reflect..............................................

Answer:

4

Step-by-step explanation:

The closest whole number to 4.17 is 4

Answer:

The correct Answer is 4

Step-by-step explanation:

- 5 or Higher you go up

-4 or lower you round down

Since the 1, next to the four is below four, the number stays the same, loosing the decimals.

Answer: The correct answer is B.

Step-by-step explanation:

The simples radical form in which the line divides quadilateral is 4 + √ 5

Congruent quadrilaterals are quadrilaterals that have the same size and shape. They have corresponding sides and angles that are equal in measure. In other words, if one quadrilateral can be superimposed on another, they are congruent.

y  =  x/2

This line will  intersect the square at x values  -a  and a

So....the associated y values are:

y =  (-a)/2  =  -a/2     and   (a)/2  

So....the perimeter of one of the quadrilaterals is

=> 2a  +  [(a) -  (-a/2)] + [(a) - a/2 ]  + √  [ ( a - (-a)) ^2 + ( a/2 - (-a/2)^2]  =

=> 2a  + 3a/2  + a/2  + √  [ 4a^2  + a^2 ]  

4a  +  a√ 5  

dividing the above equation by a  produces  = 4  + √ 5

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Complete question:

The square with vertices (-a, -a), (a, -a), (-a, a), (a, a) is cut by the line y = x/2 into congruent quadrilaterals. The perimeter of one of these congruent quadrilaterals divided by a equals what? Express your answer in simplified radical form.

Answer:

Step-by-step explanation:

Probabilities are used to determine the chances of an event

The probability of event B is 0.62

The probabilities are given as:

\(\mathbf{P(A) = 0.48}\)

\(\mathbf{P(A\ and\ B) = 0.21}\)

\(\mathbf{P(A\ or\ B) = 0.89}\)

To calculate the probability of event B, we make use of the following formula

\(\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}\)

So, we have:

\(\mathbf{0.21 = 0.48 + P(B) - 0.89}\)

Collect like terms

\(\mathbf{P(B)= -0.48 +0.21 + 0.89}\)

\(\mathbf{P(B)= 0.62}\)

Hence, the probability of event B is 0.62

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1: 80% The reason why is because if you do 4/5, you get .80, move the decimals to places to the right, and you get 80%

2: 95% Process of Elimination, and Educated Guess.

3: 33 1/3% If you do 50/150, you get 0.33333... Like I said, move the decimal point two places to the right, and you get 33.33...%

I hope this helps, and Happy Holidays! :)

Answer:

  7 m/s²

Step-by-step explanation:

Since force and acceleration are proportional, multiplying the force by a factor of 14/6 = 7/3 will multiply the acceleration by that same factor:

  acceleration = (3 m/s²)(7/3) = 7 m/s²

Answer:

Step-by-step explanation:

Number of shells she had in the begining = 40

Number of shells collected in the morning and at noon = 6 + 3 = 9

Now the number of shell at the end = 40 + 9 = 49

Icreased shells = 49 - 40 = 90

\(\text{Percentage increase = $\dfrac{49- 40}{40}*100$}\)

                                \(=\dfrac{9}{40}*100\\\\\\= 22.5 \ \%\)

-17/2

Step-by-step explanation:

30-8(8)+4y

30=64+4y

30-64=4y

-34=4y

y= -34/4

y= -17/2

hope it helps!

Answer:

Step-by-step explanation:

75 = 64 + 8 + 2 + 1 = 1*2^6 + 1*2^3 + 1*2^1 + 1*2^0

There is no power 5, 4, or 2 so zeros go in those slots.

75 = 1001011 (Base 2)

The missing factor in the equation is -21

The Distributive Property introduces the multiplication operator an existing mathematical statement that involves the addition operator.

From the complete question, the equation is given as:

\(6 \times x= (3 \times 7) + (x \times 7)\)

Where x represents the missing factor.

So, we have:

\(6x= (21) + (7x)\)

Remove brackets

\(6x= 21 + 7x\)

Collect like terms

\(6x-7x= 21\)

Evaluate the like terms

\(-x= 21\)

Divide both sides by -1

\(x= -21\)

Hence, the missing factor in the equation is -21

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The vectors is perpendicular to (-4,2) will be (b) (-1,-2)

The dot product of two vectors is found by multiplying the corresponding components of the vectors and adding the results. which is, if the two vectors are (a, b) and (c, d), their dot product is ac + bd.

To calculate the dot product of (-4, 2) with each of the given vectors:

a) (-3.6):

(-4)(-3.6) + (2)(-3.6) = 14.4 - 7.2 = 7.2

b) (-1, -2):

(-4)(-1) + (2)(-2) = 4 - 4 = 0

c) (2, -3):

(-4)(2) + (2)(-3) = -8 - 6 = -14

d) (4, -8):

(-4)(4) + (2)(-8) = -16 - 16 = -32

Therefore, the vector that is perpendicular to (-4, 2) is option (b) (-1,-2).

