Find the surface area of the composite shape.
A: 2658.2m²
B: 257.97m²
C: 2501.2m²
D: 2579.7m²

Answer:

Step-by-step explanation:

X+y=8

X=2y-8

Answer:

8 lions 15 tigers

Step-by-step explanation:

The answer is 33.

A number is divisible by 9 if and only if the sum of its digits is divisible by 9. We can use this fact to count the number of a_n that are divisible by 9.

For any n, the sum of the digits in a_n is given by:

S_n = 1 + 2 + 3 + ... + n

This is the sum of an arithmetic sequence, which can be computed using the formula:

S_n = n(n+1)/2

Therefore, the sum of the digits in a_n is:

S_n = n(n+1)/2

We want to find the values of n for which S_n is divisible by 9. Since 9 is a factor of 3, we only need to consider the cases where n(n+1) is divisible by 3.

Case 1: n is divisible by 3

In this case, either n or (n+1) is divisible by 3. Therefore, S_n is divisible by 3, and hence by 9.

Case 2: n is not divisible by 3

In this case, neither n nor (n+1) is divisible by 3. Therefore, S_n is not divisible by 3.

Therefore, the only values of n for which S_n is divisible by 9 are those that are divisible by 3. There are 33 such values of n between 1 and 100 (namely, 3, 6, 9, ..., 99), so the answer is 33.

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Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

Answer:

yes it is I'm sure of it ok.

Answer:

X=0 or x=8/5

Step-by-step explanation:

Answer:

6296.5

Step-by-step explanation:

Cone volume: 622.0

Cylinder Volume: 5674.5

622+5674.5=6296.5

Answer:

Given :  A toy car is placed on the floor. Its movement details are given

To find : Distance covered by Car & graph to be plotted

Solution:

Start from rest

u = 0  at  t = 0

Constant acceleration for 3 sec reaching velocity 4 m/s

V = U +at

=> 4 = 0 +  a(3)

=>a = 4/3  m/s²

Distance here  S = ut + (1/2)at²

S = 0 + (1/2)(4/3)3²

=> S = 6 m

deceleration of 0.5 m/s² for 4 sec

=> v = 4  - (0.5)4

=> v = 2 m/s

Distance here   =  4(4)  - (1/2) (0.5)4²

= 16 - 4

= 12 m

Total Distance = 6 + 12 = 18 m

Total Distance traveled by toy Car = 18 m

Graph attached

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Figure given below shows the graph of velocity v ofparticle moving ...

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Figure given below shows the graph of velocity v ofparticle moving ...

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The graph represents Jason's speed on a recent trip. For which time ...

Step-by-step explanation:

Answer:

Step-by-step explanation:

Proportion of type O donors = 37/(37+43) = 37/80

300 × 37/80 = 138.75

139 donors out of 300 are type O.

A ratio shows us the number of times a number contains another number. The number of type O donors out of 300 is 139.

A ratio shows us the number of times a number contains another number.

Given that the ratio of type O to non-type O donors at a blood drive was 37:43. Therefore, the number of type O blood donors be represented by 37x and the number of non-type O blood donors be represented by 43x.

Now, the sum of type and non-type O donor is 300. Therefore, we can write,

37x + 43x = 300

80x = 300

x = 3.75

Further, the Number of type O donors out of 300 can be written as,

Number of type O donors out of 300 = 37x = 37(3.75) = 138.75 ≈ 139

Hence, the number of type O donors out of 300 is 139.

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Answer:

Step-by-step explanation: it is 0 the reason it is 0 is becasue it = it

The correct answer is c. 49%.

To calculate the shared variance, we need to square the correlation coefficient.
0.70 squared = 0.49
This means that 49% of the variance is shared variance between the two variables. Therefore, option c is the correct answer.

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If the correlation between variables is 0.70, what percent of the variance is shared varianceis c. 49%.

