Answer:
16
Step-by-step explanation:
The ratio fo the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
In a 30-60-90 triangle, the length of the short leg is the length of the long leg divided by sqrt(3).
The length of the short leg is 8 cm.
The length of the hypotenuse is twice the length of the short leg.
g = 2 * 8 cm = 16 cm
Answer:
Correct option: (D).
Step-by-step explanation:
The hypothesis for testing whether there is a difference between the two population proportions is:
<em>H₀</em>: The population proportion of students who drive to school for R and S is same, i.e. <em>p</em>₁ = <em>p</em>₂.
<em>Hₐ</em>: The population proportion of students who drive to school for R was greater than that for S, i.e. <em>p</em>₁ > <em>p</em>₂.
The difference between the two sample proportion is,
![\hat p_{1}-\hat p_{2}=0.07](https://tex.z-dn.net/?f=%5Chat%20p_%7B1%7D-%5Chat%20p_%7B2%7D%3D0.07)
And the <em>p</em>-value of the test is:
<em>p</em>-value = 0.114
The <em>p</em>-value is well defined as the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.
We reject a hypothesis if the <em>p</em>-value of a statistic is lower than the level of significance <em>α</em>.
The <em>p-</em>value of 0.114 indicates that, assuming the null hypothesis to be true, the probability of obtaining a difference between the two sample proportions of at least 0.07 is 0.114.
The correct option is (D).
Answer:
Step-by-step explanation:
Get the perimeter of the each shape and add it all up to get the total fencing material required.
2 square flower beds = 2 x 4a = 8a
1 rectangular play ground = 2l + 2w
total fencing material = 8a + 2l + 2w
1.99 or 199/100 or 1 99/100
2.25 or 9/4 or 2 1/4
Answer: ![\dfrac{1}{7}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B7%7D)
Step-by-step explanation:
Given
A cube is rolled 84 times
2 occurred 12 times
Experimental probability is determined by the use of data obtained in the experiment.
Therefore, the experimental probability of obtaining 2 on 84 rolls of the die is
![\Rightarrow P=\dfrac{12}{84}\\\\\Rightarrow P=\dfrac{1}{7}](https://tex.z-dn.net/?f=%5CRightarrow%20P%3D%5Cdfrac%7B12%7D%7B84%7D%5C%5C%5C%5C%5CRightarrow%20P%3D%5Cdfrac%7B1%7D%7B7%7D)