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3 years ago

Se tiene que elaborar un cartel de forma triangular, uno de los lados debe medir 30 cm y el otro

Mathematics

1 answer:

Marianna [84]3 years ago

7 0

La medida aproximada del lado faltante según el teorema de desigualdad de triángulos es:

más de 12 cm y menos de 48 cm

De acuerdo con el teorema de la desigualdad del triángulo que establece que;

La suma de la longitud de 2 lados cualesquiera de un triángulo debe ser mayor que el tercer lado.

Dado que :

a = 30 cm; b = 18 cm; c =?

Basado en el teorema de la desigualdad del triángulo;

c debe ser <(a + b)
c <(30 + 18); c <48 cm
También c> (a - b)
c> (30 - 18); c> 12 cm

Por lo tanto, el lado faltante debe ser menor que 48 y mayor que 12.

Más información: brainly.com/question/18345497?referrer=searchResults

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Answer:

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so hence forth

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3 years ago

Data for a particular subdivision near downtown Houston indicate that the average price per square foot for a home is $100 with

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Answer:

$P(X>110)=P(\frac{X-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{5})=P(z>2)$

And we can find this probability with the complement rule and we got:

$P(Z>2) = 1-P(Z$

And using the normal standard table or excel we got:

$P(Z>2) = 1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the prices of a population, and for this case we know the distribution for X is given by:

$X \sim N(100,5)$

Where $\mu=100$ and $\sigma=5$

We are interested on this probability

$P(X>110)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>110)=P(\frac{X-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{5})=P(z>2)$

And we can find this probability with the complement rule and we got:

$P(Z>2) = 1-P(Z$

And using the normal standard table or excel we got:

$P(Z>2) = 1-P(Z$

And we can find this probability on this way:

$P(-0.50$

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3 years ago

Use the scale factor 1:12 to find the missing dimension.

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3 years ago

Read 2 more answers

Carol has 4 cups of candy corn to decorate cookie. She wants to put 1 /12 of a cup of candy on each cookie. How many cookies can

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What we need to find is how many cookies we can make that have 1/12 cups of candy using 4 cups of candy corn.

What we know:
4 cups of candy
1/12 cup per cookie

We need to divide 4 cups of candy corn into groups of 1/12.

4/(1/12)
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So, we have 48 groups of 1/12 cups of candy corn that means we can make 48 cookies each containing 1/12 cup of candy corn.

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4 years ago

Quinn is mixing juices to make pund for a party. Select all the mixtures

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Answer:

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Step-by-step explanation:

We can easily obtain the answer by converting all the volumes to the same unit and comparing each of them, to see if they can make up to a gallon.

1). 6 pints apple juice and 6 cups cranberry juice

Let us convert pints and cups to gallons

1 pint = 0.125 gallons

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This can fit into the 1-gallon pitcher

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Total juice got here is 0.625+ 0.5 = 1.125 gallon

This cannot fit into the 1-gallon pitcher

4). 9 cups of apple juice and 3 pints of cranberry juice

9 cups = 0.5625 gallons.

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Total juice got here is 0.5625 + 0.375 = 0.9375 gallons.

This can fit into the 1-gallon pitcher because it is of less volume.

Hence, only these combination of drinks can fit into the 1-gallon pitcher:

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