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nekit [7.7K]
2 years ago
9

Sixty percent of the students at a certain school wear neither a ring nor a necklace. Twenty percent wear a ring and 30 percent

wear a necklace. If one of the students is chosen randomly, what is the probability that this student is wearing (a) a ring or a necklace?

Mathematics
1 answer:
Reptile [31]2 years ago
7 0

Answer:

0.4

Step-by-step explanation:

Given

60 % wear neither ring nor a necklace

20 % wear a ring

30 % wear necklace

This question can be Solved by using Venn diagram

If one person is choosen randomly  among the given student the probability that this student is wearing a ring or necklace is

P\left ( wear \ ring\ or \ necklace )+P\left ( neither\ ring\ or\ necklace)=1

P\left ( wear \ ring\ or\ necklace )=1-0.6=0.4

The sum of probabilty is equal to 1 because it completes the set

Therefore the required probabilty is 0.4

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A rectangular room has a width of 5 yards and length of 6 yards. How many square-feet carpet will be required for carpeting the
Sindrei [870]

Answer:

Option B 270\ ft^{2}

Step-by-step explanation:

we know that

The area of the rectangle room, is equal to

A=LW

where

L is the length

W is the width

we have

L=6\ yd

W=5\ yd

Remember that

1 yard= 3 feet

Convert yards to feet

L=6*3=18\ ft

W=5*3=15\ ft

The area is equal to

A=(18)(15)=270\ ft^{2}

4 0
2 years ago
. A density curve consists of the line segment connecting the points (0,1) and (0.5,1) and the segment connecting (0.5, 1) to th
Marat540 [252]

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8 0
2 years ago
If sin(2x + 7) = cos(4x - 7)º, what is the value of x?​
ella [17]

Answer:

x = 15°

Step-by-step explanation:

<u>We are given;</u>

sin(2x + 7) = cos(4x - 7)

We are required to solve for the value of x

  • We need to know that for complementary angles;

Sin θ = Cos (90-θ) where, θ  and 90-θ are complementary angles.

  • Complementary angles are angles that add to 90°
  • Therefore;

(2x +7) + (4x - 7) = 90

 6x = 90

   x = 15°

Therefore, the value of x is 15°

6 0
2 years ago
Write a real world problem that can be represented by the equation 3/4c=21
Black_prince [1.1K]

Answer: Real world problem is "A student have c toffee he distribute \frac{3}{4}th part of those toffees to his friends. He gave total 21 toffees to his friend".

Explanation:

Let a student have c number of toffees in his bag.

It is given that he distribute \frac{3}{4}th part of those toffees to his friends.

The \frac{3}{4}th part of c toffees is,

\frac{3c}{4}

The total number of distributed toffees is 21.

\frac{3c}{4}=21

It is the same as given equation.

If we change the equation in words it means the \frac{3}{4}th part of a number c is 21.

4 0
2 years ago
Read 2 more answers
ou have two parents, four grandparents, eight great-grandparents, and so forth. (a) If all your ancestors were distinct, what wo
Maslowich

Answer:

Part A:

2^{40}-2\\=1.0995*10^{12} ancestors

Part B:

Generations Age=25*39=975 years

Part C:

  1. Some ancestors on different branches of the family tree must be the same.
  2. There could not have been 39 generations in my line of ancestry.

Step-by-step explanation:

Given Data:

Two Parents, Four Grand Parents, Eight great Grand Parents.

Generation=39

Solution:

Part A:

From given data Following series is made:

2+2^2+2^3+.........+2^{39}

Now, Above series will become:

2[1+2+2^2+......+2^{38}]

From geometric Sequence:

2[\frac{2^{38+1}-1}{2-1} ]

2^{40}-2\\=1.0995*10^{12} ancestors

Part B:

Generations Age=years*Number of generations

Generations Age=25*39=975 years

Part C:

Number of people lived= 10^11

Ancestors=1.0995*10^{12} ancestors

10^{11}

It means ancestors are not distinct, it means:

  1. Some ancestors on different branches of the family tree must be the same.
  2. There could not have been 39 generations in my line of ancestry.
5 0
2 years ago
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