Is this associative property? Distributive? Or something else?

Answer:70,030 I hope u get a grade for what ever it

The rate column will be:

A= 30

B= 20

C= x miles

D= x miles

It should be noted that rate simply means the measure, quantity, or frequency that one measure against another quantity or measure.

In this case, Jorden drives to the store at 30 miles per hour and on her way home she averages only 20 miles per hour.

Therefore, the rate column will be:

A= 30

B= 20

C= x miles

D= x miles

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Fill out the Rate column in the table below. Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store? Fill out the Rate column in the table below. a = b =

Answer:

B

Explanation:

x = 5

2x + y = 10

Substitute x = 5 into 2x + y = 10

2(5) + y = 10

10 + y = 10

y = 0

Hence, coordinates are (5,0).

Answer:

x+y ≤20

3.50 x +8 y ≤150

Step-by-step explanation:

Hi, the rest of the question is:

How do you write a system of linear inequalities to model the situation?

So, for the first inequality:

The sum of the number of soil bags (x) and plants(y) bought must be less or equal to 20.

x+y ≤20

For the second inequality:

The product of the number of soil bags (x) and the price of each bag (3.50) ; plus the number of plants bought(y) and the price of each plant (8) must be less or equal to 150.

3.50 x +8 y ≤150

In conclusion, the system is:

x+y ≤20

3.50 x +8 y ≤150

Answer: This is correct already.

Step-by-step explanation:

Answer:

You are incorrect. The mean is the average. The correct answer is "The mean is greater than the average"

Answer:

Surface area of the composite figure = 508cm²

Step-by-step explanation:

Composite figures :- A composite shape is a 2D shape that is made from a combination of other basic 2D shapes and polygons. These shapes include squares, rectangles, triangles, circles.

Surface area of cuboid = 2(LB + LH + BH)

There are 2 cuboids in the question therefore solving them separately,

L = 12cm

B =  2cm

H = 10cm

putting these values in the above formula,

SA of bigger cuboid = 2(12×2 + 12×10 + 2×10)

                  SA           = 328cm²

L = 8cm

B =3cm

H = 6cm

SA = 2(8×3 + 8×6 + 3×6)

SA = 2×90

SA = 180cm²

now surface area of whole figure,

SA of bigger cuboid + SA of smaller cuboid

     328cm²   +    180cm²

       508cm² answer

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The value of the integral ∫ex dx over the curve x = y^3 from (-1, -1) to (1, 1) is not provided.

To evaluate the integral ∫ex dx over the curve x = y^3 from (-1, -1) to (1, 1), we need to parameterize the curve and then substitute it into the integral expression.

The given curve x = y^3 represents a relationship between the variables x and y. To parameterize the curve, we can express x and y in terms of a common parameter t. Let's choose y as the parameter:

x = (y^3) ... (1)

To find the limits of integration, we substitute the given points (-1, -1) and (1, 1) into equation (1):

For the point (-1, -1):

x = (-1)^3 = -1

y = -1

For the point (1, 1):

x = (1)^3 = 1

y = 1

Now we can rewrite the integral in terms of y and evaluate it:

∫ex dx = ∫e(y^3) (dx/dy) dy

To proceed further and determine the value of the integral, we need additional information such as the limits of integration or the specific range for y. Without this information, we cannot provide a numerical result for the integral.

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The probability that the iPhone will not die before t hours, given an average battery life of 10 hours, can be calculated using the exponential distribution. The reliability of the device is equal to the probability of surviving beyond t hours, which is given by the equation \(\[P(T > t) = e^{-\lambda t}\]\), where \(\(\lambda\)\) is the rate parameter. In this case, since the average battery life is 10 hours, \(\(\lambda = \frac{1}{10}\)\). Therefore, the probability of reliability is \(\[P(T > t) = e^{-\frac{t}{10}}\]\).

To find the probability of reliability, we use the exponential distribution formula. The exponential distribution is commonly used to model the time until an event occurs, such as the battery dying in this case. The rate parameter, \(\(\lambda\)\), is the reciprocal of the average time until the event occurs.

In this scenario, the average battery life is given as 10 hours. Therefore, the rate parameter \(\(\lambda\)\) is \(\(\frac{1}{10}\)\). The probability that the iPhone will not die before t hours is calculated by finding the complement of the probability that it will die before t hours.

