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Goshia [24]
3 years ago
12

Can someone help me with this

Mathematics
1 answer:
o-na [289]3 years ago
3 0

Answer:

the third option is the correct

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The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 100 mm?
Advocard [28]

Answer:

Volume increasing rate = 62831.85 mm^3/s

Explanation:

We rate of change of radius of sphere, \frac{dr}{dt} =2mm/s

Diameter of sphere = 100 mm

Radius of sphere = 50 mm

Volume of sphere, V = \frac{4}{3} \pi r^3

Rate of change of volume = \frac{dV}{dt}

\frac{dV}{dt}=\frac{d}{dt} (\frac{4}{3} \pi r^3)=\frac{4}{3} \pi\frac{d}{dt}(r^3)=\frac{4}{3} \pi*3r^2*\frac{dr}{dt}

Substituting known values

     \frac{dV}{dt}= \frac{4}{3}* \pi*3*50^2*2=62831.85 mm^3/s

Volume increasing rate = 62831.85 mm^3/s

8 0
3 years ago
Alex wants to test the reliability of “lie detector tests,” or polygraph tests. He performs a polygraph test on a random sample
VladimirAG [237]

The correct statement is test is reliable and authentic as the probability of no false positives is more than 0.5

Given that

H_o:P= 0.50\\\\H_1:P>0.50

Now following calculations to be done to reach out the conclusion

There is no false positive as

= 100 - 5.5

= 94.5%

\hat P =0.945, n = 12

Now

z = \frac{\hat P - P}{\sqrt\frac{P(1-P)}{n} }\\\\=\frac{0.945-0.5}{\sqrt\frac{0.5\times0.5}{12} }  \\\\= 3.08

So

P value = P(z >3.08) = 0.0010

Therefore we can conclude that test is reliable and authentic as the probability of no false positives is more than 0.5

Learn more about the polygraph test here:

brainly.com/question/3790493

4 0
3 years ago
I need help solving this problem
tigry1 [53]
5*10=50
50*12 3/8= 618.75
4 0
3 years ago
Read 2 more answers
Titus and Timmy have 100 baseball cards between them. Titus has 10 more than twice
ella [17]

Answer:

45

Step-by-step explanation:

45 x 2 = 90

90 + 10 = 100

5 0
2 years ago
Read 2 more answers
Under a dilation, triangle A(2,2), B(2,0), C(4,0) becomes A'(8,8), B'(8,0), C'(16,0).
PIT_PIT [208]

Answer:

we are going to times the sides by four

3 0
2 years ago
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