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2 years ago

Find the volume of the cone

Mathematics

2 answers:

aivan3 [116]2 years ago

6 0

Answer:

12π

Step-by-step explanation:

Volume of the cone is πr^2 * h / 3

r = 3

h = 4

9π * 4 / 3 = 12π

Alexeev081 [22]2 years ago

5 0

Answer: 37.6991118

Step-by-step explanation:

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3 years ago

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A university knows from historical data that 25% of students in an introductory statistics class withdraw before completing the

Vikki [24]

Answer:

13.4%

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, n = 16, r = 2, p = 0.25, and q = 0.75.

P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²

P = 120 (0.25)² (0.75)¹⁴

P = 0.134

There is a 13.4% probability that exactly 2 students will withdraw.

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3 years ago

4. A statistician working for the National Basketball Association supplies the television announcers with interesting statistics

Sonbull [250]

Answer: 0.038

Step-by-step explanation:

Given: Total games : n= 375

Number of games won by the team that was winning the game at the end of the third quarter. = 300

The proportion (p) of the team that was winning the game at the end of the third quarter: $p=\dfrac{300}{375}=0.8$

Critical z-value for 90% confidence: z* = 1.645

Margin of error = $z^*\sqrt{\dfrac{(1-p)p}{n}}$

The margin of error in a 90% confidence interval estimate of p $=1.645\sqrt{\dfrac{0.2\times0.8}{300}}\\= 1.645\times\sqrt{0.00053333}\\\\=1.645\times0.0231\\\\=0.0379995\approx$$0.038$

Hence, the required margin of error = 0.038

7 0

3 years ago

Alberto spent $115 on shirts T-shirts cost $10 and long sleeve shirts cost $15 if he bought a total of nine then how many of eac

Step2247 [10]

Answer:

4 T-shirts and 5 long sleeves shirts.

Step-by-step explanation:

T-shirt cost =$10

Long sleeve shirt cost = $15

Total number of shirts = 9

Total number of T-shirts = 4

Cost of 4 T-shirts = 4 × 10 =$ 40

Total number of long sleeve shirt = 5

Cost of 5 long sleeve shirt = 5 × 15 =$ 75

Verification:

75+40 = $115 proved!

8 0

3 years ago