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3 years ago

11

A pizza shop offers nine toppings. No topping is used more than once. What is the probability that the toppings on a tree toppin

g pizza are pepperoni, onions, and mushrooms?

1 answer:

umka2103 [35]3 years ago

3 0

1:84 probability that you would come out with that combination of topping

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Tom [10]

Answer: ok

Step-by-step explanation:

11) 75 percent. this is bc 32 - 8 is 24, and 24 of 32 as a percentage is 75 percent.

12) 25 percent, bc 15 percent of 60 is 25 percent

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3 years ago

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Find the? inverse, if it? exists, for the given matrix.<br><br> [4 3]<br><br> [3 6]

True [87]

Answer:

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Step-by-step explanation:

The inverse of a square matrix $A$ is $A^{-1}$ such that

$A A^{-1}=I$ where I is the identity matrix.

Consider, $A = \left[\begin{array}{ccc}4&3\\3&6\end{array}\right]$

$\mathrm{Matrix\:can\:only\:be\:inverted\:if\:it\:is\:non-singular,\:that\:is:}$

$\det \begin{pmatrix}4&3 \\3&6\end{pmatrix}\ne 0$

$\mathrm{Find\:2x2\:matrix\:inverse\:according\:to\:the\:formula}:\quad \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}$

$=\frac{1}{\det \begin{pmatrix}4&3\\ 3&6\end{pmatrix}}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$\mathrm{Find\:the\:matrix\:determinant\:according\:to\:formula}:\quad \det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc$

$4\cdot \:6-3\cdot \:3=15$

$=\frac{1}{15}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

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3 years ago

I don’t know the answer I just need some points to ask more questions !!! have a good day !!

Dahasolnce [82]

Answer:

what ??

Step-by-step explanation:

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3 years ago

1/2h=16 1/2 (8)<br><br> What is the answer it’s due tomorrow help!

pogonyaev

8 1/2 because 2x8=16

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3 years ago

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Lilit [14]

Answer:

9.2

Step-by-step explanation:

Use law of sines

a/sinA = b/sinB

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b=9.2

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3 years ago

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