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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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Help on this please
eimsori [14]

Answer:

Opening: Opens upwards

Axis of Symmetry: -7/2

Vertex: (-7/2, -81/4)

X - intercepts: (1, 0) and (-8, 0)

Y - intercept: (0, -8)

Step-by-step explanation:

Opening: 'a' is greater than zero

Axis of Symmetry:

\frac{-7}{2(1)} =\frac{-7}{2}

Vertex:

y= (\frac{-7}{2})^{2} +7(\frac{-7}{2}) -8\\y= (\frac{49}{4}) +(\frac{-49}{2}) -8\\y= \frac{49}{4} +\frac{-98}{4} -8\\y=\frac{-49}{4}-8\\y = \frac{-81}{4}

X - intercepts:

(x-1)(x+8)

x = 1 and x = -8

Y - intercept: (0, -8)

y= 0^{2} +7(0) -8\\\\y= -8\\

5 0
3 years ago
How to solve the problem
Ksenya-84 [330]

Answer:

x=5

Step-by-step explanation:

∠D=∠E (angles opposite to equal sides are equal)

So, x^{2}=3x+10

    10=x^{2}-3x

    10=x(x-3)

we know 5×2= 10 & 5-3=2,

So, 10=5×(5-3)

      10=5×2

∴x=5

3 0
3 years ago
मिनधन १.. 18,900 हुन्छ भन सावा रकम पता लगा
Vladimir [108]

Answer:

Solution given:

principal [P]=P

time [T]=4 years

Rate [R]=13%

compound amount=18900

Simple interest=P-18900

we have

simple interest=\frac{P*T*R}{100}

P-18900=\frac{P*4*13}{100}

100P-1890000=52P

48P=1890000

P=1890000/48

P=39375

the sum that amounts =Rs 39375

5 0
3 years ago
What are the x– and y–intercepts of the graph of y = 2x^2 – 8x – 10?
Nadya [2.5K]
<u>x-intercepts are found by setting y=0</u>
y=2x^2-8x-10\rightarrow0=2x^2-8x-10
<em>factor out a 2</em> 0=2(x^2-4x-5)\rightarrow0=x^2-4x-5
<em />0=(x-5)(x+1) <em>roots should be </em>x=-1,5
therefore, x-intercepts are (-1,0) and (5,0)
<u>
</u><u>y-intercepts are found by setting x=0</u>
y=2x^2-8x-10\rightarrow y=2(0)^2-8(0)-10
\rightarrow y=0-0-10=-10
therefore, y-intercept is (0,-10)
4 0
3 years ago
A rectangle with an area of 120 in 2 has a length 8 inches longer than two times its width. What is the width of the rectangle?
nlexa [21]

width = x

length = 2x+8

area = l x w

x<span>(2x+8)</span>=120

<span><span>2<span>x^2</span>+8x−120=0 </span> </span>

<span><span><span>x^2</span>+4−60=0 </span></span>

<span><span><span>(x+10)</span><span>(x−6)</span>=0</span> </span>

<span><span>x=−10 and x=6 </span></span>

<span><span> width has to be a positive number</span></span>

Width = <span>6 </span> inches.

5 0
3 years ago
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