Answer:
210
Step-by-step explanation:
10+10+1=21
21 x 10=210
Answer:
Volume of cone = 418.67 cm³ (Approx.)
Step-by-step explanation:
Given:
Radius of cone = 5 cm
Height of cone = 16 cm
Find:
Volume of cone
Computation:
Volume of cone = [1/3][π][r²][h]
Volume of cone = [1/3][3.14][5²][16]
Volume of cone = [1/3][3.14][25][16]
Volume of cone = [1/3][3.14][400]
Volume of cone = [1/3][1,256]
Volume of cone = 418.67 cm³ (Approx.)
Answer:
1
1
3
3
Step-by-step explanation: just cuz
The volume of the fish tank is 408 in³
To solve the volume of the fish tank, we need to understand what is the volume of plane shapes.
<h3>What is the volume of plane shapes?</h3>
The volume of plane shapes resembles a 3-dimensional space showing the area enclosed by the shape.
From the figure given:
The figure can be differentiated into two shapes;
The volume of the rectangle is known as:
- = Length × Breadth
- = 7 inches × 6 inches
- = 42 inches²
The volume of the triangle is:
- = 1/2 × base × height
- = 1/2 × 3 × 6
- = 9 inches²
The total volume of the base of the fish tank now is:
- = 42 inches² + 9 inches²
- = 51 inches²
Now, the volume of the fish tank is:
- = Height × base of the fish tank
- = 8 inches × 51 inches²
- = 408 in³
Learn more about the volume of plane shapes here:
brainly.com/question/20475473
Answer:
C. with 3000 successes of 5000 cases sample
Step-by-step explanation:
Given that we need to test if the proportion of success is greater than 0.5.
From the given options, we can see that they all have the same proportion which equals to;
Proportion p = 30/50 = 600/1000 = 0.6
p = 0.6
But we can notice that the number of samples in each case is different.
Test statistic z score can be calculated with the formula below;
z = (p^−po)/√{po(1−po)/n}
Where,
z= Test statistics
n = Sample size
po = Null hypothesized value
p^ = Observed proportion
Since all other variables are the same for all the cases except sample size, from the formula for the test statistics we can see that the higher the value of sample size (n) the higher the test statistics (z) and the highest z gives the strongest evidence for the alternative hypothesis. So the option with the highest sample size gives the strongest evidence for the alternative hypothesis.
Therefore, option C with sample size 5000 and proportion 0.6 has the highest sample size. Hence, option C gives the strongest evidence for the alternative hypothesis
