For any confidence level C, the value of the sample proportion will always be considered a plausible value for p. (a) True (b) False 

Answer:

The error is when 6y = 12 it will be -6y = 12 and the intercept would be -2.

Step-by-step explanation:

Answer:

14

Step By Step

22/4= 5.5 77/5.5= 14

The probability that a student chosen randomly from the class has a sister is 3/5.

The probability of an event is the fraction of the number of favorable occurrences of an event to the total occurrences of the event.

P(a) = n(a)/n(s)

where 'a' is an event.

The given data table shows how many students have a brother or a sister in a class of students.

The number of students who have both a sister and a brother = 6

The number of students who have only a brother and do not have a sister  = 3

The number of students who have only a sister and do not have a brother = 12

The number of students who do not have both a sister and a brother = 9

So, the total number of students in the class = 6 + 3 + 12 + 9 = 30

Then, the probability that a student chosen randomly from te class has a sister is

= (number of students who have a sister)/total number of students

= (6 + 12)/30

= 18/30

= 3/5

Learn more about the probability of an event here:

https://brainly.com/question/25870256

#SPJ1

The area of this rectangle is 0.105C that can be calculated by implementing the dimensions of length and breadth.

The area of rectangle involves the length and breadth.

Suppose length of rectangle be a,

Height of rectangle (1-a)^3

Area, A= a*(1-a)^3

dA/da = -3a(1-a)^2+(1-a)^3 = 0

a = 1, 0.25

Thus, Area (max) = 0.25*0.75^3 = 0.105

In this case

Height of rectangle C(1-a)^3

Area, A= Ca*(1-a)^3

dA/da = C[-3a(1-a)^2+(1-a)^3] = 0

a = 1, 0.25

Thus, Area (max) = 0.25*0.75^3*C = 0.105C

To learn more about rectangle check the link below:

https://brainly.com/question/25292087

#SPJ4

========================================================

Explanation:

Let point C represent the center of the planet.

Segment QC is 2810 miles long as it's one of the radii.

Segment DC is 1970+2810 = 4780 miles long after adding on the height of the mountain.

Triangle DQC is a right triangle. That allows us to use a trig ratio to determine theta. Specifically we'll use cosine.

cos(angle) = adjacent/hypotenuse

cos(theta) =  QC/DC

cos(theta) = 2810/4780

theta = arccos(2810/4780)

theta = 53.9942734 degrees approximately

A full 360 degree rotation takes 24 hours. We take a fraction of that to find how many hours it takes for that planet to rotate so point P ends up where point Q is currently located.

(theta/360)*24 = (53.9942734/360)*24 = 3.599618

That's the number of approximate hours it takes. Multiply that by 60 to determine how many minutes it takes.

3.599618*60 = 215.97708

Then that rounds to the final answer 215.98 minutes.

Answer:

[tex]x = -1[/tex]

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Addition

Subtraction

~

First, subtract 12 from both sides of the equation:

[tex]10x + 12 = 2\\10x + 12 (-12) = 2 (-12)\\10x = 2 - 12\\10x = -10[/tex]

Next, divide 10 from both sides of the equation:

[tex]10x = -10\\\frac{(10x)}{10} = -\frac{(10)}{10}\\ x = -\frac{10}{10} = -1\\ x = -1[/tex]

[tex]\textbf {x = -1}[/tex] is your answer.

~

Learn more about PEMDAS, here:

https://brainly.com/question/26499272

Answer: 304

Step-by-step explanation: Johnny starts with 121 apples. He then buys 3 apples from david 61 times. (3x61) 183+121 =304

The required amount to be paid into the fund each period is $1535.21. which the correct answer would be option (B).

Lee Associates borrowed $60,000 in total. The corporation intends to establish a sinking fund to repay the debt after 12 years.

Assuming a semiannual compounding rate of 8%,

As per the given information, the required solution would be as:

Amount to be paid into the fund each semi-annual period will be

= Loan Amount/((1+r/2)²ⁿ⁻¹)/(r/2))

= 60000/(((1+8%/2)²ˣ¹²⁻¹)/(8%/2))

= $1535.21

Thus, the required amount to be paid into the fund each period is $1535.21.

