If y varies directly as z and y = 19 when z = 152, find the equation of the variation.

The length of the midsegment of a trapezoid whoe vertices are E(-7,6), F(-2,5) is 5.1 units

From the question, we have the following parameters that can be used in our computation:

E = (-7, 6) and B = (-2, 5)

The length of the midsegment given the two points is the distance between the two points

And this can be calculated using the following distance equation

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where

(x, y) =  (-7, 6) and (-2, 5)

Substitute (x, y) =  (-7, 6) and (-2, 5) in distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, we have the following representation

distance = √[(-7 + 2)² + (6 - 5)²]

Evaluate

distance = 5.1

Hence, the length is 5.1 units

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Answer: The probability of getting exactly 4 heads in 4 tosses of a fair coin is 0.0625, or 6.25%.

Step-by-step explanation:

We can use the formula for combinations, which is:

n! / (r! * (n - r)!)

In this case, n is the total number of tosses (4) and r is the number of successes we want to count (4 heads). Plugging these values into the formula, we get:

4! / (4! * (4 - 4)!) = 4! / (4! * 0!) = 4! / (4! * 1) = 1 / 1 = 1

The probability of getting exactly 4 heads in 4 tosses of a fair coin is therefore 1, or 100%. However, this is assuming that the coin is not fair and always lands on heads. If the coin is fair, the probability of getting 4 heads in 4 tosses is actually much lower.

To find the probability of getting 4 heads in 4 tosses of a fair coin, we need to use the formula for binomial probability, which is:

(n! / (r! * (n - r)!) * p^r * (1 - p)^(n - r)

In this case, p is the probability of getting a head in a single toss of the coin (0.5), r is the number of successes we want to count (4 heads), and n is the total number of tosses (4). Plugging these values into the formula, we get:

(4! / (4! * (4 - 4)!) * 0.5^4 * (1 - 0.5)^(4 - 4) = 1 * 0.5^4 * (1 - 0.5)^0 = 0.5^4 * 1 = 0.0625

Thus, the probability of getting exactly 4 heads in 4 tosses of a fair coin is 0.0625, or 6.25%, to the nearest thousandth.

The points (x, y) lie in the 2nd quadrant when x<0 and y>0.

Two-dimensional Cartesian axes separate the plane into four infinite regions known as quadrants, each of which is bordered by two half-axes.

The coordinate system's two axes, the x-axis, and the y-axis constitute a region called a quadrant.

The quadrants are generated when the two axes, the x-axis, and the y-axis, cross at a 90-degree angle.

These areas include coordinates or positive and negative values of the x- and y-axes.

So, refer to the graph attached below.

Now, we know that:

Quadrant 1: x>0, y>0

Quadrant 2: x<0, y>0

Quadrant 3 x<0, y<0

Quadrant 4: x>0, y<0

We are given: x<0 and y>0

We can say that when x<0 and y>0 the point (x, y) lies on the 2nd quadrant.

Therefore, the points (x, y) lie in the 2nd quadrant when x<0 and y>0.

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To determine whether the proportions of widows and widowers living different lengths of time after the death of their spouse are equal, you can conduct a chi-squared test of independence. This test compares the observed frequencies (the number of widows and widowers living different lengths of time) to the expected frequencies, which are the frequencies that you would expect to see if the two variables (widowhood and length of time survived) were independent.

To perform the chi-squared test, you will need to calculate the chi-squared statistic and the corresponding p-value. If the p-value is less than 0.05, you can conclude that there is a significant difference between the proportions of widows and widowers living different lengths of time after the death of their spouse. If the p-value is greater than 0.05, you cannot conclude that there is a significant difference between the proportions of widows and widowers.

To calculate the chi-squared statistic and p-value, you will need to follow these steps:

Calculate the expected frequencies for each group (widows and widowers) in each time period (less than 5 years, 5-10 years, more than 10 years). To do this, you will need to multiply the total number of widows (100) by the proportion of widows in each time period, and the total number of widowers (100) by the proportion of widowers in each time period.

Subtract the expected frequencies from the observed frequencies and square the result for each time period.

