What is the radius of 6 inches

Solution

For this case the only collection method thats satisfy very well the definition given is:

d. sample survey

Answer: 9

Step-by-step explanation:

36/4=9

\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)

Answer:

4x-3y-51=0

Step-by-step explanation:

y-\(y_{1}\) =m(x-\(x_{1}\))

y-(-9) = \(\frac{4}{3}\)(x-6)

3y+27=4x-24

4x-3y-51=0

Answer:

Explained below

Step-by-step explanation:

Hi! Do you know the similar triangle rules?

I will prove one for you and you can try the rest

ΔCBD ~ ΔABC proof:

st                              | r

1) ΔABC is right Δ    | Given

2) CD is alt to hyp   | Given

3) m∠C = 90°           | def right Δ

4) m∠CDB = 90°      | def alt

5) m∠B = m∠B         | reflexive property (more triangles share ∠B)

6) ΔCBD ~ ΔABC     | AA (since two angles are equal, the two triangles are similar)

We do not need to prove all three angles as similar since if two corresponding angles of two triangles are congruent, the third has to be equal (since the total sum of angles is 180° in a triangle)

You can translate the statement reasoning into a paragraph

I hope this helps! If not, let me know and I will try and explain further :)

Answer:

21,7 - yes

28,3 - no

17,3 - no

20,4 - yes

55,5 - yes

15,5 - yes

26,4 - no

32,8 - yes

48,7 no

60,2 - yes

79,4 - no

81,3 - yes

Step-by-step explanation:

hope that helps

The number pairs where the first number is a multiple of the second number are:

21, 7

20, 4

55, 5

15, 5

32, 8

60, 2

81, 3

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The first number which is a multiple of the second number.

21 and 7
7 x 3 = 21

28 and 3

3 x 9 = 27

17 and 3

3 x 5 = 15

20 and 4

4 x 5 = 20

55 and 5

5 x 11 = 55

15 and 5

5  x 3 = 15

26 and 4

4 x 6 = 24

32 and 8

8 x 4 = 32

48 and 7

7 x 7 = 49

60 and 2

2 x 30 = 60

79 and 4

4 x 19 = 76

81 and 3

3 x 27 = 81

Thus,

The number pairs are:

21, 7

20, 4

55, 5

15, 5

32, 8

60, 2

81, 3

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Answer:yea

Step-by-step explanation:123

Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

The union of the complement of event E (E') and event B is {2, 3, 5, 7, 9, 11, 13, 17}.

Event E consists of the prime numbers {2, 3, 5, 7, 11, 13, 17} from the sample space S, which includes numbers from 1 to 18. The complement of event E, denoted as E', includes all the elements of S that are not in E. In this case, E' contains all the non-prime numbers from 1 to 18, excluding the prime numbers listed in event E.

Event B represents the outcome of the experiment being a prime number less than 19. Since the sample space S already contains all the numbers from 1 to 18, event B will also consist of the prime numbers {2, 3, 5, 7, 11, 13, 17}.

To find the union of E' and B, we combine all the elements that are present in either E' or B. Thus, the union E'∪B results in {2, 3, 5, 7, 9, 11, 13, 17}, which includes the non-prime number 9 from E' and all the prime numbers from both E' and B.

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Answer:

i^3=i×i×i

Step-by-step explanation:

i^3(means i is multiplying(×) it self 3 times

The statement tells us several important things:

1. Of all the money collected from sales, 8.5% is for sales tax.

2. Of all the money collected from the sales, $125 goes to pay the rent for the space that I am using.

3. After deducting the taxes and the rented space, they divide the remaining money into 7 equal parts, which corresponds to $175.

To find the value of the money collected we first calculate the money that is known, i.e. the $175 for 7 of the growers and the $125 for the rent of the space.

This amount of money corresponds to the percentage remaining after taxes are taken out.

The percentage of this amount of money is 91.5%, the percentage of this amount of money is 91.5%.

In conclusion, the answer is $1476

Answer:

36

Step-by-step explanation:

9 / 25 x 100

9/25 = 0.36

0.36 x 100 = 36

Answer:

why is the graph so i can help you

Step-by-step explanation:

Answer:45 I think

Step-by-step explanation:

Permutation test is used to synthesize the population distribution of the statistic of interest for hypothesis testing of mean, median, and quartiles

An estimation of the population distribution—the distribution from which our observations originated—is the goal of a permutation test. We can then calculate how uncommon our observed values are in comparison to the population.

I find the permutation test to be more natural, and it only relies on the assumption of random assignment of treatment groups.

In a permutation test, you compare the observed test statistic to the distribution of values

you get when the treatment group assignments are shuffled/randomized/permuted.

The null hypothesis that two distinct groups originate from the same distribution is tested using permutation tests, also known as exact tests, randomization tests, or re-randomization tests. A permutation test can be used for hypothesis testing or significance testing (including A/B testing) without requiring any presumptions to be made about the distribution of the samples, such as that the samples must be normally distributed.

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Answer:

D. AAA is not a congruence postulate

Step-by-step explanation:

Using the concept of similar triangle and rule for the proportionality of it's sides, The answer is x=2.

