A fraction which is less than 1/3 is 1/6
How to find quantities which are less than a given quantity?We can lessen a quantity if we take out some positive part from it.
Thus, suppose if it is given that there are 'T' things, then a quantity which is less than 'T' would be 'T - S'
where S is something positive.
(there can be infinite number of values less than a specific finite value, and similarly, there can be infinite number of values more than a specific finite value).
For the given case, the fraction given is 1/3
Let a fraction which is less than it be denoted by F
Then,
[tex]F < 1/3\\F = \dfrac{1}{3} - S[/tex]
Let S = 1/6
Then, we get value of F as:
[tex]F = \dfrac{1}{3}- \dfrac{1}{6} = \dfrac{2 - 1}{6} = \dfrac{1}{6}\\[/tex]
Thus, 1/6 is a fraction which is less than the given fraction 1/3
Learn more about fractions here:
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A popular restaurant chain advertises that it delivers orders within 30 minutes. Suppose the average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes. One particular order delivery took 35 minutes. What is the z-score for this delivery time?
–2.67
–1.67
1.67
2.67
Answer:2.66
Step-by-step explanation:
The z-score for this delivery time is 2.67
What is z-score?A z-score is defined as the fractional representation of data point to the mean using standard deviations.
Given,
Restaurant delivers orders within 30 minutes
The average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes(ц) = 27
One particular order delivery took 35 minutes(X)= 35
ц = 27
σ = 3
X = 35
z-score = (X-ц )/σ
Substitute the values,
z-score = (35-27 )/3
z-score = 8/3
z-score = 2.67
Hence, the z-score for this delivery time is 2.67.
Learn more about z-score
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Does -3/4 equal 3/(-4)?
Answer:
Yes
Step-by-step explanation:
When you're dividing 2 numbers, the order of the negatives doesn't matter. As long as one of the numbers is negative, the result will be negative. Since the order of these numbers are the same (with 3 first and 4 second) they will have the same value.
Q. There are 42 teachers that work in a school. On Friday, 29 teachers were present What
percent of the teachers showed up for work?
Answer:
69%
Step-by-step explanation:
How do you write 7/10 as a percentage?
Answer:
70%
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
Help me with this plz!?!? I will mark brainliest!!!
Terence works as a carpenter and a blacksmith.He earns $30 per hour as a carpenter and $45
per hour as a blacksmith. Last week, Terence
worked a total of 55 hours and earned a total of
$2070. How long did Terence work as a carpenter
last week, and how long did he work as a blacksmith?
Answer:
he worked 69 hours
Step-by-step explanation:
if u do 2070 divided by 30 u will get 69 and theres your answer
degree of precision 15.68 x 1.1
Answer:
15.68×1.1 = 17.248 so if we see then it has 5 sig figs
A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds?
Help me please I need help on this
Answer:
1 lb
Step-by-step explanation:
Picked up 3/5 and 4/5.
Used 3/8.
Amount now:
3/5 + 4/5 - 3/8 =
= 7/5 - 3/8
= 56/40 - 15/40
= 41/40
Answer: 1 lb
PLEASE HELP!!! (20 POINTS)
Is it true that [20+(−1)0]0=1? Explain.
A.No, because the negative sign will cancel the values, resulting in zero.
B.Yes, because the negative sign will cancel the values, resulting in one.
C.No, because any number raised to the zero power is zero.
D.Yes, because any number, except zero, raised to the zero power is one.
Solve for x. Round to the nearest hundredth. ?!?!? Please HELPP ASAP
I really don't know this I'm so sorry
Answer:
14
Step-by-step explanation:
Well, a right triangle has a total of 90 degrees, if the hypotenuse is 22, and leg b is 54, then the remaining leg a would have to be 14.
ABCDE is a regular pentagon. Find each lettered angle measure.