Divide each squared difference by the expected frequency and sum the results. This is the chi-squared statistic.

To calculate the p-value, you will need to consult a chi-squared table or use a statistical software program to determine the p-value corresponding to the chi-squared statistic and the degrees of freedom (which is equal to the number of time periods minus 1).

If the p-value is less than 0.05, you can conclude that there is a significant difference between the proportions of widows and widowers living different lengths of time after the death of their spouse. If the p-value is greater than 0.05, you cannot conclude that there is a significant difference between the proportions of widows and widowers

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This is true.it is important to understand how the online sampling method works and to interpret the sampling procedure correctly with respect to basic sampling concepts.

Sampling helps a lot in research. It is one of the most important factors which determines the accuracy of your research/survey result. If anything goes wrong with your sample then it will be directly reflected in the final result.

With the help of sampling, you can test a statistical hypothesis on the features of a population. Why do samples get utilized in studies? Using samples, one can draw conclusions about populations. Samples are more practical, affordable, convenient, and controllable, making data collection from them easier.

So, it is concluded that it is important to understand how the online sampling method works and to interpret the sampling procedure correctly with respect to basic sampling concepts.

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Answer:

slope = 3 , y- intercept = - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

- 5 - y = - 3x ( add 5 to both sides )

- y = - 3x + 5 ( multiply through by - 1 )

y = 3x - 5 ← in slope- intercept form

with slope m = 3 and y- intercept c = - 5

Answer:

You could pick as many as you like. Ideally you would use all the leaves on the tree, but that would be rather a large number to measure, and your parents might not be very happy if you stripped the tree bare!So let's try 100 leaves.How to get a random sample?Here is one way you could get a random sample:Try taking all the leaves on one branch of the tree. After you've discarded any that are broken, then see how many there are. If there are less than 100, then get the leaves from another branch until you have more than 100. Then write a different number (starting with 1) on each leaf with a marking pen.Write the same numbers on small pieces of paper.Fold the pieces of paper.Put them into a hat and mix them up.Draw 100 pieces of paper (without looking) from the hat. The first 100 pieces of paper you draw would give you the numbers of the leaves to use in the experiment.The next thing you need to decide is how to measure the leaves, andhow accurate your measurements should be:How to measure?Keeping your leaves flat, use a ruler to measure the length of each leaf from the pointy part at one end of the leaf to the point where the leaf joins the stalk at the other end. Maybe your leaves bend a bit, but don't follow the main rib of the leaf as this would make measurement too difficult.Just measure in a straight line as shown in the following diagram:leafHow accurate?You should measure the length of each leaf to the nearest millimeter.Now you're ready to begin.Measure the length of each leaf to the nearest millimeter and record you results in a table, as follows:

Step-by-step explanation:

Step-by-step explanation:

it is the process of changing rows to columb

Answer: (-1/7)x - 34 = 1/4

Step-by-step explanation: The solution for all other equations is 7 and for the 3rd equation, the solution is 239.75 or 959/4

1) 3/4 X +5=-1/4

x=-7

2) 1/2X - 3 = 1/2

x=7

3) x = -137×7 /4

4) x= -7

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A 95% confidence interval for the fraction of fortune 500 ceos who believe Indiana university(IU) deserves its ranking is ( 0.279, 0.361)

According to the question,

Total number of sample taken for questionnaire = 500

Number of people responded = 160

Sample Proportion : p = 160/500

=> p = 0.32

Proportion of people who has not responded : q = 1 - p

=> q = 0.68

We have to create a 95% confidence interval for the fraction of fortune 500 ceos who believe Indiana university(IU) deserves its ranking.

Formula of C.I = p ± z√pq/n

Where p and q is sample proportion , z is value of CI at given α level of significance and n is sample size

C.I at 95% = 0.32 ± 1.96√0.32×0.68/500

=> 0.32 ± 1.96 √0.0004352

=> 0.32 ± 1.96 × 0.0208

=> 0.32 ± 0.0408

C.I = ( 0.32 - 0.0408,  0.32 + 0.0408)

=> C.I = ( 0.279, 0.361)

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The mean absolute deviation of the given numbers is 0.5.

