find the solution set y^2=144 separate the two values with a comma

Answer:

28200

24700+3500=28200.

The plane was at 28200 feet then it desended 3500 feet then it was at 24700 feet.

The sample proportion is of the given question is ,

800/1200 = 2/3  and the population proportion is unknown and it will have to be estimated using sample proportion , i.e., 0.666.

population = 800

sample = 1200

population proportion = 1 - sample proportion

= 0.334

To develop a 99 percent confidence interval for the population proportion

Let X = the number of people in the sample who have cell phones. X is binomial.

null hypothesis : a legislator states that 4/5 of homeowners would switch

alternate hypothesis : a legislator states that 4/5 of homeowners would not switch

To calculate the confidence interval,

n = 800

x = the number of successes = 1200

p = n / x = 800 / 1200 = 0.666

p = 0.666is the sample proportion.

Population proportion=

q= 1 – p = 1 – 0.666= 0.334

CI = 99% given .

Therefore,

| z |= √pq / n

  =√ 0.222/800

  = 0.1665

Now, | z | is smaller than Z-alpha , hence we accept the null hypothesis.

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1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Answer:

1.92

Step-by-step explanation:

to find the unit cost you just divide 5.76 by 3

5.76/3 = 1.92

Answer: 72

i looked it up it so it should be right

Answer:

15

Step-by-step explanation:

15 is not a prime number, but it is composite.

This means that the left half of the occipital lobe processes visual information from the right side of the body, and vice versa.So, the correct option is d, 30%.

The answer to the question is d, 30%.According to the video, approximately 30% of our brains are dedicated to decoding images. When we see an image, our brains immediately decode it into color, depth, and other visual information. This visual processing is carried out in the occipital lobe, which is located in the rear part of the brain.The occipital lobe is divided into two halves, one on each side of the brain. Each half is responsible for processing visual information from the opposite side of the body. This means that the left half of the occipital lobe processes visual information from the right side of the body, and vice versa.So, the correct option is d, 30%.

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A graph of this sine function f(x) = 2sin3(x − 2π) + 1 is shown below.

The graph of f⁻¹(x) will have a domain of: C. −1 ≤ x ≤ 3.

In this exercise, we would use an online graphing tool plot the given sine function f(x) = 2sin3(x − 2π) + 1 on a graph as shown in the image attached below.

In order to determine the inverse of this sine function, we would have to swap (interchange) both the independent value (x-value) and dependent value (y-value) as follows;

f(x) = y = 2sin3(x − 2π) + 1

x = 2sin3(y − 2π) + 1

x - 1 = 2sin3(y − 2π)

(x - 1)/2 = sin3(y − 2π)

\(\frac{sin^{-1}(\frac{x\;-\;1}{2} )}{3} =y-2 \pi\\\\f^{-1}(x) = \frac{sin^{-1}(\frac{x\;-\;1}{2} )}{3} +2 \pi\)

By critically observing the graph of f⁻¹(x) shown below, we can logically deduce the following domain:

Domain = [-1, 3] or −1 ≤ x ≤ 3.

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The answer is low using correlation.

What is correlation?

The terms "co" and "relation" are combined to form the word "correlation." Correlation is the relationship between any set of data when taken as a whole because the term "co" signifies together.

The correlation coefficient, which in statistics is a number between -1 and +1, measures the linear dependency of the collection of data.

It cannot capture nonlinear correlations between two variables and only assesses the magnitude and direction of the linear link between the two variables.

The difference between dependent and independent variables is not possible.

In the question, it is given that there is a high positive correlation between x and y, which means for every increase in x there is a corresponding increase in y

So if x is having low score, than y is also having low score

Hence the answer is low.

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I believe you are trying to find the most Cheapest cost?

Since the area had to be 1200m^2 the most biggest numbers we could divide with is 30 x 40, which equals to 1200.

30 x 20 (expensive one the lower) = 600 (wall 3) + 20 x 20 = 1000 (wall 3 + wall 1)

40 x 13 (cheapter one the higher) = 520 (wall 4) + 32 x 13 = 936 (wall 4 + wall 2)

Add all together, $1936 to build the whole fence.

