Country A has a population of 514,482 and Country B has a population of 523,407. How would you compare these populations

The probability that a student chosen at random will play an instrument other than the guitar is 73%.

In the seventh grade,

the number of students who play instruments other than the guitar

= 14 + 14 + 8

= 36.

In the eighth grade,

the number of students who play instruments other than the guitar

= 2 + 6 + 4

= 12.

Therefore, the total number of students who play instruments other than the guitar

= 36 + 12 = 48.

and, The total number of students in both grades

= 11 + 14 + 14 + 8 + 7 + 2 + 6 + 4

= 66.

So, the probability that a student chosen at random will play an instrument other than guitar is

= 48/66 x 100

= 72.73%

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The chromatic number of graph G is 4. The graph G obtained from subdividing all edges of K6 has 21 vertices, but to determine its chromatic number, we need to consider its underlying structure.

K6 is a complete graph with 6 vertices, which means that any two vertices in K6 are adjacent.

When we subdivide the edges of K6, each edge is split into two vertices, increasing the total number of vertices.

In G, since K6 is a complete graph, every vertex in G will be adjacent to every other vertex. By subdividing the edges, we introduce additional vertices that are adjacent to all the original vertices. This leads to a complete bipartite graph structure in G.

The chromatic number of a complete bipartite graph is 2, as we can color one set of vertices with one color and the other set with another color. However, since G has additional vertices that are adjacent to all the original vertices, we need to introduce two additional colors to properly color those vertices.

Therefore, the chromatic number of G is 4.

As for the planarity of G, determining planarity requires a more detailed analysis of the graph's structure, edge crossings, and application of planarity criteria such as Kuratowski's theorem or the Euler's formula. Without further information or analysis, it is not possible to determine if G is planar or not.

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Answer:

the trapezoid will go on the side where it states "will have no pair of parallel sides"

Answer:

A trapezoid has at least one pair of parallel sides.

Step-by-step explanation:

Answer:

x = 36

Step-by-step explanation:

Answer: B.) -54

Step-by-step explanation: view screenshot

(a) The percentage of college graduates who support drilling for oil and natural gas off the coast of California is 35.16%, and the percentage of non-college graduates who support it is 33.94%.

(b) The calculated test statistic is 1.20, which is less than the critical value of 1.96. Therefore, we fail to reject the null hypothesis, and we do not have enough evidence to conclude that the proportion of college graduates who support off-shore drilling in California is different than the proportion of noncollege graduates who support it.

We divided the number of supporters in each group by the total number of respondents in that group and multiplied by 100. We found that 154 out of 438 college graduates (35.16%) and 132 out of 389 non-college graduates (33.94%) in the sample support drilling for oil and natural gas off the coast of California.

We set up the null and alternative hypotheses and chose a significance level of 0.05. We calculated the test statistic using the formula for a two-sample z-test for proportions. We found that the calculated test statistic (1.20) is less than the critical value of 1.96, so we fail to reject the null hypothesis. Therefore, we conclude that there is not enough evidence to suggest that the proportion of college graduates who support off-shore drilling in California is different than the proportion of noncollege graduates who support it.

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The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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This is simply because the x coordinate is 6 and the y coordinate is 2.

The line x = 6 is a vertical line in which all points on it have an x coordinate of 6. It goes through 6 on the x axis.

The line y = 2 is horizontal where all points on it have a y coordinate of 2.

The vertical and horizontal lines intersect at (6,2)

The probability of a positive tour result of given data is 5/42.

Let's use the law of total probability to calculate the probability that the tour results will be positive.

First, we need to calculate the probability that exactly 3, or exactly 4, of the inspected sites are functioning:

The probability that exactly 3 of the inspected sites are functioning is:

P(3 functioning) = (4C3 * 6C1) / 10C4 = 24/210 = 4/35

There are 4 ways to choose 3 functioning sites out of the 4 operational sites, and 6 ways to choose 1 non-functioning site out of the 6 non-operational sites. Then, we divide by the total number of possible combinations of 4 sites out of 10.

