Answer:
w = 6
Step-by-step explanation:
Based on the midsegment theorem:
ST = 2(PR)
ST = w + 6
PR = w
Plug in the values into the equation
w + 6 = 2(w)
w + 6 = 2w
6 = 2w - w
6 = w
w = 6
Answer:
Each dimension increased by 3 ft.
Step-by-step explanation:
Area of the original rectangle = 4 * 6 = 24 square feet
Increased dimension = x ft
New length = 6 + x
New width = 4 +x
New area = (6 + x)(4 +x) {Use FOIL method}
= 6*4 + 6*x + x*4 + x*x
= 24 + 6x + 4x + x²
= x² + 10x + 24
New area = 24 + 39
x² + 10x + 24 = 63
x² +10x + 24 - 63 = 0
x² + 10x - 39 = 0
x² + 13x - 3x - 3*13 = 0
x (x + 13) - 3(x + 13) = 0
(x + 13)(x -3) = 0 {Ignore x + 13, as it gives negative value}
x - 3 = 0
x = 3
Answer:0.806
Step-by-step explanation:
Given
4 % Test false negative i.e. Person is drug user but test is negative
so 96 % are drug user and should with positive test
6 % is false Positive i.e. Person is Non-druggist but test is showing positive
94 % are Non-druggist and test negative
If 19 % of employees use drug
so 100-19=81 % are non drug user
Probability(Employee uses drug if he tests negative)=P
L=3$-x×2 x=D hope this helps?
Answer:
259/30 or 8 19/30 depending on what format your teacher wants the answer
Step-by-step explanation:
First we can turn both mixed fractions into improper fractions and to do that we multiply the whole number by the denominator and that add that to the top number. So for 3 4/5 we would multiply 3 and 5 and than add 4 getting us to 19/5 doing the same to 4 5/6 gets us to 29/6. Now in order to add fractions we need to get a common denominator. The least common multiple of 5 and 6 is 30 so we will multiply each fraction by whatever number will give us 30 in the denomiator. for 19/5 that number is 6 so our new fraction is 114/30 and for 29/6 that number is 5 so our new number is 145/30. Now we just add the numerators and simplify. 114/30+145/30=259/30
I hope this helps and please don't hesitate to ask if there is anything still unclear!