Find the equation of the line passing through the points (-2,-4) and (7,23)
Answer:
y=−5.4x
Step-by-step explanation:
Slope -5.4
Intercept -14.80
Which two numbers have a product of −18 and a sum of −7?
Answer:
2 and -9
Step-by-step explanation:
2 times -9 is -18
2 plus -9 is -7
Hope this helped!
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
[tex]P(shipment\ accepted) =0.6337 [/tex]\
b
[tex]P(shipment\ not\ accepted)= 0.3663 [/tex]
Step-by-step explanation:
from the question we are told that
The number of boxes N = 100
The number of keyboard in each box is k = 20
The sample size is n = 5
Generally the number of ways of selecting 1 keyboard from the 5 selected keyboard is mathematically represented as
[tex]G = \ ^{5}C_1[/tex]
Here C stands for combination (Hence in the question we will be making use of the combination functionality in our calculator )
Generally the number of ways of selecting 0 keyboard from the 5 selected keyboard is mathematically represented as
[tex]H = \ ^{5}C_0[/tex]
Generally the number of ways of selecting 5 keyboard from the 20 keyboards is mathematically represented as
[tex]F = \ ^{20}C_5[/tex]
Generally the number of ways of selecting 5 keyboard from the 15 keyboards is mathematically represented as
[tex]W = \ ^{15}C_5[/tex]
Generally the number of ways of selecting 5 keyboard from the 15 keyboards is mathematically represented as
[tex]V = \ ^{15}C_4 [/tex]
Generally the probability that a shipment will be accepted is mathematically represented as
Probability of 0 defect out of 5 + Probability of 1 defect out of 5
Now
Probability of 0 defect out of 5 is mathematically represented as
[tex]P(A_1) = \frac{H*W }{ F}[/tex]
=> [tex]P(A_1) = \frac{1 *3003 }{ 15504}[/tex]
=> [tex]P(A_1) = 0.1937[/tex]
And Probability of 1 defect out of 5 is mathematically represented as
[tex]P(A_2) = \frac{ G * V}{ F}[/tex]
=> [tex]P(A_2) = \frac{ 5 * 1365}{15504}[/tex]
=> [tex]P(A_2) = 0.440[/tex]
Generally the probability that a shipment will be accepted is mathematically represented as
[tex]P(shipment\ accepted) =0.1937 + 0.440[/tex]
=> [tex]P(shipment\ accepted) =0.6337 [/tex]
Generally the probability that this shipment will not be accepted is mathematically represented as
[tex]P(shipment\ not\ accepted)= 1 -P(shipment \ accepted)[/tex]
[tex]P(shipment\ not\ accepted)= 1 - 0.6337 [/tex]
[tex]P(shipment\ not\ accepted)= 0.3663 [/tex]
8.032×10^-4 in standard form
Answer:
0.0008032
Step-by-step explanation:
Hope this helps!
Answer:
80,320
Step-by-step explanation:
montha
28. The driving distance from Boston, MA,
to Colorado Springs, CO, and back again
is 4,084 miles. A salesperson has already
made the trip back and forth twice. A
salesperson may drive up to 12,500 miles
each month. Can she make the trip again
and remain below the monthly miles
allowed? If so, how many miles will she
have left for the month?
Tonic 2 Ilesson 3-8
Answer:
Step-by-step explanation:
Homework Weekend Create a short story.
2+1x1000000000000000000
Answer:
30000000000000000.. ....
Solve by substitution: y = 3x + 4 and y = -2x – 1.
Answer:
x = -1
y = 1
Step-by-step explanation:
y = 3x+4
y = -2x-1
-2x-1 = 3x+4
-5x - 1 = 4
-5x = 5
x = -1
Substitute this x value into 1 of the equations given in the problem:
y = 3(-1)+4
y = -3+4
y = 1
Answer: the answer to x= -1 and y= 1
what is the value of x,if x=9-9/4
Answer:
X=6 3/4
Step-by-step explanation:
IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS
Which statement describes the inverse of m(x) = x^2 – 17x?
a. The domain restriction x ≥ StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction minus StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
b. The domain restriction x ≥ StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction + StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
c. The domain restriction x ≥ Negative StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction minus StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
d.The domain restriction x ≥ Negative StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction + StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
Given:
The function is
[tex]m(x)=x^2-17x[/tex]
To find:
The inverse of the given function.
