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3 years ago

Which of the following best describes the slope of the line below

Mathematics

1 answer:

adoni [48]3 years ago

8 0

Answer:

B. Negative

Step-by-step explanation:

A line that has a negative "rise" (vertical change) for a positive "run" (horizontal change) has a negative slope. The slope is calculated from rise/run, so if the signs of rise and run are different, the slope is negative.

Any line that goes downward to the right has negative slope.

_____

Any line that goes upward to the right has positive slope.

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Construct the confidence interval for the population mean mu. c = 0.90, x = 16.9, s = 9.0, and n = 45. A 90% confidence inte

Georgia [21]

Answer:

The 90% confidence interval for population mean is $14.7 < \mu < 19.1$

Step-by-step explanation:

From the question we are told that

The sample mean is $\= x = 16.9$

The confidence level is $C = 0.90$

The sample size is $n = 45$

The standard deviation

Now given that the confidence level is 0.90 the level of significance is mathematically evaluated as

$\alpha = 1-0.90$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the standardized normal distribution table. The values is $Z_{\frac{\alpha }{2} } = 1.645$

The reason we are obtaining critical values for $\frac{\alpha }{2}$ instead of that of $\alpha$ is because $\alpha$ represents the area under the normal curve where the confidence level 1 - $\alpha$ (90%) did not cover which include both the left and right tail while $\frac{\alpha }{2}$ is just considering the area of one tail which is what we required calculate the margin of error

Generally the margin of error is mathematically evaluated as

$MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$MOE = 1.645* \frac{ 9 }{\sqrt{45} }$

$MOE = 2.207$

The 90% confidence level interval is mathematically represented as

$\= x - MOE < \mu < \= x + MOE$

substituting values

$16.9 - 2.207 < \mu < 16.9 + 2.207$

$14.7 < \mu < 19.1$

3 0

3 years ago

Write y - 2x = 1/2 in slope intercept form

Kruka [31]

Y = 2x + 0.5

or
y = 2x + 1/2

6 0

3 years ago

Read 2 more answers

A certain semiconductor device requires a tunneling probability of T = 10-5 for an electron tunneling through a rectangular barr

Goryan [66]

Answer:

Generally the barrier width is $a = 1.9322 *10^{-9} \ m$

Step-by-step explanation:

From the question we are told that

The tunneling probability required is $T = 1 * 10^{-5}$

The barrier height is $V_o = 0.4 eV$

The electron energy is $E = 0.08eV$

Generally the wave number is mathematically represented as

$k = \sqrt{ \frac{2 * m [V_o - E]}{\= h^2} }$

Here m is the mass of the electron with the value $m = 9.11 *10^{-31} \ kg$

h is is know as h-bar and the value is $\= h = 1.054*10^{-34} \ J \cdot s$

$k = \sqrt{ \frac{2 * 9.11 *10^{-31 } [0.4 - 0.04] * 1.6*10^{-19}}{[1.054*10^{-34}^2]} }$

=> $k = 3.073582 *10^{9} \ m^{-1}$

Generally the tunneling probability is mathematically represented as

$T = 16 * \frac{E}{V_o } * [1 - \frac{E}{V_o} ] * e^{-2 * k * a}$

$1.0 *10^{-5} = 16 * \frac{0.04}{0.4 } * [1 - \frac{0.04}{0.4} ] * e^{-2 * 3.0736 *10^{9} * a}$

=> $6.944*10^{-6}= e^{-2 * 3.0736 *10^{9} * a}$

Taking natural log of both sides

$ln[6.944*10^{-6}] = -2 * 3.0736 *10^{9} * a}$

=> $-11.8776 = -2 * 3.0736 *10^{9} * a}$

=> $a = 1.9322 *10^{-9} \ m$

4 0

2 years ago

Dada la circunferencia de ecuación x 2 +y 2 -2x+4y-4=0, hallar el centro y el radio.

Anna11 [10]

La forma estándar de una ecuación de un círculo es% 28x-h% 29% 5E2 +% 2B +% 28y-k% 29% 5E2 + = + r% 5E2

donde Pt (h, k) es el centro y r es el radio

x ^ 2 + y ^ 2-10x + 4y + 4 = 0

completando los cuadrados para ponerlos en la forma estándar

x ^ 2 -10x + y ^ 2 + 4y + 4 = 0

(x-5) ^ 2-25 + (y +2) ^ 2-4 + 4 = 0

(x-5) ^ 2 + (y + 2) ^ 2 = 25

El centro es (5, -2) radio = 5

4 0

3 years ago

each homeroom of reedurban middle school receives 1/12 acre plot of the land shown. how many homerooms receive a plot of land?

Andrei [34K]

I probably did this wrong but i think its 21780.....cause i timed an acre by 1/2 to get that answer <span />

7 0

3 years ago