Answer:
11 is the median of the entire data set
6 is the median of the lower half and 16 is the median of the upper half data scores...
Subtract 16 from 6 gives 10 so the answer is C) 10
=============================================================
Explanation:
The first step is to sort the data from smallest to largest. Luckily, that's already been done for us.
Next, we find the median. This is the middle most number of the set. In this case, the median is 11 since we have 3 values below it (2,6,7) and 3 values above it (15,16,17).
Let
L = {2,6,7}
U = {15,16,17}
where L and U are the lower and upper sets respectively.
In other words, anything in set L is lower than the median while anything in set U is above the median. The median itself (11) is not part of either set.
Notice how 6 is the midpoint of set L, while 16 is the midpoint of set U.
This means Q1 = 6 and Q3 = 16
Therefore,
IQR = Q3 - Q1
IQR = 16 - 6
IQR = 10
which is why choice C is the final answer.
E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and came up with two best ones o 4.8% simple interest for 2 years o 4.1 % / year compounded semi- annually for 2 years Compare both the plans and find out which is the best to choose
Answer:
Amount she would have in 2 years at a simple interest of is
$5000 + ($5000 x 0.048 x 2) = $5480
Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :
$5000 x ( 1 +0.041/2)^4 = $5422.78
the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose
Step-by-step explanation:
Future value with simple interest = principal + interest
Interest = principal x interest rate x time
0.048 x 5000 x 2 = 480
future value = $480 + 5000 = $5480
The formula for calculating future value with compounding:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78
Anyone please help me
Standard form of a quadratic equation: ax^2 + bx + c = 0
4x^2 - 5x + 10 = 2x
4x^2 - 7x + 10 = 0
Hope this helps!
Could someone help me out?
Answers:
DE = 1.1DF = 1.6BC = 4.8===========================================================
Explanation:
I recommend drawing the two triangles as shown below. The diagram isn't to scale, but all that matters is that we get the general idea down.
Your teacher gave you this info:
angle A = angle E (red angles)angle C = angle F (blue angles)These two pieces of info are enough to prove that triangle ABC is similar to triangle EDF. Use the angle angle (AA) similarity theorem to do this proof. The order of the lettering matters because it helps us see how the letters pair up.
A and E go firstB and D in the middleC and F go lastSince the triangles are similar, the scale factor to go from ABC to EDF is EF/AC = 2/6 = 1/3
In other words, the side lengths of triangle EDF are exactly 1/3 that of the corresponding lengths of ABC. Or we can reverse things to say the sides of ABC are 3 times longer than the sides of EDF.
----------------------
Use this scale factor to help determine the missing length ED.
(ED)/(AB) = scale factor
(ED)/(AB) = 1/3
(ED)/(3.3) = 1/3
ED = (1/3)*(3.3)
ED = 1.1
Note how ED/AB = (1.1)/(3.3) = 11/33 = 1/3
----------------------
While we don't know how long sides BC or DF are, we are told that DF is 3.2 units shorter compared to BC.
This means
DF = BC - 3.2
DF = x - 3.2
Then we can say,
(DF)/(BC) = scale factor
(x-3.2)/(x) = 1/3
3(x - 3.2) = x*1
3x - 9.6 = x
3x - x = 9.6
2x = 9.6
x = (9.6)/2
x = 4.8
So BC is x = 4.8 units long and DF is x-3.2 = 4.8-3.2 = 1.6 units long
The sides of an equilateral triangle measure 0.2(10x+90)cm each. If the perimeter of the triangle is 612.6 cm, what is the side length?
Write the equation to solve the problem.
Solve for x
Find the side of the triangle
Answer:
204.2 cm
Step-by-step explanation:
equilateral means all sides are of equal length.
the perimeter of such a triangle is simply 3 times one of these sides.
so,
612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54
6x = 558.6
x = 93.1
so, a single side is
0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm
to check
3×204.2 = 612.6 = the original perimeter.
so, correct.
y' = (x+1/[tex]\sqrt{x^{2} +1[/tex]
Answer:
Solving for x (rearranging) you get:
(x^3+x+(x^2+1)^1/2)/x^2+1=y
Step-by-step explanation:
Solve for x by simplifying both sides of the equation and solving for y by isolating y
Translate the sentence into an equation.
Three more than the quotient of a number and 6 is equal to 5.
Use the variable b for the unknown number.
Answer:
3 + b/6 = 5
solve it too?
b/6 = 2
b = 12
Answer:
is it like
3x+6=5
to solve this
3x+6=5
collect like terms
3x= -6+5
3x= -1
divide both side by 3
3x/3=-1/3
x= -0.3
Divide $128 in the ratio 2:3:7
Answer:
21.33: 32: 74.67
Step-by-step explanation:
2:3:7
The total is 2+3+7 = 12
Divide 128 by 12
128/12 = 32/3
Multiply each number by 32/2
2*32/3 : 3*32/3 :7*32/3
64/3 : 32 : 224/3
Rounding to the nearest cent
21.33: 32: 74.67
Does this graph show a function? Explain how you know.
Answer:
yes because the graph passes the vertical line test
DOES A TRANSLATION PRESERVE ITS LENGTH, SHAPE, SIZE, AND ORIENTATION? EXPLAIN.
