Prime number is a whole number that has no possible divisors that 1 and itself. Prime numbers are 2, 3, 5.7.11,13,17,19,23 and 29. From 1 to 10 there are 3 prime numbers: 3,5 and 7.
The probability can be calculated as the ratio between the number of "good" events and the total number of possible events. There are three "good" events (3,5 or 7) and 10 total events, so the probability that the spinner lands on a prime number is: 3/10. So, none of the given options is true.
Answer:
Method A.
Step-by-step explanation:
For solving this question we need to find out the z-scores for both methods,
Since, the z-score formula is,
Where, 
is mean,
is standard deviation,
Given,
For method A,
Thus, the z score for 34 is,
While, for method B,
Thus, the z score for 34 is,
,
Since, 
Hence, method A is preferred if the procedure must be completed within 34 minutes.
Answer:
The area of the triangle is 72 ft^2.
Step-by-step explanation:
Since A = (1/2)(base)(height),
if base = 9 ft and height = 16 ft, then
A = (1/2)(base)(height) = (1/2)(9 ft)(16 ft) = 72 ft^2.
So to help with the first one
2 / x = 5
multiply the x on both sides
2 = 5x
divide by 5 to isolate the x
2/5 = x
For the second one
We will use the diamond to help us find the common factor
\ 1 /
\ /
\ /
2 / \ 4
/ 3 \
/ \
1) the product
2) and 4) the two numbers
and 3) is sum
10 is the product and -7 is the sum
so what two numbers (factors of 10)
will equal -7 when added
so we have these numbers that will equal the product of +10 and we will need to find the ones that will equal -7 as the sum
10*1, 2*5, -1*-10, -2*-5
if we add the two numbers we will find respectively
11, 7, -11, -7
As you can see that -2 + -5 = +10 and -2+-5= +10
So we have found the two numbers
now before we factor the expression looks like
( x + a) (x + b)
and when factored looks like
x^2 + (a+b)x + (a*b)
Now we can plug in the numbers and solve to see if -2 and -5 are right
(x + -2) (x + -5)
we will factor it
x^2 +-5x + -2x + 10
x^2 + -7x + 10
so a = -2 and b = -5
Hope this helps :)
