Answer:
a. Point S
b. Line segment PT and Line segment ST
c. PSQRU
d. Lines PR and SQ
e. Plane C and Plane QRS
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
The face closest to us has 4 by 4 unit cubes which is 16 cubes.
There are 2 faces deep in the cubiod so the total is 32 unit cubes.
Answer:
Step-by-step explanation:
![x^{2} \sqrt{x} \sqrt[n]{x} \frac{x}{y} x_{123} \beta \beta \alpha \neq \geq \\ \left \{ {{y=2} \atop {x=2}} \right.](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%5Csqrt%7Bx%7D%20%5Csqrt%5Bn%5D%7Bx%7D%20%5Cfrac%7Bx%7D%7By%7D%20x_%7B123%7D%20%5Cbeta%20%5Cbeta%20%5Calpha%20%5Cneq%20%5Cgeq%20%5C%5C%20%5Cleft%20%5C%7B%20%7B%7By%3D2%7D%20%5Catop%20%7Bx%3D2%7D%7D%20%5Cright.)
Answer: (14.4, 17.2)
Step-by-step explanation: We are to construct a 98% confidence interval for mean household usage of electricity.
We have been given that
Sample size (n) = 872
Sample mean (x) = 15.8
Population standard deviation (σ) = 1.8
The formulae that defines the 98% confidence interval for mean is given below as
u = x + Zα/2 × σ/√n...... For the upper limit
u = x - Zα/2 × σ/√n...... For the lower limit
Zα/2 = critical value for a 2% level of significance in a two tailed test = 2.33
By substituting the parameters we have that
For upper tailed
u = 15.8 + 2.33 × (1.8/√872)
u = 15.8 + 2.33 (0.6096)
u = 15.8 + 1.4203
u = 17.2
For lower tailed
u = 15.8 - 2.33 × (1.8/√872)
u = 15.8 - 2.33 (0.6096)
u = 15.8 - 1.4203
u = 14.4
Hence the 98% confidence interval for population mean usage of electricity is (14.4kwh, 17.2kwh)
Answer:
x=136 degrees
Step-by-step explanation:
A quadrilateral inscribed in a circle has opposite angles that add up to 180 degrees. So x + 44 deg = 180 deg. We can solve this to get x = 136 deg.
I hope this solution was helpful. Happy mathing!
