Answer:
[tex]7x^{2} -6x-216[/tex], [tex]8x^{3} -12x^{2} +6x-1[/tex]
Step-by-step explanation:
For question 1, use the FOIL method. [tex]7x^{2} -6x-216[/tex]
For question 2, also use the FOIL method - the answer is [tex]8x^{3} -12x^{2} +6x-1[/tex]
Hope I helped! Check out my profile for more answers!
You're a contestant on a TV gameshow where you must choose between four identical looking suitcases containing $100, $100, $300, and $400. You start by randomly picking one suitcase. The host then opens the remaining suitcase with the lowest dollar amount. Now, you have the choice to keep your current suitcase or switch to one of the two remaining suitcases. With probability p= 0.7, you keep your original suitcase and open it. Otherwise, you are equally likely to choose either of two the remaining suitcases and open it. You win the money in the suitcase you opened.
Consider these events:
Ai is the event that the first suitcase you choose is worth i dollars.
Hi is the event that the host opens a suitcase worth i dollars.
Wi is the event that you win i dollars.
If you play this game five times, the probability that the event W400 occurs twice in five trials is:_______
Answer:
0.2990 = 29.90%.
Step-by-step explanation:
For each trial, there are only two possible outcomes. Either you win $400, or you do not. Trials are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of winning $400 in a trial:
1/4 probability of choosing the suitcase containing $400, and in this case, 0.7 probability of keeping it.
3/4 probability of choosing another suitcase. Then, 0.3 of 3/4 probability of changing the suitcase, and 0.5 of 0.3 of 3/4 probability of getting the suitcase containing $400. So
[tex]p = \frac{1}{4}*0.7 + \frac{3}{4}*0.3*0.5 = 0.25*0.7 + 0.75*0.15 = 0.2875[/tex]
If you play this game five times, the probability that the event W400 occurs twice in five trials is:_______
This is P(X = 2) when n = 5. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.2875)^{2}.(0.7125)^{3} = 0.2990[/tex]
The probability is 0.2990 = 29.90%.
area of 10 and 7 in square inches
Answer:
70 sq. in
Step-by-step explanation:
7*10=70
sorry if im wrong
3x − y = 10
4x + 19y = 18
no solution? One solution? or infinitely solutions
Answer:
Infinite
Step-by-step explanation:
Select two expressions that are equivalent to 2+b+b
Answer:
3x + 5 ( -4x + 12 ) - ( x - 3 )
A. -18x + 63
B. 18x - 63
C. 3x - 20x + 60 - x + 3
D. 3x + 20x + 60 - x - 3
Answer:
a and b is the answer hope this
Step-by-step explanation:
.
helps
What is the rate of return when 30 shares of Stock
A, purchased for $15/share, are sold for $480? The
commission on the sale is $6.
Rate of Return = [?] %
Give your answer as a percent rounded to the
nearest tenth
Answer:
5.1%
Step-by-step explanation:
We are told that 30 shares of Stock are purchased for $15/share..
This gives a total value of: 30 × 15 = $450.
Now,they are sold for $480 with a commission of $6. This means the final money getting to the seller is; 480 - 6 = $474.
Thus; rate of return percentage = (474 - 450)/474) × 100% = 5.06%
To the nearest tenth gives; 5.1%
The rate of return is 5.1%.
Given that,
A, purchased for $15/share, are sold for $480.The commission on the sale is $6.Based on the above information, the calculation is as follows:
The total value should be
[tex]= 30 \times 15[/tex]
= $450.
Since it is sold for $480 along with commission of $6 so final money should be
= 480 - 6
= $474.
Now rate of return is
[tex]= ((474 - 450)\div 474) \times 100%[/tex]
= 5.06%
= 5.1%
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Questions
25/(4+1) .
3+(6-1)
Answer:
Step-by-step explanation:
[tex]1) \frac{25}{(4 + 1)}=\frac{25}{5}=5\\\\2) 3 + (6-1) = 3 + 5 = 8[/tex]
Mica read 1/6 of a book on Monday and 3/8 on Tuesday. Susan read 5/6 of the same book.
How much more of the book has Susan read than Mica?
A. 14/24
B. 8/24
C. 7/12
D. 7/24
Miguel is posting photos on a school website. He has 48 photos, and he is allowed to use 12 pages. He wants to put the same number of photos, p, on each page.
1.) 48p = 12
2.) 12 + p = 48
3.) 12p = 48
4.) 48 = p - 12
Answer:
The answer is 3.)
