Answer:
It takes 7.37 hours for the size of the sample to double.
Step-by-step explanation:
Continuous exponential growth model:
The continuous exponential growth model for populations is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate parameter, as a decimal.
Growth rate parameter of 9.4% per hour.
This means that [tex]r = 0.094[/tex]
So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]P(t) = P(0)e^{0.094t}[/tex]
How many hours does it take for the size of the sample to double?
This is t for which P(t) = 2P(0). So
[tex]P(t) = P(0)e^{0.094t}[/tex]
[tex]2P(0) = P(0)e^{0.094t}[/tex]
[tex]e^{0.094t} = 2[/tex]
[tex]\ln{e^{0.094t}} = \ln{2}[/tex]
[tex]0.094t = \ln{2}[/tex]
[tex]t = \frac{\ln{2}}{0.094}[/tex]
[tex]t = 7.37[/tex]
It takes 7.37 hours for the size of the sample to double.
What is m∠1 in this ixl
Answer:
m<1 = 137
Step-by-step explanation:
Exterior angles thm:
41 + 96 = m<1
m<1 = 137
What is the answer to: 20 - 6x = 4x -15 = ?
Answer:
20 - 6x = 4x - 15
35 - 6x = 4x
35 = 2x
x = 15.5
The solution to the equation 20 - 6x = 4x -15 is x = 3.5.
To solve the equation 20 - 6x = 4x - 15,
20 - 6x = 4x - 15
To isolate the variable terms on one side, add 6x to both sides:
20 - 6x + 6x = 4x - 15 + 6x
20 = 10x - 15
Next, add 15 to both sides to further isolate the variable term:
20 + 15 = 10x - 15 + 15
35 = 10x
Finally, divide both sides by 10 to solve for x:
35/10 = 10x/10
3.5 = x
Therefore, the solution to the equation is x = 3.5.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ6
rewrite the expression using sixths 1 1/3 - 1/2 = 4/3 - 1/2
Answer:
8-3=8-3
Step-by-step explanation:
Simplify the expression:
3(2+8p)
A. 6+24p
B. 30p
C. 3(10p)
D. 6p+24
Answer:
A. 6+24p
Step-by-step explanation:
=(3)(2+8p)
=(3)(2)+(3)(8p)
=6+24p
=24p+6
t the following in order for the most area in the tails of the distribution. (a) Standard Normal Distribution (b) Student's t-Distribution with 5 degrees of freedom. (c) Student's t-Distribution with 20 degrees of freedom. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) Choose the correct answer below. (c), (a), (b) (b), (c), (a) (b), (a), (c) (a), (c), (b) (a), (b), (c)
Answer:
(b), (c), (a)
Step-by-step explanation:
The Most area in the tails of the distribution can be ordered as :
Student t-distribution with 5 degrees ( b ) Student's t-distribution with 20 degrees ( c )Standard Normal Distribution ( a )T-distribution is a continuous probability distribution that is applied when the population is small and when the population standard deviation is not given
For the following geometric sequence, find the recursive formula.
[-80, 20, -5, ...}
URGENT! I will brainlist the correct first answer
Answer:
-25p
Step-by-step explanation:
Charlotte is a customer-satisfaction expert at a large pizza company. She took a random sample of 1,000
delivery orders and constructed a one-sample z interval to estimate the proportion of delivery orders that take
more than an hour to arrive. She decides to repeat this process, but this time she'll use a sample of 4,000 orders.
Assume that the point estimates from each sample are approximately equal.
What is true about the margins of error from these two samples?
The margin of error from the smaller sample will be about
select ratio v
the margin of error from the
larger sample.
Answer:
2 times
Step-by-step explanation:
Khan Academy
You can use the formula for margin of error and the fact that the point estimates of both the samples are same to calculate the ratio of margin of errors of both the samples.
The margin of error from the smaller sample will be about double of the margin of error from the larger sample.
