Answer:
x = 50
Step-by-step explanation:
The marked angles are vertical angles, so are congruent.
3x -3 = 147 . . . . congruent angles have equal measures
x -1 = 49 . . . . . divide by3
x = 50 . . . . . . add 1
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>
<em />
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)
Remark. The easiest way to solve this is to make the coefficients of one of the letters = to the same coefficient in the other equation
Set up and solve
x + y = 24
3x + 5y = 100 Multiply the first equation by 3
<u>3x + 3y = 72 </u> Subtract
2y = 28 Divide by 2
y = 28/2
y = 14 <<<<<< Answer for y
Step 2
Solve for x
x + y = 24
x + 14 = 24 Subtract 14 from both sides.
x = 24 - 14
x = 10 <<<<Answer for x
Check to see if it works.
3x + 5y = 100
3*10 + 5*14 = 100
30 + 70 = 100 Checks.
There are 10 three point question
There are 14 five point questions.
You will divide the ratio by the tital and then multiply into 1000
The first person
3/8 × 1000 = $375
Second person
5/8 × 1000 = $625
