Answer:
She spends:
2980.83 hours reading in a year,
3406.67 hours listening to music in a year,
and 3650 hours listening to podcasts in a year.
Step-by-step explanation:
Let's multiply each activity she does by 14 and take it to a year:
-Reading

She spends 2980.83 hours reading in a year.
-Listenign to music:
She spends 3406.67 hours listening to music in a year.
-Listenign to podcasts:
She spends 3650 hours listening to podcasts in a year.
I hope it helps you!
Answer:
a

b

Step-by-step explanation:
Let the random X variable representing the 6 companies that give 4 weeks of vacation after 15 years of employment:
-let p=0.5 be the probability of vacation. Since the companies are independent, X assumes a binomial random variable:
#Probability that the number of companies that give vacation is anywhere from 2 to 5:
We use equation 1;

Hence the probability that between 2 and 5 companies give vacation is 0.875
b. The probability that fewer than 3 companies give vacation is calculated as:
From equation one we get:

Hence the probability that less than three companies give vacation is 0.3432
All real numbers.

Step-by-step explanation:
Distributive property: a(b+c)=ab+ac
Expand: 4(a+2)=4a+8
Expand again: 14-2(3-2a)=4a+8
4a+8=4a+8
You subtract by 8 from both sides of an equation.
4a+8-8=4a+8-8
Simplify.
4a=4a
Then, subtract by 4a from both sides of an equation.
4a-4a=4a-4a
Finally, simplify.
4a-4a=0
0=0
True
All real numbers is the final answer.
Hope this helps you!
Have a nice day! :)
Answer:
8500
Step-by-step explanation:
If 5 cars each costing $34,000 were sold you would add those together which equal 170,000 and then find 5% of 170,000 which is 8500 so if the car sales man earns 5% he got $8500 this month