In a clinical trial of a certain​ drug, 17 subjects experience headaches among the 221 subjects treated with the drug. Construct a ​95% ​(Wald) confidence interval estimate for the proportion of treated subjects who experience​ headaches.

a. Find the best point estimate of the population proportion.
b. Identify the value of the margin of error E.
c. Construct the confidence interval.
d. write a statement that correctly interprets the confidence interval.

Answer:

x = 15

Step-by-step explanation:

Pytago: a^2 + b^2 = c^2

x = [tex]\sqrt{25^{2} -20^{2} }[/tex] = 15

9514 1404 393

Answer:

  B.  (2, -5)

Step-by-step explanation:

Reflection across the y-axis is the transformation ...

  (x, y) ⇒ (-x, y)

Rotation 180° about the origin is the transformation ...

  (x, y) ⇒ (-x, -y)

Applying the rotation after the reflection, we get ...

  (x, y) ⇒ (x, -y)

  (2, 5) ⇒ (2, -5)

_____

Additional comment

For these transformations, the order of application does not matter. Either way, the net result is a reflection across the x-axis.

Answer:

(2,-5)

Step-by-step explanation:

Megan’s plant grew at a faster rate, Growing at a rate of  3 inches per week.

The y-rate axis of change with respect to the x-axis is known as the slope.

y = mx + b, where slope = m and y-intercept = b, is the slope-intercept form equation of a line.

We are aware that a slope's graph or rate of change will be steeper the higher its absolute value.

Given, Megan and Suzanne each have a plant. They track the growth of their plants for four weeks.

From the given options, Megan's plant which is growing at a rate of 3 inches per week has a faster growth rate.

learn more about slopes here :

https://brainly.com/question/3605446

#SPJ6

9514 1404 393

Answer:

  x^2/1 +y^2/81 = 1

Step-by-step explanation:

We know that the equation of a unit circle is ...

  x^2 +y^2 = 1 . . . . . equation of a unit circle

We also know that replacing x with x/a in a function will expand the graph by a factor of 'a'. Similarly, replacing y with y/b will do the same in the vertical direction.

An ellipse is a circle that has had different expansion factors applied along its different axes. Here, the given points tell us the center of the ellipse is (0, 0), and that it has been expanded by a factor of 9 in the y-direction and a factor of 1 in the x-direction This means the equation for it would be ...

  (x/1)^2 +(y/9)^2 = 1 . . . . . equation for desired ellipse

In the required form, this is ...

  [tex]\dfrac{x^2}{1}+\dfrac{y^2}{81}=1[/tex]

Answer:

Step-by-step explanation:

Tìm cc

Answer:

[tex]P(Z\leq2.89)=0.9981[/tex]

Step-by-step explanation:

Sample size [tex]n=200[/tex]

Rental Rate [tex]R=60\%[/tex]

Probability =(P<140)

Generally the equation for mean of distribution is mathematically given by

[tex]\mu=nR\\\\\mu=200*0.60\\\\\mu=120[/tex]

Generally the equation for Standard deviation of distribution is mathematically given by

[tex]\sigma=\sqrt{npq}[/tex]

[tex]\sigma=\sqrt{200*0.60*0.40}[/tex]

[tex]\sigma=6.9[/tex]

Therefore

Z-score for x=140 is

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

[tex]Z=\frac{140-120}{6.9}[/tex]

[tex]Z=2.89[/tex]

From table

[tex]P(Z\leq2.89)=0.9981[/tex]

Answer:

The right response is Option c ($185,870,742).

Step-by-step explanation:

Given:

n = 30

r = 5.4%

or,

 = 0.054

Periodic payment will be:

[tex]R = \frac{360000000}{30}[/tex]

   [tex]=12000000[/tex] ($)

Now,

The present value will be:

= [tex]R+R(\frac{1-(1+r)^{-n+1}}{r} )[/tex]

By substituting the values, we get

= [tex]12000000+12000000(\frac{1-(1+0.054)^{-30 + 1}}{0.054} )[/tex]

= [tex]12000000+12000000\times 14.4892[/tex]

= [tex]185,870,742[/tex] ($)

Answer:

B

Step-by-step explanation:

z+z=6, z=3. z+y=5, y=2, x+y=10, x=8

Answer:

(-2, 2)

Step-by-step explanation:

If you have a point (x, y) and you do a dilation by a scale factor K centered at the origin, the new point will just be (k*x, k*y)