Solution:
We have,
[tex]m(x)=x^2-17x[/tex]
Substitute m(x)=y.
[tex]y=x^2-17x[/tex]
Interchange x and y.
[tex]x=y^2-17y[/tex]
Add square of half of coefficient of y , i.e., [tex]\left(\dfrac{-17}{2}\right)^2[/tex] on both sides,
[tex]x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2[/tex]
[tex]x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2[/tex]
[tex]x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
Taking square root on both sides.
[tex]\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}[/tex]
Add [tex]\dfrac{17}{2}[/tex] on both sides.
[tex]\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y[/tex]
Substitute [tex]y=m^{-1}(x)[/tex].
[tex]m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}[/tex]
We know that, negative term inside the root is not real number. So,
[tex]x+\left(\dfrac{17}{2}\right)^2\geq 0[/tex]
[tex]x\geq -\left(\dfrac{17}{2}\right)^2[/tex]
Therefore, the restricted domain is [tex]x\geq -\left(\dfrac{17}{2}\right)^2[/tex] and the inverse function is [tex]m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}[/tex].
Hence, option D is correct.
Note: In all the options square of [tex]\dfrac{17}{2}[/tex] is missing in restricted domain.
Answer:
C on edu
Step-by-step explanation:
Phil Dunphy, a real estate agent, is considering whether he should list an unusual $262,023 house for sale. If he lists it, he will need to spend $3,111 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $19,752. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 40%. What is the expected profit on this listing?
Answer: $4,789.80
Step-by-step explanation:
If Phil is able to sell the house, the profit he makes will be;
= Commission - expenses
= 19,752 - 3,111
= $16,641
If he is unable to sell in 6 months he will lose $3,111.
His expected profit will be a weighted average of the two possibilities;
= (40% * 16,641) + ( 60% * -3,111)
= 6,656.40 + (-1,866.6)
= $4,789.80
Help the pic is right here
Answer:
i think its C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
its just division tbh
Please look at the pic and help it got marked wrong
Answer:
although it is true that could be -(1/4)^4
if you multiply the answer can also be -1/256
Heya!!
your answer is!
-1/256
Always, Sometimes, or Never?
5x>0
Answer:
Sometimes
Step-by-step explanation:
Your grandfather gave you $18 to buy a present. This covered 9/10 of the cost. How much did the present cost?
A coin is about to be tossed 50 times. Determine the probability the 8th heads occurs on the 12th toss
Answer:
0.0806
Step-by-step explanation:
From the given information:
Number of toss = 50
The probability of having a head = 1/2 = 0.5
The Probability of 8th head occur on 12th toss can be computed as :
Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)
Pr(8th head occur on 12th toss) = C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5
Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5
Pr(8th head occur on 12th toss) = 0.0806
Answer:
The probability of 8th heads,
That is occurred on 12th toss.
Step-by-step explanation:
A coin is tossed 50 times.
There are two possible outcomes of occurring a head or tail.
Probability of occurring head = no.of head/ possible outcomes
= 1/2
Total number of tossing a coin= 50 times
Probability of 8th heads occurs on 12th toss:
12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12
= 12C8 (1/2)8+9+10+11+12
= 12C8 (1/2)50
= 12C8 / 250
= 495 / 1125899906842624
= 4396.48317752 x 10-16
This is the probability of 8th heads,
That is occurred on 12th toss.
5 1/5- 1 3/4 fractions
Answer:
3 9/20
Step-by-step explanation:
first find a common demonator and change the denomators and what ever you did to the bottom you do to the top, then subtract them.
An investor wants to save money to purchase real estate. She buys an annuity with monthly payments that earn 5.6% interest, compounded monthly. Payments
will be made at the end of each month, Find the total value of the annuity in 16 years if each monthly payment is $65.
