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3 years ago

Which principle helps us to determine the total number of outcomes in a sample space?

1 answer:

7 0

The principle that helps us to determine the total number of outcomes in a sample space is the counting principle.

The Fundamental Counting Principle: If there are “a” ways for one event to happen, and “b” ways for a second event to happen, then there are “a * b” ways for both events to happen.

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HELP !! The equations of three lines are given below.

Leviafan [203]

Answer:

1 neither

2 neither

3 neither

Step-by-step explanation:

6 0

3 years ago

A wire is bent to form a square of side 22 cm. If the wire is re bent to form a circle, its radius is with steps

ExtremeBDS [4]

Step-by-step explanation:

the circumference of a circle is

C = 2×pi×r

with r being the radius.

the square side length is 22 cm. so, the circumference or perimeter of the square (and therefore the length of the wire) is

4×22 = 88 cm.

now, it is the same wire of the same length that is now forming a circle.

so, the circumference of the square is also the circumference of the circle.

therefore,

88 = 2×pi×r

44 = pi×r

r = 44/pi = 14.00563499... cm

so, rounded, radius = 14 cm.

5 0

2 years ago

Read 2 more answers

Julie is digging a square area in her backyard a for a vegtable garden. If the area is 52 square feet, what is the approximate l

AURORKA [14]

Answer:

The correct option will be: (b) 7 feet.

Step-by-step explanation:

Suppose, the length of the garden is $x$ feet.

As the shape of the garden is like a square, then the area of the garden will be: $(length)^2 = x^2$ feet²

Given that, the area is 52 square feet. So, the equation will be.......

$x^2= 52\\ \\ x=\sqrt{52} = 7.211.... \approx 7$

So, the approximate length of the garden will be 7 feet.

4 0

3 years ago

Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that

AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let x is the money deposit in the bank and y is the money deposit in stock fund.

Therefore,

x + y = 27000

x = 27000 - y

The bank account will pay 2.4% annual interest.

$\frac{2.4}{100}x+x=1.024x$

Stock fund pays 7.2% annual interest.

$\frac{7.2}{100}y+y=1.072y$

Therefore,

1.024 x + 1.072 y = 1.06 × 27000

Substitute the x = 27000 - y in above equation.

1.024 (27000 − y) + 1.072 y = 1.06 × 27000

27648 − 1.024 y + 1.072 y = 28620

0.048 y = 28620-27648

0.048 y = 972

y = 20250

Now, substitute the y = 20250 in x = 27000 - y.

x = 27000 − 20250

x = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

7 0

3 years ago

Choose yes or no to tell whether the expression represents a 20% discount off the price of an item that originally costs d dolla

tester [92]

Answer:

Option A and C is correct.

Step-by-step explanation:

Discount is defined as a reduced price on something being sold or at a price lower than that item is normally sold for.

For a 20% discount,

Given:

Initial prices = $ d

Discounted price = % discount × original/initial cost

= 20/100 × d

= 0.2 × d

Selling price = original cost - discounted price

= d - 0.2d

= 0.8 × d

= 0.8d

8 0

3 years ago