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Vsevolod [243]
3 years ago
15

(I will give brainliest. Please answer quickly)

Mathematics
1 answer:
ladessa [460]3 years ago
4 0

The first step to solve this problem is to find the area of the rectangular piece of fabric.

A of triangle = bh/2

A = (14 cm) (6 cm) /2

A = 84 cm^2 / 2

A = 42 cm

And since there are 31 pieces of the fabric, the total area of all the pieces of fabric is:

31 pieces of fabric x 42 square centimeters per piece = 1,302 square centimeters

To computer how many congruent triangular patches can be cut, you have to divide the total area of the fabric pieces with the area of the congruent triangle:

1,302 square centimeters / 21 square centimeters = 62

Therefore, Leia can cut 62 patches.

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A fair coin is tossed three times in succession. The set of equally likely outcomes is StartSet HHH comma HHT comma HTH comma TH
liq [111]

The probability of getting exactly zero tails is 1/8.

Step-by-step explanation:

When a fair coin is tossed three time, the set of equally likely outcomes is:

S= {HHH,HHT, HTH, THH, HTT, THT, TTH, TTT}

n(S)=8

Let A be the event that there are exactly zero tails which means there are all heads

Then

A= {HHH}

n(A)=1

P(A)=\frac{n(A)}{n(S)}\\=\frac{1}{8}

The probability of getting exactly zero tails is 1/8.

Keywords: Probability, Equally likely events

Learn more about probability at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

5 0
3 years ago
10 points! please help!
kumpel [21]

Answer:

i think its the third one

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A, B and C lie on a straight line.
horsena [70]
Here you go, i added a bit of explanation as to why i used the numbers to help you understand the method :)

6 0
2 years ago
WILL MARK BRAINLY FOR WHO EVER GETS THIS RIGHT
Vedmedyk [2.9K]

Answer:

The first option and the third option

Step-by-step explanation:

Since the figure moved 4 places down and 4 places to the right.

5 0
3 years ago
Read 2 more answers
The J.R. Ryland Computer Company is considering a plant expansion to enable the company to begin production of a new computer pr
Solnce55 [7]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Medium-Scale Large-Scale

Expansion Profit Expansion Profit

x f(x) y f(y)

Low 50 0.2 0 0.2

Demand Medium 150 0.5 100 0.5

High 200 0.3 300 0.3

a. Compute the expected value for the profit associated with the two expansion alternatives.

Which decision is preferred for the objective of maximizing the expected profit?

Expected value for medium scale expansion profit :

Expected value (E) = Σ(X) * f(x)

Σ[(50 * 0.2) + (150 * 0.5) + (200 * 0.3)]

= 145

Expected value for Large scale expansion profit :

Expected value (E) = Σ(X) * f(x)

Σ[(0 * 0.2) + (100 * 0.5) + (300 * 0.3)]

= 140

Medium scale expansion profit is preferred as it has the highest expected value.

b. Compute the variance for the profit associated with the two expansion alternatives.

Which decision is preferred for the objective of minimizing the risk or uncertainty?

Variance (V) = Σ(X - E)² * f(x):

Variance for medium scale expansion profit :

V = [((50-145)^2 * 0.2) + ((150-145)^2 * 0.5) + ((200-145)^2 * 0.3) = 2725

Variance for Large scale expansion profit :

V = [((0-140)^2 * 0.2) + ((100-140)^2 * 0.5) + ((300-140)^2 * 0.3) = 12400

Smaller variance is required to minimize risk, Hence, choose the medium scale expansion profit.

3 0
3 years ago
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