Do not round any intermediate computations, and round your final answer to the nearest cent
Answer:
1040
Step-by-step explanation:
just took 65 and mutiply 65$
Answer:
1040
Step-by-step explanation:
just took 65 and mutiply 65$
a bowl contains 4 yellow marbles, 5 red marbles, 1 blue marbles, and 3 green marbles. find the probabilityof the given outcome
Answer:
bowl of colorful marbels
Step-by-step explanation:
bowl+marbels
HELP WILL MARK BRAINLIEST
Answer:
(-3,-1)
Step-by-step explanation:
You can graph both of the points on desmos, and then look at the slope from p1 to the midpoint. so you can get the slope, and use it to get the p2. the slope is -4/6. So you get that answer.
Answer please so hard
Answer:
b s=3w
Step-by-step explanation:
when graphed its a straight line and it goes through the orgin so its proportional
what is 32221 x444444444444
Answer: 1.43
Step-by-step explanation:
Answer:
1.432044444444301e+17
Step-by-step explanation:
(5/6) 2 x (1 1/10) 2
Answer:
11/3x
your welcome
Which expression is equivalent to 8x - 12y + 32?
15 points!!!
Answer:
The third
Step-by-step explanation:
16( times) 0.5x= 8x
16 ( times) -0.75= -12y
16(times) 2= 32
The rest are either above or bellow the expression given.
Answer:
the answer is -0.75y+2)=8x
Kindly help me with this question. (Chapter - Complex Numbers)
Answer:
z1(z2 + z3) = z1 z2 + z1 z3 ⇒ verified down
Step-by-step explanation:
∵ z1 = 4 + 3i
∵ z2 = 3 - 2i
∵ z3 = i + 5
→ Find the left side
∵ z1(z2 + z3) = (4 + 3i)[3 - 2i + i + 5]
∴ z1(z2 + z3) = (4 + 3i)[(3 + 5) + (-2i + i)]
∴ z1(z2 + z3) = (4 + 3i)(8 - i)
∴ z1(z2 + z3) = (4)(8) + (4)(-i) + (3i)(8) + (3i)(-i)
∴ z1(z2 + z3) = 32 - 4i + 24i - 3i²
→ Remember that i² = -1
∴ z1(z2 + z3) = 32 - 4i + 24i - 3(-1)
∴ z1(z2 + z3) = 32 - 4i + 24i + 3
→ Add the like terms
∴ z1(z2 + z3) = (32 + 3) + (-4i + 24i)
∴ z1(z2 + z3) = 35 + 20i
→ Find the right side
∵ z1 z2 + z1 z3 = (4 + 3i)(3 - 2i) + (4 + 3i)(i + 5)
∴ z1 z2 + z1 z3 = [(4)(3)+(4)(-2i)+(3i)(3)+(3i)(-2i)] + [(4)(i)+(4)(5)+(3i)(i)+(3i)(5)]
∴ z1 z2 + z1 z3 = [12 -8i + 9i -6i²] + [4i + 20 + 3i² + 15i]
→ Replace i² by -1
∴ z1 z2 + z1 z3 = [12 -8i + 9i -6(-1)] + [4i + 20 + 3(-1) + 15i]
∴ z1 z2 + z1 z3 = [12 -8i + 9i + 6] + [4i + 20 - 3 + 15i]
→ Add the like terms
∴ z1 z2 + z1 z3 = [12 + 6 + 20 - 3] + [-8i + 9i + 4i + 15i]
∴ z1 z2 + z1 z3 = 35 + 20i
∵ The left side = 35 + 20i
∵ The right side = 35 + 20i
∴ The left side = the right side
∴ z1(z2 + z3) = z1 z2 + z1 z3
What are the terms on the expression 2x-4y+8
PLEASE HELP PLEASE!!
Complete the following statement to estimate the root of 75 to the nearest tenth. Use numbers that are closest to the root of 75
8. Fay Teng's expenditures for the past 3 months were: August,
$1,735.50; September, $1,829.42; and October, $1,793.88.
What is her average monthly expenditure?
