Answer:
A.[tex]x(x+12) -7(x+12)[/tex]
Step-by-step explanation:
Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:
[tex]x^2 +5x - 84[/tex]
First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.
[tex]x^2 +12x - 7x - 84[/tex]
Now take out the common factors,
[tex]x(x+12) -7(x+12)[/tex]
Thus, the correct option is choice (A).
What is -1/4-(-3/5).
Answer:Okay that was easy its 0.35
Step-by-step explanation:
Can someone help with this question
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
2 potatoes
Step-by-step explanation:
10 ×1/5 =2×1=2
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 5656 per hour. Find the average and standard deviation of the number of service calls in a 1515-minute period. Round your answer to three decimal places, if necessary.
Answer:
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval. The variance is the same as the mean.
Average rate of 56 calls per hour:
This means that [tex]\mu = 56n[/tex], in which n is the number of hours.
Find the average and standard deviation of the number of service calls in a 15-minute period.
15 minute is one fourth of a hour, which means that [tex]n = \frac{1}{4}[/tex]. So
[tex]\mu = 56n = \frac{56}{4} = 14[/tex]
The variance is also 14, which means that the standard deviation is [tex]\sqrt{14} = 3.74[/tex]
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
What is the slope of a line that is perpendicular to the line whose equation is y=45x−3
y
=
4
5
x
−
3
?
The segments shown below could form a triangle. A. True B. False
Answer:
true
Step-by-step explanation:
join a, b, c the attach the value A to C=9, B to C=7, and B to A=16
Five friends want to share 5/6 of a pie equally what fraction of the whole pie should each friend receive?
Answer:
1/6
Step-by-step explanation:
Answer: 1/6
Step-by-step explanation: 1/6 because your splitting it equally among 5 friends so all five friends gets 1/6 pie
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
F
Step-by-step explanation:
answer:
shape f !
step-by-step explanation:
hi there!
the question is asking us which shape matches shape a right, now if we look closely we already know that shapes d and b look like they match each other rather then shape a
shape a - 2, 2, 4
so they are out of the equation ( checking how long the sides are )
shape d - 3, 3, 3
shape b - 3, 3, 3
shapes e and c look like they match each other but just to make sure, i counted how long the each side was for both of them
( going by blocks )
shape c - 2, 3, 4,
shape e - 2, 3, almost 5
which does leave us left with shape f, but just to make sure.. lets count it!
shape f - 2, 2, 4,
which is the same numbers that shape a has!
shape f = shape a
hope this helps you!! and if i made a mistake reading the problem or doing the problem then please tell me :) have a good day
Julio spent $52.43 on batteries. If they cost $7.49/pack, how many packs did he buy?
Answer:
7
Step-by-step explanation:
52.43 ÷7.74=7
Evaluate the following algebraic expression at x = 4 and simplify your answer.
- 5x – 18 – 7x
Warren reads 6 books each month as part of his book club. If Warren has read 24 books so
far, how many months has he been with his book club?
Answer: 4 months
Look at it this way: 6 books in a group. How many groups are there? well this is multiplication. Just add 6 a bunch of times until you get 24. You will add 6+6+6+6. There are 4 6's. This means, there are 4 months, with 6 books each month.
Answer: 4months
Step-by-step explanation:
Consider this: a set of six novels. What is the total number of groups? This is, after all, multiplication. Simply multiply 6 by 6 until you have 24. You'll multiply 6 by 6 by 6 by 6 There are four sixes. This implies there are four months in all, each with six books.
Please help ASAP please help
Answer:
64
Step-by-step explanation:
8x4 is 32 multiplied by 2 is 64
V=LxWxH
(length x Width x Height)
A spherical water tank with diameter of 26 meters supplies water to a small town. The town uses about 400 cubic meters of water per day. To
the nearest day, how long would a full tank last if no water were replaced due to drought conditions.
