All categories

2 years ago

Randomly distributing 45 pencils and 35 markers to his students. what is the probability that the first item he hands out will

Mathematics

1 answer:

Dominik [7]2 years ago

3 0

If he hands out pencils will be 45/80 =
If he hands out markers will be 35/80

You might be interested in

What is the value of x:

notsponge [240]

Answer:

100

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is always larger than either of the legs by a factor of $\sqrt{2}$ . x is therefore:

$100\sqrt{2}\div \sqrt{2}=100$

Hope this helps!

6 0

3 years ago

a square field has a side 150 m long .There is a road 5 m wide all around the park outside it .Find the cost of constructing the

alisha [4.7K]

Answer:

Cost to construct the road = 775000 rupees

Step-by-step explanation:

Square field has a side = 150 m

Area of the field = (Side)²

= (150)²

= 22500 m²

Length of the park with road around the field = 150 + 2×(width of the road)

= 150 + (2×5)

= 160 m

Similarly, width of the park with road around the field = 160 m

Area of the park with road = (Side)²

= (160)²

= 25600 m²

Area of road = Area of the park with road - Area of the park

= 25600 - 22500

= 3100 m²

Since, cost of constructing the road = 250 rupees per square meter

Cost to construct the road with the given area = 250 × 3100

= 775000 rupees

6 0

2 years ago

Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of 29$. For any minutes over 250 tracy us

iVinArrow [24]

Answer:

Since Tracy is charged $29 for 250 free minutes so:

For x ≤ 250, f(x) = $29

tracy is charged an extra $0.35 per minute for calls over 250 minutes, so:

For x ≥ 250, f(x) = 29 + 0.35(x - 250)

7 0

2 years ago

5/1/10x - 6/4/5 = 3/1/4

emmasim [6.3K]

I think the answer is A

8 0

3 years ago

Read 2 more answers

The angles in a triangle are in the ratio 1:2:3. Show that this triangle is a right-angled triangle. The hypotenuse of the trian

natita [175]

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio , 1 + 2 + 3 = 6 parts

Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Since there is an angle of 90° then the triangle is right.

(b)

The shortest side is the side opposite the smallest angle of 30°

Using the sine ratio and the exact value

sin30° = $\frac{1}{2}$ , then

sin30° = $\frac{opp}{hyp}$ = $\frac{opp}{19}$ = $\frac{1}{2}$ ( cross- multiply )

2 opp = 19 ( divide both sides by 2 )

opp = 9,5

Shortest side in the triangle is 9.5 cm

6 0

2 years ago