To solve -7y > 161, we divide both sides by -7 and we get y < -23. The inequality sign flipped because we divided both sides by a negative number.
To solve 7y > -161, we divide both sides by 7 and it leads to y > -23. The inequality sign does not flip in this case, because we are not dividing both sides by a negative number.
The similarities is that we end up with -23 on the right side, but the inequality signs are different.
Answer:
about 59.2
Step-by-step explanation:
The problem can be expressed as a proportion:
1000 cc/(33.8 fl oz) = x cc/(2 fl oz)
Multiplying by 2 fl oz, we get ...
x cc = (2000 cc)/33.8 ≈ 59.2 cc
There are about 59.2 cubic centimeters in 2 fluid ounces.
_____
A more accurate conversion factor is 33.814 fl oz/L, which would make the above result round to 59.1 cc.
Answer:
A
Step-by-step explanation:
since it is on sale for 27%, multiply $28 by 70% (0.7) to find the total amount of money the shirt costs now that it is on sale (since it's on sale for 30% off)
$28*0.7=$19.60
Answer:
By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.
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.
In this problem
The mean of the population is 643.6 minutes.
By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.