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Answer:

Step-by-step explanation:

A sample of bacteria is decaying according to the half-life model f(t) = Ne -0.226t, where N is the initial sample size and t

is time in hours. At t = 4, there are 25 bacteria remaining. What was the initial sample amount? Round your answer to the

nearest whole number, and do not include units.

Answer:

the maximum number of containers that the ship can load is 170

Step-by-step explanation:

Given the data in the question;

W ~ N( 600, 60 )

S ~ N( 4n, 0.4√n )

so

p( W > S ) = 0.90

⇒ P( W - S > 0) = 0.9 ------ let this be equation 1

now, since W and S are independent

Mean( W - S ) = Mean( W ) - Mean( S 0 = 600 - 4n

and

SD( W - S ) = √( var(W) + var(S) ) = √( 60² + 0.4²n)

hence;

W - S ~ N( 600 - 4n, √( 60² + 0.4²n) )

now, from equation one, P( W - S > 0) = 0.9

[tex]P( \frac{(W-S)-Mean(W-S)}{SD(W-S)} > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]

[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]

from z- table

[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = P( z >-1.282)[/tex]  

[tex]\frac{4n - 600}{\sqrt{60^2 + 0.4^2n} } = -1.282[/tex] ------------------ let this be equation 2

now, we square both sides of equation 2

[tex]\frac{(4n - 600)^2}{60^2 + 0.4^2n} } = (-1.282)^2[/tex]  

[tex]\frac{(4n - 600)(4n-600)}{3600 + 0.16n} } = 1.643524[/tex]

we cross multiply

16n² + 360000 - 4800n = 1.643524( 3600 + 0.16n )

16n² + 360000 - 4800n = 5916.6864 + 0.26296384n

16n² + 360000 - 5916.6864 - 4800n - 0.26296384n = 0

16n² + 354083.3136 - 4800.26296384n = 0    

16n² - 4800.26296384n + 354083.3136 = 0  

solving the quadratic equation, we know that;

x = -b±√( b² - 4ac ) / 2a

so we substitute

x = [-(-4800.26296384) ±√( (-4800.26296384)² - (4 × 16 × 354083.3136)] / [2×16]

x = [ 4800.26296384 ±√( 23042524.522 - 22661332.0704 ] / 32

x = [ 4800.26296384 ±√(381192.4516) ] / 32

x = [ 4800.26296384 ± 617.4078 ] / 32

Hence;

x = [ 4800.26296384 - 617.4078 ] / 32 or  [ 4800.26296384 + 617.4078 ] / 32

x = 131   or  170

Therefore, the maximum number of containers that the ship can load is 170

Answer:

x = 2 and y = 1

Step-by-step explanation:

First, solve for y by substituting the second equation as x into the first equation

-2x - 3y = -7

-2(y + 1) - 3y = -7

Simplify and solve for y

-2y - 2 - 3y = -7

-5y - 2 = -7

-5y = -5

y = 1

Solve for x by plugging in 1 into the second equation

y + 1 = x

1 + 1 = x

2 = x

So, the answer is x = 2 and y = 1

Answer:

-10

Step-by-step explanation:

Answer:

- 10

Step-by-step explanation:

- √100

= - 10

( - 10 is a real number )

Answer:

24

Step-by-step explanation:

I'm pretty sure that it would be division so 120 divided by 5 is 24

Answer:

y= -1/4x

Step-by-step explanation:

Answer:

x = -24

a = 11

Step-by-step explanation:

So for the first one:

[tex]-\frac{1}{4} x+6=\frac{2}{3} x+28[/tex]

Multiply both sides of the equation by 12

[tex]-3x+72=8x+336[/tex]

Subtract 8x from both sides

[tex]-11x+72=336[/tex]

Subtract 72 from both sides

[tex]-11x=264[/tex]

Divide both sides by -11

[tex]x=-24[/tex]

And the second one...

[tex]2(a-2)=3(a-5)[/tex]

Distribute the 2 to the (a - 2) and the 3 to (a - 5)

[tex]2a-4=3a-15[/tex]

then add 15 to both sides

[tex]2a+11=3a[/tex]

Subtract 2a from both sides

11 = a

Answer:

The circle should appear inside the triangle.

Answer:

2

Step-by-step explanation:

ed

Answer:

B

Step-by-step explanation:

y = -9x - 1

You need a value that will make y = 0

-9x - 1 = 0             Add 1 to both sides

-9x = 1                   Divide by - 9

x = 1/-9

The answer is B

Answer:

1 and 3, 2 and 4, 1 and 2, 3 and 4

5 and 7, 6 and 8, 5 and 6, 7 and 8

Step-by-step explanation:

Answer:

8/17 or 47% or .47

Step-by-step explanation:

8 of them are blue or green and there are 17 total. So 8 out of 17 (8/17) are likely to be spun

The required probability is 8/17 that the spinner lands on blue or green.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given that the circular spinner is split into 17 equal-sized sections. There are six red sectors, six blue sectors, three yellow sectors, and two green sectors.

The total number of outcomes. = 6 + 6 + 3 + 2

So n(S) = 17

Number of favorable outcomes i.e. (blue+green), n(E) = 6 + 2 = 8

Consider the experiment of once spinning the spinner.