A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed. It implies that the internal angles of a triangle add up to 180 degrees.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

Triangle ADE and Triangle ABC are similar in nature.

using the rule of proportionality of sides of the similar triangle, We have,

\(\frac{2+x}{2} = \frac{2}{1}\)

x+2=4

x=4-2

x=2

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Answer:

Hypothesis: If the temperature gets below normal the pool will be closed.

Conclusion: As a result of the temperature dropping below the regular or room temperature needed in order to be used the pool will be closed.

Step-by-step explanation:

Answer:

Hypothesis: If the temperature gets below normal the pool will be closed.

Conclusion: As a result of the temperature dropping below the regular or room temperature needed in order to be used the pool will be closed

Step-by-step explanation:

Answer:

Small shirts = 12 shirts

Large shirts = 18 shirts

Step-by-step explanation:

Given information

There are plans for ordering 24 medium shirts.

For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.

STEP ONE: Find how many groups of [4 medium shirts] are ordered.

24 / 4 = 6

There should be 6 groups of 4-medium-shirts orders.

STEP TWO: Find the number of small shirts.

6 × 2 = 12 shirts

STEP THREE: Find the number of large shirts.

6 × 3 = 18 shirts

Hope this helps!! :)

Please let me know if you have any questions or need further explanations

L = 2W

perimeter = 2( L + W ) = 20 .

2 ( 2W + W ) = 20

6 W = 20

W = 20/6

= 10/3

L = 20/3

Answer:

10/3

Step-by-step explanation:

Given properties of the rectangle:

Given this we want to find the width of the perimeter.

Creating a system of equation:

First off we know that perimeter = 2L + 2W

We also know that the perimeter of this rectangle is 20 cm

So we can say that 20 = 2L + 2W

We also know that the length of this rectangle is twice the width or in other words l = 2w

So we have the two equations, 20 = 2l + 2w and l = 2w

Solving the system:

We are going to use the substitution method to solve this system.

The substitution method works when you have two equations, one can be just a plain equation but the other must have one of the variables defined ( by itself on either side of the equal sign )

If you have one of the variables defined, you can plug it in ( substitute ) into the other equation and solve for the other variable.

Plugging in the defined variable into the other equation

Equation : 20 = 2l + 2w

Defined variable : l = 2w

==> plug in l = 2w

20 = 2(2w) + 2w ( now we solve )

==> multiply 2 and 2w

20 = 4w + 2w

==> combine like terms

20 = 6w

==> divide both sides by 6

20/6 = w

==> simplify fraction

10/3  = w

The width = 10/3

Checking our work:

First we must solve for length as well

Solving for length by plugging in width into either equation

l = 2w

==> plug in w = 10/3

l = 2(10/3)

==> multiply 2 and 10/3

l = 20/3

Now to check our we we plug in the length and width into both equations, if both are true then our answer is correct

Equation 1 : 2l + 2w = 20

==> plug in l = 20/3 and w = 10/3

2(20/3) + 2(10/3) = 20

==> simplify multiplication

40/3 + 20/3 = 20

==> add fractions

20 = 20

Equation 2 : l = 2w

==> plug in l = 20/3 and w = 10/3

20/3 = 2(10/3)

==> multiply 2 and 10/3

20/3 = 20/3

Both are correct so our final answer is correct as well! :)

Answer:

3/2

Step-by-step explanation:

You divide the larger measurement by the smaller measurement for each side of the package

For height: 32/16=2

Base 1st measurement: 12/8=3/2

Base 2nd measurement: 12/6=2

The reasonable prediction to select 2 purple socks as per experiment repeated 225 times is given by 45.

Theoretical probability of drawing 2 purple socks with replacement from a bag with 5 colors.

Equal number of 5 different colour socks in a bag.

Probability of drawing 2 purple sock  with replacement = 1/5

⇒ Out of every 5 times the experiment is repeated expect 1 time to get 2 purple socks.

Now, experiment is repeated 225 times,

Predict the number of times the child will select 2 purple socks is equal to,

Number of times the experiment is repeated =  225

Expected frequency of drawing 2 purple socks

= 225 / 5

= 45

Therefore, a reasonable prediction is that the child will select 2 purple socks about 45 times out of 225 repetitions of the experiment.

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Answer:

45

Step-by-step explanation:

i did the test

The equation that represents a sphere and its center and radius are to be determined. The given equation is

x2+y2+z2−2x−4y+8z=15

Step 1: Group the like terms

x2−2x+y2−4y+z2+8z=15+4+64x2−2x+1+y2−4y+4+z2+8z+16

=25(2−x)2+(y−2)2+(z+4)2

=25

Step 2: Divide each side by 25(2−x)2/25+(y−2)2/25+(z+4)2/25=1

The equation now has the standard form of a sphere, where(a,b,c) represents the center of the sphere andr represents the radius.

The equation can be written in the form of(x−a)2+(y−b)2+(z−c)2=r2(x−2)2/25+(y−2)2/25+(z+4)2/25

=1

The center of the sphere is (a, b, c) = (2, 2, −4)The radius of the sphere is r = 5

Therefore, the equation represents a sphere with center (2, 2, −4) and radius 5. The center of the sphere is (a, b, c) = (2, 2, −4) and the radius of the sphere is r = 5.

