Answer:
$1,140, or $1,144.9
Step-by-step explanation:
70 is 7% of 1,000
70 x 2 = 140
140 + 1,000 = 1,140
Or, if you mean 7% compounded annually then....
1,070 after first year.
7% of 1,070 = 74.9
74.9 + 1,070 = 1,144.9
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.
Answer:
D. Mr. Roland’s class was more successful because his class’s lower quartile was the same as Mrs. Cai’s class’s upper quartile.
Step-by-step explanation:
Mrs. Cai's class's box ranges from 2 to 4, that is, her class’s upper quartile is 4.
Mr. Roland's class's box ranges from 4 to 7, that is, his class’s lower quartile 4.
Answer:
x=-2,y=-4
Step-by-step explanation:
Substuting the value of y in second equation.
3x+3×2x=-18
9x=-18
x=-2
putting the value of x in equation 1 ,
y=-4