Answer:
23 days
Step-by-step explanation:
We would first determine the volume of the tank. This gives information on the amount of water it can carry
WE divide the volume by the amount of water the town uses per day
Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³
n = 3.14
r == radius
radius = 1/2 x diameter
radius = 26/2 = 13 meters
volume = (4/3) x (3.14) x (13^3) = 9198.106667 m^3
How long the tank would last = 9198.106667 / 400 = 23 days
Demand for a specific design of dinning sets has been fairly large in the past several years and Statewide Furnishings, Inc. usually orders new dinning sets 10 times a year. It is estimated that the ordering cost is $400 per order. The carrying cost is $50 per unit per year. Furthermore, State Wide Furnishings, Inc. has estimated that the stock out cost is $120 per unit per year. Based on forecast, the annual demand is 600 units. State Wide Furnishings, Inc. has 350 working days in a year and its lead time is 14 working days. Assume the inventory policy of Statewide Furnishings, Inc. does not allow stock out. Determine the economic order quantity.
1. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the maximum allowable shortage.
a. 117.
b. 98.
c. 34.
d. 24.
2. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the annual ordering cost.
a. 592.82.
b. 1472.01.
c. 2051.28.
d. 4116.11.
e. none of the above.
3. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the annual holding cost.
a. 592.82.
b. 1472.01.
c. 2051.28.
d. 4116.11.
e. none of the above.
4. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the annual shortage cost.
a. 592.82.
b. 1472.01.
c. 2051.28.
d. 4116.11.
e. none of the above.
5. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the annual total relevant, including ordering, holding and shortage, cost.
a. 592.82.
b. 1472.01.
c. 2051.28.
d. 4116.11.
e. none of the above.
6. Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the reorder point.
a. 10.
b. –10.
c. 34.
d. 24.
e. none of the above.
Answer:
1. a. 117.
2. $2,051.48
3. 592.82
4. 1472.01
5. d. 4116.11
6. d. 24
Step-by-step explanation:
Economic Order Quantity : [tex]\sqrt{\frac{2 * Annual Demand *ordering cost}{Holding cost per unit } ( \frac{Holding cost + Shortage Cost}{Shortage cost }) }[/tex]
Economic order quantity is [tex]\sqrt{\frac{2 * 600 * 400}{50} (\frac{50 + 120}{120} )}[/tex]
EOQ = 117
2. ordering cost :
( total demand / EOQ ) * Ordering cost
( 600 / 117 ) * 400 = $2051.28
3. Holding cost :
Total demand * holding cost per unit
= 592.82
Reorder Point = Daily Demand * lead time
Reorder point = 600 / 350 * 14 = 24
Look at the image for the question:
9514 1404 393
Answer:
te, tm, (m-e), t
Step-by-step explanation:
The problem statement tells you how to interpret the expressions and their parts.
Swap the top two expressions on the right and the list will be in the appropriate order:
tetmm-etYour answer should have the same number of significant figures as the starting measurement. 0.0510 cm = mm
Answer: 0.0510 cm = 0.510 mm
Step-by-step explanation: zeros in the end of decimal number are significant.
Also 0.0510 cm has three significant numbers
The local street cart sells bacon egg and cheese sandwiches for $2.50, and soft drinks for $0.75. The street vendor made a total of $933 after selling a total of 747 sandwiches and soft drinks.
thanks:b
Answer:
Step-by-step explanation:
The sum of two numbers is 50. One number is 23 more than the other one. Find the numbers.
Professors often attempt to determine if the submissions by the students are genuine or copied off the web sources. The program that performs this task is only 95 % accurate in correctly identifying a genuine submission and 80% accurate in correctly identifying copies. Based on the past statistics, 15% of the student turned in copied work. If a work is identified as a copy by the program, what is the probability that it is indeed a sample of copied work.
Answer:
0.7385 = 73.85% probability that it is indeed a sample of copied work.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Identified as a copy
Event B: Is a copy
Probability of being identified as a copy:
80% of 15%(copy)
100 - 95 = 5% of 100 - 15 = 85%(not a copy). So
[tex]P(A) = 0.8*0.15 + 0.05*0.85 = 0.1625[/tex]
Probability of being identified as a copy and being a copy.
