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Natalka [10]
3 years ago
11

Megan picks a card from a deck of cards numbered 1-10 and rolls a number cube. What is the probability she chooses a card with a

5 and rolls an even number?
Mathematics
2 answers:
ehidna [41]3 years ago
4 0

Answer:

1/20 if there is only those 10 cards in a deck and 1/26 if there is 52 cards in the deck.

Step-by-step explanation:

There is 3/6 chances to roll a die with an even number, aka 1/2. If there are only 10 cards in the deck and only one of them has the number 5, it's 1/10. To find the probability of both these things happening, multiply the probabilities. 1/10 x 1/2 is equal to 1/20. However, since the question doesn't specify if there is 52 cards like a normal deck and 4 5's etc, there can be a different answer because if there's 52 cards in a deck, 4 of them 5's, the chance of getting a 5 is 4/52 or 1/13 and then you multiply that by 1/2 to get 1/26

nevsk [136]3 years ago
4 0

Answer:

Step-by-step explanation:

a deck of cards labeled 1 thru 10......probability of picking a 5 are 1/10 because there is 1 five card out of a deck of 10 cards.

number cube is rolled, probability of rolling an even number is 3/6 or 1/2....because u have 3 even numbers and ur number cube has 6 total numbers.

probability of both events happening are : 1/10 * 1/2 = 1/20 or 1:20 <==

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Solution:

The given Polynomial is :

f(x) = 5x^4 + 4x^3 - 2x^2 + 2x + 4=5( x^4 + \frac{4}{5}x^3 - \frac{2}{5}x^2 + \frac{2}{5}x + \frac{4}{5})

By Rational Root theorem the  of Zeroes of the Polynopmial are:

\pm\frac{1}{5},\pm\frac{2}{5},\pm\frac{4}{5},\pm1,\pm2,\pm4

But , f(\pm\frac{1}{5},\pm\frac{2}{5},\pm\frac{4}{5},\pm1,\pm2,\pm4)\neq 0

So, no root of this polynomial is real.

Therefore, All the four roots of Polynomial are imaginary.

So, we can't say whether the number k=2, is an upper or lower bound of the polynomial f(x) = 5x^4 + 4x^3 - 2x^2 + 2x + 4=5( x^4 + \frac{4}{5}x^3 - \frac{2}{5}x^2 + \frac{2}{5}x + \frac{4}{5}).

8 0
3 years ago
Read 2 more answers
Which is more 2 yards or 40 inches
MAVERICK [17]
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3 0
2 years ago
B = 54°, b=15, c=<br> c = ? (Round answers to<br> the nearest hundredth.)
zaharov [31]

Answer:

18.54

Step-by-step explanation:

sine is opposite/hypotenuse, and you have opposite (b=15), so use that

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8 0
2 years ago
Let u = (1, 2 -2), v= (2, 1, 3) and w = j + 4k. a) Find cos theta, where theta is the angle in degrees between u and w.
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Answer: The value of cos theta is -0.352.

Step-by-step explanation:

Since we have given that

\vec{u}=1\hat{i}+2\hat{j}-2\hat{k}\and\\\\\vec{w}=\hat{j}+4\hat{k}

We need to find the cos theta between u and w.

As we know the formula for angle between two vectors.

\cos\ \theta=\dfrac{\vec{u}.\vec{w}}{\mid u\mid \mid w\mid}

So, it becomes,

\cos \theta=\dfrac{2-8}{\sqrt{1^2+2^2+(-2)^2}\sqrt{1^2+4^2}}\\\\\cos \theta=\dfrac{-6}{\sqrt{17}\sqrt{17}}=\dfrac{-6}{17}=-0.352\\\\\theta=\cos^{-1}(\dfrac{-6}{17})=110.66^\circ

Hence, the value of cos theta is -0.352.

8 0
3 years ago
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