By formula we know that:
z (x) = (x - m) / [sd / sqrt (n)]
where x is the value we want to know (6.7), m is the mean (5), sd is the standard deviation (7.1) and n is the sample size (29).
Replacing we have:
z (6.7) = (6.7 - 5) / [7.1 / sqrt (29)]
z = 1.289
If we look in the normal distribution table (attached), we have that the probability is 0.8997, therefore:
1 - 0.8897 = 0.1003
So the conditional probability of a herd sample earning at least 6.7 pounds per steer is 10.03%.
Now the hypothesis tells me:
m> 5
The probability is somewhat low, therefore, the most correct thing is to reject the hypothesis even though it is a fact that can occur.
The formula is (new-original)/original.
(139,000 - 126,000)/126,000
= 13,000/126,000
= .103
Now, convert the decimal into a percent by moving the decimal two places to the right and including the percent sign.
.103 = 10.3%
Answer: 10.3%
A. f(x) = 7 + 0.3x
Just re-read your question! Hope I helped!
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 :)
Answer:
x=3/4
Step-by-step explanation:
x/3=1/2^2
4x=3
4x/4=3/4
x=3/4
