Answer:
C
Step-by-step explanation:
The actual average time = 81.5 minutes
The correct answer is an option (B) 81.48 minutes
What is percent error?"percent error = [(estimated value - actual value) / (actual value)] × 100"
For given example,
percent error (e) = 3%
estimated average time spent (x) = 84 minutes
We need to find the actual average time spent (y)
Using the formula of percent error,
⇒ e = [(x - y)/y] × 100
⇒ 3 = (84 - y)/y × 100
⇒ (84 - y)/y = 3/100
⇒ (84 - y) / y = 0.03
⇒ 84 - y = 0.03y
⇒ 84 = 0.03y + y
⇒ 84 = (1.03)y
⇒ y = 81.5 minutes
Therefore, the actual average time = 81.5 minutes
The correct answer is an option (B) 81.48 minutes
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A teacher has an annual income of $40,400. The income tax the teacher has to pay is 6.5%. What is the amount of income tax the teacher has to pay?
In which quadrant does 694 lie?
Answer: C. quadrant l
Step-by-step explanation:
Angle 694° lies Quadrant IV which is correct option (D)
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values
What is the quadrant?A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.
For Quadrant I : the value of x and y both are positive ( +,+ )
For Quadrant II : the value of x is negative and y is positive ( -,+ )
For Quadrant III : the value of x is negative and y is negative ( -, - )
For Quadrant IV : the value of x is positive and y is negative ( +, - )
Locate the quadrant of the angle.
If the angle is greater than 360°,
Subtract 360° until the angle is less than 360°.
⇒ 694 - 360
⇒ 334°
Hence, angle 694° lies Quadrant IV
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A scale drawing of a building shows 1 inch = 8 feet. How many feet are represented by 3 ¾ inches on the drawing?
Answer:
30 feet
Step-by-step explanation:
3x8=24 ft
3/4x*8= 6 ft
Lupita bought 7 pounds of pretzels at a local wholesaler for $16.80. Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75. Charles thinks he got the better deal because $12.75 is less than $16.80. Is Charles’s reasoning correct? Explain why or why not.
Answer:
Charles's reasoning is wrong.
Step-by-step explanation:
Lupita has 7 pounds for 16.8 and Charles has 5 pounds for 16.8.
Let's set up ratios.
So Lupita got the best deal, not Charles. Poor him.
help i am almost done
Rewrite the fraction in the sentence below as a percentage.
19
At a certain wedding,
of the guests were under 65 years old.
20
Answer: 95%
Step-by-step explanation:
19/20 divide
=0.95 turn into fraction form
= 95/100
=95%
a bat and a baseball costs $1.10. the bat costs $1 more than the ball. how much does the ball cost?
Answer: 0.10
Step-by-step explanation:
because u said that the bat was 1.00 more than the ball so the ball would be 0.10
Dennis recently purchased an old car for $1000, and he knows that each year, the car’s value will increase by 2% each year. What is the value of the car after 20 years?
solve the inequality 31< 3x+4
Using the common denominator, what is an equivalent fraction for 2/7
?
Answer:
The fraction 4/14 is equal to 2/7 when reduced to lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (2/7) by the same interger number, ie, multiply by 2, 3, 4, 5, 6
3. A team of biologists tagged 48 seals off the coast of an island. Later they captured a
sample of seals from the same area and found that 15% of them had tags. Use this
information to estimate the number of seals in the area.
Step-by-step explanation:
A team of biologists tagged 48 seals off the coast of an island.
later they captured a sample of seals from the same area and 15% of them had tags.
Estimate the total number of seals.
15 : 100 : : 48 : x
x
=4,800/15
=320
The total number of seals is about 320.
I hope it's helpful!
ik you want the points
plzz
Answer:
Line 1: Undefined
Line 2: -4/3
Line 3: 4/3
Line 4: Undefined
Line 5: 7/3
Line 6: -7/3
Line 7: 0
Line 8: 0
Line 9: Undefined
Line 11: 0
Line 10 & 12: Undefined
Step-by-step explanation:
Use the slope formula (you can just search up the slope formula)
Also, always remember that a vertical line's slope will be undefined and a horizontal line's slope will be 0 (zero).
I hope this helps!
In the diagram below of circle 0, diameter AB is
parallel to chord CD.
A. 110°
B. 70°
C. 55°
D. 35°
If mCD= 70, what is mAC?
Answer:
C. 55°
Step-by-step explanation:
The computation of mAC is shown below:
Given that
Diameter AB would be parallel to CD
McD = 70
Based on the attached diagram and the above information
mAC is
= (180 - 70) ÷ 2
= 55 degrees
hence, the correct option is third
find the cube root of 27a
Answer:
3a
Step-by-step explanation:
27a ÷ 3 (number of cube root) = 3a
Answer:
3 a
Step-by-step explanation:
is the right answer you welcome
A dog barks 30 times in 2 minutes. How many times does the dog bark per minute?
barks per minute
Answer:
15 times per minute
Step-by-step explanation:
just divide 30 by 2
Can someone pls help me solve? (20 points)
Answer:
liar is 10
Step-by-step explanation:
Answer:
J. [tex]x=125[/tex]
Step-by-step explanation:
[tex]log_{2} 24 - log_{2}3 =log_{5} x[/tex]
[tex]4.5- 1.5 =log_{5} x[/tex]
[tex]x=(log_{5})^{-1} (3)[/tex]
[tex]x=125[/tex]
Sid made 60% of the free throws that he attempted. If he attempted 40 free throws at basketball practice, how many did he make?
