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poizon [28]
3 years ago
7

A number is randomly picked from this list: 2 4 5 7 6 8 10. find out the probability of picking an even number

Mathematics
1 answer:
salantis [7]3 years ago
8 0
There are 5 even numbers and 7 numbers total. So it would be 5/7 because that's how many even numbers there are out of those 7 numbers.
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Rita gets paid $16 per hour for the first 8 hours she works each day. She earns 1 1 2 times her hourly pay rate for time she wor
omeli [17]
<h3>The total money earned by Rita on Monday   = $158</h3>

Step-by-step explanation:

The rate by which  Rita is paid first 8 hours  = $16

The next per hour rate after 8 hours = 1\frac{1}{2}    = 1.5 times the usual rate.

Now, 1.5 times $16 = 1.5 x 1 6 =  $24

So, for each hour worked after 8th hour, Rita is paid $24 per hour.

Now, the intervals she has worked are:

(a) from 8:15  to 12: 45 pm

So, the number of hours worked  =  45 minutes + 45 minutes  + 3 hours  

= 4 hours 30 minutes  .... (1)   (as 60 minutes = 1 hour)

(b) break of 45 minutes after 12: 45  = 12: 45 + 45 minutes  

= 12 hour 90 minutes  = 1 :  30 P M

So, she started working at 1: 30 and worked till 6: 15

So, the number of hours worked  =  30 minutes + 15 minutes  +4 hours  

= 4 hours 45 minutes  .... (2)  

So, by adding (1) and (2) the total hours worked by Rita  

= 4 hours 30 minutes + 4 hours 45 minutes    

= 8 hours  75 minutes  = 9 hours 15 minutes

9 hours  15 minutes   = ( 8 +  1 .25 )     ( 15 minutes = 0.25 of an hour)

So, the payment is ( 8 x (16) +  1.25 (24) )  

= 128 +  30  = 158

Hence, the total money earned by Rita  = $158

6 0
3 years ago
A sample of 20 joint specimens of a particular type gave a sample mean proportional limit stress of 8.41 mpa and a sample standa
nignag [31]

For this problem, the confidence interval is the one we are looking for. Since the confidence level is not given, we assume that it is 95%.

 

The formula for the confidence interval is: mean ± t (α/2)(n-1) * s √1 + 1/n


Where:

<span>
</span>

α= 5%


α/2 = 2.5%


t 0.025, 19 = 2.093 (check t table)


n = 20


df = n – 1 = 20 – 1 = 19

So plugging in our values:


8.41 ± 2.093 * 0.77 √ 1 + 1/20


= 8.41 ± 2.093 * 0.77 (1.0247)


= 8.41 ± 2.093 * 0.789019


= 8.41 ± 1.65141676


<span>= 6.7586 < x < 10.0614</span>

3 0
2 years ago
If x &gt; 0 and y &lt; 0, where is the point (x, y) located?
dlinn [17]

Answer:

Quadrant 4

Step-by-step explanation:

x > 0 means towards right of the origin

y < 0 means below the origin

So Quadrant 4

6 0
3 years ago
Do the sides 9, 12 and 15 make a right triangle?
Fynjy0 [20]

Answer:

YES

Step-by-step explanation:

because they are all different lengths  

6 0
2 years ago
Read 2 more answers
For one English test, Benny had to answer 15 questions. Of these questionsBenny answered 60% of them correctly. How many questio
LenaWriter [7]

Answer:

9 correct

Step-by-step explanation: 60% of 15 = 9

6 0
2 years ago
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