Answers
Answer:
[tex]1\frac{1}{9} ft^{3}[/tex]
Step-by-step explanation:
One cube is 1/3 x 1/3 x 1/3 or 1/27
In the rectangular prism there are 30 of those small cubes.
30 * 1/27 = 30/27= [tex]1\frac{3}{27}[/tex] or [tex]1\frac{1}{9} ft^{3}[/tex].
Related Questions
Write an equation of the line with a slope of 3 and a y-intercept of 4.5.
Answers
Answer:y= 3x + 4.5
Step-by-step explanation:
A coffee shop sells refill mugs for $7.50 each. Each coffee refill costs $1.75. Last month, Cody spent $42.50 on a mug and refills. Which equation can you use to find how many refills Cody bought. (Let x = the number of refills) How many refills did Cody buy last month? 10, 12, 20, or 25
Answers
Answer:
cannot see equations to select from but I got '7.50 + 1.75x = 42.50'
20 refills
Step-by-step explanation:
7.50 + 1.75x = 42.50
1.75x = 35
x = 35 / 1.75
x = 20
Solve 10 + 6(–9 – 4x) = 10(x – 12) + 8.
A)
x = –6
B)
x = 2
C)
x = 17
D)
x = –18
Answers
Answer: x = 2
Step-by-step explanation:
first, we remove the parentheses.
10 - 54 - 24x = 10x - 120 + 8
then, we just calculate that out.
-44 - 24x = 10x - 112
next, we move the terms.
-24x - 10x = -112 + 44
then, we collect the like terms and calculate it.
-34x = -68
finally, we divide both sides.
x = 2
a) Work out the value of angle x.
b) Give reasons for your answer.
Answers
Answer:
60 degrees
Step-by-step explanation:
The bottom and top horizontal lines are parallel. This means x and the bottom right angle in the triangle are the same. Because of the lines going through the triangle's sides we know the triangle's lengths are the same, making it an equilateral triangle. In an equilateral all angles are the same size: 60 degrees.
need help with the slope
Answers
Answer:
for sure it's a negative since the slop is going down.. other than that, that's all I can help you with since I'm barely learning about that too :)
A wheel assembly is
made from 2 wheels,
each weighing 2.6
pounds, and a steel
axle, which weighs
1.8 pounds. What is
the total weight of
the assembly?
Answers
Answer:
The total weight of the assembly is 7 pounds.
Step-by-step explanation:
The total weight of the assembry is found by the sum of the weights of each components.
We have:
2 wheels, each weighing 2.6 pounds, so 2*2.6 = 5.2 pounds
An axle, which weighs 1.8 pounds, so 5.2+1.8 = 7 pounds
The total weight of the assembly is 7 pounds.
In which of the following situations would it be appropriate to use a Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p?
(a) n = 10, p = 0.5
(b) n = 40, p = 0.88
(c) n = 100, p = 0.2
(d) n = 100, p = 0.99
(e) n = 1000, p = 0.003
Answers
Answer:
(c) n = 100, p = 0.2
Step-by-step explanation:
To approximate to use the normal distribution for a binomial, we need that:
[tex]np \geq 10, n(1-p)\geq 10[/tex]
So, for each option
(a) n = 10, p = 0.5
[tex]np = 10*0.5 = 5 < 10[/tex]
So not appropriate
(b) n = 40, p = 0.88
[tex]np = 40*0.88 = 35.2 > 10[/tex]
[tex]n(1-p) = 40*0.12 = 4.8 < 10[/tex]
So not appropriate.
(c) n = 100, p = 0.2
[tex]np = 100*0.2 = 20 > 10[/tex]
[tex]n(1-p) = 100*0.8 = 80 > 10[/tex]
So appropriate
(d) n = 100, p = 0.99
[tex]np = 100*0.99 = 99 > 10[/tex]
[tex]n(1-p) = 100*0.01 = 1 < 10[/tex]
So not appropriated
(e) n = 1000, p = 0.003
[tex]np = 1000*0.003 = 3 < 10[/tex]
So not appropriate
A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.
Given that,
Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.
We have to determine,
In which of the following situations would it be appropriate to use a normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.
According to the question,
Probabilities for a binomial distribution with the given values of n and p.
(a) n = 10, p = 0.5
(b) n = 40, p = 0.88
(c) n = 100, p = 0.2
(d) n = 100, p = 0.99
(e) n = 1000, p = 0.003
To approximate to use the normal distribution for a binomial is given as,
[tex]np\geq 10 , \ n(1-p)\geq 10[/tex]
When n = 10 and p = 0.5,[tex]= np \geq 10\\\\= 10 \times 0.5 = 5<10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 40 and p = 0.88,[tex]= n.p \geq 10\\\\= (40).(0.88) \geq 10\\\\= 35.2\geq 10\\\\Then,\\=n(1-p) = 40(1-0.88) \geq 10 \\\\= 40\times 0.12 \geq 10 = 4.8\leq 10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 100 and p =0.2,[tex]= n.p \geq 10\\\\= (100).(0.2) \geq 10\\\\= 20\geq 10\\\\Then,\\=n(1-p) = 100(1-0.2) \geq 10 \\\\= 100\times 0.8\geq 10 = 80\geq 10[/tex]
The normal distribution is greater than 10 so, this appropriate.