(I don't know for sure if I am right. If I am right, can I have a brainliest?)

(i) Assumptions of classical linear regression: linearity, independence, homoscedasticity, no perfect multicollinearity, zero conditional mean, and normality. Violation: perfect multicollinearity between X2, X3, and X4.

(ii) Omitted variable bias occurs when X4 is omitted from the model, leading to a biased estimate of β2 compared to α2 if X2 and X4 are correlated.

In the given model, the assumption of no perfect multicollinearity is violated when the regressors X2, X3, and X4 are defined as the log of per capita GDP, the log of the square of per capita GDP, and the proportion of population with graduation, respectively. X3 is a function of X2, and X4 may be correlated with both X2 and X3. This violates the assumption that the independent variables are not perfectly correlated with each other.

Omitted variable bias in β2 compared to α2 occurs when X4 is omitted from the model. This bias arises because X4 is a relevant explanatory variable that affects the dependent variable (Y), and its omission leads to an incomplete model. The bias in β2 arises from the correlation between X2 and X4. If X2 and X4 are not correlated, β2 will equal α2, and there will be no omitted variable bias. However, if X2 and X4 are correlated, omitting X4 from the model will result in a biased estimate of β2 because the omitted variable (X4) affects both Y and X2, leading to a bias in the estimation of the relationship between Y and X2.

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The interval of convergence, I, is (7 - R, 7 + R), which in this case is (7 - 1, 7 + 1) = (6, 8).

To find the radius of convergence, R, of the series, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is L as n approaches infinity, then the series converges if L < 1 and diverges if L > 1.

In this case, the series is given by:

∑ (n = 0 to ∞) [(x - 7)^n * (n^3 + 1)]

Let's apply the ratio test to find the radius of convergence, R:

lim (n → ∞) |[(x - 7)^(n+1) * ((n+1)^3 + 1)] / [(x - 7)^n * (n^3 + 1)]|

Simplifying the expression:

lim (n → ∞) |(x - 7) * ((n+1)^3 + 1) / (n^3 + 1)|

As n approaches infinity, the 1 terms become negligible compared to the other terms:

lim (n → ∞) |(x - 7) * (n^3 + 3n^2 + 3n + 1) / n^3|

Using the fact that lim (n → ∞) (1 + 1/n) = 1, we can simplify further:

lim (n → ∞) |(x - 7) * (1 + 3/n + 3/n^2 + 1/n^3)|

Taking the absolute value:

| x - 7 | * 1

Since the limit does not depend on n, we can take the absolute value of x - 7 outside of the limit:

| x - 7 | * lim (n → ∞) (1 + 3/n + 3/n^2 + 1/n^3)

The limit evaluates to 1:

| x - 7 |

For the series to converge, | x - 7 | < 1. Therefore, the radius of convergence, R, is 1.

To find the interval of convergence, I, we need to determine the values of x for which the series converges. Since the center of the series is 7, the interval of convergence will be centered around x = 7 and will extend R units to the left and right.

Therefore, the interval of convergence, I, is (7 - R, 7 + R), which in this case is (7 - 1, 7 + 1) = (6, 8).

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Answer:

There are 220 students at Marie's school :)

Answer:

I would think its C

Step-by-step explanation:

Since you are subtracting 15 from 275, it would be 275-15

i am assuming you dont need any help on the variables, so I hope this helps :)

If i am wrong, please let me know :DD

have a nice day, *insert preferred referral here*!!

The function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks is G(t) = 275 - 15w and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks:

Step 1 - Let the total number of weeks be 'w'.

Step 2 - So, the total amount of water reduced from the tank is:

= 15w

Step 3 - So, the function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks is given below:

G(t) = 275 - 15w

Therefore, the correct option is B).

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The fraction of the 30 cakes does Simon have left with os 7/10

A fraction is a part of a whole number, and a way to split up a number into equal parts.

Given that, Simon makes 30 cakes, he gives 1/5 of the cakes to Sali, he gives 10% of the 30 cakes to Jane,

We need to find, what fraction of the 30 cakes does Simon have left,

Number of cakes given to Sali = 1/5 of 30

= 30 / 5 = 6

That mean, Sali got 6 cakes out of 30.

