Geometry Question !!

The perimeter of a regular hexagon is 66 feet.


What is the area of the hexagon?


Round it to the nearest tenth

The strength of binding between an inhibitor and an enzyme can depend on several factors, including molecular geometry and charges.

In this case, it is likely that the structure of the inhibitor allows it to fit more snugly into the active site of the enzyme, forming more extensive hydrogen bonds and other non-covalent interactions with the amino acid residues of the enzyme. Additionally, the inhibitor may have specific charge interactions with residues in the active site that are not present with the natural substrate. These interactions can increase the binding energy between the inhibitor and the enzyme, resulting in a stronger binding affinity than that between the substrate and the enzyme.

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The likelihood that a randomly chosen adult from the United States has a vitamin d level lower than 25 is 0 despite the fact that many health authorities disagree and say that a vitamin d level of 30 is sufficient for sustaining one's health. Option (b)  0.2023 is corrcet.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Here mean = 30

standard deviation = 6

X = 25

The probability is lower than 25

So, P(X ≤ 25 ) = P{ ((x-30)/6) < ((25-30)/6)}

P(X ≤ 25 ) = P{ Z < ((25-30)/6)}

P(X ≤ 25 ) = P{ Z < (-0.83)} = 0.2023

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Correct Question:

While there is much debate, several health authorities have concluded that a vitamin d level of 30 is adequate for maintaining one's health. suppose this is the mean vitamin d level for adults in the united states. what is the probability that a randomly selected adult from the united states has a vitamin d level lower than 25? suppose the standard deviation is 6 and that the vitamin d levels for adults in the united states follow a normal distribution.

a. 0.0000

b. 0.2023

c. none of these

d. 0.3812

e. cannot be solved since the sampling distribution cannot be established.

Answer:

1 / x^3

I don't know what you mean by trying to get more characters by the way sorry.

Step-by-step explanation:

Exponents rule will change X^-3 / x^0 to x^-3-0

Subtract the exponents to get x^-3

Since exponents cannot be negative, the answer will be changed to a fraction 1/x^3.

Answer:It would be 40•.25=10

Step-by-step explanation: which means 40-10=30 so it’d be .25 and you’d move the decimal over 2 spots so it’d be 25% off

The busses will arrive again at the same time in 135 minutes.

The given parameters;

at stop A = bus arrives every 14 minutes

at stop B = bus arrives every 20

The lowest common multiple of 14 and 20 is calculated as;

14 = 2 x 7

20 = 2² x 5

LCM = 2² x 5 x 7 = 4 x 5 x 7 = 140

The common time for both busses = 140 minutes

Before this 140 minutes, the busses have spent 5 minutes moving

The buses will arrive at the same stop again in:

140 minutes - 5 minutes = 135 minutes

Thus, the busses will arrive again at the same time in 135 minutes.

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\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 15}}{\left( \cfrac{80}{100} \right)15}\implies 12~\hfill \underset{ decreased }{\stackrel{ 15~~ - ~~12 }{\text{\LARGE 3}}}\)

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.

A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.

Here,

To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:

Minimum value: the smallest value in the data set.

First quartile (Q1): the median of the lower half of the data set.

Median: the middle value in the data set.

Third quartile (Q3): the median of the upper half of the data set.

Maximum value: the largest value in the data set.

First, we need to put the data in order:

10, 12, 14, 15, 16, 18, 22, 24, 25, 28

The minimum value is 10 and the maximum value is 28.

The median is the middle value, which is 18.

To find the first quartile, we need to find the median of the lower half of the data set, which is:

10, 12, 14, 15, 16

The median of this lower half is 14.

To find the third quartile, we need to find the median of the upper half of the data set, which is:

22, 24, 25, 28

The median of this upper half is 24.

So, the five-number summary for this data set is:

Minimum value = 10

First quartile (Q1) = 14

Median = 18

Third quartile (Q3) = 24

Maximum value = 28

Now we can use this information to create the box and whisker plot:

      |          |      

 ----+----+----+----+----

    10   14   18   24   28

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.

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\(\begin{array}{ccll} Juice&OJ\\ \cline{1-2} \frac{2}{3}&\frac{1}{3}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{~~\frac{1}{3} ~~}{1}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{1}{3}\implies \cfrac{~~ \frac{2}{3}~~}{\frac{x}{1}}=\cfrac{1}{3} \\\\\\ \cfrac{2}{3x}=\cfrac{1}{3}\implies 6=3x\implies \cfrac{6}{3}=x\implies 2=x\)

There are no two Real numbers that add up to -2 and multiply to 10.

