What is the probability that the card drawn is a diamond and a jack

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:

1/26=4/104

Step-by-step explanation:

The probability of pulling a diamond if completely shuffled properly, is a 1/4. Because there are 4 suits. This is only if, there are no jokers.

And the probability of pulling a jack, is a 4/51. Because there are 4 jacks out of the 51 cards, but you already pulled out a diamond card, so you take 1 out.

Multiply them together, and you will get 4/104 = 1/26

There is a 1/26 chance of pulling out a diamond card, then a jack.

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A survey 3,000 who bought a new car showed that 900 had problems. What is the relative frequency of the people that had problems

Anit [1.1K]

Answer:

30%

Step-by-step explanation:

Presuming that "survey 3,000" is the total and "900" is the factor who had problems then dividing the total amount by the amount of problems like equal the relative frequency of people that had problems

Math:

Amount of people you had problems / Amount of people who bought the new car.

900 / 3000 = 0.3

Now you need to multiply by 100% (because % in this case is a unit/measurement)

0.3 * 100% = 30%

3 0

3 years ago

What are the roots of the polynomial equation 3x^4+12x^2=6x^3

Dominik [7]

Factor the equation to give
$3x^4+12x^2=6x^3$
$3x^4+12x^2-6x^3=0$
$x^2(3x^2+12-6x)=0$
By the zero product property, either x^2=0 or (3x^2+12-6x)=0 or both.
If x^2=0, then x=0
if (3x^2+12-6x)=0, we use the quadratic formula to solve for x
where x=1 &pm; √ (3) i

Answer: the roots of <span>3x^4+12x^2=6x^3 are {0 (multiplicity 2), 1+√3 i, 1-√3 i}</span>

7 0

3 years ago

What is the length of the diagonal of a poster board with dimensions 22 inches by 28 inches? Round to the nearest tenth.

devlian [24]

Answer:

The length of the diagonal of a poster board is $35.6\ in$