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Leni [432]
3 years ago
15

Find the equation of a line that passes through the point

Mathematics
1 answer:
SashulF [63]3 years ago
3 0

Answer:

y=x+7

Step-by-step explanation:

y-7=1(x-0)

y-7=x-0

y=x+7

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A company purchases shipments of machine components and uses this acceptance 11) sampling plan: Randomly select and test 30 comp
Galina-37 [17]

Answer:

Probability that this whole shipment will be accepted is 0.7324.

Step-by-step explanation:

We are given that a company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 30 components and accept the whole batch if there are fewer than 3 defectives.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 30 components

            r = number of success = fewer than 3

           p = probability of success which in our question is % rate

                 of defects, i.e; 6%

<em>LET X = Number of defective components</em>

So, it means X ~ Binom(n=30, p=0.06)

Now, Probability that this whole shipment will be accepted only when there are fewer than 3 defectives = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= \binom{30}{0}\times 0.06^{0} \times (1-0.06)^{30-0}+ \binom{30}{1}\times 0.06^{1} \times (1-0.06)^{30-1}+ \binom{30}{2}\times 0.06^{2} \times (1-0.06)^{30-2}

= 1 \times 1 \times 0.94^{30}+ 30 \times 0.06^{1}  \times 0.94^{29}+ 435 \times 0.06^{2} \times 0.94^{28}

= 0.7324

Therefore, probability that this whole shipment will be accepted is 0.7324.

3 0
4 years ago
​Hank's pickup can travel 65 miles on 5 gallons of gas. How many gallons will​ Hank's pickup need to travel 39 ​miles?
grigory [225]

Answer: 3 Gallons

Step-by-step explanation:we divide 65 by 5 and it comes out to 13 so 13 is our miles per gallon and we divide it by 39 and end up with 3 gallons

7 0
3 years ago
What is the value of x?
svet-max [94.6K]

cosec60=2/square root of 3

3 0
3 years ago
A taxi travels for 30 minutes at a speed of 28 mph. Calculate how far it travles.
Pani-rosa [81]

Answer:

14 m

Step-by-step explanation:

Speed = 28 mph

Time = 30 minutes = 30/60 = 1/2 hour

Distance  = speed * time

               = 28 * \frac{1}{2}

                = 14 m

3 0
3 years ago
Read 2 more answers
What number between 0 and 20 has 5 factors
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12 has five factors and more 12,4,3,2,1,6
8 0
3 years ago
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