What is the coefficient

The estimated probability of the occupation of firefighters is 0.62

A recent Harris Poll survey of 1010 U.S. adults selected at random showed that 627 consider the occupation of firefighter to have very great prestige. i.e. The sample size of U.S. adults : n= 1010

The number of U.S. adults consider the occupation of firefighter to have very great prestige: x= 627

Now we see, the probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige will be:

p = x/n

 = 627/ 1010 = 0.62 [ To the nearest hundredth]

        Therefore, the estimated probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige = 0.62

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Answer:

137°

Step-by-step explanation:

Total angle of a triangle:

a + b + c = 180°

35 + 8 + c = 180°

c = 180° - 43° = 137°

Answer:

9 and 29.

Let us denote the older brother’s age 4 years ago by x and the younger brother’s age 4 years ago by y

Their combined ages 4 years ago is 38–8 =30

So we have the equation x+y=30

We also know that x=y^2

X=25 and y=5 will satisfy that condition

So 4 years ago the older was 25 years old and the younger 5.

4 years later the older brother is 29 years old and the younger brother is 9

The approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent is 4.7%

The percentage of light remaining is calculated from the percentage of light remaining after a depth of one foot each.

Percentage of light remaining after 1 feet = 100 - 40% = 60%.

Percentage of light remaining after 6 feet = 60% × 60% × 60% × 60% × 60% × 60% = 4.7%

Therefore, the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent is 4.7%.

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Answer:

A or B

Step-by-step explanation:

The solution to the system of linear equations is (5, -4, 2, 1), which corresponds to option (a). This solution satisfies all four equations given in the system.

To obtain this solution, we can solve the system of equations using various methods such as substitution, elimination, or matrix operations. Here, we'll use the method of elimination to find the values of x, y, z, and w.

First, let's rewrite the system of equations:

Equation 1: x + y + z + w = 4

Equation 2: -2x - 5y + 3z + 3w = 19

Equation 3: -4x + 3z - 5w = -27

Equation 4: x + y - 2z - w = -3

To eliminate variables, we'll perform row operations on the augmented matrix representing the system. After applying the row operations, we obtain the following row-echelon form:

[ 1  0  0  0 | 5 ]

[ 0  1  0  0 |-4 ]

[ 0  0  1  0 | 2 ]

[ 0  0  0  1 | 1 ]

From this row-echelon form, we can read off the solution for x, y, z, and w. Therefore, the solution is x = 5, y = -4, z = 2, and w = 1.

In summary, the system of linear equations is solved by obtaining the values x = 5, y = -4, z = 2, and w = 1, which matches option (a). These values satisfy all four equations in the system, and they are derived by using the method of elimination on the augmented matrix of the system.

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The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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Answer:

guy above me is wrigth. If you have any doubts see the picture.

Step-by-step explanation:

Hope it helps and mark as brailiest pleasee

Answer:

  (5, 1)

Step-by-step explanation:

The vertex is the turning point on the graph. Its coordinates are read from the axes labels.

The term vertex is used in several different contexts. A vertex of a polygon is a point where edges meet. A vertex of a curve is an extreme value of the curve.

When applied to an ellipse, the vertices are the ends of the major axis. The ends of the minor axis are the co-vertices.

The vertex of a parabola is the extreme value of the parabola. When it opens downward, as here, the vertex is the point where the curve is at its maximum.

As with any point on any graph, the coordinates of the vertex are read from the labels of the axes. The horizontal coordinate is customarily listed first.

The vertex is (x, y) = (5, 1).

Answer:

Hopefully this can help

Step-by-step explanation:

Answer:

\(3x^{2} (x+5)(x-5)\)

Step-by-step explanation:

There are 84 different combinations that can be made when drawing 3 numbers from a set of 9 numbers without replacement.

The Combinations is used to calculate the number of ways you can select a certain number of items from a larger set, without regard to their order. In other words, combinations focus on the selection of items rather than their arrangement.

When drawing 3 numbers from a set of 9 numbers without replacement, the number of different combinations can be calculated using concept of combinations.

The total-number of items (n) =  9, and r is the number of items selected (3 in this case). Using this formula, the number of combinations is:

⁹C₃ = 9!/(3!(9-3)!) = 84,

Therefore, there are 84 different combinations.

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The given question is incomplete, the complete question is

If there is a bag with the numbers 1 to 9 in it and you draw out 3 numbers, without replacing them, how many different combinations can you make?

The cost per pound is less in the first one. Hence price -wise, the first deal is better.

The pound or pound-mass is the unit of mass used in common British, Imperial and American measurement systems. Various definitions are used; the most common today is the international pound, legally defined as 0.45359237 kilograms, divided into 16 pound ounces. The international standard symbol for the avoirdupois pound is lb; another symbol is lbm.

The kilogram  is a unit of mass in the International System of Units (SI) with the unit symbol kg. It is a unit of measurement widely used in science, engineering, and business around the world and is often abbreviated colloquially as kilogram. It means "kilogram".

kilograms are defined in terms of seconds and meters, both based on fundamental physical constants. This allows properly equipped metrology laboratories to calibrate mass-measuring instruments, such as Kibble balances, as the primary standard for determining exact masses in kilograms.

