Answer:
The correct answer is "17.414 years".
Step-by-step explanation:
Given:
Doubling time,
= 7.5 years
As we know,
[tex]P(t) = P_oe^{rt}[/tex]
now,
⇒ [tex]2P_o=P_o e^{r\times 7.5}[/tex]
[tex]2 = e^{r\times 7.5}[/tex]
[tex]r = \frac{ln2}{7.5}[/tex]
[tex]=0.092[/tex]
[tex]=9.2[/tex]%
then,
⇒ [tex]P(t) = P_o e^{0.092 t}[/tex]
here,
[tex]P(t) = 5P_o[/tex]
hence,
⇒ [tex]5P_o = P_o e^{0.092 t}[/tex]
[tex]e^{0.092t}=5[/tex]
[tex]t = \frac{ln5}{0.092}[/tex]
[tex]=17.414 \ years[/tex]
Answer:
The correct answer is "17.414 years".
Step-by-step explanation:
Simplify |3 − 11| − (15 ÷ 3 + 2) 2
Find the square root of (2-36i)/(2+3i)
Answer:
[tex]-8-6i[/tex]
Step-by-step explanation:
[tex]\frac{2-36i}{2+3i} * \frac{2-3 i}{2-3i}[/tex]
-104-78i /13
-8-6i
The square root of (2-36i)/(2+3i) is √(112-66i)/13.
The given expression is [tex]\frac{2-36i}{2+3i}[/tex].
What is the square root?The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
Multiply both numerator and denominator by 2-3i.
Now, [tex]\frac{2-36i}{2+3i}\times\frac{2-3i}{2-3i}[/tex]
= [tex]\frac{(2-36i)(2-3i)}{(2+3i)(2-3i)}[/tex]
= [tex]\frac{(4-72i+6i-108i^2)}{4-9i^2}[/tex]
= [tex]\frac{(4-66i+108)}{4+9}[/tex]
= [tex]\frac{(112-66i)}{13}[/tex]
Now square root is √(112-66i)/13
Therefore, the square root of (2-36i)/(2+3i) is √(112-66i)/13.
To learn more about the square root of a number visit:
https://brainly.com/question/8971086.
#SPJ2
The entrance ticket for a carnival costs $89.97, which includes a royal meal
that costs $10.85, 1 play station game, and 3 water rides (Each water ride
costs the same price). The cost of a water ride is twice as that of a play
station game. Find the cost of a water ride. Estimate to the nearest tenths.
Subtract the meal:
89.97- 10.85 = 79.12
Let the play station game = x
A water ride is twice that so a water ride is 2x
There is 3 water rides : 3 x 2x =6x
The PlayStation game and water rides = 79.12
6x + x = 79.12
Simplify:
7x = 79.12
Divide both sides by 7:
X = 11.30
The PlayStation game is 11.30
The water ride = 2 x 11.30 = 22.60
Determine whether or not the given procedure results in a binomial distribution. If not, identify which condition is not met. Spinning an American roulette wheel 8282 times and recording the number the ball lands on.
Answer:
No, binomial distribution cannot be applied.
Step-by-step explanation:
We known that a Binomial Distribution depends on provided experiment , a binomial distribution have only 2 outcomes. For example, when we flip a coin in the air, then the possible outcomes are Head and Tail.
But in the context, an American roulette wheel has [tex]37[/tex] outcomes. It means when we spin the American Roulette wheel, ball may lend on any of the numbers between 0 to 36. So there are more than [tex]2[/tex] outcomes.
Therefore, binomial distribution can not be applied here.
Two angles of a triangle have the same measure.
If two sides have lengths 15 and 20, what is the
greatest possible value of the perimeter of the
triangle?
9514 1404 393
Answer:
55 units
Step-by-step explanation:
If two angles have the same measure, the triangle is isosceles. That means two sides have the same measure. Since the two given sides are different measures, the remaining side must be one of those. The perimeter will be greatest if the congruent sides are the longest. The greatest perimeter is ...
15 + 20 + 20 = 55 . . . units
Country Financial, a financial services company, uses surveys of adults age 18 and older to determine whether personal financial fitness is changing over time. A recent sample of 1000 adults showed 410 indicating that their financial security was more than fair. Just a year prior, a sample of 900 adults showed 315 indicating that their financial security was more than fair. Conduct the hypothesis test and compute the p-value. Round your answer to four decimal places. What is the 95% confidence interval estimate of the difference between the two population proportions? Round your answers to four decimal places.
Answer:
hey, how you're day going
Step-by-step explanation:
.................
cubed root of 8 to the power of x
Answer:
your answer is 2
Step-by-step explanation:
I hope this help
resolver utilizando la regla de clamer
Answer:
pordondede donde eres?
Step-by-step explanation:
........................
What is the slope of the line that passes through the points (-9, 8) and (–21, 10)?
Write your answer in simplest form.
