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3 years ago

Help me pleaseeeeeeeeeeeeeeee

Mathematics

1 answer:

inn [45]3 years ago

4 0

Answer:

1) n^2 – 3 n + 8 4^2 – 3*4 + 8 = 12

2) (x^2 – 4 y) / 2 (16 + 12) / 2 = 14

3) 4 * |-7 – 2| = 4 * 9 = 36 Abs -9 = 9

4) 19 – x^2 = 19 – 25 = -6 (-5)^2 = 25

5) S^2 t – 10 = -8^2 * ¾ -10 = 64 * ¾ - 10 = 38

6) 4 p^2 + 7 q^3 = 4 * 9 + 7 * (-8) = - 20 (-2)^3 = -8

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The Reds and the Cubs are playing 3 games. In each game the probability that the Reds win is 0.54. The probability of the Reds w

shusha [124]

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

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

8 0

3 years ago

Compare the quantity in column A with the quantity in column B. Choose the best answer.

love history [14]

Answer:

C. The two quantities are equal

Step-by-step explanation:

Column A

Substitute the numbers with the letters

an = a1 + (n - 1) d should be an = 2 + (8 - 1) 5

Work it out, you should get 37

Column B

Substitute the numbers with the letters again

an = a1 + (n - 1) d should be an = 13 + (9 - 1) 3

Work it out, your answer should be 37 as well

Tada, done. The answer is C.

6 0

3 years ago

A=16,b=63 Find the missing angle

Julli [10]

180 - 16 - 63 = 101. The remaining angle is 101*

Hope I helped!

6 0

3 years ago

Read 2 more answers

"assume that josh throws the discus 36 times. let y denote the sum of the lengths of the 36 throws.

cluponka [151]

Assuming that Josh throws the discus 36 times, the expected value of y will be the length each discus reaches for each throw all added together. Specifically, it will be discus throw one, plus discus throw two -- all the way to discus throw thirty-six. Adding all of those throws together will provide the expected value of Y.

6 0

3 years ago

A jar of peanut butter contains 454 g with a standard deviation of 10.2 g. Find the probability that a jar contains more than 46

Fofino [41]

Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = Amount of peanut butter in a jar

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 454 g

$\sigma$ = standard deviation = 10.2 g

So, X ~ Normal( $\mu=454 , \sigma^{2} = 10.2^{2}$ )

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

P(X > 466 g) = P( $\frac{X-\mu}{\sigma}$ > $\frac{466-454}{10.2}$ ) = P(Z > 1.18) = 1 - P(Z $\leq$ 1.18)

= 1 - 0.881 = 0.119

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

4 0

3 years ago