Click on the graph below to create a triangle with vertices at the following points.
(-5,0), (-5,9), (0,9)

Answer:

90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

First group: Sample of 163, 13% has a second episode.

This means that:

[tex]p_1 = 0.13, s_1 = \sqrt{\frac{0.13*0.87}{163}} = 0.026[/tex]

Second group: Sample of 160, 14% has a second episode

This means that:

[tex]p_2 = 0.14, s_2 = \sqrt{\frac{0.14*0.86}{160}} = 0.027[/tex]

Distribution of the difference:

[tex]p = p_1 - p_2 = 0.13 - 0.14 = -0.01[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.026^2+0.027^2} = 0.0375[/tex]

Confidence interval:

The confidence interval is:

[tex]p \pm zs[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Lower bound:

[tex]p - 1.645s = -0.01 - 1.645*0.0375 = -0.0717[/tex]

Upper bound:

[tex]p + 1.645s = -0.01 + 1.645*0.0375 = 0.0517[/tex]

90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).

Answer:

[tex]\displaystyle \sec(\theta)=\frac{9\sqrt{17}}{17}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \sin(\theta)=\frac{8}{9}\text{ and } \tan(\theta)>0[/tex]

And we want to find sec(θ).

First, note that both sine and tangent are positive. The only quadrant in which this can occur is QI. Hence, all trig ratios will be positive.

Also, recall that sine is the ratio of the opposite side to the hypotenuse. Using this information and the Pythagorean Theorem, we can determine the adjacent side:

[tex]a=\sqrt{9^2-8^2}=\sqrt{17}[/tex]

So, with respect to θ, the adjacent side is √(17), the opposite side is 8, and the hypotenuse is 9.

Secant is the ratio of the hypotenuse to the adjacent. Hence:

[tex]\displaystyle \sec(\theta)=\frac{9}{\sqrt{17}}=\frac{9\sqrt{17}}{17}[/tex]

Again, since θ is in QI, all trig ratios are positive.

Answer:

0

Step-by-step explanation:

Anything multiplied by 0 is 0. sorry if i did it wrong

Answer:

the answer is d circumference

Answer:

ur answer is correct only

Step-by-step explanation:

mark me brainlist tq

Answer:

dependent events

Answer:

yes it is good luck with your work

Answer:

I'm guessing you mean -7 < -12 and if it's true and false, if so the answer would be false because -7 is larger than -12.

Step-by-step explanation:

I'm guessing you mean -7 < -12 and if it's true and false, if so the answer would be false because -7 is larger than -12.

(Tell me the question if this is incorrect. Thanks!!!)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

x = -7 or 7

Step-by-step explanation:

x² - 49 = 0

→ Factorise

( x + 7 ) ( x - 7 )

→ Solve

x = -7 or 7

Answer:

(x + 7) (x - 7) = 0

x + 7 = 0 and x - 7 = 0

So, x = +7 and -7

Hope this helps!

An

Step-by-step explanation:

Cx+y s 100

Answer:

All the inequalities that model the constraints for this situation:

(d) x + y < 200 ;

(e) 0.75 x + 0.50 y ≥ 100

Step-by-step explanation:

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

As, x represent the number of candy bars sold & y represent the number of bags of chips sold.

It is given that,

price for one candy bar =  $0.75

also, price for one dag of chips = $0.50

So, price for 'x' candy bar =  $0.75x

also, price for 'y' of chips = $0.50 y

Is is mentioned in question, the sale of candy bar and bag of chips shoud be atleast $100.  

the First ineqaulity be,

0.75 x + 0.50 y ≥100

(which should the sales of candy baar and dag of chips be equal to 100 dollar or greater than 100 dollar)

Now, the second situation

Again, it is mentioned in the question is number of units (candy bar and dag of chips)  should be not more than 200 units.

the second inequality be,

x+ y < 200

(which shows that number of candy bar and dag of chips should be less than 200 units.)

