Hey there! I'm happy to help!
First, we arrange the numbers from least to greatest.
26,29,31,31,32,37,43
The median here is 31 because it is the middle number. The three numbers before it is one half of it and the last 3 numbers are their own half, because you cannot split the 31 between the two halves.
Now, we want to find the first quartile. This is basically the media of the first half of numbers. So, our first half consists of 26,29, and 31.
The middle number of this first half is 29.
So, our Q1 (first quartile) is 29.
Now, for the third quartile. We do the exact same thing here but with the second half.
32,37,43
Looking at this, our Q3 is 37
The interquartile range is how far apart Q1 and Q3 are, so to find it, we subtract our Q1 from the Q3.
37-29=48
Therefore, our IQR is 8.
Congratulations! Now you can find the IQR of a data set! Have a wonderful day! :D
Answer:
8
Step-by-step explanation:
You first put the numbers in order. Then you find the median(in this case, 31) and after that you find the Q1 and Q3(think of Q1 as the median of the lower half and Q3 as the mdian of the upper half.) Subtract Q1 from Q3, in this case, 37-29=8. 8 is the IQR or the interquratile range.
Given: Circle k (O), OA and OC -radii, AP and CP - tangents, m∠AOC=150° Find: m∠APC
Answer:
m∠APC = 30°
Step-by-step explanation:
To solve for the above question, we would be making use of circle theorems
Looking at the circle, we can see that
m∠APC is an Angle outside the circle
m∠AOC is a smaller arc in the circle.
Therefore, Circle Theorem states that for a circle with two tangents,
The Angle outside the circle + The smaller arc = 180°
Hence,
m∠AOC + m∠APC = 180°
m∠APC = 180° - m∠AOC
m∠APC = 180° - 150°
m∠APC = 30°
Sam purchased 3 1/4 pounds of cheese. He used half of the purchased cheese for a casserole and 1/4 pound for sandwiches. Express as a mixed number the number of the number of pounds of cheese he has left.
Answer:
1 3/8 lbs.
Step-by-step explanation:
3 1/4 x 1/2 = 1 5/8
1 5/8-1/4=
1 5/8-2/8=
1 3/8
The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
The answer is "101.37 yd"
Step-by-step explanation:
In the given question an attachment file is missing. so, we attached the file and calculates its value:
Use formula:
[tex]c^2 = a^2 + b^2 - 2\times a \times b\times \cos C[/tex]
In the above-given equation we assume c is the third side:
[tex]c^2 = 305^2 + 255^2 - 2*305*255*cos17\\c^2= 93,025+65,025-155,550(0.95)\\c^2= 158,050-147,772.5\\c^2= 10,277.5[/tex]
c = 101.37 yd
Which expression is equivalent to *picture attached*
Answer:
[tex]\frac{35(1 + 35)}{2}[/tex]
Step-by-step explanation:
Given:
The attached
Required
Find the equivalent expression
The interpretation of is to add the sequence:
n = 1,2,3,......35
This can be done using the following formula (Sum of n terms of an AP)
[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]
Where n is the number of terms from 1 to 35; [tex]n = 35[/tex]
T1 is the first term; [tex]T_1 = 1[/tex]
Tn is the last term; [tex]T_n = 35[/tex]
[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex] becomes
[tex]S_n = \frac{35}{2}(1 + 35)[/tex]
[tex]S_n = \frac{35(1 + 35)}{2}[/tex]
From the list of given options;
Option A is correct
[tex]\frac{35(1 + 35)}{2}[/tex]
Five test scores have a mean (average score) of 90, a median (middle score) of 91 and a mode (most frequent score) of 94. Find the sum of the two lowest test scores.
Answer:
171
Step-by-step explanation:
If five test scores have a mean of 90, then the total 5x90=450. We already have the middle score (91) and the two top scores (94 and 94). So the equation is 450-91-94-94=171
Please help with step by step. Thank you.
Answer:
A) 90 degrees
B) 110 degrees
C) 78.5 in. sq.
D) 15.3 in. sq.
