Answer:
[tex][a,b,c]=[4,2,5][/tex] or [tex][a,b,c]=[2,4,5][/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cccccc}{Bedroom} & {1} & {2} & {3} & {4} & {5} \ \\ {Houses} & {7} & {a} & {b} & {c} & {8} \ \end{array}[/tex]
[tex]n = 26[/tex]
[tex]Median = 3.5[/tex]
Required
Find a, b and c
Median is calculated as:
[tex]Median = \frac{n+1}{2}[/tex]
[tex]Median = \frac{26+1}{2}[/tex]
[tex]Median = \frac{27}{2}[/tex]
[tex]Median = 13.5th[/tex]
This means that the median is the average of the 13th and 14th item.
[tex]\begin{array}{cccccc}{Bedroom} & {1} & {2} & {3} & {4} & {5} \ \\ {Houses} & {7} & {a} & {b} & {c} & {8} \ \end{array}[/tex]
Since the median is [tex]Median = 3.5[/tex] (average of 3 and 4),
and:
[tex]3 \to b \to 13[/tex]
[tex]4 \to c \to 14[/tex]
This implies that c begins at 14
So, the number of houses bedrooms 4 and 5 is:
[tex]c + 8 = 26 - 14 +1[/tex]
[tex]c + 8 = 13[/tex]
[tex]c = 5[/tex]
Also
[tex]7 + a + b + c + 8 = 26[/tex] ---- sum of total frequency
[tex]a + b + c = 26 - 7 - 8[/tex]
[tex]a + b + c = 11[/tex]
Substitute [tex]c = 5[/tex]
[tex]a + b + 5 = 11[/tex]
[tex]a + b = 11 - 5[/tex]
[tex]a + b = 6[/tex]
Since a, b and c are different, then
a and b cannot be 5 because [tex]c = 5[/tex]
a and b cannot be 3 because [tex]a = b =3[/tex]
[tex]b \ne 0[/tex] because b ends at 13
a
So, possible sets are:
[tex][a,b]=[2,4][/tex]
[tex][a,b]=[4,2][/tex]
Include c, we have:
[tex][a,b,c]=[4,2,5][/tex] or [tex][a,b,c]=[2,4,5][/tex]
The possible set of values for a, b and c are:
{a,b,c} = {2,4,5} or {a,b,c} = {4,2,5}
The information provided about the houses is as follows:
number of houses, n = 26median number of bedrooms = 3.5Number of bedrooms: 1, 2, 3, 4, 5Number of houses : 7, a, b, c, 8So;
7 houses have 1 bedrooma houses have 2 bedroomsb houses have 3 bedroomsc houses have 4 bedrooms8 houses have 5 bedroomsmedian = (n + 1) / 2
median = 26 + 1 / 2
median = 13.5
Therefore, the median number of bedrooms is the average of the 13th and 14th houses.
Also, median = 3.5 = 3 + 4/ 2
Therefore, b = 13th house; c = 14th house
Since, n = 26 and c is the beginning of the 14th house;
c + 8 = 13
c = 13 - 8
c = 5 houses
Also; 7 + a + b = 13 houses
a + b = 13 - 7
a + b = 6 houses
Since a, b and c are different numbers; neither a or b can be 1 or 5Since the 13th house marks the end of b; neither b nor a can be 0 or 6The two possible sets of values of a and b are;
a = 2 and b = 4 or a = b and b = 2
Therefore, the possible set of values for a, b and c are:
{a,b,c} = {2,4,5} or {a,b,c} = {4,2,5}
Learn more about value sets and median at: https://brainly.com/question/22023
Use the integers that are closest to the number in the middle. √57
Answer:
50 or 60 (sorr if wrong
Step-by-step explanation:
INTERMEDIATE LEVEL
5. Find the equation of the line passing through
the point
(d) (2, -3) and perpendicular to the line y + 2x = 13.
y = (1/2)x - 4
Step-by-step explanation:
The equation of the given line is
y = -2x + 13
The equation of the perpendicular line that we need must have a slope of 1/2 and passes through (2, -3) so the form should be
y = (1/2)x + b
To solve for b, use the point (2, -3)
-3 = (1/2)(2) + b ---> b = -4
Therefore, the equation that we need has the form
y = (1/2)x - 4
Plsss helppp I’ll mark you brainliest!!!!
