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2 years ago

Helppleaseplease please

Mathematics

1 answer:

Artist 52 [7]2 years ago

5 0

Answer:

Step-by-step explanation:

A triangles angles always sum up to 180 degrees. Since you already have 1 angle which is 43 degrees you will do 180-43 which is 137. The only angles that add up to 137 degrees is letter B.

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3. Write equations of two lines, one with an x-intercept but no y-intercept and one with a y-intercept but

Vesnalui [34]

X = 50 (Is parallel to the y-axis so there is no intersection point)
Y= 40 (Is parallel to the x-axis so there is no intersection point)
Both no intercept with the other

6 0

3 years ago

How do yo find slope

Yuliya22 [10]

X2 minus x1/y2 minus y1 is how u find slope

6 0

3 years ago

How do you solve 8a squared plus 2 = 634

Inga [223]

Answer:

a ≈ 8.9

Step-by-step explanation:

Set up the equation as so:

8a^2 + 2 = 634

First, subtract two from both sides:

8a^2 = 632

Then, divide by 8 to further isolate the variable.

a^2 = 79

To get rid of the squared, you have to take the square root of both sides. The square root of 79 is roughly 8.9. Ergo, a ≈ 8.9

8 0

3 years ago

(1) Let {v1,v2,v3} be a set of vectors in Rn . If u is Span {v1,v2,v3}, show that 3u is in Span {v1,v2,v3}.

Evgesh-ka [11]

Answer:

(1)

Multiplying by 3 both sides of the equality you get that

$3u = 3c_1v_1+3c_2v_2+3c_3v_3$

3u is in the Span of the vectors $\{v_1,v_2,v_3\}$ .

(2)

That's not true, consider the following counter example.

$v_1 = (0,0,0,1)\\v_2 = (0,0,1,0)\\v_3 = (0,1,0,0)\\v_4 = (1,0,0,0)\\u = (0,1,1,1)$

$u$ is a linear combination of $v_1,v_2,v_3$ but is NOT a linear combination of $v_1,v_2,v_3,v_4.$

Step-by-step explanation:

(1)

As the hint indicates, you know that

$u = c_1 v_1 + c_2v_2+c_3v_3$

Then, if you multiply both sides of the equality by 3, you get that

$3u = 3c_1v_1+3c_2v_2+3c_3v_3$

And that's it. 3u is in the Span of the vectors $\{v_1,v_2,v_3\}$

(2)

That's not true, consider the following counter example.

$v_1 = (0,0,0,1)\\v_2 = (0,0,1,0)\\v_3 = (0,1,0,0)\\v_4 = (1,0,0,0)\\u = (0,1,1,1)$

$u$ is a linear combination of $v_1,v_2,v_3$ but is NOT a linear combination of $v_1,v_2,v_3,v_4.$

4 0

3 years ago

The travel-to-work time for residents in Ventura County is unknown. Assume the population variance is 39. How large should a sam

katen-ka-za [31]

Answer:

A sample size of 128 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.93}{2} = 0.035$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.035 = 0.965$ , so $z = 1.81$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population(square root of the variance) and n is the size of the sample.

How large should a sample be if the margin of error is 1 minute for a 93% confidence interval

We need a sample size of n, which is found when $M = 1$ . We have that $\sigma = \sqrt{39}$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$1 = 1.81*\frac{\sqrt{39}}{\sqrt{n}}$

$\sqrt{n} = 1.81\sqrt{39}$

$(\sqrt{n})^2 = (1.81\sqrt{39})^2$

$n = 127.8$

Rounding up

A sample size of 128 is needed.

7 0

3 years ago