Answer:
700 calories
Step-by-step explanation:
Answer:


Then we can find the probability of interest with this difference:
And using the normal standard distribution or excel we got:
So then the probability that the sample mean would differ from the true mean by less than 28 dollars from the sample of 55 is approximately 0.390
Step-by-step explanation:
We define the variable of interest as the per capita income and we know the following properties for this variable:
and
We want to find this probability:
We select a sample size of n=55 and we define the z score formula given by:

We can find the z score then for 20880 and 20936 and we got:


Then we can find the probability of interest with this difference:
And using the normal standard distribution or excel we got:
So then the probability that the sample mean would differ from the true mean by less than 28 dollars from the sample of 55 is approximately 0.390
Answer:
Percent of water in the mixture=88%
Which is 81.07 square inches of the total volume
Step-by-step explanation:
Volume of the flask=πr^2h
π=3.142
radius=diameter/2
=3.71/2
=1.855
height=8.52 inches
Volume of the flask=πr^2h
=3.142*(1.855)^2*8.52
=3.142*3.441025*8.52
=92.115688686
Approximately 92.12 square inches
Flask contains 12% acid solution and the remaining volume is water
Percentage of water =Total percentage - acid solution percentage
=100%-12%
=88%
Percentage of Water =88%
Percentage of the mixture by volume is water=88% of the total volume
=88/100*92.12
=81.0656 square inches
Approximately 81.07 square inches
Answer:
Using the pythagoras theorem
Let's say the hypotenuse of the first diagram is b
b²=4²+2²
b²=16+4
b²=20
b=✔(20)
In finding x , b will be the opposite and the x be the hypotenuse
x²=(✔20)²+7²
x²=20 +49
x²=69
x=8.31