Find the percent of change. Round to the nearest whole percent & state whether the percent of change is an increase or a decrease.


If the regular price of a new bike is $115 and the sale price is $90, find the percent of decrease to the nearest whole percent.

Answer:

[tex]\displaystyle \sin(\theta)= \frac{\sqrt{17}}{17}[/tex]

[tex]\displaystyle \cos(\theta)= \frac{4 \sqrt {17} }{ 17 }[/tex]

Step-by-step explanation:

We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.

First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.

Recall that tangent is the ratio of the opposite side to the adjacent side.

Therefore, the hypotenuse is:

[tex]h=\sqrt{4^2+1^2}=\sqrt{16+1}=\sqrt{17}[/tex]

So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.

Then it follows that:

[tex]\displaystyle \sin(\theta)=\frac{1}{\sqrt{17}} = \frac{\sqrt{17}}{17}[/tex]

And that:

[tex]\displaystyle \cos(\theta)= \frac{4}{\sqrt{17}} = \frac{4 \sqrt {17} }{ 17 }[/tex]

Answer:

10

Step-by-step explanation:

Answer:

962891995

Step-by-step explanation:

Answer:

962,892,713

Step-by-step explanation:

1. 303 x 303 x 23 x 456 - 7

2. 91809 x 23 x 456 -79

3. 2111607 x 456 - 79

4. 962892792 - 79

5. 962,892,713

Hope that helps

Answer:

X= 1

(If correct please mark brainliest. :))

Step-by-step explanation:

Answer:

The point will have both a positive x value and a positive y value.

Step-by-step explanation:

Since the question leads me to believe this is multiple choice but there are no choices provided, I will do my best to guess what it is wanting.

Answer:

90°

Step-by-step explanation:

Answer:

3x^2+2x-8 is the answer

Answer:

A unit multiplier (or conversion factor) is a fraction with value 1 that we use to convert quantities. Because the value of every unit multiplier is 1, we can multiply any quantity by them, without changing their value. Principles behind the technique: ! We never change the value of a quantity if we multiply it by 1.

Step-by-step explanation:

hope this help:)

Answer: Yogi has 59 chairs.

Step-by-step explanation: For the question, it's a lot of guess an check. 10 is a good place to start. Times 10 by 8 and add 3. Then times 6 by 10 and add 17. Does it equal the same number? No. Is it close? Yes. So maybe try going up a few numbers or down a few. You'll eventually get 7 which when you multiple 7 by 8 and add 3 and multiple 6 by 10 and add 17, you'll get 59.

Answer:

Alr what do you need help with

Answer:

The​ 90% confidence interval is ($105.55,$111.45)

The 95% confidence interval is ($104.98,$112.02)

The 95% confidence interval is wider.

C. You can be​ 90% confident that the population mean price of the stock is between the bounds of the​ 90% confidence​interval, and​ 95% confident for the​ 95% interval.

Step-by-step explanation:

90% confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

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

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{11.36}{\sqrt{40}} = 2.95[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 108.50 - 2.95 = $105.55

The upper end of the interval is the sample mean added to M. So it is 108.50 + 2.95 = $111.45

The​ 90% confidence interval is ($105.55,$111.45)

95% confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

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

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{11.36}{\sqrt{40}} = 3.52[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 108.50 - 3.52 = $104.98

The upper end of the interval is the sample mean added to M. So it is 108.50 + 3.52 = $112.02

The 95% confidence interval is ($104.98,$112.02)

Which interval is​ wider?

The 95% confidence interval has a larger margin of error, so it is wider.

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

So the correct interpretation is:

C. You can be​ 90% confident that the population mean price of the stock is between the bounds of the​ 90% confidence​interval, and​ 95% confident for the​ 95% interval.

Answer:

Angle 1

Step-by-step explanation:

Supplementary = Two angles that has a sum of 180 degrees

Angle 1 + Angle 2 = 180 degrees

Answer:

=19x−8 is your answer

Step-by-step explanation:

=7x−11+−1(−12x−3)

=7x+−11+−1(−12x)+(−1)(−3)

=7x+−11+12x+3

Combine Like Terms:

=7x+−11+12x+3

=(7x+12x)+(−11+3)

=19x+−8

Answer:

19x-8

Step-by-step explanation:

7x plus -12x is 19x. you then subtract 11 from 3 and you get 8

Answer:

420^69

Step-by-step explanation:

Blazen it

Answer:

-95.1428571429

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

You can make 8 severvings. Makes me hungry rn

Step-by-step explanation:

40 divided by 5 gives the answer

Answer:

8x² - 14x - 15

Step-by-step explanation:

(4x + 3)(2x - 5)

8x² - 20x + 6x - 15

8x² - 14x - 15

Answer:

Step-by-step explanation:

Use FOIL, first outside inside last.

4x*2x - 5*4x + 3*2x - 3*5

[tex]8x^2-20x+6x-15\\8x^2-14x-15\\[/tex]

Answer:

it is 0.07157894737 I am sure

Answer:

Obtuse angle

Step-by-step explanation:

Answer:

Its an obtuse angle pliz mark brainliest

Answer:

(a)

[tex]S = \{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]

(b)

[tex]P(A) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

The above sample space

A = Event of an occurrence of 3 or 4 then a head

(a): List out the sample space:

The rolls of the dice come first, followed by the toss of the coin.

So, the sample space are:

[tex]S = \{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]

The number of the sample space is:

[tex]n(S) = 12[/tex]

(b): Find P(A)

First, we list out the outcomes of event A

[tex]A = \{(3,H),(4,H)\}[/tex]

The number of outcome is:

[tex]n(A) = 2[/tex]

The probability of A is then calculated as:

[tex]P(A) = \frac{n(A)}{n(S)}[/tex]

[tex]P(A) = \frac{2}{12}[/tex]

Simplify fraction

[tex]P(A) = \frac{1}{6}[/tex]

Answer:

True

Step-by-step explanation:

Answer:

Its false

Step-by-step explanation:

It cant increase

Answer:

it issss false

Answer:

pluto, rhea, theres more but theres a lot but we call them planetoids

Step-by-step explanation:

Answe:

Haumea, Pluto, and Makemake

Step-by-step explanation:

i think