center center drop zone empty. width width drop zone empty. shape shape drop zone empty. it indicates the unpredictability of the process. the theoretical or desired mean of a distribution should fall under this. it indicates the degree of variability in outcomes and the types of factors that may be influencing the overall distribution.

Sum of three terms in a GP = 7

Product of the numbers = 8

G.P

Let the three numbers be a/r , a , ar where a is the first term and r is the common ratio.

So,

⟹ a/r + a + ar = 7 -- equation (1)

And,

⟹ (a/r) * a * ar = 8

⟹ a³ = 8

⟹ a = ³√8

⟹ a = 2

Substitute the value a in equation (1).

⟹ 2/r + 2 + 2r = 7

⟹ (2 + 2r + 2r²)/r = 7

⟹ 2 + 2r + 2r² = 7r

⟹ 2r² + 2r - 7r + 2 = 0

⟹ 2r² - 5r + 2 = 0

⟹ 2r² - 4r - r + 2 = 0

⟹ 2r(r - 2) - 1 (r - 2) = 0

⟹ (2r - 1)(r - 2) = 0

★ 2r - 1 = 0

⟹ 2r = 1

⟹ r = 1/2

★ r - 2 = 0

⟹ r = 2

If r = 1/2 ;

a/r = 2/(1/2) = 2 * 2 = 4

a = 2

ar = 2 * 1/2 = 1

If r = 2 ;

a/r = 2/2 = 1

a = 2

ar = 2 * 2 = 4

∴ Required GP is 4 , 2 , 1 or 1 , 2 , 4.

I hope it will help you.

Regards.

Step-by-step explanation:

Assume that the 4 terms are a/r, a , ar, ar2.

Product of first 3 terms = a3 =8

=> a=2

Sum of last 3 terms :

a(1 + r + r2) = 14

=> r2 + r - 6 = 0

Solving the above equation r= -3 or 2

So the terms are

-2/3, 2, -6, 18

Or

1, 2, 4, 8

Answer:

5

Step-by-step explanation:

(-2)^2 -2(4)(-2) / (-2)^2

4-8(-2)/4

4+16/4

20/4

5

Answer:

219x

Step-by-step explanation:

Did you ever get the answer

Answer:

Im the king of answers

Step-by-step explanation:

The answer is A, C, and E

Answer:

12m^2(a)

Step-by-step explanation:

Multiply 3m by 4m for a paralolegram.

(l*w)

Answer:A = P(1+r/n)nt

A = 3500(1+.092/4)4t

Step-by-step explanation:

Answer:

5 (rounded)

Step-by-step explanation:

by using the Pythagorean theorem you can calculate b

\(a^{2} + b^{2} = c^{2}\)

here we have a and c

first lets times it by themselves

16 + b^2 = 36

now lets isolate b^2

b^2 = 36-16

= 20

now we have to get rid of the exponent ^2

b = 4.47....

rounding it would be 5!

Hope that helps :>

Answer:

3 pictures are giraffes

Step-by-step explanation:

1/3 of 9 is 3. Caleb took 3 pictures of giraffes.

3,6,9...

1/3, 2/3, 3/3=1

Hope this helps!

Answer:

cucuffuifb use I'll I EB ten nu TV cell GB EEC to reef GRB decry

Answer:

I took the test

Step-by-step explanation:

Answer:

In Euclidean plane

The average number of customers per hour that are processed in the curbside pickup line is 120. The average time this SKU spends in this warehouse is 90.67 hours (or about 3.8 days).

Little's law is a concept in queuing theory that relates the number of items in a queuing system to the arrival rate of those items and the time it takes to service them. Little's law is one of the most important laws in queuing theory and has many applications in the analysis of production systems, inventory control, and many other fields.

Let's calculate the average number of customers per hour that are processed in the curbside pickup line.

Average time to fulfill and load a customer's order = 3 minutes

Average number of customers in the curbside pickup area = 6

We can use Little's law to calculate the average number of customers processed in an hour. Little's Law states that: Average number of customers in a system = arrival rate x average time in system

The arrival rate can be calculated as:

Arrival rate = number of customers / time

Total time for all 6 customers in the system = 6 x 3

= 18 minutes

= 0.3 hours

Average time a customer spends in the system = 0.3 hours / 6 customers

= 0.05 hours

Now, using Little's Law:

Average number of customers in the system = arrival rate x average time in system

6 = arrival rate x 0.05

Arrival rate = 6 / 0.05

Arrival rate = 120 customers per hour

Therefore, the average number of customers per hour that are processed in the curbside pickup line is 120 customers per hour.

