if sinθ =1/3 what are the values of cosθ and tanθ​

Answer:

a. Assume that the population has a normal distribution.

b. The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.

Step-by-step explanation:

Question a:

We have to assume normality.

Question b:

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{35}{\sqrt{29}} = 10.69[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 230 - 10.69 = 219.31 days.

The upper end of the interval is the sample mean added to M. So it is 230 + 10.69 = 240.69 days.

The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.

Answer:

1/2 base × height

Step-by-step explanation:

a triangle has three sides and if we divide it into two, we have two right angle triangle in which we are using one part. that why it is 1/2 base x height

Answer:

You legit just told yourself

Step-by-step explanation:

[tex]\frac{1}{2}*b*h[/tex] IS the equation to represent the area of a triangle.

Answer:

Step-by-step explanation:

x is the independent variable. y is the dependent variable.

Dependent variables take their values based on values of independent variables. In the considered case, we have:

Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.

If a variable is taking its values independently of any visible direct cause,  then that variable is called independent variable.

The variables who take their values based on some other variables' values are called dependent variables.

For the considered case, the two variables in consideration are:

Time doesn't depend on number of stitches. Its thus, measuring an independent quantity.

The total number of stitches depends on how much time it passed since sewing. So the quantity 'y' depends on the value of 'x'

Thus, variable 'y' is dependent variable.

Therefore, in the considered case, we have:

Learn more about dependent and independent quantities here:

https://brainly.com/question/19622665

Answer:

Adjacent

Step-by-step explanation:

∠3 and ∠4 share a common vertex & arm

Answer:

jkh and ihk

Step-by-step explanation:

Answer:

<JHK and IHK

Step-by-step explanation:

Answer:

here's the graph

Step-by-step explanation:

Answer:

9^5

Step-by-step explanation:

9 x 9 x 9 x 9 x 9 can be written as an exponent form 9⁵.

To rewrite 9 x 9 x 9 x 9 x 9 using an exponent, we can represent the repeated multiplication with the base 9 raised to the power of 5. Here's how:

9 x 9 x 9 x 9 x 9 = 9⁵

In this expression, the base is 9, and the exponent is 5. The base represents the number being multiplied repeatedly, and the exponent represents the number of times it is multiplied.

Using the exponent notation, we can simplify and express the result more concisely. The exponent 5 indicates that the base 9 is multiplied by itself five times.

Therefore, 9 x 9 x 9 x 9 x 9 can be written as 9⁵.

To learn more about the exponents;

brainly.com/question/30066987

#SPJ6

Answer:

39

Step-by-step explanation:

You should use the pythagorean theorem!

Answer:

[tex]x = \frac{56}{9} , y =-\frac{26}{3}[/tex]

Step-by-step explanation:

Calculator work :)

Answer:

160 cars

Step-by-step explanation:

The computation of the number of more cars he washed this year is given below;

Last year, he washed 20 cars a week so on yearly basis he washed

= 20 cars × 52 weeks

= 1,040 cars

And, this year he washed 1,200 cars

So, the number of more cars he washed this year is

= 1,200 cars - 1,040 cars

= 160 cars

Answer:

6π units

Step-by-step explanation:

Given::

Radius = 4

Angle measure of partial circle (θ) = 360° - right angle = 360° - 90° = 270°

Arc length = θ/360 × 2πr

Plug in the values

= 270/360 × 2 × π × 4

= 0.75 × 8 × π

= 6π units

Answer:

72 mi is the answer.

Step-by-step explanation:

a = 30 mi

b = ?

c = 78 mi

According to the Pythagoras theorem,

a² + b² = c²

30² + b² = 78²

900 + b² = 6084

b² = 6084 - 900

b² = 5184

b = 72 mi

∴ the eastbound airplane has travelled 72 mi.

3*10 = 30 - 48*2 = 96

30 - 90

= -60

Answer:

If you want free brainliest, click on my profile piture, go to my answers, and look for the one that says give my brainly you will get free brainly!!

Step-by-step explanation:

Answer:

11:30am

Step-by-step explanation:

Answer:

Charlie and his friends should leave by 11:30 am at the latest.

Answer:

Input     Output

  0             1

  2              2

 -8            -3

100           51

Step-by-step explanation:

Given

The rule: input ⇒ ÷2+1 ⇒ output

Solve

0 ⇒ 0÷2+1 ⇒ 1

2 ⇒ 2÷2+1 ⇒ 2

-8 ⇒ -8÷2+1 ⇒ -3

100 ⇒ 100÷2+1 ⇒ 51

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(18.1361 ; 19.5639) ;

using a smaller sample will widen the margin

Step-by-step explanation:

Given :

Xbar = 18.85

Standard deviation, s = 1.75

Sample size, n = 40

Confidence interval is obtained using the relation :

Xbar ± Margin of error

Margin of Error = Zcritical * s/ √n

Zcritical at 99% = 2.58

Margin of error = 2.58 * (1.75/√40) = 0.7139

Lower boundary = 18.85 - 0.7139 = 18.1361

Upper boundary = 18.85 + 0.7139 = 19.5639

(18.1361 ; 19.5639)

B.)

