Answer:
The new expression is: 12 x^2 - 12 x+ 30
Step-by-step explanation:
if C = x^2 + 7
and
D = 3 x^2 - 4 x + 3
Then, 3 C + 3 D can be obtained via:
3 ( x^2 + 7 ) + 3 ( 3 x^2 - 4 x + 3 ) = 3 x^2 + 21 + 9 x^2 - 12 x + 9 =
= 12 x^2 - 12 x+ 30
An advertising agency notices that approximately 2 in 50 potential buyers of a product sees a given magazine ad, and 1 in 7 sees a corresponding ad on television. One in 100 sees both. One in 5 actually purchases the product after seeing the ad, 1 in 10 without seeing it. What is the probability that a randomly selected potential customer will purchase the product
Answer:
the probability that a randomly selected potential customer will purchase the product is 0.11728
Step-by-step explanation:
Given the data in the question;
by hypothesis, let the event be given as;
M = buyers sees a given magazine ad of the product
T = buyers sees a given television ad of the product
[tex]P_{A}[/tex] = buyer purchases the product after seeing the ad
[tex]P_{A"}[/tex] = buyer purchase the product without seeing the ad
from the information given in the question;
P(M) = (2/50 ) = 0.04, P(T) = ( 1/7) = 0.1428, P(M∩T) = (1/100) = 0.01,
P([tex]P_{A}[/tex]) = (1/5) = 0.2, p( [tex]P_{A"}[/tex] ) = (1/10) = 0.1
now, the probability that the buyer sees the ad of the product will be;
P( M ∪ T ) = P( M) + P(T) - p( M ∩ T)
P( M ∪ T ) = 0.04 + 0.1428 - 0.01
P( M ∪ T ) = 0.1728
The probability that the buyer does not see the ad of the product will be;
P( M ∪ T )' = 1 - P( M ∪ T )
= 1 - 0.1728
= 0.8272
Now, the probability that a randomly selected potential customer will purchase the product will be;
P(P) = P([tex]P_{A}[/tex]) P( M ∪ T ) + p( [tex]P_{A"}[/tex] )P( M ∪ T )'
P(P) = (0.2)(0.1728) + (0.1)(0.8272)
= 0.03456 + 0.08272
P(P) = 0.11728
Therefore, the probability that a randomly selected potential customer will purchase the product is 0.11728
Find the measure of angle2
A. 90
B. 50
C. 60
D. 30
which of the following graphs describes the solution set of -4/5x-13/5>=-9?
Answer:
Hey Bud
your answer is x ≤ 8
Step-by-step explanation:
should be closed dot pointing to the negative numbers
Let's solve your inequality step-by-step
Step 1: Simplify both sides of the inequality.
Step 2: Add 13/5 to both sides.
Step 3: Multiply both sides by 5/(-4).
help, i need you to find the area
Answer:
98
Step-by-step explanation:
Formula Base * Height
7*14=98
Answer:
77 inches
Step-by-step explanation:
The formula for area of a trapezoid is [tex]\frac{b_{1} + b_{2}}{2} h[/tex]. In this case, first add base 1 (8) + base 2 (14) to get 22. Now divide 22/2 to get 11. Now multiply 11 by the height (7), to get 77 in.
Hope it helps!
How do you simplify (5g^4h^3)^3? Simplify using exponent rules, please do not completely answer
Answer:
5^3·g^12·h^9 or 125g^12·h^9
Step-by-step explanation:
My question is 11a=88
Answer:
a = 8
Step-by-step explanation:
11a = 88
divide both sides by 11.
a = 8
Can someone help please.?
Answer:
D) [tex]\frac{(-p)}{(-3q)}[/tex]
Step-by-step explanation:
This option is the only correct one. To solve for this, insert the numbers into the equation: [tex]\frac{(-6)}{(-3x2)}[/tex]. To solve this, first multiply -3 s 2 at the denominator to get -6. Now divide -6 divided by -6 to get 1. The number 1 is greater than -9. All of the other options have answers that equal -9.
Hope it helps!
What is the fraction that is equivalent to 3/5
Answer:
6/10
Step-by-step explanation:
Answer:
6/10
Step-by-step explanation:
hope this helps
Find the value of x in the triangle shown below
Answer:
Step-by-step explanation:
x=[tex]\sqrt{12^{2} +16^{2} }[/tex]
x=20
Which inequality is NOT true?
A 65.7 < 67.54
B 4.003 > 4.03
C 26.4 < 26.48
D 0.91 > 0.097
Answer:
b
Step-by-step explanation:
it's b and mark me brainlist plaese
Math PLEASE HELP IM SO CONFUSED IM ATTACHING THE SLIDES!!!!
Answer:
x = 19, TS = 22Step-by-step explanation:
Use ratios to solve for x. Corresponding sides have same ratio.Q1
(x + 5)/30 = (36 - 20)/20(x + 5)/30 = 16/20 = 4/55(x + 5) = 4(30)5x + 25 = 1205x = 95x = 19Q2
(5x - 2)/(3x + 1) = 39/26(5x - 2)/(3x + 1) = 3/22(5x - 2) = 3(3x + 1)10x - 4 = 9x + 310x - 9x = 3 + 4x = 7TS = 3x + 1 = 3(7) + 1 = 22
if a number n is a multiple of two,then n is even.