So, if the original point is (-8, 8)

And we do a dilation by a scale factor k = 1/4

Then the image of the point will be:

(-8*(1/4), 8*(1/4))

(-8/4, 8/4)

(-2, 2)

9514 1404 393

Answer:

  73 ft²

Step-by-step explanation:

The ratio of areas is the square of the ratio of linear dimensions.

  smaller area = larger area × ((10 ft)/(15 ft))² = 165 ft² × (4/9)

  smaller area = 73 1/3 ft² ≈ 73 ft²

Answer:

Area of the smaller triangle = 73 square feet

Step-by-step explanation:

Area of the larger triangle = 165 square feet

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

[tex]\frac{1}{2}(\text{Base})(\text{Height})=165[/tex]

[tex]\frac{1}{2}(15)(\text{Height})=165[/tex]

Height = 22 ft

Since, both the triangles are similar.

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

Let the height of smaller triangle = h ft

Therefore, [tex]\frac{h}{22}=\frac{10}{15}[/tex]

h = [tex]\frac{22\times 10}{15}[/tex]

h = 14.67 ft

Area of the smaller triangle = [tex]\frac{1}{2}(10)(14.67)[/tex]

                                              = 73.33

                                              ≈ 73 square feet

Answer:

0

Step-by-step explanation:

0co

Observe that the x coords of the roots of a polynomial are,

[tex]x_{1,2,3,4}=\{-3,0,1,4\}[/tex]

Which can be put into form,

[tex]y=a(x-x_1)(x-x_2)(x-x_3)(x-x_4)[/tex]

with data

[tex]y=a(x-(-3))(x-0)(x-1)(x-4)=ax(x+3)(x-1)(x-4)[/tex]

Now if I take any root point and insert it into the equation I won't be able to solve for y because they will always multiply to zero (ie. when I pick [tex]x=-3[/tex] the right hand side will multiply to zero,

[tex]y=-3a(-3+3)(-3-1)(-3-4)=0[/tex]

and a will be "lost" in the process.

If we observed a non-root point that we could substitute with x and y and result in a non-loss process then you could find a. But since there is no such point (I don't think you can read it of the graph) there is no other viable way to find a.

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

0.7392 = 73.92% probability of obtaining a value less than 45 or greater than 49.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 47 and standard deviation 6

This means that [tex]\mu = 47, \sigma = 6[/tex]

Less than 45:

p-value of Z when X = 45, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 47}{6}[/tex]

[tex]Z = -0.3333[/tex]

[tex]Z = -0.3333[/tex] has a p-value of 0.3696.

More than 49:

1 subtracted by the p-value of Z when X = 49. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{49 - 47}{6}[/tex]

[tex]Z = 0.3333[/tex]

[tex]Z = 0.3333[/tex] has a p-value of 0.6304.

1 - 0.6304 = 0.3996

Less than 45 or greater than 49:

2*0.3696 = 0.7392

0.7392 = 73.92% probability of obtaining a value less than 45 or greater than 49.

The solutions are where the two lines cross over each other.

(0,3) and (4,-5)

Answer:

123123 3213123 12312 dasdsd aw dasd sda asdasd

Step-by-step explanation:

Answer:

Break even sales = $17,500 (Approx.)

Step-by-step explanation:

Given:

Fixed expenses = $7,000

Contribution ratio = 40%

Find:

Break even sales dollars

Computation:

Break even sales = Fixed expenses / Contribution ratio

Break even sales = 7,000 / 40%

Break even sales = 7,000 / 0.40

Break even sales = 17,500

Break even sales = $17,500 (Approx.)

Answer:

[tex]580\text{ miles per hour}[/tex]

Step-by-step explanation:

To solve this problem, we can use the formula [tex]d=rt[/tex], where [tex]d[/tex] is distance, [tex]r[/tex] is rate, and [tex]t[/tex] is time.

Let's start by calculating how long the small airplane takes to complete the journey. The distance is 1160 miles and the rate is 290 miles per hour. Therefore, we have:

[tex]1160=290t,\\t=\frac{1160}{290}=4\text{ hours}[/tex]

Since the Boeing 747 left 2 hours after the small airplane left, the small airplane has just [tex]4-2=2[/tex] hours left of travelling time.

