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creativ13 [48]
3 years ago
10

A car is designed to last an average of 12 years with a standard deviation of 0.8 years. What is the probability that a car will

last less than 10 years? (2 points)
0.621%
6.21%
93.79%
99.379%
Mathematics
2 answers:
Scorpion4ik [409]3 years ago
5 0
Due to the common probability formula I can solve that task. Refering to the task you gave, we have all the information we need. We solve it like that: \frac{10-12}{0.8} = -2.5; Probability(-2.5)=.0.00621; Probability = 0.621%
So the answer is the first option <span>0.621%</span>
Alecsey [184]3 years ago
3 0

Standard Deviation = A = 0.8

Mean = 12 years

We will use normal distribution to calculate probability.

Let a Random variable  Z , has A = 0.8, and M= 12 years.

Probability that a car will be able to last < 10 years= P(Z<10)

= P[\frac{Z-M}{A}

Pr (Z < -5/2) = 0.00621[ By using standard table]

= 0.00621 ×100

=0.621%→ Option A .

 

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You want a savings account to grow to $5000 in 10 years. If interest is 3.5% compounded continuously, how much should you invest
vazorg [7]

Answer:

$3523.44

Step-by-step explanation:

5000 = X × e^(3.5/100)(10)

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6 0
3 years ago
fire work a travels at the speed 300 ft/s firework b travels 240 ft/s. firework b is launched 0.25s before firework a. how many
storchak [24]

Answer:

Both fireworks  will explode after 1 seconds after firework b launches.

Step-by-step explanation:

Given:

Speed of fire work A= 300 ft/s

Speed of Firework B=240 ft/s

Time before which fire work b is launched =0.25s

To Find:

How many seconds after firework b launches will both fireworks explode=?

Solution:

Let t be the time(seconds) after which both the fireworks explode.

By the time the firework a has been launched, Firework B has been launch 0.25 s, So we can treat them as two separate equation

Firework A= 330(t)

Firework B=240(t)+240(0.25)

Since we need to know the same time after which they explode, we can equate both the equations

330(t) = 240(t)+240(0.25)

300(t)= 240(t)+60

300(t)-240(t)= 60

60(t)=60

t=\frac{60}{60}

t=1

7 0
3 years ago
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Q 11 is 221 cm3

Step-by-step explanation:

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volume is length times width times height for Q 11

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