Answer:
Using calculator: 0.0415
Using Z-score Table: 0.0418
Step-by-step explanation:
There are two ways you can solve this problem.
1. Use the normal distribution function on a calculator.
Entered values:
Lower Limit: 126
Upper Limit: 999999999999999... (To encompass all the data)
Standard Deviation: 15
Mean: 100
2. Find the Z score and look up probabilities on table.
Formula for Z score:

Z = 1.7333
This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.
This will show us the probability of the random sampling being equal to or lower than 126.
P = 0.9582
So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.
1-0.9582 = 0.0418
NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.
Hope this helped!
Answer:
yes, there are an infinite number of solutions
Step-by-step explanation:
The attached graph shows values of A and B (x and y) that can make this equation be true. Any of the points on any of the curves will satisfy the equation. (The repetition continues indefinitely in all directions.)
<span>1 pound = 16 ounces
so 60 pounds = 60 x 16 = 960 ounces.
$6.60/960 =0.006875 per ounce.
0.006875 x 16 ounces = 0.11 (11 cents per pound)
<span>3 pounds x 0.11= 33 cents
answer is B</span></span>
Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.