Answer:
$ 1100
Step-by-step explanation:
Let p(x) be the price he charges for a car after x price reductions.
Since car costs him $10,000, and fixed costs are $1000
p(x) = 13000-10000-1000-300x = 2000 - 300x
Let q(x) = 12 + 2x the quantity of cars sold after x price reductions.
and the profit he can make are given by:
Profit = R(x) = (12+2x)(13,000 - 10,000 - 1,000 - 300x) dollars.
As you can see, maximizing profit , we have to check where P'(x) = 0
And P''(x)<0.
So we get x = 3.
Replacing the value we get we get 2000 - 300 X 3 = 2000 - 900
= $ 1100
]
What is the product of (x−4) and (x2−7x+10)?
x2−6x+6
x2−8x+14
x3−11x2+38x−40
x3−3x2−18x−40
Rewrite the expression by factoring out (y-2).
3y?(y-2)-2(y-2)
Answer:
− y =3 y
Step-by-step explanation:
Simplify
2
−
(
y
+
2
)
.
Tap for more steps...
−
y
=
3
y
Move all terms containing
y
to the left side of the equation.
Tap for more steps...
−
4
y
=
0
Divide each term by
−
4
and simplify.
Tap for more steps...
y
=
0
Write the following in descending order.
I. 0.1 II. 0.009 III. 0.09 IV. 1
A. I, III, II, IV
B. III, I, IV, II
C. II,IV, I, III
D. IV, I , III, II
Answer:
IV, I, III and II
Step-by-step explanation:
Given
I. 0.1 II. 0.009 III. 0.09 IV. 1
Required
Write in descending order
In descending order means, from greatest to least.
From the given list of numbers,
The greatest is 1 (IV)
Followed by 0.1 (I)
Followed by 0.09 (III)
Then, the least is 0.009 (II)
So, the order is: IV, I, III and II
help solve for x. round to the nearest tenth
Answer:
60.1
Step-by-step explanation:
Use cosine for this one- you get cos37 = adjacent/hypotenuse, or cos37 = 48/x
Solve for x and x = 48/cos37, or 60.1
Hopefully this helps! Let me know if you have any questions
Answer:
Pretty sure it's 60.1
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis against using a random sample of specimens. Calculate the P-value if the observed statistic is . Suppose that the distribution of the sample mean is approximately normal.
Complete question :
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis H0 : μ = 12 against H1 : μ < 12 using a random sample of n = 4 specimens. Calculate the P-value if the observed statistic is xbar = 11.5. Suppose that the distribution of the sample mean is approximately normal.
Answer:
0.02275
Step-by-step explanation:
Given :
Population mean μ = 12
Standard deviation, σ = 0.5
Sample size, n = 4
Observed statistic, xbar = 11.5
H0 : μ = 12
H1 : μ < 12
The test statistic = (xbar - μ) ÷ σ/sqrt(n)
Test statistic =. (11.5 - 12) ÷ 0.5/sqrt(4)
Test statistic = - 0.5 ÷ 0.5/2
Teat statistic = - 0.5 / 0.25 = - 2
Since, it is stated that, distribution is approximately normal ; then we can use the Z distribution and obtain our Pvalue.
We could obtain P value using the Pvalue Z distribution calculator at α = 0.05, 1 - tail
Pvalue = 0.02275
Or
P(x < - 2) = 0.02275 (Z distribution table)
if 2 angles of a triangle have measures of 58 and 101 degrees what is the measure of the 3rd
Answer:
21 degrees
Step-by-step explanation:
the sum of the three angles in a triangle equal 180. take the known angles (58 and 101) and subtract them from 180. 180-129=21
2 4/10?
round to nearest whole number
Answer: 2
2.5 and up we round up
2.4 and lower we round down
Answer:
2
Step-by-step explanation:
2 4/10
4/10 is less than 0.5 so we round down to 2
In circle B with the measure of minor arc AC= 84°, find m
Answer:
m<ADC = 42°
Step-by-step explanation:
Based on the inscribed angle theorem, the inscribed angle, m<ADC is ½ the measure of minor arc AC.
If minor arc is given as 84°, therefore:
m<ADC = ½(84)
m<ADC = 42°
divide the monomial by the given monomial. (by give process)
24x^3 ÷ 14x^2
Step-by-step explanation:
24x³ ÷ 14x²
= 2 × 2 × 2 × 3 × x × x × x / 7 × 2 × x × x
= (2 × x × x) ( 2 × 2 × 3 × x) / (2 × x × x) x 7
= 12x / 7
Please help find z (use pic)
Answer:
i cant see it will you type it please!
Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevrolet Cruze, and Ford Focus (New York Daily News). The 2017 market shares are Honda Civic 20%, Toyota Corolla 17%, Nissan Sentra 12%, Hyundai Elantra 10%, Chevrolet Cruze 10%, and Ford Focus 8%, with other small car models comprising the remaining 23%. A sample of 400 compact car sales in Chicago showed the following number of vehicles sold.
Honda Civic 98
Toyota Corolla 72
Nissan Sentra 54
Hyundai Elantra 44
Chevrolet Cruze 42
Ford Focus 25
Others 65
Use a goodness of fit test to determine whether the sample data indicate that the market shares for cars in Chicago are different than the market shares suggested by nationwide 2017 sales. Using a 0.05 level of significance, what is the p-value?
The p-value is ___________.
What is your conclusion?
Conclude that the markets shares for the five compact cars in Chicago ______________the market shares reported.
What market share differences, if any, exist in Chicago? Round your answers to three decimal places. Enter negative values as negative numbers.
Sample
Compact Car Market Share Hypothesized Market Share Difference
Honda Civic - 0.20 =
Toyota Corolla - 0.17 =
Nissan Sentra - 0.12 =
Hyundai Elantra - 0.10 =
Chevrolet Cruze - 0.10 =
Ford Focus - 0.08 =
Others - 0.23 =
Answer:
Pvalue = 0.020335
X² = 14.99
CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES
Step-by-step explanation:
H0 : there is no difference in market shares
H1: there is difference in market shares
Chisquare (X²) = (observed - Expected)²/ expected
Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05
Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235
Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75
Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4
Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1
Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531
Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924
X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99
The obtain the Pvalue ;
We use the Pvalue from Chisquare calculator :
Pvalue(14.99, 0.05, df= 6) = 0.020335
Decision region :
Reject H0 ; if Pvalue < α
THERE IS DIFFERENCE IN MARKET SHARES
Market share differences:
* 98/400 = 0.245,
0.245-0.20 = 0.045
* 72/400 = 0.18,
0.18 - 0.17 = 0.01
* 54/400 = 0.135,
0.135 - 0.12 = 0.015
* 44/400 = 0.11,
0.11 - 0.10 = 0.01
* 42/400 = 0.105
0.105 - 0.10 = 0.005
* 25/400 = 0.0625
0.0625-0.08 = -0.0175
* 65/400 = 0.1625
0.1625 - 0.23 = -0.0675
Solve the proportion.
20/16 =d/12 d= pls help
Answer:
d=15
Step-by-step explanation:
Cross multiply 20 * 12 =240
16 * d = 16d
16d=240
d=15
Which data point is an outlier in this graph?
(A) (5,-3)
B) (3,5)
© (-5,3)
D (3,-5)
Answer:
idel
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
5, -3 is not near the other dots making it an outlier
What are the solutions of 12 - x² = 0
Answer:
2sqrt(3),-2sqrt(3)
Step-by-step explanation:
12-x^2=0
-x^2=-12
x^2=12
x=-sqrt(12),sqrt(12)
x=2sqrt(3),-2sqrt(3)
A man orders5 times as many boxes of ballpoint pens as boxes of felt tip pens. Ballpoint pens cost $4.31 per box, and felt tip pens cost$3.44. If the mans order of pens totaled $99.96 how many boxes of each pen did he buy?
Answer:
76.38
Step-by-step explanation:
x = the number of boxes of felt tip pens
5x = the number of boxes of ballpoint pens
5x*4.41 + x*3.41 = 76.38
solve for the following equation
6Y+4 = 4y-2
Answer:
y = -3
Step-by-step explanation:
6y +4 = 4y- 2
2y= -6
y= -3
pls Mark as brainliest
Miguel and Kat are reading the same book. Miguel reads 5 times as many
pages of the book as Kat. Together they read 54 pages. Write an equation
that can be used to find how many pages Kat read.
Answer:
[tex]k=\dfrac{m}{5}[/tex]
Step-by-step explanation:
Let Kat reads k pages of the book.
Miguel reads 5 times as many pages of the book as Kat. So,
m = 5k ...(1)
Together they read 54 pages. i.e.
m+k = 54 ...(2)
From equation (1),
[tex]k=\dfrac{m}5{}[/tex]
Hence, the equation that can be used to find how many pages Kat read is equal to [tex]\dfrac{m}{5}[/tex].
From the figure, your friend concludes that m<BAD > m<BCD. How would you correct your friend's mistake?