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Answer:

It would be a which is 7x-5

The solution is,  the solution of the given equation is :

 x = 0, 1/3

Here, we have,

The greatest common factor is 2x. Factoring that out,

we have ...

 2x(3x -1) = 0

The solutions will be the values of x that make the factors 0.

 x = 0

 3x -1 = 0   ⇒   x = 1/3

The solutions are x = 0, 1/3.

Check

x = 0   ⇒   6·0² -2·0 = 0   ⇒   0 - 0 = 0 . . . true

x = 1/3   ⇒   6(1/3)² -2(1/3) = 0   ⇒   6/9 -2/3 = 0 . . . true

Hence, The solution is,  the solution of the given equation is :

 x = 0, 1/3

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complete question:

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from least to greatest separated by a comma. 6x2−2x=0

Answer:

14.9

if you need it

side a is 24.04867

9514 1404 393

Answer:

  c ≈ 14.9 cm

Step-by-step explanation:

I personally like to use a proportion that has the unknown in the numerator. The angle opposite c is ...

  C = 180° -150° -12° = 18°

Then the law of sines tells us ...

  c/sin(C) = b/sin(B)

  c = sin(C)·b/sin(B) = sin(18°)/sin(12°)(10 cm)

  c ≈ 14.9 cm

Answer:

Energy C)

Step-by-step explanation:

Edg 2020

Energy can neither be created nor destroyed

Data;

The law of conservation of energy states that energy can neither be created nor destroyed but can be transferred from one form to another. Example of this is the movement of automobiles which is the transformation of chemical energy in fuel to mechanical energy. Another example is sound system that converts electrical energy to sound energy

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Answer:

1/2×b×h

1/2×7×4 =area

a=14

give brainlist

Answer:

A=(l*w)/2

a=7*4/2

A=28/2=14

the answer is 14 I think

This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.

Let M_n be the maximum of n independent U(0, 1) random variables.

To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:

First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n

So, P(M_n ≤ 1-ε) = (1-ε)^n

Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon

Hence, P(M_n ≥ 1+ε) = (1-ε)^n

Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)

P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.

Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n

Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}

Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.

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Step-by-step explanation:

you're going to substitute the value of x from the table inside the equation to get Y.

like the first one will be when X=10

then you put 10 in place of X in the equation

-62

-37

37

62

i think it is the answer

Answer:

zxc

Step-by-step explanation:

xzcsdcasc

Answer:

x=3

Step-by-step explanation:

−4x+1+9x=−9x+16+9x

5x+1=16

Step 2: Subtract 1 from both sides.

5x+1−1=16−1

5x=15

Step 3: Divide both sides by 5.

5x/5 =15/5

x=3

The no. of subsets with at least one odd number is ²⁰C₁₀ - 1

We have the sample set to be {1, 2, 3, 4, ... 20}

Now we need to make subsets of 10 from these 20 elements.

Hence, the number of possible subsets of 10 elements will be

²⁰C₁₀

Now, there are 10 odd elements in the given sample set.

Hence the number of sets that contain at least 1 odd element

= Total no. of possible sets - no. of possible sets with no odd no.

Now since there are only 10 even numbers, there can be only one such set possible.

Hence no. of the subsets with at least one odd number is

²⁰C₁₀ - 1

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A system of equations that could be used to  determine the number of cans of soup purchased and the number of frozen dinners  purchased is:

350x + 500y = 4800

y = 2x

x = number of cans of soup purchased

y = number of frozen dinners purchased.

The system of equations are known as simultaneous equations. Simultaneous equations are group of equations that have to be solved together in order to determine the required values.

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Step-by-step explanation:

-4.5x -2y = -12.5 -------(1)

3.25x -y = -0.75 --------(2)

From (2) we can make y the subject of the relation

y = 0.75+3.25x -------(3)

Input 0.75+3.25x into y in (1)

-4.5x -2(0.75+3.25x) = -12.5

-4.5x -1.5- 6.5x = -12.5

-4.5x -6.5x -1.5 = -12.5

-11x = -12.5 +1.5

-11x = -11

x = 11/11

x = 1

If x = 1,substitute 1 into x in (3)

y = 0.75+3.25x

y = 0.75 +3.25(1)

y = 0.75 +3.25

y = 4

x = 1,y = 4

To function effectively, a subtotal row must contain at least one aggregate function, which performs calculations on a group of values and produces a single, concise result that conveys the relevant information.

A subtotal row is an essential tool for data analysis in spreadsheets, allowing for easy organization and summarization of large datasets.

