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Semenov [28]
3 years ago
5

A student organization wondered how many hours per week college students study during a term. Each of the 10 students in the org

anization asked 10 of their friends how much they typically studied each week. A​ 95% confidence interval for the mean number of hours studied per week was​ (18,30). Are the conditions satisfied to use the confidence interval to make an inference to the population of​ interest?
Mathematics
1 answer:
Inga [223]3 years ago
4 0

Answer:

No, a convenience sample was taken.Therefore, the sample may not be representative of all college students in terms of number of hours studied per week.

Step-by-step explanation:

One of the important conditions required in other to estimate the mean of the population from the confidence interval. Requires that the data must be a random Sample. This is to ensure that sample values are not biased and as such are representative of the larger group of data.

However, in the scenario described above, the sample chose. Are friend's of the student, this makes the data lack randomness as those who aren't friends to the student do not stand a chance of being selected. The sampling procedure employed is called convenience sampling.

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What is the half-angle of tangent 22.5 (degrees)?
Sergio039 [100]

Find tan (22.5)

Answer: #-1 + sqrt2#

Explanation:

Call tan (22.5) = tan t --> tan 2t = tan 45 = 1

Use trig identity: # tan 2t = (2tan t)/(1 - tan^2 t)# (1)

#tan 2t = 1 = (2tan t)/(1 - tan^2 t)# -->
--> #tan^2 t + 2(tan t) - 1 = 0#
Solve this quadratic equation for tan t.

#D = d^2 = b^2 - 4ac = 4 + 4 = 8# --> #d = +- 2sqrt2#
There are 2 real roots:
tan t = -b/2a +- d/2a = -2/1 + 2sqrt2/2 = - 1 +- sqrt2
Answer:
#tan t = tan (22.5) = - 1 +- sqrt2#
Since tan 22.5 is positive, then take the positive answer:
tan (22.5) = - 1 + sqrt2


6 0
3 years ago
Read 2 more answers
Here are two steps from the derivation of the quadratic formula,
BaLLatris [955]

Answer:

A

Step-by-step explanation:

Taking the square root of both sides.

8 0
3 years ago
A certain cold remedy has an 88% rate of success of reducing symptoms within 24 hours. Find the probability that in a random sam
Hitman42 [59]

Answer:

The probability of cured people in who took the remedy is 8/9.

Step-by-step explanation:

Success rate of the cold remedy = 88%

The number of people who took the remedy = 45

Now, 88% of 45 = \frac{88}{100}  \times 45 = 39.6

and 39.6 ≈ 40

So, out of 45 people, the remedy worked on total 40 people.

Now, let E: Event of people being cured by cold remedy

Favorable outcomes = 40

\textrm{Probability of Event E}  = \frac{\textrm{Total number of favorable outcomes}}{\textrm{Total outcomes}}

or, \textrm{Probability of people getting cured}  = \frac{\textrm{40}}{\textrm{45}}  = \frac{8}{9}

Hence, the probability of cured people in who took the remedy is 8/9.

3 0
3 years ago
Solve eight and two fourths minus three and one third
soldier1979 [14.2K]

Answer:

5 1/6

Step-by-step explanation:

Rewriting our equation with parts separated

=8+2/4−3−1/3

Solving the whole number parts

8−3=5

Solving the fraction parts

2/4−1/3=?

Find the LCD of 2/4 and 1/3 and rewrite to solve with the equivalent fractions.

LCD = 12

6/12−4/12=2/12

Reducing the fraction part, 2/12,

2/12=1/6

Combining the whole and fraction parts

5+1/6=5 1/6

3 0
3 years ago
|-17|+1 simplify this
grandymaker [24]

Answer:

18 is the correct answer

I-17 I+1= 17+1=18

4 0
3 years ago
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