Answer:
105°
Step-by-step explanation:
We have,
- The inferior angles of the triangle are in the ratio 1:3:8.
We've to calculate the difference in size between the largest and smallest angles.
Let's find the sizes or the values of the angles first.
Let us assume the interior angles of triangle as 1x , 3x and 8x as they are in the ratio 1:3:8.
★ According to the angle sum property of the triangle, the sum of the interior angles of the triangle is 180°. So,
→ 1x + 3x + 8x = 180°
→ 12x = 180°
→ x = 180° ÷ 12
→ <u>x = 15°</u>
Now, the sizes of the angles are,
- First angle = 1x = 1(15) = 15°
- Second angle = 3x = 3(15) = 45°
- Third angle = 8x = 8(15) = 120°
First angle is the smallest angle and the third one is the largest.
→ Difference = Third angle – First angle
→ Difference = 120° – 15°
→ <u>Difference = 105°</u>
Therefore, the difference in size between the largest and smallest angle is 105°.
If there are 14 onions there will be7 potatoes
Answer:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
The margin of error is of:
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.
This means that
95% confidence level
So , z is the value of Z that has a p-value of , so .
Margin of error:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Answer:
There is only one solution. x = 2
Step-by-step explanation:
3(x + 2) = 14 - x
3x + 6 = 14 - x
3x + x = 14 - 6
4x = 8
x = 2