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Evgesh-ka [11]
3 years ago
8

A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square ce

ntimeters. A dart is randomly thrown at the dartboard.
Assuming the dart lands in the rectangle, what is the probability that it lands inside the triangle?

To the nearest whole percent, the probability is

Mathematics
2 answers:
horsena [70]3 years ago
8 0
Okay, like I explained before:

Divide the area of the triangle by the area of the rectangle and multiply by 100 to get the probability of landing inside the triangle as a percentage...

P%=100(162/648)

P%=25%
Alex73 [517]3 years ago
6 0

   we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

so

the probability is equal to

P=size of the event space/size of the sample space

In this problem

size of the sample size=area of the rectangular dartboard=648\ cm^{2}

size of the event space=area of the triangular part=162\ cm^{2}

P=\frac{162}{648}=0.25

<u>Convert to percentage</u>

P=0.25*100=25\%

therefore

<u>the answer is</u>

25\%

 

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There were 3 bananas, 4 apples, and 3 oranges in a basket. What is the probability that Ace will pick a banana from the basket?
Jlenok [28]

0.3 or 30%. The probability that Ace pick a banana from a basket that content others fruits is 0.3.

The key to solve this problem is using the equation of probability P(A)=\frac{n(A)}{n} where n(A) the numbers of favorables outcomes and n the numbers of possible outcomes.

There are in the basket 10 fruits in total (3 bananas + 4 apples + 3 oranges = 10fruits). Then, extract a fruit can occur in 10 ways, this is n. There is only 3 bananas in the basket, so the fruit that ACE will pick be a banana can occur in 3 ways out of 10,  so 3 is n(A).

Solving the equation:

P(A)=\frac{3}{10}=0.3

5 0
4 years ago
What is lim x→3 x^2 - x - 6/ x - 3
Kisachek [45]
<h3>Answer: D) 5</h3>

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

Explanation:

If we plugged x = 3 into the expression, then we'd get x-3 = 3-3 = 0 in the denominator. That's not allowed. But we can simplify first

x^2-x-6 factors to (x-3)(x+2). The key here is that (x-3) is a factor. It cancels with the x-3 in the denominator

So, \frac{x^2-x-6}{x-3} = \frac{(x-3)(x+2)}{x-3} = x+2

Allowing us to say,

\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = \lim_{x \to 3}\frac{(x-3)(x+2)}{x-3}\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = \lim_{x \to 3}(x+2)\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = 3+2\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = 5\\\\\\

5 0
4 years ago
Find the degree of the polynomial function.<br> f(x) = -16x3 - 7x2 - 1
Free_Kalibri [48]

Answer:

3

Step-by-step explanation:

Assuming you meant f(x)=-16x^{3}-7x^{2} -1 the degree is 3. The degree of a polynomial is always the highest degree one single term has. In this -16x^{3} has a degree of 3, which is the highest in the polynomial, and therefore the answer. The degree of a term is the exponent or what the power of the term is. If the polynomial is in standard form, the degree will always be the first exponent.

4 0
3 years ago
I need help I don’t understand any of thisl
Natalija [7]
Note! Every triangle must add up to 360°

1. x =
(×+29°) + (x+19°) + 84° = 360°
x + x + 29° + 19° + 84°= 360°
2x + 48° + 84°= 360°
2x + 132° = 360°
2x = 228°
x = 114°

m(angle)A =
(x+29°)
(114°+29°)=143°

m(angle)B=
(x+19°)
(114°+19°)=133°

3. is a bit different

(3x+6)° = (8x+3)°+130°
-5x+6° = 3° + 130°
-5x = 133° - 6°
-5x = 127°
x = -25.4°

m(angle)A=
(3x+6)°
3×(-25.4)+6= -70.2°

m(angle)DBE=
(8x+3)°=
8(-25.4)+3= -200.2°

I only did 1. and 3. for examples now, but if you need help with anymore just ask!
7 0
3 years ago
HELLLPPPPPPPPP!!!!!!!!!! :(
Viefleur [7K]
A. 2.76 miles B. 4,855 yards C. 14,565 feet
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