Please help me with this homework

A survey of the readers of three daily news papers; Nation, standard and Kenya times showed the following results. i) A total of

daser333 [38]

N(N ∩ S ∩ K) = 10
n(ξ) = 250
n(S ∪ K) = 15 - 10 = 5
n(N ∪ S) = 20 - 10 = 10
n(N ∪ K) = 30 - 10 = 20
n(S) = 50 - 10 - 5 - 10 = 25
n(K) = 55 - 20 - 5 - 10 = 20
n(N) = 100 - 10 - 20 - 10 = 60

n(N ∪ S ∪ K) = 10 + 5 + 10 + 20 + 25 + 20 + 60 = 150

Therefore, n(N ∪ S ∪ K)' = 250 - 150 = 100

Therefore, 100 million people do not read any of the three papers.

7 0

2 years ago

A display case of glitter stickers are marked 15 for $2. If Cathy wants to buy 30 glitter stickers, how much will Cathy spend?

WARRIOR [948]

Answer:

$4, 15 x 2=30

2 x 2=4

6 0

2 years ago

Read 2 more answers

Express 120 as a product of its prime factors.

raketka [301]

By the Fundamental Theorem of Arithmetic, all number can be expressed as a product of prime numbers.

So naturally, lets divide 120 by an easy prime number.
We know that 120 is even, so lets try 2 120/2 = 60 lets keep dividing it by two until it becomes odd or prime 60/2 = 30 30/2 = 15 now lets see, what are some factors of 15?

Well the obvious ones are 3 and 5, both of which are prime. So now we can just count up how many times we divided it by 2

120/2 = 60 60/2 = 30 30/2 = 15 and 15 is just 3 x 5, so: 
120=(23)×(3)×(5)
or 
120 = 2 × 2 × 2 × 3 × 5

7 0

2 years ago

Read 2 more answers

Find the area of the triangle with the given measurements. A = 48°, b = 30 ft, c = 14 ft

Mariulka [41]

Answer:

156.06 ft²

Step-by-step explanation:

The applicable formula for the area of the triangle is ...

Area = (1/2)bc·sin(A)

Filling in the given numbers, you have ...

Area = (1/2)(30 ft)(14 ft)·sin(48°) ≈ 156.06041335 ft²

The area of the triangle is about 156.06 square feet.

_____

Sufficient digits are provided here so that you can round to the precision you (or your computer) may desire.

3 0

3 years ago

A park in the shape of quadrilateral PQRS is bordered by four sidewalks. Find the measure of each

kykrilka [37]

Answer:

135°, 63°, 63°, 99°

Step-by-step explanation:

Find attached the diagram used in solving the question.

We would use formula for sum of interior angles to get each exterior angle.

From the diagram, we added additional variables to be able to solve for sum of interior angles.

Sum of angle on a straight line = 180°

a° +15z° = 180°

b° +7z° = 180°

c° +7z° = 180°

d° +11z° = 180°

Where a,b,c and d are interior angles

Sum of interior angles = 180(n-2)

n = number of sides

For quadrilateral, n= 4

a°+b°+c°+d° = 180(n-2)

180-15z +180-7z+180-7z+180-11z = 180(4-2)

720-40z = 180(2)

720 - 360 = 40z

z = 360/40

z = 9

Each exterior angle:

15z = 15×9 = 135°

7z = 7×9 = 63°

11z = 11×9 = 99°

8 0

2 years ago