Answer:
The length of metal band around the given clock is 50. 24 cm.
Step-by-step explanation:
Here, the diameter of given clock = 16 cm
Now, Diameter = 2 x Radius
So, Radius = D/2 = 16 cm/2 = 8 cm
⇒The radius of the clock = 8 cm
Now, The metal Band around it = The CIRCUMFERENCE of the watch
Circumference of the clock = 2 π r
= 2 x ( 3.14) x ( 8) = 50.24 cm
or, C = 50.24 cm
Hence, the length of metal band around the given clock is 50. 24 cm.
So the since the length of the longer side is 45inches we know that the longer table is 5 times as larger than the small desktop. And we know 6 x 5 = 30.
So 45x30= 1,350 so the answer is 1,350 square inches! :)
Answer:
7.3% of the bearings produced will not be acceptable
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Target value of .500 in. A bearing is acceptable if its diameter is within .004 in. of this target value.
So bearing larger than 0.504 in or smaller than 0.496 in are not acceptable.
Larger than 0.504
1 subtracted by the pvalue of Z when X = 0.504.



has a pvalue of 0.9938
1 - 0.9938= 0.0062
Smaller than 0.496
pvalue of Z when X = -1.5



has a pvalue of 0.0668
0.0668 + 0.0062 = 0.073
7.3% of the bearings produced will not be acceptable
We can identify that the missing reason in the proof is: Definition of Congruent angles.
<h3>How to give proof of a congruent triangle?</h3>
We know that an angle measure of 90° of ∠ABC in the triangle means that it is a right angle triangle.
We also see that ∠ADB is also a right angle and is equal to 90°.
Now, since they have exactly the same measure, these angles are congruent. Then we can say that the angles are congruent and as such:
∠ABC ≅ ∠ABD
Thus, we can identify that the missing reason is: Definition of Congruent angles.
Read more about Triangle proof at; brainly.com/question/1248322
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Answer:
The answer would be A. 1 1/5
Step-by-step explanation:
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!