Answer:
The rate of exponential growth of a bacterial culture is expressed as generation time, also the doubling time of the bacterial population. Generation time (G) is defined as the time (t) per generation (n = number of generations). Hence, G=t/n is the equation from which calculations of generation time (below) derive.
You enter an online cooking tournament. The entry fee is $16, and the entrants make the recipes at home and vote for their favorite, which cannot be their own recipe. The top 3 finishers win money. First place wins $58, and second place wins $47. Third place wins $5. You give yourself an X chance of finishing in the top 3, and if you finish top 3, then you have an equal chance of finishing first, second, or third. What is X such that entering this tournament is a fair gamble for you. A fair gamble is one where the expected value of entering the tournament is $0.
Answer:
X = 0.5714
Step-by-step explanation:
entry fee = $16
price for first place = $58. Net win = $58 - $16 = $42
price for second place = $47. Net win = $47 - $16 = $21
price for third place = $5. Net win = $5 - $16 = -$11 ( loss ) hence third position is not a fair gamble
Net loss for the rest = -$16
Given that
P(1st place ) = P( 2nd place ) = P(third place ) = X/3
P( rest ) = 1 - X
Hence the E(profit )
= 42 * X/3 + 37 * X/3 - 11 * X/3 - 16* ( 1 - X )
= 42X / 3 + 37X / 3 - 11X / 3 - 16 + 16X
= 68 X / 3 + 16X - 16
= 84X / 3 - 16 = 28x - 16
hence : 28X - 16 = $0 is a fair gamble
X = 16 / 28 = 0.5714
.
Write the expression in exponential form, and then evaluate
0.75x 0.75x 0.75
=
Answer:
3
.75
the solved version would be .421875
the numbers on top are translated in English to .75 to the power of 3.
Step-by-step explanation:
I'm pretty sure this is correct
In a recent study of 35 ninth-grade students, the mean number of hours per week that they played video games was 16.6. The standard deviation of the population was 2.8.
a. Find the best point of estimate of the population mean
b. Find the 95% confidence level of the mean of the time playing video games
c. Find the 99% confidence interval of the mean time playing video games
d. Which is larger? Explain why.
Answer:
a) 16.6
b) The 95% confidence level of the mean of the time playing video games is between 15.7 and 17.5 hours.
c) The 99% confidence level of the mean of the time playing video games is between 15.4 and 17.8 hours.
d) The margin of error increases as the confidence level increases, due to the value of z, which means that the 99% confidence interval is larger.
Step-by-step explanation:
a. Find the best point of estimate of the population mean
The best estimate for the population mean is the sample mean, which is 16.6
b. Find the 95% confidence level of the mean of the time playing video games
We have that 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 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
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.
[tex]M = 1.96\frac{2.8}{\sqrt{35}} = 0.9[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 16.6 - 0.9 = 15.7 hours
The upper end of the interval is the sample mean added to M. So it is 16.6 - 0.9 = 17.5 hours
The 95% confidence level of the mean of the time playing video games is between 15.7 and 17.5 hours.
c. Find the 99% confidence interval of the mean time playing video games
Following the same logic as above, we have that [tex]Z = 2.575[/tex]. So
[tex]M = 2.575\frac{2.8}{\sqrt{35}} = 0.9[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 16.6 - 1.2 = 15.4 hours.
The upper end of the interval is the sample mean added to M. So it is 16.6 + 1.2 = 17.8 hours.
The 99% confidence level of the mean of the time playing video games is between 15.4 and 17.8 hours.
d. Which is larger? Explain why.
The margin of error increases as the confidence level increases, due to the value of z, which means that the 99% confidence interval is larger.
The mean is 16.6, 95% confidence interval is between 15.68 to 17.52, the 99% confidence interval is between 15.39 to 17.81, and the 99% confidence interval is larger.
It is given that the in recent study of 35 ninth-grade students the mean number of hours per week is 16.6 with standard deviation of the population was 2.8.
It is required to find the best point of estimate of the population mean, 95% confidence interval, and 99% confidence interval.
