Answer:
The product of 8 and n decreased by 5 is less than 25
Step-by-step explanation:
An inequality is used to compare two values, showing that one value smaller than, larger than, or not equal to another value. x ≠ y means that x is not equal to y. x < y means that x is less than y and x > y means that x is greater than y.
The inequality 8n - 5 < 25 can be written in statement as the product of 8 and n decreased by 5 is less than 25.
The product of 8 and n (means 8n) decreased by 5 (means 8n - 5) is less than 25 (means 8n - 25 < 25)
The normal body temperature : to = 37° C
An inequality is:
| t - to | ≤ 3
| t - 37 | ≤ 3
t - 37 ≤ 3 AND ( - t - 37 ) ≤ 3
t ≤ 3 +
37
- t + 37 ≤ 3
t ≤
40
- t ≤ 3 - 37
- t ≤ - 34 / *( - 1 )
t ≥ 34
Answer t <span>∈ [</span><span>
34</span><span>°C,</span><span>
40</span><span>° C ]</span>.
Answer:
53.57%
Step-by-step explanation:
We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :
# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)
= 10 * 3 = 30
That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.
# of random groups of 5 = 8C5 = 8! / (5! * (8-5)!) = 56
That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:
P (3 girls and 2 boys) = 30/56 = 0.5357
Which means that the probability is 53.57%
Answer:
y = -8x - 1
Step-by-step explanation:
y = mx + b
7 = -8 (-1) + b Substitute in points for x and y. Substitute -8 for m (parallel)
7 = 8 + b
-1 = b
