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4 years ago

What is the probability that two events, A and B, will occur at the same time?

1 answer:

6 0

P (A and B) is the answer for this question, unless the question asks 'not the same time' Then your answer would be P(A or B).

You might be interested in

What is 0.35714285714 as a fraction?

Flura [38]

Answer:

0.35714285714 as a fraction equals 35714285714/100000000000

Step-by-step explanation:

To write 0.35714285714 as a fraction you have to write 0.35714285714 as numerator and put 1 as the denominator.

Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.35714285714 = 0.35714285714/1 = 3.5714285714/10 = 35.714285714/100 = 357.14285714/1000 = 3571.4285714/10000 = 35714.285714/100000 = 357142.85714/1000000 = 3571428.5714/10000000 = 35714285.714/100000000 = 357142857.14/1000000000 = 3571428571.4/10000000000 = 35714285714/100000000000

I hope this helps :)

5 0

3 years ago

Read 2 more answers

The side lengths of a square was dilated by the scale factor of 4/5. The new area of the square is 64 cm2. Find the original sid

PSYCHO15rus [73]

Solve for side

a = 8 cm

A Area 64 cm^2

Using the formula

A = a^2

a = $\sqrt{A} = \sqrt{64} = 8cm$

3 0

3 years ago

PLEASE HELP WILL MARK BRAINLIEST!

pishuonlain [190]

Answer:

a. 125 degrees

b. 62 degrees

c. 58 degrees

d. 130 degrees

Step-by-step explanation:

I assume these are the inner angles of the polygons.

remember, for a polygon with n sides we can fully split it into n-2 triangles without overlap.

each of these triangles has an angle sum of 180 degrees.

to get the total inner angle sum of the polygon, we need to multiply 180 by (n-2) (= the number of triangles).

out of that total we can then calculate the size of the missing angle.

a. 6 sides, therefore 4 triangles

4×180 = 720 degrees

the missing angle is

angle = 720 - 88 - 152 - 125 - 105 - 125 = 125

b. 5 sides, 3 triangles

3×180 = 540 degrees

angle = 540 - 109 - 111 - 140 - 118 = 62

c. 4 sides, 2 triangles

2×180 = 360

angle = 360 - 60 - 142 - 100 = 58

d. 7 sides, 5 triangles

5×180 = 900

angle = 900 - 90 - 120 - 140 - 150 - 120 - 150 = 130

3 0

3 years ago

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s

makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = $Length \times Breadth = xy$

We are given that the area of the garden is 122 square feet

So, $xy=122$ ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = $30x+20(\frac{122}{x})$

Total cost = $\frac{2440}{x}+30x$

Now take the derivative to minimize the cost

$f(x)=\frac{2440}{x}+30x$

$f'(x)=-\frac{2440}{x^2}+30$

Equate it equal to 0

$0=-\frac{2440}{x^2}+30$

$\frac{2440}{x^2}=30$

$\sqrt{\frac{2440}{30}}=x$

$9.018 =x$

Now check whether it is minimum or not

take second derivative

$f'(x)=-\frac{2440}{x^2}+30$

$f''(x)=-(-2)\frac{2440}{x^3}$

Substitute the value of x

$f''(x)=-(-2)\frac{2440}{(9.018)^3}$

$f''(x)=6.6540$

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

$(9.018)y=122$

$y=\frac{122}{9.018}$

$y=13.528$

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

4 0

3 years ago

WILL MARK BRAINLIEST IF CORRECT!!!!!!!!!!!!!!<br> Workings, please!!!

Cloud [144]

The equation of a line is written in form y = Mx+ b

M is the slope, also known as the gradient.

You are given the gradient and one point , which is an x and y value. Using that solve for b:

1. Gradient = 2, x = 4, y= 3

3 = 2(4) + b

3 = 8 + b

Subtract 8 from both sides:

B = -5

The equation becomes y = 2x-5

2. Gradient = -3, x= -1, y = 7

7 = -3(-1) + b

7 = 3 + b

Subtract 3 from both sides:

B = 4

Equation becomes: y = -3 +4

7 0

3 years ago

Read 2 more answers