Answer:
The error she made was that she was adding x and 2.75. She should subtract 2.75 from x.
Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.
Step-by-step explanation:
The error she made was that she was adding x and 2.75.
She should write the equation as 8 (x - 2.75) = 78; as she spends $2.75 to make a necklace.
By using the correct equation: 8 (x - 2.75) = 78
=> 8x - 22 = 78
=> 8x = 78 + 22
=> 8x = 100
=> x = 100/8
=> x = 12.5
Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.
Hope this helps you.
Answer:
And we can find this probability using excel or the normal standard tabe and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using excel or the normal standard tabe and we got:
We let k be the proportionality constant for the relationship between number of hours, h and speed of the walker, s.
h = k/s
Substituting the known values,
12 = k/5
k = 60
For the second scenario,
h = k/s
Substituting the calculated value for k and the given value for speed,
h = (60)(3 miles/hour)
h = 20 hours
h = 20 hours
Therefore, it will take 20 hours to walk with a speed of 3 miles per hour.
we know that
The multiplicative rate of change of the exponential function between two points is equal to
![[f(b) / f(a) ] / (b-a)](https://tex.z-dn.net/?f=%5Bf%28b%29%20%2F%20f%28a%29%20%5D%20%2F%20%28b-a%29)
Let

we have that

substitute in the formula
![[4 / 6 ] / (2-1)=4/6=2/3](https://tex.z-dn.net/?f=%5B4%20%2F%206%20%5D%20%2F%20%282-1%29%3D4%2F6%3D2%2F3)
Let

we have that

substitute in the formula
![[(16/9) / (8/3) ] / (4-3)=48/72=2/3](https://tex.z-dn.net/?f=%5B%2816%2F9%29%20%2F%20%288%2F3%29%20%5D%20%2F%20%284-3%29%3D48%2F72%3D2%2F3)
therefore
<u>the answer is the option</u>
B.) 2/3