Answer:
9.1 cm
Step-by-step explanation:
v = s^3
751 = s^3
Take the cube root of both sides
9.0896392166 = s
Rounded
s = 9.1
Mary has 2 1/5 hours before she needs to meet her friend. She needs to take care of 7 chores before then. How much time can she allocate to each chore?
around 19 minutes ^^
(18.85 minutes)
Mary can allocate to each chore around 18.85 minutes.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that Mary has 2 1/5 hours before she needs to meet her friend. She needs to take care of 7 chores before then.
Hence, we get
2 and 1/5 hours = 132 minutes (120 + 12)
thus, Mary will have 132/7 = 18.85714285714286 minutes for each chore.
Or around 18.85 minutes for each chore
Therefore, she can allocate to each chore around 18.85 minutes.
Learn more about the unitary method;
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HELP DUE IN 1 MINUTE 5x^3 + 20x^2-160x
Represent the following expressions as a power of the number a (a≠0): (a^2*a^2*a^2)^3
i need help on i ready what is the length of the breathing tube
Answer:
The average size of the tube for an adult male is 8.0, and an adult female is 7.0,
The typical depth of the endotracheal tube is 23 cm for men and 21 cm for women
3x-8=3(1x-3)-2
whats the answer to that problem
Answer:
-3
Step-by-step explanation:
......................
please help with statistic 20
Part A
p = 0.32 = probability of someone voting by internet
n = 13 = sample size
x = 10 = number of people who voted by internet
Apply the binomial probability formula.
[tex]P(x) = (_n C _x)*(p)^{x}*(1-p)^{n-x}\\\\P(10) = (_{13} C _{10})*(0.32)^{10}*(1-0.32)^{13-10}\\\\P(10) = (286)*(0.32)^{10}*(0.68)^{3}\\\\P(10) \approx 0.0010124942242\\\\P(10) \approx \textbf{0.00101}\\\\[/tex]
Note: the [tex]_n C_x[/tex] refers to the combination formula.
Answer: 0.00101=============================================================
Part B
We could apply the binomial theorem for the following values of x: {10,11,12,13}. Then would add up the results.
However, such a task is fairly tedious and it's more efficient to use computer software (or a graphing calculator). Also, there's the element of limited time that you'll need to consider. I showed the steps for part A above because your teacher may have wanted you to list them. Usually it's better to rely on software for that task as well. At the very least, it's useful to have software to check your answer.
Whichever method you use, you should find the following:
P(10) = 0.00101P(11) = 0.00013P(12) = 0.00001P(13) = 0The last value isn't exactly 0, but it's so small that it's effectively zero. This is because we only have 5 decimal places to work with.
Add up those four values to get:
[tex]P(x \ge 10) = P(10)+P(11)+P(12)+P(13)\\\\P(x \ge 10) \approx 0.00101+0.00013+0.00001+0\\\\P(x \ge 10) \approx 0.00115\\\\[/tex]
A faster shortcut is to use your calculator's binomCDF function.
This result of 0.00115 is fairly small. The usual distinction we make between whether a probability is small or not is to set up some kind of threshold. This threshold is known as the significance level. By default, it's set to 0.05 unless your teacher specifies otherwise. Another common significance level is 0.01, but it's usually mentioned.
Since 0.00115 is smaller than 0.05, and even 0.01, we consider the probability of getting 10 or more internet voters to be a significant event. It's fairly unusual to get 10 or more people voting by internet in this sample of n = 13 people.
Answer: Choice A) Yes, because the probability of 10 or more is 0.00115, which is low.=============================================================
Part C
Like with part B, we could find the binomial probability values for x = {1,2,3,...,11,12,13}. We could add up the values like I did, or use the binomCDF function which is faster.
