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3 years ago

Find value of X in the isosceles triangle shown below

Mathematics

1 answer:

EleoNora [17]3 years ago

3 0

Answer:

Step-by-step explanation:

You have to use Pythagorean theorem.

a^2 + b^2 = c^2

x^2 + 3^2 = 5^2 (you know that b=3 because is the half of 6)

x^2 + 9 = 25

x^2 = 25 - 9

x^2 = 16

x = √16

x = 4

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Answer:

The distance to the party is the distance to Jerome's house divided by 3

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Step-by-step explanation:

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4 years ago

Southwest Co-op produces bags of fertilizer, and it is concerned about impurity content. It is believed that the weights of impu

Harman [31]

Answer:

a) 0.216

b) 0.1587

c) 0.369

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12.2 grams

Standard Deviation, σ = 2.8 grams

We are given that the distribution of weights of impurities per bag is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(contains less than 10 grams of impurities)

P(x < 10)

$P( x < 10) = P( z < \displaystyle\frac{10 - 12.2}{2.8}) = P(z < -0.7857)$

Calculation the value from standard normal z table, we have,

$P(x < 10) =0.216= 21.6\%$

b) P(contains more than 15 grams of impurities)

P(x > 15)

$P( x > 15) = P( z > \displaystyle\frac{15 - 12.2}{2.8}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 610) = 1 - 0.8413 = 0.1587 = 15.87\%$

c) P(contains between 12 and 15 grams of impurities)

$P(12 \leq x \leq 15) = P(\displaystyle\frac{12 - 12.2}{2.8} \leq z \leq \displaystyle\frac{15-12.2}{2.8}) \\\\= P(-0.0714 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -0.0714)\\= 0.841 - 0.472 = 0.369 = 36.9\%$

$P(12 \leq x \leq 15) = 36.9%$

d) The mean divide the data in exactly two parts. Since 15 is farther away from the mean as compared to 10, the probability obtained in part (b) is smaller as compared to probability obtained in part (a).

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4 years ago

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123 x 10 to the -6 power

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3 years ago

Read 2 more answers

Which of the following is not an identity?

Shkiper50 [21]

A ) cos² x · 1 / sin x - 1 / sin x = - sin x
cos² x - 1 / sin x = - sin x
- sin² x / sin x = - sin x
- sin x = - sin x ( correct )
B ) sin x ( cos x / sin x + sin x / cos x ) = 1 / cos x
sin x · ( cos² x + sin²x ) / sin x cos x = 1 / cos x
sin x · 1 / sin x cos x = 1 / cos x
1 / cos x = 1 / cos x ( correct )
C ) cos² x - sin² x = 1 - 2 sin² x
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D ) 1/sin²x + 1/ cos²x = 1
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1 / cos² x sin² x = 1
cos²x sin² x ≠ 1
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3 years ago

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PtichkaEL [24]

Answer:

Step-by-step explanation:

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3 years ago

Find value of X in the isosceles triangle shown below￼

Find value of X in the isosceles triangle shown below