Answer:
We get value p=16
Step-by-step explanation:
When triangles are similar, the ratio of corresponding sides is equal.
In the given triangles we have to find value of p
We have the ratio: (Can use ratio of any two sides)
Now, putting values and finding p
So, we get value p=16
Answer:
3/8
Step-by-step explanation:
So what I did is make 1/2 have a common denominator with 1/8. The common denominator would be 4/8. Then i added 1/8 and 4/8 and got 5/8. Then I subtracted 5/8 and 8/8 because 8/8 would be the 100% chance. Then I got 3/8. So I would then think the chance of getting a yellow marble would be 3/8 chance. I hope I helped :)
Answer:
Correct option is (c).
Step-by-step explanation:
The experiment is conducted to determine whether a new fertilizer affects the yield of tomato plants.
The procedure involves randomly assigning the new fertilizer to 20 plants and the other 20 will be assigned the current fertilizer.
Then the mean number of tomatoes produced per plant will be recorded for each fertilizer, and the difference in the sample means will be calculated.
The collected sample data will then be used to make conclusion about the population.
The researchers main aim is to determine whether the new fertilizer is effective or not, i.e. if on using the new fertilizer the yield of tomatoes increases or not.
So, the parameter under study id the difference between tow population means.
To make inferences about the experiment the researcher can construct a two-sample <em>t</em>-interval for a difference between population means. The confidence interval has a certain specific probability of including the true parameter value.
Thus, the correct option is (c).
The window has a shape of a semi-circle (half of a circle).
We know the diameter d = 12 ft.
The area of a (complete) circle is given by the formula:
A = π × r²
The radius can be found by halving the diameter:
r = d ÷ 2
= 12 ÷ 2
= 6 ft
Therefore the area of the circle will be:
<span>A = π × r²
= 3.14 × 6</span>²
= <span>3.14 × 36
= 113.04 ft²
And the area of the semi-circle:
A = </span><span>113.04 </span>÷ 2
= 56.52 ft²
Hence, the area of the window will be 56.52 ft².