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3 years ago

4. Alistair has an infinite number of bags numbered 1, 2, 3, 4... Each bag

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

3 0

Answer:

Step-by-step explanation:

One infinity cannot be larger than another

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Required information NOTE: This is a multi-part . Once an answer is submitted, you will be unable to return to this part A club

algol13

Answer:

491400

Step-by-step explanation:

Given : A club has 28 members.

To Find : . How many ways are there to choose four members of the club to serve on an executive committee?

Solution:

We are supposed to choose four members of the club out of 28.

So, we will use combination

Formula : $^nC_r=\frac{n!}{r!(n-r)!}$

n = 28

r = 4

Substitute the values :

$^{28}C_{4}=\frac{28!}{4!(28-4)!}$

$^{28}C_{4}=\frac{28 \times 27 \times 26 \times 25 \times 24!}{4!(24)!}$

$^{28}C_{4}=\frac{28 \times 27 \times 26 \times 25 \times 24}{4 \times 3 \times 2 \times 1}$

$^{28}C_{4}=491400$

Hence there are 491400 ways o choose four members of the club to serve on an executive committee

8 0

3 years ago

Please answer all parts as I know the answers but need the work to go with them. Thus, I believe the above answers are correct.

vampirchik [111]

As the sample size n is less than 30 normal distribution is used.

The values of x are converted into z by using the formula z= x-u/ s and then the z values are found out from the table.

The limits are found by using the formula x±σz or x±sz where s= σ

As the sample size is 10 which is less than 30 the normal distribution is used.

The probability of x< 2.59 is 0.3446

The probability 2.60<X <2.63 is 0.9484

So lower and upper limits are 2.607 and 2.612

Part A

As the sample size is 10 which is less than 30 the normal distribution is used.

Part B

For given value of x= 2.59 z is obtained =0.4

x= 2.59

z= x-u/ s

z= 2.59-2.61/0.05

z= -0.02/0.05

z=- 0.4

P (X<2.59) = P(-0.4 <Z<0) = 0.5 -0.1554= 0.3446

The probability of x< 2.59 is 0.3446

Part C

For two given values of x= 2.60 and 2.63 z is obtained as =0.2 and 0.4

x1= 2.60

z1= x-u/ s

z= 2.60-2.61/0.05

z= -0.01/0.05

z=- 0.2

x2= 2.63

z2= x-u/ s

z= 2.63-2.61/0.05

z= 0.02/0.05

z= 0.4

P (2.60<X<2.63) = P(-0.2 <Z<0.4)

= P(-0.2 <Z<0)+ P(0 <Z<0.4)

=0.793 + 0.1554= 0.9484

The probability 2.60<X <2.63 is 0.9484

Part D"

p= 0.57

From the table z= 0.045

z= x-u/ s

zs= x-u

zs+u = x

x1= 0.045*0.05 +2.61= 2.61225

x2= 2.61- 0.00225= 2.60775

So lower and upper limits are 2.607 and 2.612

For further understanding of probability calculation click

brainly.com/question/25638875

#SPJ1

8 0

2 years ago

Pls help i will give u brianliest

Fynjy0 [20]

Answer:

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

Step-by-step explanation:

We can take any two input-output pairs from the table to find the equation of given function.

Linear function is given by:

$y =mx+b$

Here m is the gradient of the functions which is defined as:

$m = \frac{rise}{run} = \frac{y_2-y_1}{x_2-x_1}$

The input-output pairs are:

(x1,y1) = (-1,-1)

(x2,y2) = (0,-4)

First of all,

$m = \frac{-4-(-1)}{0-(-1)}\\= \frac{-4+1}{1} = -3$

Putting the value of slope in the equation

$y = -3x+b$

Putting (-1,-1) in the equation

$-1 = -3(-1)+b\\-1 = 3+b\\b = -1-3\\b = -4$

The equation will be:

$y = -3x-4$

Hence,

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

7 0

3 years ago

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeee

Gala2k [10]

Answer:

With all or just 1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A number is 4 hundred more than 14 2 . what is the number?

egoroff_w [7]

$n=number \\ \\ n=400+142 \\ \\ n=542$

7 0

3 years ago