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umka2103 [35]
3 years ago
14

Lara planted some seeds. For every 3 seeds Lara planted, only 2 seeds grew.

Mathematics
1 answer:
Tresset [83]3 years ago
3 0

Given:

For every 3 seeds Lara planted, only 2 seeds grew.

Altogether, 12 seeds grew.

To find:

The number of total seeds planted by Lara.

Solution:

It is given that for every 3 seeds Lara planted, only 2 seeds grew. It means the ratio of total seeds planted to seeds grew is 3:2.

Altogether, 12 seeds grew.

Let x be the number of total seeds planted by Lara. Then,

x:12=3:2

\dfrac{x}{12}=\dfrac{3}{2}

x=\dfrac{3}{2}\times 12

x=18

Therefore, the total number of seeds planter by Lara is 18.

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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
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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.
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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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m = y2 - y1 / x2 - x1
m = 7 - 2 / 4 - 5
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17.
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m = 0 - 3 / 3 - 0
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Angle 2 is congruent to angle 1 because of the alternate exterior angle theorem.
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Angle 2 is congruent to angle 3 because of substitution.
Line l is parallel to line m because the corresponding angles are congruent.
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