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3 years ago

The distance across the center of a hula-hoop is 2 feet. How much plastic is needed to make the

Mathematics

1 answer:

Anna71 [15]3 years ago

7 0

Answer:

multiply pi (3.14) by 2 and that would give it to you.

Step-by-step explanation:

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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

Find the percent error for the length of the soccer field. Round your answer to the nearest tenth.

maxonik [38]

Answer:

The percent error of the length of the soccer field is 1.4%

Step-by-step explanation:

Actual length of soccer field = 500 feet

Length shown in measuring instrument = 493 feet

We need to find the percent error of the length of the soccer field.

The formula used to find percent error of the length of the soccer field is: $Percent\:error=\frac{approximate\;value-exact\:value}{exact\:value}\times 100\%$

The exact length = 500

Approximate length = 493

Putting values and finding percent error

$Percent\:error=|\frac{approximate\;value-exact\:value}{exact\:value}|\times 100\%\\Percent\:error=|\frac{493-500}{500}|\times 100\%\\Percent\:error=|-0.014|\times 100\%\\Percent\:error=0.014\times 100\%\\Percent\:error=1.4\%$

So, the percent error of the length of the soccer field is 1.4%

8 0

3 years ago

Whose function has the larger slope?

horsena [70]

Well, the one with the steeper slope would be Marty's with a slope if 2/3.

6 0

3 years ago

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The expression cos 42° in terms of sine

GalinKa [24]

Answer:

$\because \: \cos \theta = \sin \: (90 \degree - \theta) \\ \\ \therefore \: \cos \: 42 \degree = \sin \: (90 \degree - 42 \degree) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sin \: 48 \degree \\ \\ \: \: \: \: \: \: \: \: \: \: \: \orange{ \boxed{ \therefore \: \cos \: 42 \degree =\sin \: 48 \degree}}$

8 0

3 years ago

The solution of the equation 7x+2=23 is ?

ikadub [295]

7x+2=23
Move 2 to the other side
7x=23-2
7x=21

To isolate the x divide both sides by 7
x=3

To check plug the value of x back in

7(3)+2=23
21+2=23
23=23

3 0

3 years ago

Read 2 more answers