Answer:
Because it is a mixed fraction and it should be renamed in order to solve your problem, for the other one CAN NOT be converted into a mixed fraction.
Cast Iron Company, on each nondelinquent sale, receives revenues with a present value of $1,230 and incurs costs with a value of $1,065. Cast Iron has been asked to extend credit to a new customer. You can find little information on the firm, and you believe that the probability of payment is no better than 0.77. But if the payment is made, the probability that the customer will pay for the second order is 0.94. It costs $15.25 to determine whether a customer has been a prompt or slow payer in the past.
Calculate the minimum probability at which credit can be extended. (round answer 2 decimal places)
Answer:
[tex]P=0.866[/tex]
Step-by-step explanation:
From the question we are told that:
Present value of iron [tex]x_v=\$1230[/tex]
Present cost of iron [tex]x_c=\$1065[/tex]
Probability of payment [tex]P_p=0.77[/tex]
Probability that the customer will pay for the second order [tex]P_s=0.94[/tex]
Cost of knowing customer status [tex]x_k=\$15.25[/tex]
Generally the equation for Expected probability [tex]E_p[/tex] is mathematically given by
[tex]E_p=(probability*(revenue-cost)-(1-probability)*present\ value\ of\ cost)[/tex]
[tex]E_p=(P*(x_v-x_c)-(1-P)*X_c)[/tex]
Where
[tex]E_p=0[/tex]
[tex]P=minimum\ probability\ at\ which\ credit\ can\ be\ extended[/tex]
Therefore
[tex]0=(P*(1230-1065)-(1-P)*1065)[/tex]
[tex]165P-1065+1065P=0[/tex]
[tex]P=\frac{1065}{1230}[/tex]
[tex]P=0.866[/tex]
Therefore the minimum probability at which credit can be extended is given as
[tex]P=0.866[/tex]
[tex]P=86.6\%[/tex]
g(x)=2x
h(x)=4x-3
Find (g-h)(2)
Answer:
-1
Step-by-step explanation:
g(x) = 2x
h(x) = 4x - 3
(g - h)x = g(x) - h(x)
g(x) - h(x) = 2x - 4x + 3
g(2) - h(2) = 2*2 - 4*2 + 3
g(2) - h(2) = -4 + 3
g(2) - h(2) = - 1
f(x) = - 2x - 3
g(x) = 3x + 1
Find (f. g)(x).
What is the perimeter of DEFG if D is located (1,2), E is located (2,6), F is located (6,7), G is located (5,3)?
Answer:
B.
Step-by-step explanation:
First find the lengths of the DE and DG
DG=
[tex] \sqrt{(5 - 1) {}^{2} + (3 - 2) {}^{2} } \\ \sqrt{4 {}^{2} + 1 {}^{2} } \\ \\ \sqrt{16 + 1} \\ \sqrt{17} [/tex]
DE=
[tex] \sqrt{(2 - 1) ^{2} + (6 - 2) {}^{2} } \\ \sqrt{1 {}^{2} + 4 {}^{2} } \\ [/tex]
[tex] \sqrt{17} [/tex]
Since both lengths are same that's means all the lengths are same. To find perimeter we need to add all the sides
[tex] \sqrt{} 17 + \sqrt{} 17 + \sqrt{} 17 + \sqrt 17 \\ 4 \sqrt{17} [/tex]
A rectangle has a length of (3x - 4) units and a width of (2x + 3) units,
What is the perimeter of the rectangle in terms of ?
A. (5x - 2) units
B. (5x + 14) units
C. (10x - 2) units
D. (10x + 14) units
Answer:
C. (10x - 2) units
Step-by-step explanation:
Perimeter of a rectangle:
The perimeter of a rectangle of length l and width w is given by:
[tex]P = 2(l + w)[/tex]
A rectangle has a length of (3x - 4) units and a width of (2x + 3) units.
This means that [tex]l = 3x - 4, w = 2x + 3[/tex]
What is the perimeter of the rectangle in terms of x?
[tex]P = 2(l + w) = 2(3x - 4 + 2x + 3) = 2(5x - 1) = 10x - 2[/tex]
The correct answer is given by option C.
Amys older brother works 35 hours each week. if he works 18 dollars an hour how much does he earn in one week.
