Answer:
The graph in the attached figure
Step-by-step explanation:
we have
------>inequality A
The solution of the inequality A is the shaded area above the dashed line ![y=\frac{1}{4}x+6](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx%2B6)
The y-intercept of the dashed line is (0,6)
The x-intercept of the dashed line is (-24,0)
The slope of the dashed line is positive m=1/4
------>inequality B
The solution of the inequality B is the shaded area above the dashed line ![y=2x-1](https://tex.z-dn.net/?f=y%3D2x-1)
The y-intercept of the dashed line is (0,-1)
The x-intercept of the dashed line is (0.5,0)
The slope of the dashed line is positive m=2
The solution of the system of inequalities is the shaded area between the two dashed lines
using a graphing tool
see the attached figure
Complete Question
The complete question is shown on the first uploaded image
Answer:
The calcium level that is the borderline between low calcium levels and those not considered low is ![c = 8.68](https://tex.z-dn.net/?f=c%20%3D%208.68)
Step-by-step explanation:
From the question we are told that
The mean is ![\mu = 9.5\ mg/dL](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%209.5%5C%20%20mg%2FdL)
The standard deviation ![\sigma = 0.5 \ mg/dL](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%200.5%20%5C%20mg%2FdL)
The proportion of the population with low calcium level is
5% = 0.05
Let X be a X random calcium level
Now the P(X < c) = 0.05
Here P denotes probability
c is population with calcium level at the borderline
Since the calcium level is normally distributed the z-value is evaluated as
![P(Z < \frac{c - \mu}{\sigma } ) = 0.05](https://tex.z-dn.net/?f=P%28Z%20%3C%20%5Cfrac%7Bc%20-%20%5Cmu%7D%7B%5Csigma%20%7D%20%29%20%3D%200.05)
The critical value for 0.05 from the standard normal distribution table is
![t_{0.05} = -1.645](https://tex.z-dn.net/?f=t_%7B0.05%7D%20%3D%20-1.645)
=> ![\frac{c - \mu}{\sigma } = -1.645](https://tex.z-dn.net/?f=%5Cfrac%7Bc%20-%20%5Cmu%7D%7B%5Csigma%20%7D%20%20%3D%20%20-1.645)
substituting values
![\frac{c - 9.5}{0.5 } = -1.645](https://tex.z-dn.net/?f=%5Cfrac%7Bc%20-%209.5%7D%7B0.5%20%7D%20%20%3D%20%20-1.645)
=> ![c - 9.5 = -0.8225](https://tex.z-dn.net/?f=c%20-%209.5%20%3D%20%20-0.8225)
=> ![c = 8.68](https://tex.z-dn.net/?f=c%20%3D%208.68)
Answer:
3.3 cm
Step-by-step explanation:
From the above question, we can draw out a proportion
= Small pentagon = Large pentagon
= x/7 = 7/15
Cross Multiply
x × 15 = 7 × 7
15x = 49
x = 49/15
x = 3.2666666667 cm
Approximately= 3.3 cm
15 times 3 equals 45 hoped i helped