Answer: 22.5 ; 5 ; 14
Step-by-step explanation:
Given the dataset:
{20,22,23,24,26,26,28,29,30}
The lower quartile (Q1) = 1/4(n + 1)th term
Where n = number of observations, n = 9
Q1 = 1/4 (9 + 1)th term
Q1 = 1/4(10) = 2.5
We average the 2nd and 3rd term:
(22 + 23) / 2
45 / 2 = 22.5
B) The interquartile range(IQR) of the dataset :
{62,63,64,65,67,68,68,68,69,74}
IQR = Q3 - Q1
The lower quartile (Q1) = 1/4(n + 1)th term
Where n = number of observations, n = 10
Q1 = 1/4 (10 + 1)th term
Q1 = 1/4(11) = 2.75 term
We take the average of the 2nd and 3rd term:
(63 + 64) / 2
45 / 2 = 63.5
The upper quartile (Q3) = 3/4(n + 1)th term
Where n = number of observations, n = 10
Q3 = 3/4 (10 + 1)th term
Q3 = 3/4(11) = 8.25 term
We take the average of the 8th and 9th term:
(68 + 69) / 2
137 / 2 = 68.5
IQR = Q3 - Q1
IQR = 68.5 - 63.5
IQR = 5
C) give the dataset :
{7,8,8,9,10,12,13,15,16}
The upper quartile (Q3) = 3/4(n + 1)th term
Where n = number of observations, n = 9
Q3 = 3/4 (9 + 1)th term
Q3 = 3/4(10) = 7.5 term
We take the average of the 7th and 8th term:
(13 + 15) / 2
28 / 2 = 14
Which of the following shows 3 + (x + 6y) rewritten using the Associative Property of Addition? 3 + x + 6y 3x + (6 + y) x + (3 + 6y) (3 + x) + 6y
Answer:
x + (3 + 6y)
Step-by-step explanation:
This shows that you can regroup the numbers however you want with addition and multiplication, so this is the right answer.
Hope this helps!
NEED ANWSER ASAP! WILL GIVE BRAINLIEST! An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?
Answer:
any way since the sides are the same leangth
Step-by-step explanation:
What is the solution for x. 4/3x-1/3=9
Answer:
x=7
Step-by-step explanation:
4/3x-1/3=9
Add 1/3 on both sides
4/3x=28/3
Multiply the reciprocal
(3/4)(4/3)x=28/3(3/4)
x=7
Hope this helps !!
i really need this can someone help solve asap!!!
Answer: to find this answer .we need to do pegothogs property
Step-by-step explanation:
30° + 90° = 90 (because it is right angle )
120° - 90° = 30°
Plz mark me as brainlist
thank you :-)
A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?
(20 POINTS!!!) Bob can paint a room in 3 hours, and Suzie can paint one in 2 hours. How long will it take them together to paint a room?
Answer:
1 hour 12 minutes or 1.2 hours
Step-by-step explanation:
You add fractions to get this.
1 room/3 hours + 1 room / 2 hours = 1 room / x
0.33333333+0.5 = 1 room / x
0.83333333 = 1 / x Multiply both sides by x
0.83333333x = 1 Divide by 0.8333333
x = 1/0.833333
x = 1.2 hours or
x = 1 hour and 12 minutes
24 ÷ [ 33- (1+2)^2] = ?
21 + 3 (2-2^2) = ?
[(14+[tex]\sqrt 4[/tex])÷2^3] - 14 = ?
20 + [18÷(4+1)] - (3^2 + 2) = ?
please simplify the expressions using the proper order of operations.
Answer:
Below in bold.
Step-by-step explanation:
24 ÷ [ 33- (1+2)^2]
= 24 / ( 33 - 3^2)
= 24 / 24 = 1.
21 + 3 (2-2^2)
= 21 + 3(2 - 4)
= 21 + 3 * -2
= 21 - 6
= 15.
[(14+√4)÷2^3] - 14
= [ (14 + 2) / 8] - 14
= 16/8 - 14
= 2 - 14
= -12.
20 + [18÷(4+1)] - (3^2 + 2)
= 20 + [18÷ 5] - (9 + 2)
= 20 + 3.6 - 11
= 23.6 - 11
= 12.6.
A rancher has 5,000 feet of fencing available to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal areas. If no fencing is required along the river, find the length of the center partition that will yield the maximum area.
