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3 years ago

Given the data set (4, 85), (7, 92), (14, 110), which of the following equations best represents a line of best fit?

2 answers:

nataly862011 [7]3 years ago

7 0

Let's see if there is a constant rate first...

(92-85)/(7-4)=7/3

(110-92)/(14-7)=18/7 so there is no constant rate...so the line of best fit (linear least squares regression line) will have a slope of:

m=(nΣxy-ΣxΣy)/(nΣx^2-ΣxΣx)

m=(3*2524-25*287)/(3*261-625)

m=397/158

b=(Σy-mΣx)/n

b=(158Σy-397Σx)/(3*158)

b=(45346-9925)/(3*158)

b=11807/158

So the line of best fit is:

y=(397x+11807)/158

so approximating this line....

y≈2.5x+74.73

So the closest that you have is:

y=7x/3+75.67

Readme [11.4K]3 years ago

5 0

Answer A should be the correct answer

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If a baseball player has 5 hits in 20 at bats, what is the probability in the decimal to the thousandths place that he will get

k0ka [10]

Answer:

$Probability = 0.250$

Step-by-step explanation:

Given

$Hits = 5$

$Bats = 20$

Required

Determine the probability of hit in next at-bat

This question illustrates theoretical probability and the required probability is calculated using:

$Probability = \frac{Events\ Occurrence}{Trials}$

In this case, we have:

$Probability = \frac{Hits}{Bats}$

$Probability = \frac{5}{20}$

$Probability = 0.250$

5 0

3 years ago

How would you write 1 17/20 as a percent

Over [174]

1 17/20

the 1 is ur whole number....it stays ur whole number
17/20 = 0.85

so we have 1.85.....to turn it into a percent, move the decimal 2 spaces to the right = 185%

5 0

2 years ago

ANSWER QUICKLY PLEASE!!

Yuki888 [10]

It is 30 degrees. Add 90 and 60 to get 180. Then subtract that from 180, since all triangles interior angles add to 180. You’ll get 30.

8 0

2 years ago

Read 2 more answers

I will give u brainlyist!! pls help

Karolina [17]

Answer:

i believe C

Step-by-step explanation:

5 0

3 years ago

This is due today, and I have no idea what I'm doing, please help if you know anything.

defon

Binomial distribution formula: P(x) = (n k) p^k * (1 - p)^n - k

a) Probability that four parts are defective = 0.01374

P(4 defective) = (25 4) (0.04)^4 * (0.96)^21

P(4 defective) = 0.01374

b) Probability that at least one part is defective = 0.6396

Find the probability that 0 parts are defective and subtract that probability from 1.

P(0 defective) = (25 0) (0.04)^0 * (0.96)^25

P(0 defective) = 0.3604

1 - 0.3604 = 0.6396

c) Probability that 25 parts are defective = approximately 0

P(25 defective) = (25 25) (0.04)^25 * (0.96)^0

P(25 defective) = approximately 0

d) Probability that at most 1 part is defective = 0.7358

Find the probability that 0 and 1 parts are defective and add them together.

P(0 defective) = 0.3604 (from above)

P(1 defective) = (25 1) (0.04)^1 * (0.96)^24

P(1 defective) = 0.3754

P(at most 1 defective) = 0.3604 + 0.3754 = 0.7358

e) Mean = 1 | Standard Deviation = 0.9798

mean = n * p

mean = 25 * 0.04 = 1

stdev = $\sqrt{np(1-p)}$

stdev = $\sqrt{(25)(0.04)(1-0.04)}$ = 0.9798

Hope this helps!! :)

7 0

3 years ago