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3 years ago

How do I solve 3a=57

Mathematics

2 answers:

Kazeer [188]3 years ago

7 0

You have to do the reverse operation to 57 so you have to do 57÷3 which is 19

MatroZZZ [7]3 years ago

6 0

Divide 3 from both sides to get a=57/3 then a=19

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Under average driving conditions, the life lengths of automobile tires of a certain brand are found to follow an exponential dis

wariber [46]

Answer:

a) $P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368$

b) $P(X>30000|X>15000)=P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}, x>0$

And 0 for other case. Let X the random variable that represent "life lengths of automobile tires of a certain brand" and we know that the distribution is given by:

$X \sim Exp(\lambda=\frac{1}{30000})$

The cumulative distribution function is given by:

$F(X) = 1- e^{-\frac{x}{\mu}}$

Part a

We want to find this probability:

$P(X>30000)$ and for this case we can use the cumulative distribution function to find it like this:

$P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368$

Part b

For this case w want to find this probability

$P(X>30000|X>15000)$

We have an important property on the exponential distribution called "Memoryless" property and says this:

$P(X>a+t| X>t)=P(X>a)$

On this case if we use this property we have this: $P(X>30000|X>15000)=P(X>15000+15000|X>15000)=P(X>15000)$

We can use the definition of the density function and find this probability:

$P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607$

7 0

3 years ago

Look at the image provided below to answer the question, please.

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Answer:

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Step-by-step explanation:

have a good Day

5 0

2 years ago

Read 2 more answers

In countries that use the metric system of measurement, corn yields are sometimes expressed in quintals per hectare (q/ha) inste

Fittoniya [83]

Answer:

The answer is below

Step-by-step explanation:

Different countries have different metric system of measurement, but the metric system of measurement accepted all over the world is the international system of unit (SI unit)

1 quintal = 220.462 lbs and 1 bushel of corn = 56 lbs.

151 q/ha = (151 × 220.462) lbs/ha = 33289.762 lbs/ha

But 1 hectare = 2.471 acre, hence:

33289.762 lbs/ha = $\frac{33289.762\ lbs}{1\ ha*\frac{2.471\ acre}{1 \ ha} } =13472.182\ lbs/acre$

Since 1 bushel of corn = 56 lbs, hence:

$13472.182\ lbs/acre=\frac{13472.182\ lbs*\frac{1\ bushels}{56\ lbs} }{acre}=240.6\ bushels/acre$ = 240.6 bu/ac

For a Margin of Error: +/- 1 bu/ac, the bushels per acre = (239.6 bu/ac, 241.6 bu/ac)

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3 years ago

7 teachers share 1 liter of cappuccino. If you make 3 litters of cappuccino, how many teachers can drink cappuccino? If you need

snow_tiger [21]

Part A - If you make 3 liters of cappuccino for the teachers and want to find out many teachers drink from the liter, you need to find the unit rate which is 7 Teachers to 1 Cappuccino. So, that means it is 21 teachers can drink 3 liters.

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2 years ago

Which shapes can the composite figure be divided into to find the area?

GrogVix [38]

A rectangle and two triangles

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3 years ago