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slega [8]
3 years ago
13

Write the given sentence as an equation.

Mathematics
1 answer:
Leni [432]3 years ago
8 0
D.)T+19=3(t - 7)
hope it helped
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Of all the weld failures in a certain assembly, 85% of them occur in the weld metal itself, and the remaining 15% occur in the b
Aloiza [94]

Answer:

a.) 0.1028

b.) 0.6477

c.) 0.0388

d.) 3

e.) 2.55

Step-by-step explanation:

Forming a binomial Probability distribution

n = 20

Probability of success for Weld metal failure = 85%

Probability of success for base metal failure = 15%

We use the probabilit distribution formula of combination to solve the problem.

P(x=r) = nCr * p^r * q^n-r

a.) if exactly 5 are base metal failures, then p = 15 and our solution becomes:

P(x=5) = 20C5 * 0.15^5 * 0.85^15

P(x=5) = 0.1028

b.) probability that fewer than 4 are base metal failure= P(x=0) + P(x=1) + P(x=2) + P(x=3)

P(x=0) = 20C0 * 0.15^0 * 0.85^20 = 0.0388

P(x=1) = 20C1 * 0.15¹ * 0.85^19 = 0.1368

P(x=2) = 20C2 * 0.15² * 0.85^18 = 0.2293

P(x=3) = 20C3 * 0.15³ * 0.85^17 = 0.2428

Probability that fewer than 4 are base metal failures becomes: 0.038 + 0.1368 + 0.2293 + 0.2428 = 0.6477

c.) probability that none of them are results of base metal failure = P(x=0). As earlier calculated,

P(x=0) = 0.0388

d.) mean of base metal failures = np = 20*0.15 = 3

e.) standard deviation of base metal failures = √np(1-p)

=3 * (1 - 0.15) = 3 * 0.85

= 2.55

4 0
3 years ago
Use the three steps to solve the problem.
Mazyrski [523]
Let's assume a the age of Joe
b the age of James
a=b+10 (1)
2*(a+8)=3(b+8) (2)

==> 2*(b+10+8)=3b+24
==>2b+36=3b+24
==>b=12
==>a=12+10=22
Joe is 22 years's old
James is 12 years's old.



5 0
3 years ago
There are blue, red and white counters in a bag in the ratio 16 3 2 There are 112 more blue counters than white counters. How ma
olga nikolaevna [1]

We will have 16 white counters in the bag.

Given that there are  blue, red, and white counters in a bag in the ratio 16:3:2, the total number of balls will be:

  • Total = 16 + 3 + 2
  • Total  = 21

If there are <em>112 more blue counters than white counters</em>, then;

number of blues = number of white + 112

16x = 2x + 112

14x = 112

x = 8

Number of white counters = 2x = 2(8) = 16

Therefore we will have 16 white counters in the bag.

Learn more on ratios here: brainly.com/question/2914376

5 0
2 years ago
If your data set does not include an outlier which measure of center, Mean or Median, is best to use to describe your data. Expl
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When there isn't an outlier, the mean is the best measure of central tendency, because it gives you a more arithmetic answer of the true center since all numbers are included in the equation rather than at max 2 numbers in the middle of the list.
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https://www.evensi.us/arizona-cardinals-green-bay-packers-tv-12218/280846604

5 0
3 years ago
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