[tex]MOE_1 = 2 \times MOE_2[/tex]
How to calculate the margin of error for a given sample from a population?Let the level of significance be [tex]\alpha[/tex] and the standard deviation of the population be [tex]\sigma[/tex] and the sample size be n, then we have:
[tex]\text{MOE(Margin of Error)} = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}[/tex]
Using the above formula to calculate the margin of errors for two specified samplesFor first sample :
[tex]\text{Sample size} = n_1 = 1000\\\\MOE_1 = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{1000}}[/tex]
For second sample :
[tex]\text{Sample size} = n_1 = 1000\\\\MOE_2 = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{4000}}[/tex]
(since it was given that they have same point estimates, so same standard deviation)
Their ratios are given by
[tex]\dfrac{MOE_2}{MOE_1} = \dfrac{Z_{\alpha/2}\dfrac{\sigma}{\sqrt{4000}}}{Z_{\alpha/2}\dfrac{\sigma}{\sqrt{1000}}} = \sqrt{\dfrac{1000}{4000}} = \dfrac{1}{2}\\\\\\MOE_1 = 2 \times MOE_2[/tex]
Thus,
The margin of error from the smaller sample will be about double of the margin of error from the larger sample.[tex]MOE_1 = 2 \times MOE_2[/tex]
Learn more about margin of error here:
https://brainly.com/question/13990500
Without calculating, which pyramid has the greater surface area? Explain
Answer:
Pyramid on the left
Step-by-step explanation:
It has bigger measurements and looks much bigger and wider than the one on the right.
Find Arc ABC pls I need help
Step-by-step explanation:
Arc AD = 70
< D = 98
So
Arc BC = 2 * < D ( relation between arc and inscribed angle)
= 2 * 98
= 196
Hope it will help :)❤
Factor Зу2 - 4у.
y(4 - Зу)
y(Зу - 4)
y(4y-3)
Find the area of the figure. HELP PLZ
Answer: 1075 sq. ft
Step-by-step explanation:
A = length times width
First split the shape into two rectangles
Area of rec 1 = 25 times 8 = 200
Area of rec 2 = 35 times 25 = 875
200+875 = 1075 sq. ft
I need help with these, the answer options are as follows: always true, sometimes true, never true
Thank you!!
PLEASE HELP ME OUT IXL !! PLEASE GEOMETRY
Answer:
131
Step-by-step explanation:
Sorry but I am not conform to this answer
find the absolute maximum absolute minimum of the function F(x)=(x^2-12x+32)^(1/3) on the interval [3,10]
9514 1404 393
Answer:
minimum: -∛4 ≈ -1.58740maximum: ∛12 ≈ 2.28943Step-by-step explanation:
The expression under the radical can be written in vertex form as ...
x^2 -12x +32 = (x -6)^2 -4
The function will be symmetrical about x=6. The minimum is at x=6 where we have ...
F(6) = ∛(-4)
The maximum is at the end of the interval farthest from the vertex, so is ...
F(10) = ∛((10 -6)² -4) = ∛12
The minimum is -∛4 ≈ -1.587; the maximum is ∛12 ≈ 2.289.
Which equation best represents the
statement below?
y is seven greater than the product of x
and negative five.
PLEASE I NEED THIS IN LESS THAT 2 MINUTES!!
Answer:
[tex]y=-5x+7[/tex]
Please mark brainliest!Drag each number from the box to complete the equations that follow. Each number may be used once, more than once, or not at all.
(36÷__) − (36 ÷__ )=5
(__× 3) − __ =12
these are the choices 12 8 9 and 4
Answer:
(36/4)-(36/9)=5
(8*3)-12=12
Answer:
(36÷4) - (36÷9) = 5
(8x3) - 12 = 12
Solve for x to the nearest degree.
Answer:
Using Pythagoras Theorem, squareroot 15^2 - 5^2.
After you found the opposite length, use the cosine rule to find angle x.
What is greater 3 or -2.5
Answer:
3
Step-by-step explanation:
Find the properties of each Quadratic Function
Answer:
1.) up
2.) (-2,-5)
3.) x = -2
4.) (-2,-5)
5.) y = -5
6.) -∞ < x < ∞
7.) -5 < y < ∞
8.) (0,0)
9.) (0,0) and (-4,0)
10.) two solutions
Step-by-step explanation:
1.) because the parabola opens upward and the vertex is down
2.) the lowest point of the parabola is (-2,-5)
3.) If a line was drawn through the point x = -2, the two halves of the parabola would look symmetrical ( the same on both sides).
4.) The minimum point on the graph is ( -2,-5), because that is the lowest point on this upward parabola, and we can not determine the maximum.
