Answer:
question no 1:slope=5
Step-by-step explanation:
let(x=5andy=8)(a=7andb=18)
now
slope=(b-y)/(a-x)=(18-8)/(7-5)=5
Answer:
80 students.
Step-by-step explanation:
30% = 24 students
10% = 24/3 = 8
100% = 8*10 = 80 students.
Answer: 0.4302
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Also, these distances are normally distributed.
Then , the formula to calculate the z-score is given by :-

For x=32.5

For x=40.5

The p-value = 

Hence, the required probability :-0.4302
10. >, because there are 16oz in a lb
11. =, because there are 36 inches in a yd.
12. 13qts, because you multiply the 16 oz by the 26 mugs. Then you can divide by 32 since that's how many oz are in a qt
Answer:

Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u>
- A quadratic equation is given to us.
- The equation is 9x² + 30x + c .
And we need to find out the value of c for which the given trinomial is a perfect square. On looking at the given expression all the terms are having positive signs before them .So we can rewrite it on the basis of ,
<u>Identity</u><u> </u><u>:</u><u>-</u><u> </u>
Let's try to set the equation on this Identity .
The firsr term is 9x² . We can write it as ,
Hence the middle term here should contain 3 and 2 as their factors. Let's Break the middle term .

Therefore in order to make the whole expression as perfect square 5² must be replaced by c . The expression would become ,
<u>Hence </u><u>the </u><u>value </u><u>of </u><u>c </u><u>should</u><u> be</u><u> </u><u>2</u><u>5</u><u> </u><u>.</u>