Step-by-step explanation:
Answer:
3. 12p = 48
Step-by-step explanation:
Start with 12p = 48
Your goal is to find the number of photos, p, that can go on each page. To do this, you need to isolate p (in other words, get p by itself)
Divide both sides by 12 and you end up with:
p = 4
Akris has a Quilted Calfskin bag on their website for this season in the shape of a trapezoid. Ms. Johnson called the company to get the dimension to use as a project for her math students. Based on the dimensions below, what is the area of trapezoid shaped purse?
Answer:
parralelagram
Step-by-step explanation:
evaluate (4x-5)² pls send answers
Answer =
= (4x - 5)²
= 16x² - 40x + 25
What is -6k + 7k simplified?
Answer:
1k
Step-by-step explanation:
-6k+7k=1k
or
7k-6k=1k
Answer:
The answer would be found by adding -6 and 7 k so itd be 1k or just k
A tailor used 6 2/3 yards of fabric to make hats. The amount of fabric needed to make each hat is 5/6 yard. How many complete hats did the tailor make?
Answer: The tailor made 8 complete hats
Step-by-step explanation:
Amount of fabrics available to make hat = 6 2/3 yards
1 hat requires = 5/6 yards
Number of hat to obtain from the available fabric = Amount of fabrics available to make hat / requirement of 1 hat
=(6 2/3) / (5/6)
(20/3) / (5/6)
20/3 x 6/5 = cancelling out, we are left with
4x2= 8 hats
or
(20/3) / (5/6)
6.6666 /0.83333
= 8.00002= 8 hats
Solve for AC and AB. 10 points.
Answer:
AC = 7.29 in
AB = 11.58 in
Step-by-step explanation:
tan 51 = 9/AC
1.2349 = 9/AC
AC = 7.29 in
sin 51 = 9/AB
0.7771 = 9/AB
AB = 11.58 in
The diameter of a round rug is 42 inches. What is the approximate area of the rug?
A. 5,539 square inches
B. 10 square inches
C. 38 square inches
D. 1,385 square inches
Answer:
D, It would be 1,385 Square Inches
Step-by-step explanation:
Linda has a watering can with a capity of 3 liters. Each day, her plants need 6,000 milliliters of water. How many times does Linda have to fill her watering can to water all of her plants daily?
Answer:
2 times each day
1 liter is 1000 milliliters
the watering can has a capacity of 3 liters which is 3000 milliliters
her plants need 6,000 milliliters of water each day which means that she will need to fill her watering can twice a day.
Grandma has 4 bags of soil for her flower pots each flower pot needs 3/4 of a bag of soil how many flower pots can she fill
Answer:
5
Step-by-step explanation:
3/4 3/4 3/4 3/4= 4 + 1/4 + 1/4 + 1/4 + 1/4 = 1 = 5 1/4
Since you need 3/4 to fill a pot the answer is 5. WIth 1/4 left over
Brainliest please
Answer:
5 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Total no: of bags = 4
A mount each pot needs = 3/4
No: of pots it can fill = 4 ÷ 3/4 = 4 x 4/ 3 = 16/ 3 = 5 [tex]\frac{1}{3}[/tex]
Is it right?
A math question I need help in
If you flip two coins 4 times,
What is the best prediction possible for the number of times both coins will land on heads ?
Answer:
1
Step-by-step explanation:
The different possibilities for flipping two coins are:
TT
TH
HT
HH
Only 1/4 is two heads.
Since you're finding the best prediction possible for the number of times both coins will land on heads out of 4 times, that means its 1/4 * 4 = 1 time
Answer:
1/4 is the probablity
Step-by-step explanation:
if you flip 2 coins one time the no.of outcome are 4 if you flip is 4 time no.of outcomes are 16
P(E)= favourable outcomes/ total no.of outcomes
= 4/16
= 1/4
PLS MARK BRAINLIEST, THNX
oscar paid $130 for 4 tickets to the amusement park. Each ticket cost the same amount. What is the cost in dollars and cents per ticket
Please help.
Answer:
32.5 each ticket cost
Step-by-step explanation:
130÷4=32.5
John works two jobs. He earns $10 an hour babysitting his neighbor's children and $15 an hour mowing lawns in his neighborhood. Last week he worked a total of 20 hours and earned a total of $240.
Drag and drop numbers in the boxes to create an equation which models this situation if x = the number of hours he spent babysitting and y = the number of hours he spent mowing lawns last week.
The number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given that, John works two jobs. He earns $10 an hour babysitting his neighbour's children and $15 an hour mowing lawns in his neighbourhood. Last week he worked a total of 20 hours and earned a total of $240.
