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3 years ago

Given__________

Mathematics

1 answer:

Ludmilka [50]3 years ago

7 0

Answer:

plane containing a line

Step-by-step explanation:

In accordance with a plane postulate corollary, it is concluded that, for a given PLANE CONTAINING A LINE, there is one and only one perpendicular line through a given point on the line.

Hence, in this case, the correct complete statement is written as: Given PLANE CONTAINING A LINE there is one, and only one, a line perpendicular to the plane through that point.

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Find a unit vector in the same direction as the given vector: v = −14.5i + 2.5 j.

Elis [28]

ANSWER

$- \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j$

EXPLANATION

The given vector is v = −14.5i + 2.5 j.

The magnitude of this vector is

$|v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} }$

$v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} }$

$v| = \sqrt{ 216.5} = \frac{ \sqrt{866} }{2}$

The unit vector in the direction of this vector is

$= \frac{v}{ |v| }$

$= - \frac{14.5}{ \frac{ \sqrt{866} }{2} } i + \frac{2.5}{ \frac{ \sqrt{866} }{2} } j$

$= - \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j$

7 0

3 years ago

The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variab

Alex17521 [72]

Answer: 1.645

Step-by-step explanation:

Given : The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variabilities in the amount of soda in the company's 16 OZ bottles is more than the variabilities in the company's 12 OZ bottles.

Let $\sigma_1^2$ represents the variance for 16 OZ bottles and $\sigma_2^2$ represents the variance for 12 OZ bottles.

The Null and Alternative Hypothesis will be :-

$H_0:\sigma_1^2\geq\sigma_2^2$

$H_1:\sigma_1^2$ , since alternative hypothesis is left-tailed , then the test is left-tailed test.

By using the standard normal distribution table for z, the critical value for this hypothesis:-

$z_{\alpha}=z_{0.05}=1.645$

6 0

4 years ago

Read 2 more answers

13. f(x) = -x + 4x^3 -2

Oksi-84 [34.3K]

Answer:

x = 5

Step-by-step explanation:

7 0

3 years ago

$300 at 6% for 3 years

Charra [1.4K]

Its I=prt
so plug it in
I=300(.06)3 i got .06 because you have 6% you have to move the decimal the left twice 0.06 is what you get
now its basic multiplying
300 times .06 times 3
so it would be 54
I=$54
the balence you get from adding the P to the I so the balence would be 356
Bal=$356

7 0

3 years ago

For what value of k does the graph of y = x²-3x-k pass through the point (-1,2)?

gavmur [86]

The value of k should be 2.
if you plug the y value of the point in the equation for y and do the same with x you should be able to get this answer after fallowing the order of operation.

5 0

4 years ago