Answer:
x° = 36°, y° = 36°, z° = 72°
Step-by-step explanation:
Each interior angle of a regular polygon is given by the following formula;
Interior angle = (n - 2)×180°/n
Where;
n = The number of sides on the polygon
For the pentagon, we have;
n = 5, therefore;
Interior angle = (5 - 2)×180°/5 = 108°
ΔDCA is an isosceles triangle, with the segments CD and CA being equal, therefore;
∠ADC = ∠DAC = x°, and ∠ACD = 108°
Therefore
x° = (180° - 108°)/2 = 36°
x° = 36°
∠BAC = 2·x° + y° = 108°
∴ y° = 108° - 2·x° = 108° - 2 × 36° = 36°
y° = 36°
ΔADE is an isosceles triangle, with segments AD and AE equal, therefore, the base angles are z° each
Therefore, in ΔADE, we have;
z° = (180° - 36°)/2 = 72°
z° = 72°
what does pie mean. does it mean this
If there are 2.54 centimeters in an inch and 12 inches in a foot . How many centimeters are in 3 feet ?
Answer - 91.44
Step-by-step explanation:
3 feet = 36 inches
1 inch = 2.54 centimeters
2.54 x 36 = 91.44
Reid's Hardware discounts all riding lawnmowers 9% to customers paying in cash. If Trey paid $1,390.49 in cash for a riding lawnmower, which of the following equations can be used to determine the original price of the lawnmower?
Answer:
The original price of the lawnmower is $ 1,528.
Step-by-step explanation:
If Reid's Hardware makes a 9% discount on cash payments, and Trey paid $ 1,390.49 for his lawnmower, to determine the initial cost of the same, the following calculation must be performed:
100 - 9 = 91
91 = 1,390.49
100 = X
(100 x 1,390.49) / 91 = X
139.049 / 91 = X
1.528 = X
Thus, the original price of the lawnmower is $ 1,528.
An electrician charges (1) an initial fee of $20 and then $30 per hour. What type of graph does this represent?
an increasing only graph
a decreasing only graph
an increasing and decreasing graph
Answer:
this is an increasing graph. of y = 30x + b
Step-by-step explanation:
since all that is happening is that people are adding money, the graph just goes up and up
(Find the distance between each of the following complex numbers. Give your answers in simplified radical form, and show all your work.)
1.) -1+i and -3-4i
2.) 1+i and 7-2i
3.) -3+4i and -6-i
4.) -2+3i and 2-2i
5.) 3 and 5+i
6.) -4+5i and 2-i
Thank you!
Answer:
I) √29
ii) 3√5
iii) 5√5
iv) √41
v) √5
vi) 6√2
Step-by-step explanation:
1)
Given complex numbers -1+i and -3-4i
The points are ( -1 , 1) and (-3 , -4 )
Distance formula
[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]
= [tex]\sqrt{(-4-(1) )^{2} +(-3 -(-1) )^2 } = \sqrt{25+4} =\sqrt{29}[/tex]
2)
Given complex numbers 1+i and 7-2i
The points are ( -3,4) and (-6,-1)
Distance formula
[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]
[tex]\sqrt{(-2-1 )^{2} +(7-1)^2 } = \sqrt{9+36} =\sqrt{45}= 3\sqrt{5}[/tex]
3)
Given complex numbers -3 +4i and -6-i
The points are ( -3 ,4 ) and (-6 ,-1)
[tex]\sqrt{(-1-4 )^{2} +(-6-4)^2 } = \sqrt{25+100} =\sqrt{125}= 5\sqrt{5}[/tex]
4)
Given complex numbers are -2+3i and 2-2i
The points are ( -2 ,3) and (2 , -2)
[tex]\sqrt{(-2-3 )^{2} +(2+4)^2 } = \sqrt{25+36} =\sqrt{41}[/tex]
5)
Given complex numbers are 3 and 5+i
The points are( 3,0) and (5,1)
[tex]\sqrt{(1-0 )^{2} +(5-3)^2 } = \sqrt{1+4} =\sqrt{5}[/tex]
6)
Given complex numbers are -4+5i and 2-i
The points are ( -4 ,5) and ( 2,-1)
[tex]\sqrt{(-1-5 )^{2} +(2-(-4))^2 } = \sqrt{36+36} =\sqrt{72}= 6\sqrt{2}[/tex]
Solve the equation
1/2 k + 2 = 5 + 5/6 k
a. 2 1/4
b. -9
c. 9
d. -21
Please select the best answer from the choices provided
Answer:
1/2k+2=5+5/6k
-3 = 5/6k-1/2k
-3=2/6k
k= -9
Final Answer: [tex]k = -9[/tex]
Steps/Reasons/Explanation:
Question: Solve the equation [tex]\frac{1}{2} k + 2 = 5 + \frac{5}{6}k[/tex]. Please select the best answer from the choices provided.
