Answers
[tex]12a+18a^2-1[/tex]
Answer: 12a+6a^2 -1
Step-by-step explanation:
4(3a)+2(3a)^2-1
Related Questions
The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of minutes with a standard deviation of minutes. The health center makes appointments each day and is scheduled to be open for hours. What is the probability that the total time spent for students who have appointments for tomorrow will exceed hours? (Hint: hours minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Answers
Some data in the question are missing. The complete question is :
The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of 5.6 minutes with a standard deviation of 3.5 minutes. The health center makes 100 appointments each day and is scheduled to be open for 10 hours. What is the probability that the total time spent for 100 students who have appointments for tomorrow will exceed 10 hours? (Hint: 10 hours=600 minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Solution :
Let the time spent by [tex]$i^{th} $[/tex] students for the appointment be = [tex]$X_i$[/tex]
∴ E([tex]$X_i$[/tex]) = 5.6
V([tex]$X_i$[/tex]) = [tex]$3.5^2$[/tex]
n = 100
The required probability
[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]
Now, [tex]$E\left( \sum_{i=1} ^{100} X_i \right) = 100 \times E (X_i) $[/tex]
= 100 x 5.6
= 560
[tex]$V\left( \sum_{i=1} ^{100} X_i \right) = (100)^2 \times (3.5)^2 $[/tex]
Standard deviation = 3.5 x 100
= 35
[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]
[tex]$\Rightarrow P\left( \frac{\sum_{i=1}^{100} X_i -560} {35} \leq \frac{600-560}{35}\right)$[/tex]
[tex]$= \phi (1.14286)$[/tex]
= 0.8735
= 0.874 (round to 3 decimal places)
d. (3+5i) (6-i) = Show your work.
Answers
Answer:
4i + 9 < simplified version
Step-by-step explanation:
3 + 5i + 6 - i =
4i + 9
(3+5i)(6-i)
step 1) 3•6 = 18
step 2) 3• -1i = -3i
Remember: if there is no coefficient, there is technically a 1 there so it’s easier to picture if you put that one in front of the variable.
step 3) 5i•6 = 30i
step 4) 5i• -1i= -5i^2
that turns into the expression 18-3i+30i-5i^2
then you can gather like terms (the -3i and 30i) 18+27i-5i^2
Remember that when you have and i that’s squared, it turns into -1.
So, the new expression is 18+27i-5(-1)
Remember to use order of operations and multiply first -5(-1)=5
18+27i+5
Then combine the constants (18 and 5)
The answer is: 23+27i
Will mark brainiest on any sort of help
Isabel’s employer has recently announced that employees may convert traditional 401(k) plans to Roth 401(k) plans if they so desire. Isabel decides to investigate the option. She believes her tax bracket won’t change from her working years into her retirement. In addition, she’d like to have more take-home pay now.
Should Isabel keep the traditional 401(k) plan or switch to a Roth 401k plan? Use Isabel’s calculations and your knowledge about these plans to explain your recommendation.
two calculations of take-home pay on separate pieces of notebook paper, one for a traditional 401(k) and one for a Roth 401(k)
https://cdn.app.edmentum.com/EdAssets/258d216356b74e6ebdab2f1d46a93bfd?ts=636630771141330000
Answers
Answer:
Yes
Step-by-step explanation:
yes because if she keeps her money then,
Answer: The smartest option for Isabel in her case would be to keep the Traditional 401 (k), this is because she ends up with 50 more dollars rather than losing money with the Roth 401 (k). This is only true if her assumptions and calculations are accurate. With her saying that she believes that she will not be in a higher tax bracket, and she wants the most take home money possible then I would recommend she stays with the Traditional 401 (k).
Step-by-step explanation:
With a traditional 401 (k) although you don't have to pay taxes up front, you still need to pay taxes on any capital gains/when you take that money out you will then have to pay some taxes. Although this is the case if you are in a higher tax bracket when you take that money out you will have to be paying at that higher tax bracket. With a Roth 401(k) you pay those taxes up front, but all those capital gains you may recieve over time you end up not having to pay taxes on ANY of it. So if you are in a higher tax bracket and get more of those gains over time from being in that bracket then it would be the smartest option to go with the Roth 401(k). Now this would be smart to go with a Roth 401(k) if you are young and just starting out because you can advance through future opportunies, but in Isabel's case this is different. She says that she believes that her tax bracket won't change and if she wants to have the most take home money possible then in her case it would be the smartest option to go with the traditional 401 (k) because she will be taking home 50 more bucks according to her calculations.
