An algebraic expression for the sum of a number and 8

The probability that you roll a 5 on a six-sided die is start fraction one over six end fraction . the probability that you flip

Anastaziya [24]

Let event A be the coin landing on heads and let event B be rolling a 5 on a six-sided die.
Events A and B are independent if, and only if:
$P(A\cap B)=P(A)\times P(B)$
It is given in the question that the above condition for independence is met.
Also A and B are independent if:
P(A|B) = P(A)
P(A) = 1/2
Therefore the probability of flipping a coin and it landing on heads, given that you rolled a 5 on a six-sided die is 1/2. The two events are independent.

5 0

2 years ago

Find the altitude of a kite where 120 feet of string makes a 64 degree angle to the ground

Mekhanik [1.2K]

Answer:

107.86 to 2 d.p.

Step-by-step explanation:

makes a triangle. 120 feet is the hypotenuse.

we want to find the opposite so we will use sine.

sin(x) = opp/hyp which means opp = sin(x)hyp.

opp = sin(64)120

opp = 107.86 to 2d.p.

4 0

2 years ago

Please solve this :)

Karolina [17]

Answer:

1000 is the best answer yet

8 0

3 years ago

(Annuity number of periods) You've just bought a new flat-screen TV for $3,400 and the store you bought it from offers to le

AleksAgata [21]

9514 1404 393

Answer:

2.5 years

$736 in interest

Step-by-step explanation:

The relationship between the values in an amortization is ...

A = P(r/12)/(1 -(1 +r/12)^(-12t))

Here, we have A = 140, P = 3400, r = 0.16 and we want to find t

140 = 3400(0.16/12)/(1 -(1 +0.16/12)^(-12t))

1 -(1 +0.16/12)^(-12t) = 1/3.0882353

(1 +0.16/12)^(-12t) = 0.67619048

Taking logarithms gives ...

-12t·log(1 +0.16/12) = log(0.67619048)

t = log(0.67619048)/(-12·log(1+0.16/12)) ≈ 2.46177

It will take about 2.5 years to pay off the loan.

__

The total of payments is ...

(2.46177)(12)($140) = $4135.77

so, the interest paid is ...

$4135.77 -3400 = $735.77

You will pay about $736 in interest over the life of the loan.

_____

<em>Additional comment</em>

The number of payments is calculated to be about 29.54. You would probably make 30 payments, with the last payment being a different amount than $140. The actual amount will depend on when the payment is made, and the amount of it that is finance charge. We believe the remaining balance after 29 payments will be $75. After a full month, the finance charge due on that amount is $1.00, bringing the total amount of interest paid to $736.

If the loan is paid off in the middle of the month, the interest due is reduced. Above, we have calculated interest based on a last payment made part way through the month. We rounded up, partly because of the ambiguity in the final payment.

4 0

2 years ago

Name the theorem or postulate that can be used to prove that these triangles are similar

Musya8 [376]

Answer:SAS

Step-by-step explanation:Similar triangles are easy to identify because you can apply three theorems specific to triangles. These three theorems, known as Angle - Angle (AA), Side - Angle - Side (SAS), and Side - Side - Side (SSS), are foolproof methods for determining similarity in triangles.

5 0

3 years ago

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