Answer:
156.37°
Step-by-step explanation:
We solve this above question, using Cosine rule which is given as:
Cos C = a² + b² - c²/2ab
Let the Angle be represented as: x
Cos x = 310² + 200² - 150²/2 × 310 × 200
x = arc cos [ 310² + 200² - 150²/2 × 310 × 200]
x = 23.63°
The angle, in degrees, that he must turn through to head straight for Island B is given as:
180° - 23.63°
= 156.37°
Answer: Gonzo runs 0.435 seconds faster than Kermit.
Step-by-step explanation:
This is just a simple subtraction problem.
To make both numbers even in place value, add a 0 (zero) in the back of 12.35 to make it 12.350.
Then you simply subtract using regrouping methods:
12.350
11.915 -
————
0.435
Now let’s check our answer:
11.915
0.435. +
—————
12.35
As a result, Gonzo ran 0.435 seconds faster than Kermit.
The 95% confidence interval for the population will be 0.312 < SD < 0.885.
<h3>How to calculate the confidence interval?</h3>
From the information given, it should be noted that the values listed below are waiting times of customers at the Jefferson Valley Bank, where customers enter a single waiting line that feeds three teller windows.
The degree of freedom will be:
= 9 - 1 = 8
The number illustrated is 9 and the standard deviation is 0.462.
The 95% confidence interval will be'
= ✓(9 - 1) × 0.462²/17.53) < ✓(9 - 1( × 0.462)²/2.28
= 0.312 < SD < 0.885.
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The required vertex form of the given equation is a) is correct
the function is given,
<h3>What is vertex form?</h3>
vertex form of a equation is given by .
since
Now h = - b/2a
h = -N
Now at x = 0
k = 10
vector form can be given by
The question is incomplete. The question could be:
what is the correct vertex form of equation ?
a)
b)
c)
d)
Thus, the vector form of the given function is
learn more about vector form here:
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