At a local restaurant the amount of time that customers have to wait for their food is normally distributed with a mean of 42 minutes and a standard deviation of 2 minutes. using the empirical rule, what percentage of customers have to wait between 36 minutes and 48 minutes?

Answer: 20%

Step-by-step explanation:

Answer: 2 is the maximum number of gigabytes

Step-by-step explanation:

Step-by-step explanation:

1/3 B H

B = 5 x 5

H = 8.4

solve

Answer:

21a-14b

15b-20a

Step-by-step explanation:

Answer: a + 3b

Step-by-step explanation:

Okay, so...

7(3a - 2b) = 7(3a) - 7(2b) ... distributive property

21a - 14b

5(3b - 4a) = 5(3b) - 5(4a) ... distributive property

15b - 20a

(21a - 14b) + (15b - 20a) = 21a -12b + 15b - 20a =

a + 3b

i does an experiment where she picks a block out of a bag without looking 50 times, putting it back each time. She picks a green block 32 times. If the bag has 8 blocks, how many do you think are green

The statement for the associative property of multiplication is given as follows:

(3 × 8) × 6 = 3 × (8 × 6).

The associative property of multiplication states that the way in which factors are grouped in a multiplication problem does not change the product.

This means that when we have more than two factors, the order in which they are multiplied will not change the result of the multiplication.

Hence the statement is given as follows:

(3 × 8) × 6 = 3 × (8 × 6).

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Answer:jusk click that the answer is there i hope its correct correct me if im wrong

Step-by-step explanation:

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

Yes, the large-sample confidence interval will be valid.

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.

The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.

A sample is considered large when n ≥ 30.

By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.

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Answer:

549 ft

Step-by-step explanation:

take 670ft away from 1,220 ft ( not all the way sure of I'm right)

Answer:

550

Step-by-step explanation:

1,220+(-670)= 550

Thank you! :)

Answer:

i think x+15 would be the correct answer

The maximum number of ordered pairs possible in the relation is 22.

To find the maximum number of ordered pairs possible in the relation, we examine the sizes of each equivalence class.

In the given question, we have a set A with n elements and an equivalence relation R on A. Let's assume that R has m equivalence classes, and the sizes of those classes are denoted as n1, n2, n3, ..., nm.

To find the maximum number of ordered pairs possible in the relation, we examine the sizes of each equivalence class. In the given scenario, e1 has 8 ordered pairs, e2 has 10 ordered pairs, and e3 has 4 ordered pairs.

To maximize the number of ordered pairs, we consider a scenario where e1, e2, and e3 are the only equivalence classes, each containing its ordered pairs. In this case, the total number of ordered pairs would be 8 + 10 + 4 = 22.

Therefore, the maximum number of ordered pairs possible in the relation is 22.

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The solution to the system of linear inequalities (x, y) are (-1, 2)

A system of linear inequalities is just like a system of linear equations, except it is composed of inequalities instead of equations. Systems of linear inequalities are used to model scenarios with multiple constraints.

In the given problem, we can find the value of x and y as;

x + y > 1 ...eq(i)

-x + y ≤ 3 ...eq(ii)

Solving both inequalities;

The solution is;

1 - x < y ≤ 3 + x

We can easily plot this on a graph and the point of intersection will be our solution;

From the graph attached below, the solution to this inequality (x , y) are (-1, 2)

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what is the question???

Step-by-step explanation:

btw

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The equation that can be used to solve the problem is "32.6 minus y = 10.2."

To find the missing number when the difference between 32.6 and a number is 10.2, we need to set up an equation. Let's assume the missing number is y.

The equation "32.6 minus y = 10.2" represents the scenario where we subtract the unknown number (y) from 32.6 and obtain a result of 10.2. By rearranging this equation, we can solve for y.

Subtracting 10.2 from both sides of the equation gives us:

32.6 minus y minus 10.2 = 10.2 minus 10.2

22.4 minus y = 0

Next, we can isolate y by subtracting 22.4 from both sides of the equation:

22.4 minus y minus 22.4 = 0 minus 22.4

-y = -22.4

Finally, multiplying both sides by -1 gives us the solution:

y = 22.4

Therefore, the equation "32.6 minus y = 10.2" can be used to solve the problem, and the value of the missing number (y) is 22.4.