The probability of the spinner landing on blue or green will be

⇒ P(E) = n(E)/n(S)

⇒ P(E) = 8/17

Therefore, the required probability is 8/17 that the spinner lands on blue or green.

Learn more about the probability here:

brainly.com/question/11234923

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Answer:

9 is Q3

Step-by-step explanation:

1,1,3,4,4,4,8,9,13,15

3 is Q1

4 is Q2 (median)

9 is Q3

The upper quartile for the given data set is 3.

In statistics, a quartile is a type of quantile which divides the number of data points into four parts, or quarters, of more-or-less equal size. The data must be ordered from smallest to largest to compute quartiles; as such, quartiles are a form of order statistic.

Given is a data as given below -

1,1,3,4,4,4,8,9,13,15

The first quartile Q1 is the 25th percentile. It is also called as the upper quartile. So, we can say that that the upper quartile is 3.

Therefore, the upper quartile for the given data set is 3.

To solve more questions on quartiles, visit the link-

https://brainly.com/question/9260741

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Answer:

She will work 6.67 hours at the low paying job and 13.33 hours at the high paying job

Step-by-step explanation:

Given

[tex]x = Low\ pay\ job[/tex]

[tex]y = high\ pay\ job[/tex]

From the question, we have that:

She can only work for 20 hours.

This implies that:

[tex]x + y= 20[/tex]

To work 2ce as many hours at the high paying job than the low paying job; implies that:

[tex]y = 2x[/tex]

So, we have:

[tex]x + y= 20[/tex]

[tex]y = 2x[/tex]

Required

Number of hours at each job

Substitute [tex]y = 2x[/tex] in [tex]x + y= 20[/tex]

[tex]x + 2x = 20[/tex]

[tex]3x =20[/tex]

Solve for x

[tex]x = \frac{20}{3}[/tex]

[tex]x = 6.67[/tex]

Substitute [tex]x = \frac{20}{3}[/tex] in [tex]y = 2x[/tex]

[tex]y = 2 * \frac{20}{3}[/tex]

[tex]y = \frac{40}{3}[/tex]

[tex]y = 13.33[/tex]

She will work 6.67 hours at the low paying job and 13.33 hours at the high paying job

Answer: ill take care of him

Step-by-step explanation:

Answer:

Z score is a statistical that corresponds to the standarization of the regular score to a normal dsitribution

The formula for Z score is Z = [X - mean ]./ (standar deviation)

Here X = 930.00; mean = 900.00; and standard deviation = 15.00

Then, Z = [930.00 - 900.00] / 15.00 = 30.00 / 15.00 = 2.00

Answer: 2.00

Step-by-step explanation:

Answer:

Susie is correct  because the function is y = x²

what do you need help with T~T

Answer:

r=-11

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Answer:

[tex]2\frac{1}{2}[/tex] or 2.5

Step-by-step explanation:

[tex]\frac{5}{8}*4\\ \\ =\frac{5}{8}*\frac{4}{1} \\ \\ =\frac{5*4}{8*1} \\ \\ =\frac{20}{8} \\ \\ =\frac{5}{2} \\ \\ =2\frac{1}{2} or 2.5[/tex]

Answer:

it takes 3 hour

Step-by-step explanation:

ypir welcome

Answer:

5, -9

Step-by-step explanation:

(x - 5)(x + 9) = 0    These are factors, to get the roots, just set each one equal to zero

x - 5 = 0

x = 5

x + 9 = 0

x = -9

Answer:

Postive 5 and negative 9.

Step-by-step explanation:

So remember, all we have to do is set each of the parethese to zero and solve. It should look like this:

x-5=0 and x+9=0

For the first equation we have made, jsut add 5 to both sides so x is alone. This will get you:

x=5

So the first answer for x is 5.

Now lets solve our second equation and find the second answer for x.

So all we have to do for this one is subtract 9 from both sides. This should get you:

x=-9

So now we know that our two answers for x is 5 and -9.

These two answers seem to be on your list as #2 answer and #3 answer.

Answer:

C. y = 1/2x

Step-by-step explanation:

We can check to see which of the equations passes through (2,1) by substituting the point's x and y values into the options, then checking to see if the result is a true statement.

Let's try this with option C, [tex]y = \frac{1}{2} x[/tex]. To substitute the x and y values of (2,1) into the equation, substitute 2 for [tex]x[/tex] and 1 for [tex]y[/tex]. Then, solve:

[tex]y = \frac{1}{2} x\\\\1 = \frac{1}{2} (2)\\1 = 1[/tex]

1 does equal 1, so the result is a true statement. Option C is the answer.  

9514 1404 393

Answer:

  25%

Step-by-step explanation:

A percentage change is calculated using the formula ...

  pct change = ((new value) - (old value))/(old value) × 100%

For your numbers, this is ...

  pct change = (250 -200)/200 × 100% = 50/200×100% = 25%

The selling price was 25% more than the cost price.

Answer:

1_2/3

=1/3 or 0.33

Step-by-step explanation:

Probability is not more than 1..

Answer:

<DEC and <IHJ

Step-by-step explanation:

Alternate exterior angles are angles on the other side of a transveral and on the exterior area.

Answer:

I'm not sure

Step-by-step explanation: