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Gwar [14]
3 years ago
8

A fair die is rolled once. Let A be the event of rolling an even number, and let B be the event of rolling a number greater than

3. Find A ∩ B
Mathematics
1 answer:
IRISSAK [1]3 years ago
3 0

Answer:

A ∩ B = {4, 6}

Step-by-step explanation:

A die had 6 faces

S = {1, 2, 3, 4, 5, 6}

If A  be the event of rolling an even number, then;

A = {2, 4, 6}

If B be the event of rolling a number greater than 3, then;

B = {4, 5, 6}

A ∩ B are the values that are common to both sets

A ∩ B = {4, 6}

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An architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an
VMariaS [17]
We know that
scale factor=1 in/7.5 ft
scale factor=measurements   on the blueprint/measurements <span> in the actual
</span>measurements on the blueprint=[measurements  in the actual*scale factor]
so

for 18 ft
measurements on the blueprint=[18 ft*(1 in/7.5 ft)-----> 2.4 in

for 16 ft
measurements on the blueprint=[16 ft*(1 in/7.5 ft)-----> 2.1 in

the dimensions on the blueprint are
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7 0
3 years ago
An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet. If the pool is fill
laila [671]

The volume of a cylinder is

                                   (pi) (radius²) (height) .

Radius = 1/2 diameter.
Radius of this pool = (1/2) (18 ft) = 9 ft

The pool is a cylinder with height of 4.5 feet. 
The water in it is also a cylinder, but only 4 ft high.

Volume of the water =

             (pi) x (radius²) x (height)

         =  (pi)  x  (9 ft)²  x  (4 ft)

         =  (pi)  x  (81 ft²)  x  (4 ft)

         =  (pi)  x  (324 ft³)  =  1,017.9 ft³ .

7 0
3 years ago
Read 2 more answers
Slope of (16, 8) (8, 4)
Tom [10]

Answer:

slope of (16,8) (8,4) is 1/2

8 0
3 years ago
What is the value of x?
vitfil [10]

Answer:

x = 27

Step-by-step explanation:

Based on the angle bisector theorem, we would have the following:

(x + 8)/10 = (2x - 5)/14

Cross multiply

14(x + 8) = 10(2x - 5)

14x + 112 = 20x - 50

Collect like terms

14x - 20x = -112 - 50

-6x = -162

Divide both sides by -6

-6x/-6 = -162/-6

x = 27

8 0
3 years ago
The graph shows the relationship between time
jekas [21]

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

(\stackrel{x_1}{4}~,~\stackrel{y_1}{64})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{96}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{96}-\stackrel{y1}{64}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{4}}}\implies \cfrac{\stackrel{bottles}{32}}{\underset{mins}{2}}\implies \cfrac{\stackrel{bottles}{16}}{\underset{mins}{1}}

3 0
3 years ago
Read 2 more answers
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