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2 years ago

A point is located in a polar coordinate system by coordinates r = 2.5 m and Θ = 35°.

1 answer:

7 0

$x=r\cos \theta\\
y=r\sin \theta\\\\
x=2.5\cdot\cos 35\approx2.5\cdot0.82\approx2.1\\
y=2.5\cdot\sin 35\approx2.5\cdot 0.57\approx1.4$

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Assume that women's heights are normally distributed with a mean given by mu equals 62.3 in, and a standard deviation given by

Salsk061 [2.6K]

Answer: a) 0.6141

b) 0.9772

Step-by-step explanation:

Given : Mean : $\mu= 62.3\text{ in}$

Standard deviation : $\sigma = \text{2.4 in}$

The formula for z -score :

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

a) Sample size = 1

For x= 63 in. ,

$z=\dfrac{63-62.3}{\dfrac{2.4}{\sqrt{1}}}=0.29$

The p-value = $P(z$

$0.6140918\approx0.6141$

Thus, the probability is approximately = 0.6141

b) Sample size = 47

For x= 63 ,

$z=\dfrac{63-62.3}{\dfrac{2.4}{\sqrt{47}}}\approx2.0$

The p-value = $P(z$

$=0.9772498\approx0.9772$

Thus , the probability that they have a mean height less than 63 in =0.9772.

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3 years ago

A high school band has 63 members. 2/9 of the members play a

leonid [27]

14 students play a brass instrument :)

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2 years ago

Read 2 more answers

What is 0.968 as a square root

Juliette [100K]

Answer:

0.98386991

0.9839

Step-by-step explanation:

$\sqrt{0.968 }$

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3 years ago

a coin is tossed. find the probability of the coin landing on heads. write your answer as a fraction, percent, and decimal

inysia [295]

Since there are only two sides (heads & tails) to a coin:
Probability (as fraction) - 1/2
Probability (as percent) - 1/2 x 100 = 50%
Probability (as decimal) - 1 x 50/2 x 50 = 50/100 = 0.5

(P.S. Please mark this answer as the brainliest answer... Thank You)

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2 years ago

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A tennis player keeps track of the number of successful first serves he makes. During the first 8 service points of a game, only

Andru [333]

Answer:

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

Step-by-step explanation:

After n consecutive serves, his total number of serves is going to be n+8, since he has already served 8 times. In the best case, his number of successful first serves is n+2.

His percentage of succesful first serves is the division of the number of succesful first serves divided by the total number of serves. So

$P = \frac{n+2}{n+8}$