A population has parameters μ=164.8 and σ=72.8. You intend to draw a random sample of size n=160.

Answer:

20 + 2.5v ≥ 40

v ≥ 8

Step-by-step explanation:

Nolan receives:

- fixed value: 20

- vari

Answer:

If the complement of an angle is 62°, then its supplement is 152°.

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1) Let's sketch this out to better grasp it:

2) Since the sum of the interior angles is 180º, we can write out the following to find the missing angle:

3) We can find the lengths by using trigonometric ratios (sine, cosine, tangent).

To find the y-intercept, replace x=0:

Therefore, the y-intercept of the given equation is 1.

The length of the rectangle based on the information is 6/25 meters.

The length is 3/5 times more than the width.

From the information, the area of a rectangle is 3/5 square m² and the width is 2/5m. It should be noted that the length will be:

Length = Area / Width

Length = 3/5 ÷ 2/5

Length = 3/5 × 2/5

Length = 6/25

The length will s 6/25 meters.

The number of times that the length is more than the width will be:

= 6/25 ÷ 2/5

= 6/25 × 5/2

= 3/5 time.

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The correct answer is option C.

With this, we can already rule out option A.

Next, we can see a slanted dashed line, that when x = 0, y = 2. The solution set is below this line. The inequality that represnts this is:

Thus, option C is the correct one.

Answer:

105 degrees

Elias' mistake was that he added m

Explanation:

To be able to determine the measure of AFB, we have to 1st of all find the value of x.

Let's go ahead and solve for x as shown below;

Since we know the value of x, let's go ahead and solve for [tex]\begin{gathered} (3x+3)+m\angle\text{AFB}=180\text{ (sum of angles on a straight line)} \\ 3(24)+3+m\angle AFB=180 \\ 75+m\angle AFB=180 \\ m\angle AFB=180-75 \\ m\angle AFB=105^{\circ} \end{gathered}[/tex]

Answer:

The amount of time it would take 160 workers to build 16 miles of Highway is;

Explanation:

Given that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers.

Let t represent the time in weeks, l represents the length of the highway in miles, and n represent the number of workers;

So, we have;

Given;

it takes 100 workers 6 weeks to build 4 miles of Highway

so, for 160 workers to build 16 miles of Highway the time it will take is;

Therefore, the amount of time it would take 160 workers to build 16 miles of Highway is;

The inverse of the function is 1/64x², for x≥0

What is a function?

Al-Biruni and Sharaf al-Din al-Tusi, two Persian mathematicians, are responsible for the first documented treatment of the concept of function. Initially, functions expressed the idealized interaction of two changing quantities. A planet's location, for instance, depends on time. In the past, the idea was developed with the infinitesimal calculus at the end of the 17th century, and the functions that were taken into consideration until the 19th century were differentiable (that is, they had a high degree of regularity). The realms of application of the idea of a function were substantially expanded at the conclusion of the 19th century when it was defined in terms of set theory.

The inverse of the function is given by option (D) 1/64x², for x≥0

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Let x be the larger number and y be the smaller number.

Given the difference between two numbers is 16.

Given larger number is five less than four times the smaller number.

Now, solve the equation (1)

Put x in the 2nd equation.

Further solved as,

Now, put the value of y in equation (1)

Thus,

Therefore, the two numbers are 23 and 7.

The endpoints are (1,4) and (-9,-6). The equation for the perpendicular bisector of the line segments with given end points is x-y+3=0.

Given that,

The endpoints are (1,4) and (-9,-6).

We have to find the equation of the perpendicular bisector of the line segments with given end points.

First we have to find

The slope of the line m= [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

m=(-6-4)/(-9-1)

m=-10/-10

m=1

Now,

The equation of the line is y-y₁=m(x-x₁)

Taking point (1,4)

y-4=1(x-1)

y-4=x-1

x-y+4-1=0

x-y+3=0

Therefore, the equation for the perpendicular bisector of the line segments with given end points is x-y+3=0.