Hence, the correct answer would be an option (B).

To learn more about Compound interest click here:

brainly.com/question/25857212

#SPJ1

The area of the remaining paperboard is 246.91 in²

A shape can be cut-out of another shape. For example a circle cut off a rectangle. The area of the remaining part of the shape can be calculated as area of original shape - area of cut-out shape

The area of a rectangle = l×w

= 20×21 = 420in²

a semi circle is the shape cut-out, therefore the area of the semi circle= ½πr²

= ½×3.14× 10.5²= 173.09in²

Therefore the area of the remaining part of the paperboard is 420-173.09= 246.91 in²

learn more about area of cut-out shapes from

https://brainly.com/question/27590807

#SPJ1

Answer:

a²/(b²ce^7)

Step-by-step explanation:

a^2b^-2c^-1 / e^7 =

= a²/(b²ce^7)

Answer:

1.85

Step-by-step explanation:

185/100 equals 1.85

if I'm reading the problem correctly this is what we have:

0.54 = 1.85 + 0.54

for the left side to equal the right side you must add 1.85 or 185/100

Step-by-step explanation:

Very simple… first convert everything to the same denominator…

1/8 + 2/8 + 3/8… Add the numerators together, and you get 6/8.

Simplify 6/8 to its lowest form… and your answer is ⅙ !

Step-by-step explanation:

where is graph?....can u upload graph pic too?

Check the picture below.

Answer:

∠ U = 12°

Step-by-step explanation:

the inscribed angle RST is half the measure of its intercepted arc RT , then

arc RT = 2 × ∠ RST = 2 × 30° = 60°

the secant- tangent angle U is equal to half the difference of its intercepted arcs, that is

∠ U = [tex]\frac{1}{2}[/tex] ( RS - RT ) = [tex]\frac{1}{2}[/tex] × (84 - 60)° = [tex]\frac{1}{2}[/tex] × 24° = 12°

The required future value of the annuity is $127,336.80.

Jones Company borrowed money that must be paid back in 12 years. To ensure that the debt is repaid by the end of the 12th year, the corporation invests $8,000 at the end of each year at a rate of 5% compounded yearly.

Compute the future value of the annuity as follows:

Future value = Annuity - FVIFA

FVIFA is taken from the table, and substitutes the value of the annuity in the above formula

Future value = $8,000 × 15.9171

Apply the multiplication operation, and we get

Future value = $127,336.80

Therefore, the required future value of the annuity is $127,336.80.

To learn more about the annuity click here:

brainly.com/question/13247656

#SPJ1

The average price of the stock over the first eight years is 50.69 units / year .

Given :

A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be approximated by the function :

S ( t ) = 37 + 16 e^0.04t.

We find the average value of the stock ,

[tex]f_{ave} =1/b-a \int\limits^8_0 {f(x)} \, dx[/tex]

[tex]f_{ave} =1/8-0 \int\limits^8_0 {S (t)} \, dx[/tex]

[tex]f_{ave} =1/8( \int\limits^8_0 {37} \, dt + \int\limits^8_0 {16e^{(0.04t) \, dt[/tex]

= 37 / 8 ( 8 - 0 ) - 1 / 0.02 ( [tex]e^{-0.04 * 8 }[/tex] - [tex]e^{-0.04 * 0[/tex])

= 50.69 units / year.

Learn more about the average here:

https://brainly.com/question/29306232

#SPJ4

If we assume that σ = 15 then the required sample size is 216 .

In the question ,

it is given that ,

the standard deviation is (σ) = 15

we want to be  95% confident . So , α [tex]=[/tex] 1 - 0.95 = 0.05

So , [tex]Z_{\frac{\alpha }{2} }[/tex] is = [tex]Z_{\frac{0.05 }{2} }[/tex] = Z₀.₀₂₅

from z table ,

Z₀.₀₂₅  = 1.96 .

e is given to be = 2 IQ points

the sample size (n) is calculated using the formula .

n = (σ × [tex]Z_{\frac{\alpha }{2} }[/tex]/e)²

Substituting the values ,

we get ,

n = (15 * 1.96/2)²

n = (29.4/2)²

n = (14.7)²

n = 216.09

n ≈ 216

Therefore , the sample size necessary to estimate the mean IQ score of statistics students is 216 .

