Answer:
2.
i) (c)
ii) (d)
iii) (b)
iv) (a)
3.
ii) 80°
Step-by-step explanation:
2.
i) 2x+x+3x=180°
x=30°
ii) x+110=180
x=70
iii) x+2x+30°=180
x=50°
iv) 2x+15°+45°+x=180
3x+60°=180
x=40°
3.
ii) 2x+5+25=180°
2x+30°=180°
x=75°
the measure: x+5°= 75°+5°=80°
Answer:
45
Step-by-step explanation:
by the definition of an isocoles triangle, defined by having two congruent sides, (p-s, r-s), angles SPR and SRP are congruent. by the triangle sum theorem, (internal angles + to 180˚) 90˚ + 2a = 180˚. 2a =90, a = 45
Answer: a. The interval in percentage is (23.46% , 30.76%)
b. No
Step-by-step explanation: To determine the confidence interval of a proportion, first find the percentage of yellow in that population:
phat = 
phat = 0.2711
The level α is 95%
1 - α = 0.05
α/2 = 0.025
As the population is bigger than 30, use z-test.
According to the table, z-score for α/2 = 0.025 is z = 1.96
The error for the interval is:
E = z.
E = 1.96.
E = 1.96*0.01865
E = 0.0365
The lower and higher limits of the interval are:
phat - E = 0.2711 - 0.0365 = 23.46%
phat + E = 0.2711 + 0.0365 = 30.76%
In conclusion, the 95% confidence interval to estimate the percentage of yellow is (23.46%,30.76%)
b. No, because 25% is inside the interval meaning that it doesn't contradict the expectations.
Hey!
For part A, let's write the problem,

Add

to both sides...


We are going to reverse the inequality, to do this we are going to multiply both sides by

.


Divide both sides by

.

Our answer would be,

Let's go with Part B. Let's write the problem,

Subtract

from both sides,


Divide both sides by

.

If we simplified it, we would be left with,

Thanks!
-TetraFish