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2 years ago

Adam rolls a number cube with faces numbered 1 to 6. what is the probability, to the nearest hundredth, that he rolls a 4?

1 answer:

4 0

To solve this problem, let us first define probability. We know in statistics class that probability is simply the ratio of a selected event to occur over the total number of events. That is:

probability = number of selected event to occur / total number of events

In this scenario, our only selected event to occur is to have a dice roll of 4. That is 1 event only. Now since there are 6 number in the dice, therefore the total number of events is 6. Therefore:

probability = 1 / 6

probability = 0.1666667

Rounding off to the nearest hundredth:

probability = 0.17

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A dealer paid $10,000 for a boat at an auction. At the dealership, a salesperson sold the boat for 30% more than the auction pri

pickupchik [31]

Given situation:
=> A deadler paid $10 000 for a boat at an auction.
=> At the dealership, a sales person sold the boat for 30% more than the auction price
=> 10 000 dollars + 30%
=> Then the salesperson received a commission of 25% of the difference between the auction price and the dealership price
=> 10 000 + 25%
Let’s find the solution
=> 10 000 x .30 = 3000
=> 10 000 + 3 000 = 13 000, he sell it for this price
=> then he received a commission
=> 13 000 – 3 000 = 10 000
=> 10 000 x .25
=> 2500 , his commission

7 0

2 years ago

It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested i

lidiya [134]

Answer:

Step-by-step explanation:

We are given that 30% of California residents have adequate earthquake supplies.

a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance

B) x can take value 1 ,2 ,3 ......

C)The distribution of random variable is geometric distribution with parameter p=0.3

The pmf of geometric distribution is

$P(X=x)=0.3(1-0.3)^{x-1} , x=1,2,3...$

D)P(X=1) or P(X=2)=P(X=1)+P(X=2)

P(X=1) or P(X=2)= $0.3(1-0.3)^{1-1}+0.3(1-0.3)^{2-1}=0.51$

$P(X \geq 3)=1-P(X$

$E(X)=\frac{1}{p}$

p is the resident who does not have adequate earthquake supplies.

p = 1-0.3 = 0.7

$E(X)=\frac{1}{0.7}=1.42$

G) $E(X)=\frac{1}{q}=\frac{1}{0.3}=3.33$

8 0

2 years ago

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?f(X) 3x4 +2xfox)- (6x -4x5-10 3x2

mina [271]

Answer:
A. (3x²-4x-5)(2x⁶-5)

Explanation:
The fundamental theorem of Algebra states that:
"A polynomial of degree 'n' will have exactly 'n' number of roots"

We know that the degree of the polynomial is given by the highest power of the polynomial.
Applying the above theorem on the given question, we can deduce that the polynomial that has exactly 8 roots is the polynomial of the 8th degree

Now, let's check the choices:
A. (3x²-4x-5)(2x⁶-5)
The term with the highest power will be (3x²)(2x⁶) = 6x⁸
Therefore, the polynomial is of 8th degree which means it has exactly 8 roots. This option is correct.

B. (3x⁴+2x)⁴
The term with the highest power will be (3x⁴)⁴ = 81x¹⁶
Therefore, the polynomial is of 16th degree which means it has exactly 16 roots. This option is incorrect.

C. (4x²-7)³
The term with the highest power will be (4x²)³ = 64x⁶
Therefore, the polynomial is of 6th degree which means that it has exactly 6 roots. This option is incorrect

D. (6x⁸-4x⁵-1)(3x²-4)
The term with the highest power will be (6x⁸)(3x²) = 18x¹⁰
Therefore, the polynomial is of 10th degree which means that it has exactly 10 roots. This option is incorrect

Hope this helps :)

6 0

2 years ago

Read 2 more answers

Mickey used these calculations to find how much he would spend on 7 cartons of eggs, if 12 cartons of eggs cost $22.20. Describe

Nadusha1986 [10]

Answer:Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs

Step-by-step explanation:

9 0

2 years ago

You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if

dsp73

Answer:

Step-by-step explanation:

Given that you and a friend play a game where you each toss a balanced coin.

If the upper faces on the coins are both tails, you win $1;

if the faces are both heads, you win $2;

if the coins do not match (one shows a head, the other a tail), you lose $1 (win (−$1)).

Let Y be the amount won

Then Y can take values as 1,2 and -1

$P(Y=1) =P(TT) = 0.25\\P(Y=2) = P(HH) = 0.25\\P(Y=-1) = P(HT)+P(TH) = 0.5$

The above is the probability distribution for Y.

6 0

2 years ago