All the inequalities that model the constraints for this situation

(d) x + y < 200

(e) 0.75 x + 0.50 y ≥100

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

Answer:

Step-by-step explanation:

Answer: 9

Step-by-step explanation: h=2(A/a+b)=2(66.66/4.9+9.9)=9.01

Answer:

4

Step-by-step explanation:

You can divide both numbers by four and get an even answer

Answer:

4

Step-by-step explanation:

9514 1404 393

Answer:

  m = 8

  n = 4√3

Step-by-step explanation:

The right triangles in this figure are all similar, so the ratios of hypotenuse to short side are the same.

  (12+4)/m = m/4

  64 = m² . . . . multiply by 4m

  8 = m . . . . . . square root

__

Likewise, the ratio of long side to short side is the same.

  12/n = n/4

  48 = n² . . . . . . multiply by 4n

  4√3 = n . . . . . take the square root

_____

Additional comment

You may have noticed that the ratios of side lengths are ...

  4 : n : m = 4 : 4√3 : 8 = 1 : √3 : 2 . . . . . side lengths of a 30°-60°-90° triangle

This means the unmarked side is 8√3.

__

We supplied all of the missing lengths because we know this problem is likely to be presented in different forms, asking for values other than m.

Answer:

C

Step-by-step explanation:

1. The domain is the x-value of a function.

2. In that image, the x-values are the numbers on the left of each parenthesis.

3. You should put the domains in increasing order, so the final answer is -2, 0, 2, 4.

Answer:

Around 0.40

Step-by-step explanation

If she doubles the gift every year, do 18x2=36, 36 rounds to 40 or 0.40.

The total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is  evaluated as 2621.43 dollars

Lets suppose the geometric sequence has its initial term is [tex]a[/tex], multiplication factor is  r, then, its sum is given as:

[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]

(sum till nth term)

The sequence would look like [tex]a, ar, \cdots, ar^{n-1},\cdots[/tex]

For this case, we are specified that:

That shows that the gift amounts each year will form a geometric sequence where a = 1, and r = 2 (as amounts are doubled).

The gift amounts would look like:

[tex]\\1, 2, 4, \cdots\\or\\1, 2\times 1, 2^2 \times 1, \cdots[/tex]

We have to find these terms' sum till 18th term(18th term is the gift of her 18th birthday).

Thus, we have: n = 18, a = 1, and r = 2.

The sum will be:

[tex]S_n = \dfrac{a(r^n-1)}{r-1} = \dfrac{1(2^{18}-1)}{2-1} = 2^{18} - 1 = 262143 \: \rm cents[/tex]

There are 100 cents in 1 dollars,

Thus, 1 cent = 0.01 dollars,

and thus, 262143 cents form 2621.43 dollars.

Thus, the total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is  evaluated as 2621.43 dollars

Learn more about sum of terms of geometric sequence here:

https://brainly.com/question/1607203

Answer:

Step-by-step explanation:

Answer:

By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm.

This means that [tex]\mu = 187, \sigma = 7.1[/tex]

Suppose that 12 individuals are randomly chosen.

This means that [tex]n = 12, s = \frac{7.1}{\sqrt{12}} = 2.05[/tex]

What is the distribution of ¯ x?

By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.

Answer: 99.06cm

Step-by-step explanation:

Note that 1 inch = 2.54cm

Therefore, we'll convert the sides of the frame in inches to cm. This will be:

8 1/2 inch = 8.5 × 2.54cm = 21.59cm

11inches = 11 × 2.54cm = 27.94cm

Therefore, the perimeter of a rectangle will be:

= 2(length + width)

= 2(27.94 + 21.59)

= 2(49.53)

= 99.06cm

Answer:

11

Step-by-step explanation:

Answer:

C. Reflection over x- axis, down 6 right 3

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

It only has one base and it's a pentagon. Therefore, it's a pentagonal pyramid.

Answer:

240 million

Step-by-step explanation:

I took the application

Answer: no possible triangles

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Let's make a table:

Term 1:     3 toothpicks

Term 2:     4 toothpicks

Term 3:     5 toothpicks

Term 4:     6 toothpicks

Term 5:     7 toothpicks

Term N = N + 2 toothpicks