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111.1 without remainder. With remainder its 111R2
Answer:
0.2503
Step-by-step explanation:
To solve this , we use the Bernoulli trial equation.
Now, there are 10 questions with 4 options each. The total number of options is thus = 10 × 4 = 40 options
There are only 10 correct answers however. The probability of picking a correct answer is thus 1/4 or 0.25
Now we know there are 30 wrong options. The probability of picking a wrong option is 30/40 or 0.75
To answer 3 questions correctly, it means she would answer 7 wrongfully.
Now to complete the parameters for the bernoulli trial, we know she is making 3 correct choices. Now the number of ways to select three correct choices out of 10 is 10C3
Computing the Bernoulli trial, we have :
(10C3) × (0.25)^3 × (0.75)^10
= 0.2503
Answer:
Step-by-step explanation:
You are to assume in both problems that the two triangles are similar. That is a very dangerous assumption -- especially in later math classes. But in this case, there is no other way to do the problem. The two sets of triangles look like they are proportional. So set up two ratios that are = to each other
On the left
long side small triange / long side large triangle = base small triangle / base large triangle
On the right
hypotenuse/longest leg = hypotenuse / longest leg.
Problem A
Set up the similar Proportion
5/40 = x/20 Cross Multiply
40x = 20*5
40x = 100 Divide by 40
x = 100/40
x = 2.5
Problem B
Again set up the similar triangle proportion
15/10 = x/2 Multiply by 2
15*2/10 = x
3 = x
28÷7= 4
4+111= 115
115-16= 99
Answer-99