Point E has a positive y-coorsinate Where could point E be located on the coordinate plane?
1 answer:
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Answer: 1. D) 30
2. A) 8
3. B) 4/15
4. A) 2/9
5.D) 64%
Step-by-step explanation:
1. Since, here the tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token.
Thus, the total token = 10 blue tokens+ 8 green tokens+ 12 red tokens = 30 token
Therefore, If the first draw is a green token, Then total outcomes that will possible = 30.
2. Since, getting green is an event with 8 favorable outcomes.
Therefore, If the first draw is a green token, Then total favorable outcomes that will possible = 8.
3. The possibility of getting green in first drawn, P(G) =
P(G) =
4. Here, Number of red socks= 5
Number of white socks = 2 and Number of blue socks=3
Therefore total socks = 10
⇒ Probability of picking a pair of red socks,
P(R)=
⇒ P(R)= 2/9
5. Since, here coin is flipped 50 times and lands on heads 32 times.
Therefore, experimental probability that coin will land on heads on the next flip = (total times in which head appears/ total number of experiments) × 100 = (32/50)×100=64%
Answer:
Step-by-step explanation:
Hello!
There are two variables of interest:
X₁: number of college freshmen that carry a credit card balance.
n₁= 1000
p'₁= 0.37
X₂: number of college seniors that carry a credit card balance.
n₂= 1000
p'₂= 0.48
a. You need to construct a 90% CI for the proportion of freshmen who carry a credit card balance.
The formula for the interval is:
p'₁±
0.37±1.648*
0.37±1.648*0.015
[0.35;0.39]
With a confidence level of 90%, you'd expect that the interval [0.35;0.39] contains the proportion of college freshmen students that carry a credit card balance.
b. In this item, you have to estimate the proportion of senior students that carry a credit card balance. Since we work with the standard normal approximation and the same confidence level, the Z value is the same: 1.648
The formula for this interval is
p'₂±
0.48±1.648*
0.48±1.648*0.016
[0.45;0.51]
With a confidence level of 90%, you'd expect that the interval [0.45;0.51] contains the proportion of college seniors that carry a credit card balance.
c. The difference between the width two 90% confidence intervals is given by the standard deviation of each sample.
Freshmen:
Seniors:
The interval corresponding to the senior students has a greater standard deviation than the interval corresponding to the freshmen students, that is why the amplitude of its interval is greater.