All categories

3 years ago

99 POINTS HELP ME HURRY

Mathematics

1 answer:

Stels [109]3 years ago

7 0

Answer:

c = sqrt(11)

Step-by-step explanation:

We can use the pythagorean theorem to calculate the length of the hypotenuse.

c^2 = a^2 +b^2 where a and b are the legs and c is the hypotenuse

c^2 = 3^2 + (sqrt(2))^2

c^2 = 9 + 2

c^2 =11

Take the square root of each side.

sqrt(c^2) = sqrt(11)

c = sqrt(11)

You might be interested in

The weights of 83 randomly selected windshields were found to have a variance of 1.88. Construct the 95% confidence interval for

Morgarella [4.7K]

Answer:

95% confidence interval for the population variance = (1.42 , 2.62).

Step-by-step explanation:

We are given that the weights of 83 randomly selected windshields were found to have a variance of 1.88.

So, firstly the pivotal quantity for 95% confidence interval for the population variance is given by;

P.Q. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2} __n_-_1$

where, $s^{2}$ = sample variance = 1.88

$\sigma^{2}$ = population variance

n = sample of windshields = 83

So, 95% confidence interval for population variance, $\sigma^{2}$ is;

P(58.85 < $\chi^{2} __8_2$ < 108.9) = 0.95 {As the table of $\chi^{2}$ at 82 degree of freedom

gives critical values of 58.85 & 108.9}

P(58.85 < $\frac{(n-1)s^{2} }{\sigma^{2} }$ < 108.9) = 0.95

P( $\frac{ 58.85}{(n-1)s^{2} }$ < $\frac{1 }{\sigma^{2} }$ < $\frac{108.9}{(n-1)s^{2} }$ ) = 0.95

P( $\frac{ (n-1)s^{2}}{108.9 }$ < $\sigma^{2}$ < $\frac{ (n-1)s^{2}}{58.85 }$ ) = 0.95

95% confidence interval for $\sigma^{2}$ = ( $\frac{ (n-1)s^{2}}{108.9 }$ , $\frac{ (n-1)s^{2}}{58.85 }$ )

= ( $\frac{ (83-1)\times 1.88}{108.9 }$ , $\frac{ (83-1)\times 1.88}{58.85 }$ )

= (1.42 , 2.62)

Therefore, 95% confidence interval for the population variance of the weights of all windshields in this factory is (1.42 , 2.62).

8 0

3 years ago

a recipe for salad dressing calls for 1/4 cup vinegar to 2/3 cup oil.how many cups of oil are needed for each cup of vinegar

hoa [83]

RQ33333333333333333333333333333333333333

7 0

4 years ago

At Kings Supermarket Clay bought 3 ½ pounds of tomatoes for $17.50. How much did he pay per pound of tomatoes?

hodyreva [135]

Achy uggjfjf unification gigivyc ig Gigi

4 0

3 years ago

Which answer describes the sequence {1,3,7,15,…} as a mathematical statement?

kotegsom [21]

Answer:

something to do with sets

Step-by-step explanation:

I think {odd numbers from 1 to 15 inclusive, there is something more to it but this is just a idea

7 0

3 years ago

Please help me answer this with the correct answer :)

Yuki888 [10]

Answer: b

Step-by-step explanation:

5 0

3 years ago