9514 1404 393
Answer:
1a. E = 5×1.59^t
1b. 32 GWh
1c. 1986
Step-by-step explanation:
1a. An exponential model looks like
f(t) = a·b^t
where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.
Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...
E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.
__
1b. For t=4, we have ...
E = 5·1.59^4 ≈ 31.96 ≈ 32
About 32 GWh was generated in 1984.
__
1c. The value of t for a given value of E is ...
E/5 = 1.59^t . . . . divide by 5
log(E/5) = t·log(1.59) . . . . take logarithms
t = log(E/5)/log(1.59) . . . . divide by the coefficient of t
For E = 80, the years after 1980 are ...
t = log(80/5)/log(1.59) ≈ 5.98
About 80 GWh were generated in 1986.
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.
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 = 4000₅Edge Precalculus End Behavior of Limits
Answer:
ereee
Step-by-step explanation:
Answer:
c.
g(x)=-3/x
Step-by-step explanation:
PLEASE HELP!
In 2-3 sentences describe why the only way an infinite geometric series has a sum is if |r| < 1.
points: here answer 3b+10
Answer:
3b+10
Step-by-step explanation:
The expression is not factorable with rational numbers.
3b+10
Please help! Like please.
The answer is letter H
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
Question in link. Please help :(
Answer:
The median
Step-by-step explanation:
It uses all the added numbers as one
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
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 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 y’all help me solve this?
Can someone help me out with this?? It’s due soon...
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:
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
Help me plzzzzz euebdmso
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
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?
Due today! Why did the "Martian" need a special suit to visit Earth?
Answer:
But Mars has no magnetosphere, and its atmosphere is over 100 times thinner than Earth's atmosphere. The trip to Mars and the stay on Mars will mean extended radiation exposure. Astronauts will need special habitats, suits, and machines that will protect them from radiation, which otherwise could cause cancer.
Step-by-step explanation:
please look at my last couple questions!! 50% of my grade
NO LINKS
Solve 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
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
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
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:
Someone please answer this correctly
Answer:
The answers would be 3 & 4 ^_^ .
Step-by-step explanation:
Hope it was helpful .
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
∠A and \angle B∠B are complementary angles. If m\angle A=(x+10)^{\circ}∠A=(x+10)
∘
and m\angle B=(3x+28)^{\circ}∠B=(3x+28)
∘
, then find the measure of \angle B∠B.
Answer:
x + 10 + 3x + 28 = 90
4x = 52
x= 13
Step-by-step explanation:
Angle B = 67
0.8km need to be convert into hour an minute please help
Answer:
It is not possible
Step-by-step explanation:
Required
Convert 0.8km to hours and minutes
One of the condition for a successful conversion is that: only units of the same metric can be converted.
i.e.
Meters can be converted to feet (they both measure distance)
Days can be converted to years (they both measure time)
Pounds can be converted to grams (they both measure weight)
But in the given question, you attempt to convert from distance to time.
This is not possible, because time and distance are different measurements
Kathryn is 1.6 meters tall. Convert her height to feet. Round to the nearest tenth.
Answer:
1.6 m = 5.3 ft
(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: