One half of a number less than six is greater than or equal to ten

We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.

In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.

Thus, we need to use the t-distribution to construct the confidence interval.

The formula for the confidence interval is as follows:

Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368

Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).

This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

To learn more about true population visit:

https://brainly.com/question/32979836

#SPJ11

The rate at which the wage earners and rural households should save is 21%.

Given that:

Depreciation (δ) = 0.03

Capital output ratio (c) = 3

Profit share of income (π/Y) = 0.5

Savings out of capital income (sπ) = 25% = 0.25

We know that the modified Harrod-Domar growth model is given as:

c(g+δ) = (sπ - sW)(Yπ) + sW

We can rearrange the above equation to find the value of savings out of wage income as follows:

sW = c(g+δ - sπ(Yπ))/ (sπ - π/Y)

Plugging in the given values:

sW = 3(0.04 + 0.03 - 0.25(0.5))/ (0.25 - 0.5)

On solving the above equation, we get:

sW = 0.21 or 21%

Hence, the rate at which the wage earners and rural households should save is 21%. Therefore, the required answer is 21%.

To learn more about Harrod-Domar model

https://brainly.com/question/4555076

#SPJ11

If the perimeter is 30 all around, you need to find the to answers to each equation, then take the answers and add them together and minus the answer from 30 you should get the amount that equals x.

I hope it helps :)

Answer:

\(9x^2-5x-7\)

Step-by-step explanation:

\(d(x)=9x^2\\g(x)=5x+7\\d(x)-g(x)=\\(9x^2)-(5x+7)=\\9x^2-5x-7\)

Hope this helps!

Answer:

\(9x^{2} -5x-7\)

Step-by-step explanation:

The table shows a linear function :)

The value of the legs of the triangle would be hypotenuse/√2.

You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).

That is perpendicular=hypotenuse/√2

Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)

That is base=hypotenuse/√2

Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.

Learn more about Trigonometry on

https://brainly.com/question/29002217?referrer=searchResults

#SPJ4

Answer:

Step-by-step explanation:

(2x + 1/3x)³

= (7/3x)³

= 343/27 x³

Answer:

6188

Step-by-step explanation:

Answer: 6188

Step-by-step explanation:

Answer:

2 7/24

Step-by-step explanation:

2 2/5=12/5

Then multiply by the inverse: 11/2 times 5/12 which is 55/24

Then make 55/24 a mixed number 2 7/24

If it is 1 1/2 and not 11/2 then the answer is 3 3/5

Answer:

5/8

Step-by-step explanation:

Ii would convert them into 3/2 and 12/5

3/2 decided by 12/5 would how you would set up the equation, then you keep the 3/2 change the decision to multiplication, then flip 12/5 to 5/12 then you would do 3/2*5/12=15/24 which when you simplify you would get 5/8

Step-by-step explanation:

the answer is the third one

hope it helps and if u need a explanaton I can help

To find the present value that will grow to $1000 in 6 years at an annual interest rate of 8.5% compounded quarterly, we can use the formula: PV = FV / (1 + r/n)^(n*t)

where PV is the present value, FV is the future value ($1000 in this case), r is the annual interest rate (8.5%), n is the number of compounding periods per year (4 for quarterly), and t is the time period in years (6).
Plugging in the values, we get:
PV = $1000 / (1 + 0.085/4)^(4*6)
PV = $1000 / (1.02125)^24
PV = $527.22
Therefore, the present value that will grow to $1000 in 6 years at an annual interest rate of 8.5% compounded quarterly is $527.22.

To find the present value that will grow to $1000 with an 8.5% annual interest rate compounded quarterly for 6 years, you can use the formula:
PV = FV / (1 + r/n)^(nt)
where:
PV = present value
FV = future value ($1000)
r = annual interest rate (0.085)
n = number of times interest is compounded per year (4 for quarterly)
t = number of years (6)
Plugging in the values:
PV = 1000 / (1 + 0.085/4)^(4*6)
PV = 1000 / (1.02125)^24
PV ≈ 630.16
So, the present value needed to grow to $1000 is approximately $630.16.

To know more about present  visit:-

https://brainly.com/question/432398

#SPJ11

The equation of the function is f(x) = -5x + 10

The points are given as:

x-intercept at (2,0) and a y-intercept at (0,10)

A linear function is represented as:

y = mx + b

Where b is the y-intercept.

The y-intercept at (0,10) means that:

b = 10

So, we have:

y = mx + 10

The x-intercept at (2,0) means that:

x = 2, when y = 0

Substitute these values in y = mx + 10

0 = 2m + 10

Subtract 10 from both sides

2m = -10

Divide both sides by 2

m = -5

Substitute m = -5 in y = mx + 10

y = -5x + 10

Hence, the equation of the function is y = -5x + 10

Read more about linear functions at:

https://brainly.com/question/4025726

#SPJ1

A function, f, with an x-intercept at (2,0) and a y-intercept at (0, 10) has an equation y = -5x + 10

The equation of a line in slope intercept form is expressed as y =x +b

where

Given a function, f, has an x-intercept at (2,0) and a y-intercept at (0, 10), the slope is expressed as:

Slope = 10/-2
Slope = -5

Substitute m = -5 and b = 10 into the formula to have y = -5x + 10

Learn more on equation of a line here: https://brainly.com/question/27680685

#SPJ1

Answer:

0.64 feet

Step-by-step explanation:

make h the subject of this expression

\(t = \sqrt{ \frac{h}{16} } \)

\( {t}^{2} = \frac{h}{16} \)

\(h = 16 {t}^{2} \)

then substitute in the value of t=0.2 into the equation of h:

h = 16 × (0.2)² = 0.64 feet(answer)

Answer:

2.088 x 10^5

Step-by-step explanation:

7.2 x 10 x 2.9 x 10^3 = 20.88 x 10^4

= 2.088 x 10^5

Answer:

∞

Step-by-step explanation:

=> [(-3)-1]/ [(52)3x(0)]

=> (-3-1) ÷ (0)

=> -4 ÷ 0

=> ∞

Answer:

b.y=-2x-3

Step-by-step explanation:

the -3 in the point it goes through becomes the y-intercept

Answer:

h = 20 cm

Step-by-step explanation:

π4²h = 320π

h = 20 cm

Answer:

54

Step-by-step explanation:

Mon - 2 pages read

Tues - 2x3 = 6 pages

Wed - 6x3 = 18 pages

Thurs - 18x3 = 54 pages read

The rabbit accelerated 5.0m/s2 up to its maximum speed. It then ran at this speed for 4.0s.The fox accelerated at 2.0m/s2 for 8.0s.To find who was ahead at the end of the 8.0s and by how much, we need to calculate the direction covered by both rabbit and fox.

The formulas used here are: v = u + at and,

s = ut + 1/2at2 Where, v is final velocity u is initial velocity a is acceleration t is times s is distance covered Let's find the distance covered by the rabbit in 4.0 s. Its acceleration is

5.0 m/s².u = 0v

= u + at

⇒ v = 0 + 5.0 × 4.0

⇒ v = 20 m/s Now,

s = ut + 1/2at²

⇒ s = 0 × 4.0 + 1/2 × 5.0 × 4.0²

⇒ s = 0 + 1/2 × 5.0 × 16.0

⇒ s = 40 m Thus, the distance covered by the rabbit in 4.0 s is 40 m.

Now, let's find the distance covered by the fox in 8.0 s. Its acceleration is 2.0 m/s².u =

0v = u + at

⇒ v = 0 + 2.0 × 8.0

⇒ v = 16 m/s Now,

s = ut + 1/2at²

⇒ s = 0 × 8.0 + 1/2 × 2.0 × 8.0²

⇒ s = 0 + 1/2 × 2.0 × 64.0

⇒ s = 64 m Thus, the distance covered by the fox in 8.0 s is 64 m. So, we conclude that the fox was ahead at the end of 8.0 s by: Distance covered by fox - Distance covered by rabbit= 64 - 40= 24 m.

To know more about direction visit :

https://brainly.com/question/32262214

#SPJ11

Multiples of 4 up to 100: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100.

The multiples of 4 up to 100 are the numbers that can be divided evenly by 4 without having a remainder. To find the multiples, we start with 4 and keep adding 4 until we reach 100. Some of the multiples of 4 include 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100. These numbers can be used in a variety of mathematical applications, such as determining divisibility, solving problems involving multiples, or finding common factors between numbers.

To know more remainder on the link below:

https://brainly.com/question/29019179#

#SPJ11

Answer:

25%

Step-by-step explanation:

200-150=50

50/200=0.25

have a nice day!

For a two-tailed hypothesis test about μ, we can use any of the following approaches except comparing the level of significance; to the confidence coefficient

To determine if the sample mean is substantially more than or significantly less than the population mean, a two-tailed hypothesis test is used. The area under both tails or sides of a normal distribution is what gives the two-tailed test its name.

Any of the following methods, with the exception of comparing the level of significance to the confidence coefficient, can be used for a two-tailed hypothesis test regarding. To create a confidence interval estimate for the population mean, approach (d) compares the level of significance which is a to the confidence coefficient which is 1- a. This method is employed to estimate the population parameter rather than test a hypothesis.

