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3 years ago

Fundamental Counting Principle (L2)

Mathematics

2 answers:

galina1969 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

2^4

sukhopar [10]3 years ago

5 0

16 possible outcomes

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A potato chip company produces a large number of potato chip bags each day and wants to investigate whether a new packaging mach

alexandr1967 [171]

Answer:

The conditions for the approximation have been met

Step-by-step explanation:

Random samples on both cases and

p∧o proportion of bags packaged on the old machine that are damaged

p∧n sample proportion of bags packaged on the new machine that are damaged

p∧c = ( p∧o + p∧n ) / (nO + nN )

p∧o = 15 % p∧o = 0,15 nO = 150

p∧o * nO = 0,15 *150 p∧o * nO = 22,5

p∧n = 8 % p∧n = 0,08 nN = 200

p∧n*nN = 0,08 * 200 p∧n*nN = 16

Both p∧n*nN and p∧o * nO are bigger than 5

Therefore both samples are big enough for the approximation of the binomial distribution to normal distribution

4 0

3 years ago

Please help me with this! Picture is provided and only answer is you know it!

Sophie [7]

Answer:

Option A

Step-by-step explanation:

Number of components assembled by the new employee per day,

N(t) = $\frac{50t}{t+4}$

Number of components assembled by the experienced employee per day,

E(t) = $\frac{70t}{t+3}$

Difference in number of components assembled per day by experienced ane new employee

D(t)= E(t) - N(t)

D(t) = $\frac{70t}{t+3}-\frac{50t}{t+4}$

= $\frac{70t(t+4)-50t(t+3)}{(t+3)(t+4)}$

= $\frac{70t^2+280t-50t^2-150t}{(t+3)(t+4)}$

= $\frac{20t^2+130t}{(t+3)(t+4)}$

= $\frac{10t(2t+13)}{(t+4)(t+3)}$

Therefore, Option A will be the answer.

3 0

3 years ago

In the diagram shown, line m is parallel to line n . Justine says that ∠3 ∠ 3 and ∠7 ∠ 7 are supplementary angles. Is she correc

agasfer [191]

The correct answer is C.

Because by looking at the diagram you can see that angles 7 and 8 are intersected

6 0

3 years ago

the triglyceride levels of residents of an assisted living facility are recordered the levels are normally distributed with a me

Svet_ta [14]

Answer:

Step-by-step explanation:

P(200<X<275)

P(200-200/50 <X< 275-200/50)

P(0/50 <X< 75/50)

P(0<X<1.5)

P(X<1.5) -P(X>0)

0.9332-0.5 = 0.4332

4 0

4 years ago

Read 2 more answers

1 find the area in square cm of a square whose side is

lara [203]

For question 1:

Part i)

2.6 x 2.6 = 6.76 cm squared

No unit conversions needed

Part ii)

1.2 dm = 1.2 / 1000000 = 0.0000012 cm

0.0000012 x 0.0000012 = 0.00000000000144 cm squared

Question 2:

16.5dm = 16.5/ 1000 = 0.0165 m

0.0165 x 0.0165 = 0.00027225 m squared

I hope this has helped

3 0

3 years ago

Read 2 more answers