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3 years ago

The polygons below are similar. Find the value of x.

Mathematics

1 answer:

noname [10]3 years ago

3 0

Th answer is 16. Since sides BC and FG are the only ones given, you write it as 6/8 = 12/x. Cross multiply to get 6x and 96. Divide 96 by 6 to get 16

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A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Co

kumpel [21]

Answer:

a) 68.2%

b) 31.8%

c) 2.3%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 530

Standard Deviation, σ = 119

We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P(test scores is between 411 and 649)

$P(411 \leq x \leq 649)\\\\= P(\displaystyle\frac{411 - 530}{119} \leq z \leq \displaystyle\frac{649-530}{119})\\\\= P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%$

b) P(scores is less than 411 or greater than 649)

$P(x < 411 < x, x > 649)\\=1 = P(411 \leq x \leq 649)\\=1 - 0.682\\=0.318 = 31.8\%$

c) P(score greater than 768)

P(x > 768)

$P( x > 768) = P( z > \displaystyle\frac{768 - 530}{119}) = P(z > 2)$

$= 1 - P(z \leq 2)$

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

$P(x > 768) = 1 -0.977 = 0.023 = 2.3\%$

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3 years ago

Find the circumference

notsponge [240]

Answer:

$31.42 \: cm$

Step-by-step explanation:

$C=\pi d$

$C=2\pi r$

$C=2\pi \times 5$

$C=10\pi$

$C=31.41592...$

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3 years ago

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Interest earned after 15 days on $8000, at 8.5%

belka [17]

Answer:

I=10,200

Step-by-step explanation:

I=PRT

P=8000

R=8.5

T=15 days

I=8000*0.085*15

I=10,200

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3 years ago

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A number that uses place value and a decimal point to show part of a whole

lukranit [14]

732.4 because just put in a decimal before a # and then do place value to a whole #.

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3 years ago

You have two cubes that you fill with water to make ice cubes. the first cube has a side length of 3 units. the second cube has

nexus9112 [7]

Please explain more briefly

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3 years ago