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1 year ago

11

How are the coordinates of the extreme value and the equation from part B in the form y=(x - h)² - Crelated? extreme value is at

(1, -8)

1 answer:

tekilochka [14]1 year ago

4 0

The coordinates of the extreme value or the vertex of the parabola is the (h, -c) of the equation form y = (x - h)² - c.

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211,207,203,...<br> Find the 38th term.

dsp73

Answer:

63

Step-by-step explanation:

Using the formula attached, we can setup the equation:

$211 + (38 - 1) - 4$

Then using a calculator you can solve

8 0

2 years ago

When 23 is subtracted from the square root of three times a number, the result is 16. find the number?

gizmo_the_mogwai [7]

(√3n)-23=16

Put all of the numbers without a variable on the right side of the equation
(√3n)=39

Simplify
<span>1.732051n</span>=<span>39
</span>
Divide 39 by 1.732051
n=<span>22.516658

Round
n=22.5</span>

8 0

3 years ago

The median is the same as the ______________.

Ilia_Sergeevich [38]

Answer: Option A

The median is the same as the _ Second quartile_.

Step-by-step explanation:

Given a series of data ordered from least to greatest, the median is the value that is in the center.

That is, the median represents the value that divides 50% of the data.

In the same way, the first quartile $Q_1$ is the value that divides 25% of the data and the third quartile $Q_3$ is the value that divides 75% of the data.

The second quartile $Q_2$ is the number that divides 50% of the data.

Then notice that the second quartile is equal to the median

Then te answer is the option A.

7 0

3 years ago

Read 2 more answers

Math: <br><br> What is the y-intercept of the exponential function y= -6(2)^x +3?

ozzi

Answer:

-3

Step-by-step explanation:

If you were to graph that function, you would find it looks like the attached image. The y-intercept is -3.

6 0

3 years ago

Read 2 more answers

Choose 5 cards from a full deck of 52 cards with 13values (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A) and 4 kinds(spade, diamond, h

Delvig [45]

Answer:

a) 182 possible ways.

b) 5148 possible ways.

c) 1378 possible ways.

d) 2899 possible ways.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question, we have that:

There are 52 total cards, of which:

13 are spades.

13 are diamonds.

13 are hearts.

13 are clubs.

(a)Two-pairs: Two pairs plus another card of a different value, for example:

2 pairs of 2 from sets os 13.

1 other card, from a set of 26(whichever two cards were not chosen above). So

$T = 2C_{13,2} + C_{26,1} = 2*\frac{13!}{2!11!} + \frac{26!}{1!25!} = 182$

So 182 possible ways.

(b)Flush: five cards of the same suit but different values, for example:

4 combinations of 5 from a set of 13(can be all spades, all diamonds, and hearts or all clubs). So

$T = 4*C_{13,5} = 4*\frac{13!}{5!8!} = 5148$

So 5148 possible ways.

(c)Full house: A three of a kind and a pair, for example:

4 combinations of 3 from a set of 13(three of a kind ,c an be all possible kinds).

3 combinations of 2 from a set of 13(the pair, cant be the kind chosen for the trio, so 3 combinations). So

$T = 4*C_{13,3} + 3*C_{13.2} = 4*\frac{13!}{3!10!} + 3*\frac{13!}{2!11!} = 1378$

So 1378 possible ways.

(d)Four of a kind: Four cards of the same value, for example:

4 combinations of 4 from a set of 13(four of a kind, can be all spades, all diamonds, and hearts or all clubs).

1 from the remaining 39(do not involve the kind chosen above). So

$T = 4*C_{13,4} + C_{39,1} = 4*\frac{13!}{4!9!} + \frac{39!}{1!38!} = 2899$

So 2899 possible ways.

4 0

3 years ago