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Zigmanuir [339]

3 years ago

7

There are 13 female board members and 10 male board members. If a committee of 10 members is randomly chosen, what is the probab

ility that the committee has exactly 4 females?

1 answer:

Mama L [17]3 years ago

4 0

Answer:

0.131

Step-by-step explanation:

(13C4×10C6)/26C10

= 975/7429

= 0.131 (3 sf)

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F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b

NeX [460]

Answer: $m=\dfrac{-1}{3}, b=\dfrac{7}{3}$

Step-by-step explanation:

Given

Function is $f(x)=mx+b$

$f(-2)=3$

$\therefore 3=m(-2)+b\\\Rightarrow b-2m=3\quad \ldots(i)$

$f(4)=1\\\therefore 1=4m+b\quad \ldots(ii)$

from (i) and (ii) we get

$m=\dfrac{-1}{3}, b=\dfrac{7}{3}$

3 0

2 years ago

Factor 26r3s + 52r5 – 39r2s4.

algol [13]

Answer:

13r²(2rs + 4r³ - 3s⁴)

Step-by-step explanation:

In equation 26r³s + 52r⁵ - 39r²s⁴;

The GCF of 26, 52, and 39 = 13

The GCF of r³, r⁵ and r² = r²

The GCF of s, (no "s"), and s⁴ = no "s" (Since one of the number doesn't have "s")

Now we can factor out 13r² from all three expressions;

26r³s + 52r⁵ - 39r²s⁴

=> <em>13r²(2rs) + 13r²(4r³) - 13r²(3s⁴)</em>

To factor it all together;

<u>13r²(2rs + 4r³ - 3s⁴)</u>

Hope this helps!

7 0

3 years ago

A man makes a profit of 15%6y selling an article for Rs 2500. For what price should he sellituto make a profit of 38%

dusya [7]

Find the price before the 15% profit:

2500 / 1.15 = 2173.91

Now multiply the original cost by 1 + 38%:

2173.91 x 1.38 = 2999.99

Answer: 2.999.99 ( may need to round to 3,000)

5 0

3 years ago

Sketch a linear graph given the following key features

Elan Coil [88]

Answer:

Step-by-step explanation:

5 0

3 years ago

49 is 175% of what number?

jeyben [28]

$x-\ number\\\\
175\%x=49\\\\
\frac{175}{100}x=49\\\\
1,75x=49\ \ \ | divide\ by\ 1,75\\\\x=28\\\\
49\ is\ 175\%\ of\ 28.
$

5 0

3 years ago