Answer:
Probability = 0.12676992
Step-by-step explanation:
The probability of selecting committee of seven composed of all Democrats.
Total number = 45+55= 100
Number of Democrats = 55
Number of committee = 7
Probability= (55C7)/(100/7)
Where C represent combination sign
Probability = (202927725/1.60075608*10^10)
Probability = 0.12676992
Answer:1/3
Step-by-step explanation:
The mixture contains 61.5% of water.
<u>Step-by-step explanation:</u>
Total parts = 4+ 2.5 = 6.5
Parts of water =4
parts of drink = 2.5
Percent of water in the mixture = 4 × 100/ 6.5
= 400/6.5
= 61.53%
It is rounded to the nearest tenth as 61.5%.
Give a reason for each step of the proof.
Given: <1 and <2 are complimentary
<1 is congruent to <3,
<2 is congruent to <4
Prove: <3 and <4 are complimentary
Statements: Reasons:
1. <1 and <2 are complimentary 1.Given
2. m<1 + m<2=90* 2.<u>DEFINITION OF COMPLEMENTARY ANGLES</u>
3. <1 is congruent to <3, <2 is congruent to <4 3.__GIVEN______
4. m<1=m<3, m<2=m<4 4.<u>DEFINITION OF CONGRUENT ANGLES_</u>
5. m<3 + m<2=90* 5. <u>SUBSTITUTION PROPERTY (m<1 is replaced by m<3.) </u>
6. m<3 +m<4=90* 6. <u>DEFINITION OF COMPLEMENTARY ANGLES </u>
7. <3 and <4 are complimentary 7.<u> DEFINITION OF COMPLEMENTARY ANGLES</u>
First we need slope
Put D co-ordinates on y=mx+b
Now
slope intercept form.