Another approach is to use the complement of the event "at least 1". If x is some number in the set {0,1,2,..,12,13}, then either [tex]x = 0[/tex] or [tex]x \ge 1[/tex]
From this, we can say
[tex]P(x=0) + P(x \ge 1) = 1\\\\P(x \ge 1) = 1-P(x=0)\\\\P(x \ge 1) \approx 1-0.00665\\\\P(x \ge 1) \approx 0.99335\\\\[/tex]
This then rounds to 0.993
Answer: 0.993what is the correct Answer?!
Answer:
B
Step-by-step explanation:
2⁶
2³
2⁶
2³
then add the ⁶+³+⁶+³ =18
2¹⁸
Please complete this for me
Write the equation of the following parabolae in their canonical form and hence find their vertices, foci and directrix.
1.
[tex] {y}^{2} - 6y - 2x + 19 = 0[/tex]
2.
[tex] {x}^{2} + 4x + 4y + 16 = 0[/tex]
Given:
y² - 6y - 2x + 19 = 0This is a horizontal parabola.
Canonical form of horizontal parabola is:
4a(x - h) = (y - k)², where (h, k) is vertexFocus is:
F(h + a, k)Directrix is:
x = h - aConvert the equation:
y² - 6y - 2x + 19 = 0y² - 6y + 9 - 2x + 10 = 0(y - 3)² = 2x - 10(y - 3)² = 4(1/2)(x - 5)We got:
h = 5, k = 3, a = 1/2Focus is:
F(5 + 1/2, 3) = F(5.5, 3)Directrix is:
x = 5 - 1/2 = 4.5#2Given:
x² +4x + 4y + 16 = 0This is a vertical parabola.
Canonical form of vertical parabola is:
4a(y - k) = (x - h)², where (h, k) is vertexFocus is:
(h, k + a)Directrix is:
y = k - aConvert the equation:
x² + 4x + 4y + 16 = 0x² +4x + 4 + 4y + 12 = 0(x + 2)² = -4y - 12(x + 2)² = 4(-1) (y + 3)We got:
h = - 2, k = -3, a = - 1Focus is:
F(-2, -3 - 1) = F(-2, - 4)Directrix is:
y = -3 - (-1) = - 2A line that passes trough the point (7,3) with slope of -1 ( answer plesse I need help )
Answer:
Slope-Intercept Form:
The equation of a line in slope-intercept form is y=mx+b. Since we know that the slope is -1, the equation so far is y=-x+b. To find the value of b, substitute in the given point.
3=-7+b
Add 7 to both sides.
10=b
The equation of the line is slope intercept form is y=-x-10.
Point-Slope Form:
The equation of a line in point-slope form is y-y1=m(x-x1). Substituting in the given point and slope, the equation is y-3=-(x-7).
Hope this helps! :)
Answer:
y= -x + 10
Step-by-step explanation:
3 = -1(7) + b
3 = -7 + b
10 = b
Since the slope is -1, that means it's just -x
So y = -x + 10
A) (2x-10)(3x+1)
B) (3x+2)(2x-5)
C) (2x+5)(3×+1)
D) (2x+1)(3×+5)
E) None of the above. The quadratic f(x) = 6x] + 11X - 10
would have which of the following
factors?
Answer:
B
Step-by-step explanation:
(3x+2)(2x-5)
Brainliest?
What is the next term in the sequence 58, 47, 36, 25,. ? –58 –8 14 69.
Answer:
14
Step-by-step explanation:
58, 47, 36, 25,. ?
Each term is 11 less than the preceding term
the term after 25 will be
25 - 11 = 14
if 5/6 of the 30 motorcycles were new, how many motorcycles were used
Answer:
5 Motorcycles are used
30÷6= 5
5×5= 25
30-24=5
so the answer is 5
Answer:
5 out of the 30 motorcycles are used
Step-by-step explanation:
First, we should look at what we know. We know that there are 30 motorcycles in total. As a fraction, that'd be 30/30. We also know that of that 30, the equivalent of 5/6 are brand new.