[tex]a.[/tex] [tex]2\frac{1}{4}[/tex]
[tex]b.[/tex] [tex]-9[/tex]
[tex]c.[/tex] [tex]9[/tex]
[tex]d.[/tex] [tex]-21[/tex]
Step 1: Simplify [tex]\frac{1}{2}k[/tex] to [tex]\frac{k}{2}[/tex].
[tex]\frac{k}{2} + 2 = 5 + \frac{5}{6}k[/tex]
Step 2: Simplify [tex]\frac{5}{6}k[/tex] to [tex]\frac{5k}{6}[/tex].
[tex]\frac{k}{2} + 2 = 5 + \frac{5k}{6}[/tex]
Step 3: Multiply both sides by [tex]6[/tex] (the LCM of [tex]2, 6[/tex]).
[tex]3k + 12 = 30 + 5k[/tex]
Step 4: Subtract [tex]3k[/tex] from both sides.
[tex]12 = 30 + 5k - 3k[/tex]
Step 5: Simplify [tex]30 + 5k - 3k[/tex] to [tex]30 + 2k[/tex].
[tex]12 = 30 + 2k[/tex]
Step 6: Subtract [tex]30[/tex] from both sides.
[tex]12 - 30 = 2k[/tex]
Step 7: Simplify [tex]12 - 30[/tex] to [tex]-18[/tex].
[tex]-18 = 2k[/tex]
Step 8: Divide both sides by [tex]2[/tex].
[tex]-\frac{18}{2} = k[/tex]
Step 9: Simplify [tex]-\frac{18}{2}[/tex] to [tex]-9[/tex].
[tex]-9 = k[/tex]
Step 10: Switch sides.
[tex]k = -9[/tex]
~I hope I helped you :)~
answers please this is very hard :))
Answer:
1. you dont add before you multiply
2 they didnt do the parenthesis first...which was their mistake
Step-by-step explanation:
what is the standard form of this expression?
(3x+4)(x-8)
Answer:
Step-by-step explanation:
(3x + 4) (x - 8)
3x2 - 8x + 4x - 32
3x2 - 4x - 32
Option B is the correct answer
Answer:
3x2 − 20x − 32
Step-by-step explanation:
Plato answer
the perimeter of the ussoscales triangle is 48cm calculate the length of BC
Answer:
where is the pic............
Find - square root 36
A.+6
B.-6
C.6
D.18
Help the I
Answer:
A.
Step-by-step explanation:
How do you write 22over5 in this
Answer:
00004.40 if you need to fill in every box. If not, 4 in front of the decimal, and a 4 after.
(x - 3)(x + 4) = x^2+4
Answer:
x=16
Step-by-step explanation:
Multiply (6.5 x 10)(1 x 10). Express the result in scientific notation.
Answer:
ans=6.5×10²
Step-by-step explanation:
ans =650=6.5×10²
can someone hep me with this
Answer:
What do you need help with?
Step-by-step explanation:
Find the distance across the bridge
Answer:
32.5 ft
Step-by-step explanation:
Answer:160
Step-by-step explanation:
I think because it shows 160 feet all the way down as the 32 and 20 are only the height of the bridge
Please help me with this question.
Answer:
Brand A price per diaper: 0.3
Brand B price per diaper: 0.3
Brand B is the better buy.
This can be found by taking the price of each brand and dividing it by the amount of diapers in each pack.
ex:
$11.49 / 36 = $0.32 (then round to nearest tenth)
Jimmy and Chris go to Chick-fill-A. Jimmy orders 2 chicken sandwhiches and 5 cookies and pays
$17. Chris orders 3 chicken sandwiches and 2 cookies and pays $20. How much does a chicken
sandwich cost?
Answer:
A sandwich costs $6
big points.
if x amount of people report this question, and it gets removed in 1 minute, and when 2x amount of people report this question, it gets removed in thirty seconds, writes a linear equation with y being how quickly it is removed, and x being people reporting it.
#forthememe
(it would be very ironic if this question was reported
Answer:
Y= 60 seconds divided by X
This is exponential, if x were 1 , Y' d. be 60 seconds. X=2, Y= 60/2 = 30.
Step-by-step explanation:
LIKE UR MEME