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3 years ago

What are the steps to this?

Mathematics

1 answer:

Volgvan3 years ago

5 0

Answer:

Start at the positive

-axis, then rotate left by the desired angle.

Explanation:

Standard position means the first arm of the angle is the positive

-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.

As a basic example, the symbol

∠

is about a 45° angle in standard position.

To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.

If our angle was 90°, the terminal arm would be on the positive

-axis.

If our angle was 180°, it would be on the negative

-axis.

Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.

graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}

(ignore the part of the line in quadrant 4)

Step-by-step explanation:

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SVEN [57.7K]

It whould be 8 because if you divide it

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3 years ago

A survey of 1,562 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying techn

tester [92]

Answer:

a) We want to test the claim that 35% of adults have heard of the new electronic reader, then the system of hypothesis are.:

Null hypothesis: $p=0.35$

Alternative hypothesis: $p \neq 0.35$

And is a two tailed test

b) $z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326$

c) $p_v =2*P(z$

d) Null hypothesis: $p=0.35$

e) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

Step-by-step explanation:

Information provided

n=1562 represent the random sample selected

X=522 represent the people who have heard of a new electronic reader

$\hat p=\frac{522}{1562}=0.334$ estimated proportion of people who have heard of a new electronic reader

$p_o=0.35$ is the value to verify

$\alpha=0.05$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Part a

We want to test the claim that 35% of adults have heard of the new electronic reader, then the system of hypothesis are.:

Null hypothesis: $p=0.35$

Alternative hypothesis: $p \neq 0.35$

And is a two tailed test

Part b

The statistic for this case is given :

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326$

Part c

We can calculate the p value using the laternative hypothesis with the following probability:

$p_v =2*P(z$

Part d

The null hypothesis for this case would be:

Null hypothesis: $p=0.35$

Part e

The best conclusion for this case would be:

Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

5 0

3 years ago

Can you guys help me out pls

maks197457 [2]

D. 1.0002

Probabilities can only go up to 100%, or 1. 1.0002 is greater than 1.

5 0

3 years ago

Peter learns the following: A cheetah travels about 0.15 kilometers in 5 seconds. A snail travels about 1.5 centimeters in 5 sec

NNADVOKAT [17]

Cheetah travels 0.15 km in .....................5 seconds or
15000 cm ......................5 seconds

a snail travels 1.5 cm in ...........................5 seconds
the cheetah travels in 5 seconds 15000-1.5=14998.50 cm which is equal to
149.985 meters which is choice A

4 0

3 years ago

Pls hellpp! urgentt! please

Masja [62]

Answer:

Step-by-step explanation:

Perimeter of Square = 40 cm

4*side = 40

side = 40/4

side = 10 cm

Area of shaded region= Area of square - [Area of triangle 1 + Area of triangle 2]

$=[side*side]-[\frac{1}{2}*b*h+\frac{1}{2}*b*h]\\\\=[10*10]-[\frac{1}2}*3*10+\frac{1}{2}*10*6]\\\\=100-[3*5+5*6]\\\\=100-[15+30]\\\\=100-45\\\\=55cm^{2}\\$

Percentage = (55/100)*100=55%

6 0

3 years ago