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Answer:

that's what you get on multiply ing the given matrices

Answer: ( 28, 43)

Step-by-step explanation: I took the test.

[ 2 -6 ] [ 5 ] = [ (2)(5) + (-6)(-3) ]   =  [ 28 ]

[ 8  -1 ] [ -3]    [ (8)(5) + (-1)(-3)  ]       [ 43 ]

Thus the answer is (28, 43)

The range just means the y-output of the function, ie the y values.

You can see that the function curves up to y=2 and then curves back down, but doesn't go above y = 2.

So the second option is the correct one, because the y-values of the function go from infinity up to y=2, but not above y=2 hence the ≤ sign.

=========================================================

Explanation:

Points Q and R have the same y coordinate of 6.

This means they're on the same horizontal level and we can form a number line through these points. Think of Q and R being on the x axis.

Going from -4 to 8 is a distance of 12 units because either

-4-8 = -12 which flips to +12 or 12

8-(-4) = 8+4 = 12

Effectively I used absolute value for the first part to go from -12 to 12. Distance cannot be negative.

Alternatively, you can count out the number of horizontal spaces from -4 to 8 and you should count out 12 units.

--------------------------------

If you need to use the distance formula, then this is what the steps may look like:

\(Q = (x_1,y_1) = (-4,6) \text{ and } R = (x_2, y_2) = (8,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-8)^2 + (6-6)^2}\\\\d = \sqrt{(-12)^2 + (0)^2}\\\\d = \sqrt{144 + 0}\\\\d = \sqrt{144}\\\\d = 12\\\\\)

In my opinion, the distance formula is overkill because we can simply apply subtraction or count out the number of spaces. It's up to you which you prefer you like better. Of course be sure to follow all instructions your teacher mentions.

If the two points weren't on the same horizontal level, then we would have no choice and have to use the distance formula. Or you could use the pythagorean theorem which is effectively what the distance formula is derived from.

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

The components of the vector v are \((5, 1, 0)\) and the unit vector u in the direction of v is \((5 / sqrt(26), 1 / sqrt(26), 0 / sqrt(26))\).

To find the components of the vector v with initial point p and terminal point q, we subtract the coordinates of p from the coordinates of q.

The components of the vector v are given by:

\(v = q - p\)
\(= (6, 2, 0) - (1, 1, 0)\)
\(= (6 - 1, 2 - 1, 0 - 0)\)
\(= (5, 1, 0)\)

Now, to find the unit vector u in the direction of v, we divide each component of v by the magnitude of v.

The magnitude of v, denoted as ||v||, can be calculated using the formula:
\(||v|| = sqrt(x^2 + y^2 + z^2)\)
where x, y, and z are the components of v.

In this case:
\(||v|| = sqrt(5^2 + 1^2 + 0^2)\)
\(= sqrt(25 + 1 + 0)\)
\(= sqrt(26)\)

Therefore, the unit vector u in the direction of v is given by:
\(u = v / ||v||\)
\(= (5, 1, 0) / sqrt(26)\)

Simplifying each component, we get:
\(u = (5 / sqrt(26), 1 / sqrt(26), 0 / sqrt(26))\)

Thus, the components of the vector v are (5, 1, 0) and the unit vector u in the direction of v is \((5 / sqrt(26), 1 / sqrt(26), 0 / sqrt(26)).\)

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To find the value of any term in the sequence, you simply need to plug in the value of n into the formula. For example, to find the value of the 4th term, you would evaluate f(4):

f(4) = 4 * 3^(4-1) = 4 * 3^3 = 108

The sequence appears to be a geometric sequence where each term is 3 times the previous term. We can use this information to write an explicit formula for the nth term of the sequence.

To find the explicit formula, we can first find the common ratio, r, by dividing any term by its previous term:

r = 12/4 = 36/12 = 108/36 = 324/108 = 3

So the common ratio is 3. Now we can use the formula for a geometric sequence:

f(n) = f(1) * r^(n-1)

where f(1) is the first term and r is the common ratio.

