Using a graphing calculator, we can see the graph of the function y = x²-4x+1:
as we can see, the vertex of the function is (2,-3), and the solutions are (0.3,0) and (3.7,0)
Since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.
Therefore we reject John's claim.
Here:
we can use 1 sample proportion test to check the claim of John
H₀ : p₀ = 0.4
H₁ : p₀ ≠ 0.4
Test statistic is
z = p - p₀/√p₀(1-p₀)n
Let X be the random variable denoting the number of heads.
Now p = X/n
= 8/50
= 0.16
p₀ = 0.4
1-p₀ = 1-0.4
= 0.6
z = -3.464
since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.
Therefore we reject John's claim.
Learn more about Null hypothesis here:
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Answer:
360 degrees
Step-by-step explanation:
Answer:
$7.60
Step-by-step explanation:
- Penny = $0.01
- Nickel = $0.05
- Dime = $0.10
- Quarter = $0.25
( 5 × 0.01 ) + ( 13 × 0.05 ) + ( 14 × 0.10 ) + ( 2 × 0.25 ) + 5
-<em>The 5 at the end represents the </em><u><em>one</em></u><em> five dollar bill.</em>
Simplified: (solve what is in the parenthesis)
0.05 + 0.65 + 1.4 + 0.50 + 5 = $7.60
Answer:
Find the answers below
Step-by-step explanation:
Using m<X as the reference angle
Opposite YZ = 7
Adjacent XY = 10
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinX = opp/hyp
sinX =YZ/XZ
sinX = 7/√149
For cos X
cos X = adj/hyp
cos X =10/√149
Using m<Z as reference angle;
Opposite XY = 10
Adjacent YZ = 7
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinZ = opp/hyp
sinZ =10/√149
sinZ = 7/√149
For cos Z
cosZ = 7/√149