Answer:
yes any multiple of 2 is even
Simplify each expression. Justify each step
4 x 9 x 50 =
Plz fast
3x +8y+13x need help ASAP
Answer:
16x + 8y
Step-by-step explanation:
Answer:
16x+8y
Step-by-step explanation:
3x +8y+13x
combine like terms
16x+8y
What is the answer to this question?
2. Is APYT an acute, right, or obtuse triangle?
Т.
8 in.
12 in.
P
Y
6 in.
Answer:
OBTUSE
Step-by-step explanation:
We can determine this based on the the pythagorean theorem!
[tex]a^{2}+ b^2 = c^2[/tex]
With Pythagorean Theorem, c is the longest length in the triangle... So, if c = a squared plus b squared, then it is a right triangle! If c is less, it is acute, and finally, if C is more than the two - then it is obtuse!
So let's see...
[tex]8^{2} +6^2 ? 12^2\\64 + 36 ? 144\\100 < 144[/tex]
This is an OBTUSE triangle, since c adds up to be more than a and b.
#SpreadTheLove <3
13.6z - 11 = -1.48.
can u please show the work for it
Step-by-step explanation:
13.6z - 11 = -1.48.
13.6z=-1.48+11
z=9.52/13.6=0.7
Solve for d in terms of r.
r=d/2
d=
Answer:
Step-by-step explanation:
r=d÷2
Multiply both sides by 2
d=2r
Please mark brainliest.
d = 2r
What is simplification?Simplification means to make any equation simple or any large equations to a simple form, simplification can be done with mathematical formula and done for all operators in mathematics.
Given r = d/2
when we transfer digits to other sides of equal they change their sign,
plus tends to minus or vice versa,
and multiply tends to divide or vice versa.
so d = 2r
Hence the solution for d is 2r
Learn more about simplification;
https://brainly.com/question/28996879
#SPJ2
find the l distance between (-13,3.5) and (17,2)
3x-7 if x =6 i need help plz
11
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
Identify if the sequence is arithmetic, geometric, or neither. 9, 7, 5, 3, ...
Answer:
arithmetic
..........
what are the coordinates of the final point?
9514 1404 393
Answer:
(5, -8)
Step-by-step explanation:
Reflection over the y-axis negates the x-coordinate. Translation down 3 subtracts 3 from the y-coordinate. The resulting transformation is ...
(x, y) ⇒ (-x, y-3)
(-5, -5) ⇒ (5, -8)
The coordinates of the final point are (5, -8).
can somebody please help
a. 44.5
b. 15
c. 37.5
d. 26.25
Answer:
I think c
Step-by-step explanation:
not completely sure cant see question
8) x - 5y = -15
x - 2y = -12
Answer:
If solving for X. (didn't know if you were solving for X or Y.
x=2y-12
x=5y-15
Step-by-step explanation:
x-2y=-12
+2y on both sides
x=2y-12
x-5y=-15
+5y on both sides
x=5y-15
Answer:
x = -10
y = 1
Step-by-step explanation:
x - 5y = -15
x - 2y = -12
__________--
-3y = -3
y = -3/-3
y = 1
x - 2y = -12
x - 2(1) = -12
x - 2 = -12
x = -12 + 2
x = -10
Does the equation represent a function? * (WILL GIVE BRAINLIEST IF RIGHT)
y = x^2 + 36
Yes this is a function because for any input value (x) you will get a unique output value (y).
how many times greater is 6x10⁹ than 3x10²
Solve B/3= 18
Please help
Answer:
[tex]b=54[/tex]
Step-by-step explanation:
Solve for [tex]b[/tex] by simplifying both sides of the equation, then isolating the variable.
Hope this helps :)
-ilovejiminssi♡
Answer:
B=54
Step-by-step explanation:
B/3=18
B=18×3
so, B=54
Ans
3r^2 if r = 1/6 can someone help me please.
Answer:
Step-by-step explanation:
Answer:
f = 1/18ir^3
Step-by-step explanation:
Let's solve for f.
3r2ifr=1/6
Step 1: Divide both sides by 3ir^3.
3fir3/3ir3 =1/6/3ir3
f=1/18ir3
g(x)=w^2+7w-7 and f(x)=4w-8 and (f+g)(5)=
The value of (f + g)(5) is 65
FunctionFunction relates input to output . Therefore,
g(x) = w² + 7w - 7
f(x) = 4w - 8
Therefore,
(f + g) = w² + 7w - 7 + (4w - 8)
(f + g) = w² + 7w - 7 + 4w - 8
(f + g) = w² + 11w - 15
Finally,
(f + g)(5) = 5² + 11(5) - 15
(f + g)(5) = 25 + 55 - 15
(f + g)(5) = 80 - 15
(f + g)(5) = 65
learn more on functions here: https://brainly.com/question/20624584?referrer=searchResults
Help plz:)))I’ll mark u Brainliest
Answer:
x=20
Step-by-step explanation:
hope this helps
Answer:
X=20
Step-by-step explanation:
enjoy! (Hope u got it right)