Since we know that f(1) = 4 and r = 3, we can substitute these values into the formula to get:

f(n) = 4 * 3^(n-1)

Therefore, the explicit function that models the value of the nth term in the sequence is:

f(n) = 4 * 3^(n-1)

To find the value of any term in the sequence, you simply need to plug in the value of n into the formula. For example, to find the value of the 4th term, you would evaluate f(4):

f(4) = 4 * 3^(4-1) = 4 * 3^3 = 108

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Answer:

I am not sure what you're asking, but the other side of #2 should be the same degree/the missing one has the same degree as #2, just like how #3 is the same as #1 in degrees. if you plug in #1 + #2 you'd get 180 degrees, same thing with the #3 + the missing degree

Answer:-4

Step-by-step explanation:

11,7,3,-1,-5,......they have a difference of -4

11-4=7

7-4=3

3-4=-1

-1-4=-5

Recursive formula for the given sequence is \(a_{n}=a_{n-1}-4\)

A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).

Consider

The first term \(a_{1} =11\)

second term \(a_{2}=7\)

Common difference = 7-11 = -4

Third term \(a_{3}=3\)

Common difference = 3-7 =- 4

Fourth term \(a_{4}=-1\)

Common difference = -1-3= -4

Then the formula for the sequence is \(a_{n}=a_{n-1}-4\)

Hence, the Recursive formula for the give sequence is \(a_{n}=a_{n-1}-4\)

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Answer: -276.2 ft.

Step-by-step explanation: He descended 91 x 4.5 which is -409.5 ft. But since she goes up 43 x 3.1 which is 133.3 ft, -409.5 + 133.3 = -276.2 ft.

Hope this helps! :)

There are 20 different combinations of colors possible in a 6-pack of lacrosse balls.

What is the combination?

A combination is a choice of items from a group of different items where the order of the choices is irrelevant. Either the process of combining or the condition of combining. a combination of several things a mixture of thoughts. something created through fusion: A chord is made up of several notes.

Here, we have

Given: lacrosse balls come in 3 colors: red, yellow, and blue.

We have to find the different combinations of colors that are possible in a 6-pack of lacrosse balls.

We apply here combination formula and we get

= ⁶C₃

= (6×5×4×3!)/(3!×3×2×1)

= 20

Hence, there are 20 different combinations of colors possible in a 6-pack of lacrosse balls.

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TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.

TCP provides error checking to ensure reliable data delivery, making option A the correct answer.

The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.

The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.

Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

3. The correct answer is A. The system is very well-engineered.

In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.

Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.

When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.

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Answer:

Step-by-step explanation:

Members not using stepper or treadmill:

38% of 400 is:

Amount of interest after 2 years:

Total number of students in the poll is 150

Students choosing tacos and corn dogs:

24% in number:

Note. It says "how many more students" but its not applicable as there is nothing to compare. Consult this with your teacher.

Normal cost of television = $500

Reduced cost = $350

Cost reduction:

Percent reduction:

Answer: is 28.8 miles per gallon

Step-by-step explanation:

let's call that point C, thus we get the splits of AC and CB

\(\textit{internal division of a line segment using ratios} \\\\\\ A(0,0)\qquad B(6,9)\qquad \qquad \stackrel{\textit{ratio from A to B}}{2:1} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{2}{1}\implies \cfrac{A}{B} = \cfrac{2}{1}\implies 1A=2B\implies 1(0,0)=2(6,9)\)

\((\stackrel{x}{0}~~,~~ \stackrel{y}{0})=(\stackrel{x}{12}~~,~~ \stackrel{y}{18}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{0 +12}}{2+1}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{0 +18}}{2+1} \right)} \\\\\\ C=\left( \cfrac{ 12 }{ 3 }~~,~~\cfrac{ 18}{ 3 } \right)\implies C=(4~~,~~6)\)

Answer:

(3,7) (4,4) (1,2)

Step-by-step explanation:

180 degrees: (x, y) —> (-x, -y)