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MrRissso [65]
3 years ago
11

When a biased coin is thrown 4 times, the probability of getting 4 heads is

Mathematics
1 answer:
pochemuha3 years ago
7 0

Answer:

1/81

Step-by-step explanation:

P(H,H,H,H)=16/81

fourth root of 16/81= 2/3

so the probability of getting tails would be 1/3

probability of getting 4 tails would be:

P(T,T,T,T)=(1/3)^4

=1/81

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What is the converse of the conditional statement?
Svetach [21]

Answer:

  If x + 1 is odd, then x is even.

Step-by-step explanation:

The converse of the statement ...

  if P, then Q.

is ...

  if Q, then P.

Here, we have P="x is even" and Q="x+1 is odd". The converse statement is ...

  if x+1 is odd, then x is even.

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3 years ago
Female athletes at the University of Colorado, Boulder, have a long-term graduation rate of 67% (Source: Chronicle of Higher Edu
VLD [36.1K]

Answer:

Yes, we can assume that the percent of female athletes graduating from the University of Colorado is less than 67%.

Step-by-step explanation:

We need to find p-value first:

z statistic = (p⁻ - p0) / √[p0 x (1 - p0) / n]

p⁻ = X / n = 21 / 38 = 0.5526316

the alternate hypothesis states that p-value must be under the normal curve, i.e. the percent of female athletes graduating remains at 67% 

H1: p < 0.67 

z = (0.5526316 - 0.67) / √[0.67 x (1 - 0.67) / 38] = -0.1173684 / 0.076278575

z = -1.538681 

using a p-value calculator for  z = -1.538681, confidence level of 5%

p-value = .062024, not significant

Since p-value is not significant, we must reject the alternate hypothesis and retain the null hypothesis.

3 0
3 years ago
I need help with this question plzz
Serjik [45]

Answer:

40 miles away from home

To put it in yard would be 82,720

Step-by-step explanation:

8 0
3 years ago
when johns age is doubled, the number is 5 more than kaylas age. if john is x years old, what is kayalas age?
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Answer:

Ang mga Babae sa Relihiyon at Pilosopiya sa Asya. Limang Ugnayan. emperador-mamamayan. ama-anak na lalaki.

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2 years ago
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