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How I got that answer:
The interval 0 < t < 30 has the midpoint of 15 since (0+30)/2 = 15
The interval 30 < t < 60 has the midpoint 45 because (30+60)/2 = 45
We add up the endpoints and then divide by 2 to get the midpoint.
Repeat this for each of the intervals mentioned.
From top to bottom, the midpoints are:
154575105Notice we add 30 to each midpoint to get the next one. This is directly due to the fact that each interval is 30 units wide (eg: 90-60 = 30).
Multiply each midpoint by the corresponding frequency for a given row.
15*7 = 10545*27 = 121575*12 = 900105*4 = 420Then add up those products.
105+1215+900+420 = 2640
Lastly, we divide this over the sum of the frequencies 7+27+12+4 = 50 to get 2640/50 = 52.8
The average time spent on homework is estimated to be about 52.8 minutes
Note that the majority of the the students (27) are in the 30 < t < 60 interval, so the mean of 52.8 fits this interval perfectly. It's closer to the right endpoint of the interval due to the fact the other 12+4 = 16 students are above this, and they make up the second most majority compared to the 27.
The reason why 52.8 is an estimate rather than the actual mean is because we are estimating each interval by picking out the midpoint each time. The midpoint is at the direct center, so it's the best guess we can do.
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step number 3 is incorrecct
Step-by-step explanation:
It should be 16+12 because when you multiply (4)(3)(-1), which would equal -12, you need to sbutract -12 from 16, which is just adding 12 to 16 since two negatives make a positive.
2. The value of C when y= 2x+C is tangent to the parabola y²=8x is: (a)-1 (b) 1 (c) 2 (d)-2
Answer:
B. The value of C is 1
Step-by-step explanation:
Given:
[tex]\displaystyle \large{y=2x+C}\\\displaystyle \large{y^2=8x}[/tex]
y = 2x + C is a tangent to parabola y² = 8xTo find:
value of CA line being a tangent to curve means both equations are equal but there has to be only one interception between both graphs.
Therefore, substitute y = 2x+C in y² = 8x:
[tex]\displaystyle \large{(2x+C)^2 =8x}[/tex]
Expand the expression (2x+C)² using perfect square:
[tex]\displaystyle \large{4x^2+4xC+C^2=8x}[/tex]
Simplify the equation:
[tex]\displaystyle \large{4x^2+4xC-8x+C^2=0}\\\displaystyle \large{4x^2+(4C-8)x+C^2=0}[/tex]
The discriminant says:
If b²-4ac > 0 then there are two real rootsIf b²-4ac = 0 then there is only one real rootIf b²-4ac < 0 then the are no real rootsFor this, we choose b²-4ac = 0 since tangents only have one intersection.
[tex]\displaystyle \large{b^2-4ac = (4C-8)^2-4(4)C^2 = 0}\\\displaystyle \large{16C^2-64C+64-16C^2=0}\\\displaystyle \large{-64C+64=0}[/tex]
Solve the equation for C:
[tex]\displaystyle \large{-64C=-64}\\\displaystyle \large{C=1}[/tex]
Therefore, the value of C is 1
Solve for a side in right triangles. Make sure to round your answer to the nearest hundredth
Answer:
tan(20) = 4 / x
tan(20)x = 4
x = 4 / tan(20)
x = 10.99 units
Step-by-step explanation:
What is the answer for 2/3 + 1/4?
Hey there!
2/3 + 1/4
= 2×4/3×4 + 1×3/4×3
= 8/12 + 3/12
= 8 + 3/12 - 0
= 11/12
Therefore, your answer is: 11/12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]\frac{11}{12}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} +\frac{1}{4}[/tex]
First, find the lowest common denominator (LCD):
3*4=12
Next, convert the fractions to a base of 12.
[tex]\frac{2}{3} * \frac{4}{4} = \frac{8}{12}[/tex]
[tex]\frac{1}{4} * \frac{3}{3} = \frac{3}{12}[/tex]
Then, add our fractions with the same base (12):
[tex]\frac{8}{12} + \frac{3}{12} = \frac{11}{12}[/tex]
|x+20| if x<-20
write the equation without the absolute value signs
The difference between two consecutive cube numbers is always odd or even?
Answer:
odd
Step-by-step explanation:
take example of 2^3 +3^3 it's odd
now others try yourself
I need help it's due tomorrow!!!!
Answer:
56
Step-by-step explanation:
All You Need To Do Is Count intill You Reach That Point
if X varies inversely as the cube root of y and X=1 when y=8. find y when X =3
Answer:
The work is straight forward once you know the formular
What is 34.48 rounded to the
nearest whole number?
