how do you find 18.84 20.91 19.5 on a number line 14-22

a. The 90% confidence interval for the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between 0.053 and 0.085.

b. About 90% of the intervals will contain and about 10% of the intervals will not contain.

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The meaning of the 90% confidence level is given as follows:

The sample size and the estimate are given as follows:

[tex]n = 722, \pi = \frac{50}{722} = 0.069[/tex]

Hence the lower bound of the interval is given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 - 1.645\sqrt{\frac{0.069(0.931)}{722}} = 0.053[/tex]

The upper bound of the interval is given by:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 + 1.645\sqrt{\frac{0.069(0.931)}{722}} = 0.085[/tex]

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A rigid transformation does not change the shape of the original object. Translation is a type of rigid transformation. From the information given,

The line segment undergoes a translation up 5 units and left 5units from its original position. Thus,

The length of the resulting line segment would be the same as the length of the original line segment since translations preserve the lengths of line segments

Polar equations of rose curves follow the pattern:

where:

a = represents the length of the petals

n = represents the number of petals.

Based on the given polar equation, the value of "a" is 8. Since "a" represents the length of the petals, then the length of the petals of this rose is 8 units.

From the information given,

The equation representing the relationship between the size of the blade (b) in inches and speed (miles/hour) is given as

Speed = 50-2b

Also, the required drone must travel faster than 37 miles/hour.

For the small blade, b = 4 inches

speed = 50 - 2 * 4 = 50 - 8

speed = 42 miles/hour

For the medium blade, b = 6 inches

speed = 50 - 2 * 6 = 50 - 12

speed = 38 miles per hour

For the large blade, b = 8

speed = 50 - 2 * 8 = 50 - 16

speed = 34 miles per hour

Since the speed of the drone with small blade is greater than 37 miles per hour and it is the greatest among the three drones,

The speed of the drone will be 42 miles per hour

Given two parallel lines and a transversal

The given angles: (2x-8) and (9x-10) are supplementary angles

So, the sum of the angles = 180

So,

Solve the equation to find x :

So, the answer will be x = 18

The converse of the solution:

when x = 18

So, the measure of the angles will be:

2x - 8 = 2 * 18 - 8 = 36 - 8 = 28

9x - 10 = 9 * 18 - 10 = 162 - 10 = 152

The sum of the angles are = 28 + 152 = 180

So, the sum of the angles = 180

So, the angles are supplementary angles

So, the lines J and K are parallel lines

so, J || K

A characteristic of parallel lines is that they have the same slope.

So for the line

The slope is

Any line parallel to this one will have the same slope:

Foe example, let's say that the parallel line has to pass through the point (2,3)

Using the point slope form you can determine the equation as:

The line

is parallel to

The value of f(x) is reflected over the y-axis.

Obtain f(1) as follows,

Draw a vertical line at x=1 to intersect the curve.

From this point of intersection, draw a horizontal line to intersect the y-axis at y=3.

Therefore, the value of f(1) is 3.

Obtain f(2) as follows,

Draw a vertical line at x=2 to intersect the curve.

From this point of intersection, draw a horizontal line to intersect the y-axis at y=8.

Therefore, the value of f(2) is 8.

Obtain f(3) as follows,

Draw a vertical line at x=3 to intersect the curve.

From this point of intersection, draw a horizontal line to intersect the y-axis at y=7.

Therefore, the value of f(3) is 7.

The number of babies that weighed more than 10 pounds is 43 using Z-

Score Table.

What is normal distribution?

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution is depicted graphically as a "bell curve."

Given that total number of babies is 908.

The mean of the normal distribution is 7.2 pound.

The standard deviation of the normal distribution is 1.5 pound.

The formula of z score is z = (x - μ)/σ

In the given question x = 10, μ = 1.5, σ = 7.2

z score = (10 - 7.2)/1.5 = 1.86667

P-value from Z-Table:

P(x<10) = 0.96903

P(x>10) = 1 - P(x<10) = 0.030974

The number of babies that weighed more than 10 pounds is ( 0.030974 × 908) = 43.39 = 43 (approx.)

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The given functions are

f(x) = x^2 - 5

g(x) = 3x - 1

To find 2g(f(- 5)), we would first find f(- 5)

To find f(- 5), we would substitute x = - 5 into f(x) = x2 - 5. It becomes

f(- 5) = (- 5)^2 - 5

f(- 5) = 25 - 5

f(- 5) = 20

Then, we would substitute f(- 5) = 20 into g(x) = 3x - 1

Thus,

g(f(- 5) = 3*20 - 1

g(f(- 5) = 60 - 1

g(f(- 5) = 59

Therefore,

2g(f(- 5)) = 2 * 59 = 118

Since L represents the length and the width is 6 less the length, if w denotes the width, we have

that is, the width measures L-6

Answer:

ANSWER

16

EXPLANATION

The absolute value bars indicate that we have to consider the number inside as positive, whether it's negative or positive. Therefore:

And in the expression we have:

Answer:

Explanation:

Given the equation:

To solve for y, we follow the steps below:

Step 1: Rearrange to Isolate the term containing y.

Step 2: Divide both sides by 8.