Let the x be the number of hours he spent babysitting and y be the number of hours he spent mowing lawns last week,
Establishing the equation, we get,
x+y = 20
x = 20-y......(i)
10x+15y = 240.......(ii)
Using the equation (i) in (ii), we get
10(20-y)+15y = 240
200-10y+15y = 240
5y = 40
y = 8
Put y = 8 in eq(i)
x = 20-8
x = 12
Hence, the number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.
For more references on equations, click;
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Subtract 8 - 3 3/8. Simplify the answer and write as a mixed number.
Answer:
not 100% sure but I think it's 27/8
Step-by-step explanation:
I give you all right to be mad if i'm wrong (:P)
What is y=- x +3 in standard form using integers?
Answer:
x+y = 3
Step-by-step explanation:
A distribution is given as X ~ U(0, 12). Find P(x > 6). (Enter an exact number as an integer, fraction, or decimal.)
Answer:
Step-by-step explanation:
The value of P(x>6) is 1/5.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that A distribution is given as X ~ U(0, 12).
We need to find the value of P(x > 6)
The probability density function of the uniform distribution is defined as:
f(x)=1/b-a, a<x<b
a=0 and b=12
f(x)=1/12 , 0<x<12
The required probability is P(x>6)
Now P(x>6)= [tex]\int\limits^2_6 {f(x)} \, dx[/tex]
P(x>6)=(12/12-6/12)
=1-1/2
=1/2=0.5
Hence, the value of P(x>6) is 1/5.
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The oxygen fuel tank for NASA’s new SLS (Space Launch System) holds about 740,000 L of liquid oxygen. Liquid oxygen has a density of 1141 g/L. The oxygen will react with liquid hydrogen to produce the rocket’s thrust.
Calculate the mass of hydrogen needed to completely react all the oxygen:
2H2+O2→2H2O
Liquid hydrogen has a density of 71 g/L. What is the minimum volume of liquid hydrogen needed to completely react all the liquid oxygen?
Calculate the volume (in liters) of the combined fuel tanks:
Answer:
how did this get in the math section._.
What is the equation of the line that passes through the point (-7, 2) and has a
slope of -1?
Answer:
Point-Slope Form: y-2 = -1(x+7) Slope-Intercept Form: y = -x-5 Standard Form: x+y = -5
Step-by-step explanation:
Because we were giving the slope and a point, we can write this in point-slope form.
Point-Slope Form: y-y1=m(x-x1)
Substitute the point and slope into (x1,y1) and m: y-2 = -1(x-(-7))
y-2 = -1(x-(-7)) = y-2 = -1(x+7)
y-2 = -1(x+7)
If want in slope-intercept form (y=mx+b),
y-2 = -1(x+7)
y-2 = -1x-7
y = -1x-5 = y = -x-5
To convert to standard form (ax+by=c)
y = -x-5
y+x = -5 = x+y = -5
Hoped I've helped! Good Luck!
Honestly don’t understand how to do this so anyone know the answer?
Answer:
Your answer will be "B" Trust me
Answer:
Number 2
Step-by-step explanation:
If you substitute -1 to the x in the second equation you'll get 3+15=18
18=18
Tony has a bucket filled with 10 green, 3 blue, 1 red, and 7 yellow tennis balls. He removes 4 tennis balls from the bucket without replacing them.
Which of the following outcomes could represent the tennis balls Tony selected?
(A) All of the tennis balls are blue.
(B) There is 1 tennis ball of each color.
(C) There are exactly 3 green tennis balls.
(D) There are more red tennis balls removed than other colors.
(E) The number of red tennis balls is the same as the number of blue tennis balls.
Answer:
b
Step-by-step explanation:
Please help, will give brainliest!
Answer:
Step-by-step explanation:
In parallelogram, diagonals bisect each other
DP = IP
7x - 8 = 3x
7x = 3x + 8
7x - 3x = 8
4x = 8
x = 8/4
x = 2
NP = YP
3y = 7x - 2
3y = 7*2 - 2
3y = 14 - 2
3y = 12
y = 12/3
y = 4
Write the equation of a line parallel to the line 2x=3y
the image is your graph
PLEASE HELP I WILL MARK BRAINLEST IMMEDIATELY!!!
Tyra made 8 fewer
jackets than Zack.
They made 48 jackets
altogether. How many
jackets did Zack make?
Answer:
28
Step-by-step explanation:
40-8= 40 divided by 2 = 20 so zack made 28 jackets
