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3 years ago

Find the value of the variable and GH if H is between G and I. GI=5b+2,HI=4b-5, HI=3

Mathematics

1 answer:

gulaghasi [49]3 years ago

4 0

Answer:

GH = 9 units

Step-by-step explanation:

Given HI = 4b - 5 and HI 3, then

4b - 5 = 3 ( add 5 to both sides )

4b = 8 ( divide both sides by 4 )

b = 2

Thus

GI = 5b + 2 = 5(2) + 2 = 10 + 2 = 12

GH = GI - HI = 12 - 3 = 9

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Find the sample space for a committee of two chosen from Alice (A), Bill (B), Carol (C), and David (D).

Finger [1]

Answer:

(a) C. {(A, B), (A, C), (A, D), (B, C), (B, D), (C, D)}

(b) C. {(A,B),(A,D),(B,C),(C,D)}

Step-by-step explanation:

Given four members eligible for selection:

Alice (A), Bill (B), Carol (C), and David (D).

The possible combinations are:

(A,B),(A,C),(A,D),(B,A),(B,C),(B,D),(C,A),(C,B),(C,D), (D,A),(D,B), (D,C)

Since the same pairs are equal i.e. (A, B)=(B , A),

The Sample space for a committee of two is:

{(A,B),(A,C),(A,D),(B,C),(B,D),(C,D)}

This is Option C.

If both genders must be represented, we remove the entries that contain the same gender from the sample space above.

A and C -Female

B and D - Male

{(A,B),(A,C),(A,D),(B,C),(B,D),(C,D)}

Therefore, the sample space if both genders are to be represented is:

{(A,B),(A,D),(B,C),(C,D)}

This is Option C.

4 0

3 years ago

If 10 percent of x is 20 what is 23 percent of x

Zarrin [17]

X = 200 because when finding 10% of s number we divide the number to 10. then you find 23 percent of 200. which is 46, because percentages are found out of 100 and 200 is 100 multiplied by 2. So we have to multiply 23 by 2. the answer is 46.

6 0

3 years ago

PLEASE HELP ME ASAP??!!

earnstyle [38]

It says that there was an error with my answer, but I don't know what, so I screenshotted what I typed and attached them as 4 images below:

5 0

3 years ago

5 - -10 also I need a example thank u everyone for your help

Step2247 [10]

Step-by-step explanation:

A negative number being subtracted makes it positive

5 - -10

5+10 =15

6 0

3 years ago

the hypotenuse of a right triangle is 3 cm and one of the legs is 1 cm what is the length of the other leg ?

Afina-wow [57]

Answer:

2 $\sqrt{2}$

Step-by-step explanation:

let the other leg be x

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 1² = 3²

x² + 1 = 9 ( subtract 1 from both sides )

x² = 8 ( take the square root of both sides )

x = $\sqrt{8}$

= $\sqrt{4(2)}$

= $\sqrt{4}$ × $\sqrt{2}$ = 2 $\sqrt{2}$ ← exact value

4 0

3 years ago

Find the value of the variable and GH if H is between G and I. GI=5b+2,HI=4b-5, HI=3​

Find the value of the variable and GH if H is between G and I. GI=5b+2,HI=4b-5, HI=3