Answer:
5
Step-by-step explanation:
-1 + 6 = 5
9514 1404 393
Answer:
about 1.57×10^27 (see below for the exact value)
Step-by-step explanation:
1,570,042,899,082,081,611,640,534,563
__
Most calculators do not carry enough internal digits to compute the exact value of this number. Fortunately, there are "infinite precision" math packages around that will find this value for you.
Answer: 2 enlargments
Step-by-step explanation:
Use proportion for each enlargment you do
Side a=6cm Side b=4cm
6:4=x:7 4:4=b1:7
7*6=4a1 b1=28/4
a1=42/4 b1=7 after first enlrge
a1=10.5 after first enlarge 7:4=b2:7
10.5:4=a2:7 b2=49/4
a2=73.5/4 xb2=12.5 after 2nd enlarge
a2=18.375 after 2nd enlarge
12.5:4=b3:7
18,375:4=a3:7 b3=21.875 cm after 3rd enlargement
a3=32.15after 3rd enlargement
Values after 3rd enlargement are higher than dimension given for picture wall
30 cm by 20 cm
Answer:
On the SAT her z-score was 1.4
On the ACT her z-score was 1.5
Due to the higher z-score, she performed better on the ACT.
Step-by-step explanation:
The z-score measures how many standard deviations a score X is above or below the mean. it is given by the following formula:

In which
is the mean and
is the standard deviation.
In this problem
We find her z-score for both the SAT and the ACT.
SAT
Exam Caitlin's Exam Score Mean Exam Score Standard Deviation
SAT 1850 1500 250
So 



ACT
Exam Caitlin's Exam Score Mean Exam Score Standard Deviation
ACT 28 20.8 4.8
So 



She wants to know on which test she performed better. Find the z-scores for her result on each exam.
On the SAT her z-score was 1.4
On the ACT her z-score was 1.5
Due to the higher z-score, she performed better on the ACT.