Answer:
We have the problem:
"Clare is in charge of getting snacks for a road trip with her friends and her dog. She has
$35 to go to the store to get some supplies. The snacks for herself and her friends cost
$3.25 each, and her dog's snacks costs $9 each."
In this situation we have two variables:
X = number of snacks for herself and her friends that she buys. Each one of these costs $3.50
Y = number of snacks for her dog that she buys. Each one of these costs $9.
The total cost, in this case, can be written as:
X*$3.50 + Y*$9
And we know that she has $35 to spend, so she can spend $35 or less in the store, then we have the inequality:
X*$3.50 + Y*$9 ≤ $35
Where we defined all the quantities in the inequality.
Answer:
0.4
Step-by-step explanation:
These are the relative frequencies of each face (data are missing in the text of the problem):
Number Showing on Top Face Frequency
1 0
2 3
3 3
4 6
5 3
6 5
The probability to obtain a certain number when throwing the dice is given by
where
is the relative frequency of the number 
to occur
is the sum of the relative frequencies
Here the sum of the frequencies is:
For number 5 here, we have:
(from the table)
So the probability of getting a 5 is
For number 6 here, we have
So the probability of getting a 6 is
So the probability to obtain either a 5 or a 6 in the next rolling is:
Answer:
a>4 or a < 8
Step-by-step explanation:
We can start with the inequality on the left
-a + 2(4+3a) > 28
expand using the distributive property
-a + 8 + 6a > 28
5a + 8 > 28
subtract 8 from both sides to isolate the variable and its coefficient
5a > 20
divide both sides by 5 to isolate a
a > 4
moving on to the inequality on the right
2a - (3a+4) > -12
treat the minus sign as a -1
2a + (-1)(3a+4) > - 12
expand
2a - 3a - 4 > - 12
-a - 4 > -12
add 4 to both sides to isolate a and its coefficient
-a > - 8
multiply both sides by -1 but change the sign because we are multiplying by a negative number
a < 8
The outlier is 20
it affect the mean because
1)32 +40+34+ 31 +20+ 36 +40+31=264
2) 264 divided by 8= 33
so it gives you an odd number
Answer: 1080 degrees
Step-by-step explanation:
