Answer:
x = 74.2°
Step-by-step explanation:
Complementary angles are two angles whose sum is 90°.
Let x = the second angle
15.8° + x = 90°
x = 90 - 15.8°
x = 74.2°
Answer: 2 1/4 more flour for 9 servings
Step-by-step explanation: (a) how many total cups of flour are there per serving? show your work
1 1/2÷6= 3/2 x 1/6 = 3/12= 1/4 cups of flour per serving
(b) how many total cups of sugar (white and brown) are there per serving?show your work
3/4 + 1/3 = 9/12 + 4/12= 13/12= 1 1/12 total cups of sugar
13/12 ÷ 6/1 = 13/12 x1/6 = 13/72 per serving
(c) supposed you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe?Show your work/
1/4 x 9 = 9/4 = 2 1/4 more flour for 9 servings.
Answer:
The expected participation rate is 0.637.
The standard error is 0.04397
Step-by-step explanation:
For each working age people asked, there are only two possible outcomes. Either they are in the labor force, or they are not. This means that we can solve this problem using binomial distribution probability concepts.
Binomial probability:
Expected value for the participation rate: The expected value is the probability of a success. In this problem, a success is a working age people being in the labor force. 63.7% of them are. So 
. This means that the expected participation rate is 0.637.
Standard error for the participation rate:
The standard error is given by the following formula:
.
In this problem, 120 people are asked, so 
.
So the standard error is 0.04397
To put an equation into (x+c)^2, we need to see if the trinomial is a perfect square.
General form of a trinomial: ax^2+bx+c
If c is a perfect square, for example (1)^2=1, 2^2=4, that's a good indicator that it's a perfect square trinomial.
Here, it is, because 1 is a perfect square.
To ensure that it's a perfect square trinomial, let's look at b, which in this case is 2.
It has to be double what c is.
2 is the double of 1, therefore this is a perfect square trinomial.
Knowing this, we can easily put it into the form (x+c)^2.
And the answer is: (x+1)^2.
To do it the long way:
x^2+2x+1
Find 2 numbers that add to 2 and multiply to 1.
They are both 1.
x^2+x+x+1
x(x+1)+1(x+1)
Gather like terms
(x+1)(x+1)
or (x+1)^2.
