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4 years ago

The fifth term of the sequence will be 11, -1, 2, 5, 8,

Mathematics

1 answer:

Mnenie [13.5K]4 years ago

6 0

Yes it will be 3 since it gradually increases by 3

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One measure of an athlete’s ability is the height of his or her vertical leap. Many professional basketball players are known fo

almond37 [142]

Answer:

(1) P( $\bar X$ < 26 inches) = 0.0436

(2) P(27.5 inches < $\bar X$ < 28.5 inches) = 0.2812

Step-by-step explanation:

We are given that the mean vertical leap of all NBA players is 28 inches. Suppose the standard deviation is 7 inches and 36 NBA players are selected at random.

Firstly, Let $\bar X$ = mean vertical leap for the 36 players

Assuming the data follows normal distribution; so the z score probability distribution for sample mean is given by;

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

where, $\mu$ = population mean vertical leap = 28 inches

$\sigma$ = standard deviation = 7 inches

n = sample of NBA player = 36

(1) Probability that the mean vertical leap for the 36 players will be less than 26 inches is given by = P( $\bar X$ < 26 inches)

P( $\bar X$ < 26) = P( $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{26-28}{\frac{7}{\sqrt{36} } }$ ) = P(Z < -1.71) = 1 - P(Z $\leq$ 1.71)

= 1 - 0.95637 = 0.0436

(2) <em>Now, here sample of NBA players is 26 so n = 26.</em>

Probability that the mean vertical leap for the 26 players will be between 27.5 and 28.5 inches is given by = P(27.5 inches < $\bar X$ < 28.5 inches) = P( $\bar X$ < 28.5 inches) - P( $\bar X$ $\leq$ 27.5 inches)

P( $\bar X$ < 28.5) = P( $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{28.5-28}{\frac{7}{\sqrt{26} } }$ ) = P(Z < 0.36) = 0.64058 {using z table}

P( $\bar X$ $\leq$ 27.5) = P( $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{27.5-28}{\frac{7}{\sqrt{26} } }$ ) = P(Z $\leq$ -0.36) = 1 - P(Z < 0.36)

= 1 - 0.64058 = 0.35942

Therefore, P(27.5 inches < $\bar X$ < 28.5 inches) = 0.64058 - 0.35942 = 0.2812

6 0

4 years ago

Please help meee :((

astra-53 [7]

Answer:

49 +80= 129

180 - 129= 51

Opposite are equal.

Extend line of QR - so, the x shape made can be used to calculate what x is.

51 + 51 = 102

Reflex angles adds to 360

360-102= 258 of the other opposite angles left.

258/2 = 129 since opposite angles are equal.

Answer is 129 degrees

Hope this helps!

3 0

3 years ago

How do you answer rhis

Igoryamba

You answer this problem bye cost i already got my answer though thanks for trying...

5 0

3 years ago

A department store buys a necklace for $65 and uses a markup rate of 45%. whats the selling price?

Veronika [31]

Multiply 65 by .45 which is 29.25, and you add it to 65 since it says “markup” in the problem. So the answer is $94.25

8 0

3 years ago

Directions: Solve these equations by using addition. You will need to use your fraction and decimal skills to solve these equati

djyliett [7]

Answer:

6 and 1/3

Step-by-step explanation:

8 minus 1 is 7 and 7 minus 2/3 is 6 1/3. Therefore the number you started with is 6 and 1/3. Hope this helps :)

3 0

3 years ago