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3 years ago

Find the unit rate: 297 words in 5.5 minutes

Mathematics

1 answer:

MArishka [77]3 years ago

7 0

Answer:

54 words per minute

Step-by-step explanation:

the ratio of 297:5.5 is equivalent to 54:1

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In this triangle, the product of sin B and tan C is<br> and the product of sin Cand tan B is

Ipatiy [6.2K]

Answer:

$\frac{c}{a}$ and $\frac{b}{a}$

Step-by-step explanation:

sinB = $\frac{opposite}{hypotenuse}$ = $\frac{AC}{BC}$ = $\frac{b}{a}$

tanC = $\frac{opposite}{adjacent}$ = $\frac{AB}{AC}$ = $\frac{c}{b}$

Thus

sinB tanC = $\frac{b}{a}$ × $\frac{c}{b}$ ( cancel b on numerator/ denominator )

= $\frac{c}{a}$

---------------------------------------------------------------------------

sinC = $\frac{opposite}{hypotenuse}$ = $\frac{AB}{BC}$ = $\frac{c}{a}$

tanB = $\frac{opposite}{adjacent}$ = $\frac{AC}{AB}$ = $\frac{b}{c}$

Thus

sinC tanB = $\frac{c}{a}$ × $\frac{b}{c}$ ( cancel c on numerator/ denominator )

= $\frac{b}{a}$

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2 years ago

Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)?

jolli1 [7]

Answer: D. Point

A point is a location. On the 2D coordinate plane, it's described by (x,y). Think of it like an address or like latitude/longitude. A point is an undefined term in geometry as it doesn't build off of smaller elements.

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2 years ago

Read 2 more answers

Let X be the number of Heads in 10 fair coin tosses. (a) Find the conditional PMF of X, given that the first two tosses both lan

inn [45]

Answer:

Follows are the solution to the given point:

Step-by-step explanation:

For option A:

In the first point let z be the number of heads which is available on the first two trails of tosses so, the equation is:

$P(X=k | z=2 ) = \begin{pmatrix} 10-2\\ k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k}$

$= \begin{pmatrix} 8\\k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k} \ \ \ \ \ \ \ \ \ \ \\\\$

$k= 2,3..........10$ For option B:

$P(X=k | X \geq 2 ) = \sum^{10}_{i=2} \begin{pmatrix} 10-i\\ k-i\end{pmatrix} (\frac{1}{2})^{k-i} (\frac{1}{2})^{10-k}$

$k= 2,3, 4.........10$

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3 years ago

During his hike milt drank 1 liter of water and 1 liter of sports drink how many milliliters of liquid did he drink

a_sh-v [17]

In total, he drank 2 liters.

In millimeters, this is:
2,000 milliliters.

1 liter = 1,000 milliliters
2 liters = 1,000×2
= 2,000 millimetres

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3 years ago

What is .13 repeating as a fraction?

Irina18 [472]

13/99 is the fraction.

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3 years ago