ;
= 3/4 = 225/300
= 5/6 = 250/300
= 16/25 = 192/300
= 9/15 = 180/300
Therefore , these fractions arranged from the smallest to the largest are :-
9/15 , 16/25 , 3/4 , 5/6 .La representacion algebraica de 8 menos que cinco veces un numero es
Responder:
Tu ecuación debería verse así, 5⋅n − 8
Explicación paso a paso:
No se puede hacer nada más con este tema. Verifique la expresión ingresada o pruebe con otro tema.
What are the x-intercepts of the graphed function?
Answer:
(1,0) and (-3,0)
Step-by-step explanation:
It is because at those points on the graph is where the graphed function crossed the x-axis.
Help meeee pleaseeeeee
Answer: A.) y=-2/3x-3
Due Wed 10/21/2020 11:30 po
The length of a rectangle is 3 inches more than the width. The area is 28 square inches. Find the dimensions.
inches.
The length of the rectangle is
inches, while the width is
C
Get Help:
Video
eBook
Points possible: 1
Unlimited attempts.
MA
Submit
11)
/1)
311)
0111
Answer:
MARK AS BRAINLIST
w = 4
L = 7
Step-by-step explanation:
L = length of rectangle
w = width of rectangle
L = 3 + w
A = 28
A = L*w
=(3+w) * w
28 = 3w + w^2
w^2 + 3w - 28 = 0
w^2 + 7w - 4w - 28 = 0
w ( w + 7 ) - 4 ( w + 7 ) =0
( w - 4 ) ( w + 7 ) = 0
w = 4. and w = -7
take the postive value, w = 4
therefore L= 3+4 = 7
Joe told Mickey he got an hourly raise at work and his new rate will be $10.25 per hour. Mickey wants to know what Joe’s hourly rate was before his raise. If r represents the amount of the raise, which expression represents Joe’s hourly rate before his raise?
r minus 10.25
10.25 minus r
10.25 + r
r + 10.25
Answer:
10.25 minus r
Step-by-step explanation:
because amount of money minus how much the raise was equals what he had before.
Answer:
✨b✨
Step-by-step explanation:
1/6 times 3/5 in simplist form
Answer:
0.1
Step-by-step explanation:
What is the middle term of ( 2x-4)2
Answer:
-16x
Step-by-step explanation:
step 1
[tex](2x-4) (2x-4)[/tex]
step 2
[tex]4x^{2} - 8x - 8x +16[/tex]
step 3
[tex]4x^{2} -16x +16[/tex]
answer
-16x
Pls help
I have this question and I can’t figure it out
Start by crossing out absurd answers, it helps a lot. Then you're left with two and choose the correct answer by doing the math
Step-by-step explanation:
cross the ones that you think are not right
Could someone help me with 19 please :)
Answer:
Step-by-step explanation 我认为那是一个美好的一天
Wǒ rènwéi nà shì yīgè měihǎo de yītiān
Answer:
wouldn't that just make it -2 1/4 + 9?
Step-by-step explanation:
because f just means +9
I buy a printer for $125 and ink cartridges cost $15 each. Explain the relationship between the cost of ink cartridges and the total cost.
Answer:
125+15c=t
Step-by-step explanation:
Every cartridge is worth $15, so that would be 15c aka 15 x however many cartridges you purchase. Then the printer is $125, and its not changing so there will be no variable. Put those two amounts together and you'll get the total cost. (Hopefully I explained this well enough.)
Jordan Ellen recycle cans Jordan recycle seven cans for every 12 cans Ellen recycled last week how many total cans did Jordan and Ellis recycle last week.
Answer:
Ellen sold 42 cans and they sold 114 cans lastweek (both Ellen and Jordan)
Step-by-step explanation:
The oroginal ratio is 7:12 for every 12 cans ellen collects Jordan collects 7 so inorder to find the number of cans Ellen sold you have to figure out what 7 was multiplied by to get 42, and that would be 6. Then you multiply 12 by 6 and get 72 so ELlen sold 72 cans.
Now the new ratio is 42:72 when you add them together you get 114 so they sold (together) 114 cans last week.
HOPE THIS HELPS ↖(^ω^)↗
WILL GIVE BRAINLIEST!! Which is the equation of a line that has a slope of 4 and passes through point (1, 6)?
a
y = 4x + 6
b
y = 4x + 2
c
y = 4x – 2
d
y = 4x – 3
Each student was asked to create an expression whose quotient is 1/3. Each student and their response can be seen in the table below. Which students have answered correctly? Select all that apply. A. Angela B. Ben C. Chris D. Denice E. Elizabeth
Answer:
Pretty sure its Chris
Step-by-step explanation:
I've done this work and the only one with the answer is him.
When solving the equation x-5=-12 what should you do to both sides of the equation?
A: add 5
B: subtract 5
C: multiply by 5
D: divide by 5
Answer: B. subtract
Step-by-step explanation: x-5=12
5-5
Answer:
Hello. The answer is A.
Step-by-step explanation:
You should add five to left side to make x alone.
For avoiding changing the equation you should add another five to left side.
I hope you understand
Year 6 maths question
btw guys I was wondering what was the most popular NHL team as peoples favorites so answer with yours
Answer:
well in my opinion i love the the Dallas cowboys
Answer:
Columbus Blue Jackets
Step-by-step explanation:
Let g be the piecewise defined function shown.
g(x)=
x + 4, −5 ≤ x ≤ −1
2 − x, −1 < x ≤ 5
Evaluate g at different values in its domain.
g(−4) =
g(−2) =
g(0) =
g(3) =
g(4) =
Answer:
Yup 0,2,2,-1,-2
Step-by-step explanation:
Edg 2020
The value of g(-4) for the given function g(x)=x+4 is 0.
What are piecewise functions?Piecewise functions are functions that have multiple pieces, or sections. They are defined piece by piece, with various functions defining each interval. Piecewise functions can be split into as many pieces as necessary. Each piece behaves differently based on the input function for that interval. Pieces may be single points, lines, or curves.
For −5 ≤ x ≤ −1
Lets take all range of values of x
g(-5) = x + 4 = -5 + 4 = -1
g(-4) = x + 4 = -4 + 4 = 0
g(-3) = x + 4 = -3 + 4 = 1
g(-2) = x + 4 = -2 + 4 = 2
g(-1) = x + 4 = -1 + 4 = 3
For −1 < x ≤ 5
Lets take all range of values of x
g(0) = 2 - x = 2 - 0 = 2
g(1) = 2 - x= 2 - 1 = 1
g(2) = 2 - x= 2 - 2 = 0
g(3) = 2 - x= 2 - 3 = -1
g(4) = 2 - x= 2 - 4 = -2
g(5) = 2 - x= 2 - 5 = -3
Therefore, the value of g(-4) for the given function g(x)=x+4 is 0.
Learn more about the piecewise function here:
https://brainly.com/question/12700952.
#SPJ3
What is the mean of 5, -15, 7, -13, 1
Answer:
-3
Step-by-step explanation:
Add them all up and then divide by 5
