Answer: 
Step-by-step explanation:
In order to find the value of "x", it is important to remember that:

We can identify in the figure that:

Then:

Solving for AB:

Now, since there are 360° in a circle, we know that:

Then we can substitute
into
and solve for "x". This is:

Answer:
6(8z+7q)
Step-by-step explanation:
48z+42q
Factor out 6.
6(8z+7q)
Answer:
0.665
Step-by-step explanation:
Given: 100 people are split into two groups 70 and 30. I group is given cough syrup treatment but second group did not.
Prob for a person to be in the cough medication group = 0.70
Out of people who received medication, 34% did not have cough
Prob for a person to be in cough medication and did not have cough
=
Prob for a person to be not in cough medication and did not have cough
=
Probability for a person not to have cough
= P(M1C')+P(M2C')
where M1 = event of having medication and M2 = not having medication and C' not having cough
This is because M1 and M2 are mutually exclusive and exhaustive
SO P(C') = 0.397+0.2=0.597
Hence required prob =P(M1/C') = 
The price charged for the batch of cookies is $8.925
Step-by-step explanation:
Marked price refers to the price at which an establishment offers to sale a product. For-profits to occur, marked price is always more than cost price (cost of producing the item)
Here the local bakery has marked up the price by 155%. This means that the local bakery has increased the marked price by 155% above the cost price accrued to them.
The cost price of the cookies= $ 3.5
Hence the increased marked price= (155/100) *3.5
Increased marked price= $ 5.425
Hence the charge customers need to pay for the cookies= increased marked price + cost price
Charge = $5.425+ $3.5= $8.925
the price charged for the batch of cookies is $8.925
Answer:
The paper is 60.73 cm long.
Step-by-step explanation:
The two pieces of paper each measure 41.36 cm, so those together would be 82.72 cm. Subtracting the 21.99 that is cut off, you're left with 60.73 cm. Hope this helped!