Step-by-step explanation:
(Assuming that this triangle is isosceles)
If this triangle is isosceles, then x° is going to be equal to its twin angle; 40°.
We can solve for z now.
180 = 40 + 40 + z
180 = 80 + z
Subtract 80 from both sides.
100 = z
z = 100°
Now that we know z = 100 degrees, we can begin to solve the expression (3x -20)
The expression sits on a 180° line and the angle z (100°) shares the line with the expression (3x - 20)°
180 = 100 + (3x - 20)
Subtract 100 from both sides.
80 = 3x - 20
Add 20 to both sides to isolate 3x
100 = 3x
Divide by 3 on both sides.
100/3 = 3x/3
33.33... = x
Answer:
700 Feet?
Step-by-step explanation:
A rectangle has 4 sides.
2 of them are 100 ft
2 of them are 250 ft.
2x100=200
2x250=500
500 ft +200 ft=700ft
Answer:
C) 161/163
Step-by-step explanation:
First, you add up all the students for both genders.
Female- 193+ 214 +197+ 201 = 805
Male- 216+ 207+ 198 + 194 = 815
That gives you a fraction on 805/815 which you simplify to 161/163
So your answer would be C, 161/163 :)
A rhombus is a four-sided shape where all four sides are equal length. A square is an example of a rhombus, but not all rhombuses are squares, since if you squish two of the corners inward on the square so that it's more long and skinny diagonally, then it's still a rhombus as long as the sides are of the same length.
Hope that helped =)
Answer:
1. 
: p = 0.70 , 
: p > 0.70
2. Test Statistic : 0.54 , P value : 0.2946
3. Fail to reject null Hypothesis
4. No.
Step-by-step explanation:
1. Null hypothesis is 70% of children receive antibiotics.
Alternative hypothesis is more than 70% of children receive antibiotics.
2. Test statistic is calculated as;
z = 
z = 
z = 0.54
3. p value is calculated as;
1 - right tailed probability
1 - 0.7054 = 0.2946
