Answer:
-20a - 65 = -104 for a = 2.7
-6x + 52 = 45 for x = 1 1/6
Step-by-step explanation:
-20a - 50 for a = 2.7
Insert 2.7 in for a.
-20(2.7) - 50 = -54 - 50 = -104
-6x + 52 for x = 1 1/6
Insert 1 1/6 for x.
-6(1 1/6) + 52 = -7 + 52 = 45
Answer:
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Step-by-step explanation:
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Answer:
0.0016283
Step-by-step explanation:
Given that:
Proportion of defective bulbs, p = 30% = 0.3
Sample size, n = 19 bulbs
Probability that the lot will pass inspection :
P(none of the 19 is defective) Or P(only one of the 19 is defective)
P(none of the 19 is defective) = (1 - p) ^n = (1 - 0.3)^19 ; 0.7^19
0.7^19 = 0.0011398
P(only one of the 19 is defective) :
P(1 defective) * P(18 not defective )
(0.3) * (1 - 0.3)^18
0.3 * 0.7^18
0.3 * 0.001628413597910449 = 0.0004885
Hence,
P(none of the 19 is defective) + P(only one of the 19 is defective)
0.0011398 + 0.0004885) = 0.0016283
Answer:
The most straightforward way to obtain the expression for cos(2x) is by using the "cosine of the sum" formula: cos(x + y) = cosx*cosy - sinx*siny. cos(2x) = cos² (x) - (1 - cos²(x)) = 2cos²(x) - 1. = 2cos²(x) - 1.
Step-by-step explanation:
I would say C: "I don't like it when you do that." because this clearly conveys the teacher's dislike with the student's behavior without berating them. A: "Stop being bad!" may have the opposite effect on a child and they may continue doing it just to irk the teacher further. B: "Now look what you've done!" may give the child a sense of accomplishment at making the teacher angry. <span>D: "Sometimes you're terrible." berates the child and insults them rudely. They may continue doing bad things just to infuriate the teacher as a result of that mean comment.</span>
