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Alex_Xolod [135]
3 years ago
11

Marcus makes $11.76 an hour at Kroger and gets time-and-a-half for overtime. Last Saturday, he worked a six hour regular shift t

hen worked 1 ¾ overtime hours. What was his gross pay for the day?
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
7 0

Answer:

$91.14

Step-by-step explanation:

11.76 (7) = 82.32

11.75 (.75) = 8.82

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A signal light is green for 4 minutes, yellow for 10 seconds, and red for 3 minutes. If you drive up to this light, what is the
posledela

Answer:

0.56 is the required probability.

Step-by-step explanation:

Time for which signal shows green light = 4 minutes

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes

To find:

Probability that the signal will show green light when you reach the destination = ?

Solution:

First of all, let us convert each time to same unit before doing any calculations.

Time for which signal shows green light = 4 minutes = 4 \times 60 seconds = 240 seconds

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes = 3 \times 60 seconds = 180 seconds

Now, let us have a look at the formula for probability of an event E:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Here, E is the event that green light is shown by the signal.

Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time <em>(Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)</em>

So, the required probability is:

P(E) = \dfrac{240}{240+10+180}\\\Rightarrow P(E) = \dfrac{240}{430}\\\Rightarrow \bold{P(E) \approx 0.56 }

5 0
3 years ago
Find the area and the circumference of a circle with radius 4 yd
Romashka [77]

First, let's find the area! The formula to find the area of a circle is πr²

πr²

3.14 · 4²

50.24 yds²

Now let's find the circumference. The formula for this is 2πr

2πr

2 · 3.14 · 4

25.12 yds

Hope this helps!

4 0
3 years ago
The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,
tensa zangetsu [6.8K]

We have the following data set:

2,7,15,3,12,9,15,8,3,10

The range is the difference between the highest and lowest values in the set, to find the range, order the data set from least to greatest.

2,3,3,7,8,9,10,12,15,15

Then,

\begin{gathered} \text{Range}=15-2 \\ \text{Range}=13 \end{gathered}

Mean is represented by the following expression:

\text{Mean}=\frac{\text{Sum of all data points}}{Number\text{ of data po}ints}\text{Mean}=\frac{84}{10}=8.4

Population variance formula looks like this:

\begin{gathered} \sigma^2=\frac{\sum^{}_{}(x-\mu)^2}{N} \\ \text{where,} \\ \sigma^2=\text{population variance} \\ \sum ^{}_{}=addition\text{ of} \\ x=\text{each value} \\ \mu=population\text{ mean} \\ N=\text{ number of values in the population} \end{gathered}

Then, substituting:

\begin{gathered} \sigma^2=\frac{(2-14)^2+(3-14)^2+\cdots+(15-14)^2}{10} \\ \sigma^2=20.44 \end{gathered}

For the standard deviation:

\begin{gathered} s=\sqrt[]{\frac{\sum ^{}_{}(x-\mu)^2}{N}} \\ s=4.521 \end{gathered}

5 0
1 year ago
What is 39 divide by 2
marta [7]

19.5

Step-by-step explanation:

u just divide 39 by 2 and get 19.5

6 0
4 years ago
Factor x2-3x - 28
AVprozaik [17]

Answer:

x equal to -4 or 7

Step-by-step explanation:

x square - 3 x - 28 equals 0 so for me are you now find factors of 28 that and you add you add or multiply those two factors to get those two factors to give you 28 so now so you know Factor ways to get (open x + 4) Close x (open x - 7) close equal to zero your ex number comes -4 or 7

5 0
3 years ago
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