The given question is incomplete , the complete question is

The standard IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of all adults. We wish to find the sample size necessary to estimate the mean IQ score of statistics students. Suppose we want to be 90% confident that our sample mean is within 2 IQ points of the true mean. Assume then that σ = 15 and determine the required sample size .

Learn more about Sample Size here

https://brainly.com/question/23210694

#SPJ4

Since the test statistic is not greater than the critical value, the null hypothesis cannot be rejected. Therefore, the claim that the mean score is 71 is not rejected.

1. We are given the population of statistics final exams and asked to test the claim that the mean score is 71 using an alternative hypothesis that the mean score is different from 71. We are also given the sample statistics including the sample size (n = 26), the sample mean (ã = 72), and the sample standard deviation (s = 18). We are asked to use a significance level of α = 0.05.

2. Since we are assuming that the population is normally distributed, we will use a two-tailed z-test to test the claim.

3. The null hypothesis is that the mean score is 71 and the alternative hypothesis is that the mean score is different from 71.

4. The test statistic is calculated as:

Test statistic = (sample mean - population mean) / (standard deviation/√n)

= (72 - 71) / (18/√26)

= 0.283

5. The critical values for a two-tailed z-test with a significance level of α = 0.05 are 1.645 for both the positive and negative critical values.

6. Since the test statistic (0.283) is not greater than the critical value

Learn more about null hypothesis here

https://brainly.com/question/28920252

#SPJ4

Answer:

Step-by-step explanation:

Find the corner points of X (x,y) and Y(x,y)

The option C, “because 0 is in this interval, we cannot conclude that there is a difference in newspaper reading, on average, for females and males” is correct.

In the given question, the UGA Journalism Department is interesting in determining if there is a significant difference in the number of hours, on average per week, that UGA males and UGA female students spend reading any online or printed newspaper.

Randomly selected students at UGA were asked how many hours per week they read any online or printed newspaper, their age, and gender. The 95% confidence interval for reading newspapers on μ(F)-μ(M) is (-1.1, 1.3).

1) We have to interpret this confidence interval. The given options are:

• Because 0 is not in this interval, we cannot conclude that there is a difference in newspaper reading, on average, for females and males.

• Because 0 is not in this interval, we can conclude that there is a difference in newspaper reading, on average, for females and males.

• Because 0 is in this interval, we cannot conclude that there is a difference in newspaper reading, on average, for females and males.

• Because 0 is in this interval, we can conclude that there is a difference in newspaper reading, on average, for females and males.

Since there interval was given.

The given interval for the 95% confidence interval for reading newspapers on μ(F)-μ(M) is (-1.1, 1.3).

Since the value of interval is between -1.1 and 1.3. So 0 is in this interval. So we cannot conclude that there is a difference in newspaper reading, on average, for females and male.

So the option C, “because 0 is in this interval, we cannot conclude that there is a difference in newspaper reading, on average, for females and males” is correct.

To learn more about confidence interval link is here

brainly.com/question/29657446

#SPJ4

Answer:

The function is going up

Step-by-step explanation:

the arrow is going up

Answer: y=2^{x}

Step-by-step explanation:

The magnitude and direction form with the magnitude rounded to the nearest tenth and the direction rounded to the nearest degree 5.4<cos335°<, sin335°

What is direction ?

Direction is characterized as the course that anything follows, the route that must be taken to go to a particular location, the direction in which something is beginning to take shape, or the direction you are facing. When you turn right instead of left, that is an illustration of direction.

