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?
Answers
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.
Related Questions
In parallelogram WXYZ, what is CY?
O 11 ft
w
(x + 4)
(2x-7) A
V
o 15 ft
0 21 ft
O 23 ft
Y
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Answers
Answer:
B. 15 Ft
Answered correctly on ingenuity :)
The measure of the value of x is 11
Properties of a parallelogramOne of the properties of a parallelogram is that the diagonals of a parallelogram bisect each other.
Given the diagonals with the sides x + 4 and 2x-7, equating both expresions will give:
x + 4 = 2x - 7
x - 2x = -7 - 4
-x = -11
x = 11
Hene the measure of the value of x is 11
Learn more on parallelogram here: https://brainly.com/question/970600
A line parallel to y=1/3 x+2
Answers
Answer:
y = 1/3x
Step-by-step explanation:
If you use the form y = mx + b, all you need to create a parallel line is to have the same slope. So, we can just disregard b and write an equation with a slope of 1/3. You can add or subtract any number to that if you want.
I’m really hoping I do fail this assignment so can someone please help?
Answers
the answer is 99!
here is an explanation to help you understand:
the angles 81 degrees and b are supplementary angles. Supplementary angles mean that two angles have the sum of 180 degrees so you would need to find the x when you have a given already.
do an equation like this:
x + 81 = 180
here is how to answer the equation:
x + 81 - 81 = 180 - 81
x = 99
Here you only need to subtract 81 from both sides. in simple terms, do 180 minus the measure given.
i hope this helps!! i am doing this lesson right now so i know and if u need more help tell me in comments or message :)
it takes 25 trees to make 10 gallons of maple syrup how many trees would it take to make 100 gallons
Answers
Answer:
250
Step-by-step explanation:
12x+44=180 what is x
Answers
Answer:
11.3, 3 is recurring
Step-by-step explanation:
12x + 44 = 180
12x = 136
x = 11.3, 3 is recurring
hope this helps :)
Plllllllease helpppppp
Answers
Answer:
Step-by-step explanation:
b/c we know that these triangles both have equal sides... that is given that ab and be are the same length. and that be and cd are parallel , we know that they both are isosceles triangles and that the base angles are the same. The side on ad and ae have equal angles.
so we can make the equation
2a +56 = 180 (b/c we know that around a triangle it's 180°
2 a = 124
a = 62
so ∠ BAE = 62°
:)
Evaluate each expression if X equals six 2x = 6
Answers
Answer:
3
Step-by-step explanation:
The dimensions of a box are (x + 3), (3x – 4), and (5x + 1). What is the volume of the box?
Answers
Answer:
it's 15x^3 +28x^2 -55x-12
which is none of them....
Step-by-step explanation:
w÷5+w for w=20
Please help me?!!
Answers
Answer:
24
Step-by-step explanation:
20 divided by 5 = 4
4 +20 = 24
Factor completely x^8-16
Answers
Answer:
(x^2-2)x(x^2+2)x(x^4+4)
Step-by-step explanation:
hope this helps!
Which is logically equivalent to the statement "If Jeff passes math, then he will be happy"?
A. O Jeff passes math and he is happy.
B. If Jeff does not pass math, then he will be happy.
C. If Jeff is not happy, then Jeff did not pass math.
D.If Jeff passes math, then he will not be happy.
Answers
Answer:
a
Step-by-step explanation:
if he passes he will be happy
Answer:C
Step-by-step explanation:
If Jeff did not pass math he would definitely be not happy because he did not pass. Therefore if Jeff passes math he will be happy so that implies if he doesn’t pass math he is not happy
what is the inequality shown
please explain :)
Answers
Answer:
The inequality is 3 > -6
Step-by-step explanation:
on a number line, first draw a circle over the number Then if the sign includes equal to (≥ or ≤), fill in the circle. If the sign does not include equal to (> or <), leave the circle unfilled in. and then take your number that you have filled in and put a > if the line goes to the left and a < if it goes to the right!
Kinda long but i hope this helps! Brainliest plz!
The nth term of a sequence is 8-n
a) Work out the first three terms of the sequence.
b) Work out the value of the first negative term of the sequence.
Answers
Step-by-step explanation:
1st term = 8-1 = 7
2nd term = 8-2 = 6
3rd term = 8-3 = 5
First negative term = 8-(-1) = 9
Help me me me me me me
Answers
Answer:
The answer is C.
Step-by-step explanation:
I hope this helps Have a great day.
50.7 is what percent of 32? Round to the nearest tenth.
Answers
Evaluate the expression. Write the answer in simplest form.
