Answer: " 15 % " .
_______________________________
→ " 12 is <u> 15% </u> of 80 " .
_______________________________
Step-by-step explanation:
_______________________________
12 = (n/100) * 80 ;
12 = (80n) /100 ; Solve for "n:
Note: 80/100 = (80/10) / (100/10) = (8/10) = 0.8 ;
12 = (0.8)n ;
↔ (0.8n) = 12
Multiply each side of the equation by "10" ; to get rid of the "decimal" ;
10 * (0.8n) = 10 * 12 ;
to get:
_______________________________
8n = 120 ;
Divide each side of the equation by "8" ;
to isolate "n" on ONE SIDE of the equation; & to solve for "n" ;
8n/8 = 120/ 8 ;
_______________________________
to get:
_______________________________
n = 15 .
_______________________________
Answer: " 15 % " .
_______________________________
→ " 12 is <u> 15% </u> of 80 " .
_______________________________
Hope this helps!
Best wishes!
_______________________________
Answer:
a
Step-by-step explanation:
Divide the money raised by the number of laps skated.
$600.00 ÷ 1200 = $0.50 → a
Answer:
x = -1
, y = 1
Step-by-step explanation:
Solve the following system:
{5 x + 3 y = -2 | (equation 1)
3 x + 2 y = -1 | (equation 2)
Subtract 3/5 × (equation 1) from equation 2:
{5 x + 3 y = -2 | (equation 1)
0 x+y/5 = 1/5 | (equation 2)
Multiply equation 2 by 5:
{5 x + 3 y = -2 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{5 x+0 y = -5 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -1 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = -1
, y = 1
Hope this answer helps you! Please make it the brainiest answer if it does! :)
Answer:
Z-score for 34-week baby = 0.643
Z-score for 41-week baby = 1.154
Baby weight of 41-week is more than the baby weight of 34-week in the gestation period.
Step-by-step explanation:
Given - Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams
To find - Find the corresponding z-scores. Which baby weighs more relative to the gestation period.
Proof -
Given that,
In between period of 32 to 35 weeks
Mean = 2500
Standard deviation = 700
In between after a period of 40 weeks
Mean = 3100
Standard deviation = 390
Now,
For a 34-week baby,
X = 2950
For a 41-week baby,
X = 3550
Now,
Z-score = (X - mean) / Standard deviation
Now,
For a 34-week baby,
Z - score = (2950 - 2500) / 700 = 0.643
For a 41-week baby,
Z-score = (3550 - 3100) / 390 = 1.154
∴ we get
Z-score for 34-week baby = 0.643
Z-score for 41-week baby = 1.154
As 1.154 > 0.643
So,
Baby weight of 41-week is more than baby weight of 34-week in the gestation period.
