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3 years ago

What is the perimeter of ABCD? Perimeter=

Mathematics

2 answers:

swat323 years ago

8 0

The perimeter is 10 +10+9+9 so its 38

Misha Larkins [42]3 years ago

7 0

Answer:

Step-by-step explanation:

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Evaluate 21 - n for n = 3 *<br><br> please help me with this

qwelly [4]

Answer:

Step-by-step explanation:

21-n; n=3

Substitute n for 3:

21-3

Solve.

4 0

3 years ago

Read 2 more answers

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

4 years ago

Social Security tax that is 6.2% of his gross pay Medicare tax that is 1.45% of his gross pay state tax that is 19% of his feder

Olegator [25]

Answer:

option d

Step-by-step explanation:

6 0

2 years ago

Frederick tossed a number cube and then tossed a coin 100 times as part of an experiment. He recorded the number of times he tos

bekas [8.4K]

Hello!

You have to add how many trials he did

41 + 19 + 28 + 12 = 100

Now you look for the box that has 6 and tails

It has a 12 in it

You do 12/100

This can be reduced to 3/25

The answer is A

Hope this helps!

6 0

4 years ago

Read 2 more answers

It took Reza 2 hours to edit 6 math

Ostrovityanka [42]

Answer:

135

Step-by-step explanation:

My method 45 hours - 1 so i could divide by 2 because its 2 hours every 6 problems and 1 hour would be 3 math problems we can add that to the total

44 / 2 = 22, 22 * 6 = 132, 132 + 3 = 135

Alternate method

45 * 3 = 135