When n = 100 and p = 0.99,[tex]= n.p \geq 10\\\\= (100).(0.99) \geq 10\\\\= 99\geq 10\\\\Then,\\=n(1-p) = 100(1-0.99) \geq 10 \\\\= 100\times 0.01\geq 10 = 1\leq 10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 1000 and p = 0.003,[tex]= np \geq 10\\\\= 1000 \times 0.003 = 3<10[/tex]
The normal distribution is less than 10 so, this not appropriate.
Hence, A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.
To know more about Binomial Distribution click the link given below.
https://brainly.com/question/16776778
3
Solve for x.
-2x + 6 + 4x = -12
Answers
-2x+6+4x=-12
combine like terms
2x+6=-12
subtract 6 from both sides
2x+6-6=-12-6
simplify
2x=-18
divide both sides of the equation
2x/2= -18/2
simplify
x=-9
Mr.perkins has $120 in a savings account .the interest rate is 5% per year and it is not compounded how much will he have in 2 years
Answers
Answer:
The answer is $132
Step-by-step explanation:
120+ (5% of 120) (2)
120+(6)(2)
120+12
=132
Let
P be a polynomial function, and
P(x) = 23 – dx2 - 4x – 20. If
(2 – 2) is a factor of the polynomial, what is the value of
d?
Answers
Answer:
The value of d = -5
The polynomial function x³ +5 x² - 4x -20 =0
Step-by-step explanation:
Explanation
Given that the equation is third degree polynomial
p(x) = x³ - d x² - 4x -20
Given factors x= 2 and x=-2
Substitute 'x' = 2 in given polynomial
8 -d(2²)-4(2) - 20 =0
⇒ 8 - 4 d - 8 -20=0
⇒ - 4 d-20 = 0
⇒ - 4 d = 20
⇒ d = - 5
The value of d = -5
Verification:-
After substitution d =-5 in given polynomial
x³ - (-5) x² - 4x -20 =0
put x=2
8 +5(4)-8-20 =0
20 =20
The factors are x= 2 and x=-2 of the given polynomial
-1<9+n<17 and graph the answer after
Answers
Answer:
We get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]
Or we can write as: [tex]\mathbf{-10<n<8}[/tex]
The graph is shown is figure attached below:
Step-by-step explanation:
We need to solve the inequality [tex]-1<9+n<17[/tex] and graph the answer.
Solving the inequality
[tex]-1<9+n<17[/tex]
We know that if a<u<b then we can write a<u and u<b
So, we can write
[tex]-1<9+n \:and\: 9+n<17[/tex]
Solving these equations and finding values of n
[tex]-1<9+n \:and\: 9+n<17\\9+n>-1\:and\:9+n<17\\n>-1-9\:and\:n<17-9\\n>-10\:and\:n<8[/tex]
So, we get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]
We can write it as: -10< n and n<8
Overlapping we get: [tex]\mathbf{-10<n<8}[/tex]
The graph is shown is figure attached below:
A company sells, amongst other products, a medicated shampoo. The shampoo is sold in container sizes that are labeled as containing 500 ml. The volume of liquid that is actually put into the containers is normally distributed with a mean of 510 ml and a standard deviation of 10 ml.
(a) Estimate the probability that a container chosen at random will hold
(i) more than 520 ml
(ii) between 495 ml and 515 ml
(iii) less than the advertised amount
Answers
Answer:
between (ii)
Step-by-step explanation:
The ratio of 6:5 can be expressed as
Answers
Answer:
the ratio of 6:5 can be expressed as 6/5
4 times 4 times 4 times 4 times4 times 4. Using exponents, the expression is?
Answers
Answer:
It will have a 4 and then a five on the top right of it.
Step-by-step explanation:
4^5
Answer:
4^{5}
Step-by-step explanation:
Just basically what the other person said.
4 exponent 5
SOMEONE PLEASE PLEASE HELP!!!!!
Answers
Answer:
1800
Step-by-step explanation:
11/12 x 6/11 in simplest form
Answers
URGENT PLEASE HELP
Consider this equation.
cos(0)= -2√5/5
If 0 is an angle in quadrant II, what is the value of sin(0)?
