I can't figure out this inequality 5+ 5(x + 4) < 20. Any tips on how I can solve?
1 answer:
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Answer:
And we can find this probability with the normal standard distirbution or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the lenghts of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the normal standard distirbution or excel and we got:
The complete question in the attached figure
we know that
m angle bad =75°
remember that on parallelogram
(∠A + ∠<span>B) = 180°
[Since, sum of the interior angles on the same side of the transversal is 180°]
therefore
</span>∠B=180°-∠A=180°-75°=105°
∠B=105°
<span>Similarly
∠B + ∠C = 180°
∠C + ∠D = 180°
and ∠D + ∠A = 180°</span>
<span>Thus, the sum of any two adjacent angles of a parallelogram is 180°.
</span>
m angle bcd=∠C=180-∠B=180°-105°=75°
the answer is m angle bcd=75°
we know that
m angle bad =75°
remember that on parallelogram
(∠A + ∠<span>B) = 180°
[Since, sum of the interior angles on the same side of the transversal is 180°]
therefore
</span>∠B=180°-∠A=180°-75°=105°
∠B=105°
<span>Similarly
∠B + ∠C = 180°
∠C + ∠D = 180°
and ∠D + ∠A = 180°</span>
<span>Thus, the sum of any two adjacent angles of a parallelogram is 180°.
</span>
m angle bcd=∠C=180-∠B=180°-105°=75°
the answer is m angle bcd=75°