Our next step is to figure out how much 5/6 is out of 30. Since we know that in total there 30/30 motorcycles, we need to convert 5/6 to have a denominator of 30. So what times 6 equals 30.
30 ÷ 6 = ? opposite of 6 x ? = 30
5 divide
So now we now that 6 times 5 equals 30. What we do to the denominator we must do to the numerator.
[tex]\frac{5}{6}[/tex] × [tex]\frac{5}{5}[/tex]
[tex]\frac{25}{30}[/tex]
Now we know that 25 of the 30 motorcycles are new and all we need to do is subtract that 25 from the total 30 to get 5. This tells us that 5 of the total motorcycles are used.
I hope this helped :)
the perimeter of rectangle is 2x² + 4x - 4y. its length is (2x - 3y). find the breadth of rectangle
plz help fast plz plz
Perimeter = 2 (l + b)
2x² + 4x - 4y = 2 {(2x - 3y) + b}
2x² + 4x - 4y = (4x - 6y) + 2b
2x² + 4x - 4y - (4x - 6y) = 2b
2x² + 4x - 4y - 4x + 6y = 2b
2x² + 2y = 2b
(2x² + 2y)/2 = b
x² + y = b
Breadth = x² + y
What does the A stand for in the star problem solving process
Affect
Agree
Add
Act
The answer is D. Act.
STAR stands for Situation, Task, Action, Result.
Answer:
act
Step-by-step explanation:
A stands for act. Act on your plan and work the problem out.
Sully built a shelf 8 5/8 inches wide for his DVD collection. If each DVD is 3/8 inches
wide, how many can he fit on the new shelf?
Answer:
23
Step-by-step explanation:
8 5/8 = 69/8
Each DVD is 3/8 inches
Ignore the denominators
We have 69 and 3
69 is 23 times bigger than 3, so 23 DVD's can fit
Simplify.
x2+2x−3/
x−4/
2x2+5x−3/
x^2−16
x2−x−12/2x−3
x2−5x−4/2x−1
x2+3x−4/2x−1
x2+x−12/2x−3
Answer:
x^2 + 7x- 3/x - 3/x^2 -16
Step-by-step explanation:
Key: ( ^ ) means exponent
= x^2 + 2x- 3/x -2x^2 + 5x- 3/x^2 -16
= x^2 - 2x^2 + 2x+5x - 3/x- 3/x^2 -16
= x^2 - 2x^2 = -x^2
= -x^2 + 2x + 5x- 3/x- 3/x^2-16
As you see you add 2x and the 5x and got 7x
= Answer : x^2 + 7x- 3/x - 3/x^2 -16
Answer:
I think the answer is x^2+3x-4/2x-1
can anyone please help me asap? thanks in advance.
1. In three minutes Alex typed 120 words. At this rate, how long would it take him to type a 4800 word assignment?
2. The ratio of the length to the width of the Canadian flag is 2:1. What is the width of a 50 cm long Canadian flag?
3. A bulk nut mixture is priced at $1.14 per 100 grams. How much is 600g of this mixture?
please show ur work for each.
Answer:
1. 2 hours
2. 25cm
3. 6.84
Step-by-step explanation:
120÷3=40
4800÷40=120 so 2 hours
for the second one just divide 50 in half
for 3 just do $1.14×6
Answer:
1. 120 min
2. 25 cm
3. $6.84
Step-by-step explanation:
1. 120 words : 3min
multiply each side by 40 because 120 words times 4 is 4800 words
4800 words : 120min
2. 2 : 1 = length : width
multiply each side by 25 because 2 times 25 is 50 cm
50 cm : 25 cm
3. $1.14 : 100 grams
multiply each side by 6 because 100 grams times 6 is 600 grams
$6.84 : 600 grams
What number is furthest from 0 on a number line? 16 or 18?