Step-by-step explanation:
A) 90 degrees by the two-tangent theorem
B) 360-90-90-70=110
C) A=pi r-squared
A=3.14x5x5
A=78.5
D) 70/360=0.1944
78.5x0.1944=15.3
Which equation represents the vertical asymptote of the graph? a curve asymptotic to y equals 0 from negative x to negative y near x equals 12. A curve asymptotic to y equals 0 from positive x to positive y near x equals 12. x = 0 y = 0 x = 12 y = 12
Answer:
The correct option is x = 12
Step-by-step explanation:
An asymptote of a function is a line to to which the function converges to as it tends to infinity such that the function gets infinitesimally close to its asymptote but the function will not reach or cross its asymptote. That is the separating distance between the function and the asymptote tends to zero as either the x or y coordinates, or both the x and y coordinates tend to infinity.
A vertical aymptote, is one parallel to the y-axis and it is given by the value of the x-coordinate where it occurs
In the graph of the question, the vertical asymptote occurs at x = 12 and it is the line x = 12.
From the given graph, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.
The given curve represents a function which is defined for all value fo x except 12.
The following information can be extracted from the graph of the function;
The function is defined for all values of x except 12.The function has a horizontal asymptote at y=0.The function forms a vertical asymptote at x=12. The curve approaches negative infinity from the left of 12 and approaches positive infinity from right of 12.Based on the above conclusions, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.
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can i get help filling out the blanks
Answer:
The six raw digits are 14,15,15,15,16,16
Step-by-step explanation:
30 POINTS GEOMETRY QUESTION
Answer:
2.25
Step-by-step explanation:
x/1 = (9+x)/5
9 + x = 5x
9 = 4x
x = 2.25
Answer:
x = 9/4
Step-by-step explanation:
We know that the triangles are similar
We can use ratios to solve
x x+9
----- = ----------------
1 5
Using cross products
5x = 1(x+9)
5x = x+9
Subtract x
5x-x = x+9-x
4x= 9
Divide by 4
4x/4 = 9/4
x = 9/4
rest text yeah cry GC Ci
What do you mean?? .-.
Anna baked
3
33 batches of cookies with
c
cc cookies in each batch. She then ate
8
88 cookies!
How many cookies does Anna have left?
Answer:
3c-8
Step-by-step explanation:
ASAP!! can someone help solve any of these? whoever answers the most gets brainliest, i underlined the questions
Answer:
can u please type out the photo is too dark to see the questions
Step-by-step explanation:
15 POINTS!!!!!!!
How is a linear function affected by a horizontal shift?
Answer:
horizontal shift can affect the linear function, because it is impossible to distinguish which transformation was applied by looking at the resulting graph.
Step-by-step explanation:
a horizontal shift is a movement left to right along the x-axis, and in equation of a function it's change in the value of x before it's multiplied by the slope.
Answer:
I agree with Lambina and added this answer so she could get brainliest
Step-by-step explanation:
The weights, in pounds, of the upper-class men offensive line players for a college are shown below: 322, 290, 321, 326, 330, 315, 311, 292, 290 What is the average, or mean, weight of the upper-class men offensive players? Provide your answer with 3 sig figs. -311 pounds -315 pounds -290 pounds -318 pounds
Answer: 311 pounds
Step-by-step explanation:
To find the average, add up all of the values and divide by the amount of values.
First add up all of the values.
322+290+321+326+330+315+311+292+290 = 2797
Now count how many values there are and divide your previous sum by it.
2797/9 = 310.78
Because you need to have 3 sig figs, round to the nearest one.
310.78 rounds up to 311.
answer-311
Step-by-step explanation:
322+290+321+326+330+315+311+292+290=2797
Count the number of values and divide by 2797
2797 divided by 9 =310.77777777777777
Nearest one-311
Rate Problems:
3. Potomac Paddleboards rents paddleboards for $15 plus $4.50 per hour (no partial hours). How many hours
can you rent a paddleboard if you want to spend no more than $42?
Define variable:
Equation:
Solution:
how do i solve this?
The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collected, the sales te determines that the monthly profit is approximated by f(p)= -50p^2+1700p-12000, where p is the price per shirt and f(p) is the monthly profit on that price. A) Find the price that generates the maximum profit B) Find the maximum profit C) Find the price(s) that would enable the company to break even.
