Answer:
Step-by-step explanation:
≥ - 2
x - 4 ≥ - 6
x ≥ - 2
<em>x ∈ [ - 2 , ∞ )</em>
2 - 6x < 32
- 6x < 30
x > - 5
<em>x ∈ ( - 5 , ∞ )</em>
I believe the answer is 0.008
because
0.2 × 0.2 × 0.2 is equivalent to 0.008
Answer:
The probability will be "0.0111".
Step-by-step explanation:
The given values are:
Mean,
= 79
Standard deviation,
= 3.5
Now,
⇒ 


⇒ 
So,
= ![1 - P{\frac{(\bar x - \mu \bar x )}{ \sigma \bar x} < \frac{(81 - 79) }{0.875} ]](https://tex.z-dn.net/?f=1%20-%20P%7B%5Cfrac%7B%28%5Cbar%20x%20-%20%5Cmu%20%5Cbar%20x%20%29%7D%7B%20%5Csigma%20%5Cbar%20x%7D%20%20%3C%20%5Cfrac%7B%2881%20-%2079%29%20%7D%7B0.875%7D%20%5D)
= 
= 
Yes this is a correct statement.
Answer:
54 minutes
Step-by-step explanation:
The sum of fractions is ...
2/5 + 3/20 + 1/3 = 11/20 +1/3 = (3·11 + 20·1)/(20·3) = 53/60
Then the 42 minutes devoted to English represents 1 - 53/60 = 7/60 of her study time.
Kaya's social studies time is 3/20 = 9/60 of her total, so the ratio of SS to Eng is ...
SS : Eng = (9/60) : (7/60) = 9 : 7
When we multiply the numbers in this ratio by 6, we find ...
SS : Eng = 54 : 42
Kaya spent 54 minutes studying social studies.