34.48
to find:34.48 rounded to the nearest whole number.
solution:= 34
( if the first digit after the decimal point is 5 or more we'll have to round off, if not just keep it as it is. )
What is the square root of a number if it is in ratio form
The square root of 25 is 5. It is the positive solution of the equation x2 = 25. The number 25 is a perfect square.
...
Square Root of 25 in radical form: √25.
Jessica is thinking of a number that rounds to 1,400 for the nearest ten and for the nearest
hundred. What number might she be thinking of?
Answer:
1,398
Step-by-step explanation:
i think this is it cause this is very close. Have a nice day.
Here are the test scores for 15 students in Mr. M's class.
96, 85, 59, 63, 76, 68, 94, 97, 89, 100, 93, 96, 72, 46, 78
What is the percentage of these test scores that are less than 90?
Answer:
60%
Step-by-step explanation:
If you look through the data, it is clear that 46, 59, 63, 68, 72, 76, 78, 85, and 89 are all less than 90. There are 9 elements total that are less than 90.
For percentages, you take the number you have and divide by the total. Since we know that there are 15 students, we can do 9 / 15. This gives us 0.6 which is 60%
6) Kate wants to buy some daisies for $6.99, some potting soil for $3.98, and a ceramic pot for $7.95. She has $20.00. Which number sentence represents the amount of change Kate receives back?
By taking a subtraction, we will see that the change that Kate receives is $1.08
How to get the change?The change will be given by the difference between what Kate has, and the cost of all the items she buys.
She has $20.00, and the costs are: $6.99, $3.98, and $7.95.
Then the change will be:
C = $20.00 - $6.99 - $3.98 - $7.95 = $1.08
We conclude that the change is $1.08
If you want to learn more about subtractions, you can read:
https://brainly.com/question/2475734
what is this its to hard :|
Answer:
25
Step-by-step explanation:
We take both medians and subtract.
53-28=25
POSSIBLE
Paytin has silk ribbon that is 2 inches wide. She plans to sew the ribbon around the edge of a circular tablecloth that has a 25-inch radius.
How much silk ribbon does she need?
inches of ribbon.
1
2
Answer:
78.5 or 79 inches when rounded.
Step-by-step explanation:
2 in wide so get half of 2 which is 1 times 3.14 = 3.14. then times that by the 25 inch radius = 78.5
Watch help vide
Anna took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $3 plus $2.25 per mile. The total fare was $48, not including the tip. How many
miles was the taxi ride?
Anna has traveled 20 miles in the taxi.
What is equation?An equation is a relationship between the variables and constants representing how they are related to each other. It includes equal to "=" sign.
The total amount paid is $48. So, the right side of the equation will be 48.
The cost of 1 mile is $2.25 so, the cost of x miles will be 2.25x.
Determine the total cost in terms of x.
Total cost = Fixed Cost+ Variable cost
= 3+2.25x
Determine the equation and solve it.
3+2.25x=48
2.25x=45
x=20
Thus, the taxi has traveled 20 miles.
To learn more about equations click:
https://brainly.com/question/649785
#SPJ2
Really need help anybody!?!
Answer:
it's got to be 3........
Is 10, 20, 40, 80... an arithmetic sequence?
Answer:
No.
Step-by-step explanation:
A arithmetic sequence is a sequence of numbers that go up by the same value each time. We can clearly see that this set of numbers does not go up by the same value each time, therefore ruling it out as an arithmetic sequence. This sequence is a geometric sequence in case you're wondering.
help me please i need help
Answer:
1/10
3
Step-by-step explanation:
probability of getting a 7 = 1 in 10 =1/10
if the total frequency of spins N= 30
then the expected number of occurrences =N×p=30×(1/10)=3
Answer: a) 1/10
b) 3
Step-by-step explanation:
a) 7 is one number on the spinner meaning that out of 10 possibilities 7 is only one of them which give you 1/10.
b) If she spins it 30 more times this would give you the fraction of 3/30 since it relates to the first fraction.
solve for x ~
[tex]x {}^{2} - 16x = 0[/tex]
thankyou ~
Step-by-step explanation:
Mark me brainliest please[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \tt \dashrightarrow \: {x}^{2} - 16x = 0[/tex]
[tex]\qquad \tt \dashrightarrow \: x(x - 16) = 0[/tex]
Now, there are two possibilities ~
[tex]\qquad \tt \dashrightarrow \:x = 0[/tex]
or
[tex]\qquad \tt \dashrightarrow \:x - 16 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 16[/tex]
PLEASE HELP ASAP!!!!!!!!
