Using the identity. (a - b) ²= (a² - 2ab + b²), evaluate 699²​

Answer:

Step-by-step explanation:

Answer:

0.07047

Step-by-step explanation:

at least 4 people survive is

4 people survive and 2 don't +

5 people survive and 1 doesn't +

all 6 people survive

the probability of 4 people to survive is the product of the individual probabilities :

0.3×0.3×0.3×0.3 = 0.3⁴ = 0.0081

times the probability 2 don't survive

0.7×0.7 = 0.49

0.0081×0.49 = 0.003969

now, the chance that 4 out of 6 survive is that probabilty times how many times we can select 4 out of 6.

to select 4 out of 6 is

[tex] \binom{6}{4} [/tex]

= 6! / (4! × (6-4)!) = 6! / (4! × 2!) = 6×5/2 = 30/2 = 15

so, the probability of having 4 survivors is

15×0.003969 = 0.059535

the probability of 5 people surviving is 0.3⁵ times one not

0.3⁵×0.7 = 0.001701

we have 6 over 5 combinations to pick 5 out of 6 = 6.

so, in total for 5 survivors we get

6×0.001701 = 0.010206

and the probabilty of all 6 surviving is

0.3⁶ = 0.000729

so, the probability of at least 4 out of 6 surviving is

0.059535 +

0.010206 +

0.000729

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

0.070470

Answer:

[tex]10a + 5(a - 3) = 15 \\ 10a + 5a - 15 = 15 \\ 15a = 30 \\ a = \frac{30}{15} \\ a = 2 \\ 10 \times 2 + 5(2 - 3) = 15 \\ 20 + - 5 = 15 \\ 15 = 15 \\ lhs = rhs\\ thank \: you[/tex]

Answer: a = 2

Solve:

Given

10a + 5 (a - 3) = 15

Expand parentheses and apply the distributive property

10a + 5 · a - 5 · 3 = 15

10a + 5a - 15 = 15

Combine like terms

(10a + 5a) - 15 = 15

15a - 15 = 15

Add 15 on both sides

15a - 15 + 15 = 15 + 15

15a = 30

Divide 15 on both sides

15a / 15 = 30 / 15

[tex]\boxed{a=2}[/tex]

Check:

Left-hand side = 10a + 5 (a - 3)

Left-hand side = 10(2) + 5 (2 - 3)

Left-hand side = 20 + 5(-1)

Left-hand side = 20 - 5

Left-hand side = 15

Right-hand side = 15

15 = 15, therefore, [tex]\boxed{a=2}[/tex] would make the equation true.

Hope this helps!! :)

Please let me know if you have any questions

z = 3i / (-1 - i )

z = 3i / (-1 - i ) × (-1 + i ) / (-1 + i )

z = (3i × (-1 + i )) / ((-1)² - i ²)

z = (-3i + 3i ²) / ((-1)² - i ²)

z = (-3 - 3i ) / (1 - (-1))

z = (-3 - 3i ) / 2

Note that this number lies in the third quadrant of the complex plane, where both Re(z) and Im(z) are negative. But arctan only returns angles between -π/2 and π/2. So we have

arg(z) = arctan((-3/2)/(-3/2)) - π

arg(z) = arctan(1) - π

arg(z) = π/4 - π

arg(z) = -3π/4

where I'm taking arg(z) to have a range of -π < arg(z) ≤ π.

Answer:

failure to correctly define the problem

Step-by-step explanation:

He changes the menu without identify that the real problem was the service.

Answer:

75

Step-by-step explanation:

Let x = total bill

x*63% = 47.25

x *.63 = 47.25

Divide each side by .63

x*.63/.63 = 47.25/.63

x=75

Answer:

1, 2, 3, 4, 6, and 12

Step-by-step explanation:

Answer:

1,2,3,4,6,12

Step-by-step explanation:

because they divide the numbers without any remainder.

9514 1404 393

Answer:

  -203.1875

Step-by-step explanation:

The ends of the interval are ...

  (-4, g(-4)) = (-4, 1023 15/16)

  (1, g(1)) = (1, 8)

The average rate of change is the slope of the line between these two points:

  m = (y2 -y1)/(x2 -x1)

  m = (8 -(1023 15/16))/(1 -(-4)) = (-1015 15/16)/5 = -203 3/16

The average rate of change on the interval is -203 3/16.