5.) The minimum value of y is y = -5, because that is the lowest value of y on this graph, and we can not determine the maximum.
6.) Because the arms of the parabola continue traveling through negative infinity and positive infinity on the x-axis, the domain is -∞ < x < ∞.
7.) The arms of the parabola go from y = -5 to infinity, so the range of the parabola is -5 < y < ∞.
8.) The parabola first crosses the y-axis at the point (0,0)
9.) The parabola first crosses the x-axis at the points (0,0) and (-4,0)
10,) The solution to the parabola is the variable x. The solutions (x intercepts) of the parabola are x = 0 and x = -4.
Does this help you?
Find Angle C!!
Thankyou
I really need help
Answer:
180-146=34 146+34=180
Step-by-step explanation:
What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n= 8? O 122 - 6+ 10; when n= 8, the value is 8. 12 O B- 6- 5+10; when n = 8, the value is 12. 02-6+10; when n = 8, the value is 11. O 6-9 +10, when n = 8, the value is 9
Answer:
the answer is 8
Step-by-step explanation:
the expression is written as (n/2 - 6)+ 10
therefore when n=8..
(8/2 - 6) + 10
we now have, (4-6)+10
(-2)+10=8...
A copy machine makes 136 copies in 4 minutes and 15 seconds. How many copies does it make per minute?
Answer:
The copy machine makes 32 copies per minute.
Step-by-step explanation:
Given that a copy machine makes 136 copies in 4 minutes and 15 seconds, to determine how many copies does it make per minute, the following calculation must be performed:
15 seconds = 0.25 minutes
136 / 4.25 = X
32 = X
Therefore, the copy machine makes 32 copies per minute.
I have three car traveled 70 miles from a starting point the car was still at least 500 miles from the end of the trip which is equality represents the total distance do you of a trip from the starting point to the end?
Answer:
x≥500+70
Step-by-step explanation:
Solve. Between [0, 2pi]
2cos^2x+7cosx+3=0
9514 1404 393
Answer:
x = {2π/3, 4π/3}
Step-by-step explanation:
The equation can be factored as ...
(cos(x) +3)(2cos(x) +1) = 0
The solutions are the values of x where the factors are zero.
cos(x) +3 = 0
cos(x) = -3 . . . . . . no real solution
__
2cos(x) +1 = 0
cos(x) = -1/2
x = arccos(-1/2) = 2π/3
The other solution in the desired interval is ...
x = 2π -(2π/3) = 4π/3
The solutions are x∈ {2π/3, 4π/3}.
Billy drove 192.5 miles at an average speed of 55 miles per hour. The statement shown represents this situation.
55h = 192.5
What was the total number of hours, h, it took Billy to drive this distance?
A. 4.5
B. 4
C. 3.5
D. 3
Answer:
C) 3.5 hours
Step-by-step explanation:
55h = 192.5
55h/55 = 192.5/55
h = 3.5 hours
Katie has $600 in a savings account that earns 5% annually. The interest is not compounded. How much interest will she earn in 1 year ?
Answer:
$30
Step-by-step explanation:
The formula for interest is I = Prt
Principal = 600
Rate = 0.05 or 5%
Time: 1 year
600 x 0.05 x 1 = 30
She earned an interest of 30.
What is the perimeter of the figure?"
9514 1404 393
Answer:
46 yd
Step-by-step explanation:
The sum of horizontal lengths across the top is 8+6 = 14 yd. The length across the bottom is the same, so the total of horizontal lengths is
14 yd +14 yd = 28 yd
The sum of vertical lengths at the right is the same as the sum of vertical lengths at the left, 9 yd, so the total of vertical lengths is ...
9 yd + 9 yd = 18 yd
The total of all lengths around the perimeter of the figure is ...
28 yd + 18 yd = 46 yd
Darby’s Breakfast table an square tabletop what are your area of 36 ft.²
Answer:
Diagonal length = 8.59
Step-by-step explanation:
To find the diagonal length, we need the length of the sides. We find the length of the sides by finding the square root of 36, which is 6. Then, we use this equation (see attached image)
Been stuck for the longest
Answer:
Since 2√7 = 5.29, move the circle over to the third dash after the five.
Step-by-step explanation:
Since 2√7 = 5.29, move the circle over to the third dash after the five.