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SCORPION-xisa [38]
3 years ago
14

Suppose a brand of light bulbs is normally​ distributed, with a mean life of 1300 hr and a standard deviation of 50 hr. Find the

probability that a light bulb of that brand lasts between 1225 hr and 1365 hr.
Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0

Answer:

Step-by-step explanation:

Since the life of the brand of light bulbs is normally​ distributed, we would apply the the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = life of the brand of lightbulbs

u = mean life

s = standard deviation

From the information given,

u = 1300 hrs

s = 50 hrs

We want to find the probability that a light bulb of that brand lasts between 1225 hr and 1365 hr. It is expressed as

P(1225 ≤ x ≤ 1365)

For x = 1225,

z = (1225 - 1300)/50 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is

0.06681

For x = 1365,

z = (1365 - 1300)/50 = 1.3

Looking at the normal distribution table, the probability corresponding to the z score is

0.9032

Therefore

P(1225 ≤ x ≤ 1365) = 0.9032 - 0.06681 = 0.8364

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lakkis [162]

Answer:

7×10^(-2)×8×10^5 = 56000

convert to scientific notation = 5.6 × 10^4

(scientific notation)

= 5.6e4

(scientific e notation)

= 56 × 10^3

(engineering notation)

(thousand; prefix kilo- (k))

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Step-by-step explanation:

6 0
2 years ago
PLEASE HELP ASAP!!!
Dafna1 [17]

Answer:

Step-by-step explanation:

Any time you have compounding more than once a year (which is annually), unless we are talking about compounding continuously, you will use the formula

A(t)=P(1+\frac{r}{n})^{(n)(t)}

Here's what we have:

The amount after a certain time that she has in the bank is 4672.12; that's A(t).

The interest rate in decimal form is .18; that's r.

The number of times the interest compounds is 12; that's n

and the time that the money is invested is 3.5 years; that's t.

Filling all that into the formula:

4672.12=P(1+\frac{.18}{12})^{(12)(3.5)} Simplifying it down a bit:

4672.12=P(1.015)^{42} Raise 1.015 to the 42nd power to get

4672.12 = P(1.868847115) and divide to get P alone:

P = 2500.00

She invested $2500.00 initially.

6 0
3 years ago
Help me solve this please it’s for my homework due tonight!!
natulia [17]

Answer:

h = 8

Step-by-step explanation:

Area of rectangle: base * height

So, by substituting the values given, we can write this equation:

Note: 1/4 = 0.25, so 3 1/4 = 3.25

A = b * h

26 = 3.25 * h

Divide both sides by 3.25.

h = 8

I hope this helps! Feel free to ask any questions!

3 0
2 years ago
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4 0
3 years ago
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Solve for y in -8×+4y=24
s344n2d4d5 [400]

Factor out the common term 4

-4(2x - y) = 24

Divide both sides by -4

2x-y= - 24/4

Simplify24/4 to 6

2x -y = -6

Subtract 2x from both sides

-y = -6 - 2x

Multiply both sides by -1

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5 0
3 years ago
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