Answer:
180° - 110° = 70°. 70° represents the other two angles, so it needs to be divided in 2 to get the answer of 35°.
Step-by-step explanation:
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To obtain the probability of obtaining heads at least 3 times out of 5 times we recall that in her simulation <span>she
assigned odd digits to represent heads and even digits to represent
tails. Thus, we count the simulated numbers to see in how many numbers
do we have 3 or more odd digits.
Below, the simulated numbers with 3 or more odd digits are bolded.
</span> <span>32766 53855 34591 27732
47406 31022 25144 72662
03087 35521 26658 81704
56212 72345 44019 <span>65311
</span>
We have 6 simulated numbers having 3 or more odd digits.
Therefore, </span><span>P("heads" at least 3 out of 5 times) = 6 / 16 = 3 / 8.</span>
<h2>
At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.</h2>
Step-by-step explanation:
We have equation for volume of a sphere
where r is the radius
Differentiating with respect to time,
Given that
Radius, r = 24 cm
Substituting
At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.
Answer:
5. k=−3
6. x=4
7. n=−108
Step-by-step explanation:
5. -14k+29=71
Subtract 29 from both sides
-14k+29-29=71-29
Simplify
-14k=42
Divide both sides by -11
-14k/-14=42/-14
6. -33=19-13x
Subtract 29 from both sides
-14k+29-29=71-29
Simplify
-14k=42
Divide both sides by -14
-14k/-14=42/-14
Simplify
k=-3
7. 8+n/25=-4
Multiply both sides by 25
25(8+n)/25 = 25 (-4)
Simplify
8+n=-100
Subtract 8 from both sides
8+n-8=-100-8
Simplify
n=-108
The answer to this is c
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