The table shows the time it took a group of students to complete a puzzle.
Time (t) in minutes
Frequency
5
2
10
9
15
20
WOO
25
a) Work out an estimate for the mean time it took the students.
Round your answer to 2 significant figures.
b) What fraction of the students finished in less than 20 minutes?
Answer:
a) The mean time it took the students, t ≈ 17.08 minutes
b) The fraction of the students that finished under 20 minutes is 2/3 of the students
Step-by-step explanation:
a) The mean of the frequency of grouped data is given as follows;
The given data arranged in tabular form is presented as follows;
[tex]\begin{array}{cccc}Time \, (t) \, in \, minutes & Midpoint, m & Frequency, f & Product \ m \cdot f \\5\leq t < 10 & 7.5 & 2 & 15 \\10\leq t < 15 & 12.5 & 9 & 112.5\\15\leq t < 20 & 17.5 & 5 & 87.5 \\20\leq t < 25 & 22.5 & 5 & 112.5 \\25 \leq t < 30 & 27.5 & 3 & 82.5 \\Sum & 87.5 & N = 24 & \Sigma (m\cdot f) = 410 \end{array}[/tex]
Therefore, the mean time it took the students = ∑(f·m)/N = 410/24 = [tex]17\frac{1}{12}[/tex]
The mean time it took the students, t ≈ 17.08 minutes
b) The number of the students that finished under 20 minutes = 2 + 9 + 5 = 16 students
The fraction of the students that finished under 20 minutes = 16/24 of the = 2/3 of the students.
The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers. a) set up the variables Let _______ represent the first number Then _______ will represent the second number. b) What is the equation that represents the above situation? c) Solve the equation.
Answer:
34 and 17Step-by-step explanation:
a) set up the variables
Let x represent the first number Then y will represent the second number.
b) What is the equation that represents the above situation?
x = 2yx + y = 51c) Solve the equation.
Substitute x in the second equation and solve for y:
x + y = 512y + y = 513y = 51y = 51/3y = 17Then find x
x = 2y = 2*17 = 34Answer:
[tex]\tt{34~and ~17 }[/tex]
Step-by-step explanation:
let the first number is =x
second number is =y
The sum of two numbers is 51 =x+y=51•••{1}
the greater number is twice the smaller number= x=2y••••••••{2}
According to the question,
[tex]\bold{ x+y=51 }[/tex]
[tex]\bold{2y+y=51 }[/tex] [tex]\because{ (x=2y ) }[/tex]
[tex]\bold{ 3y=51 }[/tex]
[tex]\bold{ y=\dfrac{51}{3} }[/tex]
[tex]\boxed{\blue{y=17 } }[/tex]
NOW put the value y in equation {2}
we get that,
[tex]\bold{ x=2×17 }[/tex]
[tex]\bold{ x=34 }[/tex]
I NEED HELP ASAP
What is the slope-intercept equation?
A). y= -8x - 3
B). y= -5/4x + 8
C). y= 4/5x - 8
D). y= -4/5x + 8
Answer:
C. y=4/5x + 8 is the answer
Answer:
The answer is D: y= -4/5x + 8
725% work in an organisation 52% of employees or post graduate and the remaining are not post graduate find the number of employees were not post graduate
Answer: 348
Step-by-step explanation:
Given : Total employees work = 725
Proportion of employees are post graduate = 52%
Proportion of employees are not post graduate = 100%-52% = 48%
The number of employees were not post graduate = 48% of 725
= 0.48 x 725
= 348
Hence, the number of employees were not post graduate = 348
What is a irrational and rational number?
Answer: pi and e are irrational whereas 3/9 repeats like 420/1001 but are rationalized into the fractions above ratio is a fraction
Step-by-step explanation:
Please help
Regroup and write your answer in simplest form
What is the slope of the line that passes through the points (5, -10) and (-3,-10)? Write your answer in simplest form.
Answer:
From Calculating, the slope would be 0.
Step-by-step explanation:
This is because of the fact that the two points create a straight line across the x-axis. The points do not have any distance up or down, the only distance is 8 units across. The slope would be 0 because there isn't a slope, only a distance. Hope this helps.
n element with mass 570 grams decays by 18% per minute. How much of the element is remaining after 13 minutes, to the nearest 10th of a gram?
