Answer: 0.1974
Step-by-step explanation:
Let X be a random variable that denotes the gas mileage (in miles per gallon) of the individual sedan.
Given: Population mean: [tex]\mu=20[/tex]
Standard deviation: [tex]\sigma=2[/tex]
The probability that the gas mileage (in miles per gallon) of your single, individual sedan is between 19.5 and 20.5:
[tex]P(19.5<x<20.5)=P(\dfrac{19.5-20}{2}<\dfrac{x-\mu}{\sigma}<\dfrac{20.5-20}{2})\\\\=P(-0.25<z<0.25)=2P(0.25)-1 [P(-z<Z<z)=2P(Z<z)-1]\\\\=2(0.5987)-1=0.1974[/tex]
The required probability=0.1974
PLEASE HELP!
In 2-3 sentences describe why the only way an infinite geometric series has a sum is if |r| < 1.
find the angle measure given extended triangles
help pls
Answer:
x=74
Step-by-step explanation:
Solve big triangle first 33+45= 78
78+28= 106
Will mark BRAINLIEST!
Find the numeral to put in the blank to make each equation true. Do not convert to base ten. (Hint: In base 12, T stands for the numer 1 greater than 9 and E stands for the number 2 greater than 9.)
a. 4413 five- __five= 2331 five
b. 10011 two+ __ two= 100000 two
c. TEE twelve- __ twelve= 8 twelve
d. 1000 five + __ five = 10000 five
Answer:
a. 4413₅ - __ ₅ = 2331₅
4413₅ - 2331₅ = 2032₅b. 10011₂ + __ ₂ = 100000₂
100000₂ - 10011₂ = 10001₂c. TEE₁₂ - __ ₁₂ = 8₁₂
TEE₁₂ - 8₁₂ = TT3₁₂d. 1000₅ + __ ₅ = 10000₅
10000₅ - 1000₅ = 4000₅Solve the following system of equations.
-3x+5y=-7
-7x-9y=25
Answer:
(x,y)=(-1.-2)
Step-by-step explanation:
Using the elimination method:
-27x+45y=-63
-35x-45y=125
---------------------
-62x=62-->x=-1
-3*(-1)+5*6=-7-->y=-2
giving brainliest !!!!
Answer:
1105.28
Step-by-step explanation:
d = 16
r = d/2 = 8
Formula:
SA = 2πr² + 2πrh
SA = 2(3.14)(8²) + 2(3.14)(8)(14)
SA = 2(3.14)(64) + 2(3.14)(8)(14)
SA = 401.92 + 703.36
SA = 1105.28
BUILDING PLANS In a scale drawing of a school's floor plan, 6 inches represents 100 feet If the
distance from one end of the main hallway to the other is 175 feet, find the corresponding length in the scale
Answer:
10.5
Step-by-step explanation:
You just divide 175/100, and then multiply it by 6 to get 10.5
plz help me I'm timed!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Answer is C. 9
Step-by-step explanation:
It is basically the same thing as 12-3 and that's equal to 9. It's 9 my man
What is the midpoint of a line segment with endpoints at (2,3) and (4,5)?
Answer:
Use the formula.
((x1+x2)/2 , (y1+y2)/2)
(2+4)/2 , (3 + 5)/2
3 , 4
Answer:
(3, 4)
Step-by-step explanation:
(2,3) and (4,5)
midpt formula:
[tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )\\\\(\frac{2+4}{2} ,\frac{3+5}{2} )\\\\(\frac{6}{2} ,\frac{8}{2} )\\\\(3,4)[/tex]
The distance around a triangle is 36 centimeters. If two sides are equal and the length of the third side is 14 centimeters, what is the length of each of the other two sides?
Plz help me I don’t understand this
Answer:
1/10
Step-by-step explanation:
just had to simplify
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
Simplify the ratio by a common term (3)
Divide each number by this GCF : 3
3/3 =1
30/3 = 10
1/10
Can someone help me out with this?? It’s due soon...
Consider the graph of f(x) = (1/2)x
The graph of function g is graph because the graph of function g is the result of a
applied to the graph of function f
The graph of function g is graph Z because the graph of function g is the result of a horizontal compression applied to the graph of function f
How to determine the function g(x)?Function f(x) is given as:
[tex]f(x) = (\frac 12)^x[/tex]
Function g(x) is given as:
g(x) = f(kx)
The above represents a horizontal compression of function f(x) to form function g(x)
The graph that represents a horizontal compression is graph Z
Hence, the graph of function g is graph Z
Read more about horizontal compression at:
https://brainly.com/question/10675292
#SPJ1
The Ano Center in Chicago is a tall square tower. Its base covers an area of about 37,636 square feet. The building is about 1,136 feet tall. What is the volume of the Ano Center?
Answer:
42754496
Step-by-step explanation:
Volume =Base area * height
=37636 * 1136
=42754496cubic feet
which expression is 1/2 as large as 486-466
Answer: 20-10
Step-by-step explanation: 486-466 is 20. Half of 20 is 10. Any expression that equals ten is 1/2 as large as 486-466.
The expression is 1/2 as large as 486-466 is with the data 10.
What is fraction?Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Let us understand this concept using an example. The following figure shows a pizza that is divided into 8 equal parts. Now, if we want to express one selected part of the pizza, we can express it as 1/8 which shows that out of 8 equal parts, we are referring to 1 part.
Given:
Class = 486 - 466
We have given a class whose upper limit = 486
and, lower limit = 466
the range or difference between class
=486 - 466
=20
Thus, the 1/2 of range is 10.
Hence, expression is 1/2 as large as 486-466 is with the data 10.
