Answer:
Step-by-step explanation:
We want to determine a 95% confidence interval for the population mean for the prices of slice toasters.
Number of sample, n = 12
Mean, u = $61.12
Standard deviation, s = $24.62
For a confidence level of 95%, the corresponding z value is 1.96.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
61.12 ± 1.96 × 24.62/√12
= 61.12 ± 1.96 × 7.107
= 61.12 ± 13.93
The lower end of the confidence interval is 61.12 - 13.93 =47.19
The upper end of the confidence interval is 61.12 + 13.93 = 75.05
Answer:
A) Parallelogram and Rectangle
Step-by-step explanation:
A parallelogram has two pairs of parallel sides. Because a rectangle has two pairs of parallel sides AND 4 right angles, the first option is correct.
Answer:
128°
Explanation:
1 = 4 because of vertical angles are the same
4 = 5 because of alternate interior angles are the same
5 = 8 vertical angles
8 = 9 alternate interior angles
9 = 12 vertical angles
180° = 12 + 11
11 = 180° - 52°
angle 11 = 128°
2 x
----- = ------
3 15
cross multiply
(3)(x) = (15)(2)
3x = 30
x = 30/3
x = 10
so 2/3 = 10/15.......notice how these are equivalent fractions....that is because proportions are nothing but equivalent fractions
Number of ones = 60
Number of twos = 62
Number of threes = 59
Number of fours = 64
Number of fives = 63
Number of sixes = 75
Total even outcomes = total number of two, four and sixes = 62 + 64 + 75 = 201
Total outcomes = 60+62+59+64+63+75= 383
Probability if rolling an even number = 201/383
percentage= 201/383 × 100 = 52.48% ~ 52.5%
