Answer: [tex]184,724.153[/tex]
Step-by-step explanation:
Given
In 1990, there were 1200 cell phone subscriber in small town of stephenville
It is increasing by 75% per year after 1990
In year 1991 it is
[tex]\Rightarrow 1200+1200\times 0.75\\\Rightarrow 122(1.75)[/tex]
In year 1992 it is
[tex]\Rightarrow 1200(1.75)+1200(1.75)\times 0.75\\\Rightarrow 1200(1.75)(1+0.75)\\\Rightarrow 1200(1.75)^2[/tex]
So, it is increasing as [tex]1200(1.75)^x[/tex]
where [tex]x=[/tex]no of years spent
After 9 years, it is
[tex]\Rightarrow 1200(1.75)^9=184,724.153[/tex]
What is 0.75 = 0.4 + 100
Answer:
0.75≠100.4
Step-by-step explanation:
Drag each tile to the correct box. Amanda, Derrick, and Todd attend the same high school. Each student works as the cashier one night a week at the school's concession stand. The number of items sold at the concession stand to the first 20 customers on three different nights is represented on the dot plots below. Find the interquartile range, IQR, for each dot plot. Then, place the students in order from greatest to least IQR.
Answer:
Amanda > Todd > Derrick
Step-by-step explanation:
Amanda's IQR- 3.5
Derrick's IQR- 2
Todd's IQR- 3
The solution is, ordering the IQR in descending order :
Emma, Sally, Olivia
What is IQR?The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set. Whereas the range gives you the spread of the whole data set, the interquartile range gives you the range of the middle half of a data set.
here, we have,
Writing out the points obtained from the dot plot, and applying the relevant formula, the Interquartile range of each dot plot is given below ;
Writing out each score on the dot plot to calculate the statistical values :
Emma's Scores:
6 , 7 , 8 , 8 , 9 , 9 , 9 , 10 , 10 , 11 , 11 , 11 , 11 , 11 , 12 , 13 , 13 , 13 , 13 , 14
Q1 = 1/4(n+1)th term
Q1 = (5th + 6th) terms
Q1 = (9 + 9) / 2 = 9
Q3 = 3/4(n+)th term
Q3 = (12 + 13) ÷ 2 = 12.5
IQR = Q3 - Q1
IQR = 12.5 - 9 = 3.5
Sally's Scores:
6 , 6 , 6 , 7 , 7 , 8 , 8 , 8 , 9 , 9 , 10 , 10 , 10 , 10 , 10 , 10 , 11 , 11 , 12 , 12 , 14
Q1 = 1/4(n+1)th term
Q1 = (7 + 8) ÷ 2 = 7.5
Q3 = 3/4(n+1)th term
Q3 = (10 + 11) ÷ 2 = 10.5
IQR = Q3 - Q1
IQR = 10.5 - 7.5 = 3
Olivia's Scores:
6 , 6 , 7 , 7 , 7 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 9 , 9 , 10 , 10 , 12 , 12 , 13 , 14
Q1 = 1/4(n+1)th term
Q1 = (7 + 8) ÷ 2 = 7.5
Q3 = 1/4(n+1)th term
Q3 = (10 + 10) ÷ 2 = 10
IQR = Q3 - Q1
IQR = 10 - 7.5 = 2.5
Therefore, ordering the IQR in descending order :
Emma, Sally, Olivia
Learn more on IQR :
brainly.com/question/18006476
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complete question:
Drag each tile to the correct box.
Emma, Sally, and Olivia play for the school basketball team. The dot plots show the number of points each of them scored in 20 games.
Find the interquartile range, IQR, for each dot plot. Then, place the basketball players in order from greatest to least IQR.
Find the area of the circle.
Use 3.14 for it.
(
d = 8 cm
A = [?] cm2
A=Tr2
I NEED HELP ASAP IM TRYING TO STUDY FOR MY STAAR TEST TOMORROW *NO LINKS ALLOWED*
Answer:
C
Step-by-step explanation:
equations for each:
A) y - x = 25
B) y = 25x
C) x = 25y
D) y = 25 + x
Find the area of the trapezoid shown below
Answer:
A=a+b
2h
Step-by-step explanation:
What is the side length of the smaller square plate on which 36 CM chopstick can fit along a diagonal without any overhang
Step-by-step explanation:
2
57
65
566
77788
66777
66788
67899
6789
78899
789999
88889
8888888
788889
888888999999999
Convert radian measure into degrees.
From the latter, we obtain the equation 1 radian = (180π)o . This leads us to the rule to convert radian measure to degree measure. To convert from radians to degrees, multiply the radians by 180°π radians .
In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.
Answer:
19.7°
Step-by-step explanation:
In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.
We make use of sine rule
TU/sin V = UV/sin U
9.8/sin 90 = 3.3/sin U
Cross Multiply
sin 90 × 3.3 = 9.8 × sin U
sin U = sin 90 × 3.3 /9.8
U = arc sin ( sin 90 × 3.3/9.8)
U = 19.7°
Helpppp chile. I’m stuck sidnfifnfig vkfniffnf
Step-by-step explanation:
12*4 - 2*2
48 - 4
44 ft of carpet.
ello i need help -^-
Answer:
d =90 e=52 f=52
Step-by-step explanation:
The angle that are crosppsinding have equal angle.
like f=e.
Use cosine law to find the value of x. Show working. use ^ for power and sqrt for square root
Answer:
x ≈ 11.89
Step-by-step explanation:
Using the cosine rule
x² = 4² + 9² - ( 2 × 4 × 9 × cos128° )
= 16 + 81 - 72cos128°
= 97 - (- 44.33 )
= 141.33 ( take the square root of both sides )
x = [tex]\sqrt{141.33}[/tex] ≈ 11.89 ( to 2 dec. places )
Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 5, -25, 125,
The explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].
