There are 40 mg of bacteria in the sample. The next day there are 50 mg of bacteria, and the following day there are 62.5 mg of bacteria. The bacteria sample continues to grow exponentially. What function can be used to model this situation?

Answers

A A(t)=40(1.25)^t
B A(t)=40(.75)^t
C A(t)=50(.25)^2
D A(t)=50(1.25)^t

Answer:

0.7780

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

We have that [tex]\mu = 7.19, \sigma = 0.86[/tex]

Sample of 12:

[tex]n = 12, s = \frac{0.86}{\sqrt{12}} = 0.2483[/tex]

What is the probability that the mean cost will be more than $7.00?

This is 1 subtracted by the pvalue of Z when X = 7. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{7 - 7.19}{0.2483}[/tex]

[tex]Z = -0.765[/tex]

[tex]Z = -0.765[/tex] has a pvalue of 0.222

1 - 0.222 = 0.778

So the answer is 0.7780

Answer:

An angle measures 130° more than the measure of its supplementary angle.

Therefore the required angle is (180°-130°)°=50°

The measure of the angle is A = 50° and the supplementary angles are given by 130° and 50°

Supplementary angles are two angles that have a sum of 180°.

Complementary angles are two angles that have a sum of 90°.

Given data ,

Let the first angle be represented as A

Now , the value of A is

Let the second angle be represented as B

And , the value of B is B = 130°

The angles A and B are supplementary

So , A + B = 180°

On simplifying , we get

The measure of A + 130° = 180°

Subtracting 130° on both sides , we get

The measure of angle A = 180° - 130°

The measure of angle A = 50°

Hence , the measure of angle is 50°

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Answer:

c and d

Step-by-step explanation:

The equivalent ratios to 6 : 16 are, 3 : 8, 30/80 and 18 to 48.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, A ratio 6 : 16 = 3 : 8.

So, One equivalent ratio is 3 : 8.

Now, Going through options,

10×3 : 10×8.

= 30 : 80.

= 30/80.

6×3 : 6×8.

= 18 : 48.

= 18 to 48.

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Answer:

(6 ,-7)

Step-by-step explanation:

[tex] - 5x + 8y = - 86 \\ y = 6x - 43 \\ - 5x = - 86 - 8y \\ x = 17.2 + 1.6y \\ y = 6(17.2 + 1.6y) - 43 \\ y = 103.2 + 9.6y - 43 \\ 8.6y = - 60.2 \\ y = - 7 \\ [/tex]

[tex]x = 17.2 + 1.6( - 7) \\ x = 17.2 - 11.2 \\ x = 6[/tex]

Answer:

The answer is 12.8

Step-by-step explanation:

I looked it up

Answer:

Step-by-step explanation:

The estimate was off by 2 people.  The error was thus -2/148, or about 1%.

Answer:

Step-by-step explanation:

48+48=96

32+32+32=96

24+24+24+24=96

12+12+12+12+12+12+12+12=96

6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6=96

I'm not going to write out the rest of the numbers. I'll multiply them.

4 x 24=96  (etc. 4+4+4....)

3 x 32=96  (etc. 3+3+3....)

2 x 48=96  (etc. 2+2+2....)

1 x 96=96   (etc. 1+1+1....)

I hope this is what you meant. If you liked, mark me Brainliest please.

The number 96 is divided into equal groups, then the number of 10 ways is shown below.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

48 + 48 = 96

32 + 32 + 32 = 96

24 + 24 + 24 + 24 = 96

12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 = 96

6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 96

And the rest are written in the form of multiplication. Then we have

4 x 24 = 96  (etc. 4 + 4 + 4 ....)

3 x 32 = 96  (etc. 3 + 3 + 3 ....)

2 x 48 = 96  (etc. 2 + 2 + 2 ....)

1 x 96 = 96   (etc. 1 + 1 + 1 ....)

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Answer:

its loading but ill help!

Step-by-step explanation:

Step-by-step explanation:

7x×5x=140

35x²=140

x²= 4

x=2

Smaller number = 5x = 5×2=10

Hope this helps you.

Answer:

C.

Step-by-step explanation:

There's no problem for now but it still needs to be monitored in case something might happen.

Answer:

There are multiple answers

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

0.25 * 200 = 50

25% of 200 is 50

Answer:

50

Step-by-step explanation:

25% of 100 is 25 so add another 100 so u have to add 25

Answer:

About 53% percent of the students went to the cafeteria.

