the number of telephone lines in each country in central america and the caribbean is shown above in a dot plot. the number of telephone lines in each country has been rounded to the nearest 250250250 thousand. according to the dot plot, what is the median number of telephone lines in thousands?

The measure of angle JIL is 59°.

We are given that;

Ray IL bisects angle HIJ, we know that the measure of angle HIL is equal to the measure of angle JIL.

Using the given expressions for these angles, we can write:

m∠HIL = m∠JIL

(6x − 7)° = (5x + 4)°

To solve for x, we can subtract 5x from both sides and add 7 to both sides:

x − 7 = 4

x = 11

Now that we have the value of x, we can plug it into the expression for m∠JIL and simplify:

m∠JIL = (5x + 4)°

m∠JIL = (5 × 11 + 4)°

m∠JIL = (55 + 4)°

m∠JIL = 59°

Therefore, by the angle the answer will be 59°.

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Answer:

1 year ---->12 months

8 years ---> 12×8 =96 months

so there will be 96 months in a 8 years .

Answer:

can you connect me private?

To find [tex]\frac{2}{3}[/tex] of a whole number, you can divide the number by 3 and then multiply the result by 2.

For example, if you want to find [tex]\frac{2}{3}[/tex] of the number 15, you can perform the following calculation:

[tex]\frac{2}{3}[/tex] × 15 = 10

This means that [tex]\frac{2}{3}[/tex] of the number 15 is equal to 10.

You can also find [tex]\frac{2}{3}[/tex] of a whole number by dividing the number by 3 and then multiplying the result by 2.

For example:

[tex]\frac{15}{3}[/tex] = 5

2 × 5 = 10

So, [tex]\frac{2}{3}[/tex] of the number 15 is also equal to 10.

Alternatively, you can find [tex]\frac{2}{3}[/tex] of a number by expressing it as a decimal. [tex]\frac{2}{3}[/tex] can be expressed as 0.6666666667, so you can multiply the whole number by 0.6666666667 to find [tex]\frac{2}{3}[/tex] of it. For example:

0.6666666667 × 15 = 10

So [tex]\frac{2}{3}[/tex] of the number 15 is equal to 10.

A whole number is a positive integer that is greater than 0, such as 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, etc. Whole numbers do not include fractions, decimals, or negatives.

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Answer:

4(2)^(2/3)   or   4∛(4)

Step-by-step explanation:

Rules of Exponents..

16^(2/3)

= (2^4)^(2/3)

= 2^(8/3)

= 2^(2 + 2/3)

= 2^2 · 2^(2/3)

= 4(2)^(2/3)   or   4∛(4)

Answer:

1) y = -x -1

2) y + 4 = 3( x -2)

3) y = x + 1

Step-by-step explanation:

1)

The slope is the change in y over the change in x.  The y values from the points given is 0 and -1.  The x values from the points given is -1 and o

Slope: [tex]\frac{o - -1}{-1 - o}[/tex] = [tex]\frac{1}{-1}[/tex] = -1

y -intercept

y = mx + b  Use the point (0,-1) and the slope to solve for b

y = -1

m = -1

x = 0

y = mx + b

-1 = -1(0) + b

-1 = 0 + b

-1 = b  This is the y intercept.

y = mx + b

y = =x -1

2)

point-gradient form is

y -y = m (x-x)

y - -4 = 3 (x -2)

y + 4 = 3( x - 2)

3)

Parallel lines have the same slope.

slope is 1.  Use this and the point (0,1) to solve for b

y = mx + b

1 = 1(0) + b

1 = 0 + b

1 = b

y = x + 1

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{18}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{18}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{ 12 }{ 2 } \implies 6[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 6}(x-\stackrel{x_1}{3}) \\\\\\ y-6=6x-18\implies {\Large \begin{array}{llll} y=6x-12 \end{array}}[/tex]

The indicated critical value for significance level of 0.03 should be approximately 1.88.