Step 3: Simplify

Solution

we have the following set of data from the table given

21,24,25,25,25,26,26,26,26,27,29

The typical age = (21+24+25+25+25+26+26+26+26+27+29)/10

= 255/10

= 25.5 approximately = 26

Final Answer = 26

SU and RT are the diagonals of the rectangle and are thus equal.

We the equate them to find x

SU = RT = 4x - 2 = 5x - 10

subtracting 4x from both sides gives:

4x - 2 - 4x = 5x - 10 - 4x

-2 = x - 10

Adding 10 to both sides give:

10 - 2 = x - 10 + 10

x = 8

RV is half of RT

where = RT = 4(8) - 2 = 32 - 2 = 40

Therefore, RV = 40/2 = 20

To calculate angle VTS, we consider that it is in an isosceles triangle with its angle equal to angle VST. Same angle VST is complementary with angle VSR

Therefore, angle VTS = VST = 90 - 26 = 64 degrees (sum of angles in a right angle)

VTS = 64 degrees

Answer: 3/16

Step-by-step explanation:

You need a common denominator to add those three. It’s easiest to multiply rather than divide so multiply 1/4 times 4 to get 4/16 and then multiply 3/8 times 2 to get 6/16. 6+4+3=13. 16/13=3, add the denominator and you get 3/16 as the remaining amount.

The two angles are alternate external, because they are on the external side of the parallel lines and on alternate sides of the transversal one. This means that they are congruent. So we can find the value of x by making their expressions equal and solving for x.

The value of x is 30°

Spinning a three:

experimental = 11/50

theoretical = 1/5

Spinning an even number:

experimental = 21/50

theoretical = 2/5

Spinning an odd number:

experimental: 29/50

theoretical: 3/5

Spinning a number less than 5:

experimental: 21/25

theoretical: 4/5

In order to calculate the percent increase in the number of games that the Lakers won from the 2016-2017 season with the 2017-2018 season we would have to make the following calculation:

percentage of increase=100* (games won 2017-2018-games won 2016-2017)/ (games won 2016-2017)

percentage of increase=100*(35-26)/(26)

percentage of increase=100*0.34615

percentage of increase=34.615%

The percent increase in the number of games that the Lakers won from the 2016-2017 season with the 2017-2018 was 34.615%

We have to find (f-g)(x) given that f(x) = log x + 2 and g(x) = log(1/x).

We can find it as:

Answer: 2log(x) + 2

The given equation is,

Fundamental Theorem of Algebra says that a polynomial will have exactly as many roots as its degree (the degree is the highest exponent of the polynomial). A straightforward corollary of this (often stated as part of the FTOA) is that a polynomial of degree n with Complex (possibly Real) coefficients has exactly n Complex (possibly Real) zeros counting multiplicity.

Therefore, the equation will have 4 roots.

Descartes’s rule of signs says the number of positive roots is equal to changes in sign of f(x), therefore, the given equation does not have positive real roots.

Therefore, the equation will have 4 complex rooots.

Given:

circumference of 62.8

Required:

circumference of 62.8

Explanation:

Let r be the radius of the circle

Since the circumference of the circle is 62.8

area of circle is

Required answer:

10, 314

To solve the equation, we should isolate x on one side and the numerical term on the other side

So we have to multiply both sides by 2 to cancel the denominator 2 from the right side

Now want to move 3 from the right side to the left side

Subtract 3 from both sides

The solution is x = 9

Solution;

Given the system of equations below

To find out if (2, -2) is the solution to the given system of equations, we solve for x and y

Applying the substitution method to solve the system of equations

Substitute for y in equation (1)

Explanation

We are given the following:

We are required to determine P(J).

We know that since j and K are independent events, then:

Hence, the answer is:

From the question given;

5 = 2/5 m

25 = 2m

Divide both-side by 2

25 /2 = m

m = 25/2

Now to solve for H

( H + [ 1 4 -2 ] ) + [ 3 2 -6 ] = [-2 3 -1] + ( [1 4 -2] + [ 3 2 -6] )

( H + [ 4 6 - 8 ] )= [ -2 3 - 1] + [ 4 6 - 8 ]

( H + [ 4 6 - 8 ] = [ 2 9 -9 ]

Subtract [4 6 -8] from both-side

H = [ 2 9 -9 ] - [ 4 6 -8 ]

= [-2 3 - 1]

m x H = [ 25/2 * -2 25/2 * 3 25/2 * -1 ]

m x H = [ -25 75/2 -25/2 ]

To write the word name of a number, we start from left to right. in the thousands place, we have 51, so this is "fifty-one thousand". The rest is 104, we is "one hundred four". All together, we have:

"Fifty-one thousand one hundred four"

This problem is about linear equations.

To solve it, we need to find the value of x.

First, we need to organize the equation, all terms without variables at the right side, and all terms with variables at the left side

Finally, we multiply the equation by -1 to get the proper answer

Answer:

D. exponential function

As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.

Explanation:

From the table of values:

x-values

The x-values increase by a constant amount, 2.

y-values

The y-values are multiplied by a constant amount, 3.

As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.

The correct option is D.