Answer:
a 25 questions, 4 points b 19 questions
Step-by-step explanation:
a 96:100 = 24 : x
x = (100 x 24)/96 = 25 questions
100 : 25 = 4 points
b 76:100 = x : 25
x = (76 x 25)/100 = 19 questions
<span>B. The food supply diminishes in all socioeconmic classes.
</span>
Answer:
Step-by-step explanation:
Use consistent units. The length of the roller is 2.8 m. The diameter is 168 cm = 1.68 m
Circumference of roller = 1.68π m
Contact area of roller = 1.68π × 2.8 = 4.704π m²
Each rotation levels 4.704π m² of the playground.
Area of playground = 750 rotations × (4.704π m²)/rotation
= 3528π m²
≈ 11,084 m²
Answer: The value of test statistic is 0.696.
Step-by-step explanation:
Since we have given that
![n_1=1399\\\\x_1=411\\\\p_1=\dfrac{x_1}{n_1}=\dfrac{411}{1399}=0.294](https://tex.z-dn.net/?f=n_1%3D1399%5C%5C%5C%5Cx_1%3D411%5C%5C%5C%5Cp_1%3D%5Cdfrac%7Bx_1%7D%7Bn_1%7D%3D%5Cdfrac%7B411%7D%7B1399%7D%3D0.294)
Similarly,
![n_2=759, x_2=211\\\\p_2=\dfrac{x_2}{n_2}=\dfrac{211}{759}=0.278](https://tex.z-dn.net/?f=n_2%3D759%2C%20x_2%3D211%5C%5C%5C%5Cp_2%3D%5Cdfrac%7Bx_2%7D%7Bn_2%7D%3D%5Cdfrac%7B211%7D%7B759%7D%3D0.278)
At 0.01 level of significance.
Hypothesis are :
![H_0:P_1=P_2=0.5\\\\H_a:P_1\neq P_2](https://tex.z-dn.net/?f=H_0%3AP_1%3DP_2%3D0.5%5C%5C%5C%5CH_a%3AP_1%5Cneq%20P_2)
So, the test statistic value would be
![z=\dfrac{(p_1-p_2)-(P_1-P_2)}{\sqrt{\dfrac{P_1Q_1}{n_1}+\dfrac{P_2Q_2}{n_2}}}\\\\z=\dfrac{0.294-0.278}{\sqrt{0.5\times 0.5(\dfrac{1}{1399}+\dfrac{1}{759})}}\\\\z=\dfrac{0.016}{0.023}=0.696](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%28p_1-p_2%29-%28P_1-P_2%29%7D%7B%5Csqrt%7B%5Cdfrac%7BP_1Q_1%7D%7Bn_1%7D%2B%5Cdfrac%7BP_2Q_2%7D%7Bn_2%7D%7D%7D%5C%5C%5C%5Cz%3D%5Cdfrac%7B0.294-0.278%7D%7B%5Csqrt%7B0.5%5Ctimes%200.5%28%5Cdfrac%7B1%7D%7B1399%7D%2B%5Cdfrac%7B1%7D%7B759%7D%29%7D%7D%5C%5C%5C%5Cz%3D%5Cdfrac%7B0.016%7D%7B0.023%7D%3D0.696)
Hence, the value of test statistic is 0.696.