Simplify the following expression:
(3i+ 4) -i + 4(6 +2i)
A. 14+8i
B. 27 + 11i
C. 14+41i
D. 28 + 10i

[tex] \frac{14}{35} + \frac{10}{35} - \frac{4}{35} = \frac{4}{7} [/tex]

The solution is, 4/7 is the probability that the child has blonde hair or brown eyes.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

in a group of 35 children, 10 have blonde hair, 14 have brown eyes, and 4 have both blonde hair and brown eyes.

let, the event be A,

i.e. A = if a child is selected at random, that child has blonde hair or brown eyes.

now, we have,

total no of sample space = 35

probability of blonde hair = 10/ 35

probability of brown eyes = 14/35

probability of both blonde hair and brown eyes = 4/35

so, we get,

probability of  blonde hair or brown eyes = 14/ 35 + 10/ 35 - 4/35

                                                                    = 20 / 35

                                                                    = 4/7

Hence, The solution is, 4/7 is the probability that the child has blonde hair or brown eyes.

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Answer:

6 1/18

• There is no sentence below.

• There are no statements to check

Step-by-step explanation:

18x = 109

Divide both sides by 18

x = 109/18

x = 6 1/18

Answer:

150

Step-by-step explanation:

15 times 8 = 120

14-8 = 6

6 times 5 = 30

150

Answer:

D.

Step-by-step explanation:

7

PAYMENT

1234567

THERE ARE 7 ELEMENTS

Answer:

The answer is C. 168 in^2

Step-by-step explanation:

(Area = Base x Height)

21 * 8 = 168

9514 1404 393

Answer:

  no

Step-by-step explanation:

Triangle ABC has angle measures ...

Triangle DEF has angle measures ...

Using the angle measures in the order 18, 110, 52, we can write the similarity statement as ...

  ΔABC ~ ΔEFD

The similarity statement given in the problem is incorrect. ΔABC is not similar to ΔDEF.

9514 1404 393

Answer:

  0

Step-by-step explanation:

The forces are equal and opposite, so the net force is zero.

  5N -5N = 0

Answer: D. 30

Step-by-step explanation:

Edge 100%

Answer:

the answer is d on edge

Step-by-step explanation:

Answer:

I think C. is it

Step-by-step explanation:

Step 1: Find the area of the bases (triangles)

A = 1/2 * base * height

A = 1/2 * 16 * 6

A = 48

48 + 48 = 96

Area of the triangles = 96 cm^2

Step 2: Find the area of the sides (rectangles)

A = base * height

A1 = 16 * 12

A1 = 192

A2 = 10 * 12

A2 = 120

120 + 120 = 240

240 + 192 = 432 cm^2

Step 2: Add the areas together

96 + 432

528 cm^2

Hope this helps!! :)

Answer:

37.5

Step-by-step explanation

your answer is 37.5

Answer:

Nobody knows its a mistery :'D

Answer:

Because lma/os

Step-by-step explanation:

5 ( x + 20 )

-----------------

1. Simplifly

2. Distribute

3.  5 ( x + 20 )

     5 x + 100

Answer:

V= 74.09

Step-by-step explanation:

Multiply the Length, Width & The Height.

So, 4.2x 4.2x 4x2= 74.09

Answer:

74.09 m

Step-by-step explanation:

Volume = width*hight*length

4.2*4.2*4.2 ≈ 74.09

Answer:

c

Step-by-step explanation:

Answer:

A=14 and B= 8

Step-by-step explanation:

the equation systems:

150A + 225B = 3900

=> 6A + 9B= 156 .... (1)

A + B = 22 ..... (2)

<=> 6A + 9B = 156

6A + 6B = 132

_____________-

3B = 24

B= 8 and A = 22-8 = 14

Answer:

It should be y = -x + r or y = r - x. To solve for y you would have to isolate y by removing all other variables from y's side of the equation.

Answer:

LCM of 64 and 94= 3008

HCF of 64 and 94= 2

Step-by-step explanation:

Do a venn diagram with the prime factors of 64 on the left, and the prime factors of 94 on the right. If they have the same factors put them in the middle of the venn diagram. Then you multiply everything in the diagram and get the LCM. The HCF is found by multiplying the factors in both lists which is only 2.

Answer:

y = 1/4 x - 2

Step-by-step explanation:

y = mx + b

m = 1/4 *rise/run --> rises 1 square then runs 4 squares to the left indicating it's positive

x = x

b = y-intercept --> (0,-2) --> -2

Answer:

t = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

0.5t = 0.2 + 0.4t

Step 2: Solve for t

Answer:

36 Times

Step-by-step explanation:

If there is 10 fruits and 3 of them are pears

10x 12= 120

3x12 = 36

Answer:

Step-by-step explanation:

all the fruits are 10

the pears are 3

probability of picking a pear is 3/10

out of 120 times the pear may be picked 120*(3/10) = 36 times

Answer:

Step-by-step explanation:

4 1/2 - 2 5/8

4 4/8 - 2 5/8 = 1 and 7/8

i mean i guess you could also do this witho ut sol ving

4 4/8 - 21/8 --> 36/8 - 21/8

i dk it's si mplify not solve so here?

Answer:

See the image below:)

Step-by-step explanation:

I can only show half of the steps, but these are some of the steps. You can use the app photo math, just take a picture and it will show you the steps and answer.

Answer: c on edge ;)

Step-by-step explanation:

Answer:

A) it depends. If they bought 10 calculators, we would multiply 31.25 by 10. 31.25x10=$312.50

B)Divide 500 by 31.25. Since each calculator is $31.25, we divide $500 by it to see how many they can buy with $500. 500/31.25=16

Step-by-step explanation:

*GIVE FREE COOKIE*

To calculate the percentage,

75/250×100 = 30%

Answer:

30%

Step-by-step explanation:

75/250=0.3

0.3= 3/10

3/10=30%

x = 6 × 12/8

x = 6 × 3/2

x = 3 × 3

x = 9

Answer:

sample mean (x with the bar on top) =24

Step-by-step explanation:

Take the mean of all the number of employees but divide by the number of days size: (25+10+16...)/12=25

population mean (mu) =11.52

The same goes for the other one but divide by the population which is 25

Answer:

1st quartile: 2.6

2nd quartile or median: 3.1

3rd quartile: 3.25

Step-by-step explanation: