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iVinArrow [24]
2 years ago
10

Can someone please help as I'm not sure how to tackle this step by step? Especially question b, d, g, j, k, l. Not how sure to d

o it if contains a surd just on its own.

Mathematics
1 answer:
Arisa [49]2 years ago
7 0

Step-by-step explanation:

√a = 1√a so we can solve them easily:

b) 3√7 -√7= 3√7 - 1√7 =( 3-1)√7= 2√7

d) 5√6 - 2√6+√6= (5-2+1)√6 = 4√6

g) √2+2√2= 3√2

j) √5+5√5 - 3√5 = 3√5

k) 2√3 + √3 - 5√3= -2√3

I) 5√11 + 7√11 - √11 = 11√11

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Let w=width and 4 + w=
kozerog [31]

Answer:

Part 1 : w^2+4w-60=0

Part 2 :

w=6

l = 10

Step-by-step explanation:

Part 1:

Let the width of the rectangle = w

Length of the rectangle = w + 4

Area of the rectangle is given as

60 Sq Yrds

60=w(w+4)

60=w^2+4w

w^2+4w-60=0

Hence this expression represents the area of the rectangle. Solving which for w will give us the width of the rectangle.

Part 2:

(w+10)(w-6)= 0

either (w+10) = 0

or

(w-6)=0

or both are zero

(w+10) = 0 ⇒ w = -10

not possible as the dimension can not be 0

(w-6)=0  ⇒ w=6

Hence the width is 6 yards

And thus the length will be 6+4 = 10 yards

8 0
3 years ago
A stack of 9 different cards are shuffled and spread out face down. If 4 cards are tired face up, how many different 4-card comb
Juliette [100K]

Answer:

126.

Step-by-step explanation:

This is the number of combinations of 4 cards  from 9 cards:

= 9C4

= 9! / 4! 5!.

A quick way of calculating this is  

9*8*7*6

----------- =   9*2*7   =    126 combinations.

4*3*2*1

7 0
3 years ago
An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at
solong [7]

Answer:

a) The probability tree is constructed below

b) the probability that at least two women will be selected is 0.500

Step-by-step explanation:

Given the data in the question;

a) The probability tree is as follows;

                                                 3 men, 3 women

                                                            ↓

           _______________________|________________________

            ↓                             ↓                                  ↓                               ↓

         3 men                    2 men                          1 man                        0 men

      0 women                1 woman                     2 woman                   3 women

b) the probability that at least two women will be selected

p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3

so

p( at least two women would be selected) = C

³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃  

= 3!/(2!(3-2)!) × 3!/(1!(3-1)!)  / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)

= 3 × 3 / 20 + 1 ×  1 / 20

= 9/20 + 1/20

= 0.45 + 0.05

p( at least two women would be selected) = 0.500

Therefore, the probability that at least two women will be selected is 0.500

6 0
3 years ago
"If A, then B" is the form of a<br> statement.
Allisa [31]

<em>Answer:</em>

<em>Hello! </em>

<em>__________________</em>

<em>"If A, then B" is the form of a statement then it is conditional statement.</em>

<em>Hope this helped you!</em>

<em>:D</em>

3 0
3 years ago
Thirty-five girls out of 100 play a musical instrument.what percentage of the girls do not play a musical instrument?
andrey2020 [161]
65% all you have to do is 100-35 
6 0
3 years ago
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