Answer:
0.999
Step-by-step explanation:
At least 1 correct means, 1 correct, 2 correct, 3 correct ... until 10 correct. That would be a long process to calculate.
<em>Instead we use the complement rule to calculate.</em>
<em>
</em>
<em />
<em>So we need to find P(x<1). So this is getting 0 answers correct, or 10 incorrect.</em>
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In true false question, probablity of correct is 1/2 and incorrect is 1/2, hence,
Probability of 10 incorrect is (1/2)^10
Thus,
So the answer is 0.999 (rounded to nearest thousandth)
It's quite simple when you break it down
20/45 let's divide by 5
4/9
we can't divide anymore, no common denominator. The answer is 4/9
Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
Answer:
6.5
Step-by-step explanation:
5.1+7.9=13
13 divided by 2
= 6.5
Answer:
Probability of chossing a face card and the month of june = 0.019
Step-by-step explanation:
Let A be the event that a face card is chosen from a deck of 52 cards
And
B be the event that a month is being chosen from 12 months of an year
So,
n(S)for A=52
n(S)for B=12
As a deck of card has total of 12 face cards so
P(A)=12/52
=3/13
P(B)=1/12
As both the events are independent, the probability of A and B is the product of both events’ probabilities.
P(A and B)= P(A)*P(B)
=3/13*1/12
=3/156
=0.019
