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4 years ago

11

Halla la diferencia de 2 numeros si su MCD es 48 y su suma es 288

1 answer:

Murrr4er [49]4 years ago

7 0

SUM: x + y = 288

DIFFERENCE: + <u>x - y = 48 </u>

2x = 336

x = 168

SUM: x + y = 288 → (168) + y = 288 → y = 120

Answer: 120, 168

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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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2 years ago

What is the volume of aa circle with the radius of 1?

patriot [66]

Answer:

3.14159 (pi)

Step-by-step explanation:

1^1=1*3.14=3.14

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3 years ago

Write the slope-intercept form of the equation of the line.<br>

Vilka [71]

Answer:

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Step-by-step explanation:

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4 years ago

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Most companies calculate the finance charge on credit card accounts as a percentage of the

mezya [45]

do you have the options

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3 years ago

The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?

Snezhnost [94]

Answer:

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

$x + y = 9.9$

$x^{2} + y^{2} = 53.21$

First, $x$ is cleared in the first equation:

$x = 9.9 - y$

Now, the variable is substituted in the second one:

$(9.9-y)^{2} + y^{2} = 53.21$

And some algebra is done in order to simplify the expression:

$98.01-19.8\cdot y +2\cdot y^{2} = 53.21$

$2\cdot y^{2} -19.8\cdot y +44.8 = 0$

Roots are found by means of the General Equation for Second-Order Polynomials:

$y_{1} \approx \frac{32}{5}$ and $y_{2} \approx \frac{7}{2}$

There are two different values for $x$ :

$y = y_{1}$

$x_{1} = 9.9-6.4$

$x_{1} = 3.5$

$y = y_{2}$

$x_{2} = 9.9 - 3.5$

$x_{2} = 6.4$

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

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3 years ago