Answer:
3 decimal places
Step-by-step explanation:
3.41 × 8.5 = 28.985
Answer:
Reciprocal: 5/6
Answer: 5/9
Step-by-step explanation:
Flip the 6/5 to make it the opposite reciprocal, 5/6
Now multiply 2/3 x 5/6
When you do this, you get 10/18
Reduce the fraction: 5/9
Answer:
C
Step 4
Step-by-step explanation:
The given steps and justifications are:
Given
Step 2
Distributive property of multiplication over addition
Step 3
Commutative property of multiplication
<em>This justification is not correct. </em>
<em>This justification is not correct. This is rather the inverse property</em>
<em>This justification is not correct. This is rather the inverse propertyTherefore step 3 has an incorrect justification.</em>
Step 4: 11x−40=10x+45
Associative property of addition
Step 5: x−40=45
Subtraction property of equality
Step 6: x=85
Addition property of equality
There are two ways to solve this problem:
(1) The basic way:
Total number of contestants = 38 + 22 = 60 contestant
Probability that 1 winner is a man = 22/60
Probability that 2 winners are men = (22/60) * (21/59)
Probability that 3 winners are men = (22/60) * (21/59) * (20/58)
Probability that 4 winners are men = (22/60) * (21/59) * (20/58) * (19/57)
Probability that 5 winners are men = (22/60)*(21/59)*(20/58)*(19/57)*(18/56)
Doing the calculation, we will find that:
probability that 5 winners are men = 0.0048217
(2) The combination way:
Total number of contestants = 38 + 22 = 60
probability that 5 winners are men = <span> C(22, 5) / C(60, 5)
</span>where:
<span>C(n, r) = n! / ((n - r)! * r!)
</span>(The exclamation mark refers to the factorial)
Now, we will substitute:
C (22,5) = (22)! / ((22-5)!*(5)!) = 26334
C (60,5) = (60)! / ((60-5)!*(5)!) = 5461512
Substitute to get the probability as follows:
probability that 5 winners are men = C(22, 5) / C(60, 5)
= (26334) / (5461512)
= 0.0048217
Answer:
3.6
Step-by-step explanation:
18/5 is equal to 1.8x2 or 3.6
