Answer:
c. 0.778 < p < 0.883.
Step-by-step explanation:
The formula for confidence interval for proportion =
p ± z score × √p(1 - p)/n
p = x/n
n = 195, x = 162
z score for 95% confidence Interval = 1.96
p = 162/195
p = 0.8307692308
p ≈ approximately equal to = 0.8308
0.8308 ± 1.96 × √0.8308 × (1 - 0.8308)/195
0.8308 ± 1.96 ×√0.8308 × 0.1692/195
0.8308 ± 1.96 × √0.0007208788
0.8308 ± 1.96 × 0.0268491862
0.8308 ± 0.052624405
Confidence Interval
= 0.8308 - 0.052624405
= 0.778175595
Approximately = 0.778
= 0.8308 + 0.052624405
= 0.883424405
Approximately = p
0.883
Therefore, the confidence interval for this proportion = (0.778, 0.883) or option c. 0.778 < p < 0.883
Answer:
So 452.3 campers will be coming back next year
Step-by-step explanation:
The temperature rose by 47 degrees Fahrenheit, because it first went from -32 to 0, and then from 0 to 15.
1) 2.4
2) 6.4
3) 7.7
4) 9.9
5) 2.8
Hope it helps <3
Just basic simplification, make 1 of the variable alone on one side
Given:
The point is located at P(4,7).
It is translated along
.
To find:
The image of the given point after the translation.
Solution:
The point is translated along
. So, the rule of translation is defined by:

The point is located at P(4,7).
Using the above rule, we get


The image of given point after the translation is (5,10).
Therefore, the correct option is A.