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3 years ago

Which statements about quadrilateral WXYZ are true? Select three options.

Mathematics

1 answer:

Andrej [43]3 years ago

7 0

Answer:

The slope ZW is 2/5.

The length of ZY is 29.

Quadrilateral WXYZ is a square.

Step-by-step explanation:

I took the test.

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What is the sum of the geometric sequence -3, 18, -108, ... if there are 8 terms

creativ13 [48]

Answer:

Step-by-step explanation:

common ratio=18/-3=-108/18=-6, a=-3

sn=a(r^n-1)(r-1)

sn=-3((-6)^n-1)(-6-1)

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2 years ago

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If ∧ ASC ≅ ∧ KSC then ∠8 is congruent to which angle?

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Answer:

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Step-by-step explanation:

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2 years ago

Select all the numbers that Logan could multiply by 54,216 to get a product less than 54,216

Svetradugi [14.3K]

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2 years ago

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The level of nitrogen oxides (nox) in the exhaust after 50,000 miles or fewer of driving of cars of a particular model varies no

mina [271]

<span>Answer: 0.533</span>

Explanation: Note that

$x \ \textgreater \ I \\ \Leftrightarrow x - 0.3 \ \textgreater \ I - 0.3 \\ \\ \Leftrightarrow \boxed{\frac{x - 0.3}{0.1} \ \textgreater \ \frac{I - 0.3}{0.1}} (1)$

Let

$z_1$ = z-score for I.
$z_2$ = z-score for x.

The formula for z-score is given by

$\text{z-score} = \frac{(\text{data point}) - (\text{mean})}{(\text{standard deviation})}$

So,

$z_2 = \frac{x - 0.3}{0.1}$

$z_1 = \frac{I - 0.3}{0.1}$

Based on inequality in (1),

$z_2 > \ z_1$

So,

$P(x \ \textgreater \ I) = 0.01
\\
\\ \Leftrightarrow P \left (\frac{x - 0.3}{0.1} \ \textgreater \ \frac{I - 0.3}{0.1} \right ) = 0.01 
\\
\\ \Leftrightarrow P(z_2 \ \textgreater \ z_1) = 0.01
\\
\\ \Leftrightarrow 1 - P(z_2 \leq z_1) = 0.01
\\
\\ \Leftrightarrow \boxed{P(z_2 \leq z_1) = 0.99}$

Since $z_1$ and $z_2$ are z-scores and the level of nitrogen oxides are normally distributed, using normal distribution calculator (or table),

$z_1 = 2.326
\\
\\ \Leftrightarrow \frac{I - 0.3}{0.1} = 2.326
\\
\\ \Leftrightarrow I - 0.3 = 0.1(2.326)
\\
\\ \Leftrightarrow I - 0.03 = 0.2326
\\
\\ \Leftrightarrow \boxed{I \approx 0.533}$

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3 years ago