Answer:
1,000 feet
Step-by-step explanation:
The closer to a square a rectangle is, the greater the area. So the 5,000 feet should be divided into 5 equal sections to create 2 squares with the river making one side. (Like the letter "E").
5,000/5=1,000
Michelle is changing her health care insurance and deciding between two different plans that charge the
same premium. Plan A has a $1,700 deductible with 20% coinsurance. Plan B has a $1,450 with 30%
coinsurance. Michelle had a total of $8,450 in medical bills last year. Under which plan would Michelle's
share have been less? Support your answer with mathematical calculations. Answer in complete
sentence.
plan B would share less
because, 20% of 1700 is 340 and 30% of 1450 is 435
I hope this helps!!
Answer:
plan A
Step-by-step explanation:
Plan A
1700-8450=6750*.20=1350+1700=3050
Plan B
1450-8450=7000*.30=2100+1450=3550
Answer=Plan A
this one question so plz don't think it is two
It's point A. 4 vertical units away from point M.
Answer: Point A
Step-by-step explanation:
Point M has the same x value as point A and point A is 4 units below it.
Hope it helps <3
plz answer asap will mark brainliest
Answer:
10 s'mores
Step-by-step explanation:
20 ÷ 2 = 10
but only if she has enough of the other ingredients too :)
Answer:
10 smore's
Step-by-step explanation:
If 2 graham crackers is required to make 1 smore
then 20 graham crackers will make 10 smore's
2 x 10 = 20
In the triangle below, what is the length of EF?
Answer:
EF
Step-by-step explanation:
This triangle is symmetric with respect to a vertical line drawn through the upper vertex. Thus, the length of EF is 12.
Answer:
12
12 is the ans
The focus of the problem set is to show your ability to prove similarity between two triangles that are congruent. True False
Answer:
true bc i am smart
Answer:
the answer is TRUEStep-by-step explanation:
What is the number of possible outcomes for the tree diagram below?
Answer: A. 9
Step-by-step explanation:
In the given tree diagram , there are 3 branches , to each branch there are 3 leaf nodes.
By using Fundamental counting principal ,
Number of possible outcomes for the tree diagram = (Number of branches) x (Number of leaf nodes)
[tex]=3 \times 3\\\\=9[/tex]
Hence, the number of possible outcomes for the tree diagram = 9
So, the correct option is A. 9.
Write an algebraic equation to match each graph. (These graphs are not drawn to scale!) please help! i will make brainliest answer if correct!
Answer:
the expression of this function is:
[tex]f(x)=|x-1|-1[/tex]
Step-by-step explanation:
This graph corresponds to an absolute value function, which as you can see has the minimum (vertex) at the point (1, -1) on the plane, and also that goes through the origin of coordinates (0, 0)
therefore, notice that from the point (0, 0) to (1, -1) there is a slope of "-1" which is going to characterize the steepness of the x- variable that resides inside the absolute value function. since the vertex has also moved from the characteristic (0, 0) in the function:
[tex]f(x)=|x|[/tex]
then we have to include a horizontal shift to the right in one unit (by subtracting 1 units from x), and a vertical shift downwards one unit (by subtracting 1 from the full absolute value expression) in order to shift the vertex to the position (1, -1):
[tex]f(x)=|x-1|-1[/tex]
A square has a length of 13m, find its area A. 1699m² B. 169m² C. 196m² D. 169m² I will mark you as brainliest
Answer: 169 m²
Step-by-step explanation:
The area of a square can be found by taking a side length(13), and squaring it, to get, in this case, 139.
Hope it helps <3
Answer:
169 m²
Step-by-step explanation:
To find the area of a square, we can apply a formula.
[tex]A=s^2[/tex]
[tex]A=area[/tex]
[tex]s=side \: length[/tex]
The side length is given 13 meters.
[tex]A=13^2[/tex]
Solve for [tex]A[/tex].
[tex]A=13 \times 13[/tex]
[tex]A=169[/tex]
The area of the square is 169 meters squared.
