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Afina-wow [57]
3 years ago
7

You are dealt one card from a ​52-card deck. find the probability that you are dealt a numbered card or a heart. ​ (note: a numb

ered card is a card with a value from 2 to​ 10.)
Mathematics
1 answer:
Katarina [22]3 years ago
6 0

|\Omega|=52\\ |A|=\underbrace{40}_{\text{numbered cards}}+\underbrace{13}_{\text{hearts}}-\underbrace{10}_{\text{numbered hearts}}=43\\\\ P(A)=\dfrac{43}{52}\approx83\%

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Apply the distributive property to create an equivalent expression.
rjkz [21]

Answer:

4x-8+4y

Step-by-step explanation:

We are given that an expression

4(x-2+y)

We have to find an equivalent expression using distributive property .

Distributive property:

a\cdot (b+c)=a\cdot b+a\cdot c

Using the property

4(x-2+y)=4(x-2)+4\cdot y

4(x-2+y)=4x+4(-2)+4y

4(x-2+y)=4x-8+4y

Hence, the equivalent expression  of the given expression is given  by

4x-8+4y

6 0
2 years ago
The sales tax for an item was $12.80 and it cost $320 before tax.
antiseptic1488 [7]

Answer:

Step-by-step explanation:

7 0
3 years ago
Hi guys . pls help me with this​
daser333 [38]

Step-by-step explanation:

The upstream speed is S / t₁, and the downstream speed is S / t₂.

If we say f is the speed of the fish in calm water, and r is the speed of the river, then:

f − r = S / t₁

f + r = S / t₂

If we say T is the time it takes to cross the river, then the speed perpendicular to the river is ℓ/T, the speed parallel to the river is r, and the overall speed is f.

Using Pythagorean theorem:

f² = (ℓ/T)² + r²

f² − r² = (ℓ/T)²

(f − r) (f + r) = (ℓ/T)²

(S / t₁) (S / t₂) = (ℓ/T)²

S² / (t₁ t₂) = (ℓ/T)²

(t₁ t₂) / S² = (T/ℓ)²

√(t₁ t₂) / S = T/ℓ

T = ℓ√(t₁ t₂) / S

6 0
3 years ago
The volume of a cube is 27000 cubic inches. What is the length of one side?
anyanavicka [17]

Given:

Volume of a cube = 27,000 in^3

(Note: A cube has equal sides)

The volume of a cube = a^3

So,

\begin{gathered} 27000=a^3 \\ \sqrt[3]{27000}\text{ = a} \\ a\text{ = 30 in.} \end{gathered}

Therefore, the lenght of one side is 30 inches.

4 0
1 year ago
A basketball player scored 26 points in one game. In basketball, some baskets are worth 3 points, some are worth 2 points, and f
Vsevolod [243]

Answer:

3 points = 2

2 points = 6

1 point = 8

Step-by-step explanation:

Given that:

Total point scored = 26

Let number of 3 point basket = x

Number of 2 point basket = x + 4

Number of free throws = x + x + 4 = 2x + 4

Hence,

Total 3 points = 3x

Total 2 points 2(x + 4)

Total free throw points = 2x + 4

3x + 2(x + 4) + 2x + 4 = 26

3x + 2x + 8 + 2x + 4 = 26

7x + 12 = 26

7x = 26 - 12

7x = 14

x = 2

Number of 3 points = x = 2

2 points = (x+4) = 2+4 = 6

1 point = (2x+ 4) = 2(2) + 4 = 8

5 0
3 years ago
Read 2 more answers
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