Determine the values of A and B in each of the following

Mathematics

1 answer:

wolverine [178]2 years ago

4 0

Answer:

14 12 13 13 14 15 14 16 ,14 134444

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A bicycle lock has a four-digit code. The possible digits, 0 What is the probability that the lock code will begin with

nika2105 [10]

Answer:

0.1-0.6

Step-by-step explanation:

First let's find the number of the elements in the sample space, that is the total number of codes that can be produced.

The first digit is any of {0, 1, 2...,9}, that is 10 possibilities

the second digit is any of the remaining 9, after having picked one.

and so on...

so in total there are 10*9*8*7 = 5040 codes.

a. What is the probability that the lock code will begin with 5?

Lets fix the first number as 5. Then there are 9 possibilities for the second digit, 8 for the third on and 7 for the last digit.

Thus, there are 1*9*8*7=504 codes which start with 5.

P(first digit is five)=

b. What is the probability that the lock code will not contain the number 0?

from the set {0, 1, 2...., } we exclude 0, and we are left with {1, 2, ...9}

from which we can form in total 9*8*7*6 codes which do not contain 0.

P(codes without 0)=n(codes without 0)/n(all codes)=(9*8*7*6)/(10*9*8*7)=6/10=0.6

Answer:

0.1 ; 0.6

8 0

3 years ago

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A cone has a radius of 3 and a height given by the expression 2a. Which expression represents the volume of the cone?

DiKsa [7]

V=(1/3)hπr^2 where h=height and r=radius
given
radius=3
height=2a

r=3
h=2a

v=(1/3)hπr^2
v=(1/3)(2a)π(3)^2
v=(1/3)2aπ9
v=6aπ

so the expression would be some variaant of v=6aπ

5 0

3 years ago

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What sample size would you need in order to have a 94% confidence interval that is 8% wide? Do this calculation twice: once with

balu736 [363]

U would need 25% to equal wide

3 0

3 years ago

Rebecca needs 10 ½ yards of fabric to make a quilt. She has one piece of fabric that is 2 ½ yards and another piece of fabric th

muminat

Answer:

3 $\frac{3}{4}$ yards of fabric

Step-by-step explanation:

In order to solve this problem, we should first make all of the fractions have common denominators. To do so we can turn the 1/2s into 2/4 which both equal 0.5 or 50%. Now we simply need to add together the pieces of quilt that she has and subtract that value from the total that she needs in order to calculate the amount of quilt that she is missing.

10 $\frac{2}{4}$ - (2 $\frac{2}{4}$ + 4 $\frac{1}{4}$ ) = x