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katrin [286]
3 years ago
10

Which of the following is a polynomial with roots negative square root of 5, square root of 5, and 3?

Mathematics
1 answer:
kykrilka [37]3 years ago
6 0
The polynomial with those roots would be: 

<span>y = (x + √5)(x - √5)(x - 3) </span>
<span>▬▬▬▬▬▬▬▬▬▬▬ multiply this out to get </span>
<span>y = (x² - 5)(x - 3) </span>

<span>y = x³ - 3x² - 5x +15</span>
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In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A
vredina [299]

Answer:

c) P(270≤x≤280)=0.572

d) P(x=280)=0.091

Step-by-step explanation:

The population of bearings have a proportion p=0.90 of satisfactory thickness.

The shipments will be treated as random samples, of size n=500, taken out of the population of bearings.

As the sample size is big, we will model the amount of satisfactory bearings per shipment as a normally distributed variable (if the sample was small, a binomial distirbution would be more precise and appropiate).

The mean of this distribution will be:

\mu_s=np=500*0.90=450

The standard deviation will be:

\sigma_s=\sqrt{np(1-p)}=\sqrt{500*0.90*0.10}=\sqrt{45}=6.7

We can calculate the probability that a shipment is acceptable (at least 440 bearings meet the specification) calculating the z-score for X=440 and then the probability of this z-score:

z=(x-\mu_s)/\sigma_s=(440-450)/6.7=-10/6.7=-1.49\\\\P(z>-1.49)=0.932

Now, we have to create a new sampling distribution for the shipments. The size is n=300 and p=0.932.

The mean of this sampling distribution is:

\mu=np=300*0.932=279.6

The standard deviation will be:

\sigma=\sqrt{np(1-p)}=\sqrt{300*0.932*0.068}=\sqrt{19}=4.36

c) The probability that between 270 and 280 out of 300 shipments are acceptable can be calculated with the z-score and using the continuity factor, as this is modeled as a continuos variable:

P(270\leq x\leq280)=P(269.5

d) The probability that 280 out of 300 shipments are acceptable can be calculated using again the continuity factor correction:

P(X=280)=P(279.5

8 0
3 years ago
Can someone please help
allsm [11]

Answer:

Concurrent as my perception

3 0
3 years ago
Mr. Nguyen opened a savings account with an initial deposit of $480 and will not make any additional deposits or withdrawals. Th
Alex787 [66]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
Whoever gets this correct gets a brainliest .
Alisiya [41]

Answer:

3052.1 cm^3

Step-by-step explanation:

hope u get this right :)

3 0
3 years ago
Please help me on this one kinda stuck on this Thank you
Goshia [24]
1) 100 * 40 = 4000 (cm²) the area of rectangle
2) 40 * 30 * 1/2 = 600 (cm²) the area of triangle
3) 4000 + 600 = 4600 (cm²)

Answer: 4600 cm²
6 0
3 years ago
Read 2 more answers
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