When the correlation between two variables is 0.70, it means that 49% of the variance is shared variance. This is because the correlation coefficient represents the strength and direction of the linear relationship between two variables, and the coefficient of edterminationd (r-squared) is the proportion of the variance in one variable that can be explained by the variance in the other variable. In this case, the r-squared is 0.70^2, which equals 0.49 or 49%.

Therefore, the answer to the question is that 49% of the variance is shared variance when the correlation between variables is 0.70.


The correct option is c. 49%.

To find the shared variance (also known as the coefficient of determination) between two variables, you need to square the correlation coefficient. In this case, the correlation coefficient is 0.70. When you square 0.70 (0.70 * 0.70), you get 0.49, which represents 49% shared variance.

If the correlation between variables is 0.70, the percent of the variance that is shared variance is 49%.

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The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .

In the question,

few statements about Correlation is given ,

we need to find the statement that is True .

we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,

the correlation can be negative , positive or 0 ,

and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .

So , from the above information about Correlation ,

we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "

Therefore , the statement in option (c) is True  .

The given question is incomplete , the complete question is

Select the statement below that is true about correlations.

(a) Correlations can only be negative

(b) Correlations are a measure of how much one variable changes as the other variable changes

(c) Correlations are a measure used to determine the degree to which two variables are related.

(d) Correlations are a measure of causation between two variables

(e) A negative correlation implies no relationship between variables

(f) Correlations can only be positive .

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Answer:

x = - 16

Step-by-step explanation:

Value of RHS is not given. If it's 0, then,

x + 4² = 0

x = 0 - 4²

x = 0 - 16

x = - 16

_______

Hope it helps ⚜

Answer:

x = -16

Step-by-step explanation:

=> x = ?

=> x + 4² = ?

=> x + 16 = ?

=> x = -16

Spike-and-slab regression is a method used to model the relationship between a response variable and a set of predictor variables, and nonlinear constraints can be applied to the model to specify relationships between the predictor variables, such as monotonicity or convexity.

Spike-and-slab regression is a statistical method used to model the relationship between a response variable and a set of predictor variables, where the predictor variables are partitioned into two groups: a set of important predictors (spikes) and a set of unimportant predictors (slabs). Nonlinear constraints can be applied to the model to specify relationships between the predictor variables, such as monotonicity or convexity. These constraints can be used to enforce prior knowledge or assumptions about the relationships between the predictor variables, and can help to improve the accuracy and interpretability of the model. Examples of nonlinear constraints that can be used in spike-and-slab regression include the convexity constraint and the total variation penalty.

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Answer: C.-1.5

Step-by-step explanation:

Given: The burning time of a very large candle is normally distributed with mean\((\mu)\) of 2500 hours and standard deviation\((\sigma)\) of 20 hours.

Let X be a random variable that represent the burning time of a very large candle.

Formula: \(Z=\dfrac{X-\mu}{\sigma}\)

For X = 2470

\(Z=\dfrac{2470-2500}{20}\\\\\Rightarrow\ Z=\dfrac{-30}{20}\\\\\Rightarrow\ Z=\dfrac{-3}{2}\\\\\Rightarrow\ Z=-1.5\)

So, the z-score they corresponds to a lifespan of 2470 hours. =-1.5

Hence, the correct option is C.-1.5.

Answer:

then do that same thing when she want to tell you something walk away give  her the same enegry as she gives you

Step-by-step explanation:

Answer:

The pizza restaurant put 1/10 of the sauce on each pizza.

Step-by-step explanation:

Take the 3/5, and on a calculator divide the 3 by the 5:

0.6

Then, take the 0.6 and divide it by the 6 pizzas:

0.1, converted into a fraction equals 1/10.

The pizza restaurant put 1/10 of the sauce on each pizza.

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The correct option is (a) two factors and three levels. The design has two factors (time of day) and three levels (7 a.m., noon, and 5 p.m.).

In this research design, the factor is the time of day and it has three levels: 7 a.m., noon, and 5 p.m. The researcher is conducting an ANOVA test to measure the influence of the time of day on reaction time.