Little's law can also be used to calculate the average time an SKU spends in the warehouse.

Average work-in-process inventory for SKU KL334523 in a warehouse = 850 parts

Warehouse ships 225 units of SKU KL334523 per day.

We can use Little's law to calculate the average time an SKU spends in the warehouse.

Little's Law states that:

Average number of items in a system = arrival rate x average time in system

The arrival rate can be calculated as:

Arrival rate = number of items / time

The time can be calculated as:

Time = number of items / arrival rate

Average number of items in the system = 850 parts

Arrival rate = 225 units per day x (1 day / 24 hours)

Arrival rate = 9.375 parts per hour

Now, using Little's Law:

Average number of items in the system = arrival rate x average time in system

850 = 9.375 x time

Time = 850 / 9.375

Time = 90.67 hours

Therefore, the average time this SKU spends in this warehouse is 90.67 hours (or about 3.8 days).

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Answer:

x+5

Step-by-step explanation:

Side is equal to sqrt area

= sqrt x^2 +10x + 25

= x+5

So one side of the square is x+5 metres

Answer:

(x+5) meters long

Step-by-step explanation:

x^2 + 10x+25

We recognize that this is a perfect square trinomial

a^2 + 2ab+b^2 = (a+b)^2

x^2+2*5*x+5^2 = (x+5)^2

Since this is a square

A = s^2 where s is the side length

(x+5) ^2 =s^2

Each side is (x+5)

Answer:

(4,1)

Step-by-step explanation:

Reflected over x = -3, new point : (1,4)

Reflected over y=x, new point = (4,1)

Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.

To find out how far she will have run in total after 16 days, we can use the formula for calculating compound interest:

A = P(1 + r/100)^n

Where:

A = Total distance run after n days

P = Initial distance (4.8 kilometers)

r = Rate of increase per day (6.9%)

n = Number of days (16)

Plugging in the given values, we can calculate the total distance:

A = 4.8(1 + 6.9/100)^16

Using a calculator or performing the calculations step by step, we get:

A ≈ 4.8(1.069)^16 ≈ 4.8(2.092473)^16 ≈ 4.8(2.628)

A ≈ 12.6144

Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.

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Answer:

x=9 Hope this helps :)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 3x from both sides.

Step 3: Subtract 6 from both sides.

Step 4: Multiply both sides by 3/(-8).

And you get x=9

The number of plants Ethan has are 5.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of plants Ethan has.

Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.

If he starts with 32 ounces of water and ends up with 14.5 ounces

Total of 32 - 14.5 = 17.5 ounces of water.

As given the amount of water used is equal to the amount of water per plant times the number of plants:

3.5x = 17.5

Divide both sides by 3.5

x=5

Hence, , Ethan has 5 plants.

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Substituting a = 2, b = 6, and c = 3 into the expression:

1

2

(

3

)

(

6

+

2

)

2

1

​

(3)(6+2)

Simplifying the expression:

1

2

(

3

)

(

8

)

=

12

2

1

​

(3)(8)=12

Therefore, when a = 2, b = 6, and c = 3, the expression

1

2

�

(

�

+

�

)

2

1

​

c(b+a) evaluates to 12.

To evaluate the expression

1

2

�

(

�

+

�

)

2

1

​

c(b+a) when a = 2, b = 6, and c = 3, we substitute these values into the expression and perform the necessary calculations.

First, we substitute a = 2, b = 6, and c = 3 into the expression:

1

2

(

3

)

(

6

+

2

)

2

1

​

(3)(6+2)

Next, we simplify the expression following the order of operations (PEMDAS/BODMAS):

Within the parentheses, we have 6 + 2, which equals 8. Substituting this result into the expression, we get:

1

2

(

3

)

(

8

)

2

1

​

(3)(8)

Next, we multiply 3 by 8, which equals 24:

1

2

(

24

)

2

1

​

(24)

Finally, we multiply 1/2 by 24, resulting in 12:

12

Therefore, when a = 2, b = 6, and c = 3, the expression

1

2

�

(

�

+

�

)

2

1

​

c(b+a) evaluates to 12.

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Answer & explanation:

The student made an error by adding an r after removing the parentheses instead of subtracting an r.

Correct Steps:

(6b + 4r) – (2b + r)

6b + 4r - 2b - r

4b + 3r

Answer:

yo

Step-by-step explanation:

this was the sample response on edge

The student did not distribute the negative when subtracting. Distributing the negative, the expression is equal to 6b + 4r – 2b – r. Then use the commutative property to rewrite it as 6b – 2b + 4r – r. Then you can use the distributive property to write as (6 – 2)b + (4 – 1)r, which simplifies to 4b + 3r.

