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BlackZzzverrR [31]

3 years ago

5

The lengths of two sides of a triangle are 11 cm and 8 cm. Which is a possible value for the third side of the triangle? A) 1 cm

B) 3 cm C) 5 cm D) 20 cm

1 answer:

crimeas [40]3 years ago

5 0

Answer:

All of these are correct.

Step-by-step explanation:

Any length will work for the third side, as long as it is not negative or zero, because a negative length in this case is impossible and if the length is zero then it is not a triangle but merely a line. The length does, however, affect the angles of the corners of the traingle.

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Viefleur [7K]

5n =70
5 x 14 = 70
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melisa1 [442]

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Step-by-step explanation:

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Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125

kicyunya [14]

Answer:

The probability is $P(14 < X < 20 ) = 0.5354$

Step-by-step explanation:

From the question we are told that

The proportion that live with their parents is $\r p = 0.142$

The sample size is n = 125

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

i.e

$X \ \~ \ B( \mu , \sigma )$

Now the mean is evaluated as

$\mu = n * \r p$

$\mu = 125 * 0.142$

$\mu = 17.75$

Generally the proportion that are not staying with parents is

$\r q = 1 - \r p$

= > $\r q = 0.858$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{n * \r p * \r q }$

$\sigma = \sqrt{ 125 * 0.142 * 0.858 }$

$\sigma = 3.90$

Given the n is large then we can use normal approximation to evaluate the probability as follows

$P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90}$

Now applying continuity correction

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )$

Generally

$\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )$

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )$

$P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )$

$P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)$

So for the z - table

$P( Z< 0.449 ) = 0.67328$

$P(Z < -1.0897) = 0.13792$

$P(14 < X < 20 ) = 0.67328 - 0.13792$

$P(14 < X < 20 ) = 0.5354$

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3 years ago

Which point is on the line of the equation y-4 = -1/2 (x - 2) ?

Gennadij [26K]

Answer:

4.0148 rounded to the nearest thousand is 0, but if you meant rounded to the nearest thousandth, it would be 4.015 because the 8 in the ten thousandth column would cause the 4 in the thousandth column to round up to 5.

Step-by-step explanation:

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3 years ago

A cylinder of clay has a diameter of 12 cm and a height of 12 cm. If this clay is made into congruent cones with a radius of 3 c

DanielleElmas [232]

Step-by-step explanation:

volume of the cyclinder=πr²h

=π×6²×12

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number of cones=432π/24π=18 cones

8 0

3 years ago