A manufacture has been selling 1300 television sets a week at $390 each. A market survey indicates that for each $25 rebate offered to a buyer, the number of sets sold will increase by 250 per week. a) Find the demand function p ( x ) , where x is the number of the television sets sold per week.
Answer:
P = - 0.1x+520
Step-by-step explanation:
Finding the demand function p ( x ) , where x is the number of the television sets sold per week.
each $25 rebate offered to the buyer, the number of sets sold will increase by 250 , hence slope = -25/250 = -1/10 Equation will be
P-390/x-1300 = -25/250
Cross multiplying
250(P-390) = -25(x-1300)
250p-97500 = -25x+32500
250p = -25x+32500+97500
250p = -25x + 130000
Divide both sides by 250
250p/250 = (25x + 130000)/250
P = - 0.1x+520
Hence, the demand function p(x) is
= - 0.1x+520
16m^2+60m-54
Factor
Can you please help me
Answer:
3. D
4. I
5. E
6. G
7. J
8. B
9. A
10. H
Solve the equation.
512^x= 8
O {3}
O {1/3}
O {-1/3}
O {-3}
Answer:
it's the 2nd one
Step-by-step explanation:
its 1/3
For questions 2 and 3. It is known that the mean diameter of pine trees in a national forest is 9.6 (inches) with a standard deviation 2.4 (inches). Assuming that the tree diameters are distributed normally. If a pine tree is to be selected randomly from this forest, what is the probability that its diameter will fall between 7.2 inches and 14.4 inches?
Answer: 0.8185
Step-by-step explanation:
Let X represents the tree diameters that are distributed normally.
Given: Mean [tex]\mu=9.6\text{ inches}[/tex], Standard deviation [tex]\sigma=2.4\text{ inches}[/tex]
The probability that its diameter will fall between 7.2 inches and 14.4 inches will be:
[tex]P(7.2<X<14.4)=P(\dfrac{7.2-9.6}{2.4}<\dfrac{X-\mu}{\sigma}<\dfrac{14.4-9.6}{2.4})\\\=P(-1<Z<2)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=P(Z<2)-P(Z<-1)\\\\=P(Z<2)-(1-P(Z<1))\\\\=0.9772-(1-0.8413)=0.8185\ [\text{By p-value table}][/tex]
Hence, required probability = 0.8185
All of the following expressions are equivalent to 12w + 6, except:
(3 + 6 w)2
6(1 + 2 w)
-1(-12 w - 6)
-1(12 w - 6)
Answer:
Except for -1 (12w - 6).
the sum of 2 numbers is 21 the second number is six times the first
Answer:
[tex]\huge\boxed{\text{Numbers: 3, 18}}[/tex]
Step-by-step explanation:
We can create two equations and solve the system of equations to find both the numbers. Let's represent the numbers as a and b.
We can create two equations:
[tex]a+b=21[/tex]
[tex]b=6a[/tex]
We can now substitute the value of b (6a) into the first equation.
[tex]a + (6a) = 21[/tex]
Combine like terms:
[tex]7a=21[/tex]
Divide both sides by 7:
[tex]a=3[/tex]
Now we know the first number is 3. We can plug this value into one of the equations to find b. Let's plug it into [tex]b=6a[/tex].
[tex]b = 6 \cdot 3\\\\b = 18[/tex]
So our numbers are 3 and 18.
Hope this helped!
Step-by-step explanation:
We can create two equations and solve the system of equations to find both the numbers. Let's represent the numbers as a and b.
We can create two equations:
a+b=21a+b=21
b=6ab=6a
We can now substitute the value of b (6a) into the first equation.
a + (6a) = 21a+(6a)=21
Combine like terms:
7a=217a=21
Divide both sides by 7:
a=3a=3
Now we know the first number is 3. We can plug this value into one of the equations to find b. Let's plug it into b=6ab=6a .
b=6⋅3
b=18
So our numbers are 3 and 18.
Hope this helped!
3x - 6 = 8x + 14 Please help me and thank you.
Answer:
x = -4
Step-by-step explanation:
3x - 6 = 8x + 14
-6 = 5x + 14
-20 = 5x
-4 = x
x = -4
ratios. 12 yards to 9 feet
Since one yard is equivalent to three feet, you can multiply the number of yards by 3 to convert from yards to feet. 36 feet are equal to 12 yards times 3 feet per yard. Consequently, 12 yards are equal to 36 feet.
What does the term "yard" mean?A unit of length equivalent to 3 feet, or around 0.914 metres.
Both the US Customary and British Imperial Systems of Measurement use yards as a measure of length. Yd is its symbol. The length of medium-sized objects is frequently measured using it.
What is an illustration of one yard?About half the length of a bed is a yard. wider than a huge refrigerator. the elevation of a countertop.
To know more about Yard visit:
https://brainly.com/question/28365360
#SPJ1
3x^2+x-6
Can you factor this?