The sample size, n being the denominator in the margin error formula increases the error value as it reduces or decreases in value Hence widens the interval. Conversely, increasing the sample size reduces the error margin value and ultimately narrows the interval.

Therefore, using a smaller sample will widen the margin

Answer:

a the graph is correct

Step-by-step explanation:

edg 21 ^u^

The graph x² + ( y²/49 )>1 is correct. The correct option is A.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The given inequality is x² + ( y²/49 )>1;. The graph is plotted on the x-y plane. The curves of the graph cut the y-axis at positive 7 and negative 7 and cut the x-axis at positive 1 and negative 1.

Hence, the correct option is A.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ5

Answer and Explanation:

Please find full question attached

From the bar chart, we can see that the the interval 130-150 has two bars in it:

Interval 130-140 with the highest frequency of 5

Interval 140-150 with frequency of 2

Therefore to find the percentage between 130-150 we add up the frequencies 2+5=7 and divide by the total frequency of 15 people all multiplied by 100

=7/15×100= 46.67%

Percentage of participants with heart rate between 130 and 150 =46.67%

Answer:

aa

Step-by-step explanation:

aaaaaaaaa i need points sorry

Answer:

6 * 16

Step-by-step explanation:

One pound is 16oz.

Multiply the number of pounds by 16.

6 * 16 = 96

6 pounds is 96oz.

Hope this helps.

Answer:6lb x 16oz/1lb

Step-by-step explanation:just took the test

Answer:

26

Step-by-step explanation:

Answer:

The answer is 3/52

Step-by-step explanation:

Answer:

That is a 25% change.

Step-by-step explanation:

this my answer not sure you like it or not

Answer:

8: 0,-2  9: 7,-3  10: 7,1/2

Step-by-step explanation:

Hello, for question 8 (the top equation), you trying to find y and x so lets find y first. You need y to be by itself so you divide all the numbers by -3 like this:

6x/-3-3y/-3=6/-3

The equation simplifies to -2x+y=-2. You need y to be by itself so you move it to the other side and you get -2 for y. Now you need x. Go to the second equation and take the number that is y and plug it into the equation like this:

6x+8(-2)=-16

Multiply 8 with -2 which is -16. Then, you add -16 with -16 which makes 0.

6x=0

You then divide 6 on both sides and x is 0. You basically do the same process for questions 9 and 10 which are 7,-3 and 7,1/2. And your done!

Answer:

Are you giving any exam or what?

Answer:

C. 3x^2-2x=0

Step-by-step explanation:

3x^2+2x=x(3x+2)=0

x=0 or 3x+2=0⇒3x=-2⇒x=-2/3

Answer:

a) Let's define the variables:

t = number of tulips bought

r = number of roses bought

We know that each tulip costs $5, and each rose costs $3.

Then the total cost will be:

$5*t + $3*r

We know that Morty spent a total of $54, then we have the equation:

$5*t + $3*r = $54

We also know that he bought a total of 14 flowers, then:

r + t = 14

Then the system of equations is:

$5*t + $3*r = $54

r + t = 14

b) To solve the system, first, we need to isolate one of the variables in one of the equations. I will isolate r in the second one:

r = 14 - t

Now we can replace this into the other equation:

$5*t + $3*r = $54

$5*t + $3*(14 - t) = $54

Now we can solve this for t.

$5*t + $3*14 - $3*t = $54

$2*t + $42 = $54

$2*t = $54 - $42 = $12

t = $12/$2 = 6

t = 6

He bought 6 tulips.

Now we can use the equation r = 14 - t

r = 14 - 6 = 8

r = 8

He bought 8 roses.

Answer:

The answer is "3.51".

Step-by-step explanation:

[tex]\to t=\frac{\bar{x}-\bar{y}}{\sqrt{\frac{\sigma_x^2}{n_x}+\frac{\sigma_y^2}{n_y}}}\\\\[/tex]

      [tex]=\frac{960-945}{\sqrt{\frac{14^2}{20}+\frac{13^2}{20}}}\\\\=\frac{15}{\sqrt{\frac{196}{20}+\frac{169}{20}}}\\\\=\frac{15}{\sqrt{\frac{196+169}{20}}}\\=\frac{15}{\sqrt{\frac{365}{20}}}\\\\=\frac{15}{\sqrt{18.25}}\\\\=\frac{15}{4.27}\\\\=3.51[/tex]

Answer: angles HIL and MLI are supplementary angles.

Hope this helps! :D