# Kenwood High School sold t-shirts for a school fundraiser. The principal rounded the number of shirts sold to 3,000. Which number might be the exact number of t-shirts Kenwood sold?​

## Related Questions

A grandmother is 12 times as old as her grandson, and the grandson is 55 years younger than his grandmother. How old is each now?

5 & 60

Step-by-step explanation:

s * 12 = g

s + 55 = g

12s = s + 55

11s = 55

s = 5

The following dot plot shows the number of cavities each of Dr. Vance's 63 patients had last month. Each dot represents a different patient. Which of the following is a typical number of cavities one patient had?

Step-by-step explanation:

There are lots of ways we can think about the typical number of cavities.

• What was the most common number of cavities?
• If we split the cavities evenly among all the patients, how many cavities would each patient have?
• What would be the balance point of the data?
• What is the middlemost number of cavities?

If we split the cavities evenly, each patient would have 2 or 3 cavities.

If we put our dot plot on a balance scale, it would balance when the pivot was between 2 and 3 cavities.

The scale would tip if, for example, we put the pivot at 5 cavities.

There are 8 patients with 2 cavities each. About half of the rest of the patients have fewer than 2 cavities and about half have more than 2 cavities.

Of the choices, it is reasonable to say that a patient typically had about 2 cavities.

,                                  -Written in

The 'typical' number of cavities one patient had can be determined by finding the mode (most common number) in the data set, which should be represented in the dot plot. To do this, one would count the number of dots at each value on the dot plot. The value with the most dots would be the 'typical' number of cavities.

### Explanation:

The question is asking for a 'typical' number of cavities one patient had out of Dr. Vance's 63 patients. In statistics, a typical, or 'common', value can be shown by calculating the mode, which is the number that appears most frequently in a data set.

Unfortunately, the dot plot is missing from the information provided. However, to find the mode (or typical value) using a dot plot, you would typically count how many dots are at each value on the plot. The value with the most dots (indicating the most patients with that number of cavities) is the mode. This would be the 'typical' number of cavities a patient of Dr. Vance had last month.

Let's create a hypothetical scenario. If your dot plot looked like this:

• 0 cavities: 10 patients
• 1 cavity: 15 patients
• 2 cavities: 24 patients
• 3 cavities: 8 patients
• 4 cavities: 6 patients

The mode would be 2 cavities because 24 patients had this amount, more than any other amount. Therefore, the 'typical' number of cavities one patient had would be 2.

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The path of the water in a pond fountain can be modeled by y=-0.1x^2+2.8x , where x and y are measured in feet. The x -axis represents the surface of the pond. Find the width of the path at the surface of the pond and the height of the path.Width: ___ ft
Height: ___ ft

the width of the path at the surface of the pond is 14 feet, and the height of the path above the surface of the pond is 19.6 feet.

Step-by-step explanation:

To find the width of the path at the surface of the pond, we need to find the x-coordinate of the vertex of the parabola y = -0.1x^2 + 2.8x. The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -0.1 and b = 2.8. Substituting these values, we get:

x = -2.8 / 2(-0.1) = 14

So the width of the path at the surface of the pond is 14 feet.

To find the height of the path, we need to find the y-coordinate of the vertex of the parabola y = -0.1x^2 + 2.8x. The y-coordinate of the vertex is given by:

y = f(x) = -0.1(x - h)^2 + k

where (h,k) is the vertex of the parabola. To find the vertex, we can use the formula:

h = -b/2a and k = f(h)

Substituting a = -0.1 and b = 2.8, we get:

h = -2.8 / 2(-0.1) = 14

k = f(14) = -0.1(14)^2 + 2.8(14) = 19.6

So the vertex of the parabola is (14, 19.6), which means the maximum height of the path above the surface of the pond is 19.6 feet.

Therefore, the width of the path at the surface of the pond is 14 feet, and the height of the path above the surface of the pond is 19.6 feet.

) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station

Complete Question

The probability that a single radar station will detect an enemy plane is 0.65.

(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?

(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane? (Round your answer to one decimal place.)

a

b

Step-by-step explanation:

From the question we are told that

The probability that a single radar station will detect an enemy plane is

Gnerally the probability that an enemy plane flying over will be detected by at least one station is mathematically represented as

=>

=>       Note

=>

=>

Generally from binomial probability distribution function

Here C represents combination hence we will be making use of of combination functionality in our  calculators

Generally any number combination 0  is  1

So

=>

taking log of both sides

=>

=>

=>

=>

=>

Gnerally the expected number of stations that will detect an enemy plane is

=>

A small hard drive measured 0.7553 centimeters across round to the nearest tenth

0.8

Step-by-step explanation:

7 is in the tenth place since there is a 5 in the hundreds we round up to 8.

hope this helped =3

If CD = EF, then CD ≅ EFDefinition of Congruence
Reflexive Property
Symmetric Property
Definition of Midpoint
Help quickly

Definition of congruence

Step-by-step explanation:

According to this

If two sides are equal then they are ought to be congruent.

Here

CD is equal to EF

• It means both have same lengths

Hence they are congruent

Based on the Definition of Congruence in mathematics, if two line segments are of equal lengths, then they are said to be congruent. So if CD = EF, then CD is congruent to EF (CD ≅ EF).

### Explanation:

In this context, if CD = EF, then CD is indeed congruent to EF, written as CD ≅ EF.

This is based on the Definition of Congruence in mathematics, specifically geometry, which states that two objects (in this case, line segments) are congruent if they have the exact same size and shape, or, for line segments, the same length. So, if the lengths of two line segments are equal (CD = EF), then they are congruent (CD ≅ EF).