Answer: 11
Step-by-step explanation: 2x^5 + 4x^4 – x^3 - x^2 + 7= 11
2x^2 - 1= 1
2x^5 + 4x^4 – x^3 - x^2 + 7 is divided by 2x^2 - 1.=11
Step-by-step explanation:
Let the two numbers be 20x and 10x
Then by the question,
20x + 10x = 300
or, 30x = 300
or, x = 300/ 30
x = 10
Now the larger number
20x = 20* 10 = 200.
Hope it will help you :)
Answer:
Step-by-step explanation:
16 x 28% = 4.48
16 x 72% = 11.52
16 x 172% = 27.52
16 x 128% = 20.48
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I dont know for the second one, sorry-
Answer:
Now we can calculate the p value. Since is a bilateral test the p value would be:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Step-by-step explanation:
Information given
n=900 represent the random sample selected
estimated proportion of residents favored annexation
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing the data given we got:
Now we can calculate the p value. Since is a bilateral test the p value would be:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Since the diameter is 6 cm, the radius is 3 cm. Use the area formula to get 113.04 cm squared. Then, you multiply that by the height of the rod, which is 20 cm. The volume of one rod is 2260.8 cm cubed. To find how much steel is needed for 189 rods, multiple the volume of one rod by 189. Your answer should be 427291.2 cm³.