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Given that for simplicity that the number of children in a family is 1, 2, 3, or 4, with probability 1/4 each. Little Joe (a boy

horsena [70]

Answer: $\dfrac{1}{4}$

Step-by-step explanation:

Given : The number of children in a family is 1, 2, 3, or 4.

Little Joe (a boy) has no brothers. But he may have sisters.

The sample space for the number of child in Joe's family : {B, BG, BGG, BGGG}, where G represents girl and B represents boys.

Then , for the probability that he is an only child, favorable outcome = B

Thus, the probability that he is an only child is given by :-

$=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}=\dfrac{1}{4}$

Hence, the probability that he is an only child = $\dfrac{1}{4}$

5 0

3 years ago

If a is an odd number, b is not divisible by 3 and LCM of a and b is P, what is the LCM of 3a and 2b?

Olenka [21]

Answer:

The LCM of 3a and 2b = 6P

Step-by-step explanation:

LCM of 3 a and 2 b will be 6 p

Since a is odd, which means it's not divisible by 2. Therefore a can be number 1, 3, 5, 7, 9, 11, .......

b is not divisible by 3, which means b can be number 1, 2, 4, 5, 7, 8, 10, 11, .....

LCM of a and b is P

Factors of 2b can be 2 multiplied by (1, 2, 4, 5, 7, 8, 10, 11, ..... )

Factors of 3a can be 3 multiplied by (1, 3, 5, 7, 9, 11, .......)

So, to get the LCM of 3a and 2b, since we already show the factors of a and b, Then, 3 X 2 X P (remember P is the LCM of a and b)

The LCM of 3a and 2b = 6P

3 0

3 years ago

A football team scored fewer than 16 points in Saturday’s game. Than wants to write an inequality for the number of points. He u

Arada [10]

C- the number of points scored by the team

6 0

3 years ago

Read 2 more answers

A vertical pole 6 feet long casts a shadow 55 inches long. Find the angle of elevation of the sun. Draw a diagram and find the a

ivolga24 [154]

A vertical pole(AB) 6 feet long casts a shadow(CB) 55 inches long as shown in the attached image. Since the angle of elevation of sun is $\angle C$ . We hav to find the value of $\angle C$ .

Firstly, we will change the dimensions of pole(in feet) to the dimension of shadow( in inches) . So, that the dimensions of pole and shadow are same.

Since, 1 feet = 12 inches.

6 feet = $6 \times 12 = 72$ inches.

Now, let us consider the triangle ABC in the attached image,

We have to find $\angle C$

$tan\Theta =\frac{Perpendicular}{base}$

$\tan C$ = $\frac{AB}{BC}= \frac{72}{55}$

= 1.309

$= 52.6^{\circ} = 53^{\circ}$

8 0

4 years ago

Read 2 more answers

Solve the problem By using area models Problem: shereen 119 books into 7 even piles .How many books did shereen put in each pile

goblinko [34]

Answer:

the 17 books should be put in each pile

Step-by-step explanation:

The computation of the number of books in each pile is shown below:

Given that

There are 119 books

And there are 7 piles

So, the number of books in each pile is

= 119 books ÷ 7 piles

= 17 books

Hence, the 17 books should be put in each pile

So the same is to be conisdered and relevant too

4 0

3 years ago