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3 years ago

9

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1 answer:

Alja [10]3 years ago

8 0

Answer: A 40 feet

Explanation:
If a building is 380 feet tall and the elevator has to descend 420 feet to get to the underground parking garage. So 420 - 380 to remove the height of the building from the equation. This would give us 40 feet underground left until the elevator reaches its desired destination.

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The line passing through (-2,5) and (2,p) has a gradient of -1/2. <br><br> Fnd the value of p

makkiz [27]

Given:

The line passing through (-2,5) and (2,p) has a gradient of $-\dfrac{1}{2}$ .

To find:

The value of p.

Solution:

If a line passes through two points, then the slope of the line is:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

The line passing through (-2,5) and (2,p). So, the slope of the line is:

$m=\dfrac{p-5}{2-(-2)}$

$m=\dfrac{p-5}{2+2}$

$m=\dfrac{p-5}{4}$

It is given that the gradient or slope of the line is $-\dfrac{1}{2}$ .

$\dfrac{p-5}{4}=-\dfrac{1}{2}$

On cross multiplication, we get

$2(p-5)=-4(1)$

$2p-10=-4$

$2p=-4+10$

$2p=6$

Divide both sides by 2.

$p=3$

Therefore, the value of p is 3.

4 0

3 years ago

Identify the parent function that can be used to graph the function f(x)=-6[1/2x+3]+2/3

Sedaia [141]

Answer:

B

Step-by-step explanation:

8 0

3 years ago

Wich function is described by the value in the table

kolbaska11 [484]

The table isn’t shown so I cant tell

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3 years ago

Write the equation in slope intercept form when slope = 6/5 and the y- intercept =-8

Ratling [72]

Step-by-step explanation:

Exercícios:

9. Sobre o estudo de equações, escreva V para as afirmações verdadeiras e F para as falsas.

a) ( ) A expressão 17 - 4x + 25 representa uma equação.

b) ( ) O número 23 representa um dos membros da equação -9x + 4 = 23.

c) ( ) Na equação x + 4 = 3x + 20, a incógnita é x.

d) ( ) A equação 3y - 15 = 0 não tem segundo membro.

7 0

3 years ago

It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate

Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

$\sigma^2 = 484\\\sigma =\sqrt{484} = 22$

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

$E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get

$E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373$

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0

3 years ago