Answer:
iON know
Step-by-step explanation:
The graph of a linear system is shown. What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
(1,2)
Step-by-step explanation:
The solution would be where both lines intersect.
In this case, the intersected point is (1,2)
4k + 2 - k + 7 just answer it
Answer:
3k + 9
Step-by-step explanation:
PLS HELP ME!!! which matrix represents the system of equations below {8x-9y+13z=11
{-8x-5y+5z=15
{3x+4y-8z=-10
Answer:
The answer is below
Step-by-step explanation:
The system of equations:
8x-9y+13z=11
-8x-5y+5z=15
3x+4y-8z=-10
The equations can be represented in matrix form as:
AX = B
X = A⁻¹B
Therefore:
[tex]\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] ^{-1}\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}\frac{1}{19} &-\frac{1}{19}&\frac{1}{19}\\-\frac{49}{380}&-\frac{103}{380}&-\frac{36}{95} \\-\frac{17}{380}&-\frac{69}{380}&-\frac{28}{95} \end{array}\right] \left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-0.74\\-1.69\\0.13\end{array}\right] \\[/tex]
How many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches, lengths 3 1/3 inches, and height 2 1/3 inches?
Answer:
560 cubes
Step-by-step explanation:
width: 8 cubes
length: 10 cubes
height: 7 cubes
volume: 8*10*7=560
divided l, w, and h by 1/3 to get them in cubes
Answer:
Step-by-step explanation:
The awnser is multiply by 9 then multiply by 2
20 points.
Find the equation of the line: which passes through (1,-7) and is perpendicular to (-4,6) and (5,-3)
Answer:
-9 6 that is because the line has to be perpenducular to the other line
Step-by-step explanation:
Slope of line between points (-4, 6) and (5, -3)
=> Rise / Run
=> [6 - (-3)] / [(-4) - 5]
= 9 / (-9)
= -1.
Thus slope of perpendicular line
= -1 / (-1) = 1.
We have y = x + c.
When x = 1, y = -7.
=> (-7) = (1) + c, c = -8.
Hence y = x - 8.
4. Triangle TRY was reduced to form triangle PIE.
What number best represents the scale factor used
to change triangle TRY to triangle PIE?
OON
T
A
X
1987:6 5 4 3 2 -10
0
2 3 4 5 6 7 8
2
I
-5
- ?
8
A group of 12 adults and 26 children go to a theme park.
The total cost of tickets was £1804.80
And adults ticket costs £51.60
Find the cost for a child
Answer:
45.56923076923077
Step-by-step explanation:
Work out 51.6 x 12 which is 619.2 and subtract that from 1804.80 then x your answer which is 1,184.8 and divide by 26 to get your answer which is 45.569....
8 oranges cost $.78. How much will he spend to buy 40 oranges
Answer:
$3.90
Step-by-step explanation:
To get from 8 to 40, you multiply by 40/8, so you have to do the same to $.78. .78 * 40/8 is equal to 3.9, which would be $3.90.
Which of the coordinate points below will fall on a line where the constant of proportionality is 1/3? Select all that apply.
A) (5,8)
B) (3,1)
C) (9,3)
D) (12,4)
E) (18,6)
Answer:
The answer is B,C,D and E
The points that show the proportionality rate 1/3 are (3, 1), (9, 3), (12, 4) and (18, 6).
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
We have constant of proportionality is 1/3.
And the proportionality is represented as x/y = k, where x and y are two expressions and k is constant.
So, x / y = 1/3
A) (5,8)
x/y = 5/8 ≠ 1/3
B) (3,1)
x/y = 1/3
C) (9,3)
x/y = 3/9 = 1/3
D) (12,4)
x/y = 4/12 = 1/3
E) (18,6)
x/y = 6/18 = 1/3
Therefore, B, C, D and E are the answers.
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Suppose a point at (2,3) is translated to (7, -1). What rule describes this translation
Olivia wants to know the proportion of students at her school who use a
certain social media app. She interviews a random sample of students at
her school. She finds that 30% of the students in the sample use the app.
What conclusion can she draw from the sample?
А
It is likely that about 30% of the students at her school use the app.
B Exactly 30% of the students at her school use the app.
Every random sample would find that 30% of the students use
the app
It is likely that 30% of the students at her school were selected for
the sample.
Answer:
A
Step-by-step explanation:
Random sampling is a sampling method where each sample has an equal chance of being chosen. The random sample chosen is meant to be an unbiased representation of the population.
If 30% of the sample uses the app, it means that 30% of the population are likely to use the app
Find the measure of each angle
Answer: x=36°
Step-by-step explanation:
The four interior angles of a quadrilateral always equal 360°, so:
(x+16)+(4x-8)+(4x-8)+x=360
Combine like terms:
360=10x+0
360=10x
36=x
Answer:
In image below
Step-by-step explanation:
20 POINTS! 2 + 4n = 11. What is the answer?
Answer:
I think the answer would be n = 9/4