The factor is the time of day, and it has three levels: 7 a.m., noon, and 5 p.m. The ANOVA test will help determine if there are any significant differences in reaction times between these three periods throughout the day.

Therefore, the design has two factors (time of day) and three levels (7 a.m., noon, and 5 p.m.). The ANOVA test will be used to analyze the influence of the time of day on reaction time.

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Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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Answer:

$24.25

Step-by-step explanation:

Given data

We are told that  1 ounce cost $4.12

Hence 6.25 ounces will cost x

cross multiply

x= 6.25*4.12

x=$25.75

This means that the cost of the 6.25 ounces is $25.75

If the teacher pays with a $50 bill, then her change is

=50-25.75

=$24.25

The value of the definite integral ∫[0,3] dx = x^2 + 1 is 3.

To evaluate the definite integral ∫[0,3] dx = x^2 + 1, we can apply the Fundamental Theorem of Calculus. According to the theorem, if F(x) is an antiderivative of f(x), then:

∫[a,b] f(x) dx = F(b) - F(a).

In this case, we have f(x) = 1, and its antiderivative F(x) = x. Therefore, we can evaluate the definite integral as follows:

∫[0,3] dx = F(3) - F(0) = 3 - 0 = 3.

So, the value of the definite integral ∫[0,3] dx = x^2 + 1 is 3.

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The "order quantity" can be either fixed (constant) in a continuous review system or variable in a periodic review system. It represents the quantity of items that are ordered to replenish the inventory.

In the context of inventory management, the "order quantity" refers to the quantity of a particular item or product that is ordered from a supplier or replenished in the inventory. The order quantity can vary depending on the specific inventory management system being used.

1. Fixed Quantity (Continuous Review) System: In a fixed quantity system, the order quantity remains constant or fixed for each replenishment order. When the inventory level reaches a predefined reorder point, a fixed quantity of items is ordered to bring the inventory back up to a predetermined maximum level.

2. Periodic Review (Variable Quantity) System: In a periodic review system, the order quantity can vary from one replenishment order to another. Instead of ordering a fixed quantity when the inventory reaches a reorder point.

The inventory level is reviewed periodically at specific intervals. During the review, the appropriate quantity needed to bring the inventory back to the desired level is determined and ordered.

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Answer:

x = 8

x = 21/14

x = 8

x = 15/21

x = 1/4

x = 7

Step-by-step explanation:

(For all instances of number, let it be x)

Double the sum of a number and 15. The result is the same as the product of 23 and the number.

2x + 15 = 23 + x

2x - x + 15 = 23 + x - x

x + 15 = 23

x + 15 - 15 = 23 - 15

x = 8

Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.

15x + 2 = 23 + x

14x + 2 = 23

14x = 21

x = 21/14

Double a number and add 15. The result is the same as the sum of 23 and the number.

2x + 15 = 23 + x

x + 15 = 23

x = 8

Double a number and add 15. The result is the same as the product of 23 and the number. (This time we will move the x to the other side as the right side has a larger x than the left side)

2x + 15 = 23x

15 = 21x

x = 15/21

Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.

15x + 2 = 23x

2 = 8x

2/8 = x

x = 1/4

Double the sum of a number and 15. The result is the same as the sum of 23 and the number.

2(x + 15) = 23 + x

2x + 30 = 23 + x

x + 30 = 23

x = 7

The final conclusion is that there is sufficient evidence to warrant the rejection of the claim that the population mean is not equal to 65.2.

What is the mean and standard deviation?

The mean and standard deviation are commonly used in various statistical analyses, such as hypothesis testing, probability distributions, and the characterization of data distributions. They provide valuable insights into the central tendency and variability of a dataset, allowing for comparisons and further statistical calculations.

To find the critical value for this test, we need to determine the z-score corresponding to the significance level of α = 0.05. Since this is a two-tailed test, we divide the significance level by 2 to get α/2 = 0.025 for each tail.

Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to α/2 = 0.025 is approximately 1.96.

The critical value for this test is ±1.96.

the formula to calculate the test statistic,

test statistic = (sample mean - population mean) / (standard deviation / √(sample size))

Plugging in the given values:

test statistic = (62 - 65.2) / (6.9 / √(42))

≈ -1.742

The test statistic is approximately -1.742.

Since the test statistic falls outside the critical region (which is defined by the critical values ±1.96), we fail to reject the null hypothesis.

The test statistic is not in the critical region.

Therefore, the final conclusion is that there is sufficient evidence to warrant the rejection of the claim that the population mean is not equal to 65.2.

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Answer: 8

Step-by-step explanation:

Answer: 8 pizzas.

Step-by-step explanation:If she is ordering 4 pizzas for 15 people then that simply means that the fraction is 4/15, 15*2 is 30, so that means that our next fraction (Equivalent fraction) will be like this 4/15 = -/30. What ever. Happens to the numerator must happen to the denominator and vice versa. So 4*2 is 8. So the answer is 8.

Answer:

The domain of the graph is (-infinity, infinity)

The range of the graph is [0, infinity)

Please mark as helpful if this is helpful!

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i dont know but i do know that OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

The value of g is  ±√[(3dx + cd)/2] .To solve the equation 2g²/d - c = 3x for g, we need to isolate the term with g and solve for it.

Explanation: Let's begin by rearranging the equation to isolate the term with g. We start with the equation: 2g²/d - c = 3x.First, we multiply both sides of the equation by d to eliminate the denominator: d * (2g²/d - c) = d * 3x. This simplifies to: 2g² - cd = 3dx.

Next, we move the term with g to one side of the equation by adding cd to both sides: 2g² = 3dx + cd.Then, we divide both sides by 2 to solve for g: g² = (3dx + cd)/2.

Finally, we take the square root of both sides to obtain the value of g: g = ±√[(3dx + cd)/2].Therefore, the solution for g is ±√[(3dx + cd)/2]. Keep in mind that the solution may have both positive and negative values due to the ± sign.

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The rejection region when n is large and the population standard deviation is known for a two-tailed test with a 0.05 significance level is between ±1.96. The correct option is A.

A two-tailed test is a statistical test that tests whether a sample average is significantly different from either the average of a population, a specified average, or another sample average. When a two-tailed test is conducted, the null hypothesis is rejected if the test statistic falls in either the left tail or the right tail of the distribution.

The significance level (α) is a statistical term used to compare the null hypothesis of a test with the actual data. When calculating the significance level, you determine the probability of a given sample outcome if the null hypothesis is true. If the probability of obtaining the sample outcome is less than the significance level, the null hypothesis is rejected.

The significance level is calculated using a critical value. The critical value is calculated based on the distribution of the test statistic, the desired confidence level, and the degrees of freedom. For a two-tailed test with a 0.05 significance level, the critical value is ±1.96.

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Therefore, the probability that a randomly selected value is between 215.2 and 241 is approximately 0.1366.

To solve this problem, we need to standardize the values using the z-score formula:

z = (x - μ) / σ

where x is the value of interest, μ is the mean, and σ is the standard deviation.

For the value of 215.2:

z1 = (215.2 - 193.6) / 43.1 = 0.4995 (rounded to 4 decimal places)

For the value of 241:

z2 = (241 - 193.6) / 43.1 = 1.0912 (rounded to 4 decimal places)

Now we can use a standard normal table or calculator to find the area under the standard normal curve between these two z-scores:

P(0.4995 < Z < 1.0912) = 0.1366

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Answer:

49pi m^2

Step-by-step explanation:

Area of circle=pi r^2

D=2r=14

r=7

Area of circle =7^2pi=49pim^2

Answer:

Step-by-step explanation:

The diameter = 14m

r = d/2

r = 14/2

r = 7

Area = pi * r * r

Area = 7 * 7 * pi

Area = 49 pi