The complement of the event "the iPhone will die before t hours" is "the iPhone will survive beyond t hours." This is represented as \(\(P(T > t)\)\), where T is the time until the battery dies.

Substituting the value of \(\(\lambda\)\) into the exponential distribution formula, we get \(\(P(T > t) = e^{-\frac{t}{10}}\)\). This equation gives us the probability that the iPhone will not die before t hours, which is the reliability of the device.

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Answer:

x=-5/6 , 6

Step-by-step explanation:

To find the missing side length, use the ratio of corresponding sides from the given similar triangles. The missing side length is 42.

Since triangles ABC and ADEF are similar, their corresponding sides are proportional. You can set up proportions using the given side lengths to find the missing side length. First, find the ratio of the corresponding sides:

5/35 = 8/56 = 6/x

Here, x is the missing side length. Now, let's solve for x:

5/35 = 6/x

Cross-multiply:

5x = 6 * 35

Now, divide by 5:

x = (6 * 35) / 5

Calculation steps:

1. Find the ratio of corresponding sides: 5/35 = 8/56 = 6/x
2. Set up the proportion: 5/35 = 6/x
3. Cross-multiply: 5x = 6 * 35
4. Divide by 5: x = (6 * 35) / 5
5. Calculate: x = 42

So, the missing side length is 42.

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Answer:

2

Step-by-step explanation:

14/2=7

34/2=17

The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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Answer:

I think it is 5

Answer:

1, 2, 3 and 6

Step-by-step explanation:

The factors of 24 are 1 & 24, 2 & 12, 3 & 8 and 4 & 6.

The factors of 30 are 1 & 30, 2 & 15, 3 & 10 and 5 & 6.

You can see that the numbers they have in common are 1, 2, 3 and 6.

Answer:

1, 2, 3, 6

Step-by-step explanation:

The factors listed are

24 : 1, 2, 3, 4, 6, 8, 12, 24

30 : 1, 2, 3, 5, 6, 10, 15, 30

The common factors to both are 1, 2, 3, 6

Answer:

44 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

xz=255

Step-by-step explanation:

17 is prime so yz has to be 1*17

if that's the case xy=15*1

so 15*17=255

Answer:

81

Step-by-step explanation:

Answer:

90%, Divide the numerator by the denominator to get fraction's value:

81/90 =

81 ÷ 90 =

0.9

Part A: the wavelength of light in glass is lambda = lambda_0 * n.
Part B: the wavelength of light in glass is lambda = lambda_0 * n/c.

Part A:

Since the frequency of the light remains constant in air and glass, we have:

v_air/lambda_0 = v_glass/lambda

Rearranging the above equation, we get:

lambda = lambda_0 * v_air/v_glass = lambda_0 * n

where n is the refractive index of the glass.

Therefore, the wavelength of light in glass is lambda = lambda_0 * n.

Part B:

Using the definition of the refractive index, we have:

n = c/v_glass

Rearranging the above equation, we get:

v_glass = c/n

Substituting the above value of v_glass in the expression derived in Part A, we get:

lambda = lambda_0 * v_air/v_glass = lambda_0 * v_air * n/c

Substituting v_glass = c/n in the above equation, we get:

lambda = lambda_0 * v_air/c * n

Therefore, the wavelength of light in glass is lambda = lambda_0 * n/c.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Let v be the wave's speed, lambda its wavelength, and f its frequency. These quantities are related via the equation v = \lambda f. Note that, if the wave speed decreases, the wavelength must also decrease for the frequency to remain constant.

Part A

What is the wavelength lambda of light in glass, if its wavelength in air is lambda_0, its speed in air is c, and its speed in the glass is v?

Express your answer in terms of lambda_0, c, and v.

Part B
The Index of refraction n for a material is defined to be n = c/v Rewrite your answer from Part A in terms of the refraction Express your answer In terms of lambda_n and n.

lambda=

The conditional probability that the size of the family is less than 6 given that it is at least 3 is 1.

To find the conditional probability that the size of the family is less than 6 given that it is at least 3, we need to use the formula for conditional probability.

Let's denote A as the event that the size of the family is less than 6, and B as the event that the size of the family is at least 3.

The conditional probability of A given B, denoted as P(A|B), is calculated as follows:

P(A|B) = P(A and B) / P(B)

First, we need to find P(B), the probability that the size of the family is at least 3. Since the family is selected at random, we can assume that all possible family sizes have an equal chance of being selected.

