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Rainbow [258]
3 years ago
12

A square poster has a side length of 26 in. Drawn on the poster are four identical triangles. Each triangle has a base of 8 in.

and a height of 8 in. Children play a game in which they each wear a blindfold and throw a dart at the poster. A player whose dart lands inside a triangle wins a prize. Assuming that a player's dart will always land on the poster, what is the probability of the dart landing in a triangle?
Mathematics
2 answers:
Firdavs [7]3 years ago
6 0
To find the probability of landing on a triangle, you will want find the combined areas of the triangles and the total area of the square target.

Divide the area of the combined areas and the total area to find the probability of landing on a triangle.

A = 1/2bh
      1/2 x 8 x 8
A = 32 square inches
32 x 4
128 square inches (areas of triangles)

A = bh
     26 x 26
A = 676 square inches

128/676 = 0.189

There is an approximate probability of 0.19 of hitting a triangle.
spayn [35]3 years ago
3 0

Answer:

The answer is 0.19 (just took the test)

Step-by-step explanation:

Formula: 1/2bh

so it will be 1/2 * 8 * 8 (8 is from the base and height of the triangle)

= 32

Then you do 32 * 4 which equals 128 (this is the area of the triangles)

Next

Formula: bh

26*26 (the side lengths of the square poster)

= 676

Lastly:

128/676 (divide)

=0.189 --> which rounds to 0.19

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The Quality Control Department employs five technicians during the day shift. Listed below is the number of times each technicia
sveta [45]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Technician __Shutdown

Taylor, T___4

Rousche, R _ 3

Hurley, H__ 3

Huang, Hu___2

Gupta, ___ 5

The Numbe of samples of 2 possible from the 5 technicians :

We use combination :

nCr = n! ÷ (n-r)!r!

5C2 = 5!(3!)2!

5C2 = (5*4)/2 = 10

POSSIBLE COMBINATIONS :

TR, TH, THu, TG, RH, RHu, RG , HHu, HG, HuG

Sample means :

TR = (4+3)/2 = 3.5

TH = (4+3)/2 = 3.5

THu = (4+2) = 6/2 = 3

TG = (4 + 5) = 9/2 = 4.5

RH = (3+3) = 6/2 = 3

RHu = (3+2) /2 = 2.5

RG = (3 + 5) = 8/2 = 4

HHu = (3+2) = 2.5

HG = (3+5) = 8/2 = 4

HuG = (2+5) / 2 = 3.5

Mean of sample mean (3.5+3.5+3+4.5+3+2.5+4+2.5+4+3.5) / 10 = 3.4

Population mean :

(4 + 3 + 3 + 2 + 5) / 5 = 17 /5 = 3.4

Population Mean and mean of sample means are the same.

This distribution should be approximately normal.

7 0
3 years ago
How many terms are in the arithmetic sequence 9, 2, −5, . . . , −187?
Fantom [35]
9, 2, -5... so is going down by 7 each time, meaning the "common difference" is -7.

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=9\\
d=-7\\
a_n=-187
\end{cases}
\\\\\\
-187=9+(n-1)(-7)\implies -187=9-7n+7
\\\\\\
7n=9+7+187\implies 7n=203\implies n=\cfrac{203}{7}\implies \boxed{n=29}
4 0
3 years ago
Okay i need some help fast
Troyanec [42]

Answer:

<em>Dimensions : 1 by 1 by 2 feet,</em>

<em>Volume ⇒ 2 ft^3</em>

Step-by-step explanation:

Here, I can only assume that this rectangular prism is assigned to have dimensions 1 foot by 1 foot by 2 feet;

I can tell that these types of boxes have height and width as the same lengths, so given that;

<em>Dimensions : 1 by 1 by 2 feet,</em>

Volume ⇒ 1 * 1 * 2 ( by definition ) ⇒ 2 ft^3

In other words, <em>Volume ⇒ 2 ft^3</em>

6 0
3 years ago
Which graph best represents the solution of the inequality y &lt; |x + 2| – 1?
ollegr [7]

Answer:

Step-by-step explanation:

4 0
3 years ago
Can someone please explain an inequality?
kodGreya [7K]
An inequality is <span>the relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”</span>
3 0
3 years ago
Read 2 more answers
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