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3 years ago

I need help on 5-6 because I just don’t understand it

Mathematics

1 answer:

SashulF [63]3 years ago

6 0

Answer:

5. reduction 6.enlargement

Step-by-step explanation:

if the scale factor is greater than one (for example) 2 then it will enlarge, but if the scale factor is less than one, it is reduced.

An in #5, from A to B the rectangle goes from bigger (A) to smaller (B) so it must have a smaller scale factor in order to reduce ,and in #6 A is smaller and B is bigger which goes back to the concept of it must have a bigger scale factor in order for it to enlarge. But all in all you can see in #5 A. is the bigger rectangle so in order to become the rectangle in B. it must reduce.

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Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the

kodGreya [7K]

Answer:

p=0.7103 (4-game series)
p=0.6480 (2-game series)

Step-by-step explanation:

Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters n=4, p=0.6:

$P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\ i=4,5,6,7$

#We find probabilities for the different values of i:

$P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659$

Hence, probability of the stronger team winning overall is:

$=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103$

#Define Y as the random variable for winning 2/3 games.:

$P(Y=2)={1\choose 1}0.6^2=0.3600\\\\P(Y=3)={2\choose3}0.6^20.4=0.2880\\\\P(win)=0.2880+0.3600=0.6480$

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480

The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)

8 0

3 years ago

0.8x = 12. Solve for X. PLEASEEE HELPPP!!

kenny6666 [7]

Answer:

x-15

Step-by-step explanation:

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3 years ago

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7 times a number is 3 thousand 5 hundered what is the number

babymother [125]

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What ordered pairs are the solutions of the system of equations shown in the graph below

7nadin3 [17]

Answer:

Step-by-step explanation:

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4 years ago

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The length of a rectangle is eight feet more than its width. The area of the rectangle is six hundred nine square feet. What are

vodomira [7]

You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0

The width of the rectangle is 21 feet, the length is 29 feet.

_____
Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.

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3 years ago