What is the inverse of the statement below?

Mathematics

1 answer:

maksim [4K]3 years ago

3 0

I think is B

Because when you change position the sign change from positive to negative

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What's substitution for:<br> X=y-7<br> X+8y=2

MrRissso [65]

$\left \{ {{x=y-7} \atop {x+8y=2}} \right. \\\\
substitute\ x=y-7\ into \ the\ second\ equation\\\\
y-7+8y=2\\\\
9y-7=2\ \ \ | add\ 7\\\\
9y=9\ \ \ | divide\ by\ 9\\\\
y=1\\\\x=y-7=1-7=-6$

4 0

3 years ago

a fair coin is flipped 10 times. what is the probability of getting the same number of heads and tails

Dafna11 [192]

If you flip a coin one time, the probability to get a Head is

p = 1/2

The probability of not getting a head in a single toss is :

q = 1 - 1/2 = 1/2

Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.

Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :

P(X = 5) = $\frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}$ ≈ 0.246

So the probability of that is 24,6 %

Good Luck

3 0

3 years ago

PLEASE HELP ME<br> Which expression is equivalent to –8(–5k+4)+6k

zheka24 [161]

Answer:

the last option (-5k+4)-8 + 6k

Step-by-step explanation:

-8(-5k+4)+6k

to simplify, begin by distributing the -8 so that parentheses are removed:

=(-8)(-5k) + (-8)(4) + 6k

=40k - 32 + 6k

combine 'like terms':

46k-32

the only answer which simplifies to 46k-32 is the last option:

the only difference between the original problem and the last option is that the -8 value is behind the parentheses instead of in front of it; it simplifies to be 46k-32

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3 years ago

The distance between the points (-3,0) and (4,0) is

hram777 [196]

Answer:

$\sqrt{7}$