Two families are going sailing. Family A leaves the marina and sails 2.3 miles due north, then sails 3 miles due west. Family B leaves the marina and sails 2.3 miles due south, then sails 3 miles in a direction 1° north of due east.

Which family is farther from the marina? Explain your reasoning.

Answer:

your anwser is 1085

Step-by-step explanation:

Answer:-2x=y

4x+10y=16

2x+5y-8=0

x=4

Answer is x=4

Step-by-step explanation:

In the given triangle MNO, the length of MN is 10

From the question, we are to determine the length of the unknown side in the triangle

The side is MN

From the given information, we have that  

In ΔMNO,

∠M ≅ ∠O

Thus,

ΔMNO is an isosceles triangle

Since angle M is congruent to angle O, the sides facing the two angles will also be congruent.

That is,

NO ≅ MN

From the given information,

NO = 10

Therefore,

MN = 10

Hence, the length of MN is 10

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Answer:

The value of y in the equation is 10

Step-by-step explanation:

3y = 22 + 8

3y = 30

y = 30/3

Therefore; Y = 10

49 students should be sampled to be within 0.5 drinks of the population mean with 95% probability. This result is obtained using the Z–distribution.

Z- distribution is one of the cases of normal distribution . On the basis of the given we are using Z-Score formula ,

Z = (x- μ) / σ/√n

Where , Z→ z- value corresponding to confidence level

x – μ → margin of error

σ → standard deviations

n → sample size

We have given , σ = 1.79 and confidence level 95% = 0.95 then

z-value for 0.95 is 1.96 ( from z-table )

Margin of error is difference between population mean and sample mean and here it’s 0.5..

We shall find out the value n i.e., sample size or the number of students

Put all the values in z-score formula we get,

1.96 = 0.5 / 1.79/√n

=> √n = (1.96×1.79)/ 0.5

=> √n= 7.01 => n= 49

So, the sample size is 49 .

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To compare mean head circumferences between the two groups, perform a hypothesis test using the independent samples t-test.

The independent samples t-test is appropriate when comparing the means of two independent groups. In this case, the two groups are the babies exposed to marijuana during pregnancy and the babies not exposed to marijuana.

Here are the steps for performing the independent samples t-test:

Null Hypothesis (H₀): The mean head circumferences of the two groups are equal.

Alternative Hypothesis (Hₐ): The mean head circumferences of the two groups are different.

Calculate the t-statistic:

Compute the difference in sample means: (mean of group not exposed) - (mean of group exposed)

Calculate the standard error of the difference in means using the formula:

standard error =  \(\sqrt{s_{1} ^{2}/n_{1}+s_{2}/n_{2} }\))

where s₁ and s₂ are the standard deviations of the two groups, and n₁ and n₂ are the sample sizes.

Calculate the t-statistic using the formula:

t = (mean difference - hypothesized difference) / standard error

Determine the degrees of freedom (df). For independent samples t-test, the degrees of freedom can be calculated as:

df = n₁ + n₂ - 2

where n₁ and n₂ are the sample sizes of the two groups.

Determine the critical value or p-value. Using the calculated t-statistic and degrees of freedom, you can look up the critical value from a t-distribution table or use statistical software to calculate the p-value.

Compare the obtained t-value with the critical value or p-value:

If the obtained t-value is greater than the critical value (or if the p-value is less than the significance level, often 0.05), reject the null hypothesis and conclude that there is a significant difference in the mean head circumferences between the two groups.

If the obtained t-value is less than the critical value (or if the p-value is greater than the significance level), fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference in the mean head circumferences.

Remember, you have been given a confidence interval for the difference in mean circumferences. This can be used to inform your hypothesis test by checking if the hypothesized difference of 0 falls within the confidence interval.

By following these steps, you can perform an independent samples t-test to compare the mean head circumferences between the two groups and determine if there is a significant difference.

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there is a related property known as the chain rule which can be used to differentiate a difference of functions.

The correct response is: c. Only statement i is true.

Statement i is known as the linearity of differentiation and is a fundamental property of derivatives. It states that the derivative of a sum of functions is equal to the sum of their derivatives.

On the other hand, statement ii is not true in general. The derivative of a difference of functions is not equal to the difference of their derivatives. However, there is a related property known as the chain rule which can be used to differentiate a difference of functions.