The probability that exactly 4 of the inspected sites are functioning is:

P(4 functioning) = (4C4 * 6C0) / 10C4 = 1/210

There is only 1 way to choose 4 functioning sites out of the 4 operational sites, and 0 ways to choose non-functioning sites. Then, we divide by the total number of possible combinations of 4 sites out of 10.

Use the law of total probability to calculate the probability of a positive tour result:

P(positive result) = P(3 functioning) + P(4 functioning) = 4/35 + 1/210 = 25/210 = 5/42

Therefore, the probability of a positive tour result is 5/42.

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The number of insects feeding on a tree leaf is a discrete variable.

The number of insects feeding on a tree leaf is a countable variable that can only take on integer values (0, 1, 2, 3, etc.). It cannot take on fractional or continuous values. This is because each insect can either feed on the leaf or not, and there cannot be a fractional or continuous number of insects feeding on the leaf.

Therefore, the number of insects feeding on a tree leaf is a discrete variable. This is in contrast to a continuous variable, which can take on any value within a certain range. For example, the weight of the insects on the leaf would be a continuous variable since it can take on fractional values.

In mathematical terms, the number of insects feeding on a tree leaf can be represented as a discrete random variable X, where X can take on any non-negative integer value.

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a(n) = a(n-1) - 6.
The (n) and (n-1) is a subscript I just don't know to write it here.

The values of the probabilities are P(u or v) = 0.63, P(u and v) = 0 and P(u|v) = 0

The probabilities are given as:

P(U) = 0.26

P(V) = 0.37

For mutually exclusive events, we have

P(u or v) = P(u) + P(v)

So, we have

P(u or v) = 0.26 + 0.37

P(u or v) = 0.63

Also, we have:

P(u and v) = 0

Finally, we have:

P(u|v) = 0

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Answer:

x=11°

Step-by-step explanation:

We can see that the square is split into 4 triangles. We also have the midpoint T. Because Each angle of a square is 90 degrees and ∠PQR is divided in half, m∠PQT=45 degrees. By substitution, (4x+1)=45°

Solve:

(4x+1)=45°

4x=44°

x=11°

Answer:

one solution

Step-by-step explanation:

7+6y=7y

 -6y. -6y

7=y

One solution

Hopes this helps please mark brainliest

Answer:

61600

Step-by-step explanation:

P=2πr

880=2*\(\frac{22}{7} *r\)

\(\frac{7*880}{44} =r\\r=140\\A=\pi r^{2} \\A=\frac{22}{7} *140^{2} \\A=61600\)

Answer:

61600 m²

Step-by-step explanation:

\(\pink{\frak{Given}}\begin{cases}\textsf{ There is a circular park.}\\\textsf{The perimeter of the circular park is 880m$^2$.}\end{cases}\)

Here we are given that the perimeter of the circular park is 880m .

Using this formula , we have ,

\(\sf\longrightarrow 2\pi r = 880m \)

Divide both sides by 2π ,

\(\sf\longrightarrow r =\dfrac{880m}{2\pi}\)

Plug in the value of π which is nearly 22/7 .

\(\sf\longrightarrow r =\dfrac{880m}{2\times\frac{22}{7}} \)

Simplify ,

\(\sf\longrightarrow r =\dfrac{ 880m\times 7}{2\times 22}\)

Simplify ,

\(\sf\longrightarrow \bf r = 140m \)

\(\sf\longrightarrow Area = \pi r^2 \)

Substituting the respective values ,

\(\sf\longrightarrow Area = \dfrac{22}{7} \times (140m)^2 \)

Simplify ,

\(\sf\longrightarrow Area = \dfrac{22}{7} \times 140m\times 140m \)

Simplify ,

\(\sf\longrightarrow \boxed{\bf Area = 61600 m^2}\)

Answer:

The slope of a line is given by the formula "rise over run," or (y2 - y1)/(x2 - x1). In this case, the rise is 7 - 6 = 1, and the run is 4 - p.

