a rectangle has an area of 12m and a width of 400cm. what is the length?

The equation of the arch is y = (-13/49)x².

The equation of an arch can be described by a parabola when one side of the arch mirrors the other side. This is the case for the bridge problem given.

The center of the bridge is at the origin (0, 0), and it is the vertex of the parabola. Since the arch is symmetrical and the x-coordinate of the vertex is 0, the parabola is a vertical one. Thus, the equation will be in the form y = ax². To find the value of a, we will use the fact that one end of the bridge is at (7, -13).

Since (7, -13) is a point on the parabola, by plugging these values into the equation y = ax², we get:

-13 = a(7²)

-13 = 49a

a = -13/49

Thus, the equation  is y = (-13/49)x².

B for online school yuhp

Answer:

0.098415

Step-by-step explanation:

The way the question is worded is odd and you should probably actually include “don’t grow into a healthy plant” or something. You can use the binomial distribution. Suppose ∼Bin(6,0.1)  so the probability that k trees don’t grow into a healthy plant is

Pr( = ) = (6 / ) 0.16^ 0.9^6−

Then the probability that two don’t grow into healthy plants is

Pr( = 2) = (6/2) 0.1^2 0.9^4

this is equal to 0.098415

To calculate the probability of exactly 4 out of 7 seeds failing to grow, use the binomial probability formula with n = 7, p = 0.10, and k = 4. The calculation involves combinations and exponentiation.

The question is asking for the probability of exactly 4 seeds out of 7 failing to grow. Given that each seed has a 90% chance of growing into a healthy plant, which means each seed has a 10% (1 - 0.90) chance of not growing. To solve this, we can use the binomial probability formula: P(X = k) = C(n, k) * (pk) * ((1 - p)n - k), where n is the number of trials, p is the probability of success, and k is the exact number of successes. In this case, n = 7, p = 0.10 and k = 4. So, we get:

P(X = 4) = C(7, 4) * (0.104) * (0.907 - 4)

The calculation of this probability requires the use of combinations and exponentiation, providing the specific likelihood of having exactly 4 seeds out of 7 not growing into a healthy plant.

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#SPJ13

Answer:

240

Step-by-step explanation:

Hope this helps! :)

the circled is named for the letter in the center

 so this one is named circle C

Answer:

Arc length = 5.23 cm  

Step-by-step explanation:

Given : Radius = 5 cm

             Angle = [tex]\theta=\frac{\pi}{3}[/tex]

To find : Arc length(A)

Solution: The formula of arc length is

                 A = radius × angle(in radian)

                [tex]A= 5\times\frac{\pi}{3}[/tex]

                          ⇒[tex]\frac{5\pi}{3}[/tex]

                      A  ⇒15.70/3 = 5.23 cm

Answer: The probability that the first color we see is red is 0.34.

Step-by-step explanation:

Since we have given that

Time taken by green color on the traffic light = 50 seconds

Time taken by yellow color on the traffic light = 10 seconds

Time taken by red color on the traffic light = 30 seconds

Total number of seconds = 50+10+30=90

So, Probability that the first color we see is red is given by

[tex]\dfrac{\text{Time alloted for red color}}{\text{Total number of seconds}}\\\\=\dfrac{30}{90}\\\\=\dfrac{1}{3}\\\\=0.3333...\\\\\approx 0.34[/tex]

Hence, the probability that the first color we see is red is 0.34.

Answer:

answer is A

Step-by-step explanation:

Normally, the data path width for DIMMs is 64 bits but for the DIMMs that support ECC, the data path is 72 bits.

To add, error checking uses the extra 8 bits. ECC memory is more reliable than non-ECC memory but it costs more than a non-ECC memory. Comprising the DIMMS are a series of dynamic random-access memory integrated circuits. Mounted on a printed circuit board, these modules are designed for use in personal computers, workstations and servers.

The most common kinds of internal data corruption are detected and corrected by a type of computer data storage called error-correcting code memory.

By writing an inequality and then converting it to an absolute value equation, we will see that the correct options are C and E.

To find the inequality, we need to find the lower and upper bounds.

First, we know that the machine fills the cups with 4 oz of yogurt, so this is the minimum value allowed, we will have:

4 ≤ x

Then we can add toppings to a maximum value of 6 ounces, this will be the maximum, then we have:

4 ≤ x ≤ 6

We can also write this an absolute value equation, we define:

Then the absolute value equation is:

|x - M| ≤ m

By replacing what we found before, we have:

So the absolute value equation is:

|x - 5| ≤ 1

Finally, we can conclude that the correct options are C and E.

If you want to learn more about inequalities, you can read:

https://brainly.com/question/11234618

Answer:

Diameter of the circle K = 20 units

Step-by-step explanation:

Given that : EF = HG

Also, HG = 16 units

⇒ EF = 16 units

Now, any line drawn perpendicular to the chord always bisects the chord

⇒ KI will bisect the chord EF

⇒ EI = 8 units

Now, in ΔEIK using Pythagoras theorem we have :

⇒ EK² = 8² + 6²

⇒ EK² = 100

⇒ EK = 10 units

So, Radius of the circle K = 10 units

Now, Diameter of the circle K = 2 × 10

                                                  = 20 units

Answer:

the answer is TRUE.

Step-by-step explanation:

we can coclude that the three-dimensional geometry is more or less the extension of a two-dimensional geometry as many of the same principles imply.

two points determine a straight line no matter whether the points are two-dimensional or three-dimensional.

hence the following statements holds true that the rules of two dimensional geometry can be applied to three dimensional solids.

Answer:

The answer is false.

Step-by-step explanation:

Answer:

x is not equal to pi/2 + n*pi

Step-by-step explanation:

just got it right on a pex

The number of egg cartons required to serve 25 people with scrambled eggs is 3 cartons, assuming each carton serves 12 people and we cannot purchase partial cartons.

To calculate the number of egg cartons needed to serve scrambled eggs to 25 people, we first need to know how many people each carton can serve. However, it appears there's a typo or missing information in the question regarding the number of people an egg carton can serve. Assuming that one egg carton can serve a certain number of people, we'd use that information to determine the total number of cartons required.

If we refer to the related information provided about pancakes - where one egg is needed for 8 pancakes - we can draw a parallel for eggs for scrambled eggs. If one egg serves one person in the case of scrambled eggs, and typically there are 12 eggs in a carton, then one carton would serve 12 people.

Using this assumption, since we have 25 people to serve, we can calculate the number of cartons needed as follows:

25 people
Since we cannot purchase a partial carton, we would need to round up to the nearest whole number. Therefore, we would need to purchase 3 cartons of eggs to ensure each guest has a serving.

Answer with explanation:

→Total Number of People which are in the group =8 parents + 4 Teacher=12 People

→Probability of an Event

                            [tex]=\frac{\text{Total Favorable Outcome}}{\text{Total Possible Outcome}}[/tex]

→Probability of selecting three parents and three teachers

        = Selecting 3 parents from 8 Parents +Selecting 3 teacher from 4 teacher

As order of Arrangement is not Important ,so we will use the concept of Combinatorics.

→→ Required Probability

 [tex]=\frac{_{3}^{8}\textrm{C}\times _{3}^{4}\textrm{C}}{_{6}^{12}\textrm{C}}\\\\=\frac{\frac{8!}{3!\times 5!}\times \frac{4!}{3!\times 1!}}{\frac{12!}{6!\times 6!}}\\\\=\frac{56 \times 4}{7\times 4 \times 3\times 11}\\\\=\frac{8}{33}[/tex]