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earnstyle [38]
3 years ago
8

For each problem, find the missing value using the Pythagorean Theorem

Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0

Answer:

b = √2

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

<em>a</em> = Leg₁

<em>b</em> = Leg₂

<em>c</em> = Hypotenuse

Step 1: Plug in variables

3² + b² = (√11)²

Step 2: Solve

9 + b² = 11

b² = 2

b = √2

And we have our answer!

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5#The distribution of scores on a standardized aptitude test is approximately normal with a mean of 480 and a standard deviation
kirza4 [7]

We want to find the value that makes

P(X\ge x)=0.2

To find it we must look at the standard normal table, using the complementary cumulative table we find that

P(Z\ge z)=0.20045\Leftrightarrow z=0.84

Then, using the z-score we can find the minimum score needed, remember that

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

Where

σ = standard deviation

μ = mean

And in our example, x = minimum score needed, therefore

\begin{gathered} 0.84=\frac{x-480}{105} \\  \\ x=0.84\cdot105+480 \\  \\ x=568.2 \end{gathered}

Rounding to the nearest integer the minimum score needed is 568, if you get 568 you are at the top 20.1%.

7 0
1 year ago
Which algebraic expression is a difference with two terms?
shepuryov [24]

Answer:

1.

C. 5y -7 is an algebraic expression difference with two terms.

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2 years ago
Write an equation to match the statement “10 is 2 times as many 5” show the work pleaseeeeeee
krek1111 [17]
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they're all the same thig but i'd probably go with 5×2=10 :)
3 0
3 years ago
How do you write 0.4 in simplest form
Sergeeva-Olga [200]
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4 0
3 years ago
Read 2 more answers
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Roman55 [17]

Answer:

the second one

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