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Varvara68 [4.7K]

3 years ago

8

Which of the following angle relationships are correct?

1 answer:

g100num [7]3 years ago

5 0

Answer:

B but am not sure tho it's probably A

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In a shipment of 56 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, in how many wa

Elden [556K]

Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

Number of vials that do not have hairline cracks = 13

Then, Number of vials that have hairline cracks =56-13=43

Since , order of selection is not mattering here , so we combinations to find the number of ways.

The number of combinations of m thing r things at a time is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

$^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434$

Hence, the required number of ways =27434

5 0

3 years ago

Which function is equivalent to f(x) = lnx?

11Alexandr11 [23.1K]

Answer:

$f(x)=log_ex$

Step-by-step explanation:

By definition, we can write ln instead of log. WHEN??

Whenever the base of the logarithm is the number "e".

Hence, when we have:

$Log_e$

We can write it in shortcut as:

$Log_e=ln$

Hence, ln x can also be written as $Log_ex$

Fourth answer choice is right.

7 0

3 years ago

Read 2 more answers

F(x) = -2x - 1; Find f (x - 4)

qaws [65]

Answer:

B

if f(x-4) then we should put x-4 where the x is spouse to be so;

-2(x-4)-1 =

-2x + 8 - 1 =

-2x + 7

5 0

3 years ago

Write an algebraic expression that represents each purchase.

Svetradugi [14.3K]

Answer: Both answers will be

$15x+18$

Step-by-step explanation:

Since we have given that

Cost of soccer balls = $15

Cost of baseball = $6

Cost of sweat socks = $5

a) Mr. Tonkery bought x number of soccer balls and 3 base balls .

So, our algebraic expression will be

$15x+3\times 6\\\\=15x+18$

b) Dennis, Eddie and Felix are on a base ball team. They each bought a baseball and x pair of sweat socks .

Since there are 3 members in a base ball team ,

Number of base ball they will purchase is given by

$3\times 6=18$

Number of sweat socks they will bought is given by

$5\times x\times 3=15x$

Total number they will purchase is given by

$15x+18$

Hence, both answers will be

$15x+18$

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B2%2C25%7D.1%2C46-2%2C25.0%2C02%5C%5C" id="TexFormula1" title="\sqrt{2,25}.1,46-2,25.

Zina [86]

Answer:

i dont understand what your asking

Step-by-step explanation:

4 0

2 years ago