In standard normal distribution, the critical value is the mark or point that seperates region of acceptance and rejection. In one-tailed test having significance level of 0.03, it will indicate the probability of getting a value that will be more than or equal to 0.03.

The calculation of critical value can be done in many ways. Either look through the standard table or use calculator for the same. The latter is done by using inverse function on standard normal cumulative distribution function. It should be around 1.88.

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Answer:

$9430 / $10,230 * 100% = 92.4%

Step-by-step explanation:

To find the car's rate of depreciation, we need to first calculate the total amount of depreciation that occurred over the 5 years of use. This can be done by subtracting the sale price of the car from its original price:

$10,230 - $800 = $<<10230-800=9430>>9430

Next, we need to divide the total amount of depreciation by the original price of the car and multiply by 100% to express the result as a percentage:

Therefore, the car's rate of depreciation was 92.4%, to the nearest tenth percent. This means that the value of the car declined by 92.4% over the 5 years of use.

Answer:

Below

Step-by-step explanation:

(5x+6) / 2   =  3 - ( 4x+12)    expand R side

(5x+6) / 2 = -4x - 9                      answer B     now multiply both sides by 2

5x + 6 = -8x - 18                          answer E

and finally

(5x+6) / 2 = 3 - (4x+12)          expand L side

5/2 x + 3  = 3 - (4x+12)         answer C

The values of the missing angles in the parallelograms are as follows;

A parallelogram can be defined as a quadrilateral that has a pair of opposite parallel sides that have the same lengths.

Let x represent the missing angle in the figures in the question;

1) The adjacent angles of a parallelogram are supplementary

The angle x which is the adjacent angle to the angle 72° is a supplementary angle to the angle 72° in a parallelogram KLMN, therefore, we get;

x + 72 = 180, definition of supplementary angles

x = 180 - 72 = 108, by subtraction property

2) The missing angle x is the adjacent angle to the 95° angle in the parallelogram ABCD

Therefore; x + 95 = 180

x = 180 - 95 = 85

3) The missing angle is the opposite angle to the 139° angle

Opposite angles of a parallelogram are congruent

Quadrilateral TUVW is a parallelogram, therefore; x = ∠W = ∠T = 139°

4) The missing angle is an adjacent angle to the 105° in the parallelogram KLMN

Therefore, x + 105° = 180°

x = 180° - 105° = 75°

5) The missing angle, x, is the alternate interior angle to the 19° angle in the diagonal of the parallelogram BCDE

Alternate interior angles between parallel sides CD and BE are congruent.

Therefore, the missing angle is congruent to the 19° angle

6) Adding the missing angle and the 50° together, we get;

x + 50° = m∠E

∠E is the adjacent angle to the 95° angle, therefore;

∠E + 95° = 180°

∠E = 180° - 95° = 85°

∠E = 85°

Therefore; ? + 50° = 85°

x = 85° - 55° = 30°

7) The missing angle and the 29° angle are alternate interior angles

Alternate interior angles formed between parallel lines and their common transversal are congruent, therefore;

8) The sum of the missing angle and the 28° angle is the angle ∠F

∠F and the 110° angle are adjacent angles in the parallelogram DEFG, therefore;

∠F + 110° = 180°

∠F = 180° - 110° = 70°

∠F = 70°

x + 28° = 70°

x = 70° - 28° = 42°

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The volume of the smaller cone is 19.6cm³

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

The above parameter mean that

Smaller cone

Side length = 2 cm

Volume = [?] cm³

Large cone

Side length = 3 cm

Volume = 66 cm³

The ratio of the cones can be represented as

Ratio = Side length³ : Volume

So, we have

2³ : Volume of smaller cone = 3³ : 66

Evaluate the exponents

8 : Volume of smaller cone = 27 : 66

Express as fraction

Volume of smaller cone/8 = 66/27

So, we have

Volume of smaller cone = 8 * 66/27

Evaluate

Volume of smaller cone = 19.6

Hence, the volume is 19.6cm³

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The value of kinetic energy will be 37.5 Jules.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A ball of mass of 6kg rolls with a velocity of 10m/s and creates 300 Jules of kinetic energy.

Now,

Since, A ball of mass of 6kg rolls with a velocity of 10m/s and creates 300 Jules of kinetic energy.

Hence, The value of kinetic energy with a mass of 3kg and a velocity of 5m/s create will be;

⇒ Kinetic energy = 1/2 mv²

⇒ Kinetic energy = 1/2 × 3 × 5²

                           = 1/2 × 3 × 25

                           = 37.5 Jules

Thus, The value of kinetic energy will be 37.5 Jules.

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A dealer bought some 9-volt batteries for $2,400. She sold them for $5,600, making a profit of $1.60 on each battery. 2,500 batteries were involved in the deal.

The dealer bought some 9-volt batteries for $2,400 and she sold them for $5,600. To find out how many batteries were involved, we need to calculate how much she made from each battery. We can do this by subtracting the cost of the batteries from the selling price and then dividing it by the number of batteries. Profit per battery = $5,600 - $2,400 = $3,200. Number of batteries = $3,200/$1.60 = 2,500. Therefore, the dealer bought 2,500 batteries.

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Answer: plug -15 in for x and if we get get -9 out because 2/3 of -15 is -10 and -10+1 =-9
we can do the same for the rest of these and we see that they'll come out to the y value

Answer:

988 m^2

Step-by-step explanation:

A=wl

A=38*26 = 988 m^2

Answer:

The store needs [tex]988m^2[/tex] of flooring.

Step-by-step explanation:

To find how many square meters of flooring the store needs, we need to find the area of the floor.

⭐ What does the area of a shape mean?

We are given that the length is 38 meters and the width is 26 meters.

Substitute these values into the area formula.

area = length*width

area = 38*26

∴ area = 988[tex]m^2[/tex]

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Answer:

fourth option

Step-by-step explanation:

to prove that HJ is parallel to KL , then KL divides the sides HG and JG proportionally , that is

[tex]\frac{GK}{HK}[/tex] = [tex]\frac{GL}{LJ}[/tex]

Answer:

8/15

Step-by-step explanation:

There is no GCF (greatest common factor) in this. These numbers are relatively prime.

Since, there are 08 students in the class, among 02 of  them should be selected as the best students in the class. In 28 different ways this can be done.

Use the formula of combinations given as ⁿ[tex]C_{r}[/tex] to find the numbers of possible ways to select r things out of a total of n things. Let n be the total number of students in the class and r as the number of students required to be selected as best students in the class. Now, use the formula

ⁿ[tex]C_{r}[/tex] = [tex]\frac{r!}{(n- r)!}[/tex] to simplify the expression .

Given that a class has 8 students in which 2 students will be selected for a best students in the class. .

Therefore, n = 08 and r = 02, substituting these values in the formula we get,

Number of possible ways of selection = ⁿ [tex]C_{r}[/tex] = ⁸C₂

Now,

Number of possible ways of selection = [tex]\frac{8!}{2! ( 8 - 2)!}[/tex]

Or, Number of possible ways of selection = [tex]\frac{8!}{2! 6!}[/tex]

Solving further,

Number of possible ways of selection = 8 × 7× 6!/ 2× 1 ×6!

Number of possible ways of selection = 4 × 7 = 28

Hence, the total number of ways to select the required number of students is 28.

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The surface area of the prism is 166 mm² in the given figure.

The total surface area of the given prism can be expressed in terms of length (l), width (w), and height of cuboid (h) as:

Surface area of prism = 2 (lw + wh + lh) ....(i)

As per the given figure, we have

length (l) = 5 mm

width (w) = 4 mm

height (h) = 7 mm

Substitute the values in the formula, and solve

Surface area of prism = 2 (5 x 4 + 4 x 7 + 7 x 5)

Surface area of prism = 2 (20 + 28 + 35)

Surface area of prism = 2 (83)

Surface area of prism = 166 mm²

Thus, the surface area of the prism is 166 mm² in the given figure.

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Answer:

5

Step-by-step explanation:

[tex]\frac{7.5}{1.5}[/tex] = 5

Step-by-step explanation:

This is the answer for 1., but the steps are the same for the rest of the questions, so I am sure you will be able to get the rest!

Slope is the value in front of the X and basically tells us how far up or down the line moves in 1 square across the line. It goes up if it is positive, and down if it is negative.

Y-intercepts can be found by plugging in 0 for x.

For question 1:

y=[tex]\frac{3}{5}[/tex](0)+3=3 so the y-intercept is 3 up from 0.

Then, we can use our slope which is a fraction, the top can be thought of as rise and the bottom is run. This means each point will be 3 up and 5 to the right.

Answer:

2/ Points at (0,-5), ( 1,-4), (2,-3)

Step-by-step explanation:

The slope is rise/run

The slope is x, which mean = 1

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Answer: 68.75

Step-by-step explanation:

25 percent equals 0.25

Multiply the decimal by the number to find the percent

0.25*275= 68.75

Answer: 68.75

Step-by-step explanation:

25%/100% = 0.25

275 times 0.25 = 68.75

The slope m of a line passing through two points (x1 , y1) and (x2 , y2) is:

m = (y2 − y1) / (x2 − x1)

If the graph of a line rises from left to right, the slope is positive.

What is slope ?

Slope is a ratio and can have a value that is positive, negative, equal to zero, or undefined. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run".

What is positive slope ?

A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y also decreases. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises. We will learn in other sections that “price” and “quantity supplied” have a positive relationship; that is, firms will supply more when the price is higher.

The slope m of a line passing through two points (x1 , y1) and (x2 , y2) is:

m = (y2 − y1) / (x2 − x1)

If the graph of a line rises from left to right, the slope is positive.

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The probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher is 0.2937.

In the given question,

Suppose computing speed of processors are normally distributed with mean 3.5GHz with standard deviation 0.26GHz

We have to find the probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher.

Probability that 3 out of 7 randomly chosen processors clocks a speeds of 3.55 or higher is given

p = 0.4247

Now the probability follows a Binomial Distribution with the parameters, n=7 ad p=0.4247

P(X=x) = [tex]^nC_{k}(p)^k(1-p)^{n-k}[/tex]

Now putting the values

P(X=x) = [tex]^7C_{3}(0.4247)^3(1-0.4247)^{7-3}[/tex]

After solving;

P(X=x) = 0.2937

Hence, the probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher is 0.2937.

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The write question is:

Suppose computing speed of processors are normally distributed with mean 3.5GHz with standard deviation 0.26GHz. The probability that a randomly selected processor clocks a speed of 3.55 or higher is 0.4247.

What is the probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher?

The mean number of number of people in passengers cars on the highway is given as follows:

E. 6.28.

The expected value of a discrete distribution is calculated as the sum of each value multiplied by it's respective probability.

The distribution in this problem is given as follows:

Then the expected value before the transformation is given as follows:

E(X) = 0.56 x 1 + 0.28 x 2 + 0.08 x 3 + 0.06 x 4 + 0.02 x 5 = 1.7.

The transformation is given as follows:

Y = 0.75x + 5.

Thus the expected value after the transformation is of:

E(X) = 0.75(1.7) + 5 = 6.28.

Meaning that option E is correct.

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As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.

Hypothesis

In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.

Given,

Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.

And we need to find in which statistical inference procedures should we use.

According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.

So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.

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26 points are scored in the fifth game.

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

First four games, a netball team scores an average of 31 points per game.

x/4=31

Let x represents four games

x=124

After the fifth game, the average for the first five games is 30

y/5=30

Let y represents five games

y=150

We need to find the number of points scored in fifth game.

x-y

124-150

26

Hence, 26 points are scored in the fifth game.

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Answer:

Step-by-step explanation:

This distance can be calculated by using the distance formula. The distance between two points ( x 1 , y 1 ) and ( x 2 , y 2 ) can be defined as d = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 .Jun 2, 2017

Angle DCE = 91°

Hope it helps