WILL MARK BRAINLIEST! Which of the following is a discrete random variable? a) length of time you play in a baseball game b) length of a car c) volume of water in a tank d) number of candies in a box
Answer:
d.which is number of candle's in a box
Answer:
number of candies in a box
Step-by-step explanation:
What is the value of x?
sin 55° = COS X
Answer:
x=35°
Step-by-step explanation:
Answer:
x = 35°Step-by-step explanation:
[tex] \sin(55) = \cos(x) \\ \\ x = { \cos( }^{ - 1} \sin(55) ) \\ \\ x = 35[/tex]
Hope this helps you
Diane runs 10 miles in 55 minutes, how many minuets does she take per mile?
Step-by-step explanation:
Hi!!
It's simple, you can do it easily.
no. of miles = 10 miles
time = 55 mins.
now,
no. of mins for 1 mile = no. of miles/ time
= 10 /55
=0.18181818 min.
so, she takes 0.181818 or 2/11 min per each mile.
Hope it helps...
Suppose a poll of 700 voters says that 45% of the voters will vote for Candidate A for president. Compute the 99% confidence interval
Answer: (0.4016, 0.4984).
Step-by-step explanation:
Let p be the proportion of voters will vote for Candidate A for president.
Formula for confidence interval for proportion:
[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
, here [tex]\hat{p}[/tex]= sample proportion
n= sample size.
z* =two-tailed critical z- value.
As per given, we have
n= 700
[tex]\hat{p}[/tex] = 0.45
Critical two-tailed z-value for 99% confidence interval = 2.576
Then, the required 99% confidence interval for p would be:
[tex]0.45\pm (2.576)\sqrt{\dfrac{0.45(1-0.45)}{700}}\\\\=0.45\pm(2.576)\sqrt{0.000353571428}\\\\=0.45\pm (2.576)(0.0188035)\\\\=0.45\pm0.04844\\\\=(0.45-0.048437,\ 0.45+0.048437)\\\\=(0.401563,\ 0.498437)\approx(0.4016,\ 0.4984)[/tex]
Hence, the required confidence interval (0.4016, 0.4984).
A submarine is only allowed to change its depth by rising toward the surface in 60 meter stages. If the submarine starts off at 340 meters below sea level, what is its depth after 4 stages of rising to the surface.
Answer:
100
Step-by-step explanation:
340 - (4 * 60) = 100
The depth of the submarine after 4 stages of rising to the surface will be 100 meters.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that a submarine is only allowed to change its depth by rising toward the surface in 60-meter stages. The submarine starts off at 340 meters below sea level.
The depth of the submarine after 4 stages will be calculated as below:-
depth = 4 x 60 = 240
depth from the surface = 340 - 240 100 meters
Therefore, the depth of the submarine after 4 stages of rising to the surface will be 100 meters.
To know more about expression follow
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someone help please lol I’m stuck !!!!!
━━━━━━━☆☆━━━━━━━
▹ Answer
2√15
▹ Step-by-Step Explanation
[tex]\sqrt{4} * \sqrt{3} * \sqrt{5}\\\\\\2\sqrt{3} \sqrt{5} \\\\2\sqrt{15}[/tex]
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
[tex]\mathrm{A.}[/tex] 2√15
Step-by-step explanation:
√4 × √3 × √5
Apply rule √a·√b·√c= √(abc)
√(4 × 3 × 5)
√60
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
The highest perfect square is 4.
One of the pair factors of 60 is 4 and 15.
60 can be written as a product of 4 and 15.
√(4 × 15)
√4 × √15
√4 = 2
2 × √15
please hurry! I'll mark brainliest if you're fast!
To find the quotient 5/7 ÷ 1/3
multiply 7/5 by 1/3
multiply 7/5 by 3.
multiply 5/7 by 3.
multiply 5/7 by 1/3
Answer:
multiply 5/7 by 3
Step-by-step explanation:
1. What solid is represented by this net? (Image 1). A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid 2. Choose all the solids from the list below. A. Rectangle B. Circle C. Cone D. Pyramid E. Prism F. Cylinder 3. The volume of the following figure = ___________ cm3. (Image 2) A. 288 B. 72 C. 216 D. 144
Answer:
1) TRIANGULAR PRISM
3) d. 144 cm3
Step-by-step explanation:
1) When figuring out what shape a net is, look at the two shapes that are different. In this case, its the triangles. Then take a look at the other shapes. If it has a rectangle base then you know its a prism. If it has a different shpes base then you know its pyramid. Now just combine the two key words you found. Triangle + Prism = Triangular Prism
2) A solid is something that is firm and stable. So it is not a liquid or solid. Pretty much everything that you listed is a solid.
