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3 years ago

What is the equation of a vertical line passing through the point (−4, 7)? y = 7 y = −4 x = 7 x = −4

Mathematics

2 answers:

Katen [24]3 years ago

8 0

The equation of the vertical line passing through point -4,7 would be X = -4.

BartSMP [9]3 years ago

5 0

Answer: The correct option is

(D) $x=-4.$

Step-by-step explanation: We are given to find the equation of a vertical line passing through the point (-4, 7).

We now that

a vertical line is always parallel to the y-axis and is of the form

$x=k~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Since the given vertical line passes through the point (-4, 7) so from equation (i), we have

$-4=k\\\\\Rightarrow k=-4.$

Substituting the value of k in equation (i), we get

$x=-4.$

Thus, the required equation of the line is $x=-4.$

Option (D) is CORRECT.

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75 yd 40 yd What is the length of the hypotenuse. Help

nadya68 [22]

Pythagorean Theorem
75^2+40^2=x^2
5625+1600=7225
Square root of 7225 is 85
So hypotenuse is 85 yd

8 0

3 years ago

A researcher surveyed 220 residents of a city about the number of hours they

olga55 [171]

Answer:

Margin of error of 0.0485 hours.

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:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

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

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

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 and n is the size of the sample.

In this question:

$\sigma = 0.35, n = 220$

The margin of error is of:

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

$M = 1.96\frac{0.35}{\sqrt{200}}$

$M = 0.0485$

Margin of error of 0.0485 hours.

5 0

3 years ago

7. In a state lottery, a player must choose 8 of the numbers from 1 to 40. The lottery commission then performs an experiment th

Vlad1618 [11]

Answer:a) P(8 of the players numbers are drawn)=1.3×10^-8

b) P(7 of the players number are drrawn)=3.33×10^-c) P(at least 6 of the players number were drawn)=1.84×10^-4

Step-by-step explanation:

Players has 8 combinations of numbers from 1-40. The outcome S contains all the combinations of 8 out of 40

a) P(8 of the players numbers are drawn)= 1/40/8= 1.3×10^-8

There are one in hundred million chances that the draw numbers are precisely the chosen ones.

b) Number of ways of drawing 78 selected numbers from 1-40=8×(40-7)

8×32

P(7 of the players number are drawn)=8×32/40 =3.33×10^-6.

There are approximately 300,000 chances that 7 of the players numbers are chosen

c) P(at least 6 players numbers are drawn)= 32/2×(8/6) ways to draw.

P(at least 6 players numbers are drawn)=P(all 8 chosen are drawn)+P(7 players numbers drawn)+P(6 chosen are drawn) = 1+ 8 x32/40/8 +[8\6 ×32/2]

P(at least 6 players numbers are drawn) = 1.84×10^-4.

There are approximately 5400chances that at least6 of the numbers drawn are chosen by the player.

5 0

3 years ago

(2 * 15x) + (2 * 10)

yan [13]

Answer:

$(2 \times 15x) + (2 \times 10) \\ = 30x + 20 \\ = 10(3x + 2)$

6 0

2 years ago

Read 2 more answers

Pls check the attachment :) f(x)=x^5-9x^3

Galina-37 [17]

Answer:

As x —> negative infinity, f(x) —> negative infinity

As x —> positive infinity, f(x) —> positive infinity.

Step-by-step explanation:

$y = {x}^{5} - 9 {x}^{3}$

An odd-degree function, meaning that the graph starts from negative infinity at x —> negative infinity and positive infinity at x —> positive infinity.

As x —> negative infinity, f(x) —> negative infinity

As x —> positive infinity, f(x) —> positive infinity.

An odd-degree function is an one-to-one function so whenever x approaches positive, f(x) will also approach positive.

5 0

3 years ago