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olya-2409 [2.1K]
3 years ago
10

In which choice do all three points lie on the

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0

Answer:

D (1, 2), (2, 4), (4,8)

Step-by-step explanation:

Points lying on the same line:

If three points lie on the same line, the change in y has to be always the same when x changes by 1.

А. (0, 1), (-1, 3), (1, 3)

(-1,3) to (0,1): x changes by 1, y by -2

(0,1) to (1,3): x changes by 1, y by 2

So these points are not on the same line.

B. (4, 2), (2, 1), (4, -2)

Two values for y when x = 4, so not on the same straight line.

C (0, 0), (8, 0), (0, 8)

Two values for y when x = 0, so not on the same straight line.

D (1, 2), (2, 4), (4,8)

Here, when x changed by 1(from 1 to 2), y changed by 2.

When x changed by 2(from 2 to 4), y changed by 2*2 = 4.

So these points are on a straight line, and D is the correct answer.

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The distribution of head circumference for full term newborn female infants is approximately normal with a mean of 33.8 cm and a
enyata [817]

Using the normal distribution, it is found that 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 33.8, \sigma = 1.2

The proportion of full term newborn female infants with a head circumference between 31 cm and 36 cm is the <u>p-value of Z when X = 36 subtracted by the p-value of Z when X = 31</u>, hence:

X = 36:

Z = \frac{X - \mu}{\sigma}

Z = \frac{36 - 33.8}{1.2}

Z = 1.83

Z = 1.83 has a p-value of 0.9664.

X = 31:

Z = \frac{X - \mu}{\sigma}

Z = \frac{31 - 33.8}{1.2}

Z = -2.33

Z = -2.33 has a p-value of 0.0099.

0.9664 - 0.0099 = 0.9565.

0.9565 = 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

More can be learned about the normal distribution at brainly.com/question/24537145

#SPJ1

4 0
2 years ago
Please show an explanation
Ber [7]

Answer:

You should go to algebraic calculator. its amazing

Step-by-step explanation:

brainliest?

4 0
3 years ago
Jose owes his brother $50. He promises to pay his brother back $5 each week until his debt is paid off. Represent the relationsh
Maru [420]

Answer:

it will take 10 weeks for him to pay his brother completly

Step-by-step explanation:

3 0
3 years ago
How to solve the problem 3.2d-4d=2.3d+3
Liula [17]
3.2d - 4d = 2.3d + 3...simplify by combining like terms
-0.8d = 2.3d + 3....subtract 2.3d from both sides
-0.8d - 2.3d = 3 ...simplify again
-3.1d = 3...divide both sides by -3.1
d = 3/ -3.1
d = - 0.97

or
3.2d - 4d = 2.3d + 3....multiply the equation by 10, gets rid of the decimals
32d - 40d = 23d + 30....subtract 23d from both sides
32d - 40d - 23d = 30....simplify
-31d = 30...divide by -31
d = -30/31
d = - 0.97
5 0
3 years ago
A small factory planned to produce a batch of men’s shirts in 8 days. But producing 10 more shirts per day than planned, they fi
a_sh-v [17]

In unit of batches over days, let r be the planned rate and R be the actual increased rate. The difference between R and r is described as 10 shirts per day.

R-r=10

                        Rate                  Time                  Batches

Planned              r                          8                           1

Actual                 R                         7                            1


\left[\begin{array}{c}r=1/8&R=1/7&R-r=HowManyBatchesInTenShirts\end{array}\right]

1/7-1/8, the number of batches equivalent to 10 shirts.

(1/56)*Batches=10*Shirts

OneBatch=560*Shirts

Hope This Helps!!!

4 0
3 years ago
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