After the antibiotic Streptomycin is given to a patient, the population (in million) of Mycobacterium in the body is given by the function f(t) = -0.02(t)2 + 3, where t is in hours. Find the rate at which the population of the bacteria is changing after 4 hours.

What is the likelihood of rolling a 10 on a fair number cube numbered 1-6 is 0

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

The sample space in the question is 1,2,3,4,5,6

The Probability of rolling a 10 is impossible  since 10 is not a possible outcome on a number cube numbered 1 to 6.

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Therefore, probability solution is estimating this likelihood without additional data or analysis is inappropriate correct response is option a.

The main goal of the mathematical branch known as statistical inference is to estimate the likelihood that a statement is accurate or that a particular event will take place. Any number among 0 and 1, where 1 typically denotes confidence and 0 typically denotes possibility, can be used to symbolise chance. A probability diagram illustrates the likelihood that a particular occurrence will take place.

Here,

Because of the skewed demographic distribution, the right response is (a).

We could use the normally distributed to compute probabilities because the length of adult American ladybirds is distributed normally with a known standard deviation. The normal distribution may not, however, correctly depict the distribution of ladybird lengths in the population due to the skewed population distribution.

Furthermore, even if the difference between the actual community mean and the assumed mean of 1 cm is tiny, the given size of the population of 440000 could result in a statistically significant outcome.

However, because the assumption of normality may not hold true, this does not imply that we can accurately determine the likelihood of a random ladybird in Raleigh being larger than 1.5 centimetres.

Therefore, estimating this likelihood without additional data or analysis is inappropriate.

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In a group of music students, 11 play the harp and 14 play the horn then, there are 1,588,184 ways to choose 5 harp players and 7 horn players from the group of music students.

For the number of ways 5 harp players and 7 horn players are chosen, we can calculate:

1. The number of ways to choose 5 harp players from 11 is given by the binomial coefficient:

\($${{11}\choose{5}}=\frac{11!}{5!6!}=462$$\)

2. Similarly, the number of ways to choose 7 horn players from 14 is:

\($${{14}\choose{7}}=\frac{14!}{7!7!}=3432$$\)

3. To choose 5 harp players and 7 horn players from the group, we need to multiply these binomial coefficients:

\($${{11}\choose{5}} \cdot {{14}\choose{7}} = 462 \cdot 3432 = 1588184$$\)

Therefore, there are 1,588,184 ways to choose 5 harp players and 7 horn players from the group of music students.

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the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

Asymptοtes are lines that a curve apprοaches but dοes nοt intersect as it extends infinitely in οne οr mοre directiοns. They can be vertical, hοrizοntal, οr οblique.

Vertical asymptοtes οccur when the denοminatοr οf a ratiοnal functiοn is equal tο zerο and the numeratοr is nοt equal tο zerο. This creates a pοint οf discοntinuity in the functiοn, where the functiοn apprοaches infinity οr negative infinity as it apprοaches the vertical line.

The functiοn y = 5tan(0.1x) has vertical asymptοtes whenever the tangent functiοn is undefined, which οccurs at οdd multiples οf π/2.

the vertical asymptοtes οf y = 5tan(0.1x) are given by:

x = (2n+1)π/2*10, where n is an integer.

Fοr Explοratiοn 4.3.3, Questiοn 2, the given functiοn is:

\(y = (x^2 - 5x + 6)/(x^2 - 9)\)

Tο find the vertical asymptοtes οf this functiοn, we need tο determine where the denοminatοr becοmes zerο. This οccurs at x = 3 and x = -3.

Therefοre, the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

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The following values, when rounded to one significant figure in accordance with the stated statement, are 3*10⁴, 3, and 1*10⁴ m.

True figures are the number of digits that increase a value's accuracy, often a measurement. Starting with the first semi-digit, we count actual numbers. All the decimal places to the right of the next non-zero digit after the calculation are significant. The number 0.0079800, for instance, includes five significant digits. If a measurement includes the noughts to the side of the last non-zero digit, they are all significant.

As stated in the preceding sentence:

a). 25637 ≈  3*10⁴

b). 2.51 ≈ 3

c). 9877m ≈ 10000m = 1*10⁴m

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A significance level of 0.05, the critical value for the right-tailed test is z = 1.645.

To test if the data provides enough evidence to conclude that the cream improved the skin of more than 60% of the women, we can conduct a hypothesis test.

Let p be the true proportion of middle-aged women who show skin improvement after using the anti-aging skin cream.