Answer:

d part is correct because in associative property the brackets and the numbers CAN be shifted

9514 1404 393

Answer:

  x > -1 and x ≠ 3

Step-by-step explanation:

The function value will be positive when there are an even number of negative factors. The factors change sign at x = -1, are zero at x = 3. The expression is positive for ...

  x > -1 and x ≠ 3

Answer:

No, -12 is not a solution.

Step-by-step explanation:

8u-1=6u

8(-12)-1=6(-12)

-96-1=-72

-97=-72

Untrue, to it’s not a solution

Answer:

1/2 base×height

1/2 .5×4

1/2.20

20 divided by 2 is 10

1/1×10

10cm2

ans

Answer:

B opition is right

Step-by-step explanation:

The domina a function of

Step-by-step explanation:

0.09w + 1.8 = 0

0.09w = 0 - 1.8

0.09w = - 1.8

0.09w ÷ 0.09 = - 1.8/ 0.09

w = - 20

Answer:

I've attached a graph with this, that's your answer

9514 1404 393

Answer:

  5√13 m

Step-by-step explanation:

The length of the space diagonal is the "Pythagorean sum" of the lengths of the edges of the cuboid.

  AC = √(8² +6² +15²) = √325 = √(13·25)

  AC = 5√13 . . . meters

__

AB is the hypotenuse of the right triangle with legs 6 and 8, so is 10 units. AC is the hypotenuse of right triangle ABC, so is ...

  AC = √(AB² +BC²) = √(10² +15²)

Answer:

27

Step-by-step explanation:

since you are adding 3 to the pile each time, on the 6th pile you would have 27 because 24 + 3 = 27

Answer:

OD) 16 cubic centimeters

Answer:

4

Step-by-step explanation:

7+sqrt(7) is an irrational number

Answer:

p = 8 when b = 16 and p = -8 when

b = -16

Step-by-step explanation:

x² + bx + 64 = x² + 2px + p²

Cancel x² on both sides,

bx + 64 = 2px + p²

Now, by comparing both sides, you'll get the following equations,

1. b = 2p

2. p² = 64

From equation (2),

p = ±√64

= 8 or -8

Substitute p = 8 and p = -8 into equation (1),

b = 2(8) and b = 2(-8)

b = 2(8) and b = 2(-8) = 16 = -16

Therefore, p = 8 when b = 16 and p = -8 when

b = -16

Answer:

There are fourteen rungs on the ladder

He spent $22.5 on the student discount card.

This question is solved using proportions.

The cost of each card is of $1.50.

Paul bought 15 passes, that is, 15 cards.

Considering that he bought 15 cards, each for $1.50, his spending was of:

He spent $22.5 on the student discount card.

Lets do

[tex]\\ \sf\longmapsto K=\dfrac{AB}{A+B}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{K}=\dfrac{A+B}{AB}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{K}=\dfrac{1}{A}+\dfrac{1}{B}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{B}=\dfrac{1}{K}-\dfrac{1}{A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{B}=\dfrac{K-A}{AK}[/tex]

[tex]\\ \sf\longmapsto B=\dfrac{AK}{K-A}[/tex]

Answer:

Does the answer help you?

4x+2=6(-2x-5)

<=>4x+2=-12x-30

<=>16x+32=0

<=>x=-2

Answer:

By the Sum Rule, the derivative of 1−sin(x) 1 - sin ( x ) with respect to x x is ddx[1]+ddx[−sin(x)] d d x [ 1 ] + d d x [ - sin ( x ) ] .

Answer:

True

Step-by-step explanation:

Both happened in different times and are seprate events

We need to find the number of buttons the company produced per day

The company produced 772 buttons per day

Total bottons produced in a week = 5404

There are 7 days in a week

If the factory produced same number of buttons every day of the week

Then,

Buttons produced per day = Total bottons produced in a week / Total number of days in a week

= 5404 / 7

= 772 buttons

The company produced 772 buttons per day

Read more: https://brainly.com/question/24368335

Answer:

-3x + 5

Step-by-step explanation:

like terms are the ones that have x and the ones that don't.

hope this makes sense

Answer:

-3x + 5

Step-by-step explanation:

2x - 3 - 5x + 8 can also be written as 2x - 5x - 3 + 8

→ Using the rewritten method collect the x terms

-3x - 3 + 8

→ Now collect the integers

-3x + 5