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3 years ago

Find the consecutive integers even integers whose sum is 264

1 answer:

5 0

Name the first even integer you are looking for $x$ . The next even number is $x+2$ .

Their sum is $264$ , so $x+x+2=264$ . That means $2x=262$ , hence $x=131$ .

So, the desired numbers are $131$ and $133$ .

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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

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4 0

2 years ago

a typical marathon is 26.2 miles Aleexis averages 12 km per 1 hour when running in marathons. Use dimensional Analysis to determ

yanalaym [24]

3 hours and 51 minutes

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3 years ago

His conduct at the state dinner was a cavalcade

Ne4ueva [31]

(C) "gaffe"

A gaffe is a mistake. The text would read "His conduct at the state dinner was a cavalcade of blunders, one gaffe following another until the evening ended" if this phrase were added. The comma signifies that the word that is missing is equivalent to the word error.

A social misstep can be described using either the words "blunder" or "gaffe." The answer is not (A). A "query" is an enquiry or question. (B) is the wrong answer. Gibe is slang for a mocking comment.

The answer is not (D). Tryst is often used to describe an amorous encounter. The answer is not (E). An expression of appreciation, respect, or admiration is referred to as a "tribute.".

Here's another question with an answer similar to this about passage analysis: brainly.com/question/3521530

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8 0

1 year ago

What is the equation in slope-intercept form of a line that is perpendicular to y=13x+2 and passes through the point (3, 1)? Ent

geniusboy [140]

Answer:

y = -1/13x + 1 3/13

Step-by-step explanation:

y = 13x + 2

Perpendicular

y = -1/13x + b

Finding b:

1 = -1/13 * 3 + b

1 = -3/13 + b

1 3/13 = b

y = -1/13x + 1 3/13

Please let me know if I'm wrong :)

8 0

3 years ago

Read 2 more answers

What is 2 5/12 -(-2 1/6) Express the answer in simplest form.

VladimirAG [237]

Answer:
= 29/12 − -13/6

<span>= ((29 × 6) − (-13 × 12)) / (12 × 6) </span>

= (174 - -156) / 72

= 330/72

= 55/12

<span>= 4 7/12</span>

3 0

3 years ago