The numbers that add up to -2 and multiply to 10, we can use algebraic methods. Let's denote the two numbers as x and y. Based on the given conditions, we can set up two equations:

Equation 1: x + y = -2

Equation 2: x * y = 10

To solve this system of equations, we can use substitution or elimination methods. Let's solve it using the substitution method:

1. Solve Equation 1 for x:

  x = -2 - y

2. Substitute the value of x in Equation 2:

  (-2 - y) * y = 10

3. Simplify the equation:

  -2y - y^2 = 10

4. Rearrange the equation to standard form:

  y^2 + 2y + 10 = 0

5. Since the equation is a quadratic equation, we can apply the quadratic formula:

  y = (-b ± √(b^2 - 4ac)) / (2a)

  In this case, a = 1, b = 2, and c = 10.

6. Calculate the discriminant: b^2 - 4ac:

  2^2 - 4(1)(10) = 4 - 40 = -36

7. Since the discriminant is negative, the quadratic equation does not have real solutions. Therefore, there are no real numbers that satisfy both conditions of adding up to -2 and multiplying to 10.

In conclusion, there are no two real numbers that add up to -2 and multiply to 10.

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ratio remains same.

\(\\ \tt\longrightarrow \dfrac{2}{14}=\dfrac{7}{2z}\)

\(\\ \tt\longrightarrow 4z=14(7)\)

\(\\ \tt\longrightarrow 4z=98\)

\(\\ \tt\longrightarrow z=98/4\)

\(\\ \tt\longrightarrow z=24.5\)

The rate of change of the function h(x) = 2x on the interval 2 ≤ x ≤ 4 is 6.

Answer:

$22.75

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

The maximum home value that can be financed is approximately $35,365.85.

Let's represent the maximum home value that can be financed by H.

If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.

Therefore, we have:

H × 82% = $29,000

Multiplying both sides by (1/82%), we get:

H = $29,000 / 82%

= $35,365.85

Hence, the maximum home value that can be financed is approximately $35,365.85.

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Answer:

D) 210 in²

Step-by-step explanation:

Solve for KM.

8²+b²=17²

64+b²=289

b²=289-64

b²=225

b=√225

b=15 (Which is the length of KM, the height of the triangle)

Area=1/2bh

A=1/2(28)(15)

A=210

Answer:

Step-by-step explanation:

3 x 81 (to the power of 4 is the same as the square, squared, so 9 x 9) = 3x

243 = 3x

81 = x

Answer:

If the x-6 is all under the sqrt, the last answer is right:

6<= x <= infinity

If only x is under the sqrt and - 6 is NOT under the sqrt, then:

0 <= x <= infinity is the correct answer.

Step-by-step explanation:

You can look at the equation and or graph to determine the domain of a function. The domain is all the x's that may go into the equation or all the x's on the graph of the function. Inside of a squareroot symbol the number inside there must be positive. While considering the equation, only x's that keep that inside positive can be used.

For sqrt(x-6), x has to be 6 or bigger.

For sqrt(x) - 6, x has to be 0 or bigger.

When edge D connects with edge X, this net is folded into a cube, which is obtained by folding the given figure in cube.

A cube is a solid shape with six square faces. Each side of a square  has the same side length, so all  faces are the same size.

A cube has 12 sides and 8 vertices. Each vertex refers to the angle where the three edges of the cube meet.

Shape Properties of  Cube  

Thus, when edge D connects with edge X, this net is folded into a cube.

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Answer:

yfh ether bdhdhebjdfjrjriwuridjru4 dhriekdjerejfiekfjf

The probability of selecting fruits that are orange or cherry is 25/28

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

Orange = 20 times

Cherry chew = 5 times

Lime chew = 3 times

From the above parameters, the number of fruits that are orange or cherry is

Orange or cherry = Orange + Cherry

So, we have

Orange or cherry = 20 + 5

Evaluate

Orange or cherry = 25

The probability is

P = Orange or cherry/Total

So, we have

P = 25/28

Hence, the probability is 25/28

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Answer:

Step-by-step explanation:

25/28

Answer:

a)12

b)4

c)6

d)10

e)36

f)84

g)45

h)4

To make 10 in math we have to break numbers such that they sums up in multiple of 10.

