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lora16 [44]
3 years ago
7

Pls help me on this math watch!!! this is non calculator

Mathematics
1 answer:
Andru [333]3 years ago
8 0

The height of the cone is 4 cm (approx).

Step-by-step explanation:

Given,

The radius (r) of the cone = 4.96 cm

Volume (V) = 102 cm³

To find the height (h) of the cone.

Formula

The volume of a cone V = \frac{1}{3}πr²h

Now,

According to the problem,

\frac{1}{3}πr²h = 102

or,  \frac{1}{3}×\frac{22}{7}×(4.96)²h= 102

or, h = \frac{102X7X3}{4.96^{2}X22 }

or, h = 3.95 = 4 (approx)

so,

Height = 4 cm (approx)

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Based on past experience, a telemarketing firm has found that calls to prospective customers take an average of 2.0 minutes, wit
xenn [34]

Answer: Our required probability would be 0.9641.

Step-by-step explanation:

Since we have given that

Number of hours he works a day = 8

So, Number of minutes he worked in a day = 8\times 60=480\ minutes

Number of calls = 220

So, Average =\bar{x}=\dfrac{480}{220}=2.18\ minutes

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Using the normal distribution, we get that

z=\dfrac{\bar{x}-\mu}{s}\\\\z=\dfrac{2.18-2.0}{0.10}\\\\z=1.8

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3 years ago
What is 2.54 centimeters are in 1 inch, how many centimeters are in 4 inches?
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3 years ago
A coin is tossed 5 times. Find the probability that all are heads. Find the probability that at most 2 are heads.
fenix001 [56]

Answer:

1/32

15/32

Step-by-step explanation:

For a fair sided coin,

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Probability of tails P(T)  = 1/2

For a coin tossed 5 times,

P( All heads)

= P(HHHHH),

= P (H) x P(H) x P(H) x P(H) x P(H)

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= 1/32 (Ans)

For part B, it is easier to just list the possible outcomes for

"at most 2 heads" aka "could be 1 head" or "could be 2 heads"

"One Head" Outcomes:

P(HTTTT), P(THTTT) P(TTHTT), P(TTTHT), P(TTTTH)

"2 Heads" Outcomes:

P(HHTTT), P(HTHTT), P(HTTHT), P(HTTTH), P(THHTT), P(THTHT), P(THTTH), P(TTHHT), P(TTHTH), P(TTTHH)

If we count all the possible outcomes, we get 15 possible outcomes representing "at most 2 heads)

we know that each outcome has a probability of 1/32

hence 15 outcomes for "at most 2 heads" have a probability of

(1/32) x 15  = 15/32

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