Answer:
0.5
Step-by-step explanation:
To find the rate of change, we can use the slope formula of [tex](y^2-y^1) / (x^2-x^1)[/tex].
Plugging in the first two points gets us:
[tex](1 - .5) / (1-0)[/tex]
[tex]0.5 / 1[/tex]
[tex]0.5[/tex]
That is your rate of change.
Joe gives away 3 out of 20 coins in his collection what percent does he give away?
Answer: 0.6
Step-by-step explanation:
Answer:
15 %
Step-by-step explanation:
3/0.15 = 20
Which expression has a value of 7/12
Answer:
there isn't any choices but 6/12+1/12=7/12
or 4/12+3/12=7/12
hope this helps
have a good day :)
Step-by-step explanation:
Solve Equations: 8x + 260 = -5x + 650
Answer:
8x+260=-5x+650
8x+5x=650-260
13x=390
x=390/13
x=30
Step-by-step explanation:
Step-by-step explanation:
8x+5x=650-260
13x=390
X=30
A cylinder has a height of 9 inches. Its volume is 4,775.94 cubic inches l. What is the radius of the cylinder
Answer:
The radius of the cylinder is 13.0 inches.
Step-by-step explanation:
The volume of a cylinder is given by:
[tex] V = \pi r^{2}h [/tex]
Where:
V: is the volume = 4775.94 in³
r: is the radius =?
h: is the height = 9 in
Hence, by solving the above equation for "r" we have:
[tex] r = \sqrt{\frac{V}{\pi h}} = \sqrt{\frac{4775.94 in^{3}}{\pi 9 in}} = 13.0 in [/tex]
Therefore, the radius of the cylinder is 13.0 inches.
I hope it helps you!
I'm confused on how to do this question
Answer:
CE = 35
Step-by-step explanation:
Based on the Triangle Proportionality Theorem, BD divides AC and CE proportionally. This implies that:
BC:AB = DC:DE
Plug in the values
(x - 5)/6 = 14/(2x + 3)
(x - 5)(2x + 3) = 14*6
x(2x + 3) -5(2x + 3) = 84
2x² + 3x - 10x - 15 = 84
2x² - 7x - 15 - 84 = 0
2x² - 7x - 99 = 0
Factorize
2x² - 18x + 11x - 99 = 0
2x(x - 9) +11(x - 9) = 0
(2x + 11)(x - 9) = 0
2x = -11
x = -11/2
Or
x = 9
Let's take the positive value of x
Thus:
CE = 14 + 2x + 3
Plug in the value of x
CE = 14 + 2(9) + 3
CE = 14 + 18 + 3
CE = 35
Name three solutions to the inequality. x<7
Answer:
x=anything less than 7
x=5
x=-2
x=-7
x= anything less than 7
Step-by-step explanation:
(b+1/4) (b-1/4)(b+64)
Answer: b^3+ 64b^2 - b/16 -4
Step-by-step explanation:
Ask at least 12 of your adult friends and family members the same survey question. (The more people you ask, the better.) How do your survey results compare with the results in the article? What are some possible reasons your results might be different? When comparing the results, be sure to take into account the margin of error for the survey discussed in the article.
Answer:
You could say something like, "My servey answers I got were a little bit different then the results in the artical. This may be because the pople I asked have different oppinions on this subject. Also. . . "Insert Something About The Margin Errors Here". . .That is how my results compare to the results in the passage and why they are different.
Step-by-step explanation:
I'm not sure if this is the format u want though.
What is the solution to the equation below?
-5+ 3x-2-6
Answer:
x= 4.33333333
Step-by-step explanation:
First, you need to get the constants to the other side. That would equal 13. You do this by using the opposite sign to get it to the other side. In this instance you would first add 6 to -6 and 0:
-6 = 0
+6 +6
You do this with all the other constants until you have this
3x = 13
You then divide each side by 3 because the whole point of solving the equation is to get x by itself. After you divide 3x by 3 you cancel out the 3 there. And when you divide 13 by 3 you get 4.33333333
So x = 4.33333333
Hope this helps!
Which is equivalent to
the answer is A couse divide all 5
help ugent!
12 + 2 + 2 + 2 + 2 + 2 ^ 2=
[tex]24.[/tex]
Step-by-step explanation:
[tex]12 + 2 = 14.[/tex]
[tex]14 + 2 = 16.[/tex]
[tex]16 + 2 = 18.[/tex]
[tex]18 + 2 = 20.[/tex]
[tex]20 + {2}^{2} = 24.[/tex]
Note:- 2² = 2×2 = 4. So, 2² = 4.
