<u>Answer</u>
= 10
<u>Explanation</u>
EG is one of the diagonals of the rhombus and the other diagonal is FH.
EG = 16 and FH = 12
The diagonals of a rhombus meet at 90°
From this information we can form a right triangle with legs (16/2)=8 and (12/2)=6
The hypotenuse of this triangle is the side of the rhombus.
Using the pythagorean theorem;
L² = 6²+8²
Where L is the length of the rhombus.
L² = 6²+8²
L = √36+64
= √100
= 10
Answer:
(b) 4,445
Step-by-step explanation:
If the researcher would like to be 95% sure that the obtained sample proportion would be within 1.5% of p (the proportion in the entire population of U.S. adults), what sample size should be used?
Given a=0.05, |Z(0.025)|=1.96 (check standard normal table)
So n=(Z/E)^2*p*(1-p)
=(1.96/0.015)^2*0.5*0.5
=4268.444
Take n=4269
Answer:(b) 4,445
Answer:
There were 40 2-point questions and 9 3-point questions.
Step-by-step explanation:
To solve this situation, write two equations. One for the number of questions and one for the number of points.
Let x be the number of 2 point questions.
Let y be the number of 5 point questions.
x + y = 49
Now since x are each worth 2 points, the total points is 2x.
And since y are each worth 5 points, the total points is 5y.
So 2x + 5y = 125. Substitute one of the equations into the other to solve for the variables.
x + y = 49 becomes x = 49 - y. Substitute it.
2(49-y) + 5y = 125
98 - 2y + 5y = 125
98 + 3y = 125
3y = 27
y = 9
Substitute y = 9 back into the equation x = 49 - y to find x.
x = 49 - 9
x = 40
Answer:
Step-by-step explanation: Turn the mixed number into an improper fraction. -1 2/5 becomes -7/5. To divide fractions, you keep the first fraction, change the division sign to mulitplication and flip the second fraction. Then just multiply across the top and across the bottom. You will get 105/70. Reduce by dividing both numerator and denomination by 35 Result will be 3/2.