Therefore, to arrive at the same time as the small airplane, the Boeing 747 must cover the same distance of 1160 miles in only 2 hours. Hence, the Boeing 747's speed must have been:

[tex]1160=2r,\\r=\frac{1160}{2}=\boxed{580\text{ miles per hour}}[/tex]

Answer:

Two planes that do not intersect are said to be parallel. Parallel planes are found in shapes like cubes, which actually has three sets of parallel planes. The two planes on opposite sides of a cube are parallel to one another. ... So those will be 2 that are in the same plane that will never intersect.

Answer:

Step-by-step explanation:

a). Given expression in the question is,

   [tex]\frac{13822\times 623}{14}[/tex]

   Exact value of the expression will be,

   [tex]\frac{13822\times 623}{14}=615079[/tex]

b). By using approximations to 1 significant figure,

   13822 ≈ 10000

   623 ≈ 600

   14 ≈ 10

   615079 ≈ 60000

   Now use the expression,

   [tex]\frac{13822\times 623}{14}=\frac{10000\times 600}{10}[/tex]

                  = 60000

Answer: Hello the options related to your question is missing attached below are the missing options.

A.) The probabilities of the RVs may be equal

B.) The sum of the probabilities of the RVs exceed 1

C.) This is an impossible occurrence

D.) The probabilities of the RVs must be equal

E.) None of the above

answer:

The probabilities of the RVs may be equal ( A )

Step-by-step explanation:

Given that the value of the  population mean and the value of probability mass function of a set of random variables are similar

For the Random Variables : 100,200,300,400

The Probability mass function of RV = ( 100 + 200 + 300 + 400 ) / 4

Hence  The probabilities of the RVs may be equal

Answer:

The interval containing the middle-most 76% of sample means is between 56.24 and 63.76.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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.

A distribution of values is normal with a mean of 60 and a standard deviation of 16.

This means that [tex]\mu = 60, \sigma = 16[/tex]

Samples of size 25:

This means that [tex]n = 25, s = \frac{16}{\sqrt{25}} = 3.2[/tex]

Find the interval containing the middle-most 76% of sample means.

Between the 50 - (76/2) = 12th percentile and the 50 + (76/2) = 88th percentile.

12th percentile:

X when Z has a p-value of 0.12, so X when Z = -1.175.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-1.175 = \frac{X - 60}{3.2}[/tex]

[tex]X - 60 = -1.175*3.2[/tex]

[tex]X = 56.24[/tex]

88th percentile:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]1.175 = \frac{X - 60}{3.2}[/tex]

[tex]X - 60 = 1.175*3.2[/tex]

[tex]X = 63.76[/tex]

The interval containing the middle-most 76% of sample means is between 56.24 and 63.76.

Step-by-step explanation:

The photo above is the Venn diagram

Now, the number of persons that are both managers and engineers= n

Since, Total number of persons is 50

Therefore, 50= M+n+E

M only = 36-n

E only = 24-n

Therefore, 50= 36 - n + n + 24 - n

50 = 36+24-n

50 = 60 - n

60 - n = 50

-n = 50 - 60

-n = - 10

Therefore, n = 10

Therefore, the number of persons that are both Managers and Engineers is 10persons.

Answer:

Sharjah Call Girls +971529238486 | Call Girls In Sharjah

Step-by-step explanation:

Sharjah Call Girls and our group are very a good deal satisfied to participate withinside the boom of the leisure field. Lots of customers are touring Sharjah now no longer handiest for playing the splendor of the town however additionally to the sensual entertainments our profiles.

Answer:

[tex]A(x) = 12500(1.054)^x[/tex]

Step-by-step explanation:

Exponential equation for population growth:

Considering a constant growth rate, the population, in x years after 2005, is given by:

[tex]A(x) = A(0)(1 + r)^x[/tex]

In which A(0) is the population in 2005 and r is the growth rate, as a decimal.

The initial population of the town was estimated to be 12,500 in 2005.

This means that [tex]A(0) = 12500[/tex]

The population has increased by about 5.4% per year since 2005.

This means that [tex]r = 0.054[/tex]

So

[tex]A(x) = A(0)(1 + r)^x[/tex]

[tex]A(x) = 12500(1 + 0.054)^x[/tex]

[tex]A(x) = 12500(1.054)^x[/tex]

Answer:

13.73 in^2 because the circle's area is 50.27 in^2

Answer:

11 red + 24 blue = 35 marbles

If 1 blue is withdrawn

11 red + 23 blue = 34 marbles

P = 23 / 34 = .38   probability of drawing blue marble

Answer: y = 0 and x = -1