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4 years ago

8

Out of 200 bulbs in a box, 12 bulbs are defective. One bulb is taken out at random from the box. What is the probability that th

e drawn bulb is not defective?

1 answer:

Lunna [17]4 years ago

4 0

12 out of 200 is 6% so the chance of you getting a working bulb is 94%,

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ms.ling bought party hats for the 86 fourth graders at her school.the hats come in packages of 6 how many packages did Ms.ling b

Paul [167]

She bought 15 packages. You divide 86 by 6, but there is a remainder. pay no attention to it though, just add 1 to the answer.

5 0

4 years ago

an open rectangular cardboard box with a square base is to have a volume of 256cm^3. Find the dimensions of the box if the area

Anit [1.1K]

Let
x------> the length side of the square base of the box
y-------> the height of the box

we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1

<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>

surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x

step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm

the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm

5 0

3 years ago

The population of Brazil was 162,300,000 in 1995. It was growing at a rate of about 2% per decade. Predict the population, to th

stiv31 [10]

Answer:

The population is 168,900,000 to the nearest hundred thousand

Step-by-step explanation:

In this question, we are tasked with calculating the population of Brazil given its population in 1995 and her growth rate per decade.

Mathematically, we use an exponential function to calculate this population.

This can be written as P = I(1 + r)^n

where P is the population in 2015 which we are looking for,

I is the initial population which is 162,300,000

r is the rate of increase per decade given as 2% = 2/100 = 0.02,

n is the number of times between the years we are expecting this growth. The difference between the years 2015 and 1995 is 20 years which signifies 2 decades(1 decade is 10 years). Thus our n is 2

We plug these values into the equation above;

P = 162,300,000(1+0.02)^2

P = 162,300,000(1.02)^2

P = 168,856,920 which is 168,900,000 to the nearest hundred thousand

7 0

3 years ago

12. The function M(h) = 10e-0.173h can be used to find the number of milligrams M of morphine that is

vodomira [7]

Answer:

Part A; Initial dosage is 10 milligrams

Part B:

8.4113 milligrams after 1 hour

5.0057 milligrams after 4 hours.

Step-by-step explanation:

It is given M(h)= 10 $e^{-0.173h}$

Initial dosage is the 10 milligrams

After 1 hour, plug in h as 1

So, M(1)=10 $e^{-0.173*1}$

Simplify the right side

M(1)=10(0.84113)

M(1)= 8.4113 milligrams.

Now, after 4 hours

M(4)=10 $e^{-0.173*4}$

M(4)=10(0.50057)

M(4) =5.0057 milligrams

3 0

3 years ago

Graph the system of inequalities. Then use your graph to determine which points are solutions of the system.

stepan [7]

Answer:

A and E

Step-by-step explanation:

That's where they overlap

4 0

3 years ago