What is the equation of the line that is parallel to the line 5x + 2Y=12 and passesthrough the point (-2,4) ?
Answers
Answer:
y = [tex]-\frac{5}{2}[/tex]x - 1
Step-by-step explanation:
5x + 2y = 12
2y = -5x + 12
y = [tex]-\frac{5}{2}[/tex]x + 6
y = mx + b
4 = [tex]-\frac{5}{2}[/tex] ( -2 ) + b
4 = 5 + b
b = -1
y = [tex]-\frac{5}{2}[/tex]x - 1
For the time 8:35, rename one hour to 60 minutes. Add those minutes to the existing minutes.
A-10:20
B-6:40
C- 2:05
D- 9:55
Answers
Answer:
here we can talk if you want
find a parameterization for a circle of radius 3 with center (-4,4,1) in a plane parallel to the yz plane. write your parameterization so the y component includes a positive cosine
Answers
Answer:
Following are the solution to the question:
Step-by-step explanation:
[tex]Radius= 3\\\\center= (-4,4,1)\\\\x(t)=-4\\\\y(t)=4+3 \cos \ t\\\\z(t)= 1+ 3 \sin \ t[/tex]
The schoolyard has an area of 3864 ft.² The section that is in the shape of a triangle is used for picnic tables what is the area of the section for picnic tables
Answers
Step-by-step explanation:
Squares have equal lengths on all sides, so we already know that 46 ft applies to the entire square.
46 x 46 = 2116
We then subtract this from 3846, so
3846 square feet - 2116 square feet = 1730
ent.psonsvc.net/#/question/b1e947ad-6841-4a77-b0a5-7ea88c76f674/3df88b41-2ef2-4268-97a2-4dc1283afd2e
OB. (-2, 6)
Review
1 Unit 7.3 Checkpoint - Transformations in the Coordinate Plane(8.G.2.8.G.3.8.G.4)(22-23 / 4 of 10
O C. (2,-6)
Bookmark
OD. (6, 2)
XD
Rectangle WXYZ has coordinates at W(2, 2), X(2, 6), Y(4, 6), and Z(4, 2). If the rectangle was rotated 90° clockwise about the origin,
what would be the coordinates of X'?
Answers
The coordinates of X¹ will be (6,-2), if the rectangle was rotated 90° clockwise about the origin.
Given that, rectangle WXYZ has coordinates at W(2, 2), X(2, 6), Y(4, 6), and Z(4, 2) respectively. We have to calculate the coordinates of X¹ when the rectangle was rotated 90° clockwise about the origin.
Rotation generally helps us to align the figures in the direction along with a fixed point. To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x). So, (y,-x) will be the rotation of the coordinates about 90° clockwise about the point.
So, we have to calculate the coordinate after rotation of X(2, 6). Let's suppose after rotation X changes to X¹ then, we have
X(2, 6)→X¹(6,-2) when the rectangle was rotated 90° clockwise about the origin.
Therefore, (6,-2) is the required answer.
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30+(-46) =?
-45+(-25)=
Answers
Answer:
30+(-46)= -16
-45+(-25)= -70
Step-by-step explanation:
Find the radius of a circle that has an area of 121 pi f2
Answers
Answer: r=11
Step-by-step explanation:
A=πr^2
A=121π
121π=πr^2
r^2=121
r=11
Please answer the question as quickly as possible
Answers
Answer:
The answer would be x by 2 over the squared number.
Given the function:
f (x) = (3 x + 4) minus (2 minus x)
Evaluate for f (5).
Answers
Hope this helps!
10 less than the product of
2
5
and x is the same as 8.
Please answer it’s due at 1pm
Answers
Answer:
x=45
Step-by-step explanation:
2/5x-10=8
2/5x=18
x=18÷2/5
x=18(5/2)
x=45
Answer:
(2/5 × x) - 10= 8
2/5x= 8+10
2x= 5 × 18
x = 90/2
x = 45
What is the reduce form of 10/ab+x
Answers
1.
