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3 years ago

Pls really need help asapppp

Mathematics

1 answer:

Anit [1.1K]3 years ago

8 0

Answer:

105 sq cm

Step-by-step explanation:

The bottom rectangle is 6 x 15 = 90 sq cm

The triangle at the top has a length of 15 - 9 = 6 cm and a height of 11 - 6 = 5 cm.

A triangle is 1/2bh so 1/2 x 6 x 5 = 15 sq cm

Add the areas together

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Given the formula E = IR what is the formula for R

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Let's solve for r.

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IR=E

Step 2: Divide both sides by i.

IR/I=E/I

R=E/I

Answer:

R=E/I

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3 years ago

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Answer:

(a) 1.6197

(b) 1.3803

Step-by-step explanation:

(a) Let X denote the number of games the Reds win. If Reds win exactly one it means that in the other two games Reds lost i.e Cubs won. Now, the probability of the Reds losing is determined by $1 -\text{probability of winning} = 1-0.54 = 0.46$ . So, if X wins exactly $i$ times, then we should multiply the probabilities associated with

$P(X=0) = \binom{3}{0} \times 0.46 \times 0.46 \times 0.46 = 0.0973$

$P(X=1) = \binom{3}{1} 0.54 \times 0.46 \times 0.46 = 0.3429$

$P(X=2) = \binom{3}{2} 0.54 \times 0.54 \times 0.46 = 0.4023$

$P(X=3) = \binom{3}{3} 0.54 \times 0.54 \times 0.54 = 0.1574$

Now,

$E(X) = \sum_{i=0}^{3} i \times P(X=i) = 1.6197$

(b) Let Y denote the number of games won by Cubs. Then by the similar logic as above,

$P(Y=3) = \binom{3}{0} 0.46 \times 0.46 \times 0.46 = 0.0973$

$P(Y=2) = \binom{3}{1} 0.54 \times 0.46 \times 0.46 = 0.3429$

$P(Y=1) = \binom{3}{2} 0.54 \times 0.54 \times 0.46 = 0.4023$

$P(Y=0) = \binom{3}{3} 0.54 \times 0.54 \times 0.54 = 0.1574$

Now

$E(Y) = \sum_{j=0}^{3} j \times P(Y=j) = 1.3803$

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