Answer:
24
make sure you calculate the answer next time!
Ajay has equal numbers of rock songs and pop songs loaded on his personal music player. He has it set to play songs plz helpp...on a random shuffle. Suppose Ajay is designing a simulation that could be used to estimate the probability that the next three songs to play are all alternative rock songs.
Which simulation design could Ajay use to estimate the probability?
O A. Random digits Let 1, 2, 3, 4,5rock Let 6,7,8,9,0 pop Select three rondom digits. Repeat
O B. Number cube Let 1,2 = rock Let 4,5 - pop Roll cube three times. Repeat
O C. Number cube Let 1 = rock Let 2 = pop Roll cube three times. Repeat
O D. Random digits Let 1,2 = rock Let 3,4,5,6,7,8,9,0 = pop select three digits. repeat
Option D. The simulation design that Ajay can use to estimate the probability would be Random digits Let 1,2 = rock Let 3,4,5,6,7,8,9,0 = pop select three digits. repeat.
How to find the simulation designThe number cube has being said to be made up of six digits. The digits are said to be assigned in pairs of three.
Hence we are going to have a case of 1/3. This is what can then be used to model the probability.
Read more on simulations here:
https://brainly.com/question/15892457
#SPJ1
id also appreciate help on this one ^^
Answer:
The area of the given figure is 87.55 cm square.
Someone please explain!
Answer:
Let the number of beads = x
Sum of the ratio = 11
a) fraction of yellow beads :
[tex]\frac{11}{15} \ of \ x \\[/tex]
b) given there are 75 beads , x =75
# of yellow beads =
[tex]\frac{11}{15}*75 = 55\\[/tex]
#of green beads =
[tex]\frac{4}{15} *75 = 20[/tex]
Number of green beads = 20
c) After adding more beads.
Given yellow beads = 3 times as many green = 3×20 = 60
Gabby added more yellow beads.
In an experiment, the probability that event A occurs is 1/6
, the probability that event B occurs is 1/2 and the probability that events A and B both occur is 1/12 Are A and B independent events?
Answer:
1/6
Step-by-step explanation:
In an experiment, the probability that event A occurs is 1/6
, the probability that event B occurs is 1/2 and the probability that events A and B both occur is 1/12 Are A and B independent events?
Factual Questions 1. The homicide rate in 1920 was approximately 6 per 100,000. Expressed as a percentage (per 100), what was the homi- cide rate in 1920?
Review the graph of piecewise function g(x).
Answer:
I'm g(=)0 hope you get the point now.
Answer:
B
Step-by-step explanation:
I got it right
3350 5654 10.. can anyone guess the last two numbers?
Can someone pls help me
Answer:
I don't get the question
Step-by-step explanation:
I'm sorry I can't help you
Evaluate 25^3/2
......
Answer:
125.........................
Answer:
125
Step-by-step explanation:
Rewrite:
25^1.5=125
answer pls i need the answer not a virus link
answer: rhe answer is 90
Which statement describes the transformation of the vertex of the absolute value function: y=|x−2|+4
Answer:
The base function is being translated up 4 units due the + 4
Nootmath How can you tell a graph of an exponential represents decay?
Answer:
Step-by-step explanation:
Given the function h(p)=p2 + 2p evaluate h(3).
Answer:
12
Step-by-step explanation:
h(3)=3x2 + 2x3 = 6+6 = 12
Answer:
[tex]h(p) = {p}^{2} + 2p \\ h(p) = p(p + 2) \\ h(3) = 3(3 + 2) \\ = 3 \times 5 \\ = 15[/tex]
[tex] \small{ \star{ \underline{ \blue{ {becker}}}}}[/tex]
For which shape is 180 degrees the smallest angle of rational symmetry?
Factor the expression completely. -9x^3+72x^5 −9x 3 +72x 5
Answer:
72x5−9x3+333x
Step-by-step explanation:
Help me plz I did the first problem
Answer:
b. 30 > 2d
15 > d
c. 15/f < 5
15 < 5f
5 < f
d. 42 [tex]\leq[/tex] 50 - m
42 + m [tex]\leq[/tex] 50
m [tex]\leq[/tex] 8