Answer:
Below
Step-by-step explanation:
You could just graph the equation for the answers....
Here is algebraic method
for Quadratic Equation - 50p^2 +1700p - 12000
the max profit occurs at p = - b/2a = - 1700 / (2* -50) = 17 dollars
A ) 17 dollars
B) use p =17 in the equation to find profit = 2450 dollars
C) Set the equation = 0 and solve for p
0 = -50p^2+1700p - 12 000
Use Quadratic Formula with a = -50 b = 1700 c = 12000
to find price = 40 dollars
Identify the types of number
Answer:
1 surds
2 fraction
3 decimal
4 negative
5 positive
On the graph of an exponential function representing growth what happens to the slope of the graph as X increases
Answer:
The slope of the graph will increase and get steeper.
Step-by-step explanation:
As x increases in an exponential growth graph, f(x) will have a larger value because the exponent value increases.
So, the graph will become steeper due to a larger slope.
The slope of the graph will increase and get steeper.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,m = Δy/Δx where, m is the slope
Given:
As we know that, all points on an exponential curve are always at a constant distance from one another because the slope of an exponential curve equals the constant rate of expansion.
The graph is not exponential if the slope is not constant.
So, In an exponential growth graph, f(x) will have a greater value as x grows as the exponent grows.
Consequently, a larger slope will cause the graph to grow steeper.
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What is the surface area of this cone?
Use a ã 3.14 and round your answer to the nearest hundredth.
6 m
4 m
square meters
Answer:
52.28 sq m
Step-by-step explanation:
SA=pi r(r+ the square root of h-squared and r-squared)
SA=3.14x2(2+the square root of 36 and 4)
SA=3.14x2(8.32)
SA=52.28 sq m
The Surface area of the given cone is 50.24 meter square
What is Cone?A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the or vertex.
What is Surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given,
Slant height l = 6 meter
Radius of the base r = [tex]\frac{4}{2} =2[/tex] meter
Surface area of the Cone = [tex]\pi rl+\pi r^{2}[/tex]
=[tex]\pi (2)(6)+\pi (2^{2} )[/tex]
=50.24 meter square
Hence, the surface area of the given cone is 50.24 meter square
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Phil received a prize of xxx dollars from a poker tournament. The tournament cost him 100100100 dollars to enter.
What were Phil's net winnings from the tournament?
Write your answer as an expression.
Answer:
The answer would be 999 because 100 has 3 digits Hope You get a Good Grade And have a wonderful day!!
compare -5/6 _ -3/7 choose from 1) > 2)
Answer
1)<2) please put 5 stars
Step-by-step explanation
First you need to find the GCF of the donominators which are 6 and 7. The GCF is 42.
6*x=42. x=7 5*7=35. -35/42 is the first fraction.
7*y=42 y=6 3*6=18. -18/42 is the second fraction.
-35/42 would be bigger but since it is negative, it is smaller.
Answer:
1)<2)
Step-by-step explanation:
calculate the radius and diameter of the circle
Answer:
radius is 12, diameter is 24
Step-by-step explanation:
it is a 15-12-9 triangle
Emily has driven 600 miles so far on her way to the beach. If her total trip will be 850 miles‚ about what percentage of the drive does she have left to complete? a) 15% b) 29% c) 40% d) 73%
Answer:
B) 29%
Step-by-step explanation:
First, we subtract 600 from 850 to get the distance she has left. 850 - 600 = 250. Next, we take 250 and divide it by 850 to get the decimal which is 0.294117647. We can round this answer to 0.29 and convert this answer to a percentage which is 29%.
Answer:
B. 29%
Step-by-step explanation:
Percentages can be found by dividing the part by the whole, then multiplying by 100.
(part/whole) * 100
We have to find the percentage of the drive she has left.
Therefore, the part is the miles she has left and the whole is the total trip.
(miles left/total trip) * 100
First, we need to find how many miles she has left. We must subtract the miles she has driven from the total trip.
total - miles driven
She has 850 total miles and has driven 600 miles.
