See the picture for the answer :)
Answer: Pr= 42.9%
Step-by-step explanation:
SD = 4.2
Mean = 9.4
That is data are distributed between 9.4+/-4.2
Which is between 5.2 - 13.6
Probability of at least 10lb is given by;
Pr= 13.6-10 / 13.6-5.2
Pr= 3.6/ 8.4
Pr= 0.4286× 100%
Pr= 42.9%
Supplementary angles add up to 180
so (2x + 3) + (3x + 2) = 180
.
<u>Solve x:</u>
2x + 3 + 3x + 2 = 180
5x + 5 = 180
5x = 175
x = 35
.
<u>Find the angles:</u>
One angle = (2x + 3) = 2(35) + 3 = 73°
Other angle = (3x + 2) = 3(35) + 2 = 107°
.
Answer: The two angles are 73° and 107°
Answer:
1. 1
2. 1/12
3. 3 1/6
Step-by-step explanation:
Solution for #1. First, you have to get a common denominator. Here, that would be 6. In order to give 1/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 3/6. Add that to the other 3/6 (3/6+3/6) which equals 6/6 which can be simplified to 1.
Solution for #2. This is just like #1. First, you have to get a common denominator. Here, that would be 12. In order to give 1/3 a denominator of 12, you will need to multiply the numerator and the denominator by 4. That will give you 4/12. Then, to give 1/4 a denominator of 12, you will need to multiply the numerator and the denominator by 3. That will give you 3/12. Then, subtract (4/12-3/12). You will get an answer of 1/12.
Solution for #3. This is slightly different from the others, I has two more steps. First, you need to changed the mixed fractions into improper fractions. You will get 17/3 and 5/2. Then, you have to get a common denominator. Here, that would be 6. In order to give 17/3 a denominator of 6, you will need to multiply the numerator and the denominator by 2. That will give you 34/6. Then, to give 5/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 15/6. After that, subtract (34/6-15/6). You should get 19/6. Finally, divide 19/6 and you should get 3R1. So, the mixed fraction version of 19/6 is 3 1/6 (I did this by using the 3 from 3R1 as the whole number and I just put the remainder of 1 over 6 as the fractional part). You can multiply to check your answer.
Answer:
<h2>Yeah, all answer is right</h2>
<h2>I HOPE IT IS HELPFUL</h2>
