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Marta_Voda [28]
1 year ago
8

The average lifetime of a set of tires is 3.4 years. The manufacturer will replace any set of tires failing within three years o

f the date of purchase. The lifetime of these tires is known to follow an exponential distribution. What is the probability that the tires will fail within three years of the date of purchase?
Mathematics
1 answer:
ICE Princess25 [194]1 year ago
7 0

Answer: the probability that the tires will fail within three years of the date of purchase is 0.12

Step-by-step explanation:

The average lifetime of a set of tires is 3.4 years. It means that μ = 3.4

Decay parameter, m = 1/3.4 = 0.294

The probability density function is

f(x) = me^-mx

Where x is a continuous random variable representing the time interval of interest(the reliability period that we are testing)

Since x = 3 years,

Therefore, the probability that the tires will fail within three years of the date of purchase is

f(3) = 0.294e^-(0.294 × 3)

f(3) = 0.294e^- 0.882

f(3) = 0.12

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3 0
1 year ago
you are buying a new printer and a new scanner for your computer and you cannot spend over $150. The printer you want costs $80.
ira [324]

It is given in the question that

You are buying a new printer and a new scanner for your computer and you cannot spend over $150. The printer you want costs $80.

Let the price of scanner be $ x .

So we have

x+ 80\leq   150

Subtracting 80 from both sides

x\leq  70

It means , the price should be not more then $70 .

Therefore in case, the price of scanner is $75, then you will not remain within your budget .

6 0
1 year ago
He normal pulse rate of a 13-year-old is between 70 and 100 beats per minute. As part of a health program, the medical staff at
SVEN [57.7K]
From the box plot, it can be seen that for grade 7 students,
The least value is 72 and the highest value is 91. The lower and the upper quartiles are 78 and 88 respectively while the median is 84.

Thus, interquatile range of <span>the resting pulse rate of grade 7 students is upper quatile - lower quartle = 88 - 78 = 10

</span>Similarly, from the box plot, it can be seen that for grade 8 students,
The least value is 76 and the highest value is 97. The lower and the upper quartiles are 85 and 94 respectively while the median is 89.

Thus, interquatile range of the resting pulse rate of grade 8 students is upper quatile - lower quartle = 94 - 85 = 9

The difference of the medians <span>of the resting pulse rate of grade 7 students and grade 8 students is 89 - 84 = 5

Therefore, t</span><span>he difference of the medians is about half of the interquartile range of either data set.</span>
6 0
1 year ago
Read 2 more answers
The ratio of boys to girls in a certain classroom was 2 : 3. If boys represented five more than one third of the class, how many
Tju [1.3M]
Let the no. Of boys=x and that of girls=y.
The total no. Of students = x+y .
As given by statement the no. Of boys=x={(x+y)/3} + 5
This implies that
X=(x+y+15)/3
Also we know that x/y = 2/3 therefore
From this equation we get x=2y/3 and y=3x/2
By method of substitution we get
X=(x+3x/2+15)/3
•x=(15x+90)/2
•2x=15x+90
•-13x=90
X= -90/13
Now. Y= 3x/2=-270/26
Therefore total
no. Of students= -270/26+(-90/13)
•no. Of students= -450/26
According to me this is an imaginary question i mean how can their be a negative person
6 0
2 years ago
Cindy found a collection of baseball cards in her attic worth $8,000. the collection is estimated to increase in value by 1.5% p
Sergio [31]
A]
Exponential function is given by the form:
y=a(b)ˣ
where:
a=initial value
b=growth factor
From the question:
a=$8000, b=1.015, 
thus the exponential growth function of this situation is:
y=8000(1.015)ˣ

b] The value of the collection after 7 years will be:
x=7 years
Using the formula:
y=8000(1.015)ˣ
plugging the values we get:
y=8000(1.015)⁷
y=8,878.76

Answer: $8,878.76
7 0
2 years ago
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