The basis of the x, y, and z directions of a line or unit vector is identified by the number triplet known as the direction number. They are easily identified as a percentage of a unit vector.

u = 7cos300°i + 7sin300j

v = 4cos70i + 4sin70 j

u = 7*0.5i + 7*(-√3/2)j

  = 3.5i - 6.062j

v = 1.368i + 3.758j

u + v =(3.5+1.368)i +(-6.062+3.758)j

        = 4.868i +(-2.304)j

Magnitude of (u+v) = √(4.868)² +(2.304)²

                               = 5.385 ≈ 5.4

For direction

tanФ = y/x

        = -2.304/4.868

    Ф = -25.327

∴(u+v) is in 4th Quandrant

∴ Ф = 360 - 25.327

     = 334.672

    ≈ 335°

To learn more about direction from the given link  

https://brainly.com/question/17305372

#SPJ1

A pair of dice is thrown the sum of the 2 scores calculated can be 5,6,7,8

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

The Three Kinds of Probability

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all unique outcomes that might occur).

Subjective Probability. Definition of Relative Frequency.

The value of dice is 1,2,3,4,5,6

Hence the sum of the 2 dice when rolled together can vary from 2 to 12

since 5,6,7,8 lies between 2 and 12

all of them are correct.

To learn more about probability, click the following link:-

https://brainly.com/question/24756209

#SPJ1

After analyzing the given data we will get to know that all the options mentioned above are true.

A = BUC, B is a singleton set, and A = CU2 if A is the set of all prime numbers, B is the set of all even prime numbers, and C is the set of all odd prime numbers. Therefore, option D - All of the specified - is the answer to this question.

We've got

The entire set of prime numbers is A.

A = {2, 3, 5, 7, 11, 13}

B is a collection of even prime numbers.

B = {2}

C is a collection of all odd prime numbers.

C = {3, 5, 7, 11, 13,}

We are aware that the only even prime number is two. As a result, Set B is a singleton set because it only has one element.

Additionally, if we combine sets B and C, we will obtain set A, which contains all prime numbers.

Thus, we obtain A = B U C.

Since B = 2 is a singleton set, if we have A = B U C, we can also say A = C U 2.

Therefore, each of the aforementioned choices is appropriate.

To learn more about the prime numbers

brainly.com/question/25110414

#SPJ4

Answer:

4√3

Step-by-step explanation:

 √48

If we factor it out we will get

√4^2 ⋅ 3

Then we pull terms out from under the radical

4√3

So, the answer is 4√3

If you can please give me 5 stars and Brainliest, thank you, and have a good day!

After reflecting the quadrilateral EFGH across the line y = 2, the x-coordinates of the corresponding points in the image and the preimage will be the same.

Generally,  Reflection is an isometry, which means that it preserves distance and angles. Therefore, the x-coordinates of the points in the image and the preimage will not be changed by the reflection. The y-coordinates will change since the reflection flips the points over the line of reflection.

For example, if quadrilateral EFGH has a vertex at (x, y), then the corresponding vertex in the image will be at (x, 2 - y). The x-coordinate remains the same, but the y-coordinate is reflected across the line y = 2.

Read more about Reflection

https://brainly.com/question/15487308

#SPJ1

Answer:

B. Find the area of the base and multiply it by the height of the cylinder.

Step-by-step explanation:

πr^2h is the formula for finding the volume of a cylinder.

You find the area of the base by squaring the radius, then do pi times base area times height to get the volume.

Answer:

b

Step-by-step explanation:

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

Then the greatest common factor is 8

the population of the country in 2003 is, 368.3 million.

What is exponential?

The exponential is an example of a mathematical function that is useful in determining if something is increasing or decreasing exponentially is the exponential function. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

The population's description is provided by the exponential model a = 368.3e0.002t.

"a" denotes a nation's population in millions,

following 2003 by t years.

We must ascertain the country's population in 2003.

At 2003, t = 0.

In the exponential model above, enter t = 0.

a = 368.3e^0.002(0) (0)

a = 368.3e^0

a = 368.3

Hence, the population of the country in 2003 is, 368.3 million.

Learn more about exponential, by the following link.

https://brainly.com/question/2456547

#SPJ1