Again, I've attached an image showing the 30-60-90 relationship for triangles. Hopefully this should help as we work through this problem.
For the side adjacent to the 30 degree angle, we know that the side length is . Let's take a look at the given options and see which ones fit.
The options that fit are 
and 
.
For the side adjacent to the 60 degree angle, we know that the side length is just x. Let's take a look at the given options and see which ones fit.
The options that fit are x and 7.
Finally, the hypotenuse is the longest side of the triangle and its length is equal to 2x.
So, the options that fit are 2x and 14.
Hope this helps! :)
794.1 ÷ 7.61 = 104.34954
Round off to two decimal places:
104.349
round 4 up to 5 because the next number is greater than 5:
9 > 5
So
= 104.35
5a - 2 = 23.
First, take 5a - 2 = 23 and add 2 to each side
5a - 2 = 23
+2 +2
5a = 25
now, divide each side by 5
5a = 25
/5 /5
a = 5
You flip the signs when you are dividing by a negative value.
-2x+3>15
-2x>15-3
-2x>12
x<12/-2
x<-6
Now to test this
Try putting x in the original equation when it is -5.
-2(-5)+3>15
10+3>15
13>15
This is false because our answer says x is less than -6.
Now any value less than -6 will work so let's go with -7.
-2(-7)+3>15
14+3>15
17>15
This result is True.
Hope this helps out!
Answer:
Step-by-step explanation:
Information given
n=564 represent the sample selected
X=51 represent the number of people who rated the overall services as poor
estimated proportion of people who rated the overall services as poor
is the value to compare
z would represent the statistic
Hypothsis to analyze
We want to analyze if the proportion of customers who would rate the overall car rental services as poor is 0.1, so then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic for a one z test for a proportion is given by:
(1)
Replacing the info given we got:
And the p value since we have a bilateral test is given b:
