Answer:
<u>Statement </u> <u>Reason</u>
AC ≅ AR Given
∠1 ≅ ∠2 Given
∠A ≅ ∠A Vertical angles
ΔCAT ≅ ΔRAD ASA postulate
∠1 ≅ ∠2 corresponding parts of congruent triangles are congruent.
Step-by-step explanation:
For the third statement, I'm assuming from the picture that points C, A and D are collinear, and points T, A and R are also collinear.
Answer: 5.37
Step-by-step explanation:
Let x = ACT scores.
Given: ACT scores have a mean of 20.8 and 9 percent of the scores are above 28. The scores have a distribution that is approximately normal.
i.e. P(X>28)=0.09 (i)
Now,
![P(X>28)=P(\dfrac{X-\mu}{\sigma}>\dfrac{28-20.8}{\sigma})\\\\= P(z>\dfrac{7.2}{\sigma})\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]](https://tex.z-dn.net/?f=P%28X%3E28%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B28-20.8%7D%7B%5Csigma%7D%29%5C%5C%5C%5C%3D%20P%28z%3E%5Cdfrac%7B7.2%7D%7B%5Csigma%7D%29%5C%20%5C%20%5C%20%5C%20%5Bz%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D)
(ii)
One -tailed z value for p-value of 0.09 =1.3408 [By z-table]
From (i) and (ii)
Hence, the standard deviation = 5.37
Answer:
c, e, f, and i
Step-by-step explanation:
a. is bounded above at y = 1 and below at y = 0
b. is unbounded both above and below
c. is bounded below at y = 0 and unbounded above
d. is unbounded both above and below
e. is bounded below at y = 0 and unbounded above
f. is bounded below at y = 0 and unbounded above
g. is bounded below at y = 0 and bounded above at y = 1
h. is unbounded both above and below
i. is bounded below at y = 0 and unbounded above
j. is unbounded both above and below
Answer:
B.)536 
Step-by-step explanation:
Find the volume of all the fish tanks.
Green fish tank...
4 x 9 x 6 = 216
Brownish fish tank...
4 x 4 x 8 = 128
Orange Fish tank...
6 x 4 x 8 = 192
Since we are COMBINING the fish tanks, we add the volumes.
216 + 128 + 192 = 536
536
Hope this helped! Please mark as brainlies! Thanks!
387/100
p/q formula
The theorem states that each rational solution x = p⁄q, written in lowest terms so that p and q are relatively prime, satisfies: p is an integer factor of the constant term a0, and.