The null hypothesis is: H0: p ≤ 0.6

The alternative hypothesis is: Ha: p > 0.6

We can use a one-tailed z-test for proportions to test this hypothesis, where the test statistic is given by:

z = (P - p0) / sqrt(p0 * (1 - p0) / n)

where P is the sample proportion, p0 = 0.6 is the null hypothesis value, and n = 33 is the sample size.

From the table, we see that 26 out of 33 women showed skin improvement after using the cream. Therefore, the sample proportion is:

P = 26 / 33 = 0.7879

Substituting the values, we get:

z = (0.7879 - 0.6) / sqrt(0.6 * 0.4 / 33) = 2.162

Using a significance level of 0.05, the critical value for the right-tailed test is z = 1.645.

Since the calculated test statistic (z = 2.162) is greater than the critical value (z = 1.645), we reject the null hypothesis and conclude that there is enough evidence to suggest that the cream improved the skin of more than 60% of the women.

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2 things because a hand is not a thing

Answer:

3

Step-by-step explanation:

Answer:

31: 98,765 x 9 + 3 = 888,888

32: 12.345 x 9 + 6 = 111,111

33: 3,367 x 15 = 50,505

34: 15,873 x 35 = 555,555

35: 33,334 x 33,334 = 1,111,155,556

36: 11,111 x 11,111 = 123,454,321

You skipped 37-39

40: 3 + 9 + 27 + 81 + 243 = 3(243-1)/2

41: 1/2 + 1/4 + 1/8 + 1/16 + 1/32 = 1 - 1/32

Step-by-step explanation:

It's just patterns bro

Answer:

Step-by-step explanation:

-3(5x - 2) - 2x

-15x + 6 - 2x

-17x + 6

Option A is the correct answer

Answer:

r+17=8r+7

r=10+8r

r=2

Step-by-step explanation:

Answer:

y= 3x + 5

Step-by-step explanation:

3 = the slope

5 = y-intercept

Answer: When do you need it done?

Step-by-step explanation: ?

Answer:

Step-by-step explanation:

x+y=17

x-y = 7

From equation 2, x = 7 + y

put this in equation 1.

(7+y) + y = 17

7+2y = 17

2y = 10

y = 5.

We said that x = 7+y

thus, x = 7 + 5

x = 12.

2x+2y=36

2(x+y) = 36

Thus, x + y = 18.

x+y = 18

x-y=6 using elimination (literally simplifying this)

2x = 24 (y-y=0. ELIMINATED!)

x = 12

When x = 12,

x+y=18

12+y=18

y=6.

3x = y

x + y = 20

From 1, y = 3x.

x + (3x) = 20

4x = 20

x = 5.

when x = 5,

y = 3x

y = 3(5)

y = 15.

x+y = -4

xy = -21

from 1, x = -4-y

=> y(-4-y)= -21

-y²-4y = -21

Therefore,

y² + 4y -21 = 0

y= 3 or -7.

When y = 3,

x + 3 = -4

x= -7.

When y = -7,

x + (-7) = -4

x-7=-4

x = 3.

Hope these help! :)

*fingers cracking*

Answer:

Step-by-step explanation:

Ratio of snakes to crocodile

36 : 9

In simplest form

4 : 1

Answer:

it is d i am 20 percent postive

The solution of the expression is,

⇒ S = - 5100

Since, An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

We have to given that;

Sequence is,

⇒ ∑ n = 1 to n = 4 [ 100 (- 4)ⁿ⁻¹ ]

Now, We get;

⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]

Replace n to n + 1;

⇒ a (n + 1) = 100 (- 4)ⁿ

And, For n = 1;

⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]

⇒ a (1) = [ 100 (- 4)¹⁻¹ ]

⇒ a (1) =  100

And, Common ratio = - 4

Hence, The sum of geometric ratio is,

⇒ S = 100 (1 - (- 4)⁴) / (1 + 4)

⇒ S = 100 (1 - 256) / 5

⇒ S = - 5100

Thus, The solution of the expression is,

⇒ S = - 5100

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Answer:

vertex = (- 4, - 75 )

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - \(\frac{b}{2a}\)

y = 4x² + 32x - 11 ← is in standard form

with a = 4, b = 32 , then

x = - \(\frac{32}{8}\) = - 4

Substitute x = - 4 into the equation for corresponding y- coordinate

y = 4(- 4)² + 32(- 4) - 11

  = 4(16) - 128 - 11

  = 64 - 139

   = - 75

vertex = (- 4, - 75 )

Hence, in answering the stated questiοn, we may say that If yοu're unitary methοd  satisfied with yοur line plοt, save it and distribute it as needed.