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Answer:sorry its c

Step-by-step explanation:

The mean value of Keisha’s data is 1.333333.

The mean is the average of a set of variables in mathematics and statistics. There are several methods for computing the mean, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations),

We have the data,

0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2.

So, the mean value of data is

= (0 +1 + 0 + 2 + 2 + 1 + 3 + 0 + 4 + 0 + 1 + 2)/12

= 16/12

= 4/3

= 1.33333

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Answer:

5h + 2g = 23

Step-by-step explanation:

The number of different ways one can navigate the given grid so that every square is touched exactly once is (N-1)²!.

In order to navigate a grid, a person can move in any of the four possible directions i.e. left, right, up or down. Given a square grid, the number of different ways one can navigate it so that every square is touched exactly once can be found out using the following algorithm:

Algorithm:

Use the backtracking algorithm that starts from the top-left corner of the grid and explore all possible paths of length n², without visiting any cell more than once. Once we reach a cell such that all its adjacent cells are either already visited or outside the boundary of the grid, we backtrack to the previous cell and explore a different path until we reach the end of the grid.

Consider an N x N grid. We need to visit each of the cells in the grid exactly once such that the path starts from the top-left corner of the grid and ends at the bottom-right corner of the grid.

Since the path has to be a cycle, i.e. it starts from the top-left corner and ends at the bottom-right corner, we can assume that the first cell visited in the path is the top-left cell and the last cell visited is the bottom-right cell.

This means that we only need to find the number of ways of visiting the remaining (N-1)² cells in the grid while following the conditions given above. There are (N-1)² cells that need to be visited, and the number of ways to visit them can be calculated using the factorial function as follows:

Ways to visit remaining cells = (N-1)²!

Therefore, the total number of ways to navigate the grid so that every square is touched exactly once is given by:

Total ways to navigate grid = Ways to visit first cell * Ways to visit remaining cells

= 1 * (N-1)²!

= (N-1)²!

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we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

Answer:

x = 6°

Step-by-step explanation:

We know that all the interior angles of a triangle sum up to 180°.

(7x+3)°+(80°)+(55°) = 180°

(7x+3)°+(135°) = 180°

(7x+3)°= 45°

7x = 42°

x = 6°

\( \frac{q}{7} + 1 > - 5➡q > - 42\)

\(\dfrac q7 + 1 > -5\\\\\implies \dfrac q7 > -5-1\\\\\\\implies \dfrac q7 > -6\\\\\\\implies q > -42\\\\\text{Interval,} ~ (-42, \infty)\)

Answer:

yes it is correct -2x=10

Answer:

the missing side of triangle is

\( \sqrt{y {}^{2} - {26}^{2}} \)

Answer:

Step-by-step explanation:

Use trigonometry:

The response of the LTI system to the input x(t) = 4 + 4 cos(t) + 2 cos(2t) is y(t)= 24 + 8 cos(t) + 6 cos(2t).

Given input-output pairs x(t)→LTI→y(t) occur an LTI system:

-x(t) = 1+2cos(t)+3cos(2t) and

y(t)=6cos(t)+6cos(2t)

The required input is x(t)=4+4cos(t)+2cos(2t).

This question can be solved by following the below steps:

Step 1: Finding the response to 4

Step 2: Finding the response to 4 cos(t)

Step 3: Finding the response to 2 cos(2t)

Step 4: Combining the individual responses to find y(t)

Thus, the response of the LTI system to the input x(t) = 4 + 4 cos(t) + 2 cos(2t) is y(t)= 24 + 8 cos(t) + 6 cos(2t).

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The greatest common divisor (gcd) of 144 and 89 can be expressed as a linear combination of 144 and 89 as follows: gcd(144, 89) = 1 = (-21) * 144 + 34 * 89.

To express the gcd (144, 89) as a linear combination of 144 and 89, we can use the extended Euclidean algorithm. This algorithm finds the gcd of two numbers and also provides coefficients that represent the linear combination.

We start with the given numbers: a = 144 and b = 89.