4÷16/17=
Answers
Step-by-step explanation:
Turn 4 into 4/1. Then switch 4/1 or 16/17 because I don't know which to switch. If you don't know what I'm talking about, when you switch 4/1 or 16/17, you'll get 1/4 or 17/16. Then you multiply 1/4 × 16/17 or 4/1 × 17/16. You multiply across, like this, 1 × 16 and 4× 17 Same thing with 4/1 × 17/16 but backwards (4×17 and 1×16). Do both equation (4/1 × 17/16 and 1/4 × 16/17) by yourself, then simplest it. Example: 2/4 = 1/2. You divide 2/4 by two, 2÷2 for the numerator and 4÷2 for the denominator. That how you simply.
which is the equation of a line that passes through the point (8, 2) and is perpendicular to the line y = -1/4x + 2? A y = -1/4x B y= -1/4x + 4 C y = 4x - 30
Answers
Answer: C
Step-by-step explanation:
If a line is perpen to another line, then the other line has the opposite reciprocal of the slope.
y=-(1/4)x+2
slope of the other equation is +4
oly answer with positive slope is C
Chloe swam "n" number of laps to raise money for her school. Friend a donated $20 + $1.25 for every lap Chloe swim friend B donated $15 +2 dollars and 50 Cent for every lap Chloe swim friends she donated $40 +1 dollar and 50 Cent for every lab Chloe sweat friend Dee donated $25 plus $1.75 for every lap Chloe‘s swim
Answers
Answer:
Chloe will earn $100 outright plus $7 dollars for every lap she swims for her school.
Step-by-step explanation:
Solve for p.
7/p = 8/9
Answers
Answer:
Exact Form:
p=63/8
Decimal Form:
p=7.875
Mixed Number Form:
p=7 7/8
Hope this helps :-)
A store that sells skis buys them from a mannufacter at a whole sale price of $57. The stores markup rate is 50%. What price does the store charge its costumers.
Answers
Answer:
$85.50
Step-by-step explanation:
The Wholesale price is $57. Markup is 50% of the wholesale price.
50% of $57 is $28.50. Add $28.50 to the wholesale price of $57 and you get $85.50, which is the cost that the store charges it’s customers.
help will be appreciated its 2 questions btw or u can answer just 1 will give brainliest
Answers
Answer:
1) (-3,-3)
2) 5
Step-by-step explanation:
How many solutions can be found for the equation 4x - 8 - 4x = 9? (4 points)
оа
Zero
Ob
One
Ос
Two
Od
Infinitely many
Answers
Answer:
A. Zero
Step-by-step explanation:
This would have no solution because when you try to solve the equation and simplify, the 4x's cancel out, leaving no variable and making the equation reduce to: -8=9 which is false, and therefore, this has no solution.
I hope this helps!
Eva is picking fruit at a farm. The fees are $5 for entry to the farm, $2.50 per pound of blueberries, and $2 per pound of apples she picks to take home. Let b be the number of pounds of blueberries and a be the number of pounds of apples Eva picked. Which of the following expressions could represent how much Eva pays?
Answers
Answer:
The answer should be 2.5b + 2a + 5 = Answer
Step-by-step explanation:
What are the opposites of 8, −5.6, 2.25, and 9 1 2 ?
Answers
Step-by-step explanation:
Ermm can you explain what you mean by "opposite of"?
Do you mean additive inverse?
.The seventh grade math classes are going on a field trip. The field trip will cost $5 per student. Write an expression to find the cost of the field trip for s students. What is the total cost if 25 students go on the trip?
Answers
Answer:
5 x S = M (S=Students, M = money); 5 x 25 = 100
Write the equation of a line with points (2, -4) and (4, 2) in slope-intercept form
Answers
Answer:
y=3x -10
Step-by-step explanation:
How many pounds of apples would you need to make 20 cups of applesauce?
Answers
Please help I’m BEGGING
Answers
Answer:
Bro math Step-by-step explanation:
1. A right angled triangle has two shorter sides and one is twice as long as the other. The hypotenuse is 25 cm long. What are the lengths of the shorter sides?
Answers
Step-by-step explanation:
The hypotenuse of a right-angled triangle = 25 cm
One side is twice as long as the other.
Let the other side is x.
First side = 2x
Using Pythagoras theorem to find the lengths of the shorter sides.
[tex]x^2+(2x)^2=25^2\\\\x^2+4x^2=625\\\\5x^2=625\\\\x^2=125\\\\x=11.18\ cm[/tex]
So, the other side = 11.18 cm
First side = 2(11.18) = 22.36 cm
So, the lengths of the shorter sides are 11.18 cm and 22.36 cm.
The vegetable garden has 95 ripe plants. The
number of tomatoes is 16 fewer than twice the
number of squashes. How many of each
vegetable are ripe