Answer (it stays the same):
[tex]3x^{2} + x - 6[/tex]
I hope this helps!
Find equation for a vertical line passing through the point (-12,-4)
Answer:
x = -12
Step-by-step explanation:
This is a vertical line, so the equation will be of the form x = k, where k is any x-value.
The conclusion that x = -12 was found because the x-value in the point was -12.
Andre and Elena are solving this system of equations: y=3x,
y=9x−30
Andre's first step is to write: 3x=9x−30
Elena’s first step is to create a new system: {3y=9xy=9x−30
Do you agree with either first step? If so which one and explain your reasoning
It should be noted that when Andre and Elena are solving this system of equations, the first step is correct but the others are wrong.
How to illustrate the information?It should be noted that an equation is used.to show the relationship between the expressions that are given.
It should be noted that Andre and Elena are solving this system of equations: y=3x, y=9x−30.
This will be equated to this:
3x = 9x - 30
Collect like terms
9x - 3x = 30
6x = 30
Divide
x = 30 / 6
x = 5
Note that y = 3x = 3 × 5 = 15
Therefore, it should be noted that when the value of y is 15 and only the first step is correct.
Learn more about equations on:
https://brainly.com/question/2972832
#SPJ1
HELP PLEASE WILLMARK BRAINLIEST
Answer: D
Step-by-step explanation:
13 + ( 4 ÷ 2) × 5 - 17 =? The 4 the number 3 is next to it but it's suppose to look like the small one.
Answer:
6
Step-by-step explanation:
13 + (4÷2) * 5 - 17
= 13 + 2* 5 - 17
= 13 + 10 - 17
= 23 - 17
= 6
The capacities (in ampere-hours) were measured for a sample of 120 batteries. The average was 178 and the standard deviation was 12. Find a 95% lower confidence bound for the mean capacity of this type of battery. Round the answer to two decimal places. The lower confidence bound is .
Answer: A 95% lower confidence bound for the mean capacity of this type of battery = 175.85
Step-by-step explanation:
Given: The capacities were measured for a sample : n= 120 batteries.
[tex]\overline{x}=178[/tex] and [tex]\sigma=12[/tex]
lower confidence bound= [tex]\overline{x}-z^c\times\dfrac{\sigma}{\sqrt{n}}[/tex]
Critical z value for 9%% confidence = 1.96
So, a 95% lower confidence bound for the mean capacity of this type of battery will be :
[tex]178-(1.96)\dfrac{12}{\sqrt{120}}\\\\=178-(1.96)(1.0954451)\\\\=(1.96)(1.0954451)\approx175.85[/tex]
Hence, a 95% lower confidence bound for the mean capacity of this type of battery = 175.85
A population has a mean of 200 and a standard deviation of 50. Suppose a random sample of 100 people is selected from this population. What is the probability that the sample mean will be within /- 5 of the population mean
Complete Question
A population has a mean of 200 and a standard deviation of 50. Suppose a random sample of 100 people is selected from this population. What is the probability that the sample mean will be within [tex]\pm 5[/tex] of the population mean
Answer:
The value is [tex]P(195 < X < 205 ) = 0.6827 [/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 200[/tex]
The population standard deviation is [tex]\sigma = 50[/tex]
The sample size is [tex]n = 100[/tex]
Generally the standard error of sample mean is mathematically represented as
[tex]s = \frac{ \sigma }{\sqrt{n} }[/tex]
=> [tex]s = \frac{50 }{\sqrt{100} }[/tex]
=> [tex]s =5[/tex]
Generally the limits of [tex]\pm 5[/tex] within the population mean is mathematically represented as
[tex]a = \mu - 5[/tex]
=> [tex]a = 200 - 5[/tex]
=> [tex]a = 195[/tex]
and
[tex]b = \mu + 5[/tex]
=>[tex]b = 200 + 5[/tex]
=>[tex]b = 205[/tex]
Generally the probability that the sample mean will be within [tex]\pm 5[/tex] of the population mean is mathematically represented as
[tex]P(a < X < b ) = P(\frac{a - \mu }{s} < \frac{X - \mu }{s} < \frac{b - \mu }{s} )[/tex]
=> [tex]P(195 < X < 205 ) = P(\frac{ 195- 200 }{5} < \frac{X - \mu }{s} < \frac{205 - 200 }{5} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P(195 < X < 205 ) = P(-1< Z<1 )[/tex]
=> [tex]P(195 < X < 205 ) = P(Z < 1) - P(Z<-1 )[/tex]
Generally from the z -table the probability of (Z < 1) and (Z<-1 ) is
[tex]P(Z < 1)= 0.84134[/tex]
and
[tex] P(Z<-1 ) = 0.15866 [/tex]
So
[tex]P(195 < X < 205 ) = 0.84134 - 0.15866 [/tex]
[tex]P(195 < X < 205 ) = 0.6827 [/tex]
A shoe store provides women’s shoes for sizes 5 to 11. Write a compound inequlity for shoes sizes they do not
provide for.