Answer:
Step-by-step explanation:
Exponential Functions:
y=ab^x
a=starting value=570
r=rate=18%=0.18
Exponential Decay:
b = 1 - r = 1 - 0.18 = 0.82
Write Exponential Function: put it all together
y=570(0.82)^13
Plug in time for x:
y=570(0.82)^13
y=43.197134 evaluate
ANSWER: y≈43.2 round
6 + 6(x + 4) + 15y + x
Answer:
7x + 15y + 30
Step-by-step explanation:
6 + 6x + 24 + 15y + x
= 7x + 15y + 30
If f(x) = 2x + 3, what is f(-2)?
Answer:
7
Step-by-step explanation:
Answer:
no answer
Step-by-step explanation:
2(-2)+3=-2
simplify
-4+3=-2
simplify
-1=-2
No answer
If there's something along the lines of no answer and it's multiple choice click that.
please solve this
20×10=
Answer:
20 × 10 = 200
Step-by-step explanation:
Multiply 2 × 1 = 2 and then add the two zeros onto the end to get 200.
What is the sum of 8 yards and 5 feet?
10 yards
13 yards
21 feet
29 feet
Casi drove 135 miles in 3 hours. Use a proportion to find how long it would take her to drive 360 miles at the same speed.
Answer:
8 hours
Step-by-step explanation:
We are given that
Casi traveled distance in 3 hours=135 miles
We have to find the time taken by Casi to drive 360 miles at the same speed using proportion .
Let time taken by Casi to drive 360 miles=x
We know that
Speed=[tex]\frac{Distance}{time}[/tex]
Using proportion
[tex]\frac{a}{b}=\frac{c}{d}[/tex]
[tex]\frac{135}{3}=\frac{36}{x}[/tex]
[tex]x=\frac{360\times 3}{135}[/tex]
[tex]x=8[/tex]
Hence, the time taken by Casi to drive 360 miles=8 hours
Can someone answer this please
3. Michael says he can move ABCDE onto A"B"C"D"E" with one transformation by translating ABCDE diagonally so that it moves 8 units up and 10 units right. Is he correct? Explain why or why not.
Answer:
Yes, he is correct
Step-by-step explanation:
if you translate each letter ABCDE to A"B"C"D"E" exactly how he stated it turns out right. For example, C just go 8 squares up and then 10 to the right and do the same for the rest.
Answer:
Michael is incorrect; The shape would have to be flipped at some point, seeing as point B on ADCDE is on the bottom of the shape, whereas point B" on A"B"C"D"E" is on the top of the shape.
Hope this helps, have a nice day!
Step-by-step explanation:
Wait a sec... I'm Michael, so am I right or am I wrong...? (Big confuse)
answer and explanation.
Answer:
A:Write an expression for Polly's age
Answer:
a)
[tex]4x[/tex]
b)
[tex]4x + x = t[/tex]
c)
[tex]4x + x = t \\ 4(11) + 11 = t \\ 44 + 11 = t \\ 55 = t \\ t = 55[/tex]
d)
[tex]4x + x = 40 \\ 5x = 40 \\ x = \frac{40}{5} \\ x = 8[/tex]
John wrote that 5+5=10. Then he wrote that 5+5+n=10+n. Are the equations John wrote equivalent? Explain (in your solution justify by stating what property of equality he used).
Answer:
They are equivalent
Step-by-step explanation:
n would equal the same, and 10 and 5+5 equal the same. Therefore, whatever n is, they will be equal no matter what. Unless you subtract the n from one side and add on the other.
Answer:
Step-by-step explanation:
yesh
Hello !!!!!!Please help me ASAP
Answer:
A
Step-by-step explanation:
I hope this helped you out
There are 161600 drivers in uk over 75 years off age
please simplify 5(x-1)
Answer:
5x-5
Step-by-step explanation:
Just use distribuative property
Use the work shown to find the image of point W(−5, −3) after a 180° clockwise rotation.
(x, y) → (−x, −y)
Multiply the x-coordinate by −1: (−5)(−1) = 5
Multiply the y-coordinate by −1: (−3)(−1) = 3
Simplify.
What is the coordinate of the image point W’?
