Answer: 31/20
Step-by-step explanation:
4/5 + 3/4
taking lcm of 5 and 4 which is 20
4/5 + 3/4
(4*4 + 5*3) / 20
(16 + 15) /20
31/20
Okay so basically, you subtract 18 on both sides since the 18 doesn't work, making the equation
<span>x</span>²<span> - 10x = -18
So then you add (b/2)</span>²<span>, which is 25, to both sides, to get
</span><span>x</span>²<span> - 10x + 25 = 7
</span><span>After this, you factor.
</span><span>(x-5)(x-5) = 7
</span><span>Then you simplify.
(x-5)</span>²<span> = 7
Then you solve for x.
</span>√(<span>x-5)</span>²<span> = </span>√7
x-5 = (+ or -)√7
~ x= 5 (+ or -)√7 ~
Hope this helps!
Explanation:A is the right answer
Easy!!!
Using the normal distribution, it is found that the lengths for which a bolt will be destroyed are given by:
A. A bolt will be destroyed if the length is less than 11.8 cm or greater than 12.2 cm.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The bounds within 4 standard deviations of the mean are , hence:
X - 12 = -4 x 0.05
X = 11.8
X - 12 = 4 x 0.05
X = 12.2
Hence:
A. A bolt will be destroyed if the length is less than 11.8 cm or greater than 12.2 cm.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
240
Step-by-step explanation:
30%of what number is 72
of means multiply and is means equals
30% * W = 72
Change the percent to a decimal
.30 *W = 72
Divide each side by .30
.30W/.30 = 72/.30
W =240
The number is 240