The mean is the sum of all values divided by the total number of values.

The mean of the given number is obtained by dividing the sum of the values by its total number of value.

i.e.  (1.6+1.7+2.5+2.8+2.8+3)/6 = 2.4

Then taking the difference of each number from the mean.

i.e. (1.6-2.4), (1.7-2.4),(2.5-2.4),(2.8-2.4),(2.8-2.4),(3-2.4)

i.e. -0.8,-0.7,0.1,0.4,0.4,0.6

Take the sum of the absolute value of the above numbers

i.e. |-0.8+-0.7+0.1+0.4+0.4+0.6| = 3

Divide 3 by 6 to obtain mean absolute deviation.

i.e 3/6 = 1/2 =0.5

Hence, 0.5 is the mean absolute deviation of the given numbers.

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Answer:

x = 0.91

Step-by-step explanation:

x = 1.47 x 0.62

x = 0.9114

round x = 0.9114 to the required place

x = 0.91

Using the given data, the number of suspects is; 7

The union of two sets A and B is the set of all those elements which are either in A or in B, and which is denoted as A ∪ B.

However, the intersection of two sets A and B is defined as the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B.

Now, we are told that;

Total number of people in the office = 30 people

Number of people wearing a white button down shirts = 22

Number of people wearing black pants = 16

Number of people wearing a multicolored tie = 7

Thus, by definition of intersection of sets, if the suspect was wearing black pants, a white button-down shirt, and a multicolored tie, then;

The number of suspects =  A ∩ B ∩ C = 7 people

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The answer to each part is -

        y = mx + c    

        where -

        [m] : slope of line
        [c] : y - intercept                    

Given is the graph of a straight line as shown.

[A] - A second equation for the system so it has infinitely many solutions can be the one that overlaps the line given. So the second equation can be written as follows. The points are -

(0, 4) and (4, 1)

Let the line be -

y = mx + c

m = (1 - 4)/(4 - 0) = -3/4

m = -3/4

So, the equation will be -

y = (-3/4)x + 4

[B] -

For no solution, the line will be parallel to the given line. The equation of the line is → y = (-3/4)x + 4. The equation whose graph goes through (0, 1) so the system has no solutions as : y = (-3/4)x + 1.

Therefore, the answer to each part is -

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correct answer is a) 20.53 feet per second

John can ride his bicycle at a rate of 20.53 feet per second.

How do I calculate feet per second?

Multiplying your foot-per-minute speed by 60. This is how many seconds there are in a minute. Your speed in feet per second is the outcome. For instance, 88 feet per second is equal to 5,280 feet per minute divided by the 60 seconds in a minute.

How long is a second in feet?

One-degree of longitude equals 288,200 feet (54.6 miles), one minute equals 4,800 feet (0.91 mile), and one second equals 80 feet.

Is feet per second velocity?

A unit of velocity and speed (scalar) is the foot per second (plural feet per second) (vector quantity, which includes direction). It represents the traveled or displaced distance in feet (ft) divided by the time (in seconds) (s).

[tex]\frac{14 miles}{1 h}[/tex] × [tex]\frac{5280 ft}{1 mile}[/tex]= [tex]\frac{73920 ft}{1 hr}[/tex]

[tex]\frac{73920 ft}{1 hr}[/tex] × [tex]\frac{1 hr}{60 min}[/tex]= [tex]\frac{1232 ft}{1 min}[/tex] ×[tex]\frac{1 min}{60s}[/tex]= [tex]\frac{20.53ft}{1s}[/tex]

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Answer:

55 is 40% of 137.5.

Step-by-step explanation:

To find the number that 55 is 40% of, you can divide 55 by 40% to get 137.5. This means that 55 is 40% of 137.5.

The required factorized form of the given expression is  2(125a³ + 27).

The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.

Here,
In the given expression,
Taking 2 common,
= 250a³ + 54
= 2(125a³ + 27)

Thus, the required factorized form of the given expression is  2(125a³ + 27).

