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Aleks [24]
3 years ago
6

A pair of vertical angles have measures (2z+43) and (-10z+25). What is the value of z? A. -3/2 B. -11/4 C. -14 D. -31

Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0
Z=-3/2

so the answer is A
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Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 p
posledela

Answer:

<em>P=0.0000037</em>

<em>P=0.00037%</em>

Step-by-step explanation:

<u>Probability</u>

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

\displaystyle \frac{4}{52}=\frac{1}{13}

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

\displaystyle \frac{3}{51}=\frac{1}{17}

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

\displaystyle \frac{2}{50}=\frac{1}{25}

Finally, the probability of getting the remaining ace out of the 49 cards is:

\displaystyle \frac{1}{49}

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}

\displaystyle P= \frac{1}{270,725}

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3 0
3 years ago
The graphs below have the same shape. what is the equation of the red graph?
Naily [24]

Answer:

Option D. G(x)=x^{3}-1

Step-by-step explanation:

we have

F(x)=x^{3} -----> the parent function

The vertex of the function F(x) is the origin (0,0)

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so

The rule of the translation is equal to

(x,y)------> (x,y-1)

That means ------> The translation is 1 unit down

Applying the rule of the translation to F(x)

F(x)-------> G(x)

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7 0
3 years ago
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Answer:

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Step-by-step explanation:

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where h is the height and a, b the parallel bases

Here h = 9, a = 13 and b = 17 , thus

A = \frac{1}{2} × 9 × (13 + 17)

   = 0.5 × 9 × 30

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3 0
3 years ago
Florence has a health insurance policy with a $1,500 deductable and 4% co-pay on the next $10,000. What would most likely increa
Elis [28]
The answer is D I believe fixed copays
4 0
3 years ago
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Tell whether the value is a solution of the inequality X=36; 3x&lt;100
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Answer:

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Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
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