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2 years ago

Find the probability.

Mathematics

1 answer:

kvv77 [185]2 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 person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

3 years ago

Divid 15 into two parts such that the sum of their reciprocal is 3/10

Klio2033 [76]

From the information obtained from the question, two equations can be created:

Let x and z be the two numbers (parts)

$\frac{1}{z} + \frac{1}{x} = \frac{3}{10}$ . . . . (1)

$z + x = 15$ . . . . (2)

By transposing (2), make 'z' the subject of the equation
$z = 15 - x$ . . . . (3)

By substituting (3) into equation (1) to find a value for x
$\frac{1}{(15 - x)} + \frac{1}{x} = \frac{3}{10}$

$\frac{15}{( 15 - x ) ( x )} = \frac{3}{10}$

$3 ( - x^{2} + 15 x ) = 150$

$3 x^{2} - 45x + 150 = 0$

⇒ $( x - 5 ) ( x - 10 ) = 0$

∴ either $( x - 5) = 0$ OR $( x - 10 ) = 0$

Thus x = 5 or x = 10

By substituting the values of x into (2) to find z

z + (5) = 15 OR z + (10) = 15

⇒ z = 10 OR z = 5

So, the two numbers or two parts into which fifteen is divided to yield the desired results are 5 and 10.

5 0

3 years ago

The distance between the points (7,2) and (7 –9)

Angelina_Jolie [31]

The distance between both points is 11

6 0

3 years ago

5/8 didved by 1/4 plz help me with this

Vedmedyk [2.9K]

Answer:

The answer is 2.5 or 5/2 as a fraction.

Step-by-step explanation:

P.S Can I have brainliest?

5 0

3 years ago

Read 2 more answers

In a card game it is possible to have negative score. If Laura starts with a score is 10 what will be her new score if she loses

Ilya [14]

Answer:

Step-by-step explanation:

10-38=28

$&#:÷&#&;#&$;'ebsjdkeowkdbs;#&$;'fbxjrbxjr

4 0

3 years ago