[tex] \frac{10}{2 {ab}^{2} } \times \frac{ {a}^{2} {b}^{2}}{5}[/tex]
[tex] = \frac{5}{2a {b}^{2} } \times {a}^{2} {b}^{2} [/tex]
[tex] = \frac{5}{2a} \times {a}^{2} [/tex]
[tex] = \frac{5 {a}^{2} }{2a} [/tex]
6. In Florida, 94% of people have a TV, 71% have a TV and a DVD player. What percent of people that have a TV also
have a DVD player? In other words, what is the probability a person has a DVD player given that they own a TV?
A. 66%
B. 70%
C. 76%
D. 83%
Answers
(0,5, 1, 17)
What is the number of subsets
What is the number of proper subsets
Answers
Answer:
16
Step-by-step explanation:
n=4
subset=2^n
=2^4
=16
Jessie can type 140 words every 4 minutes. Suppose she needs to type a report that will have 700 words. Write a proportion that could be used to predict the number of minutes it will take Jessie to type the report. Use x to represent the number of minutes.
Answers
Answer:
X = 20 minutes .
Step-by-step explanation:
One word: 4/140 = 1/35 minute .
700 words: X = 700x1/35 = 20 minutes .
(Multiplication)
PLEASE HELP ASAP!!!
Makaila would like to walk at least 70 blocks over the next five days. She would like to increase the number of blocks she walks by two per day for each of the second and third days. Then, she wishes to level off so that the fourth and fifth days she walks only as far as she did on the third day.
a. If the amount that Makaila walks the first day is represented by x, then write expressions for each distance she walks the other four days.
Day 1= x Day 2 = Day 3 = Day 4 = Day 5 =
b. Find all possible values that Makaila could walk on the first day to reach her goal.
c. Assuming that Makaila walks a whole number of blocks on Day 1, what is the fewest number of blocks she could walk on this day and still meet her goal.
Answers
A) First day = x blocks
Second day = x + 2 blocks
Third day = x + 4 blocks
Fourth day = x + 4 blocks
Fifth day = x + 4 blocks
B) All possible values that Makaila could walk on the first day to reach her goal are; x ≥ 11.2
C) The fewest number of blocks she could walk on this day and still meet her goal is; 70 blocks
How to solve arithmetic sequences?A) We are told that the first day, she walks x blocks
Thus;
Second day = x + 2 blocks
Third day = x + 4 blocks
Fourth day = x + 4 blocks
Fifth day = x + 4 blocks
B) Total blocks = x + x + 2 + x + 4 + x + 4 = 5x + 14
Makaila would like to walk at least 70 blocks over the next five days. Thus, the equation is;
5x + 14 ≥ 70
Subtract 14 from both sides of this equation to get:
5x ≥ 56
Divide both sides of this equation by 5 to get:
x ≥ 11.2
C) She must walk greater than or equal to 11.2 blocks the first day to reach her goal.
assume she walks exactly 11.2 blocks the first day.
then her total walking based on the formula would be:
first day 11.2
second day 13.2
third day 15.2
fourth day 15.2
fifth day 15.2
total walked is 11.2 + 13.2 + (3 * 15.2)
this equals 24.4 + 45.6 which equals 70.0
Any number of blocks over 11.2 on the first day will result in a total greater than 70 blocks.
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how to make 6/12 in to decimal
Answers
Answer:
Step-by-step explanation:
If you have a calculator just put 6 / 12, and you will get your answer
If you don't have a calculator, do long division or you can simplify the fraction. Ex: 6/12 = 3/6 = 1/2; 1/2 = 0.5
Answer:
0.5
Step-by-step explanation:
You can reduce it to 1/2 which is equivalent to 50% or 0.5
At Mama’s Country Kitchen, they serve mashed potatoes and country fried steak. The average amount of mashed potatoes put on the plate is 4 oz. with a standard deviation of 0.2 ounces. If they decided to double their servings of mashed potatoes on each plate, what would be that standard deviation of a total of 10 servings of mashed potatoes?
a) 4
b) 10.24
c) 0.64
d) 3.2
e) 1.6
Answers
Answer:
b c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
If the standard deviation for the original serving is .2, and they doubled the size, then the deviation would become .4. Then you multiply that by the ten servings to make 4.