What is a confidence interval for population standard deviation?It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
We have confidence level = 95% = 0.95
We know:
[tex]\alpha = \frac{1-0.95}{2}[/tex] = 0.025
[tex]\rm Z_1 _-_\alpha = Z_{0.975} = 1.96[/tex] (from the Z table)
The sample size n = 35
We know the Margin of error formula:
[tex]\rm M =Z\frac{\sigma}{\sqrt[]{n} }[/tex] ( [tex]\rm \sigma\\[/tex] = 2.8 )
[tex]\rm M =1.96\frac{2.8}{\sqrt[]{35} }[/tex]
M = 0.92
The 95% interval will be:
= X - M ⇒ 16.6 - 0.92 ⇒15.68
= X+ M ⇒ 16.6+0.92 ⇒ 17.52
For 99% confidence level:
[tex]\alpha = \frac{1-0.90}{2} = 0.005[/tex]
[tex]\rm Z_1 _-_\alpha = Z_{0.005} = 2.575[/tex] (from Z table)
[tex]\rm M =2.575\frac{2.8}{\sqrt[]{35} }[/tex]
M = 1.21
The 99% interval will be:
=16.6 - 1.21 ⇒ 15.39
= 16.6+ 1.21 = 17.81
As the value of M increases the confidence value increases due to the value of Z that means 99% confidence interval is larger.
Thus, the mean is 16.6, 95% confidence interval is between 15.68 to 17.52, the 99% confidence interval is between 15.39 to 17.81, and the 99% confidence interval is larger.
Learn more about the confidence interval here:
brainly.com/question/6654139
Help fast please....
Answer:
46 yd²
Step-by-step explanation:
Which of the following is not a valid triangle congruence theorem?
URGENT!!! WHOEVER GETS THIS CORRECT FIRST GETS BRAINLEST!!
Explanation:
I suggest using a calculator for this. The height is 4in, correct? And the width is 13in, correct? I suggest multiplying 13 and 4 together. if you got 52 then you are on the right track with this. The top and bottom of this perimeter is 13in each and the height on the left and right is 4in. 4 times 4 is 16. and 13 times 13 is 169. Sometimes people add 169 to 16 to get the answer but that is the wrong answer.
Answer:
The answer to this question is,
13 * 2 = 26
4 * 2 = 8
26 * 8 = 208
{-I apologize if i did the math wrong-}
hello I need help to past this test on math:
(more than one answer)
Which of the following is part of the set of integers?
1. negative whole numbers
2. zero
3. natural numbers
4. positive whole numbers
what are the answers (more than one) 1,2,3,or 4?
(u dont need an explanation)
All of the choices (1 , 2 , 3 and 4) are correct
Evaluate each expression.
I got a screenshot, You got answer
Answer:
A. [tex]V = (pi)(3.25)^2(12)[/tex]
Step-by-step explanation:
The formula for the volume of a cylinder is the formula for the area of the circle, times the height of the cylinder. The formula for the volume of a circle is,
[tex]A = (pi)(r)^2[/tex]
Multiply that by the height to find the formula for the volume of a cylinder,
[tex]V=(pi)(r)^2(h)[/tex]
Where (pi) represents the value (3.1415), (r) represents the radius, and (h) represents the height of the cylinder. Now substitute in the given values, remember, this problem gives the diameter of the cylinder, divide that value by two to find the radius.
[tex]V=(pi)(\frac{6.5}{2})^2(12)\\\\V = (pi)(3.25)^2(12)[/tex]
The measure of A is 90°. Angles A and B are supplementary. What is mB?
A. 0°
B. 90°
C. 110°
D. 180°
Answer:
B. 90
Step-by-step explanation:
Since the two angles are supplementary, this means they both are on a flat line (180 degrees)
Since both A and B add up to 180, we take that number and subtract A (90) to get our answer: 90 degrees
look at the picture. please please help im stuck.
Answer:
7 is greater than or equal to x.
Answer:
Hey I’m not sure but I think it’s A
Step-by-step explanation:
plzz help fast i will do 20 points
Answer:
b
Step-by-step explanation:
if n = 4, then 4 + 3 = 7
Answer: B.) n+3=7
Step-by-step explanation:
a.) 2(4)=6
8=6 (wrong)
b.) 4+3=7
7=7 (right)
c.) 9-4=13
5=13 (wrong)
d.)4/12=3
0.33=3 (wrong)
ayuda plis es para hoy
Answer:
La respuesta es la que dice 0.4
Step-by-step explanation:
Por que si cuentas desde el 0 cuentas 1 2 3 4 entonces es 0.4 espero haberte ayudado coronita plis :(
Phil mows lawns during the summer to earn money for college. He makes $50 per mowed lawn. How many lawns must Phil mow to make at least $1,000? Question 18 options: A) At most 20 lawns B) At least 20 lawns C) At most10 lawns D) At least 10 lawns
Answer:
20 lawns
Step-by-step explanation:
$1000 divided by $50 = 20
What is the perimeter of the trapezoid?