When learning their basic addition facts in the first grade, kids use the "create a ten" approach to help them understand addition facts that could otherwise be challenging to remember, like 8 + 4 or 9 + 5. Students apply the technique by breaking down one of the addends to create ten from the other.

Like if we have to add 7+4 then what we can do break 4 as 3+1 and then add 7+3 =10 then add 1 into it 10+1 = 1 which is 7+4.

When students work with greater numbers, the make a ten technique can be expanded. Consider adding 37 by 14. Do you understand how 7 + 4 are related? By breaking down 14 into 3 and 11, adding the 3 to 37 to create 40, then adding 40 + 11 to get 51, we might use the make a ten method. 

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The linear inequality in open-sentence form are

An open sentence is a mathematical statement that contains at least one blank or unknown and that becomes true or false when the blank is filled or a quantity is substituted for the unknown.

Now, since we have the expressions,

First, we note that there are 3 open sentences and only two of them are inequalities.

The 3 open sentences are

The two inequalities are

So, the linear inequality in open-sentence form are

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Answer:

Answer:

153.94 square centimeters.

Step-by-step explanation:

To calculate the area of a circle when the circumference is given, you can use the formula:

Circumference = 2 * pi * r, where pi is approximately equal to 3.14 and r is the radius of the circle.

We can rearrange this formula to solve for the radius:

r = Circumference / (2 * pi)

Substituting the given value of circumference:

r = 44 cm / (2 * 3.14) = 7.006 cm (rounded to three decimal places)

Now that we have the radius, we can calculate the area of the circle using the formula:

Area = pi * r^2

Substituting the value of r:

Area = 3.14 * 7.006^2 = 153.94 cm^2 (rounded to two decimal places)

Therefore, the area of the circle is approximately 153.94 square centimeters.

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Answer:

12:05 PM

Step-by-step explanation:

Priya started at 9:00 AM.

Speed of Priya = 6 km/hr

Joe started at 9:30 AM.

Time at which Joe overtakes Priya = 10:20 AM

Total time taken by Priya = 1 hour 20 min = \(\frac{4}{3}\ hr\)

Total time taken by Joe = 50 min = \(\frac{5}{6}\ hr\)

Distance traveled by Priya and Joe is same.

Formula for distance is:

\(Distance =Speed\times Time\)

Distance covered by Priya = \(6 \times \frac{4}{3}\) km

Let speed of Joe = \(S\) km/h

Distance covered by Joe = \(S \times \frac{5}{6}\)

\(S \times \dfrac{5}{6} = 6 \times \dfrac{4}{3}\\\Rightarrow S =\dfrac{48}{5}\ km/hr\)

Total distance to be covered = 16.8 km

Total time to be taken by Joe =

\(\dfrac{16.8}{\frac{48}5} = \dfrac{16.8\times 5}{48} = \dfrac{84}{48} = 1.75\ hours\)

1.75 hours mean 1 hour and 45 minutes.

Finishing time at which Joe finishes = 9:30 AM + 1 hour 45 minutes = 12:05 PM

The area of the sector with an angle of 285 degrees and a radius of 6 units is 28.5π square units.

To find the area of a sector, we can use the formula:

Area of Sector = (Central Angle / 360 degrees) × π ×  (Radius²)

Given that the central angle is 285 degrees and the radius is 6, we can substitute these values into the formula:

Area of Sector = (285 degrees / 360 degrees) ×  π ×  (6²)

Area of Sector = (19/24) ×  π × 36

Area of Sector = (19/24) ×  36π

Area of Sector = (19 × 36π) / 24

Area of Sector = 684π / 24

Area of Sector = 28.5π

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Part A :

Yes, the statement is true that  P( A and B ) = 0 .

Given,

Event A and Event B are mutually exclusive.

Thus P ( A and B ) = 0

Part B:

A and B are mutually exclusive events if they do not occur at the same time.

This means that A and B do not share any common outcomes and

P(A and B) = 0.

Part C:

Let,

The sample space W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Let A = {1, 2, 3, 4, 5}, Y = {4, 5, 6, 7, 8}, and B = {7, 9}.

A and B do not have any numbers in common so P(A and B) = 0.

Hence, A and B are mutually exclusive.

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