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2 years ago

HELP!!THANKS FOR ACCURACY

Mathematics

1 answer:

anyanavicka [17]2 years ago

5 0

$\bf tan^2(x)-1=0\implies tan^2(x)=1\implies tan(x)=\pm\sqrt{1} \\\\\\ tan^{-1}[tan(x)]=tan^{-1}(\pm 1)\implies x=tan^{-1}(\pm 1)\implies x= \begin{cases} \frac{\pi }{4}\\\\ \frac{3\pi }{4}\\\\ \frac{5\pi }{4}\\\\ \frac{7\pi }{4} \end{cases}$

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It's 12 points of u get this right

earnstyle [38]

Answer:

y = -2x + 8

Step-by-step explanation:

When two points are given, the equation of the line passing through the points is given by:

$\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}$

where: $(x_1,y_1)$ and $(x_2,y_2)$ are the two points passing through the line.

Here, $(x_1,y_1) = (2,4)$ and $(x_2, y_2) = (3,2)$ .

Substituting in the formula, we have:

$\frac{y - 4}{2 - 4} = \frac{x - 2}{3 - 2}$

⇒ $\frac{y - 4}{-2} = \frac{x - 2}{1}$

⇒ y - 4 = -2x + 4

⇒ y = -2x + 8 is the required equation of the line.

4 0

3 years ago

The average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 in

Murrr4er [49]

Answer:

Probability that average height would be shorter than 63 inches = 0.30854 .

Step-by-step explanation:

We are given that the average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 inches.

Also, a random sample of 4 women from this population is taken and their average height is computed.

Let X bar = Average height

The z score probability distribution for average height is given by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 64 inches

$\sigma$ = standard deviation = 4 inches

n = sample of women = 4

So, Probability that average height would be shorter than 63 inches is given by = P(X bar < 63 inches)

P(X bar < 63) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{63-64}{\frac{4}{\sqrt{4} } }$ ) = P(Z < -0.5) = 1 - P(Z <= 0.5)

= 1 - 0.69146 = 0.30854

Hence, it is 30.85% likely that average height would be shorter than 63 inches.

7 0

3 years ago

If a inequality has a closed dot what does it mean in terms of possible solutions

VMariaS [17]

Answer:

This means the dot IS a part of the solution.

Step-by-step explanation:

A closed dot means it is included, but an open dot means it is not included.

7 0

3 years ago

Y=x+3 y=3x+1 A. (1,3) B. (0,1) O C. (0,3) D. (1.4)

guajiro [1.7K]

Answer:

D: (1, 4)

Step-by-step explanation:

You can either solve by substitution or elimination. If you are timed, the fastest way is to guess and check (plug-in the answer choices)

I will be using substitution to solve this:

Step 1: Since you have y already, you can set them equal to each other

x+3 = 3x+1

3 = 2x +1

2 = 2x

x = 1

Step 2: Now you have x, plug x into one of the original equations. In this case, I will use the first one

y = 1 + 3

y = 4

Step 3: Now write your answer as a coordinate plane point

x = 1, y = 4

(1, 4)

6 0

2 years ago

Read 2 more answers

Help me with #16, and explain. Please

Rzqust [24]

2a-9 +a = 90 degrees

3a -9 = 90

3a = 99

a = 33

angle GEF is 33 degrees

4 0

3 years ago