m∠B = 33° is the answer.
<u>Step-by-step explanation:</u>
If two triangles ΔABC and ΔMOP are similar, then their corresponding angles are congruent.
In any triangle, sum of the measure of the angles add up to 180°.
∠A+ ∠B+ ∠C = 180°
∠A ≅ ∠M
∠B ≅ ∠O
∠C ≅ ∠P
So we can add as,
∠A + ∠B+ ∠P = 180°
45° + ∠B + 102° = 180°
∠B + 147° = 180°
∠B = 180° - 147° = 33°
Answer:
The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

And the 90% confidence interval would be given (0.131;0.169).
Step-by-step explanation:
We have the following info given:
represent the sampel size slected
number of students who read above the eighth grade level
The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

The confidence interval for the proportion would be given by this formula
For the 90% confidence interval the significance is
and
, with that value we can find the quantile required for the interval in the normal standard distribution and we got.
And replacing into the confidence interval formula we got:
And the 90% confidence interval would be given (0.131;0.169).
Answer:
Assciates Property
Step-by-step explanation:
look at the picture above
Answers are:
-15<span>°F
-78</span><span>°C
</span>23<span>°C
</span>199<span>°F</span><span>
</span>
5000 pounds is equal to 2.5 tons because 1 ton is equal to 2000 pounds