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lara31 [8.8K]
3 years ago
6

How many different committees can be formed from 8 teachers and 48 students if the committee consists of 3 teachers and 4 ​stude

nts?
Mathematics
2 answers:
valkas [14]3 years ago
6 0
As many as you'd like
drek231 [11]3 years ago
6 0
Since we don't care about the order in which we select people, we will use the combinatoric approach, rather than permutations.
Since we want to select 3 teachers from a total of 8, this is the notation to select 3 teachers from 8 (objects).

Teachers : ^{8}C_3
Similarly, students : ^{48}C_{4}

Now, since we want both at the same time, we will need to multiply both to yield your final answer: ^{8}C_3 \cdot ^{48}C_{4} = 10,896,480 different ways.
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Find the surface area of a cylinder with a height of 7 m and a base radius of 5 m.
nekit [7.7K]

Answer: 376.8m

Step-by-step explanation:

Total surface area of a cylinder is calculated by 2πrh+2πr2, where π is a constant, given as 3.14, h is the height= 7m and r is radius= 5m

rh = 5m x 7m = 35m while

r^2 = 5m x 5m = 25m

Slot the values into the formula:

V = 2 x 3.14 ( 35) + 2 x 3.14 (25)

V= (6.28 x 35) + (6.28 x 25)

= 219.8 + 157

V= 376.8m

I hope this helps.

5 0
4 years ago
Read 2 more answers
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the la
Lady bird [3.3K]

Answer:

applying trigonometry

base= 30inches

height= 50inches

angle between ladder and ground = 59.04°

for the length of the ladder...

sin59.04 = opposite side ÷ hypotenuse

sin59. 04 = 50inches ÷ hypotenuse

0.8575 = 50 inches ÷ hypotenuse

cross multiply;

hypotenuse = 50inches ÷ 0.8575

the length of the ladder = 58.309inches

4 0
3 years ago
Suppose it is known that 10% of all people in Texas have a specific blood type. Suppose we take a random sample of 500 Texas res
Mila [183]

Answer:

a) 50

b) 6.71

c) 0.0681

Step-by-step explanation:

check the attached file below

5 0
4 years ago
How does the variable of Data Set A compare to the variability of Data Set B? Data Set A: 18, 24, 29, 30, 39 Data Set B: 26, 29,
GREYUIT [131]

Answer:

Data set B has a higher range than data set A and thus B has a higher degree of variability than A.

Step-by-step explanation:

There are several measures of variability in Statistics among them being;

The range

The inter-quartile range

Variance and standard deviation

To compare the variability of two or more sets of data, we can compute any of the above measures of dispersion and compare them across the various data sets.

In this question we have been given two data sets;

Data Set A: 18, 24, 29, 30, 39

Data Set B: 26, 29, 39, 40, 52

The simplest measure of variability or dispersion is the range. The range is defined as the difference between the maximum and the minimum values in a data set.

The range of data set A is; 39 - 18 = 21

The range of data set B is; 52 - 26 = 26

Data set B has a higher range than data set A and thus B has a higher degree of variability than A.

5 0
3 years ago
Find the average rate of change over the interval 7 less than or equal to X less than or equal to 10, of the function defined by
Svetradugi [14.3K]

Answer:

B. 17

Step-by-step explanation:

The average rate of change is:

m_avg = (y₂ − y₁) / (x₂ − x₁)

m_avg = (100 − 49) / (10 − 7)

m_avg = 17

7 0
4 years ago
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