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julia-pushkina [17]
3 years ago
13

Help I don't understand I need the answer wuick

Mathematics
1 answer:
aksik [14]3 years ago
6 0
Answer is 14 I think pretty sure hope so yeah
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A bicycle lock has a four-digit code. The possible digits, 0 through 9, cannot be repeated. What is the probability that the loc
kozerog [31]
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.

so 

P(first digit is five)=\frac{n(first -digit- is- 5)}{n(all-codes)}= \frac{1*9*8*7 }{10*9*8*7 }= \frac{1}{10}=0.1

b. <span>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</span>
4 0
3 years ago
Read 2 more answers
14. Use the given degree of confidence and Sample data to construct a confidence interval for the population mean. Assume that t
nirvana33 [79]

Step-by-step explanation:

Confidence interval = mean ± margin of error

CI = μ ± ME

The mean is μ = 8.7.

Margin of error = critical value × standard error

ME = CV × SE

At 95% confidence and 9 degrees of freedom, CV = 2.262.

SE = s / √n

SE = 3.3 / √10

SE = 1.04

The margin of error is:

ME = 2.262 × 1.04

ME = 2.36

CI = 8.7 ± 2.36

CI = (6.34, 11.06)

7 0
3 years ago
Allyson Greve has calculated her federal taxable income to be $45,300. She pays a state income tax rate of 3% on her federal tax
valentinak56 [21]

Answer:

1,359

Step-by-step explanation:

3% of 45,300 is 1,359

4 0
3 years ago
A wall is 20 feet long and requires 1,470 bricks to build. How high is the wall?
Arte-miy333 [17]

Answer: The height of wall is 10.5 feet.

Step-by-step explanation:

Since we have given that

Number of bricks to build = 1470

Length of wall = 20 feet

We need to find the height of wall.

As we know that

Bricklayer's formula is given by

N=7LH\\\\1470=7\times 20\times H\\\\1470=140\times H\\\\\dfrac{1470}{140}=H\\\\10.5\ ft=H

Hence, the height of wall is 10.5 feet.

3 0
3 years ago
total amount = P (1 + i)t What is the total amount that First Consumer Bank will receive after lending Jane $7,000 for three yea
ICE Princess25 [194]
P= principal (initial deposit) ($7000)
i= interest (5%)
t= # of years (3)

Total amount = P (1 + i)^t
T= $7000(1 + 5%)^3
T= 7000(1.05)^3
multiply exponents before regular multiplication
T= 7000(1.157625)
Total= $8,103.38 after 3 years

Hope this helps! :)
6 0
3 years ago
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