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ2
Someone please answer this correctly
Answer:
The answers would be 3 & 4 ^_^ .
Step-by-step explanation:
Hope it was helpful .
CAN SOMEONE PLEASE ANSWER THIS QUICKLY I DONT GOT TIME
Answer:
6) 5(1/3)
7) 5(1/3)
8) 3(3/5) or 18/5
because answer were cut off
Answer:
7) 5 [tex]\frac{1}{3} \\[/tex]
8) 5 [tex]\frac{1}{3}[/tex]
9) 3 [tex]\frac{3}{5}[/tex]
hope it is right, just use your calculator
Raul recibió un bono de $750, el que era 5% de su salario anual . Su sueldo anual es de ?
Answer: 375
Step-by-step explanation:
A C (prima) = 14cm AC= 5cm
Cual es la razón de la homotecia?
A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 4% of the true proportion. Find the sample necessary if, in a prior study, a sample of 200 people showed that 40 traveled overseas last year. If no estimate of the sample proportion is available, how large should the sample be
Answer: If in a prior study, a sample of 200 people showed that 40 traveled overseas last year, then n= 385
If no estimate of the sample proportion is available , then n= 601
Step-by-step explanation:
Let p be the prior population proportion of people who traveled overseas last year.
If p is known, then required sample size = [tex]n=p(1-p)(\dfrac{z^*}{E})^2[/tex]
z-value for 95% confidence = 1.96
E = 0.04 (given)
[tex]p=\dfrac{40}{200}=0.2[/tex]
[tex]n=0.2(1-0.2)(\dfrac{1.96}{0.04})^2=384.16\approx385[/tex]
Required sample size = 385
If p is unknown, then required sample size = [tex]n=0.25(\dfrac{z^*}{E})^2[/tex]
, where E = Margin of error , z* =critical z-value.
z-value for 95% confidence = 1.96
E = 0.04 (given)
So, [tex]n=0.25(\dfrac{1.96}{0.04})^2=600.25\approx601[/tex]
Required sample size = 601.
quería saber el problema este q no me se la respuesta
PLS HELP DUE VERY SOON
3. Consider the following box plot.
(a) Find the interquartile range.
(b) What percent of values is included in the interquartile range?
Answer:
a) Interquartile range= upper quartile- lowwr quartile
= Q3- Q1
= 4.75-2.25
= 2.50
b) ( 2.5 ÷ 6 ) × 100
= 41.67%
Answer:now you can give other guy brainliest.
Step-by-step explanation:
(m+2)^2=27
solve by square root property
when i did it i got: m=±√27-4
is that correct?
Answer:
Yes, that's correct
Step-by-step explanation:
Question 17 of 25
A density graph for all the possible speeds between 0 mph and 320 mph is in
the shape of a triangle. What is the height of the triangle?
A. 0.025
B. 0.003125
C. 0.00625
D. 0.0125
SUBMIT
Please help. I need to prove ABCD is a parallelogram
Answer:
It's a parallelogram because it has two parallel sides "a,b"+"d,c" or "a,d"+"b,c". It is connected by "a,d".
Step-by-step explanation:
Emilio represents the perimeter of the triangle with the equation
(5w - 13) + (2w + 6) + 2(5w + 15) = P, where P is the perimeter of the triangle.
Which equation is correctly solved for w?
Answer:
A
Step-by-step explanation:
1) multiply 2 for 5w and 15
5w -13 + 2w + 6 + 10w + 30 = P
2) sum the therms with w and the term without it
17w + 23= P
3) add -23 at the two terms
17w + 23 - 23= P - 23
17w = P - 23
4) divide the two terms by 17
w = (P-23)/17
if f(x) = 2x+6 and g(x) = x(3) , what is (g0f)(0)
Answer:
(g0f)= (2x0+6 x 0x3)= 8x3= 24
Step-by-step explanation:
I'm not sure
:) sorry
What is the area? Write the answer
Answer:
the answer to the question is 179/25
Somebody please help me!!!
Answer:
(-1,6) is where the point would be.
Just a reflection across the y axis.
Answer:
(-6, 1)
Step-by-step explanation:
I rotate 270 degrees means to turn 90 degrees clockwise 3 times, If You rotate once it is in the +x, -y rotate again -x, -y, and the last time is -x +y. Please give brainliest if this is helpful. Sorry if this is confusing :)
The other person did a 180 degrees rotation instead of 270
if you answer this pls explain (no links)
Answer:
false
Step-by-step explanation:
15-8=7
8-15=-7
The growth in per share FCFE of FOX, Inc. is expected to be 10%/year for the next three years, followed by a growth rate of 5%/year for two years; after this five year period, the growth in per share FCFE is expected to be 3%/year, indefinitely. The required rate of return on FOX, Inc. is 12%. Last year's per share FCFE was $1.8. What should the stock sell for today?
Answer: $25.46
Step-by-step explanation:
Year 1 FCFE = 1.8 * (1 + 10%) = $1.98
Year 2 FCFE = 1.98 * 1.1 = $2.18
Year 3 FCFE = 2.178 * 1.1 = $2.40
Year 4 FCFE = 2.3958 * 1.05 = $2.52
Year 5 FCFE= 2.51559 * 1.05 = 2.64
Terminal Value = (2.64 * 1.03) / (12% - 3%)
= $30.21
Now discount all these cashflows to find the value:
= (1.98 / 1.12) + (2.18 / 1.12²) + (2.40 / 1.12³) + (2.52 / 1.12⁴) + (2.64 / 1.12⁵) + (30.21 / 1.12⁵)
= $25.46