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Nesterboy [21]
3 years ago
9

Help!! Question on probability. Wi give brainliest!!

Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

P = \frac{5}{282} = 0.0177

Step-by-step explanation:

First we need to find the total amount of apples in the crate:

Total = 10 + 14 + 4 + 18 = 46 apples

The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:

P(golden) =   \frac{N(golden)}{N(total)}

P(golden) = \frac{4}{48} = \frac{1}{12}

Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:

P(granny) = \frac{N(granny)}{N(total)-1}

P(granny) = \frac{10}{47}

The final probability we want is the product of those two probabilities:

P = P(golden) * P(granny) = \frac{1}{12} \frac{10}{47} = \frac{10}{564} = \frac{5}{282}= 0.0177

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A rectangular lawn, 100 feet long by 50 feet wide, is to have two sidewalks installed that will cut the lawn in half both ways,
Damm [24]

Answer:

3.41 feet

Step-by-step explanation:

Area = Length × Breath

Area of the rectangular lawn = 100 × 50

                                                = 5000 feet²

The sidewalk must occupy an area no more than 10% of the total lawn area.

So, the area of the sidewalk would be not more than  = 10% × 5000

                                                                                         = 0.10 × 5000

                                                                                        = 500 feet²

Let the width of the sidewalk = x feet

area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)

(100 × x) + ((50 - x) × x) < 500

100x + (50-x)(x) < 500

-x²  + 150x < 500

-x² + 150x = 500

-x² + 150x - 500 = 0

By using quadratic formula

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{(-150)\pm\sqrt{(150)^2-4(-1)(-500)} }{2(-1)}

x=\frac{-150\pm \sqrt{20500} }{-2}

x=75-5\sqrt{205} or x=75+5\sqrt{205}

x = 3.41089 ≈ 3.41 feet  or  x = 146.58

Therefore, width of the sidewalk would be 3.41 feet.

5 0
3 years ago
Graph the points and state whether they are collinear.
Alchen [17]
All that is needed is for you to graph the points and if they form a line, they will be collinear. If not, they will not be collinear.
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2 years ago
Use the expression 9(7 + 2x) to answer the following:
oksian1 [2.3K]

Part A: Describe the two factors in this expression. (4 points) The factors are (1) the constant coefficient 9 and (2) the binomial (7+2x).

Part B: How many terms are in each factor of this expression? (4 points) The first factor (multiplicand), 9, has one term. The second factor (multiplicand), (7+2x), has two terms (and is thus called a binomial).

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