Answer:
$630 per week
Step-by-step explanation:
I assume the question is asking:
Amy's older brother works 35 hours per week. If he is paid $18 per hour, how much does he earn in one week?
$18/hour* 35 hours/week = $630/week
A janitor can clean 1/9 of a stadium in 1/3 of an hour. If he continues at this rate how much of the stadium can he clean pre hour
Pleaseee Help
What is the area of the shaded sector?
Answer:
40π
Step-by-step explanation:
∅ = 360 - 135 = 225
a = (∅/360) * π * r²
a = (225/360) * π * 8²
a = 40π
Write an equation in slope-intercept form for the following line:
(-14,1) and (13,-2)
Answer:
[tex] \large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]
Step-by-step explanation:
In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
m-term is defined as slope in y = mx+b form which is slope-intercept form.
Now we substitute these ordered pairs (x, y) in the formula.
[tex] \large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }[/tex]
After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is
[tex] \large \boxed{y = mx + b}[/tex]
We already know m-value as we substitute it.
[tex] \large{y = - \frac{1}{9} x + b}[/tex]
We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)
We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.
[tex] \large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}[/tex]
Finally, we know b-value. Then we substitute it in our equation.
[tex] \large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]
What is the mode of the data below?
45, 19, 23, 67, 28, 35, 46, 21, 58, 60, 23, 51
Answer:
23
Step-by-step explanation:
have a good day :)
neeeeeeeeeeeeed help
Answer:
[tex]\huge\boxed{\fcolorbox{green}{pink}{Answer}}
[/tex]
D. 34 lakh
Can somebody tell me exactly what to put in the answer please
Answer:
I am sorry I don't know it, but once I find out I will tell you
Step-by-step explanation:
Answer:
Cylinder has no sharp points but cone as sharp edge.
27leejaey avatar
I hope that helps :D
Step-by-step explanation:
Cylinder has no sharp points but cone as sharp edge.
27leejaey avatar
I hope that helps :D
Solve the problem. Use the Central Limit Theorem. (7) 6) The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches
Answer:
The answer is "0.9192".
Step-by-step explanation:
[tex]\mu=109\\\\\sigma=10\\\\n=25\\\\\to P(\bar{x}< 111.8)=P(\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} < \frac{111.8-109}{\frac{10}{\sqrt{25}}})\\\\[/tex]
[tex]=P(2<1.4)\\\\=\phi (1.4)\\\\=0.9192[/tex]
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Answer:
A
Step-by-step explanation:
Answer:
Don't agree with 1 and 2, agree with 3
Step-by-step explanation:
1: -35 degrees Fahrenheit is colder than 35 degrees Fahrenheit.
2: A distance of 15 meters is greater than a distance of 10 meters, not less, so it is not closer to sea level.
3: A distance of 17 meters is less than a distance of 40 meters, so it is closer to sea level.
If one data point is 36, which point would make 48 the mean?
(3m^0)^3
A. 27cm3
B. 27
Corny the jet pilot heads his jet due cast. The jet has a speed of 440 mph relative to the
air. The wind is blowing due north with a speed of 35 mph.
(a) Express the velocity of the wind as a vector in component form.
(b) Express the velocity of the jet relative to the air as a vector in component form.
(c) Find the true velocity of the jet as a vector,
(d) Find the true speed and direction of the jet.
Triangle ABC is shown on the grid. What is the perimeter of triangle ABC? A(-1,5) B (4, 5) C (-1,1). A 9+ sqr21 units. B 9+sqt29 units. C 9+ sqr41 units. D 9+ sqr61 units
Answer:
C, 9+ the square root of 41
Step-by-step explanation:
got it right on edge :)
The standard deviation of SAT scores for students at a particular Ivy League college is 250 points. Two statistics students, Raina and Luke, want to estimate the average SAT score of students at this college as part of a class project. They want their margin of error to be no more than 26 points.
(a) Raina wants to use a 90% condence interval. How large a sample should she collect?
(b) Luke wants to use a 99% condence interval. Without calculating the actual sample size, determine whether his sample should be larger or smaller than Raina's, and explain your reasoning.
(1) smaller since Luke has a higher level of confidence in his results than Raina
(2) smaller because higher degrees of confidence require smaller margins of error
(3) larger higher degrees of confidence require larger margins of error
(c) Calculate the minimum required sample size for Luke.