Step-by-step explanation:

there are 26 students and 14 left that can be put into the fraction 14/26.

To find the percentage you then divide 14 by 26 and turn it into a percent and you get something like 53.846... but you can simplify it to 53%

Answer

54

Step-by-step explanation:

tan A = 3/4

tan B = 4/3

tan S = 12/5

tan Q = 5/12

-_- 1x2 3x4 2 3d 34rs 4543 3456

ANSWER

0.08 then 0.7 then 8/10 then 81%

Explanation

im going to put everything into fraction because i think it would be easier for u to understand

8/10 > 80/100

0.08> as a fraction is > 8/100

81% as a fraction is 81/100

and last but not least, 0.7 as a fraction is 70/100

so order these from least to greatest

8/100 then 70/100 then 80/100 and then 81/100.

so it would be

0.08 then 0.7 then 8/10 then 81%

^is ur answer

hope this helps.

:)

5 star and brainliest please?

The expression 15 + 1/2n is an algebraic expression because, the expression contains a variable and this variable is Variable n.

Discussion:

A determining factor for concluding which expression is algebraic or not is the presence or absence of a variable.

However, in this case, the expression, 15 + 1/2n is an algebraic expression due to the fact that it contains a variable, n.

Read more on algebraic expressions;

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Answer:

7.5

Step-by-step explanation:

The perimeter of the regular pentagon will be 7.5 units.

All the sides of the regular polygon are congruent to each other. The perimeter of the regular polygon of n sides will be the product of the number of the side and the side length of the regular polygon.

P = (Side length) x n

The sides of the regular polygon are 3(x - 1) and (5x - 6). Then the value of the variable x will be

3(x - 1) = 5x - 6

3x - 3 = 5x - 6

2x = 3

x = 1.5

Then the side length of the regular pentagon will be

Side = 3(1.5 - 3)

Side = 3 (0.5)

Side = 1.5

Then the perimeter of the regular pentagon will be

P = 5 x 1.5

P = 7.5 units

The perimeter of the regular pentagon will be 7.5 units.

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Answer:

0.0062 = 0.62% probability of this occurring

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 2000, \sigma = 20[/tex]

a. If the process overfills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring

Probability of filling the bottle with more than 2000 + 50 = 2050 milliliters, which is 1 subtracted by the pvalue of Z when X = 2050. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2050 - 2000}{20}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a pvalue of 0.9938

1 - 0.9938 = 0.0062

0.0062 = 0.62% probability of this occurring

Answer:

Step-by-step explanation:

There is no bird on the spinner. therefore the answer is impossible because there is no bird.

Answer:

Impossible - There's no bird on the wheel.

Step-by-step explanation:

[tex]\text{Hey there!}[/tex]

[tex]\bold{The\ result\ should\ be\ the\ same\ thing\ as\ the\ equation... You\ don’t}\\\bold{have\ enough\ information\ to\ solve\ for\ it!}[/tex]

[tex]\boxed{\bold{Answer: k\geq 0\boxed{\bold{It\ is\ a\ CLOSED\ circle\ SHADED\ to\ the\ RIGHT}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1048}[/tex]

Answer:

j = -15

Step-by-step explanation:

Given that,

A line that includes the points (-9,-5) and (-10, j) has a slope of -10.

The slope of a line for which two points are given is :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\-10=\dfrac{j-(-5)}{-10-(-9)}\\\\10=\dfrac{j+5}{-10+9}\\\\10=\dfrac{j+5}{-1}\\\\-10=j+5\\\\j=-10-5\\\\j=-15[/tex]

So, the value of j is equal to -15.

Answer:

14

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

The formula for area of a circle is:

A

=

π

r

2

, where

A

=

area,

π

=

22

7

, and

r

=

radius.

Since we know that the radius is half the diameter of a circle, we know that the radius of the given circle is

14

2

=

7

f

t

.

Hence:

A

=

π

r

2

A

=

22

7

×

7

2

A

=

22

7

×

7

×

7

A

=

22

7

×

7

×

7

A

=

22

×

7

A

=

154

Answer:

55 degrees

Step-by-step explanation:

Answer:

There is now 3 cups of m ilk left in the jug.

Step-by-step explanation:

12+1=13 | 13-16=3

ANSWER: 3