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Answer:

1 -  $15

2-  $30

3 - $45

4 - $60

Step-by-step explanation:

$15/hour

1 -  $15 =1*15

2-  $30 =2*15

3 - $45 =3*15

4 - $60=4*15

Answer:21x-4

Step-by-step explanation:

5x*5x=25x

-9+5=-4

-2x*-2x=-4x

-4x+25x= 21x

21x=-4x

have a nice day <3

Answer:

x=-3/7

Step-by-step explanation:

The college graduate's new net worth is given as follows:

$13,833.

The net worth of a company or of a person is given by the sum of the values of all assets of the person subtracted by the sum of the values of all debts of the person.

The assets if the student are given as follows:

The liabilities of the student are given as follows:

Thus the student's net worth is calculated as follows:

(10000 + 14278 + 4337 + 14950 + 11774) - (3250 + 5129 + 33097) = $13,863.

Which is closest to the third option among those given.

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Answer:

the correct answer is 12057

Step-by-step explanation:

in order to calculate net worth, add up the assets, and then subtract the debt. be sure to pay attention to details

heres an UNRELATED TO THE QUESTION example:

i have...

$500 in my savings

$20 in my wallet

but im $200 deep in credit card debt..

(add 500 + 20, then subtract 200)

net worth: 320

Answer:

True

Step-by-step explanation:

The point [tex](0,3)[/tex] lies on the graph.

Answer:

(0, 3)

Step-by-step explanation:

The function is p(x).

p(0) = 3 means at x = 0, p = 3.

The ordered pair is (0, 3)

Answer:44

Step-by-step explanation:

Add up all the sides

Answer:

26 ( I THINK)

The area is 26 square centimeters.

Step-by-step explanation:

So usally you add

W x L x H = V

The possible solutions of the inequality expression given as 20y < -5 + 18y are (c) y < -5/2, y < -2.5 and (d) -2.5 > y

From the question, we have the following parameters that can be used in our computation:

20y < -5 + 18y.

To start with, we need to collect the like terms of both sides

Using the above as a guide, we have the following:

20y -18y < -5

Next, we need to evaluate the like terms of both sides

Using the above as a guide, we have the following:

2y < -5

Lastly, we divide both sides by 2

y < -5/2

Express as decimal

y < -2.5

Switch the positions

-2.5 > y

Hence, the solutions are y < -5/2, y < -2.5 and -2.5 > y

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4x^2 - 16x + 16 = 0

factor out the CGF which is 4

rewrite

x^2 - 4x + 4

factor

(x - 2)(x-2)

x = 2

The width of a rectangular prism with a surface area of 930 square units is  21.4 units.

What is the surface area of the rectangle?

The area of the rectangle can be calculated by multiplying l×w, The units associated with the surface area will always be units squared. The area is the result of multiplying two dimensions, length, and width, which can be represented as a power of 2.

The surface area of the rectangular prism is given by:

SA = 2lw + 2lh + 2wh

Where,

l: length

w: width

h: height

Therefore, by substituting values we have:

the surface area of 930 square units if its length is 12 units and its height is 9 units.

SA = 2lw + 2lh + 2wh

930 = 2(12)w + 2(12)(9) + 2w(9)

930 = 24w + 33 + 18w

930 - 33 = 24w + 18w

897 = 42w

w = 897/42

w = 21.4

Hence, the width of a rectangular prism with a surface area of 930 square units is  21.4 units.

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Answer:

a) checkpoint 5

b) checkpoint 3

c) Its above sea level

hope that helps :)

Step-by-step explanation:

Answer:

I think it's 2:1

Step-by-step explanation:

if I'm wrong in sorry

Answer:

Step-by-step explanation:To rewrite 4/6 : 1/3 as a unit rate, we need to first find a common denominator for the fractions. The least common multiple of 6 and 3 is 6, so we can use this as the common denominator.

We can then rewrite the fractions as follows:

4/6 : 1/3 = (4/6) * (3/3) : (1/3) * (2/2)

Simplifying, we get:

2/3 : 2/3

This is a unit rate, with a value of 2/3.