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3 years ago

50% of 200: fifty percent of two-hundred is?

Mathematics

2 answers:

Serggg [28]3 years ago

4 0

Answer:

100

Step-by-step explanation:

kogti [31]3 years ago

4 0

Answer:

its 100

Step-by-step explanation:

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In 1 and 2, list multiples of each number to find the LCM of each pair of number.

Tanya [424]

Multiples of 2:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20,...

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, ...

Multiples of 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...

Multiples of 10:

10, 20, 30, 40, 50, 60, ...

6 0

3 years ago

A pen company averages 1.2 defective pens per carton produced (200 pens). The number of defects per carton is Poisson distribute

nlexa [21]

Answer:

a. P(x = 0 | λ = 1.2) = 0.301

b. P(x ≥ 8 | λ = 1.2) = 0.000

c. P(x > 5 | λ = 1.2) = 0.002

Step-by-step explanation:

If the number of defects per carton is Poisson distributed, with parameter 1.2 pens/carton, we can model the probability of k defects as:

$P(k)=\frac{\lambda^{k}e^{-\lambda}}{k!}= \frac{1.2^{k}\cdot e^{-1.2}}{k!}$

a. What is the probability of selecting a carton and finding no defective pens?

This happens for k=0, so the probability is:

$P(0)=\frac{1.2^{0}\cdot e^{-1.2}}{0!}=e^{-1.2}=0.301$

b. What is the probability of finding eight or more defective pens in a carton?

This can be calculated as one minus the probablity of having 7 or less defective pens.

$P(k\geq8)=1-P(k$

$P(0)=1.2^{0} \cdot e^{-1.2}/0!=1*0.3012/1=0.301\\\\P(1)=1.2^{1} \cdot e^{-1.2}/1!=1*0.3012/1=0.361\\\\P(2)=1.2^{2} \cdot e^{-1.2}/2!=1*0.3012/2=0.217\\\\P(3)=1.2^{3} \cdot e^{-1.2}/3!=2*0.3012/6=0.087\\\\P(4)=1.2^{4} \cdot e^{-1.2}/4!=2*0.3012/24=0.026\\\\P(5)=1.2^{5} \cdot e^{-1.2}/5!=2*0.3012/120=0.006\\\\P(6)=1.2^{6} \cdot e^{-1.2}/6!=3*0.3012/720=0.001\\\\P(7)=1.2^{7} \cdot e^{-1.2}/7!=4*0.3012/5040=0\\\\$

$P(k$

c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than five defective pens. What is the probability that a carton contains more than five defective pens?

We can calculate this as we did the previous question, but for k=5.

$P(k>5)=1-P(k\leq5)=1-\sum_{k=0}^5P(k)\\\\P(k>5)=1-(0.301+0.361+0.217+0.087+0.026+0.006)\\\\P(k>5)=1-0.998=0.002$

5 0

3 years ago

7. A square is altered so that one dimension is increased by 5 inches and the

Otrada [13]

Answer:

Step-by-step explanation:

5 0

3 years ago

What number is half of 25?

jeka94

The number half of 25 is 12.5.

4 0

3 years ago

Read 2 more answers

Please help me out ?!

Paraphin [41]

To find the surface area of this figure, we simply have to add up the individual areas of the shapes that make up the figure.

Surface area = 4(area of triangle) + area of square
Surface area = 4 ( 1/2 * base * height) + side^2
Surface area = 4( 1/2 * 6 * 7) + 6^2
Surface area = 4 (3 * 7) + 36
Surface area = 4(21) + 36
Surface area = 84 + 36
Surface area = 120 cm^2

Hope this helps!

4 0

3 years ago