850-600
250
She has 250 miles left.
Now we know the miles she has left.
(miles left/total trip) * 100
miles left = 250
total trip= 850
(250/850) * 100
Solve inside the parentheses first. Divide 250 by 800.
(0.29411765)*100
Multiply
29.411765
Round to the nearest whole number. The 4 in the tenth place tells us to leave the whole number as is.
29
Therefore, she has about 29% of her trip left.
(07.04 LC)What is the solution to the equation fraction 1 over 6x = 2?
Answer:
x = 12
Step-by-step explanation:
multiply both sides by the reciprocal of [tex]\frac{1}{6}[/tex], which is 6
x = 12
Answer: x is 12
Step-by-step explanation:
Please help me with this geometry question :((
Answer:
BC/BE = FG/FI
Step-by-step explanation:
Corresponding segments are proportional:
BC/BE = FG/FI
helppppp idk how to do that?
Jill has two dimes she is going to use to perform a probability experiment. What will the sample space look like if she flips the two dimes simultaneously
Answer: Experimental probability
Step-by-step explanation:
Probability helps us to know the chances of an event occurring. The sample space will have 4 outcomes.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that Jill has two dimes she is going to use to perform a probability experiment. The sample space looks as if she flips the two dimes simultaneously as shown below. The sample space will have 4 outcomes.
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PLEASE HURRY! :(
Find the surface area of a square pyramid where the length of a side of the base is 10 cm and the slant height of the pyramid is 16 cm.
Answer:
420
Step-by-step explanation:
First, you multiply the base by the slant height for the area of one triangle (160). Then multiply that by 1/2 to complete the area equation. 80*4 (four triangles equals 320. Then you multiply to find the base area 10*10= 100. Add those numbers together to get 420.
The surface area of the pyramid is 178.9 square centimeter.
We have a pyramid with the base edges (L) = 10 cm and slant height (S) = 16 cm .
We have to find the Surface area of the pyramid.
What is the formula to find the surface area of the pyramid with base edge = L, base width = w and pyramid height = h?The formula is -
[tex]S.A. = L^{2} + L\sqrt{L^{2} + 4h^{2} }[/tex]
Now, firstly find the height of the pyramid - using the Pythagoras theorem-
[tex](S)^{2} =(\frac{L}{2} )^{2} +h^{2} \\h^{2} = (S)^{2} - (\frac{L}{2} )^{2}\\h = \sqrt{(S)^{2} - (\frac{L}{2} )^{2}} \\[/tex]
h = 15.19 cm
Substituting the value of height in the formula of surface area -
S.A. = [tex](5)^{2} +5\sqrt{(5)^{2}+4(15.19)^{2} } \\[/tex] = 25 + 5 x 30.78 = 178.9 square centimeter.
Hence, the surface area of the pyramid is 178.9 square centimeter.
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(will mark brainliest if correct) find area and perimeter
Answer:
32.137 cm squared **Answer varies on how you round for step 2**
Step-by-step explanation:
**THIS ONLY WORKS IF DIAMETER IS ALSO 6 CM**
If the diameter is also 6 cm then the triangle would be isosceles .
1. Find the area of the triangle.
Formula: (Base x Height) / 2
= 6X6/2 = 18 cm squared
2. Find area of half-circle.
Formula: (πR^2)/2
= (π X 3^2)/2 = 9π/2 which is about 14.137 cm squared
3. Add the areas.
18 + 14.137 = 32.137 cm squared.
Which expression is equivalent to 15 (n+3/n) ?
£
N=10
Answer:
[tex]\sum_{n=10}^{15}(n+\frac{3}{n})=\sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]
Step-by-step explanation:
Given expression : [tex]\sum_{n=10}^{15}(n+\frac{3}{n})[/tex]
Solving further:
[tex]\sum_{n=10}^{15}(n+\frac{3}{n})[/tex]
[tex]\Rightarrow \sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]
So,[tex]\sum_{n=10}^{15}(n+\frac{3}{n})=\sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]
So, Option A is true
Hence the given expression is equivalent to Option A
Answer:
a
Step-by-step explanation:
edg 21 ^u^