A. we use the z statistic to solve this problem
z = (x – u) / s
We calculate the value of the sample mean u and standard deviation
s:
u = $30 * 304 = $9120
s = $21 * 304 = $6384
z = (9,600 – 9120) / 6384
z = 0.075
From the normal tables using right tailed test,
P = 0.47
B. At worst 11% means P = 0.11, so the z value at this is
z = -1.23
-1.23 = (x – 9120) / 6384
x = 1267.68
The exact value of x is 2.
<h3>What is linear equation?</h3>
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. This is sometimes referred to as a "linear equation with two variables," where y and x are the variables.
8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾
32⁽¹/²⁾ = 2⁵⁽¹/²⁾
32⁽¹/²⁾ = 2⁽⁵/²⁾
8⁽¹/⁶⁾ = 2³⁽¹/⁶⁾
8⁽¹/⁶⁾ = 2⁽¹/²⁾
8⁽¹/⁶⁾ x 2ˣ = 2⁽¹/²⁾ x 2ˣ
= 2⁽¹/²⁾+ˣ
= 2⁽¹/²+ˣ⁾
since 8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾
= 2⁽⁵/²⁾
2⁽¹/²+ˣ⁾ = 2⁽⁵/²⁾
equate the powers
1/2+ x = 5/2
subtract 1/2 from both sides
x = 5/2 - 1/2
x = (5-1)/2
x = 4/2
x= 2
Therefore, x = 2 is the exact value of x.
To know more about linear equation, visit:
brainly.com/question/11897796
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Answer:
f(0) = 2
Roots are;
-2 and -1
Step-by-step explanation:
F(0) simply refers to the y-values when x = 0
This is the point at which the graph crosses the y-axis
the value here is 2
To
find the roots of f(x) , we simply find the points at which the plot crosses the x-axis
we have this at x = -2 and x = -1
These are what represents the roots of the equation
Answer: A. 370 cm2
Step by Step explanation:
10x15=150 The big rectangle
15x6=90x2=180 The small rectangles
20x2=40 the triangles
Add all up 150+180+40=370
Hope this helped
