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shtirl [24]
3 years ago
8

What is the volume of a hemisphere with a radius of 8.5 ft, rounded to the nearest tenth of a cubic foot?

Mathematics
1 answer:
Elanso [62]3 years ago
3 0

Answer:

1,296.2 ft^3

Step-by-step explanation:

since a hemisphere is half a sphere

V = (4π/3 x r^3) / 2

V = (4π/3 x 8.5^3) / 2

V = 1,296.2 ft^3

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My Notes A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1600 hours and
Evgen [1.6K]

Answer:

The bulbs should be replaced each 1436.9 hours.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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:

\mu = 1600, \sigma = 70

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.

So it is X when Z = -2.33.

Z = \frac{X - \mu}{\sigma}

-2.33 = \frac{X - 1600}{70}

X - 1600 = -2.33*70

X = 1436.9

The bulbs should be replaced each 1436.9 hours.

6 0
3 years ago
Y=1/3x+4 going through the point (9,-2)
Art [367]
Substitute x=9 and y=-2 into equation,
Left hand side=-2
Right hand side=1/3(9)+4= 3+4=7

Because LHS doesn’t = with RHS, the point (9,-2) doesn’t satisfy with the equation

Therefore the point doesn’t go through y=1/3x +4.
5 0
2 years ago
C-7.6=-4 what is the value of c
9966 [12]
C - 7.6 = -4
c = -4 + 7.6
c = 3.6
4 0
2 years ago
Read 2 more answers
Half a bag of flower seeds can be used to cover an area of 150 square meters. How many square meters can be covered with 14 bags
ohaa [14]

Answer:

2100

Step-by-step explanation:

3 0
2 years ago
CON PROCESOS POR FAVOR
labwork [276]

Answer:

\dfrac{149}{40}

\dfrac{38}{15}

Step-by-step explanation:

(\dfrac{7}{8} + \dfrac{4}{5}) - (\dfrac{9}{20} + \dfrac{-5}{2}) =

= (\dfrac{7}{8} \times \dfrac{5}{5} + \dfrac{4}{5} \times \dfrac{8}{8}) - (\dfrac{9}{20} + \dfrac{-5}{2} \times \dfrac{10}{10})

= (\dfrac{35}{40} + \dfrac{32}{40}) - (\dfrac{9}{20} + \dfrac{-50}{20})

= \dfrac{67}{40} - (-\dfrac{41}{20})

= \dfrac{67}{40} + \dfrac{41}{20} \times \dfrac{2}{2}

= \dfrac{67}{40} + \dfrac{82}{40}

= \dfrac{149}{40}

(-\dfrac{6}{4} + \dfrac{3}{2}) + (\dfrac{6}{5} + \dfrac{4}{3}) =

= (-\dfrac{3}{2} + \dfrac{3}{2})+ (\dfrac{6}{5} \times \dfrac{3}{3} + \dfrac{4}{3} \times \dfrac{5}{5})

= 0 + \dfrac{18}{15} + \dfrac{20}{15}

= \dfrac{38}{15}

4 0
1 year ago
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