So the slope is equal to 1/(4 - p). We are told that this slope is equal to j, so we can set up the equation:

1/(4 - p) = j

To solve for p, we can multiply both sides of the equation by (4 - p) to get:

(4 - p) = j(4 - p)

Then we can simplify the left side and rearrange the terms on the right side to get:

4 - p = 4j - jp

Then we can add p to both sides to get:

4 = 4j - jp + p

Then we can combine like terms to get:

4 = (4 - p)j + p

Then we can rearrange the terms to solve for p:

p = 4 - (4 - p)j

p = 4 - 4j + pj

p = (1 - j)p + 4 - 4j

p(1 - j) = 4 - 4j

p = (4 - 4j)/(1 - j)

This is the value of p that will make the slope of the line with points (p, 6) and (4, 7) equal to j.

Answer:

p = -5

Step-by-step explanation:

\(\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}\)

Given values:

Substitute the given points and slope into the slope formula:

\(\implies \dfrac{1}{9}=\dfrac{7-6}{4-p}\)

\(\implies \dfrac{1}{9}=\dfrac{1}{4-p}\)

Cross multiply:

\(\implies 4-p=9\)

Subtract 4 from both sides:

\(\implies -p=5\)

Divide both sides by -1:

\(\implies p=-5\)

Therefore, the value of p is -5.

The function g(-3) has a value of 3.5

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

The graph of the function g(x)

Also, we have

y = g(x)

To calculate g(-3), we set x = -3

So, we have the following representation

y = g(-3)

Also from the graph

We have the following representation such that

When x = -3, the function is 3.5 (approximately)

So, we have the following representation

y = 3.5

Hence, the value of the function is 3.5

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The median of X is 1;  P(X > 2) = 0; P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0; Var(X) is approximately 0.33; E(X) is 1 and  the value of q such that P(X < q) = 0.95 is 1.9.

(a) To find the median of X, we need to find the value of x for which the cumulative distribution function (CDF) equals 0.5.

Since the PDF is given as f(x) = 1/2 for 0 < x < 2 and 0 otherwise, the CDF is the integral of the PDF from 0 to x.

For 0 < x < 2, the CDF is:

F(x) = ∫(0 to x) f(t) dt = ∫(0 to x) 1/2 dt = (1/2) * (t) | (0 to x) = (1/2) * x

Setting (1/2) * x = 0.5 and solving for x:

(1/2) * x = 0.5;  x = 1

Therefore, the median of X is 1.

(b) To find P(X > x), we need to calculate the integral of the PDF from x to infinity.

For x > 2, the PDF is 0, so P(X > x) = 0.

Therefore, P(X > 2) = 0.

(c) To find the probability that one observation is less than 2 and the other is greater than 2, we need to consider the possibilities of the first observation being less than 2 and the second observation being greater than 2, and vice versa.

P(one observation < 2 and the other > 2) = P(X < 2 and X > 2)

Since X follows a continuous uniform distribution from 0 to 2, the probability of X being exactly 2 is 0.

Therefore, P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0.

(d) The variance of X can be calculated using the formula:

Var(X) = E(X²) - [E(X)]²

To find E(X²), we need to calculate the integral of x² * f(x) from 0 to 2:

E(X²) = ∫(0 to 2) x² * (1/2) dx = (1/2) * (x³/3) | (0 to 2) = (1/2) * (8/3) = 4/3

To find E(X), we need to calculate the integral of x * f(x) from 0 to 2:

E(X) = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1

Now we can calculate the variance:

Var(X) = E(X²) - [E(X)]² = 4/3 - (1)² = 4/3 - 1 = 1/3 ≈ 0.33

Therefore, Var(X) is approximately 0.33.

(e) The expected value of X, E(X), is given by:

E(X) = ∫(0 to 2) x * f(x) dx = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1

Therefore, E(X) is 1.

(f) The value of q such that P(X < q) = 0.95 can be found by solving the following equation:

∫(0 to q) f(x) dx = 0.95

Since the PDF is constant at 1/2 for 0 < x < 2, we have:

(1/2) * (x) | (0 to q) = 0.95

(1/2) * q = 0.95

q = 0.95 * 2 = 1.9

Therefore, the value of q such that P(X < q) = 0.95 is 1.9.

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Answer:

x • (42x2 + 49x - 30)

Are you on canvas??