The given sequence is 5, -25, 125,.......
Here, the common ratio is -25/5 = -5 and 125/(-25) = -5.
We know that, the explicit formula for an geometric sequence is [tex]a_n=ar^{n-1}[/tex].
Where, a = first term of the sequence, r= common ratio and n = number of terms.
Substitute, a=5 and r=-5 in [tex]a_n=ar^{n-1}[/tex], we get
[tex]a_n=5\times(-5)^{n-1}[/tex]
Therefore, the explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].
To learn more about the geometric sequence visit:
https://brainly.com/question/11266123.
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Two partners starting a new restaurant and the total investment is $67,000. Their investments are in the Ratio 3:4. How much does each investor contribute?
Answer:
One investor should make ABOUT $28714.29 while the other will make about $38285.71
Step-by-step explanation:
67000 x 3/7 =28714.285...
67000 x 4/7 = 38285.714....
Please help! This is urgent what is the answer
Answer:
Your answer would be 3.4
Step-by-step explanation:
I would explain but it seems like you in a hurry for the answer so I'm just going to give you the answer hope you get a %100 on whatever your doing!!
Please mark brainly!
Answer:
Step-by-step explanation:
PLS HELP ASAP
Function g is shown on the graph
Which function represents g
Answer:
Step-by-step explanation:
The probability distribution for a
random variable x is given in the table.
-5
3
-2
0
2
3
Probability
.17
.13
33
(16
.10
Find the probability that xs-3
There are only two possible outcomes in the table that satisfy x ≤ -3; either x = -5 or x = -3. Then
P(x ≤ -3) = P(x = -5) + P(x = -3) = 0.17 + 0.13 = 0.3
Q12.
Which relation is a function?
A
{(-1, 3), (-2, 6), (0, 0), (-2, -2)}
B
{(-2, -2), (0, 0), (1, 1), (2, -2)}
C
{(7, 4), (8, 8), (10, 8), (10, 10)}
D
{(4, 0), (4, 1), (4, 2), (4, 3)}
pls answer i need the answer
1 ticket
2 tickets
3 tickets
4 tickets
Answer:
3
Step-by-step explanation:
Answer:
2 tickets
Step-by-step explanation:
a + c = 5
9a + 4c = 30
let a = 5-c
substitute:
9(5-c) + 4c = 30
45 - 9c + 4c = 30
45 - 5c = 30
-5c = -15
c = 3
a = 2
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
[tex]16[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 8x + c[/tex]
[tex] {x}^{2} + c - 8x[/tex]
To find the c value [tex]c = ( \frac{b}{2})^{2} [/tex] , divide the coefficient of x by 2 and square the result.
[tex]( - 1 \times 4 {)}^{2} [/tex]
[tex]( - 4 {)}^{2} [/tex]
[tex]16[/tex]
Hope it is helpful....Consider the geometric sequence 8,4,2,1,...
Answer:
Its A for the function that represents the geomertric sequence
There are two jars with marbles. The first jar contains 3 red, 4 green, and 5 blue marbles. The second jar contains 4 red, 2 green, and 6 blue marbles. What is the probability of the randomly drawing a green marble from the first jar and blue marble from the second jar
Answer:
both jars contain 12 marbles
for the first jar the probability is 4/12 which is 33%
for the second jar the probability is 6/12 which is 50%
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
theres 12 mables in each jar in this situation.
how can I do this ???
Answer:
The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].
Step-by-step explanation:
A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:
Angle E
[tex]E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right][/tex]
[tex]E \approx 34.093^{\circ}[/tex]
Angle F
[tex]F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right][/tex]
[tex]F \approx 106.068^{\circ}[/tex]
Angle G
[tex]G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right][/tex]
[tex]G \approx 39.838^{\circ}[/tex]
The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].
If the ratio of baseballs to golf balls is 2:3 and there are 30 baseballs in the box, how many golf balls are in the box
Answer:
45
Step-by-step explanation:
Ratio is 2 baseballs to 3 golf balls you have 30 baseballs.
2×15= 30
3x15= 45
Please help me with this
Answer:
128
Step-by-step explanation:
they are parralel
Answer:
the answer is 128 they are parallel
Which is the expression 4 x 4 x4 x 3 x 3 x 2 x 2 x 2 x 2 written using
exponents?
PLEASE HELP THANK YOU BRANLIEST IS PROVIDED
Answer:
Solution given;
area of semi circle=½πr²=1/2×3.14×4²=25.12in²
area of rectangle ABCD=l×b=8×13=104in²
area of rectangle CEFI=l×b=3×6=18in²
Total area =25.12+104+18=147.12in²
Area of circle
πr²π(7+6-5/2)²π(8/2)²16π25.12in²Area of centre rectangle
8(13)104in²Area of right rectangle
3(6)18in²Total
18+104+25.12122+25.12147.12in²Hi how’s your day ? Would you like to help me ?
Answer:
Hi
Good
I think its the second but i'm not sure because there are no measurements
Good luck
Given b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C. What is the area of the triangle? Round to the nearest hundredth.
Answer:
1.73 units
Step-by-step explanation:
The area of a triangle with sides a, b, c and angles A, B, C is given as
Area = 1/2 bc sin A
Given that b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C then the area
= 1/2 * 4 * 1 * sin 120
= 2 sin 120
= 2 * √3/2
= √3
= 1.732
To the nearest hundredth = 1.73
The radius of a circle is 7 millimeters. What is the circle's area?
Use 3.14 for a.
square millimeters
Answer:
153.86
Step-by-step explanation:
formula - πr²
= 3.14 * 7²
= 153.86
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