80% of 15%. So
[tex]P(A \cap B) = 0.8*0.15 = 0.12[/tex]
What is the probability that it is indeed a sample of copied work?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12}{0.1625} = 0.7385[/tex]
0.7385 = 73.85% probability that it is indeed a sample of copied work.
The quadratic function h is shown on the graph. If the graph is h(x) = (3/5 ) (x – d)(x + 6), what is the value of d?
Answers ↓
(A) -14
(B) 14
(C) -60
(D) 42/5
9514 1404 393
Answer:
(B) 14
Step-by-step explanation:
"d" is a value that makes the function be zero. The x-intercepts (zeros) of the function are at x=-6 and x=14, corresponding to factors (x +6) and (x -14). The (x+6) factor is already given in the equation, so we must conclude d=14.
Use the tax tables to determine the tax for the given filing status and taxable income amount:
Head of Household $63,572: $
Single $42,921: $
Married Filing Jointly $42,051: $
Married Filing Separately $63,999: $
Type the numbers with no $ sign and no decimals.
Answer:
i cant even see the picture
Angle A corresponds to Angle
OB
Oc
ОЕ
OD
none of the above
Answer:
A corresponds to angle E
(Click on Photo, I’ll mark as Brainliest!)
We intend to estimate the average driving time of a group of commuters. From a previous study, we believe that the average time is 42 minutes with a standard deviation of 10 minutes. We want our 90 percent confidence interval to have a margin of error of no more than plus or minus 2 minutes. What is the smallest sample size that we should consider
Answer:
The smallest sample size that we should consider is 68.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation of 10 minutes.
This means that [tex]\mu = 10[/tex]
What is the smallest sample size that we should consider?
This is n for which M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 1.645\frac{10}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 1.645*10[/tex]
[tex]\sqrt{n} = 1.645*5[/tex]
[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]
[tex]n = 67.7[/tex]
Rounding up:
The smallest sample size that we should consider is 68.
In the diagram below, what is the approximate length of the mirror arc AB?
Answer:
D) 15.7 cm
Step-by-step explanation:
radius = 10 cm
diameter = 10 x 2 = 20 cm
circumference = 20 x 3.14 = 62.8 cm
(90°/360°)(62.8) = 15.7 cm
What is the domain of the following parabola? (5 points)
u-shaped graph that opens down with a vertex of 1, 2
Group of answer choices
y ≤ 2
x ≥ 1
All real numbers
x ≤ 1
Answer:
the domain for this parabola is all real numbers
Guys please help me with this problem
Make a list of the possible outcomes from the table
Answer:
(d)
Step-by-step explanation:
The answer is d because it's pretty simple , you can have the white shirt with both trousers and the green shirt with both aswell.
Mr. Simpson has 5 boxes of paintbrushes in his art room. After the first week of school, he buys 3 more paintbrushes. The expression below shows the total number of paintbrushes in Mr. Simpson's art room when prepresents the number of brushes in each box. 3 + px 5 If each box contains 8 paintbrushes, how many total paintbrushes are in Mr. Simpson's art room? (Show your work or explain how you got your answer in words)
Answer:
5+3+8 or if its wrong then 5+3+8+5+3 or just one 3.
Step-by-step explanation:
What is the mode of the data set?
A. 90
B. No mode
C. 85.5
D. 49
Hurry and give a SERIOUS answer! Will give brainliest.
Answer:
mode is the number listed most often and data can have more then 1 mode
the numbers most listed in the image are: 5 and zero
Step-by-step explanation:
I hope this helped!
Answer:
90
Step-by-step explanation:
mode = A number that appears most often is the mode.
What part of a
a dozen is 8?
Answer:
8 Dozen eggs would mean, 8 X 12 = 96 eggs
Step-by-step explanation:
Answer:
[tex]\frac{2}{3}[/tex]
or
0.67
Step-by-step explanation:
a dozen is 12
12/4 = 3
8/4 = 2
8 is 2/3 of a dozen(12)
2/ 3 = 0.66666666666667 which is about 0.67