Number of cakes given to Jane = 10% of 30

= 30 × 10/100

= 300 / 100

= 3

That mean, Jane got 3 cakes, out of 30.

The remaining number of cake = 30 - (6+3)

= 30 - 9

= 21

Therefore, the fraction of cakes left = 21 / 30

= 7/10

Hence, the fraction of the 30 cakes does Simon have left with os 7/10

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No. of pennies and nickels are 53 and 29 respectively

Let the number of pennies be x

Let the number of nickels be y

Value of pennies = $0.01x

Value of nickels = $0.05y

It is given that value of pennies and nickels = $1.98

Therefore the equation will be,

0.01x + 0.05y = 1.98

x + 5y = 198------(1)

Also, the number of pennies is five less than twice of nickels

x = 2y - 5

2y - x = 5 -------(2)

Adding equations (1) and (2) we get,

(x + 5y) + (2y - x) = 203

7y = 203

y = 29

Substituting the value of y in equation (1) we get,

x = 53

Therefore, the no. of pennies is 53 and the no. of nickels is 29

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Answer:

676

Step-by-step explanation:

d1×d2/2

42×56/2

1352/2=676

please check it by doing again

Answer:

1176

Step-by-step explanation:

=a half the product of its diagonals

=1/2(42x56)

=1176

Answer: 44800000

Step-by-step explanation:56000 x 800=44800000

44800000÷56000=800

Answer: 69

Step-by-step explanation:

The two angles are a linear pair, which means that they lie on the same line. Therefore, you just have to substract angle 1 with 180.

180-111=69

The server's utilization can be calculated by subtracting the idle time from the total time and expressing it as a percentage.

In this case, the server is idle 5% of the time, which means it is active 95% of the time. Utilization is a measure of how efficiently a server is being used, indicating the proportion of time it is occupied with processing tasks.

A server utilization of 95% implies that the server is highly utilized and operating at a high capacity most of the time. This indicates that there is minimal idle time and the server is effectively handling incoming requests or performing tasks. High utilization is generally desirable as it maximizes the server's efficiency and productivity. However, it's important to monitor the utilization regularly to ensure it doesn't reach 100% or exceed the server's capacity, which could lead to performance issues or resource constraints.

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-78

Step-by-step explanation:

(7-8)(78)

(-1)(78)=-78

Answer:

A. 1.4x and C. 1/2x

Step-by-step explanation:

Relationship A is 4/2x which is 2x. So everything lower than y=2x would be the answer.

Answer:

y=1.4x

y=1/2x

Step-by-step explanation:

the correct answer

Answer:

-28° C

Step-by-step explanation:

First, find how many hours are between 5 am and 4 pm:

This will be 11 hours

Then, multiply 11 by -3 since it decreases by 3 each hour:

11(-3)

= -33

Then, subtract 33 from 5

5 - 33

= -28

So, it will be -28° C by 4 pm

Answer:

k divided by three plus sixteen

Step-by-step explanation:

Answer: 5/4 or 1 1/4

Step-by-step explanation:

You have to get a common denominator so you would multiply 1/2 by 2/2 so the denominators are the same. After multiplying you would get 2/4. Then plug in the values in the equation and solve. 2/4 + 3/4 = 5/4 or 1 1/4. Hope this helped :)

Answer:

Option (3)

Step-by-step explanation:

Equations of the different conic sections are,

Circle → x² + y² = r²

Ellipse → \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

Parabola → y = ax²

Hyperbola → \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\)

Given equation in the question is,

\(y=\frac{1}{8}x^{2}\)

Which matches to the equation of a parabola,

y = ax²

Therefore, equation fits to a parabola.

Option (3) will be the answer.

Answer:

c. po dahil Wala po Dian Ang answer

Step-by-step explanation:

sana po makatulong

The 95% confidence interval for the population mean of Gold Prices is ($1311.53, $1425.43). The 95% confidence interval for the population mean of Maximum Daily Temperature is (80.07°F, 88.19°F). The width of the Gold Prices confidence interval is larger than the width of the Maximum Daily Temperature confidence interval, indicating that the estimate of the population mean for Gold Prices is less precise.