Answer:
A
Step-by-step explanation:
All I need is for someone to explain how you get this answer !!
(The answer is the bottom part)
WILL MARK BRANLIEST
Answer:
THATS EASY HAHA JJUST DOWNLOAD THIS APP MATHSOLVER ITS EFFECTIVE
Step-by-step explanation:
HOPE IT HWLPS
A BIT OF HELP HERE- PLEASEE
Answer:
Solution given:
G=-17
H=5
distance =-17-5=-22
since distance is always positive so
distance between GH: 22 units.
Location
G=-17H=5Find distance
|-17-5||-22|22unitsIn the image, two circles are centered at A. The circle containing was dilated to produce the circle containing B!
What is the scale factor of the
dilation?
O A. 1
OB. 2
OC. 0.5
OD.
-0.5
Y=5(x+4)(x-3)
PLEASE HELP ASAP
Answer:
-4, 3
Step-by-step explanation:
To find x intercepts, set y equal to 0;
0 = 5(x+4)(x-3); when x = -4 or x = 3, y will be zero (these are the x intercepts),
7
Identify the vertex, axis of symmetry,
and y-intercept.
f(x) = -1 (x + 4)2 – 5
Vertex:
Axis of symmetry:
y-intercept:
what's the answer to this? (freckle)
Answer:
2/3
Step-by-step explanation:
Carl bought 24 daisies and roses. Daisies cost $0.25 each and roses cost $0.90 each. If
Carl spends a total of $16.40, how many daisies did he get and how many roses did he
get?
Answer:
Roses= $8.4
Daises= $15.6
Step-by-step explanation:
Let represent the daises and let r represent d roses
r + d= 24....equation 1
0.25r + 0.90d= 16.40.......equation 2
r= 25-d
Substitute 25-d for r in equation 2
0.25(25-d) + 0.90d= 16.40
6.25-0.25d+0.90d= 16.40
6.25+0.65d= 16.40
0.65d= 16.40-6.25
0.65d= 10.15
d= 10.15/0.65
d = 15.6
Sub 15.6 for d in equation 1
r+d= 24
r+15.6= 24
r= 24-15.6
= 8.4
Price of daises is $15.6
Roses is $8.4
An online furniture store sells chairs for $200 each and tables for $500 each. Every day, the store can ship no more than 29 pieces of furniture and must sell at least $8800 worth of chairs and tables. If 14 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answer:
12, 13 ,14 ,15
Step-by-step explanation:
200x14=2,800
8,800-2,800=6,000
6,000/500=12
12+14=26
13+14=27
14+14=28
14+15=29
Which ordered pair is a solution to the equation? y=x3/4
(8, 6)
(−8, 8)
(6, 8)
(−4, 1)
Answer:
(8,6)
Step-by-step explanation:
y=x3/4
y=8(3/4)
y=24/4
y=6
when you input 8 for x, you get 6 for y.
Answer:
Step-by-step explanation:
y = x3/4 is ambiguous. I will assume that you meant
x^3
y = ---------
4
Then, if x = 8, y = 128 (not a solution)
If x = -8, y = -128 (not a solution)
If x = 6, y = 54 (not a solution)
If x = -4, y = -1/4 (not a solution)]
Ensure that you have copied down this problem correctly.
please help asap !!!!
Answer:
P = 3/8
q = 1/2
Step-by-step explanation:
(3/8)^3/8 × (3/8)^1/8 = P^q
Because of the same base, pick one of the bases
Then, add the powers
(3/8)^3/8 × (3/8)^1/8 = P^q
= (3/8)^3/8 + 1/8
= (3/8)^(3+1)/8
= (3/8)^4/8
= (3/8)^1/2
Therefore,
P^q = (3/8)^1/2
Where,
P = 3/8
q = 1/2
P^q = (3/8)^1/2
= √(3/8)
John is asked to roll a fair number cube, numbered from one to six, and toss a balanced quarter simultaneously. What is the probability that he will roll a 2 and the quarter will come up tails?
Answer: 1/12 or 8.3%
Step-by-step explanation:
probability of a 2 on the cube: 1/6
probability of tails on the quarter: 1/2
1/6*1/2=1/12
1/12 or 8.33333% (round to 8.3%)