A subtotal row is a crucial element in organizing and analyzing data within spreadsheets, as it allows users to break down information into manageable sections. To achieve this, a subtotal row must contain at least one aggregate function. Aggregate functions perform calculations on a group of values, generating a single result that summarizes the data.
Examples of common aggregate functions include SUM, AVERAGE, COUNT, MIN, and MAX. These functions facilitate various mathematical operations, such as summing up values, finding the average, counting the number of instances, identifying the smallest value, and determining the largest value, respectively.
In practice, when creating a subtotal row in a spreadsheet, users typically sort the data by the desired category first. Then, they apply the appropriate aggregate function(s) to generate the desired summary statistics for each subset of data. This enables users to quickly gain insights into the data trends and make informed decisions based on the summarized information.

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Answer:

The number of adults that said exactly one coping mechanism are 25 adults

Step-by-step explanation:

Total number of adult in the group = 60 adults

The number that go on vacation vacation = 34

The number that go for a smoke break = 27

The number that listen to music = 41

The number that go for a vacation and smoke = 13

The number that smoke and listen to music = 16

The number that go for a vacation and listen to music = 20

The number that said two of the coping mechanism = 28

Set theory

We have;

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)

Given that the following relations;

n(A∪B∪C) = 60

n(A) = 34

n(B) = 27

n(C) = 41

n(A∩B) = 13

n(A∩C) = 20

n(B∩C) = 16

Therefore;

60 = 34 + 27 + 41 -13 -  20 - 16 + n(A∩B∩C)

∴ n(A∩B∩C) = 60 - (34 + 27 + 41 -13 -  20 - 16) = 7

Given that 28 said exactly 2, we have;

Total number of respondents = Those that said exactly 1 + Those that said exactly 2 + Those that said exactly 3

Total number of respondents = 60

Those that said exactly 2 = 28

Those that said exactly 3 = n(A∩B∩C) = 7

Therefore;

60 = Those that said exactly 1 + 28 + 7

Those that said exactly 1 = 60 - (28 + 7) = 25

Alternatively, we have;

Those that said exactly one = n(A) -(n(A∩B) + n(A∩C) - n(A∩B∩C))  + n(B) - (n(B∩C) + n(A∩B) - n(A∩B∩C)) + n(C) - (n(A∩C) + n(B∩C) - n(A∩B∩C))  

= 34 - (13 + 20 - 7) + 27 - (16 + 13 - 7) + 41 - (20 + 16 - 7) = 25

60 - 28 - 7 = 25

The number of adults that said exactly one coping mechanism = 25.

VW = 6

HOPE IT HELPS...!!!

Answer:

The ratios are 15 18 and 17 which total 50

So one person will receive 15/50 = 30 per cent

Another person receives 18/50 = 36 per cent

The third person receives 17/50 = 34 per cent

1st Person  30% of 3,990 = 1,197.00

2nd Person  36% of 3,990 = 1,436.40

3rd Person   34% of 3,990 = 1,356.60

Step-by-step explanation:

Answer:

$1197 : $1436.4 : $1356.6

Step-by-step explanation:

15 + 18 + 17 = 50

3990 / 50 = 79.8

1st person : 79.8 x 15 = 1197

2nd person : 79.8 x 18 = 1436.4

3rd person : 79.8 x 17 = 1356.6

$1197 : $1436.4 : $1356.6

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Assuming that all household incomes in California increase by 5%, it is likely that the standard deviation of household incomes will also increase.

This is because standard deviation measures the variability or spread of a set of data from its mean. If all incomes increase by the same percentage, the spread of the data will likely increase as well, resulting in a higher standard deviation. However, the exact amount of the increase in standard deviation will depend on the initial distribution of household incomes and the degree to which the increase is spread evenly across all income levels.

Household incomes in California. If all household incomes in California increase by 5%, the standard deviation of the household incomes will remain unchanged.
Here's a step-by-step explanation:
1. Standard deviation is a measure of the spread or dispersion of a set of data.
2. When all household incomes increase by 5%, each income value is multiplied by a constant factor (1.05 in this case).
3. Multiplying each value in a dataset by a constant factor only changes the mean and the individual values, but it does not affect the spread or dispersion of the data.
4. Since standard deviation is a measure of spread, and the spread of the data has not changed, the standard deviation remains the same.
So, when all household incomes in California increase by 5%, the standard deviation of the household incomes remains unchanged.

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Answer:

369.7 mL of medication

Step-by-step explanation:

How many mL of medication are needed to last 10 days if the dose of medication is 2.5 tsp TID (three times a day)?

From the above question,

The dosage of the medication =

2.5 tsp 3 times a day

= 2.5 × 3 = 7.5 tsp per day.

Since

1 day = 7.5 tsp

10 days = x tsp

Cross Multiply

x = 10 × 7.5 tsp

x = 75 tsp of medication for 10 days.

Step 2

It is important to note that:

1 tsp = 4.929 mL

75 tsp = x mL

Cross Multiply

x = 75 × 4.929 mL

x = 369.669 mL of medication

Approximately = 369.7 mL of medication