Let's assume the total number of possible family sizes is n. The probability of selecting a family with at least 3 members is the sum of the probabilities of selecting a family with exactly 3 members, exactly 4 members, and exactly 5 members.

P(B) = P(3) + P(4) + P(5)

Next, we need to find P(A and B), the probability that the size of the family is both less than 6 and at least 3. Since any family size less than 6 is also at least 3, P(A and B) will be the same as P(B).

Finally, we can substitute the values into the formula for conditional probability:

P(A|B) = P(A and B) / P(B) = P(B) / P(B) = 1

Therefore, the conditional probability that the size of the family is less than 6 given that it is at least 3 is 1.

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Answer:

2

Step-by-step explanation:

For an equation structured y = mx + b, m is the slope and b is the y-intercept. Therefore, 2 is the y-intercept.

To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.

Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.

Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.

(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.

Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.

Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.

(3) Show that HK=G.

To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.

Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.

Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.

(4) Show that G is a cyclic group.

Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.

Therefore, G is not a cyclic group.

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To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.

Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.

Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.

(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.

Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.

Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.

(3) Show that HK=G.

To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.

Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.

Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.

(4) Show that G is a cyclic group.

Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.

Therefore, G is not a cyclic group.

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The magnitude of the electric field can be calculated using the given information, and it is expressed in three significant figures with the appropriate units. The direction of the electric field can also be determined.

To calculate the magnitude of the electric field, we can use the equation E = V/d, where E represents the electric field, V is the voltage, and d is the distance. However, the given information does not include the voltage or distance. Therefore, it is not possible to determine the magnitude of the electric field without additional data.

Regarding the direction of the electric field, it is not explicitly mentioned in the given information. The direction of an electric field is typically indicated by an arrow pointing away from positive charges and towards negative charges. Without knowing the specific details of the scenario or the surrounding charges, it is not possible to determine the direction of the electric field accurately.

In conclusion, without more information such as the voltage and distance, it is not possible to calculate the magnitude of the electric field. Additionally, the direction of the electric field cannot be determined without knowledge of the surrounding charges or the specific scenario.

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The population in 2016, based on a consistent annual growth rate, will be approximately 30,287.

To find the population in 2016, we need to determine the consistent annual growth rate. We can calculate this by using the formula:

Population in 2010 = Population in 2000 × (1 + Growth Rate)^10,

where the growth rate is expressed as a decimal. Rearranging the formula, we can solve for the growth rate:

Growth Rate = (Population in 2010 / Population in 2000)^(1/10) - 1.

Substituting the given values, we have:

Growth Rate = (22,526 / 12,000)^(1/10) - 1.

Calculating this, we find that the growth rate is approximately 0.0726. Now, to determine the population in 2016, we use the formula:

Population in 2016 = Population in 2000 × (1 + Growth Rate)^16.

Substituting the known values, we get:

Population in 2016 = 12,000 × (1 + 0.0726)^16.

Calculating this, we find that the population in 2016 will be approximately 30,287.

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Answer:

A

Step-by-step explanation:

In this study on road rage, a random sample of 596 men and 523 women were surveyed about their driving behavior.

Based on their responses, each individual was assigned a road rage score on a scale of .

The road rage score scale should be selected according to the researcher's preference, and it should be explained.The researcher should clarify how the data was collected in order to improve the study's transparency and reliability.

ll of these aspects should be explained to make the research findings more reliable.The study's results should be presented in tabular or graphical format to better comprehend the data.

The researcher can use bar charts, pie charts, or histograms, among other things. The researcher should also utilize statistical tools such as mean, median, and mode to present the data's central tendency.

Based on the road rage score results, the study's conclusions and implications should be drawn.

The researcher should emphasize the gender-based findings of the study and discuss whether there is a difference between male and female road rage. Furthermore, the study should propose measures to reduce road rage among motorists.

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Step-by-step explanation:

the only question I see is : "what is the area of the puddle, when the employees arrive at 7 am ?".

well, in that case, it had rained for 4 hours with the hole in the roof (from 3am to 7am).

4 hours = 4×60 = 240 minutes.

that means the radius of the puddle grew to

240×0.1 = 24 cm

therefore the area of the puddle was

pi×r² = pi×24² = 576pi = 1,809.557368... cm² ≈

≈ 1,810 cm²