Teachers receive a 10% discount at the apple store.If your favorite math teacher wants to buy a new
iPhone for $1199, how much will his/her total be?

Answers

Answer 1

Answer:

Answer:

The answer is $1,079.1

Step-by-step explanation:

you find what 10% of the total is and you would get 119.9. then, you subtract that from the total to get what the teachers total would be.

I'm sorry it's a terrible explanation, but I just did it really fast in my head

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Which of the following best explains why tan 5pi/6 does not equal to tan 5pi/3?A. The angles do not have the same reference angle.
B. Tangent is positive in the second quadrant and negative in the fourth quadrant.
C. Tangent is negative in the second quadrant and positive in the fourth quadrant.
D. The angles do not have the same reference angle or the same sign.

Answers

Option A. The angles do not have the same reference angle.

Explanation:

1) Angle 5π / 3 radians:

Convert radians to degrees: 5π/3 × 180° / π = 300°
300° is in the fourth quadrant
The reference angle for angles in the fourth quadrant is 360° - angle ⇒ 360° - 300° = 60°.
∴ The reference angle for this angle is 60°.

2) Angle 5π / 6 radians:

Convert radians to degrees: 5π/6 × 180° / π = 150°
150° is in the second quadrant
The reference angle for angles in the second quadrant is 180° - angle ⇒ 180° - 150° = 30°.
∴ The reference angle for this angle is 30°.

3) Conclusion:

Since the reference angles are different, the tangent ratios have different values.
tan (5π/3) = - tan(60°) = - √3
tan (5π/6) = - tan(30°) = - (√3)/3

Note that the tangent is negative in both second and fourth quadrants.

Answer:

The correct option is A.

Step-by-step explanation:

The first expression is,

$\tan ((5\pi)/(6))$

$\tan ((6\pi-\pi)/(6))$

$\tan (\pi-(\pi)/(6))$

The reference angle is $(\pi)/(6)$ . In second quadrant the sign of tangent is negative.

$-\tan ((\pi)/(6))$

$-(1)/(√(3))$

The second expression is,

$\tan ((5\pi)/(3))$

$\tan ((6\pi-\pi)/(3))$

$\tan (2\pi-(\pi)/(3))$

The reference angle is $(\pi)/(3)$ . In fourth quadrant the sign of tangent is negative.

$-\tan ((\pi)/(3))$

$-√(3)$

Since the sign are same but the reference angle is are different, therefore the correct option is A.

You read that a statistical test at the a 0. 01 level has probability 0. 14 of making a type ii error when a specific alternative is true. What is the power of the test against this alternative?

Answers

The power of the test against the specific alternative is given by 1 minus the probability of making a Type II error. Therefore, the power is 0.86= 86%

In statistical hypothesis testing, the power of a test is the probability that it correctly rejects a null hypothesis when a specific alternative hypothesis is true. In this case, we are given that the test has a significance level of α = 0.01, which means that the test rejects the null hypothesis if the probability of obtaining the observed result, or one more extreme, under the null hypothesis is less than 0.01.

However, we also know that when a specific alternative hypothesis is true, the test has a probability of making a Type II error of 0.14. This means that there is a 14% chance that the test fails to reject the null hypothesis, even though the alternative hypothesis is true.

Therefore, the power of the test against this specific alternative hypothesis is given by 1 minus the probability of making a Type II error, which is:

Power = 1 - P(Type II error) = 1 - 0.14 = 0.86

So, the power of the test against the specific alternative hypothesis is 0.86 or 86%. This means that when the alternative hypothesis is true, the test correctly rejects the null hypothesis 86% of the time.

To learn more about probability Click here:
brainly.com/question/30034780

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A researcher selects a sample of participants to test for differences in employment rates among part-time and full-time teachers. Because there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job sector. Which type of quota sampling was used in this example

Answers

Answer: proportionate

Step-by-step explanation:

Proportional quota sampling is when the total number of people that are to be surveyed are decided in advance. This form of sampling is usually used in opinion polls and surveys.

Since due to the fact that there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job, then this was decided in advance and indicates the proportionate quota sampling.

solve by substitution ( show steps)

y=3x+2

3x-y=2

Answers

$\left\{\begin{array}{ccc}y=3x+2\n3x-y=2\end{array}\right\n\nsubstitute\n\n3x-(3x+2)=2\n3x-3x-2=2\n-2=2-FALSE\n\nAnswer:No\ solution$

$y=3x+2\n 3x-y=2\n\n 3x-(3x+2)=2\n 3x-3x-2=2\n -2=2\n x\in\emptyset \Rightarrow y\in\emptyset$

Jason and Kyle both choose a number from 1-10 at random what is the probability that both numbers are odd

Answers

1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

There are 5 odd numbers from 1 to 10.

So, the probability of choosing a odd number is going to be

$(5)/(10)$

$(1)/(2)$

So, the probability forone person is 0.5

And the same goes for the other person. So, you multiply 0.5 by itself. So the probability is going to be (0.5*0.5) = 0.25

Jason:
$(odd)/(total) \n = (5)/(10) \n = (1)/(2)$
Kyle:
$(odd)/(total) \n = (5)/(10) \n = (1)/(2)$

Now, multiply the two probabilities together:
$(1)/(2) * (1)/(2) \n (1*1)/(2*2) \n (1)/(4)$

The answer is 1/4, or .25

Hope this helps!

What is 62 in expanded form? a. 36 b. 12 c. 6 × 6 d. 2 × 2 × 2 × 2 × 2 × 2