Answer: 0.3439
Step-by-step explanation:
Given :The last four digits for telephone numbers are randomly selected (with replacement).
Here , each position can be occupied with any of the digit independently .
Total digits = 10
Total digits other than 0 = 9
For each digits , the probability that it is not 0 = 
If we select 4 digits , The probability of getting no 0 =
(By multiplication rule of independent events)
Now , the probability that for one such phone number, the last four digits include at least one 0. = 1- P(none of them is 0)
=1- 0.6561=0.3439
Hence, the probability that for one such phone number, the last four digits include at least one 0. is 0.3439 .
Answer:
Equation: $83=5w+25 and 12 walks more
Step-by-step explanation:
Here is an equation: $83=5w+25
The $83 on the left represents the $83 goal for the bike (or the total amount of money that Taylor needs)
The 5w represents that Taylor earns $5 per time she walks the dog, with the w being the number of walks.
The +25 shows that Taylor has already earned $25 from walking the dog. (Not sure if you need it, but the $25 took 5 dog walks –– 5•5=25)
To solve:
83 = 5w + 25 –– Subtract 25 from both sides to get the variable term alone
58 = 5w –– Divide both sides by 5 to get w alone
11.6 = w –– <u>Round this up to 12</u> because you can't really do 3/5 of a walk (this means Taylor needs to walk the dog 12 more times to earn enough to buy the bike)
Check:
83=5w+25 –– Replace w with 12
83=5(12)+25 –– Multiply
83=60+25 –– Add
83=85 –– <u>This shows she will have $2 left over</u>
Step-by-step explanation:
<h2>
Answer:</h2>
First, we need to use <u><em>slope formula*</em></u> to find the slope.
Second, we use the slope we found and <em>ONE</em> of the 2 points listed and plug it into <u><em>slope-intercept form**</em></u> to solve for <u><em>b</em></u>.
Here is what we have so far:
I'm going to use this point:
Here is how to find <em>b</em>:
Finally, we put all of it together and we have our equation.
*Slope formula: <em>m = y₂ - y₁/x₂ - x₁</em>
**Slope-intercept form: <em>y = mx + b</em>
<em></em>
The point-slope form:
We have the point (-1, -4) and the slope m = -3. Substitute:
