The axis of symmetry in a parabola is a line that's vertical that divides into 2 congruent halves.
Y= 2x + 1 is the equation hope this helps!
The area of the base is:
A = root ((s-a) * (s-b) * (s-c) * (s))
Where,
a, b, c: sides of the triangle
s = (a + b + c) / 2
We have then:
s = (9 + 9 + 9) / 2
s = 13.5
A = root ((13.5-9) * (13.5-9) * (13.5-9) * (13.5))
A = 35.07
Then, the surface area of the prism is:
S.A = 2 * A + 9h + 9h + 9h
Where,
h: height of the prism:
Substituting values:
421.2 = 2 * (35.07) + 9h + 9h + 9h
Clearing h:
27h = (421.2 - 2 * (35.07))
h = (421.2 - 2 * (35.07)) / (27)
h = 13
Answer:
the height of the box is:
h = 13 inches
Answer:
12.000
Step-by-step explanation:
40000x6= 240000/100= 2400x5
<h2>
Answer with explanation:</h2>
Given : Sample size ![n= 189](https://tex.z-dn.net/?f=n%3D%20189)
Sample mean : ![\overline{x}=7.58](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D7.58)
Sample standard deviation : ![s=1.93](https://tex.z-dn.net/?f=s%3D1.93)
Let
be the population mean of "like" ratings of male dates made by the female dates.
As per question ,
Null hypothesis : ![\mu\geq8.00](https://tex.z-dn.net/?f=%5Cmu%5Cgeq8.00)
Alternative hypothesis :
, It means the test is a one-tailed t-test. ( we use t-test when population standard deviation is unknown.)
Test statistic:
![t_{stat}=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\=\dfrac{7.58-8.00}{\dfrac{1.93}{\sqrt{189}}}=-2.99](https://tex.z-dn.net/?f=t_%7Bstat%7D%3D%5Cdfrac%7B%5Coverline%7Bx%7D-%5Cmu%7D%7B%5Cdfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B7.58-8.00%7D%7B%5Cdfrac%7B1.93%7D%7B%5Csqrt%7B189%7D%7D%7D%3D-2.99)
For 0.05 significance and df =188 (df=n-1) p-value = .001582. [By t-table]
Since .001582< 0.05
Decision: p-value < significance level , that means there is statistical significance, so we reject the null hypothesis.
Conclusion : We support the claim at 5% significance that t the population mean of such ratings is less than 8.00.