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Reptile [31]
3 years ago
14

Find the probability.

Mathematics
1 answer:
kvv77 [185]3 years ago
8 0

Answer:

7/36

Step-by-step explanation:

1 die has 6 faces

When two dice are rolled, the total number of outcomes

= 6 × 6 = 36

The Probability of having(5) =

(1 & 4), (2 & 3) , ( 3 & 2), (4 & 1)

= 4

The probability of having (10) =

(5 & 5), (4 & 6) , ( 6 & 4)

= 3

The probability that the score on the dice is either 5 or 10.

P(5) + P(10)

= 4/36 + 3/36

= 7/36

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A set of ordered pairs that has each value of the x-coordinate only once is a function.
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4 years ago
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Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t
KengaRu [80]

Answer:

0.139

Step-by-step explanation:

We are given that

Total number of cards=52

n=18

We have to find the probability of drawing at least 7 spades

Total number of spaded in deck of 52 cards=13

Probability  of getting spade=p=\frac{13}{52}=\frac{1}{4}

Probability,P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}

Probability  of getting no spade=q=1-p=1-\frac{1}{4}=\frac{3}{4}

By binomial theorem of probability

P(X=x)=\binom{n}r}p^rq^{n-r}

P(x\geq 7)=1-P(x\leq 6)

The probability of drawing at least 7 spades=1-\sum_{r=0}^{6}\binom{18}{r}(\frac{3}{4})^{18-r}(\frac{1}{4})^r

The probability of drawing at least 7 spades=0.139

4 0
3 years ago
The width of a box is two-third of it's length and height is one-third of it's length.If the volume of the box is 384 cubic mete
Black_prince [1.1K]

Answer:

Length = 12

Width = 8

Height = 4

Step-by-step explanation:

Let length of box = l

Width = 2/3 * l

Height = 1/3 * l

Volume of the box = 384 ft³

Volume = Length * width * height

Volume of box = l * 2/3 l * 1/3 l

384 = 2l³ / 9

384 * 9 = 2l³

3456 = 2l³

l³ = 3456 / 2

l³ = 1728

Take the Cube root of 1728

l = 12

Length = 12

Width = 2/3 * 12 = 8

Height = 1/3 * 12 = 4

5 0
3 years ago
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Step2247 [10]

Answer:

A = 297\pi

Step-by-step explanation:

To solve this problem we need to be familiar with the formula for the surface area of a cone:

A = \pi r(r + \sqrt{h^2+r^2})

We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:

r = \frac{d}{2}\\r = \frac{18}{2}\\r = 9 cm

To calculate the height of the cone, we must use the Pythagorean Theorem:

C^2 = A^2 + B^2

We can treat the side length as the hypotenuse C, the radius as the base A, and solve for height B. Set the expression up like this:

C^2 = A^2 + B^2\\24^2 = 9^2 + B^2\\B^2 = 24^2 - 9^2\\B = \sqrt{24^2 - 9^2}\\B = \sqrt{576 - 81}\\B = \sqrt{495}\\B \approx 22.25

Now we can plug into our original formula:

A = \pi r(r + \sqrt{h^2+r^2})\\A = \pi 9(9+\sqrt{\sqrt{495}^2+9^2}\\A = \pi 9(9+\sqrt{495 + 81}\\A = \pi 9(9+\sqrt{576})\\A = \pi 9(9 + 24)\\A = \pi 9(33)\\A = 297\pi

5 0
2 years ago
Which property is demonstrated in the equation 21×0=0 ?
attashe74 [19]

Property of Zero because anything multiplied by 0 equals 0. If this is right could I possibly have brainliest? Hope this helped!! :)

7 0
3 years ago
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