Answers
Answer:
I hope this can help
Step-by-step explanation:
The value of sin(0) should be considered as the [tex]\sqrt{5} \div 5[/tex]
Calculation of the value of sin(0):Since the equation is [tex]cos(0)= -2\sqrt 5/5[/tex]
Also in the case when 0 is an angle in quadrant II
So based on this, we can say that value of sin(0) should be considered as the [tex]\sqrt{5} \div 5[/tex]
Learn more about an equation here: https://brainly.com/question/4874021
Please help. I need to know the answer. I will give brainliest
Answers
9514 1404 393
Answer:
1 4 8 9Step-by-step explanation:
blank 1
Locate x = 7 and find the y-value where the blue curve crosses.
f(7) = 1
blank 2
Locate x = -9 and find the y-value where the red curve crosses.
g(-9) = 4
blank 3
Locate y = 0 (the x-axis) and find the x-value where the blue curve crosses.
f(8) = 0
blank 4
Locate y = 2 and find the x-value where the red curve intersects.
g(9) = 2
What is the value of ⅝ ÷ ⅖
Answers
Answer:
25/16
Step-by-step explanation:
Remember, keep-change-flip
Turn this into a multiplication equation
[tex]\frac{5}{8} * \frac{5}{2}[/tex]
Multiply to get 25/16
will and olly share £80 in the ratio 3 : 2
Answers
Answer:
Will's share = 48
Olly's share = 32
Step-by-step explanation:
Will's share : Olly's share = 3:2
Will's share = 3x
Olly's share = 2x
3x + 2x = £ 80 {Combine like terms}
5x = 80 {Divide both sides by 5}
x = 80/5
x = 16
Will's share = 3x = 3*16 = 48
Olly's share = 2x = 2*16 = 32
If Janet maintains the same driving rate can she drive more than 600 miles in 10 hours?Explain
Answers
Which expression is equivalent to +7?
Which expression is equivalent to 5/6 divide to 7
Answers
Answer:
(5/6)/7!
5/(6*7!)=5/(6*7*6*5*4*3*2*1)=1/(6*7*6*4*3*2*1)=1/6048=0.0001653439
Step-by-step explanation:
The answer is 5/6x1/7
I'm Jeff Bezos. AMA (ask me anything)
Answers
Answer:
CAN I GET AMAZON GIFT CARD AND SOME MULLA THANKS LOVE YOU SUGAR ZZZADDY
Step-by-step explanation:
Five cats each ate 1/3 cup of canned food and 1/3 cup of dry food.
How much food did they eat altogether? Enter the answer in simplest form.
Answers
Answer:
Step-by-step explanation:
5/ 1/3=1.6x2=3.2
Answer: They are 3⅓ cups of food altogether.
Step-by-step explanation: 5 Cats. Each gets 1/3 canned plus 1/3 dry
5/3 + 5/3 = 10/3
Simplify that to 3⅓ cups.
At the start of the school year, there were 72 boxes of coloring pencils in the art room, with each box containing 12 packs. During the school term , 58 boxes were used. How many packs of coloring pencils were left?
Answers
Answer:
Take away the 58 boxes from the 72 boxes and you will have 14 boxes left.
Then you have to multiply the 14 boxes left, by the 12 packs of pencils what gives you 168 packs of colouring pencils left.
Solve for t in terms of u, v, w, and x.
Answers
Answer:
there's no image lol
Step-by-step explanation
A tool manufacturer has fixed costs of $68.00 a day and variable costs of $1.00 per screwdriver
produced. The company gets $2.50 per screwdriver sold. How many screwdrivers must be produced
daily to break even? Your answer should be a number only.
Answers
Answer:
46
Step-by-step explanation:
To breakeven, the total cost of the company which is the sum of the fixed and variable cost will be equal to the total sales of the company such that the profit/loss is zero.
Let x be the number of screwdriver that must be produced daily to break even
Then
68 + 1 * x = 2.5 * x
68 + x = 2.5x
collect like terms
68 = 2.5x - x
1.5x = 68
Divide both sides by 1.5
x = 68/1.5
= 45.33
This would be approximated to 46 screws
Consider the series 7/9+7/27+7/81+7/243
Answers
Answer:
=1 37/243
Step-by-step explanation:
the series is that the numerator is all 7
srry if its wrong i dont rlly understand what its asking
Answer:
= 1.1522....
Step-by-step explanation:
7/9 +7/27 +7/81 + 7/243
189 + 63 + 1,701 + 567
243. 19,683
= 252 + 2,268
243. 19,683
= 4,960,116 + 551,124
4,782,969
= 5,511,240
4,782,969
= 1.15
The letters from the word MATHEMATICS are placed in a hat. What is the probability of selecting an M and then selecting a T if the letters are selected at random and not replaced?
Answers
Game stop buys a game for $28 and marks the game up 64%. How much will you pay for the game?
Explain it and answer it please.
Answers
you would multiply 28 by the 64% (0.64). when you multiply, you should get $17.92. you take that price and subtract from the initial amount ($28), & you should get the final price which is $10.08 .