Answer:
a) C = 3 + 5h
b) Slope = 5
y - intercept = 3
c) $28
Step-by-step explanation:
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour.
a) Write an equation for the cost, C, after h hours of babysitting.
The equation for the cost C is given as:
C = $3 + $5 × h
C = 3 + 5h
b) What do you think the slope and intercept represent?
The equation of a straight line is represented by
y = mx + c
Where
Slope = m and y-intercept = c
Comparing this with our equation in a
C = 3 + 5h = C = 5h + 3
mx = 5h
c = 3
Therefore,
Slope = 5
y - intercept = 3
c)How much money will she make if she baby-sits 5 hours?
We have our equation above as:
C = 3 + 5h
h = 5 hours
Hence,
C = 3 + 5 × 5
C = 3 + 25
C = $28
She would make $28
Answer:
![z =\frac{18.45-19}{\frac{7}{\sqrt{106}}}= -0.809](https://tex.z-dn.net/?f=%20z%20%3D%5Cfrac%7B18.45-19%7D%7B%5Cfrac%7B7%7D%7B%5Csqrt%7B106%7D%7D%7D%3D%20-0.809)
And if we use the normal standard distribution or excel we got:
![P(z](https://tex.z-dn.net/?f=%20P%28z%3C-0.809%29%20%3D%200.209)
Step-by-step explanation:
For this case we have the following info given:
represent the mean
represent the standard deviation
represent the sample size
The distribution for the sample size if we use the central limit theorem (n>30) is given by:
![\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})](https://tex.z-dn.net/?f=%20%5Cbar%20X%20%5Csim%20N%28%5Cmu%20%2C%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%29)
And for this case we want to find the following probability:
![P(\bar X< 18.45)](https://tex.z-dn.net/?f=%20P%28%5Cbar%20X%3C%2018.45%29)
And for this case we can use the z score formula given by:
![z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=%20z%20%3D%5Cfrac%7B%5Cbar%20X%20-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
And replacing we got:
![z =\frac{18.45-19}{\frac{7}{\sqrt{106}}}= -0.809](https://tex.z-dn.net/?f=%20z%20%3D%5Cfrac%7B18.45-19%7D%7B%5Cfrac%7B7%7D%7B%5Csqrt%7B106%7D%7D%7D%3D%20-0.809)
And if we use the normal standard distribution or excel we got:
![P(z](https://tex.z-dn.net/?f=%20P%28z%3C-0.809%29%20%3D%200.209)