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Answer:

Step-by-step explanation:

TQ = 44 + 25 = 69°

QR = 180 - 25 = 155°

TS = 180 -(44 + 25) = 180 - 69 = 111°

SQR = 180 + 155 = 335°


RQT = 180 + 44 = 224°

Answer:

7x*sqrt(7)

Step-by-step explanation:

Simplify : sqrt(343x2)

STEP 1 : Simplify the Integer part of the SQRT

Factor 343 into its prime factors

343 = 73

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

49 = 72

Factors which will remain inside the root are :  7 = 7

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :7 = 7

At the end of this step the partly simplified SQRT looks like this:

7 • sqrt (7x2)  

STEP 2 : Simplify the Variable part of the SQRT

Rules for simplifying variables which may be raised to a power:

 (1) variables with no exponent stay inside the radical

 (2) variables raised to power 1 or (-1) stay inside the radical

 (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

(3.1) sqrt(x8)=x4

(3.2) sqrt(x-6)=x-3

(4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

 (4.1) sqrt(x5)=x2•sqrt(x)

(4.2) sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

SQRT(x2) = x

Combine both simplifications

 sqrt (343x2) = 7 x • sqrt(7)

Simplified Root :

7 x • sqrt(7)

                                             HOPE THIS HELPS

Answer:

The simplified value of the expression m/n if m=4/5 and n= −0.25 is -16.

Step-by-step explanation:

GIVE ME BRAINLEST!!!!!!!!!!!!!!!!!!!

We will use the "Either of the rules" to calculate the probability that either the top card is the ace of spades or the bottom card is the ace of spades.

The either of the rules states that the probability of either of two mutually exclusive events occurring is the sum of their individual probabilities. In this case, the events are the top card being the ace of spades and the bottom card being the ace of spades. Since the two events are mutually exclusive (the ace of spades cannot be both at the top and at the bottom of the deck), we can add their probabilities to get the total probability.

The probability of the top card being the ace of spades is 1/52 (since there is only one ace of spades in the deck of 52 cards), and the probability of the bottom card being the ace of spades is also 1/52 (assuming that the deck has been sufficiently shuffled). Therefore, the probability of either the top card or the bottom card being the ace of spades is:

P(top or bottom is ace of spades) = P(top is ace of spades) + P(bottom is ace of spades)

= 1/52 + 1/52

= 2/52

= 1/26

So the chance that either the top card is the ace of spades or the bottom card is the ace of spades is 1/26 or approximately 0.038 or 3.8%.

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The probability is 2/52 or 1/26.

To find the chance that the top card is the ace of spades or the bottom card is the ace of spades, you will use the

Addition rule.

Calculate the probability of the top card being the ace of spades:

There are 52 cards in a deck, and 1 ace of spades, so the probability is 1/52.

Calculate the probability of the bottom card being the ace of spades:

This is also 1/52 since there's still 1 ace of spades among the 52 cards.

Apply the Addition rule:

Add the probabilities together, then subtract the probability of both events happening at the same time (which is 0, as

the ace of spades can't be in both positions).

So, the probability is (1/52) + (1/52) - 0 = 2/52 or 1/26.

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401(k) investment has over other types of investments is the employer match and contribution.

The graphic shows that for the sample 401(k) investment, there is an annual contribution of $5,000 from the individual. Additionally, there is an employer match of 5% and an employer contribution of $2,500, bringing the total contribution to $7,500.

The advantage of this 401(k) investment is that the employer is providing additional funds towards the individual's retirement savings. The employer match means that for every dollar the individual contributes, the employer contributes an additional 5 cents. This is essentially free money added to the investment, which can significantly boost the overall savings over time.

Furthermore, the employer contribution of $2,500 further enhances the advantage of this 401(k) investment. This contribution is made by the employer without any additional cost to the individual, increasing the overall investment amount.

Compared to other types of investments, such as individual retirement accounts (IRAs) or taxable investment accounts, the employer match and contribution in a 401(k) provide an immediate boost to the individual's retirement savings.

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The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.

Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:

x² + (LV/2)² = DV²/4

y² + (OE/2)² = LE²/4

Simplifying each equation and substituting the given values, we get:

x² + (LV/2)² = 81/4

y² + (OE/2)² = 225/4

We also know that the diagonals bisect each other, so we can set up another equation:

LV/2 + OE/2 = LO = VE

Substituting the given value for LE, we get:

LV/2 + OE/2 = 15

Solving this equation for one of the variables, we get:

LV = 30 - OE

Substituting this expression into the first equation above, we get:

x² + ((30 - OE)/2)² = 81/4

Simplifying and rearranging, we get:

OE² - 60OE + 675 = 0

Using the quadratic formula, we get:

OE = (60 ± √(3600 - 2700)) / 2

OE = 15 or 45

If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:

x² + 7.5² = 81/4

y² + 7.5² = 225/4

Solving these equations, we get:

x = 3√7

y = 9/√7

If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:

LV = OE = 15

x = 3√7

y = 9/√7

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Complete question:

LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.