"Four is three times the sum of a number and two."
turn this into an equation
Answer:
4=3(n+2) or if you want the unknown variable to be x, then 4=3(x+2)
Step-by-step explanation:
Four is : 4=
3 times the sum : 3(_+_)
sum of a number and two : n+2
4=3(n+2)
Hello! :)
4=3(z+2)
Explanation:
4 is means 4=
3 times the sum of a number and two. There's a hint that tells us that we should multiply 3 by both the number and two, and here's how we indicate that:
3(z+2)
Let our number be z.
The sum of two numbers means we add the numbers together.
So, our equation looks like this:
4=3(z+2)
Hope it helps you!
If you have any query, feel free to ask!
~An excited gal
[tex]MagicalNature[/tex] here to help
solve pls brainliest
1) No, because it is a repeating decimal
2) Yes, because it is neither terminating nor repeating
3) Yes, because it is a terminating decimal
4) No, because it is a repeating decimal
WILL GIVE BRAINLIEST
PLEASE HELP
(LINKS/WRONG ANSWERS/WANNA BE FUNNY ANSWERS/NO ANSWERS/. WILL BE REPORTED!!!
Your above-ground pool has sprung a leak, and you do not have a way to fix it. At 12 noon, the water in the pool is 5 feet deep (in other words, the water level is 5 feet above the ground). You are not sure how quickly the pool level is falling, so you check again after 40 minutes and see that the height of the water level is now feet. You notice that there is a relationship between the time that has passed to the height of the water level in the pool.
Answer:
Step-by-step explanation:
2 √7+3√7
can you guys give me the answer and explanation
Answer:
5[tex]\sqrt{7}[/tex]
Step-by-step explanation:
This is similar to collecting like term in algebra
2[tex]\sqrt{7}[/tex] + 3[tex]\sqrt{7}[/tex]
= (2 + 3)[tex]\sqrt{7}[/tex]
= 5[tex]\sqrt{7}[/tex]
HELP!!! IM CONFUSED
Answer:
2/3Step-by-step explanation:
If we want to find the slope, the most easiest way to find the slope is to use 'Rise/Run'. Two points are given, lets use those points and find the slope.
=> We see that the rise is 2. So 2 will be our numerator,
=> We can also see that the run is 3. So 3 will be our denominator.
What do we get?
We get 2/3 as our slope. Therefore, B is our answer. Hoped I helped.
A store owner has 65.5 pounds of candy. If he splits the candy equally into 5 boxes, how many pounds of candy will each box contain?
Answer: Each box of candy would contain 13.1 pounds of candy.
Step-by-step explanation:
Divide 65.5 by 5. Hope this helps!
hi please help me with part b and can you see if i did a correctly pls?
a is right its 58
and in my opinion i think b would be 58*5=290 cents, since nickel is worth 5 cents.
but gotta check other people's answers
Which function has the graph shown below? *
a. f(x) = x² - 4
b. f(x) = x² + 4
c. f(x) = (x + 4)²
d. f(x) = (x - 4)² opps dont forget to change the sign
Answer:
C
Step-by-step explanation:
yeah-ya......... right?
given g(x)=-2x+1 solve for x when g (x)=5
Answer:
x = -2
Step-by-step explanation:
g(x) = 5
-2x + 1 = 5
-2x = 5 - 1
-2x = 4
x = 4/-2
x = -2
_________
[tex]\:[/tex]
g(x) = 5
5 = -2x + 1
5 - 1 = -2x
4 = -2x
x = -2
1428 rounded to the nearest thousandth
Answer:
1428- one is in the thousandth place
the number beside is lower than five so drop it and add zero to the end
1000 -is now your answer
Step-by-step explanation:
hope this helps if not then sorry goodluck and bye
The number 1428 to the nearest thousand is 1000.
When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.
1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
Here, the question said the nearest thousand, so I had to look at the value in the hundred places which is 4 and less than 5.
Hence round the number down.
So, 1428 to the nearest thousand is 1000.
To learn more about rounding numbers visit:
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