Answer:
The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.
The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.
The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.
Answer- KG⎯∥JH⎯
the given figure is a trapezium in which CF||DE
Reflection of figure CDEF and shifting it by 3 units does not change the shape of the figure but changes only its position in the x-y plane.
so, the shape of the figure GHJK will be same as that of CDEF.
so sides, KG⎯∥JH⎯
Answer:
x+9
Step-by-step explanation:
the perimeter of any polygon is the sum of all the sides
Answer:
70%
Step-by-step explanation:
Maths homework takes 1/6×150mins
=150/6=25 mins
science homework takes 20/100×150
=3000/100
=30mins
Language Arts homework uses 1/3×150
=150/3
=50 mins
percent of time left for Marsha's social studies homework=total time used / original time
=(25+30+50)mins
=105mins/150mins×100%
=0.7×100
=70%
Answer:
1. Josh's father: f Josh: f/2 - 2
2. f + (f/2 - 2) ≥ 49
3. 3/2 f - 2 ≥ 49
3/2 f ≥ 51
3f ≥ 102
f ≥ 34
4. 34