Answer: yes because you can divide each side of the bigger triangle by. 2 to get the little triangle

Step-by-step explanation:

The approximate number of gallons of water per acre for the given cornfield is 526,316 gallons per acre.

To calculate the gallons of water per acre, we divide the total number of gallons of water (15,000,000 gallons) by the area of the corn field (28.6 acres):

15,000,000 gallons ÷ 28.6 acres ≈ 526,316 gallons per acre.

Therefore, the answer is not among the given options. The closest option to the calculated value is c) 500,000 gallons per acre, which is an approximation of the actual value.

It's important to note that the calculation assumes an even distribution of water across the entire cornfield. The actual amount of water per acre may vary based on factors such as irrigation methods, soil conditions, and crop requirements.

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Answer:

Vertex.

Step-by-step explanation:

There are 3 medians in a triangle.

Answer:

The answer is vertex

Step-by-step explanation:

The  sketching of the vector field is attached herewith.

Since we know  the formula for the vector field is :

F(x, y, z) = -yi+ xj = xj -yi, where  x and y are the magnitude and i and j are the unit vectors for the x and y - axis .Since we the  points we are given with are:(-2, -2, -2) ,(-2, -2, 2) ,(-2, 2, -2),(-2, 2, 2),(2, -2, -2) ,(2, -2, 2),(2, 2, -2) , (2, 2, 2). So the  filed vectors  for individual points will be just substituting the magnitude of  the individual axis :

F(-2, -2, -2)   =  -2j +2i

F(-2, -2, 2)  =   -2j +2i

F(-2, 2, -2) =  -2j -2i

F(-2, 2, 2)  =   2j +2i

F(2, -2, -2)  =  -2j-2i

F(2, -2, 2)  =  -2j -2i

F(2, 2, -2)   =  2j -2i

F(2, 2, 2)    =  2j -2i

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Answer:

hi

Step-by-step explanation:

Answer: i cant help but can u please give me brainliest

Step-by-step explanation:

Answer:

50.84353551

Step-by-step explanation:

the volume of cone= 1/3 × πr²h

putting the value and calculating,

i get the answer.

Answer:

AB = 47 (answers may vary)

Step-by-step explanation:

BC = 35

AC = 52

C, in fact, can be any number you choose less than 35;

For example,

C= 20

35 - 20 = 15

B = 15

52 - 20 = 32

A = 32

AB = 32 + 15 = 47

Answer:98

Step-by-step explanation:

Answer:

14x7= 98

Step-by-step explanation:

for multiplication, think about if there are 9, 10 base blocks and 8, 1 base block

Answer:.

Answer:1.we have dividend =divisor*quotient+remainder=

(x²+2x-1)(x²-2x+1)+(-4x+1)

=x²(x²-2x+1)+2x(x²-2x+1)-1(x²-2x+1)-4x+1

=x⁴-2x³+x²+2x³-4x²+2x-x²+2x-1-4x+1

=x⁴-4x²

Dividend is x⁴-4x².

2.

Multiplier is a-a²+1.

Answer:

\(i \: hope \: the \: above \: picture \\ helps\)

\(have \: a \: nice \: day \: \)

\(#Liliflim\)

The minimum is 29 cm and it represents the sensor's minimum height above the ground.

In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):

y = Acos(Bx - C) + D

Where:

By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.

In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The p-value of the test statistic will be equal to -1.5.

A statistic employed in statistical hypothesis testing is known as a test statistic. A hypothesis test is often defined in terms of a test statistic, which can be thought of as a numerical summary of a data set that distils the information into a single value that can be used to conduct the test.

The formula for test statistics:

Test statistic = z =

A sample of patients n = 160

Patients insured =x =80

P = x/n

P = 80/ 160

P = 1/2

P = 0.5

P₀ = 56/100

P₀ = 0.56

Putting the values we get:

\(Z =\dfrac{P-P_o}{\sqrt{\dfrac{P_o-(1-P_o)}{n}}}\)

\(Z =\dfrac{0.5-0.56}{\sqrt{\dfrac{0.56-(1-0.56)}{150}}}\)

Z=  -0.06/0.04

Z = - 1.5

Therefore, the p-value of the test statistic will be equal to -1.5.

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