Answer:
-1/6
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 10-8)/(-21 - -9)
= ( 10-8)/(-21 +9)
= 2 /-12
= -1/6
A student-faculty committee consisting of 6 members is to be chosen from a pool of candidates consisting of 5 students and 7 faculty members. The committee must have at least 2 student members and at least 1 faculty member. How many possibilities are there
Answer:
[tex]T=812[/tex]
Step-by-step explanation:
From the question we are told that:
No. Committee Members [tex]n=6[/tex]
Pool of : 5 students and 7 faculty members
At least 2 student members and at least 1 faculty member
Generally the committee is mathematically given by
The Total Events are
[tex]T=(^5C_2*^7C_4)+(^5C_3)*(^7C_3)+(^5C_4)*(^7C_2)+(^5C_5)*(^7C_1)[/tex]
[tex]T=350+350+105+7[/tex]
[tex]T=812[/tex]
A number increased by 100% and decreased by 20% is x. what is the number ? NEEDED TODAY
Answer:
Let's assume the number be 100.
According to the problem , 100 is increased by 100%.
So, new number will be 100+100=200
Now 200 will decreased by 20%.
So, 20% of 200= 0.20*200= 40.
So, again the number has been changed into 200+40=240.
So, x=240
Step-by-step explanation:
9514 1404 393
Answer:
x/1.6
Step-by-step explanation:
Let n represent the number. When n is increased by 100%, its new value is ...
n(1 +100%) = n(1 +1) = 2n
When this value is decreased by 20%, its new value is ...
(2n)(1 -20%) = (2n)(0.8) = 1.6n
This value is x, so the number is ...
1.6n = x
n = x/1.6 . . . . . . . divide both sides by 1.6
sample of 45 bottles of soft drink showed a variance of 1.1 in their contents. The process engineer wants to determine whether or not the standard deviation of the population is significantly different from 0.9 ounces. Using a significance level of 0.01, what are the critical values of the test
Answer:
The correct solution is "23.58 and 71.89".
Step-by-step explanation:
Given:
Sample,
n = 45
df = 45 - 1
= 44
then,
⇒ [tex]X_R^2 = X_{\frac{\alpha}{2},df }^2[/tex]
[tex]=71.89[/tex]
or,
⇒ [tex]X_L^2 = X_{1-\frac{\alpha}{2}, df }^2[/tex]
[tex]=23.58[/tex]
The volume of a gas with a pressure of 1.2 atm increases from 1.0 L to 4.0 L. What is the final pressure of the gas, assuming constant temperature?
(a) 1.2 atm
(b) 0.30 atm
(c) 3.3 atm
(d) 4.8 atm
(e) 1.0 atm
Answer:
(b) 0.30 atm
Step-by-step explanation:
Given data
Initial pressure= 1.2atm
Initial volume= 1.0L
Final volume= 4.0L
Final pressure= ???
Let us apply the gas formula to find the Final pressure
P1V1= P2V2
Substitute
1.2*1= x*4
Divide both sides by 4
1.2/4= x
x= 0.3atm
Hence the final pressure is 0.3 atm
WILL GIVE 25 POINTS FOR ANSWERING AND BRAINIER!!!
Which answer choice correctly complete the sentence?
Asking the “Did you Check” questions is an important step in the Problem Solving Plan because you can
A. determine if your answers are reasonable.
B. organize your thoughts.
C. understand the problem better.
D. define your strategy easier.
Answer:
A
Step-by-step explanation:
It just makes the most sense
SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the 88% confidence interval to 15 points, how many students should the administrator sample? Make sure to give a whole number answer.
Answer:
The administrator should sample 968 students.
Step-by-step explanation:
We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.88}{2} = 0.06[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a p-value of [tex]1 - 0.06 = 0.94[/tex], so Z = 1.555.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation of 300.
This means that [tex]n = 300[/tex]
If the administrator would like to limit the margin of error of the 88% confidence interval to 15 points, how many students should the administrator sample?
This is n for which M = 15. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]15 = 1.555\frac{300}{\sqrt{n}}[/tex]
[tex]15\sqrt{n} = 300*1.555[/tex]
Dividing both sides by 15
[tex]\sqrt{n} = 20*1.555[/tex]
[tex](\sqrt{n})^2 = (20*1.555)^2[/tex]
[tex]n = 967.2[/tex]
Rounding up:
The administrator should sample 968 students.
there were 578 tickets sold for a basket all game. the activity cardholder's tickets cost $1.25 and the non-cardholders' tickets cost $2.00. the total amount of money collected was $880.00. how many of each kind of ticket were sold?
9514 1404 393
Answer:
non-cardholder: 210cardholder: 368Step-by-step explanation:
Let n represent the number of non-cardholder tickets sold. Then total revenue is ...
2.00n +1.25(578 -n) = 880.00
0.75n + 722.50 = 880.00
0.75n = 157.50 . . . . . . . . . . . subtract 722.50
n = 210 . . . . . . . . . . . . . . . divide by 0.75. Number of non-cardholder tickets
578 -n = 368 . . . . . number of cardholder tickets
368 cardholder and 210 non-cardholder tickets were sold.
I need help answering this question asap
Answer:
Step-by-step explanation:
Abdul's gas tank is 1/3 full. After he buys 12 gallons of gas, it is 7/9 full. How many gallons can abdul's tank hold
Answer:
Abdul's tank can hold 27 gallons of gas.