Answer:
BC > AD
Step-by-step explanation:
The opposite side to BC is greater, therefore making m<BCD > m<BAD. Since the legs are congruent, this is the only difference that need-be mentioned.
As the opposite angle of a larger side of a triangle is larger hence
m∠BAD > ∠mBCD.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
From the figure itself, ΔABD and ΔBCD share a common side BD.
Given, Side AB is congruent to side CD and Side AD is greater than side BC.
We know opposite angle of a larger side of the triangle is larger.
Therefore, m∠BAD > ∠mBCD.
learn more about congruency here :
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Factor 10x2 – 42x – 108.
Question 20 options:
A)
(5x + 9)(x + 6)
B)
2(5x + 9)(x – 6)
C)
(x + 9)(5x – 6)
D)
2(10x – 9)(x + 6)
Answer:
B
Step-by-step explanation:
You have to know how to factor polynomials.
2(5x^2-21x-54)
2(5x^2-30x+9x-54)
2(5x(x-6)+9(x-6))
2(5x+9)(x-6)
It is a question that has varied answer.
Step-by-step explanation:
most questions have valid us answers actually so yeah
Answer:
Multiplication tables
The question above is what I need to know
Answer:
a
Step-by-step explanation:
Answer:
angles 1 and 3 are supplementary
The circumference of a circle is 15 units. How many units long is its diameter?
Answer:
diameter = 4.78 units
Step-by-step explanation:
15/3.14 = 4.78 units
If a right circular cone is intersected by a plane only at its vertex, as in the picture below, what shape is produced?
Answer:
A right circular cone can be intersected by some plane to produce circle, ellipse, hyperbola depending upon where the plane is crossing the cone.
But if the plane crosses at the vertex. Just one point is crossed.
Answer:
a point hope this helps
When would there be only four different equations for a set of math mountain numbers?
Answer:
Only when any equation you find among those numbers can be simplified into one of the four main equations, which means you only have four different true statements and lots of equivalences. 20 = 40 - 20. As the two addends are the same, so there would be only four different equations for a set of math mountain numbe
Step-by-step explanation:
PLEAAASSSSEEEEE HELP ME WITH THIS I REALLY NEED HELP PLEASE PUT THE CORRECT ANSWER
In △ ABC and △ PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm . Which of the following statements is true ?I
△ ABC ≅ △ QPR
△ ABC ≅ △ QRP
△ ABC ≅ △ RQP
Given:
In △ABC and △PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm.
To find:
The correct congruency statement for the given triangles.
Solution:
In △ABC and △PQR,
[tex]AB=QR=5\ cm[/tex] (Given)
[tex]BC=PQ=6\ cm[/tex] (Given)
[tex]AC=PR=8\ cm[/tex] (Given)
All three corresponding sides of both triangles are equal. On comparing both triangle, it is conclude that the corresponding angles of A, B, C are R, Q, P respectively.
[tex]\Detla ABC\cong \Delta RQP[/tex] (SSS congruency postulate)
Therefore, the correct option is C.
Diego has 200 students in his grade which is 2 times as many as Lin. Lin’s grade has x students. Write this equation.
ILL GIVE BRAINLEIST FAST PLZ 15 POINTS
Answer:
200 ÷ 2 = x
Step-by-step explanation:
Diego has 2 times as many a Lin. That means to find Lin's student number, we would have to split 200 in half.
Hope this helps!
What is the solution to the system of linear equations?
O (-3,0)
O (-3, 3)
O (0, 2)
O (3, 1)
The point of intersection of lines represents the common solution of the system of linear equations. The solution of linear equations given in the graph is (0,2).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Linear equation represents a line on the graph.
The system of linear equations represents couple/s of linear equations or lines.
Here, The solution of system of linear equations means the common point satisfying the different linear equations.
Hence, Graphically, the point of intersection of two lines represents the common solution of these two lines or simply the solution of the system of linear equations.
So, the point of intersection from the given graph is (0,2).
Therefore, the solution of linear equations given in the graph is (0,2).
Learn more about the mathematical expression visit:
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Although television HDTV converters are tested before they are placed in the installer's truck, the installer knows that 20 percent of them still won't work properly. The driver must install eight converters today in an apartment building.
(a) Ten converters are placed in the truck. What is the probability that the driver will have enough working converters?
Answer:
80%
Step-by-step explanation:
10 points || answer ASAP if you can
Answer:
It would affect the mean, range, and standard deviation
Step-by-step explanation:
I got this right on the test :)