To calculate for the z-score we use the formula:
z=(x-μ)/σ
thus the answers to questions will be as follows:
a]<span>Carmen purchased a 16-ounce can of Nut Munchies and counted 100 peanuts. What is the z-score for this can of peanuts?
</span>x=100
μ=96.3
σ=2.4
z=(100-96.3)/2.4
z=1.542
b]<span>Angelo purchased a 20-ounce can of Gone Nuts and counted 116 peanuts. What is the z-score for this can of peanuts?
x=116
</span>μ=112.6
σ=2.8
<span>thus
z=(116-112.6)/2.8
z=1.214
c]</span><span>Carmen declares that purchasing her can of Nut Munchies with 100 peanuts is less likely than Angelo purchasing a can of Gone Nuts with 116 peanuts. Is Carmen’s statement correct? Use the definition of a z-score to support or refute Carmen’s claim.
This is very correct because because by definition of z-score, Munchies with 100 peanuts is 1.542 away from the mean as compared to Munchies with 116 peanuts which is 1.214 standard deviations from the mean hence the higher likelihood. </span>
If the tax is placed on the roigial price, they should each pay around 49 dollars and 3 cents.
Answer:
Hi there!
The answer to this question is:
Standard: y= x- (cube root) z
the leading coefficient: 1
Step-by-step explanation:
when identifying a polynomial you always need to know the standard equation, and leading coefficient.
-you first need to know what "y" so you move y to the other side by adding it on both sides
-then you need to get y by itself and cube root it on both sides resulting in x^3 becoming x and z becoming (cube root) z
Answer:
The area of rhombus PQRS is 120 m.
Step-by-step explanation:
Consider the rhombus PQRS.
All the sides of a rhombus are equal.
Hence, PQ = QR = RS = SP = 13 m
The diagonals PR and QS bisect each other.
Let the point at of intersection of the two diagonals be denoted by <em>X</em>.
Consider the triangle QXR.
QR = 13 m
XR = 12 m
The triangle QXR is a right angled triangle.
Using the Pythagorean theorem compute the length of QX as follows:
QR² = XR² + QX²
QX² = QR² - XR²
= 13² - 12²
= 25
QX = √25
= 5 m
The measure of the two diagonals are:
PR = 2 × XR = 2 × 12 = 24 m
QS = 2 × QX = 2 × 5 = 10 m
The area of a rhombus is:
Compute the area of rhombus PQRS as follows:
Thus, the area of rhombus PQRS is 120 m.
Answer:
change in y: 0
change in x: 5
slope: 0
Step-by-step explanation:
Sub these two points from Line E into the gradient formula (you can search this up on the internet) and you would get 0/5
Points: (1,3) and (6,3)
Rise over run
3-3 over 6-1
0/5 and the answer is 0
Generally, when it asks you to find the slope of a horizontal line, its always 0