3) The formula for finding the volume of a triangular prism is bxhxl divided by 2. So it would be 8x3x12= 288 divided by 2= 144 cm3
Answer:
Triangular prism.
Step-by-step explanation:
If the variance of a variable is 16, what is the standard deviation?
Answer:
Standard deviation=4
Step-by-step explanation:
Standard deviation = square root of variance
Standard deviation=√variance
Variance=standard deviation square
Variance=standard deviation^2
From the question
Variance=16
Standard deviation=?
Standard deviation=√variance
=√16
=4
Standard deviation=4
check:
If standard deviation=4
Variance=standard deviation^2
=4^2
=16
Therefore,
Standard deviation=√variance
[tex]4[/tex]
VarianceThe variance is a measure of how much each point deviates from the mean on average.The standard deviation of a set of numbers is the distance between them and the mean. (The mean is the arithmetic average of a given group of integers.)To compute the standard deviation, take the square root of the variance.Variance of the variable [tex]=16[/tex]
Standard deviation [tex]=\sqrt{16}[/tex]
[tex]=\boldsymbol{4}[/tex]
Find out more information about the variance here:
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The distance between two cities A and B is 400km. A car leaves from A towards B at a speed of 90kmph, at the same time another car leaves from B towards A at 110kmph.
-
a) Write the equations that give the distance as function of time.
b) Represent them graphically. V
c) Find the distance they have traveled to meet each other and the time invested.
Answer:
a. Distance = 400 - 200t
b. see attached graph
c. A travelled 180 km, B travelled 220 km, both took 2 hours.
Step-by-step explanation:
Given
distance = 400
A = 90 km/h
B = 110 km/h
A & B drive towards each other
Solutions
a) equation
Let
t = elapsed time in hours,
D(t) = distance between two drivers
D(t) = 400 - (A+B) t
D(t) = 400 - 200t ......................(1)
b. graph : for graph, see attached figure.
c. Distance and time
Time:
solve for t with the distance D(t) = 0 using equation (1)
0 = 400 - 200 t
200t = 400
t = 2 hours
distance travelled by A = 2 hours * 90 km/h = 180 km
distance travelled by B = 2 hours * 110 km/h = 220 km
50pts + brainliest pls helllppppppppppppppppppppp
find the equation of straight line passing through (1,-1) and (3,-5) pls help im in online class and i have to answer pls helllllllllllppppppppppppppp
Answer:
Equation y = -2x -3
Step-by-step explanation:
(1,-1) (3,-5)
Slope = -5-(-1) / 3-1 = -5+1/2 = -4/2 = -2
y = mx + K
-1 = -2(1) + k
-1 = -2 + k
k = 1
Equation y = -2x+1
Answer:
Step-by-step explanation:
slope=(y2-y1)/(x2-x1)=(-5-(-1))/(3-1)=(-5+1)/2=-4/2=-2
y-y1=m(x-x1)
y-(-1)=-2(x-1)
y+1=-2(x-1)
y+1=-2x+2
y=-2x+2-1
y=-2x+1
For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7
Answer:
a) 6
Step-by-step explanation:
Expanding the polynomial using the formula:
[tex]$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k $[/tex]
Also
[tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]
I think you mean [tex]210x^6y^4[/tex]
We can deduce that this term will be located somewhere in the middle. So I will calculate [tex]k= 5; k=6 \text{ and } k =7[/tex].
For [tex]k=5[/tex]
[tex]$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$[/tex]
Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just [tex]x^{n-k} y^k[/tex]
For [tex]k=6[/tex]
[tex]$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$[/tex]
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Lines c and d are parallel lines cut by transversal p.
Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8.
Which must be true by the corresponding angles theorem?
∠1 ≅ ∠7
∠2 ≅ ∠6
∠3 ≅ ∠5
∠5 ≅ ∠7
Answer:
b
Step-by-step explanation:
f(x) = 28 + 10x²; solve for f(1) and f(27)
Answer:
f(x) = 28 + 10x²
For f(1) substitute 1 into f(x)
That's
f(1) = 28 + 10(1)²
= 28 + 10
= 38f(27) = 28 + 10(27)²
= 28 + 7290
= 7318Hope this helps you