Step-by-step explanation:
Given that Abdul's gas tank is 1/3 full, and after he buys 12 gallons of gas, it is 7/9 full, to determine how many gallons can Abdul's tank hold the following calculation must be performed:
1/3 = 0.3333
7/9 = 0.7777
0.777 - 0.333 = 0.444
0.444 = 12
1 = X
12 / 0.444 = X
27 = X
Therefore, Abdul's tank can hold 27 gallons of gas.
What is the product of (2x - 5)(2x + 5)2 ?
find the range of values of a for which 11- 2a>1 is ____
Answer:
a<5
Step-by-step explanation:
11-2a>1
-2a>1-11
-2a>-10
a<5
These two cones are similar. What is the value of x?
Answer:
A
Step-by-step explanation:
Given that the cones are similar then corresponding dimensions are in proportion, that is
[tex]\frac{12}{2}[/tex] = [tex]\frac{3}{x}[/tex] ( cross- multiply )
12x = 6 ( divide both sides by 12 )
x = 0.5 → A
Ryanair provides cheap flights in Europe but prides itself on their on-time record. Ryanair quotes a flight time of 2 hours, 5 minutes. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes.
What is the expected flight time in minutes?
Answer:
The expected flight time is 2 hours 10 minutes
Step-by-step explanation:
Given
[tex]a = 2\ hours[/tex]
[tex]b = 2\ hours\ 20\ mins[/tex]
Required
The expected flight time
To do this, we simply calculate the mean using:
[tex]Mean = \frac{a + b}{2}[/tex]
So, we have:
[tex]Mean = \frac{2\ hours + 2\ hours\ 20\ mins}{2}[/tex]
[tex]Mean = \frac{4\ hours\ 20\ mins}{2}[/tex]
[tex]Mean = 2\ hours\ 10\ mins[/tex]
Find the missing length indicated
Answer:
x = 960
Step-by-step explanation:
x=√{576×(576+1024)}
or, x = √(576×1600)
or, x = √576×√1600
or, x = 24×40
or, x = 960
Answered by GAUTHMATH
Answer:
Step-by-step explanation:
HELP OR IM GONNA FAIL pleasee!!!! Last one
What is the solution to the system of equations graphed below?
10
X= - x+2
y = 5x + 28
-10
Answer:
(-4,8)
Step-by-step explanation:
The solution to the system is where the lines intersect
The lines intersect at x=-4 , y = 8
(-4,8)
if you run 250 ft of cable and lose rate 3.6 dB how much rate you lose at 100 ft
Answer:
99
Step-by-step explanation:
99
equation that passes 1,3 and slope of 2 in point slope form
Answer:
y-3 = 2(x-1)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y-3 = 2(x-1)
Answer:
3=2x+1
Step-by-step explanation:
Use the equation y=mx+b
where y is the y component, x is the variable and b is the x intercept
HELP PLS I DONT KNOW THIS ONE
Answer:
1
-------------
(x+2)(x-4)
Step-by-step explanation:
x+4 x+3
------------- * --------------
x^2+5x+6 x^2 -16
Factor
x+4 x+3
------------- * --------------
(x+3)(x+2) (x+4)(x-4)
Cancel like terms
1 1
------------- * --------------
(1)(x+2) (1)(x-4)
1
------------- x cannot equal -3, -4, -2, 4
(x+2)(x-4)
Làm ơm giúp tôi giải bài tập kinh tế vi mô này với
Step-by-step explanation:
i don't know this language
If the probability that an event occurs is 0.5 , the probability that the event does not occur is
Answer:
0.5
Step-by-step explanation:
P(that an event occurs) = 0.5
P(that an event does not occur) = 1 - P(that an event occurs)
= 1 - 0.5
= 0.5
Answer:
It is also 0.5
Step-by-step explanation:
From independent events:
[tex]{ \bf{p + q = 1}}[/tex]
p is probability for an event to occur (success).
q is probability for an event not to occur (failure).
[tex]{ \tt{0.5 + q = 1}} \\ { \tt{q = 1 - 0.5}} \\ { \tt{q = 0.5}}[/tex]
The lengths of two sides of the right triangle ABC shown in the illustration given
a= 7cm and b= 24cm
Answer:
25 cm.
Step-by-step explaination:
Given,
Two sides of a triangle:
a = 7cm
b = 24 cm
To find,
Third side:
c = ?
By Pythagorean Theorem;
a² + b² = c²
[where c is the longest side,hypotenuse]
Putting the value of a and b;
we get,
7² + 24² = c²
49 + 576 = c²
625 = c²
25² = c² (square root)
25 = c
c = 25
Therefore, the length of the third side will be equal to 25 cm.
The lengths of two sides of the right triangle ABC shown in the illustration given
a= 7cm and b= 24cm
Given,> a= 7cm
> b= 24cm
To find?Side c (third side)
Solution:-Using Pythagoras theorem,
▶️ a² + b² = c
▶️ 7cm ² + 24cm² = c²
▶️ 49cm + 576cm = c²
▶️ 625cm = c²
▶️ 25² = c² (25×25 = 625)
▶️ c = 25
The value of c is 25 cm.
