Find the distance between the points (3, 8) and (-1, 9). Round the distance to the nearest hundredth.

Mathematics

1 answer:

Fittoniya [83]3 years ago

4 0

ITS THE SQUARE ROOT OF 17

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Based on the tree diagram, what is the probability that the art project is in the middle?

andrey2020 [161]

The explanation in the attachment.

Q1.
$\begin{array}{cccccc}science&-&art&-&math\\\dfrac{1}{3}&\times&\dfrac{1}{2}&\times&\dfrac{1}{1}&=\dfrac{1}{6}\end{array}\\------------------\\\begin{array}{cccccc}math&-&art&-&science\\\dfrac{1}{3}&\times&\dfrac{1}{2}&\times&\dfrac{1}{1}&=\dfrac{1}{6}\end{array}\\\\\\P(A)=\dfrac{1}{6}+\dfrac{1}{6}=\boxed{\dfrac{2}{6}}$

Answer: two over six

Q2.
$\begin{array}{cccccc}blue&-&head\\\dfrac{1}{4}&\times&\dfrac{1}{2}&=\dfrac{1}{8}\end{array}$

Answer: one over eight

Q3.
Answer: 2 - Red and Pink

Q4.
Answer : Second table /attachment/.

Card Color Green Yellow Purple
Purple Green, Purple Yellow, Purple Purple, Purple
Green Green, Green Yellow, Green Purple, Green

I don't know what happened to LaTeX. The formula of Q1 and Q2 in attachment.

5 0

3 years ago

Read 2 more answers

Find the value of x , if log₂ [log₅ (log₃x)] = 0

Lina20 [59]

$\log_2 (\log_5( \log_3x)) = 0\\
D:x>0 \wedge \log_3x>0 \wedge \log_5(\log_3x)>0\\
D:x>0\wedge x>1 \wedge\log_3x>1\\
D:x>1 \wedge x>3\\
D:x>3\\
\log_5(\log_3x)=1\\
\log_3x=5\\
x=3^5\\
x=243$