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kobusy [5.1K]
3 years ago
5

Aaron earned $74 at his job when he worked for 4 hours. What was his hourly pay rate in dollars per hour? Express your answer in

simplest form
Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0

Answer:

$18.50

Step-by-step explanation:

You notice he gets $74 in 4 hours in which when you need to simplify it:

74/4

when you do this you should get

18.5

So Aaron's hourly pay rate is $18.50

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The lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 h
DaniilM [7]

Answer:

Probability that a battery will last more than 19 hours is 0.0668.

Step-by-step explanation:

We are given that the lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 hours.

<em>Let X = lifetime of a battery in a certain application</em>

So, X ~ N(\mu=16,\sigma^{2} =2^{2})

The z-score probability distribution for normal distribution is given by;

               Z = \frac{  X -\mu}{\sigma}  ~ N(0,1)

where, \mu = mean lifetime = 16 hours

            \sigma = standard deviation = 2 hours

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, the probability that a battery will last more than 19 hours is given by = P(X > 19 hours)

  P(X > 19) = P( \frac{  X -\mu}{\sigma} > \frac{19-16}{2} ) = P(Z > 1.50) = 1 - P(Z \leq 1.50)

                                              = 1 - 0.9332 = 0.0668

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.50 in the z table which has an area of 0.9332.</em>

Hence, the probability that a battery will last more than 19 hours is 0.0668.

5 0
3 years ago
A common approach to keeping a record of each customer's account receivable is to use a subsidiary accounts receivable ledger.a.
Phantasy [73]

Answer:

True

Step-by-step explanation:

The given statement is true as a common approach to keeping a record of each customer's account receivable is to use a subsidiary accounts receivable ledger. An account's receivable subsidiary ledger  is an accounting ledger that shows the transaction and payment history of each customer to whom the business extends credit.

4 0
3 years ago
Which is greater? 670.9 or 670.008
Free_Kalibri [48]

Answer:

670.9

Step-by-step explanation:

because 670.9 is bigger and 670.008 has more 0's and 0's aren't greater

5 0
3 years ago
A bond quoted at 93 (1/8) is equal to ___ per 1,000.00 of the face amount.
Ksju [112]
The number a bond is the percentage of the value of the bond that the bond is worth. Because the bond is quoted at 93, the bond is worth $930 per $1,000.
5 0
3 years ago
Read 2 more answers
PLEASE HELP ME<br> Find the total surface area of the figure shown.
otez555 [7]

Answer:

I think it's C but I might be

Step-by-step explanation:

8 0
3 years ago
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