Answer:
30 i think
Step-by-step explanation:
COULD SOMEONE HELP ME WITH C? I NEED TO TURN THIS IN ASAP
Carpets Plus has five square carpet remnants. Two of the remnants measure 8 feet on a side, and three of the remnants measure 10 feet on the side. Which expression represents the total square footage of the five carpet remnants? whats the answers
2× 102) + (3 × 82)
82 + 103
5(8 + 10)2
(2 × 82) + (3 × 102)
True or False.
The expressions 3+y and 13(6+y) are equivalent?
True
False
Answer:
False
Step-by-step explanation:
Brainliest please?
Sofia says that 1/3⋅1/3⋅1/3⋅1/3=4/3
Answer:
false
Step-by-step explanation:
Sofia is wrong; 1/3 · 1/3 · 1/3 · 1/3 = 11/12.
please help me with this :) thankss
Answer:
multiply all which would be 110
Step-by-step explanation:
In the expression “six to the power
of four is 1,296," which number is the
base?
HELP ASAP PLZ DONT GUESS THIS DEPENDS ON MY LIFE FRR(graph in pic)
If Sheila rotates triangle PQR 90° counterclockwise to form triangle LMN, what is the measure of angle MNL?
A.130 °
B.100 °
C.50 °
D.30 °
Answer:
30
Step-by-step explanation:
This is a bit nasty, but you must keep the order in mind. PQR means that Q is the middle letter. M is also the middle letter. That's the easy part. What does MNL mean?
The lettering goes clockwise. MNL is the same thing as QRP. So what is R?
50 + 100 + R = 180
150 + R = 180
R = 180 - 150
R = 30
x−8<−1
Can someone plz tell me the answer
Answer:
Step-by-step explanation:
you have to add 8 in both sides
x-8<-1
x-8+8<-1+8
x<7
Answer:x<7
Step-by-step explanation:
Step 1: Add 8 to both sides.
x−8+8<−1+8
x<7
hey guys i need some help on this division problem i have
Answer:
3. 25/28
4. 1 1/7
Step-by-step explanation:
when you divide fractions just flip one of them and then multiply across
so instead of 5/7 ÷ 4/5 its
5/7 • 5/4
please mark me brainliest to help me get ace rank
Pls answer it will help a ton!
Answer:
Graph.
The graph shows 6 texts an hour, but should show 12 texts an hour.
How many faces does the following shape have?
Answer:
5
Step-by-step explanation:
the back ones 2
the front ones 2
and the bottom one 1
5
What is the equation of the graphed line written in standard form?
Answer:
y=-3 is the correct answer
I need help I don’t understand
Answer: CA= 13.5
Step-by-step explanation:
tan 64 = CA/6.6
2.05 = CA/6.6
CA = 13.5
Ta-Da!
PLSSS HELP DUE IN 5 MINUTES!!!!
PLEASE DO NOT ANSWER JUST FOR POINTS!!!
LOOK AT THE IMAGE FOR THE QUESTIONS AND ANSWERS
NOTE: The first answer “(0,9)” is incorrect I tried and it was wrong so please it’s either (9,0) or (3,0)
Answer:
I think it's (0,3) sorry if it not
Answer:
(3, 0)
Step-by-step explanation:
The vertex point is 3 units to the right of the origin, making the x-coordinate 3, but it doesn’t move up or down, meaning that the y-coordinate is 0.
so it’s (3,0)
Btw, the vertex is the point of the parabola where it’s the minimum or maximu (minimum in this case). You answered for the y-interceptm which is where the parabola touches the y-axis.
I need help with this !!!
Answer:
no it cannot be
Step-by-step explanation:
because :
2/10 equals to 10/2 So 6/10 ÷ 2/10 =6/10×10/2
6×10=60
10×2=20 after reducing the fraction its 3/1