Answer:
∠GHE = 55°
Step-by-step explanation:
ABCD is a quadrilateral (4 sided figure). We know that the sum of the interior angles (4 angles) of a quadrilateral in 360°.
Thus, A + B + C + D = 360
<em>we know b = c = 90 and a = 125, thus we can find D.</em>
<em>125 + 90 + 90 + D = 360</em>
305 + D = 360
D = 360 - 305 = 55°
<u>Note:</u> since Quadrilateral ABCD is congruent to Quadrilateral EFGH, then the measure of D is equal to measure of H (Angle GHE). Thus
∠GHE = 55°
2nd answer choice is correct
Answer:
B. $257.33
Step-by-step explanation:
Interest will be charged on the New Balance after the Month 7 payment, $257.33.
Answer:
Option A is the correct answer
Step-by-step explanation:
A. The difference of twice the cube of a number and 11
Answer:
a) 0.50575,
b) 0.042
Step-by-step explanation:
Example 1.5. A person goes shopping 3 times. The probability of buying a good product for the first time is 0.7.
If the first time you can buy good products, the next time you can buy good products is 0.85; (I interpret this as, if you buy a good product, then the next time you buy a good product is 0.85).
And if the last time I bought a bad product, the next time I bought a good one is 0.6. Calculate the probability that:
a) All three times the person bought good goods.
P(Good on 1st shopping event AND Good on 2nd shopping event AND Good on 3rd shopping event) =
P(Good on 1st shopping event) *P(Good on 2nd shopping event | Good on 1st shopping event) * P(Good on 3rd shopping event | 1st and 2nd shopping events yield Good) =
(0.7)(0.85)(0.85) =
0.50575
b) Only the second time that person buys a bad product.
P(Good on 1st shopping event AND Bad on 2nd shopping event AND Good on 3rd shopping event) =
P(Good on 1st shopping event) *P(Bad on 2nd shopping event | Good on 1st shopping event) * P(Good on 3rd shopping event | 1st is Good and 2nd is Bad shopping events) =
(0.7)(1-0.85)(1-0.6) =
(0.7)(0.15)(0.4) =
0.042