Complete Question:

For a two-tailed hypothesis test about μ, we can use any of the following approaches EXCEPT compare the _____ to the _____.

a.confidence interval estimate of μ; hypothesized value of μ

b.p-value; value of α

c.value of the test statistic; critical value

d.level of significance; confidence coefficient

Read more about two-tailed hypothesis on:

https://brainly.com/question/29641971

#SPJ4

Answer:

Amount of the Discount: $23.98

Sale Price: $35.97

Step-by-step explanation:

In order to calculate the discount we first need to turn this percentage into a decimal by dividing it by 100. Once we have it in decimal form we subtract that value from 1. Finally, we multiply this new decimal by the original price in order to obtain the sale price like so...

40 / 100 = 0.40

1 - 0.40 = 0.60

0.60 * 59.95 = 35.97

Now we have the sale price which is $35.97 now we can subtract this value from the original price to calculate the amount of the discount.

59.95 - 35.97 = 23.98

Answer:

384 cm^2

Step-by-step explanation:

Let the lengths of the sides of the right-angled triangle be 6x, 8x, and 10x, where x is a constant.

Since the perimeter of the triangle is 96 cm, we have:

6x + 8x + 10x = 96

24x = 96

x = 4

Therefore, the lengths of the sides of the triangle are 24 cm, 32 cm, and 40 cm.

The area of a right-angled triangle is given by the formula:

Area = (1/2) * base * height

where the base and height are the two shorter sides of the triangle.

Using the Pythagorean theorem, we can determine that the base and height of the triangle are 24 cm and 32 cm, respectively.

Therefore, the area of the triangle is:

Area = (1/2) * base * height

Area = (1/2) * 24 cm * 32 cm

Area = 384 cm^2

Therefore, the area of the right-angled triangle is 384 cm^2.

Answer:   First find the GCF ( greatest Common Factor):-

GCF of  16, 24 and 48 is 8

GCF of  the x terms  is x^3

GCF of the y terms  is y^4

So GCF is 8x^3y^4

Factoring:-

= 8x^3y^4 ( 2x^6y^4  - 16x^2y^2 + 3)  answer

Step-by-step explanation:

Al-Fatihah is an Islamic prayer recited during the five daily prayers. Comparing radio and television in reading Al-Fatihah from its beginning requires an analysis of how each medium conveys the prayer to its audience. Radio precedes television in reading Al-Fatihah from its beginning.

This is because radio broadcasting began in the early 1900s while television broadcasting began in the late 1940s.

This delay can range from a few seconds to a few minutes depending on several factors such as the geographical location of the audience, the strength of the signal, and the quality of the receiver. Therefore, the time difference between radio and television in reading Al-Fatihah can vary depending on the factors mentioned above.

Mathematically, the time difference between radio and television can be calculated using the formula: d = s / tWhere d is the distance between the transmitter and the receiver, s is the speed of the signal, and t is the time it takes for the signal to reach the receiver.

In this case, d is the distance between the broadcasting station and the audience, s is the speed of the signal which is constant (i.e., the speed of light), and t is the time it takes for the signal to reach the audience. Since the speed of light is approximately 299,792,458 m/s, the time it takes for the signal to reach the audience can be calculated using the following formula:t = d / s

Therefore, the time difference between radio and television in reading Al-Fatihah can be calculated by subtracting the time it takes for the radio signal to reach its audience from the time it takes for the television signal to reach its audience. This difference can range from a few milliseconds to a few minutes depending on the factors mentioned above.

In network concepts, the time difference between radio and television in reading Al-Fatihah can be affected by the bandwidth of the network. The bandwidth is the amount of data that can be transmitted over a network in a given time. If the bandwidth is low, it can cause a delay in the transmission of the signal which can affect the time difference between radio and television.

To know more about bandwidth visit :

https://brainly.com/question/31318027

#SPJ11

"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.

This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.

Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.

When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.

In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

Know more about Statistics here,

https://brainly.com/question/31538429

#SPJ11

It is given that the longer leg is 4 cm longer than the shorter leg.

It is also given that the hypotenuse is 8 cm longer than the shorter leg.

Let the shorter leg be x.

The longer leg be y.

Then the relation formed is

It is also given that the hypotenuse is 8 cm longer than the shorter leg.

Let the hypotenuse is z.

Then the perimeter of the right triangle is the sum of all the sides.

But to find the value of x , use the Pythagoras theorem.

Substitute the values.

Solve the quadratic equation to find the value of x.

As x cannot be negative , then the value of x is 12.

The length of shorter leg is 12.

The length of longer leg is 12+4=16.

The hypotenuse is 12+8=20.

Now , the perimeter of right triangle is

The perimeter of the triangle is 48 cm.

Answer:

3.5325

Step-by-step explanation:

V = 3.14*(.75^2)(2)

You divide the diameter by 2 to get the radius which is 1.5/2 =.75

r=.75

h=2

and you use the equation for volume of cylinder which is V = pi x radius squared x height