Apply the Euclidean algorithm to find the gcd:

Divide 144 by 89: 144 = 1 * 89 + 55

Divide 89 by 55: 89 = 1 * 55 + 34

Divide 55 by 34: 55 = 1 * 34 + 21

Divide 34 by 21: 34 = 1 * 21 + 13

Divide 21 by 13: 21 = 1 * 13 + 8

Divide 13 by 8: 13 = 1 * 8 + 5

Divide 8 by 5: 8 = 1 * 5 + 3

Divide 5 by 3: 5 = 1 * 3 + 2

Divide 3 by 2: 3 = 1 * 2 + 1

Divide 2 by 1: 2 = 2 * 1 + 0

The last non-zero remainder obtained is 1, which means the gcd is 1.

Now, we work backwards through the algorithm to find the coefficients:

From 3 = 1 * 2 + 1, we can express 1 as a linear combination of 2 and 3: 1 = 3 - 1 * 2

Substitute 2 = 5 - 1 * 3 from the previous step: 1 = 3 - 1 * (5 - 1 * 3) = 2 * 3 - 1 * 5

Continue substituting until we reach the original numbers:

1 = 2 * 3 - 1 * 5 = 2 * (5 - 1 * 3) - 1 * 5 = 2 * 5 - 3 * 5 = 2 * 5 - 3 * (8 - 1 * 5)

Repeat until we get the desired linear combination:

1 = 2 * 5 - 3 * (8 - 1 * 5) = 2 * 5 - 3 * 8 + 3 * 5 = (-3) * 8 + 5 * 5 - 3 * 8 = 5 * 5 - 6 * 8

Substitute 8 = 13 - 1 * 5: 1 = 5 * 5 - 6 * (13 - 1 * 5) = 11 * 5 - 6 * 13

Repeat the process until we reach the original numbers:

1 = 11 * 5 - 6 * 13 = 11 * (13 - 1 * 8) - 6 * 13 = 11 * 13 - 11 * 8 - 6 * 13 = (-17) * 8 + 11 * 13

Substitute 13 = 21

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9 + x

sum = addition so the answer would be 9 + ×

Answer:

as a Decimal it would be 0.008 as a fraction it would be \(\frac{1}{125}\)

Step-by-step explanation:

hope it helps u

Answer:

Number of flowers planted planted by Charlie per day = 72

Step-by-step explanation:

Given:

Dora can plant 150 flowers and Charlie plants 120 flowers in same time.

Dora can plant 18 flowers more per day than that of Charlie.

To find:

Flowers that can be planted by Charlie per day = ?

Solution:

Let the time taken by Dora to plant 150 flowers = T days

So, T will be the time taken by Charlie to plant 120 flowers.

Number of flowers planted by Dora per day = Total Number of flowers planted by Dora divided by number of days

Number of flowers planted by Dora per day = \(\frac{150}{T}\)

Similarly, Number of flowers planted by Charlie per day = Total Number of flowers planted by Charlie divided by number of days

Number of flowers planted by Charlie per day = \(\frac{120}{T}\)

As per condition given:

\(\dfrac{150}{T} = \dfrac{120}{T} +18\)

Solving the above equation by taking LCM:

\(\Rightarrow \dfrac{150}{T} = \dfrac{120 +18T}{T}\\\Rightarrow 150=120+18T\\\Rightarrow 18T = 30\\\Rightarrow T = \dfrac{30}{18}\\\Rightarrow T = \dfrac{5}{3}\ days\)

Number of flowers planted by Charlie per day = \(\frac{120}{T}\) = \(\frac{120\times 3}{5} = 72\)

So, answer is:

Number of flowers planted planted by Charlie per day = 72

Answer:

235cm2

Step-by-step explanation:

explanation in the attachment

Answer:

area = 235 cm²

Hope it will help

The rows selected for the predicate "enrol_mark >= 50" by the DBMS will include all rows where the value of the column "enrol_mark" is greater than or equal to 50.

In a DBMS (Database Management System), a predicate is a condition or criteria used to filter and select specific rows from a database table. In this case, the predicate "enrol_mark >= 50" indicates that we are interested in selecting rows where the value of the "enrol_mark" column is greater than or equal to 50.

When the DBMS evaluates this predicate, it will scan the table and compare the value of the "enrol_mark" column for each row. If the value is greater than or equal to 50, the row will be selected and included in the result set. Rows with "enrol_mark" values less than 50 will not be included in the result set.

It's important to note that the actual rows selected by the DBMS will depend on the specific data in the table. If there are rows where the "enrol_mark" column has values greater than or equal to 50, those rows will be selected. If there are no such rows, then the result set will be empty.

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