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2 years ago

How many ordered pairs (x, y) of positive integers satisfy the inequality 4x + 5y < 20?

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

4 0

Answer:

Step-by-step explanation:

The ordered pairs that satisfy the inequality are shown in the attachment. There are 6 of them.

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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

1 year ago

Sians room is in the shape of a square. It’s area is 121 square feet . How long is one side of sian’s room ?

Sladkaya [172]

11. Square root of 121

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2 years ago

The expression for the distance traveled is rt where r represents rate and t represents time.

astraxan [27]

I don't really get what the "35,000 feet university sea level" part is saying, but without it, the answer would be:

3.5 x 550 = 1,925

The plane traveled 1,925 miles.

And with it, the answer would be:

3.5 x 550 = 1,925

35,000 ft = 6.6 mi

1,925 + 6.6 = 1,931.6

The plane traveled 1,931.6 miles.

Hope this helped a little at least.

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2 years ago

A bank charges a fee if your account balance falls below $50. Let b represent the account balance. Write an inequality to descri

Paraphin [41]

Answer:

b < 50. The solution has infinite solutions because any number smaller than 50 would work, and their are infinite numbers smaller than 50.

Step-by-step explanation:

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2 years ago

Marcus purchases 75 shares of stock. A year after purchasing the stocks, the value of the stock is $2 less per share. Write a mu

katrin [286]

75(x-2) where x represents the amount originally paid

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2 years ago