Here, we are required to determine after how many minutes will the two substances be at the same temperature.
The equation of when the two substances will be at the same temperature and the solution are as follows;
(a) The equation is 96.2 + 1.5(x) = 98.5 + 0.8(x).
(b) The solution is, x = 3.285minutes.
For substance A which is currently at 96.2° and rising at 1.5° each minute; It's temperature after x minutes is given as;
For substance B which is currently at 98.5° and rising at 0.8° each minute; It's temperature after x minutes is given as;
(a) For the two substances to be at the same temperature; T(a) must be equal to T(b).
The equation is therefore;.
96.2 + 1.5(x) = 98.5 + 0.8(x)
(b) To determine the solution;
1.5x - 0.8x = 98.5 - 96.2
0.7x = 2.3
x = 2.3/0.7
x = 3.285minutes.
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Using the z-distribution and the formula for the margin of error, it is found that:
a) A sample size of 54 is needed.
b) A sample size of 752 is needed.
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which z is the z-score that has a p-value of 
.
The margin of error is of:
90% confidence level, hence
, z is the value of Z that has a p-value of 
, so 
.
Item a:
The estimate is 
.
The sample size is <u>n for which M = 0.03</u>, hence:
Rounding up, a sample size of 54 is needed.
Item b:
No prior estimate, hence 
Rounding up, a sample of 752 should be taken.
A similar problem is given at brainly.com/question/25694087
Answer:
86
Step-by-step explanation:
let four consecutive integers: n , n+1 , n+2 , n+3
n + n+1 + n+2 + n+3 = 342
4n + 6 = 342
4n + 6 - 6 = 342 - 6
4n = 336
divid by : 4
n = 84
but the third term is : n +2 so : 84+2 = 86
Answer:
1) Show that the shape is a parallelogram with equal length sides
2) Show that the shape's diagonals are each others' perpendicular bisectors
3) Show that the shape's diagonals bisect both pairs of opposite angles.
Step-by-step explanation:
Answer:
5(y / 7)
Step-by-step explanation:
A quotient is the answer to a division problem. This tells us that y and 7 are being divided.
We have (y / 7) so far.
Five times this quotient (y / 7) can be represented by 5*, as the quotient is being multiplied by 5.
The final expression can be shown as: 5(y / 7).
