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Temka [501]
3 years ago
14

To test the claim that the resistance of electric wire can be reduced by more than 0.050 ohm by alloying, thirty two (32) values

were obtained for standard wire, and the sample average calculated was equal to 0.136 ohm. In addition, thirty two (32) values were obtained for alloyed wire, and the sample average calculated was equal to 0.083 ohm. The standard deviation resistance for standard wire is known to be 0.004 ohm, whereas the standard deviation resistance for alloyed wire is known to be 0.005. At the level of significance=0.05, does this support the claim?
The z score for this test is z0 =

The p-value for this test is p =

Based on the p-value calculated above, the decision is to fail to reject H0 at a level of significance =0.05 and conclude that the resistance of electric wire can't be reduced by more than 0.05 ohm by alloying. Enter 0 if this statement is FALSE or 1 otherwise:

Mathematics
1 answer:
melisa1 [442]3 years ago
5 0

Answer:

DEtailed solution is given below:

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30% of all the students in a school are in a play all students except for 140 are in the play how many students are in the schoo
Bezzdna [24]
To figure out how many kids are in the school, you must set up an equation with x representing the number of students. 30% of the students are in the play, so that would be represented by 0.3x. We also know that 140 students are not in the play, that could be represented by x-140. These two equations will equal each other since they both represent the same information, which is the number of children in the play. You set those two equations equal to one another (0.3x = x-140). You then can add 140 to the left side of the equation and subtract 0.3x from the right side. We do this in order to get both values of x on the same side of the equation. We then can simplify the right side of the equation by subtracting 0.3x from 1x. We get 0.7x. Our equation now looks like 140 = 0.7x. We must now divide each side of the equation by 0.7 in order to get the x all by itself and find its value. 140 divided by 0.7 is 200. The number of students in the school is 200.
3 0
3 years ago
Which components are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15?
Black_prince [1.1K]

Answer:

<-3,4>

<0,-5>

Step-by-step explanation:

|-3w| = 15

3|-w| = 3|w| = 15

|w| = \frac{15}{3}

|w| = 5

  • If vector w is represented by <1,-9>

Then |w| = \sqrt{(1)^{2}+(-9)^{2}}=\sqrt{1+81}=\sqrt{82}\neq5 .

Therefore this is not possible.

  • If vector w is represented by <-3,4>

Then |w| = \sqrt{(-3)^{2}+(4)^{2}}=\sqrt{9+16}=\sqrt{25}=5 .

Therefore this is possible.

  • If vector w is represented by <4,5>

Then |w| = \sqrt{(4)^{2}+(5)^{2}}=\sqrt{16+25}=\sqrt{41}\neq5 .

Therefore this is not possible.

  • If vector w is represented by <-5,-3>

Then |w| = \sqrt{(-5)^{2}+(-3)^{2}}=\sqrt{25+9}=\sqrt{34}\neq5 .

Therefore this is not possible.

  • If vector w is represented by <0,-5>

Then |w| = \sqrt{(0)^{2}+(-5)^{2}}=\sqrt{0+25}=\sqrt{25}=5 .

Therefore this is possible.

(NOTE : if z vector is represented by <x,y> then |z| = \mathbf{\sqrt{x^{2}+y^{2}}} )

4 0
3 years ago
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