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tekilochka [14]
3 years ago
7

Marcos drove twice as far as Candice. Together, they drove 66 miles. Which equation can be used to find the number of miles Cand

ice drove?
Mathematics
1 answer:
galben [10]3 years ago
4 0
Candice drove 22 miles. 66 divided by 3 is 22. Which means Marcos drove 44 miles.
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A potato chip company produces a large number of potato chip bags each day and wants to investigate whether a new packaging mach
alexandr1967 [171]

Answer:

The conditions for the approximation have been met

Step-by-step explanation:

Random samples on both cases  and

p∧o proportion of bags packaged on the old machine that are damaged

p∧n sample proportion of bags packaged on the new machine that are damaged

p∧c  =  ( p∧o + p∧n ) / (nO + nN )  

p∧o = 15 %      p∧o =  0,15         nO = 150

p∧o *  nO = 0,15 *150          p∧o *  nO = 22,5

p∧n  = 8 %      p∧n  = 0,08     nN = 200

p∧n*nN  = 0,08 * 200     p∧n*nN  = 16

Both  p∧n*nN  and   p∧o *  nO    are bigger than 5

Therefore both samples are big enough for the approximation of the binomial distribution to normal distribution

4 0
3 years ago
Find the volume of the solid generated by revolving the region bounded by
Rama09 [41]

Answer:

V =\dfrac{25\pi}{\sqrt{2}}

Step-by-step explanation:

given,

y=5√sinx

Volume of the solid by revolving

V = \int_a^b(\pi y^2)dx

a and b are the limits of the integrals

now,

V = \int_a^b(\pi (5\sqrt{sinx})^2)dx

V =25\pi \int_{\pi/4}^{\pi/2}sinxdx

\int sin x = - cos x

V =25\pi [-cos x]_{\pi/4}^{\pi/2}

V =25\pi [-cos (\pi/2)+cos(\pi/4)]

V =25\pi [0+\dfrac{1}{\sqrt{2}}]

V =\dfrac{25\pi}{\sqrt{2}}

volume of the solid generated is equal to V =\dfrac{25\pi}{\sqrt{2}}

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3 years ago
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Step-by-step explanation        :

no

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6 0
3 years ago
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What is the solution to question number 33?
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If the width of the garden is w, then the maximum area available is a square, giving you w² as the dimensions. So:
w²=-w²+28w
2w²=28w
w=14
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