Solve forx: 4 - (x + 2) < -3(x + 4) (1 point)
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Answer:
Step-by-step explanation:
Since the population standard deviation , is known, we use the z confidence interval for the mean.
This is given by:
For a 95% confidence interval we use .
It was also given that: ,
and
Let us substitute the values to get:
<u>Interpretation:</u>
We can say with 95% confidence that the interval between 1463.3 and 1580.7 SAT scores contains the population mean based on the sample 125 SAT scores.
200 flying insects she catch for her project .
<u>Step-by-step explanation:</u>
We have , Heather had to collect insects for her biology project. She was able to collect 225 total insects. She collected 8 times as many insects that could fly as insects that couldn't fly. That means insects ratio of non-fly to fly is 1:8 .
There are a total of 225 insects , and for every one non fly insect there are 8 fly insects , Let x be the number of insects that can't fly so:
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So , Number of fly insects = 8x = 8(25) = 200 . ∴ 200 flying insects she catch for her project .