Answer: x<5 or x>11
Step-by-step explanation:
What is the equation of the graphed line written in
standard form?
O x=-3
O y=-3
O x + y = -3
O x-y=-3
Answer: y=-3
Step-by-step explanation:
12 coaches and 30 player how many groups can be forms
Answer:
The biggest number of groups that can be formed is 6, because six is the greatest common factor of 12 and 42. There will be 2 coaches in each group because 6 x 2 = 12 and 7 players in each group because 7 x 6 = 42.
Step-by-step explanation:
hope that helped
please answer asap!!
Answer:
MON= 15
Step-by-step explanation:
9x+44+6x+3=77
15x+47=77 subtract 47 from both sides
15x=30 divide both sides by 15
x=2
6x+3
(6*2)+3
12+3=
15
Hope this helps
g The probability of rolling a single die and obtaining a two is one-sixth. The probability of rolling a single die and obtaining a five is one-sixth. What is the probability of rolling a single die and obtaining either a two or a five
Answer:
33.33% or [tex]\frac{2}{6}[/tex]
Step-by-step explanation:
A single die has a total of six different possible outcomes (1, 2, 3, 4, 5, 6). Since the numbers two and five are only two of the six possible outcomes that means that the possibility of getting one of these two numbers on a single roll is [tex]\frac{2}{6}[/tex] . If we divide this fraction and multiply the result by 100 (0.333 * 100 = 33.33) we see that there is a 33.33% chance of you rolling either a two or a five.
plz help plzzz WILL GIVE BRAINLEST
Answer:
1.2876 is the answer I got.
y=3/4x -1 find the slope and the y intercept PLEASE ALOT OF POINTS
Answer:
slope 3/4
y intercept -1
Step-by-step explanation:
y=mx+b
m=slope
b=y intercept
Answer:
Slope-3/4
Intercept-(0,-1)
Step-by-step explanation:
A. K=3/2 and y=15
B. K=1/4 and y=5
Answer:
A.K= 2/3 Y=15
SORRY I ONLY DID A
Subtract 2(1/2) - 4(1/4)
A. -2(1/4)
B. -1(3/4)
C. 1(3/4)
D. 7(3/4)
How many ways can a store manager arrange a group of 1 team leader and 3 team workersfrom his 25 employees
Answer:
2300 waysStep-by-step explanation:
in this problem, we are expected to use commination to arrive at a solution
Given data
number of employee= 25
number of team=3
The expression for combination is given as
C(n,r)=(nr)=n!/(r!(n−r)!)
C(25,3)=25!/(3!(25−3)!)
C(25,3)=25!/(3!(22!)
C(25,3)=25*24*23*22!/3!(22!)
C(25,3)=25*24*23*/3!
C(25,3)=25*24*23*/3*2*1
C(25,3)=25*24*23*/6
C(25,3)=13800/6
C(25,3)=2300 ways
The number of ways where a store manager arranges a group is 50,600.
Given that,
There is a group of 1 team leader and 3 team workers from his 25 employees.Based on the above information, the calculation is as follows:
[tex]= ^25C_4 \times 4C_1\\\\= \frac{25!}{4!(25-4)!} \times \frac{4!}{1!(4-1)!} \\\\= \frac{25!}{4! \times 21!} \times \frac{4!}{1! \times 3!} \\\\= 12,650 \times 4[/tex]
= 50,600
Therefore we can conclude that the number of ways where a store manager arranges a group is 50,600.
Learn more: brainly.com/question/16115373
The measures of two vertical angles are 58° and (3x + 4)". Find the value of x.
Answer:
x = 18°
Step-by-step explanation:
Vertical angles can be defined as a pair of angle formed when two (2) lines intersect. These angles formed during the intersection of the two (2) lines are opposite to each other.
Hence, vertical angles are always equal to one another.
From the question, we have;
58° = (3x + 4)°
Rearranging the equation;
[tex] 3x = 58 - 4[/tex]
[tex] 3x = 54[/tex]
[tex] x = \frac{54}{3}[/tex]
x = 18°
Therefore, the value of x is 18 degrees.
The expression on the left side of an equation is shown below.
-6x+6-0
If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the
equation?
-6
1
-6x
- 6x+6
D: -6x +6
Step-by-step explanation: Told ya.............
If f(x)=6x2-4, what is f(1)?
Answer:
f−1(x)=√6(x+4)6,−√6(x+4)6
Plz let me know if im wrong!!!
Answer:
are u sure this is written correctly?
Using exponents, what is the simplified form of 15x6/3x2
F. 5x"
G. 5x3
H. 5x
I. 5
Answer:
[tex] \frac{15 {x}^{6}}{3 {x}^{2} } = 5 {x}^{4} [/tex]