The triangle lengths would be 14√2, 7√2 and 7√6.
The sides of a 45-45-90 triangle can be listed as t, t and t√2. The legs are each 14, so the hypotenuse will be 14√2.
This will also be the longest side of the 30-60-90 triangle. Its sides can be listed as t, 2t and t√3. Since the hypotenuse is the longest side, we have:
2t=14√2
Dividing both sides by 2, we have:
2t/2 = 14√2/2
t = 7√2
The remaining side will be t√3:
t = 7√2
t√3 = 7√2(√3) = 7√6
Answer:
The answers for ed is
Step-by-step explanation:
16 and 10
Answer:
95% confidence interval for the percentage of all U.S. public high school students who are obese is [0.110 , 0.190].
Step-by-step explanation:
We are given that 15% of a random sample of 300 U.S. public high school students were obese.
Firstly, the pivotal quantity for 95% confidence interval for the population proportion is given by;
P.Q. =
~ N(0,1)
where,
= sample % of U.S. public high school students who were obese = 15%
n = sample of U.S. public high school students = 300
p = population percentage of all U.S. public high school students
<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>
<u></u>
<u>So, 95% confidence interval for the population proportion, p is ;</u>
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level
of significance are -1.96 & 1.96}
P(-1.96 <
< 1.96) = 0.95
P(
<
<
) = 0.95
P(
< p <
) = 0.95
<u>95% confidence interval for p</u> = [
,
]
= [
,
]
= [0.110 , 0.190]
Therefore, 95% confidence interval for the percentage of all U.S. public high school students who are obese is [0.110 , 0.190].
Answer:
Step-by-step explanation:
Numerical data are majorly in digit form (i.e numbers), while a categorical data deals with grouped data. Thus some probable answers to the questions are:
1. Categorical data.
ii. Possible responses could be: English breakfast or Continental breakfast.
2. Categorical data.
ii. Possible responses could be: either by road or by air transportation
3. Numerical data.
ii. Possible responses could be: 6 or 10
4. Categorical data.
ii. Possible responses could be: snacks or soft drink
5. Numerical data.
ii. Possible responses could be: 20 minutes or 30 minutes