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2 years ago

The diagram shows a tile in the shape of a trapezium.

Mathematics

1 answer:

Ann [662]2 years ago

5 0

Answer:

286cm²

Step-by-step explanation:

Let the parallel sides be 12cm and 10cm

Height h = 26cm

Area of a trapezium = 1/2(a+b) * h

Area of a trapezium = 1/2(12+10)* 26

Area of a trapezium = 1/2(22)*26

Area of a trapezium = 11 * 26

Area of a trapezium = 286cm²

Hence the area of the tiles is 286cm²

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In a statistics mid-term exam graded out of 100 points, the distribution of the exam scores was bi-modal with a mean of 70 point

Mnenie [13.5K]

Answer:

Step-by-step explanation:

Assuming a normal distribution for the distribution of the points scored by students in the exam, the formula for normal distribution is expressed as

z = (x - u)/s

Where

x = points scored by students

u = mean score

s = standard deviation

From the information given,

u = 70 points

s = 10.

We want to find the probability of students scored between 40 points and 100 points. It is expressed as

P(40 lesser than x lesser than or equal to 100)

For x = 40,

z = (40 - 70)/10 =-3.0

Looking at the normal distribution table, the corresponding z score is 0.0135

For x = 100,

z = (100 - 70)/10 =3.0

Looking at the normal distribution table, the corresponding z score is 0.99865

P(40 lesser than x lesser than or equal to 100) = 0.99865 - 0.0135 = 0.98515

The percentage of students scored between 40 points and 100 points will be 0.986 × 100 = 98.4%

4 0

3 years ago

Read 2 more answers

At Cindy's birthday each guest will get one-third of a medium sized pizza. There will be 12 people at the party, including Cindy

tiny-mole [99]

Answer: 4 pizzas

Step-by-step explanation:

There are to be 12 people at the party.

Each person is expected to take 1/3 of a pizza.

The total number of pizza needed is therefore:

= No. of people * quantity of pizza

= 12 * 1/3

= 4 pizzas

<em>Note: Answer would be 6 if each guest wanted 1/2 of a pizza. </em>

3 0

2 years ago

What is 2×3(10)^-5 in standard form

Sindrei [870]

2×3(10)^{-5}=6×(10)^-5= $\frac{6}{10^5} =0.00006$

5 0

3 years ago

let X represent the amount of time till the next student will arriv ein the library partking lot at the university. If we know t

AlekseyPX

Answer:

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean of 4 minutes

This means that $m = 4, \mu = \frac{1}{4} = 0.25$

Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:

This is:

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)$

In which

$P(X \leq 132) = 1 - e^{-0.25*132} = 1$

$P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469$

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531$

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

4 0

2 years ago

Suppose 4/5 of a different box of oranges weighs 8 pounds how many pounds of oranges are in the full box

romanna [79]

Answer:

Step-by-step explanation:

if you take 8 and divide it by 4 you get 2 meaning that each fifth is 2 pounds. if there are 5/5 that means there are 10 pounds

8 0

3 years ago