Step-by-step explanation:
Yes. A translations preserve it's. length, shape,size and orientation. WHY?
, A translation is a rigid transformation so it preserve it physical features of the shape( both pre image and current image).A translation can be used to show if two figures are congruent so it preserve it shape.Simplify for me please
A spinner numbered 1 to 6 is spun ten times, giving the results : 2, 5, 3, 5, 1, 2, 3, 3, 4, 6. The experimental probability of getting a 2 is:
Answer:
1 / 5
Step-by-step explanation:
Given the outcome of number cube spin : 2, 5, 3, 5, 1, 2, 3, 3, 4, 6
The experimental probability of an event, A is given as :
P(A) = number of times A occurs / total number of trials
Therefore, the experimental probability of getting 2 ;
P(getting 2) = Number of times 2 occurs / total number of trials
P(getting 2) = 2 / 10 = 1/5
Find two fractions, when multiplied together make 3/4
Answer:
3/1 times 1/4, 3/2 times 1/2, 9/8 times 2/3
Answer:
1/2 & 3/2
Step-by-step explanation:
1/2 X 3/2 = 3/4
To get this answer, you need to think of two numbers which we can multiply to get 3 and two numbers which we can multiply to get 4.
Answer from Gauthmath
If 2 fligs make a flog and 3 flogs make a flug, how many fligs in 12 flugs?
Answer:
There are 72 fligs in 12 flugs
Suppose that a sales person observes that if an item is priced at $9 per item then 6 items are sold. If 4 items are sold for $11 per item then find a linear equation to model the number y of items sold for x dollars per item. Find the slope-intercept form of the equation of the line.
Answer:
y = -x + 15
Step-by-step explanation:
if an item is priced at $9 per item then 6 items are sold.
Thus, the input is 9 while the output is 6.
Thus, we can say; x, y = (9, 6)
4 items are sold for $11 per item. Thus, the coordinate is; (11, 4)
Now,slope is;
m = (y2 - y1)/(x2 - x1)
m = (4 - 6)/(11 - 9)
m = -2/2
m = -1
We know that slope intercept form is;
y = mx + c
Let's try the first point.
Thus;
6 = -1(9) + c
6 + 9 = c
c = 15
Thus, equation of line is;
y = -x + 15
Find the interior angle sum for the following polygon
Answer:
360/ 5 is the answer
Step-by-step explanation:
follow me and please follow me
What is the value of the expression 53.5-5? please explain
Answer:
48.5
Step-by-step explanation:
53.5
- 5.0
48.5
5 tenths - 0 tenths = 5 tenths (.5)
3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)
the 5 in the tens position becomes a four because one got "borrowed"
4 - 0 = 4 (4)
48.5 is the result
helpppp: write the rule that describes the composition of transformations
Please help !!!!!!!!!!!
Answer:
98°+62°+6x = 180
160+6x = 180
6x = 180 - 160
6x = 20
x= 20/6
x= 3.33
therefor your answer is 3.33
Write an inequality and show on a number line all numbers:
less than 4 but greater than or equal to 0
Answer:
the inequality is 0<x<4
Step-by-step explanation:
(0,4)
What is the range of the function$$f(x) = \frac{1}{1-x}~?$$Express your answer in interval notation.
I think you tried copy pasting the thing in here. usually written equations on tests or whatever don't copy paste well
Help needed ASAP rocky!
Answer:
C. {x | x < [tex]\frac{10}{7}[/tex]}
Step-by-step explanation:
x must be less than 10/7
I hope this helps!
I NEEDDDD HELPPPP ITSSSS URGENTTTT!!!!!
Answer: 75.4
Step-by-step explanation:
The equation for the circumference for a circle is diameter times pi. 24 times pi is 75.3982236862. Rounded to the nearest tenth would make it 75.4.
I don't understand this one
Answer:
9/8 = n
Step-by-step explanation:
9 = 8n
Divide each side by 8
9/8 = 8n/8
9/8 = n
Help me with this anyone
Answer:
1/4
Step-by-step explanation:
b+-sqrt b^2-4ac all over 2a
NEED HELP! What is the equation of the axis of symmetry?
A) x=-4
B) x=4
C) y=4
D) y= -4
1+1+5+8+6+45+6+4+34+423
Answer:
answer is 533 because we add all the no.
solve the equation: q²+2q-8=0
Answer:
q = -4 q=2
Step-by-step explanation:
q²+2q-8=0
Factor
What 2 numbers multiply to -8 and add to 2
4*-2 = -8
4-2 = 2
(q+4)(q-2) =0
Using the zero product property
q+4 = 0 q-2 =0
q = -4 q=2
HELP ME PLS ITS URGENT
Answer: -3 (option D) is the answer.
(-8)-(-5)= -8+5 = -3
Rotate the vector 3,-2 90 degrees clockwise about the origin.
Answer:
-2,-3
Step-by-step explanation:
Answer:
-2 -3
It worked for me on acellus
Step-by-step explanation:
Which equation is in slope-y-intercept form?
Question 1 options:
a) 3x + 4y = 7
b) x = 4y - 2
c) y = 3x -1
d) x + 4y -2
Answer:
C = y - 3x-1
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
C = y - 3x-1 is in slope intercept form
The answer is A.
I took the test.