Shaela can solve 20 one-step equation problems in 3 minutes. How many seconds does it take her to solve one problem?
Answers
Answer:
.67 secounds
Step-by-step explanation:20/3
3 * 60 = 180 seconds
180/20 = 9
Solution: 9 seconds
Which statements about experimental probability are true? Select three options. Experimental probability has the total number of trials in the numerator and the number of times an event occurs in the denominator. Experimental probability is the same as theoretical probability. An experiment to determine probability will include a number of trials. A probability experiment will count the number of times an event occurs. Experimental probability can be written in the form of a ratio.
Answers
Answer:
C D E or 345
Step-by-step explanation:
Answer:
CDE
Step-by-step explanation:
Help me please with this :)
Answers
Answer: x+y = -1
Step-by-step explanation: standard form is Ax+Bx=C. In this case, x and y’s coefficient is 1, so you don’t have to put anything in front of x and y. An when you bring -8 to the other side, it become positive 8, and -9+8=-1. hope this helps
sum all the prime numbers less than 80 and write the answers.
Answers
Answer:
791
Step-by-step explanation:
Prime number is a number that is divisible only by itself and 1 .
prime numbers less than 80
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79
therefore,
2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79
=791
Answer:
791.
prime numbers less than 80 are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79
sum of these numbers are
2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79
= 791
Need this ASAP thanks
Answers
Answer:
the answer is A substitution
Ahmad and Dante wash cars in the neighborhood and charge $5 per car. Last year, they worked very hard and were able to wash 450 cars in the year. They have done a little market research and found that for every $0.20 that the price is reduced, they can get 50 more customers.
2. a. Model the relationship between the number of $0.20 price decreases and the amount of money earned using an equation, table, and graph.
Answers
The model for the relationship between the number of $0.20 price decrease, x, to the amount of money earned, E, is presented by the following equation;
E = -10•x² + 160•x + 2250Please find attached the values of the model in the attached table and graph of the model.
How can the equation of the model be found?Let x represent the number of $0.20 price decrease and let E represent the total amount earned (the revenue), we have the following revenue equation;
E = Amount earned = Number of cars washed × The price to wash one carHowever;
When the number of cars washed = (450 + 50•x)
The price to wash one car = (5 - 0.2•x)
Therefore;
E = (450 + 50•x) × (5 - 0.2•x)Which gives the following equation;
E = -10•x² + 160•x + 2250Please find the attached table and graph created using the above equation for the amount earned per year.
From the graph, the maximum amount is earned when the price is reduced by $0.20, eight times to give;
Optimum price = 5 - 0.2×8 = 3.4
The optimum price = $3.4The number of cars washed at the optimum price = 850The maximum amount earned = $2890Learn more about how to find the revenue function here:
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Mariette bought a 6 pack of donuts to share with her friends
at school. The donuts cost $18.00 all together.
What is the unit rate for the donuts in ?
donut
1
What is the unit rate for the donuts
Answers
Answer: The unite rate is $3 per pack.
Step-by-step explanation:
The unit rate will the the cost of one pack of donuts.
If 6 packs is equal to $18 dollars, then to find the unit rate we will divide 18 by 6.
18/6 = 3
This means one pack of of donut will cost $3.
Charlotte is looking for seashells on the beach. She is only going to look for the seashells in a 14 feet by 4 feet rectangular area. What is the area of the rectangle in square feet? *
Answers
Answer:
The answer is 56 square feet. Don't forget the square or else the answer is invalid :). good luck
Step-by-step explanation:
Evergreen Wildlife Preserve has 110 animals, and 66 of them are birds of prey. What percent of the animals are birds of prey?
Answers
Answer:
60%
Step-by-step explanation:
let ,x% is birds of prey
total animals=110
birds of prey=66
then,
x%of 110=66
x/100×110=66
110x/100=66
1.1x=66
x=66/1.1
x=60%
I'm not sure if this is correct.
Jane took 10 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day at the same boat speed took her 5 min. If the current in that part of the river is 10 km per hr, what was her boat speed in still water?
Answers
Answer: B = 15 kph or 15 kph
step by step
(b-5)*10=(b+5)*5
10b-50=5b+25
5b=75
b=15 kph in still water