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We can divide our birdhouse in 4 rectangles and 2 squares. Each rectangle has measure

and eac square has measure

Then, the total area of our birdhouse is

which gives

the birdhouse has an area:

Now, sinde Erica buy a plywood with dimensions 29x45 in^2, she has

By comparing both numbers, we can see that she have enough wood to make the birdhouse because 1305 in^2 is greater than 406 in^2.

As given by the question

There are given that the function

Now,

According to the concept,

x+4 means, horizontal translation of 4 units left.

Hence, the correct option is D.

Solution

Explanation:

The equation of a horizontal line passing through a point (a, b) is y = b, where 'b' is constant because in the equation y = mx + b, where 'b' is the y-intercept, there is no change in the value of y on the horizontal line and the slope is zero, therefore, the equation of a horizontal line is y = b.

Answer:

The general equation of a horizontal line is y = b where b is constant.

From 10:15 a.m. to 12:00 p.m. there are 1:45 hours. From 12:00 p.m. to 4:45 p.m. there are 4:45 hours therefore, each day Mr. Douglas works

hours.

Now, each week, Mr. Douglas works 4 days therefore, in one week, he works:

hours. Simplifying the above resut we get:

Finally, in four weeks Mr.Douglas works:

Answer:

Answer:

9r=27

Step-by-step explanation:

Let's make the operation:

Therefore the answer is:

SOLUTION

The graph is a function

The domain is all real numbers apart from 0 given by the interval

(-∞,0) ∪ (0,∞)

The Range of the function is all positive numbers given by the interval

(0,∞)

The function is increasing on the interval

(-∞,0)

The function is decreasing on the interval

(0,∞)

The required distance would be 17.88 units coordinates A(-4,5) and B(12,13) and the horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.

The distance between two points is defined as the length of the line segment between two places representing their distance.

Given AB with coordinates A(-4,5) and B(12,13).

The formula of the distance between two points is A(x₁, y₁) and B(x₂, y₂) is given by: d (A, B) = √ (x₂ – x₁)² + (y₂ – y₁) ².

x₁ = -4, y₁ = 5

x₂ = 12, y₂ = 13

distance = √ (12 – (-4))² + (13 – 5)²

distance = √ (12 + 4)² + (8)²

distance = √ (16)² + (8)²

distance = √ (256 + 64)

distance = √320

distance = 17.88 units

The horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.

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The probability P10 for a data with mean of 198 and standard deviation of 74.5 is P10 = 25.15%

As per the question statement, a distribution of values is normal with a mean of 198 and a standard deviation of 74.5 and we are supposed to find P(10), which is the score separating the bottom 10% from the top 90%.

Given mean (µ) = 48.5 , SD(σ) = 18.2

z = (X - μ) / σ, where X = data

X = 216.74

z = (216.74 - 198) / 74.5 = 0.2515 or 25.15%

Hence the probability P10 for a data with mean of 198 and standard deviation of 74.5 is P10 = 25.15%

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Absolute value inequalities are defined by the following properties:

Notice that when the absolute value expression is greater than real numbers, the solution is defined.

hello

to solve this question we should simply express this in percentage

from the calculation above, the percentage of houses painted yellow are 28%

In one hour number of cars pass a pparticular intersection is 32.

The number of hours to pass 96 cars is three times the hours to pass the 32 cars.

Determine the number of hours to pass 96 cars from a particular intersection.

Answer: 3 hours

Given the information, we have the following right triangle:

notice that x represents the distance from the base of the ladder to the house.

Then, using the trigonometric function sine we have the following:

thus, the base of the ladder is 1.35m from the house

When we draw a perpendicular bisector, we are also:

1. Bisecting a line

2. Bisecting a line segment

A paralallel line is not correct. The draw is for bisecting AB, not for a parallel line to AB.

Therefore, the correct answers are:

A, C and D.

Solution:

Given the inequality;

Divide both sides of the inequality by -10 and change the sign;

Thus, the solution on the number line is;