Answer:

Mark and Lila are 29.83 meters apart.

Step-by-step explanation:

If we draw a triangle with the information given (see image attached), we have that the angle Lila-Avery-Mark is equal to 70°. Then, to find the distance between Mark and Lila, we just need to use the law of cosines, using the two sides given and the angle between them:

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 30^2 + 20^2 - 2*30*20*cos(70)

c^2 = 900 + 400 - 1200*0.342

c^2 = 889.6

c = 29.83 m

Mark and Lila are 29.83 meters apart.

Answer: C

Step-by-step explanation: C

2 divided into 9 parts is 2/9.

Let's' explain this visually

Take this pizza, (image below)

Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.

Now 2/9=0.2 repeating!

This is how I got my answer sorry for the vague  explanation

(a) The probability that the other person is shorter than x is = 1/2

(b) The probability that the first person chosen is shorter than x is 1/2.

(a) If we know that at least one person is taller than x, then there are two cases to consider:

The first person chosen is taller than x:

In this case, the probability of the second person being shorter than x is 1/2.

The second person chosen is taller than x:

In this case, the probability of the first person being taller than x is 1/2.

The total probability that at least one person is taller than x and the other person is shorter than x is the sum of these two cases:

P = (1/2) * (1/2) + (1/2) * (1/2)

= 1/2

(b) If we know that the person chosen second is taller than x, then the only possibility is that the first person chosen is shorter than x.

The probability of this happening is 1/2.

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After answering the provided question, we can conclude that Nathan can  equation make 7 smoothies with 7 cups of strawberries if he uses 1 cup of strawberries to make one smoothie.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the value "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

Nathan can make 7 smoothies with 7 cups of strawberries if he uses 1 cup of strawberries to make one smoothie.

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Answer:

It would be 1/625

Step-by-step explanation:

5^-4=0.0016

0.0016 as a fraction is 1/625

Hope this helps! :)

Solution

=14

Step-by-step explanation:

To determine if the given points are part of the (200) plane, we need to check if their coordinates satisfy the equation of the plane.

The equation of a plane in three-dimensional space is typically written in the form Ax + By + Cz + D = 0, where A, B, C, and D are constants. For the (200) plane, the equation would be 2x + 0y + 0z + 0 = 0, which simplifies to 2x = 0. Let's check the given points: a) (1/2, 0, 0): When we substitute x = 1/2 into the equation 2x = 0, we get 2(1/2) = 0, which is true. Therefore, point a) lies on the (200) plane. b) (-1/3, 0, 0): Substituting x = -1/3 into the equation 2x = 0 gives us 2(-1/3) = 0, which is also true. So, point b) is part of the (200) plane. c) (0, 1, 0):When we substitute x = 0 into the equation 2x = 0, we get 2(0) = 0, which is true. Thus, point c) lies on the (200) plane. All three given points (a), b), and c)) are part of the (200) plane.

In conclusion, all three given points (a), b), and c)) are part of the (200) plane.

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sin^-1 (-1/2) is 30 degrees measured from the x-axis in the clockwise direction, that is, in the fourth quadrant.

The below figure serves as a reference for quickly determining the sines (y-value) and cosines (x-value) of angles that are commonly used in trigonometry. As can be seen from the figure, sine has a value of 0 at 0° and a value of 1 at 90°. Cosine follows the opposite pattern; this is because sine and cosine are cofunctions (described later). The other commonly used angles are 30° (), 45° (), 60° () and their respective multiples. The cosine and sine values of these angles are worth memorizing in the context of trigonometry, since they are very commonly used.

One method that may help with memorizing these values is to express all the values of sin(θ) as fractions involving a square root. Starting from 0° and progressing through 90°, sin(0°) = 0 = . The subsequent values, sin(30°), sin(45°), sin(60°), and sin(90°) follow a pattern such that, using the value of sin(0°) as a reference, to find the values of sine for the subsequent angles, we simply increase the number under the radical sign in the numerator by 1, as shown below.

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Answer:

Slope = \(-\frac{1}{6}\)

Step-by-step explanation:

Slope = \(\frac{Rise}{Run}\)

Slope = \(\frac{6-10}{24-0}\)

Slope = \(-\frac{1}{6}\)

Answer:

-1/6

Step-by-step explanation:

Just use the formula Y2-Y1/X2-X1.

In this case if you substitute the coordinates of those numbers, then it would be 6-10/24-0 which is 24/-4 and if you simplify it, then you get the slope -1/6.