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Lelechka [254]
3 years ago
8

There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha

t are normally distributed with mean 3 cm and standard deviation 0.08 cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. Acceptable corks have diameters between 2.9 cm and 3.1 cm.
1. What is the probability that the first machine produces an acceptable cork?
2. What is the probability that the second machine produces an acceptable cork?
3. Which machine is more likely to produce an acceptable cork?
Mathematics
1 answer:
nata0808 [166]3 years ago
6 0

Answer:

Step-by-step explanation:

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Pre-calc/ trig
Delvig [45]

Answer:

0.1691

Step-by-step explanation:

arcsin( \frac{3}{9} ) = 0.3398 \\  \sin( \frac{0.3398}{2} ) = 0.1691

3 0
2 years ago
Use trig ratios to find the measure of the angle in this triangle. A .cos^-1(4/5) B. tan(4/5) tan^-1(4/5) C. sin(4/5) D. cos(4/5
ololo11 [35]

Answer:

The answer is A

Step-by-step explanation:

Step 1: Use Cosine to find ∅

Cos∅=\frac{4}{5}

∅=Cos^{-1}(\frac{4}{5})

Therefore the answer is A

8 0
3 years ago
You sell apple cider for a fundraiser. For each gallon of cider you sell, the company that makes the cider receives $x$ dollars,
pav-90 [236]

Answer: You receive 14x+45 dollars for each gallon of cider that you sell.

Step-by-step explanation:

Given: For selling each gallon of cider, the company receives x dollars.

You receive = Remaining amount

i.e. You receive  $(Selling price - x)

By selling 15 gallons in 15x+45 dollars, you have received (15x+45)-x dollars

i.e. You received 15x+45-x dollars

i.e. You received 14x+45 dollars.

Hence,  you receive 14x+45 dollars for each gallon of cider that you sell.

7 0
3 years ago
16. A necklace of former First Lady Jacqueline Kennedy Onassis was originally worth $700. Its
marusya05 [52]

Answer:

30,114.3%

Step-by-step explanation:

Use the percent increase formula:

((new value - initial value) / initial value) x 100

Plug in the values:

((211,500 - 700) / 700) x 100

(210,800 / 700) x 100

= 30,114.29

So, the percent increase is 30,114.3%

6 0
3 years ago
Read 2 more answers
How do you write 56% as a fraction in simplest form?
Alecsey [184]
56% can be represented with 56/100. That fraction can be reduced (or simplified) to 14/25.
3 0
3 years ago
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