W’(–5, –3)
W’(–5, 3)
W’(5, –3)
W’(5, 3)
Answer:
W’(5, 3)
Step-by-step explanation:
edg its d
Answer:
the correct answer is d
Step-by-step explanation:
A train left a station at 8:13 a.m. arriving at its destination at 4:52 p.m. If the stations are 527.65 miles apart, calculate the average
speed at which the train traveled.
A. 71 miles/hour
B. 69 miles/hour
C. 51 miles/hour
D. 61 miles/hour
9514 1404 393
Answer:
D. 61 mi/h
Step-by-step explanation:
The travel time is 16:52 -8:13 = 8:39 hours, or 8.65 hours. Then the speed is ...
speed = distance/time = 527.65 mi/(8.65 h) = 61 mi/h
_____
Additional comment
It is often convenient to use "military" or "24-hour" time for calculations of time periods that extend over noon or midnight. For this purpose, 12 gets added to the hour number in the afternoon (pm). Of course, 39 minutes is 39/60 hours. That is found to be 0.65 hours by performing the division of 39 by 60.
plz help i will give brainliest!
Triangle MNP is graphed on a coordinate grid with vertices at M(12, -6), N(3, 3) and P(-6,12). Triangle MNP is dilated by a scale factor of q with the origin as the center of dilation to create triangle M’N’P’. Which ordered pair represents the coordinates of the vertex P’?
A. (12 − q, -6 – q)
B. (-6q, 12q)
C. (3q, 3q)
D. (12q, -6q)
9514 1404 393
Answer:
B. (-6q, 12q)
Step-by-step explanation:
The dilation factor (q) multiplies each of the coordinates:
(x, y) ⇒ (qx, qy)
P(-6, 12) ⇒ P'(-6q, 12q)
Can you Find the value of x I don’t know the answer
Answer:
x = 5
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
x+4−3x=3x−6−3x
−2x+4=−6
Step 2: Subtract 4 from both sides.
−2x+4−4=−6−4
−2x=−10
Step 3: Divide both sides by -2.
−2x /−2 = −10 /−2
x = 5
Solve the system using substitution. Put in point form.
2x - 7y = 13
3x + y = 8
are they being multiplied or added or subtracted?
Answer:
(3, -1)
Step-by-step explanation:
3x +y = 8
-3x =-3x
Y=-3x +8 Substitute into 1st equation y=-3x+8
2x-7(8-3x+8)= 13 -3(3) + 8
2x-56+21x= 13 -9 +8
23x-56 =13 y = -1
+56= +56
23x = 69
23 23
x = 3
solution (3, -1)
what is the solution of -3 =x +5 ?
-3 = x + 5
Solve for x by subtracting 5 from both sides:
X = -8
Answer:
-8
Step-by-step explanation:
;)
Round to the nearest whole percent if necessary. Is the percent of change an increase or decrease? 100 to 150
Answer: 50% increase
Step-by-step explanation:
Use synthetic division to solve
x3- x2 - 17x-15)+(x-5). What is the quotient?
x2 + 4x + 3
x² - 6x + 13 - 180
x3+4x2+3x x2 - 6x+13-80
X+ 5
Answer:
x² + 4x + 3
Step-by-step explanation:
Dividing by (x - 5) then use h = 5 as divisor
5 | 1 - 1 - 17 - 15
↓ 5 20 15
-------------------------------
1 4 3 0 ← remainder = 0
quotient = x² + 4x + 3
[tex]x^{2} +4x+3[/tex] is the quotient when [tex]x^{3} - x^{2} -17x-15[/tex] is solved using synthetic division.
What is synthetic division?Synthetic division is a simplified method for dividing a polynomial by another polynomial of the first degree by writing down only the coefficients of the several powers of the variable and changing the sign of the constant term in the divisor so as to replace the usual subtractions by additions.
Synthetic division of the given question-
5 | 1 -1 -17 -15
5 20 15
---------------------------------------------
1 4 3 |0|
Remainder = 0
Quotient = [tex]x^{2} + 4x+3[/tex]
Learn more about synthetic division here
https://brainly.com/question/11850611
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4 movie tickets cost $48 how much does it cost for one movie ticket and how much does it cost for a five movie tickets?
Answer:
one movie ticket is 12$ and 5 is 60$
Step-by-step explanation:
divide 48 by 4 = 12 then to find how much it is per ticket multiply 4*12 = 48
5x(12-4)+3=
Can someone please help me with this