a triangle has side measuring 8 inches and 12 inches if x represents the length in inches o the third side which inequality give
1 answer:
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Answer: $10881.81 is invested at 6% and $1518.18 is invested at 5%.
Step-by-step explanation:
Since we have given that
Amount invested = $12400
Rate of interest for first part = 6%
Rate of interest for second part = 5%
Let the amount invested for 6% be 'x'.
Let the amount invested for 5% be 'y'
According to question, we get that
So, it becomes,
x=12400-y=12400-1518.18=$10881.81
Hence, $10881.81 is invested at 6% and $1518.18 is invested at 5%.
Answer:
a) 14.46%
b) 0.00%
c) 1.54%
Step-by-step explanation:
According to the survey, 10% of Americans are afraid to fly.
This means and
.
If 1100 Americans are sampled, then the sample size is .
The mean of the distribution is .
This means
The standard deviation is
We substitute the values to get:
a) We want to find the probability that 121 or more Americans in the survey are afraid to fly.
We first apply the continuity correction factor to get:
We now convert to Z-scores to get:
From the standard normal distribution table P(z>1.06)=0.1446
As a percentage, the probability is 14.46%
b) We want to find the probability that 165 or more Americans in the survey are afraid to fly.
We apply the CCF to get:
We convert to z-scores:
From the normal distribution, P(z>164.5)=0
c) First, 8% of 1100 is 88.
We want to find the probability that 88 or less Americans in the survey are afraid to fly.
We apply the CCF to get:
We convert to z-scores:
From the normal distribution, P(z>\:-2.16)=0.0154
As a percentage, we get 1.54%