Help me find the area of the triangle... ****picture attached
1 answer:
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Answer:
- CD = 5.7 cm
- ED = 3.05 cm
Step-by-step explanation:
a) ΔACD ~ ΔABE so the ratios of corresponding sides are the same. That is ...
CD/BE = CA/BA
CD/3.8 = 12.3/8.2
CD = 3.8×12.3/8.2 = 5.7 . . . . cm
__
b) As above, the ratios of corresponding sides are the same.
ED/AD = BC/AC
ED/9.15 = (12.3-8.2)/12.3 . . . . BC = AC - AB
ED = 9.15×4.1/12.3 = 3.05 . . . . cm
Answer:
Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.
So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.
Step-by-step explanation:
So he wants to keep his consumption of carbs between the inequalities:
So, let's solve both inequalities.
1)
Subtract 10 from both sides:
Divide both sides by 2:
2)
Subtract 10 from both sides:
Divide both sides by 2:
So, our inequality is now:
Since we solved the equations:
Written as a compound inequality, this is:
In other words, Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.
So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.
Answer:
The standard error of the proportion is 0.0367.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the standard error is
In this question:
So
The standard error of the proportion is 0.0367.