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natulia [17]
3 years ago
15

Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays. She doesn’t have classes on Wednesdays or Th

ursdays, so she works 8 hours each on those days. If she makes $413 each week, what’s her hourly rate? aner
Mathematics
1 answer:
iVinArrow [24]3 years ago
6 0

Answer:

Her hourly rate is <u>$14</u>.

Step-by-step explanation:

Given:

Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays.

She works 8 hours each on Wednesdays or Thursdays.

Now, to find her hourly rate.

So, total hours Penelope work on Mondays, Tuesdays, and Fridays:

4.5+4.5+4.5=13.5\ hours.

And, total hours she work on Wednesdays and Thursdays:

8+8=16\ hours.

Now,<em><u> the total hours each week she work:</u></em>

13.5+16=29.5\ hours.

<u><em>Total money she makes each week</em></u> = $413.

Now, to get the hourly rate we divide the total hours each week she work by total money she makes each week:

413\div 29.5

=\$14.

Therefore, her hourly rate is $14.

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In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was 43.76 with standard deviati
klemol [59]

Answer:

Between 38.42 and 49.1.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 43.76, standard deviation of 2.67.

Between what two values will approximately 95% of the amounts be?

By the Empirical Rule, within 2 standard deviations of the mean. So

43.76 - 2*2.67 = 38.42

43.76 + 2*2.67 = 49.1

Between 38.42 and 49.1.

8 0
2 years ago
How to factor x^2-2x-15
olga2289 [7]

Answer:

(x - 5)(x + 3)

Step-by-step explanation:

Given

x² - 2x - 15

Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (- 2)

The factors are - 5 and + 3, since

- 5 × 3 = - 15 and - 5 + 3 = - 2, thus

(x - 5)(x + 3) ← in factored form

6 0
3 years ago
The mean salary of 5 employees is $33700. The median is $34600. The mode is $35600. If the median paid employee gets a $3500 rai
fgiga [73]

Step-by-step explanation:

Given:

Mean = 33700

Median = 34600

Mode = 35600

The mean is the average, the median is the middle number, and the mode is the most common number.

a)

First, we need to find the new mean (average) if one of the employees gets a 3500 raise.  The average is the total salary divided by number of employees:

(5 × 33700 + 3500) / 5 = 34400

b)

The mode is the most common number in a set.  Since there are only five employees, and the mode is different than the median, then the two highest earners must have the same salary.  The salaries from smallest to largest is therefore:

?, ?, 34600, 35600, 35600

When the median gets the 3500 raise, the set becomes:

?, ?, 35600, 35600, 38100

So the new median is 35600.

c)

The most common number is still 35600.  So the mode hasn't changed: 35600.

4 0
3 years ago
Find the area VALUE of each figure below with the following measurements
Dmitry [639]

Answer:

the answer is 180cm for the rectangle

the answer is 126cm for the triangle.

the answer is 880ml for the rectangle.

Step-by-step explanation:

first diagram (rectangle)

area=l×b

15×12

180cm

second diagram(triangle)

area =

\frac{1}{2}  \times l \times b \\  \frac{1}{2}  \times 14 \times 18 \\  = 7 \times 18 \\ 126cm

third diagram( rectangle)

area=

l \times b \\  \\ 44 \times 20 \\ 880ml

3 0
3 years ago
When 2 is added to the difference between six times a number and 5, the result is greater than 13 added to 5 times the number. F
Elina [12.6K]

let x is the number

2 + (6x - 5) > 13 + 5x

2 + 6x - 5 > 13 + 5x

6x - 3  > 13 + 5x

6x - 5x > 13 + 3

         x >  16

8 0
3 years ago
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