For the Gold Prices:

To construct a 95% confidence interval for the population mean, we can use the z-distribution since the population standard deviation is known.

The z-distribution critical value for a 95% confidence level is approximately 1.96.

The margin of error (E) can be calculated as \(E = z \times \frac{\sigma}{\sqrt{n}}\), where z is the critical value, σ is the population standard deviation, and n is the sample size.

\(E = 1.96 \times \frac{14.56}{\sqrt{64}} \approx 4.06^{\circ}F\)

The confidence interval can be calculated as:

($1368.48 - $56.95, $1368.48 + $56.95) = ($1311.53, $1425.43)

Therefore, the 95% confidence interval for the population mean of Gold Prices is approximately ($1311.53, $1425.43).

Interpretation: We are 95% confident that the true population mean of Gold Prices lies within the range of $1311.53 to $1425.43. This means that if we were to take multiple random samples and construct confidence intervals, approximately 95% of these intervals would contain the true population mean.

For the Maximum Daily Temperature:

Similar to the Gold Prices example, we can use the z-distribution to construct a 95% confidence interval for the population mean.

The z-distribution critical value for a 95% confidence level is approximately 1.96.

The margin of error (E) can be calculated as \(E = z \cdot \frac{\sigma}{\sqrt{n}}\), where z is the critical value, σ is the population standard deviation, and n is the sample size.

\(E = 1.96 \times \frac{14.56}{\sqrt{64}} \approx 4.06^{\circ}F\)

The confidence interval can be calculated as:

(84.13 - 4.06, 84.13 + 4.06) = (80.07°F, 88.19°F)

Therefore, the 95% confidence interval for the population mean of Maximum Daily Temperature is approximately (80.07°F, 88.19°F).

Interpretation: We are 95% confident that the true population mean of Maximum Daily Temperature lies within the range of 80.07°F to 88.19°F. This means that if we were to take multiple random samples and construct confidence intervals, approximately 95% of these intervals would contain the true population mean.

When comparing the widths of the confidence intervals, we can see that the width of the Gold Prices confidence interval ($113.90) is larger than the width of the Maximum Daily Temperature confidence interval (8.12°F). This indicates that the estimate of the population mean for Gold Prices is less precise compared to the estimate for Maximum Daily Temperature, as the range of possible values is wider.

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The area of the original garden is 7200 square feet.

Given,

a rectangular garden has a length that is twice its width. the dimensions are increased so that the perimeter is doubled and the new shape is a square with an area of 3600 square feet.

we are asked to determine the area of the original garden = ?

let the width be x

and the length be 2x

area of the square = 3600 sq feet

Perimeter of the rectangle = 2(l+b)

⇒ 2(2x+x)

⇒ 2(3x)=6x

area of square = a²

a² = 3600

a = √3600

a = 60

now we get the width = 60

length = 2(60)

= 120

Now calculate the area of the rectangle:

= l×b

= 60 × 120

= 7200

hence we get the area as 7200 square feet.

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The domain of the function shown in the graph above include the following: D. {x|x ≥ -4}.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By using set builder notation, the domain of this function shown in the graph above can be written as follows;

Domain = {-4, ∞}

Domain = {x|x ≥ -4}

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Answer:

5.5

Step-by-step explanation:

Median = middle number of number set

Arrange from least to greatest:

1 2 3 4 5 6 7 8 9 10

Middle numbers: 5 and 6

Find avergae of 5 and 6: (5+6)/2 = 5.5

Thus, median = 5.5

Answer:

5.5

Step-by-step explanation:

The median is the number in the middle of a data set.

First, lets arrange the numbers from least to greatest:

1,2,3,4,5,6,7,8,9,10

Now, cross one number off each end of the data set until we reach the middle.

1,2,3,4,5,6,7,8,910

2,3,4,5,6,7,8,9

3,4,5,6,7,8

4,5,6,7

5,6

There isn’t one number in the middle, there is 2 numbers(5 and 6). Therefore, we need to average the numbers.

Add the numbers, then divide by 2. We divide by 2, because there are 2 numbers.

Add: 5+6=11

Divide by 2: 11/2=5.5

Therefore, the median is 5.5