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the number of the students of a school was 640 last year and it is 800 by how many percent is the number increased

yuradex [85]

Answer:

The number of students would have increased by 25%.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

What is the area of a sector that has a radius of 25 mm and has an angle measure of 50°?

Nimfa-mama [501]

The area of the sector is 86.81π mm²

<u>Explanation:</u>

Given:

Radius of the sector, 25mm

Angle, α = 50°

Area of the sector, A = ?

We know:

Area of the sector = $\frac{\alpha }{360} X \pi r^2$

On substituting the value, we get:

$A = \frac{50}{360} X \pi X (25)^2\\\\A = 86.81 \pi mm^2$

Therefore, the area of the sector is 86.81π mm²

3 0

3 years ago

Micah walks on a treadmill at 4 miles per hour. He has walked 2 miles

lana66690 [7]

<span>Let time taken by Luke to cover the distance = x hours Speed of Luke = 6 miles per hour Therefore, Distance covered by Luke = 6x ------(1) Speed of Micah = 4 miles per hour Since Micah walked 2 miles before Luke started running, Luke started 1/2 an hour after Micah started. Therefore time taken by Micah to cover the distance = x+1/2 Distance covered by Micah = 4(x + 1/2) -------(2) Equating (1) and (2) 6x = 4(x+1/2) 6x = 4x +2 2x = 2 x= 1 Therefore Luke would take 1 hour to cover the distance covered by Micah.</span>

6 0

3 years ago

What is the solution set of the equation X/5 + x/2 =14?

JulijaS [17]

Answer:

x= 20

Step-by-step explanation:

Solve for x:

(7 x)/10 = 14

Multiply both sides of (7 x)/10 = 14 by 10/7:

(10×7 x)/(7×10) = 10/7×14

10/7×7/10 = (10×7)/(7×10):

(10×7)/(7×10) x = 10/7×14

10/7×14 = (10×14)/7:

(10×7 x)/(7×10) = (10×14)/7

(10×7 x)/(7×10) = (7×10)/(7×10)×x = x:

x = (10×14)/7

14/7 = (7×2)/7 = 2:

x = 10×2

10×2 = 20:

Answer: x = 20

7 0

3 years ago

A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery servic

sineoko [7]

Answer:

55.32% probability that a late package was delivered by express delivery service 2

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Late delivery.

Event B: Service 2 was used.

A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery service 2.

100 - 35 = 65%.

So $P(B) = 0.65$

Service 2 has a record of 2.0% of packages being delivered late.

This means that $P(A|B) = 0.02$

Probability of a late delivery.

35% from service 1. Of those, 3% are late.

65% from service 2. Of those, 2% are late.

So

$P(A) = 0.35*0.03 + 0.65*0.02 = 0.0235$

What is the probability that a late package was delivered by express delivery service 2

$P(B|A) = \frac{0.65*0.02}{0.0235} = 0.5532$

55.32% probability that a late package was delivered by express delivery service 2

5 0

3 years ago