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3 years ago

A box contains 5 red marbles, 6 white marbles, and 4 blue marbles. find p(red or blue)

Mathematics

2 answers:

vladimir1956 [14]3 years ago

5 0

That is what i think is the right answer.

9/15=3/5

Stells [14]3 years ago

3 0

for the red it is 5out of 15 or 3/5

and for the blue it is 4/15

and if it wants it together it is 9/15 or 3/5

hope this helps

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3 years ago

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Step-by-step explanation:

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Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi

ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles carry just one person.

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

$P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291$

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

$\mu = np = 92(0.64) = 58.88$

$\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60$

We have to evaluate the probability that more than 47 cars carry just one person.

$P(x \geq 47)$

After continuity correction, we will evaluate

$P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)$

$= 1 - P(z \leq -2.6913)$

Calculation the value from standard normal z table, we have,

$P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%$

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0

3 years ago

Please help me i dont know what the answer is ??

Assoli18 [71]

To answer this, we need to use the rules of geometric shapes. An equilateral triangle is equiangular, meaning all its angle measures are equal. Since all triangles' angles add up to 180°, simply divide 180 by three to find the angle measure of each angle:
$\frac{180}{3} = 60$
Therefore, the measure of the triangle's angle is 60°

Next, we know that a characteristic of a rectangle is that each angle must be a right angle, or an angle with a measure of 90°.

Now, all we have to do is use the sum of all the angle measures to figure out the missing piece:
$90=x+60+12 \\ 90=x+72 \\ 90-72=(x+72)-72 \\ 18=x$

The missing angle measure, angle x, equals 18°.

Hope this helps!

7 0

3 years ago