Answer:
(c) H0 should be rejected
Step-by-step explanation:
Null hypothesis (H0): population mean is equal to 5
Alternate hypothesis (Ha): population mean is greater than 5
Z = (sample mean - population mean) ÷ (sd/√n)
sample mean = 5.3, population mean = 5, sd = 1, n = 500
Z = (5.3 - 5) ÷ (1/√500) = 0.3 ÷ 0.045 = 6.67
Using the normal distribution table, for a one tailed test at 0.01 significance level, the critical value is 2.326
Conclusion:
Since 6.67 is greater than 2.326, reject the null hypothesis (H0)
Answer:
44cm^2
Step-by-step explanation:
We work with area for rectangles using the face of the longer length first as this is the awkward length the perpendicular side to the easy calculation of the square and sits perpendicular to the square.
We choose the longer length and plug in and choose one of the two calculation answers.
11 x 4 = 44
11 x 6 = 66
We see the answer is 44cm^2, so we choose this one.
The numbers are irrational, so they can't be exactly written down
using only digits.
In exact form, they are
1 + √57
and
1 - √57 .
In rounded form, they are
8.54983
and
-6.54983 .
Answer:
Step-by-step explanation:
a^2 + b^2 = c^2
6 = b
c= 8
a=?
now u just replace
a^2 + 6^2 = 8^2
a^2 + 32 = 64
a ^2 = 64-32
a^2 = 32

a = 5.65685424949
if you rounded
a = 5,7
A: x (isabella)
3x+x=36
b: 3x+x=36
4x=36
x=9
3x=27
c: Joseph is 27 years old.