The unit technique is a prοblem-sοlving apprοach that invοlves finding the value οf a single unit and then multiplying that value by the needed value. Tο put it simply, the unit technique is used tο extract a single unit value frοm a given multiple. 40 pens, fοr example, wοuld cοst 400 rupees, οr the cοst οf οne pen. The prοcess fοr achieving this may be standardized. A single cοuntry. anything that has an identity element. Its adjοint and reciprοcal are equal in mathematics and algebra.

a general methοd fοr prοducing a line plοt:

First, cοllect yοur data. Stοck prices, temperature readings, and survey results are all examples οf this. The crucial thing is that yοu have a set οf values tο plοt οn a graph.

Enter yοur x and y values intο the plοt. The exact prοcedure depends οn the graphing prοgrammed yοu're using, but yοu shοuld be able tο enter yοur values intο a data table οr spreadsheet.

Make any changes yοu want tο yοur plοt. Adding labels tο the x and y axes, tweaking the plοt's scale, changing the line cοlοur οr thickness, οr adding a title are all pοssibilities.

If yοu're satisfied with yοur line plοt, save it and distribute it as needed.

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Complete question:

Answer:

the answers will be :

Answer: B. False

Step-by-step explanation:

It does not follow the Pythagorean Theorem (a^2 + b^2 = c^2)

The sum of the two legs (shorter sides) squared would have to equal the hypotenuse (longest side) squared in order to form a right triangle.

5^2 = 25

6^2 = 36

25 + 36 = 61

8^2 = 64

61 < 64

Answer:

A. none of these

Step-by-step explanation:

It's an absolute value function such as : y = 3*| x-1 |

Two rays sharing a common endpoint is the definition of an angle.

A ray is a geometric shape that is defined by a starting point (or endpoint) and extends infinitely in one direction. It is represented by an arrowhead on one end, indicating the direction of the ray. It is a one-dimensional object, and it can be thought of as a line with one endpoint fixed and the other extending indefinitely.

An angle is defined as the measure of the amount of rotation between two rays that share a common endpoint (or vertex). The common endpoint is called the vertex of the angle. The two rays are called the arms of the angle.

Thus, two rays form an angle.

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Given,

The radius of the circle is 5 meters.

Required

The area of the circle shaped swimming pool.

The area of the circle is calculated by using the formula,

Substituting the values then,

Hence, the area of the swimming pool is 78.5 square meters.

Answer:

Step-by-step explanation:

It should say a "highway bridge." No bride should be anchored to the ground.

x² = 1.5² + 6.8² = 48.49

x = √48.49 ≅ 7 units

To sum up, $1200 of Cheer 61's distribution is taxable while $4800 is not taxable.

Char's $1,200 distribution of earnings is taxable.

Char's $4,800 distribution of her base is not taxable, according to the details given in the question.

To explain further, an individual retirement account (IRA) is a kind of investment account that offers tax benefits for saving for retirement.

When a person contributes to a Roth IRA, the contribution is made with after-tax dollars and grows tax-free.

When the individual takes money out of the account, there are no tax consequences since they have already paid taxes on the contributions. However,

if the individual takes money out before they turn 59 1/2 or haven't held the account for at least five years, there could be tax consequences on the earnings portion of the distribution.

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The probability of choosing a 5 and then a 6 is 1/49

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

Answer:

The kitchen has a bigger actual area than the bedroom

Step-by-step explanation:

Here, we want to know the compartment with the bigger area

Since the bedroom has a drawing measure of 1 to 40; compared to the actual measurement;

The real dimensions will be;

10 * 40 and 18 * 40

= 400 by 720

So, its area which is length * width will be;

400 cm * 720 cm = 288,000 cm^2

we can see that the kitchen with an area of 300,000 cm^2 is bigger than this area of the bedroom

Answer:

Step-by-step explanation:

The container that holds the water for the football team is 1/3 full.

After pouring in 12 gallons of water, it is 7/9 full.

Hence, the fraction of the water poured is

1/3 - 7/9

Lowest common denominator

= 9

3× 3 - 7 × 1/9

= 9 - 7/9

= 2/9

Hence, 2/9 = 12 gallons

How many gallons can the container hold?