Answer: number of tickets sold to adult = 566
Step-by-step explanation:
Let x = number of tickets sold by DCHS to students.
Let y = number of tickets sold DCHS to adults.
Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults.
This means cost of total tickets sold to students and adults is $3x and $5y respectively.
If DCHS collected $3943 for the tickets, then we have
3x + 5y = 3943 - - - - - -1
The number of adult tickets sold was 195 more than the number of student tickets. This means
y = x +195.
Put y = x +195 in equation 1
3x + 5(x+195) = 3943
3x + 5x + 975= 3943
8x +975=3943
8x = 3943-975= 2968
x = 2968/8 = 371
y = 371 + 195= 566
Answer: -124
Step-by-step explanation: -83-41
subtract and it suppose to give you -124
First, we have to realize that this is factored form, so we have to put this in standard quadratic form using FOIL, which is a rule mandating how we multiply the numbers here. F stands for First, which means the first number inside the parentheses for both of them, then O means the first number in the first quantity(fancy word for parentheses) multiplied by the last number of the second quantity, and so forth. When you are done, you combine like terms
anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.
Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.
The axis of symmetry is 6
Answer:
So then the probability that the batch would be accepeted is:
Step-by-step explanation:
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
On this case p=0.04 represent the probability that a random the tablet would be NOT accepted
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:
So then the probability that the batch would be accepeted is:
Answer:
The height of the big cone is double the one in the small cone
h2 = 2h1
Step-by-step explanation:
Given that:
- The volume of the small cone: 5 cubic inches
- The volume of the big cone: 10 cubic inches
As we know, the volume of a cone is as following:
V = (1/3)*area of the base*height
If the base diameter are unchanged => area of the base of the two cones are unchanged and from the given information, the volume of the big cone is double the volume of the small cone. So the height of the big cone is double the one in the small cone
<=> h2 = 2h1