Answer:
Minimum = 1
Maximum = 16
Median = 8
First Quartile = 3
Third Quartile = 15
Inter Quartiler Range = 12
Step-by-step explanation:
Looking at the image you provided and the points are given.
A regular hexagon has an area of approximately
20 square centimeters. If the apothem measures
2.4 centimeters, find the approximate length of
each side.
Answer:
The side is approx 2.78cm
Step-by-step explanation:
There is an area formula for regular polygons that uses the apothem:
A = 1/2•a•s•n
a is the apothem.
s is the side length.
n is the number of sides.
The area, A is given and also the apothem is given, as well as the number of sides.
The shape in your problem is a hexagon, so it has 6 sides.
A = 1/2 asn
20 = 1/2(2.4)s(6)
Multiply.
20 = 7.2s
Divide.
20/7.2 = s
2.78 = s
s = 2.78
|x-20| if x<-20
I need help with the opposite equation
Evaluate the expression for the given values.
(a) The expression 5p − 7d evaluated for p = 8 and d = 1/7
(b) The expression 5p − 7d evaluated for p = 3 and d = −6
(a) The expression 5p−7d evaluated for p=8 and d= 1/7 is______ .
Part 2 Of Question
b) The expression 5p − 7d evaluated for p = 3 and d = −6 is ______
Answer:
a is 39
b is 57
Step-by-step explanation:
you were given two different expressions to substitute.
the first one is p = 8 and d = 1/7
so we substitute into 5p - 7d
that is 5(8) - 7(1/7)
we get 40 - 1
which if we go ahead to evaluate we get 39
The second one p = 3 and d = -6
so we get 5(3) - 7(-6)
we get 15 - (-42)
if we go ahead to evaluate we get 15 + 42
two negative meeting each other gives you positive.
then it going too be 57
Tina ordered a replacement part for her desk. It was shipped in a box that measures 2 in. by 2 in. by 11 in. What is the greatest length in whole inches that the part could have been?
Answer:
15 inches
Step-by-step explanation:
The space diagonal of a rectangular prism is the root of the sum of the squares of the edge lengths. The longest straight part that will fit in the box will be at most ...
l = √(4² +4² +14²) = √228 ≈ 15.10 . . . . inches
If im wrong just tell me im sorry if it is
Ally~
[-32] <,>,= [15] what is the answer
Answer:
-32 < 15
Step-by-step explanation:
Whenever in the negatives, it's always less than zero. Because 15 is positive, it would be greater than -32.
Which compound inequality can be represented by the graph below?
x < 5 or x ≥ 9
5 ≤ x < 9
x ≤ 5 or x > 9
5 < x ≤ 9
Answer:
5 < x ≤ 9
Step-by-step explanation:
solve
-2(x + 2)(x - 1)
Answer:
-2x^2 -2x + 4
Step-by-step explanation:
Distributive prop.
(-2x-4)(x-1)
-2x^2 + 2x - 4x + 4
-2x^2 -2x + 4
50 points each question. Please help. How do I solve?
[tex]~~~~~7e^{xy} +2x^2 -4y^2 =13\\\\\\\implies \dfrac{d}{dx}\left(7e^{xy} +2x^2 -4y^2\right) =\dfrac d{dx} (13)\\\\\\\implies 7\left[e^{xy} \dfrac{d}{dx} ( xy)\right] +2 \cdot 2x -4\cdot 2y \dfrac{dy}{dx} = 0\\\\\\\implies 7e^{xy} \left( x \dfrac{dy}{dx} +y\right) +4x -8y \dfrac{dy}{dx} =0\\\\\\\implies 7xe^{xy}\dfrac{dy}{dx} + 7ye^{xy} +4x -8y\dfrac{dy}{dx} = 0\\\\\\\implies \left(7xe^{xy} -8y \right) \dfrac{dy}{dx}=-7ye^{xy} -4x\\\\\\[/tex]
[tex]\implies \dfrac{dy}{dx} = \dfrac{-7ye^{xy} -4x}{7xe^{xy} -8y }[/tex]
The prism below is made of cubes which measure 1/2 of an inch on one side. What is the volume?
Note: Figure is not drawn to scale.
OA. 15/2 cubic in
OB. 6 cubic in
OC. 30 cubic in
OD. 60 cubic in
the answer is B. 6 cubic in