9. You use the utility company's budget plan for paying your
home heating bills. You pay $75 a month for 9 months. Your
actual bills are: September, $28.95; October, $16.15; November,
$68.46; December, $109.34; January, $115.26; February. $94.19;
March $75.66; April, $51.97; and May, $49.16. Compute the
average for the 9 months.
ght The McGraw-e Companies, Inc. All rights
=$75.66 all in all and $67.99 dollars
1. Which of the following statements best describes the patterns and trends of the Periodic Table?
a. The atomic number and atomic mass decrease from left to right across a period; energy levels
decrease from top to bottom down a group
b. The atomic number and atomic mass increase from left to right across a period; energy levels
decrease from top to bottom down a group.
c. The atomic number and atomic mass increase from left to right across a period; energy levels
increase from top to bottom down a group.
d. The atomic number and atomic mass decrease from left to right across a period; energy levels
increase from top to bottom down a group.
Answer:
Its C
Explanation
c. The atomic number and atomic mass increase from left to right across a period; energy levels
increase from top to bottom down a group.
Contribution Margin, Break-Even Sales, Cost-Volume-Profit Chart, Margin of Safety, and Operating Leverage
Youngsville Industries Inc. expects to maintain the same inventories at the end of 20Y5 as at the beginning of the year. The total of all production costs for the year is therefore assumed to be equal to the cost of goods sold. With this in mind, the various department heads were asked to submit estimates of the costs for their departments during the year. A summary report of these estimates is as follows
Estimated Fixed Cost
Estimated Variable Cost (per unit sold)
Production Costs:
Direct Materials
$48
Direct Labor
$38
Factory Overhead
$150,000
$25
Selling Expenses:
Sales salaries and commissions
$125,000
$10
Advertising
$50,000
Travel
$15,000
Miscellaneous selling expense
$10,000
$2
Administrative Expenses:
Office and officers' salaries
$140,000
Supplies
$10,000
$5
Miscellaneous administrative expense
$10,000
$2
Total
$510,000
$130
It is expected that 22,175 units will be sold at a price of $170 a unit. Maximum sales within the relevant range are 27,500 units.
Answer:
Giving the following information:
Units sold= 450,000
Total Sales= $12,150,000
Total variable cost= $6,925,500
Total fixed cost= $3,242,673
First, we need to calculate the unitary selling price and variable cost. Then, we calculate the contribution margin.
Selling price= 12,150,000/450,000= $27
Unitary variable cost= 6,925,500/450,000= $15.39
Contribution margin per unit= 27 - 15.39= $11.61
To calculate the contribution margin ratio, we need to use the following formula:
Contribution margin ratio= contribution margin/ selling price
Contribution margin ratio= 11.61/27
Contribution margin ratio= 0.43
To calculate the break-even point both in units and dollars, we need to use the following formulas:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 3,242,673 / 11.61= 279,300 units
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 3,242,673/0.43= $7,541,100
Finally, we need to incorporate the desired profit to the break-even point formula:
Break-even point in units= (3,242,673 + 426,087) / 11.61
Break-even point in units= 316,000 units
Step-by-step explanation:
Suppose you have seven movies on DVD (two comedy, three action, and two horror) to put on a shelf. If you choose the DVDs at random, what is the probability that the first one is horror and the second one is action?
A: 66.67%
B: 7.14%
C: 4.76%
D: 14.29%
Answer: D: 14.29%
Step-by-step explanation:
Given: Total movies = 7
Categories: Comedy = 2, Action = 3 ,horror = 2
Probability that first one is horror = [tex]\dfrac{\text{Number of horror movies}}{\text{Total movies}}[/tex]
[tex]=\dfrac{2}{7}[/tex]
Remaining DVDs =6
Probability that first one is horror and the second one is action = [tex]\dfrac{2}{7}\times \dfrac{\text{Number of action movies}}{\text{remaining movies}}[/tex]
[tex]=\dfrac27\times\dfrac{3}{6}=\dfrac{1}{7}[/tex]
In percent, [tex]\dfrac{1}{7}\times100\%=14.29\%[/tex]
Hence, the correct option is D: 14.29% .