Probabilities are used to determine the chances of events
The value of the probability P(x < 24) is 0.7895
<h3>How to calculate the probability
P(x < 24)?</h3>
This is calculated as:

So, we have:

Evaluate the sums

Evaluate the quotient

Hence, the value of the probability P(x < 24) is 0.7895
Read more about probabilities at:
brainly.com/question/9385303
Answer:
a. 9.5x + 6.5(x+c) < 8 when c>0
b. Must be one child more than the no. of adults.
Step-by-step explanation:
For Cinema 1:
for adult = $9.50
for child = $6.50
For Cinema 2:
Per person regardless of age = $8.00
First of all, we will find out the condition when per person rates in both cinema are equal.
Assume x = no. of adults
y = no. of children
Rate per person in Cinema I = Rate per person in Cinema II
(9.5x + 6.5y)/(x+y) = 8
9.5x + 6.5y = 8(x+y)
9.5x + 6.5y = 8x + 8y
9.5x-8x = 8y-6.5y
=> x = y
So rates are equal when no. of adults equals no. of children
For Cinema I to have better rates, no. of children should be atleast 1 more than the no. of adult. In this way the rate per person of Cinema I will be less than 8
Hence we form an inequality when y = x+c and c > 0
9.5x + 6.5(x+c) < 8 when c>0
Hence there must be 1 more children than the no. of adults attending Cinema I for it to be a better deal.
Answer:
x=-4
Step-by-step explanation:
-2x+18-1x+4=34
step 1 combine like terms
-2x+-1x=-3x
18+4=22
-3x+22=34
step 2 subtract each side by 22
-3x=12
step 3 divide each side by -3
x=-4
hope this helps (:
Each best behaved class will receive 1.5 pounds of candy.
To get his answer you just have to divide 15 by 10
15 divided by 10 = 1.5 pounds