Given that:

1 pound of apples = 2.15

3 Pound of apple = 5.76.

From this we can say that the 3 pound of apple is a better deal than the first one.

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Answer:

KL = MN

Step-by-step explanation:

i got the question right on my test

The maximum number of items that could have been placed on each plate in this scenario can be determined by finding the greatest common divisor (GCD) of the total number of items and the number of plates.

Let's say the total number of items is represented by 'T' and the number of plates is represented by 'P'. To find the GCD, we can use the Euclidean algorithm.

1. Set 'a' as the larger of the two numbers (either T or P) and 'b' as the smaller.
2. Divide 'a' by 'b' and find the remainder 'r'.
3. Set 'a' as 'b' and 'b' as 'r'.
4. Repeat steps 2 and 3 until 'b' becomes zero.
5. The GCD is the value of 'a' at this point.

Once we have the GCD, we can use it to determine the maximum number of items on each plate.


The maximum number of items that could have been placed on each plate is the GCD of the total number of items and the number of plates.


For example, let's say there are 36 items and 6 plates. To find the GCD, we can use the Euclidean algorithm:

Step 1: Set 'a' as 36 and 'b' as 6.
Step 2: Divide 36 by 6 to get a remainder of 0.
Step 3: Since the remainder is 0, we stop and the GCD is 6.

So, in this case, the maximum number of items that could have been placed on each plate is 6.

The maximum number of items that could have been placed on each plate is the GCD of the total number of items and the number of plates. This ensures that each plate contains only one type of item and has the same number of items with no leftovers.

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According to the question, the sample proportion for both samples is 0.30 and 0.20. There is a 75.23% probability that the difference in sample proportions between the two populations is less than or equal to 0.02 based on the given samples.

(a) According to the question, the sample proportion for both samples can be calculated as follows:

For the first population:

Sample Proportion 1 = 0.30

For the second population:

Sample Proportion 2 = 0.20

Therefore, the sample proportion for both samples is 0.30 and 0.20.

(b) To find the probability that the difference in sample proportions is less than or equal to 0.02, we need to calculate the z-score and use the standard normal distribution table or a statistical software.

First, we calculate the standard error using the formula mentioned earlier:

\(\text{Standard Error} = \sqrt{\left(\frac{0.30 \cdot (1 - 0.30)}{200}\right) + \left(\frac{0.20 \cdot (1 - 0.20)}{200}\right)}\)

Substituting the values, we get:

Standard Error ≈ 0.0300

Next, we calculate the z-score using the formula:

\(z = \frac{{0.02 - 0}}{{0.0300}}\)

Calculating the z-score, we get:

z ≈ 0.6667

Now, we can use the standard normal distribution table or a statistical software to find the probability corresponding to the z-score. Let's assume the probability is denoted by P(Z ≤ 0.6667).

Using the table or software, we find that P(Z ≤ 0.6667) ≈ 0.7523.

Therefore, the probability that the difference in sample proportions is less than or equal to 0.02 is approximately 0.7523.

In conclusion, there is a 75.23% probability that the difference in sample proportions between the two populations is less than or equal to 0.02 based on the given samples.

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The slope and the y intercepts of the given graph which shows height of the candlesticks over time is :

Slope = -2/3

Y intercept = 9

The graph is that of the height of the candlesticks over time.

The line passes through two points (0, 9) and (3, 7).

Slope of the line can be calculated as,

Slope = (7 - 9) / (3 - 0) = -2/3

Hence the slope id negative two thirds.

y intercept of a graph is the y coordinate of the point where the line touches the Y axis.

The x coordinate will be 0 there.

The line passes through (0, 9).

So y intercept = 9

Hence the slope and the y intercept are -2/3 and 9 respectively.

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Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

we have the expression

the answer is

Answer:y=16

Step-by-step explanation:

Answer:pretty sure 1 is 23 and 2 is 211200

Step-by-step explanation:

1. 92/4 is 23

2. Just used a calculator on

Answer:

a seat-that u sit on when you are teird ummmm yeah have a nice dayyyy

Answer:

a) 11,880

b) 7,770

Step-by-step explanation:

The number of teachers that volunteer = 6 teachers

The number of students that volunteer = 12 students

The number of people in the committee = 5 people

a) The exact number of student on the committee = 3 student

Therefore, the number of teachers in the committee of 5 = 5 - 3 = 2

The number of teachers in the committee = 2 teachers

We get;

The number of committees that can be made = ₁₂C₃ × ₆C₂ = 792×15 = 11,880

b) When there is at least one teacher and at least one student on the committee, we have;

₁₂C₄ × ₆C₁ + ₁₂C₃ × ₆C₂ + ₁₂C₂ × ₆C₃ + ₁₂C₁ × ₆C₄ = 7,770

The number of committees having at least one teacher and at least one student = 7,770

The distribution of C) X+Y is a Poisson RV with parameter 9.

This is because the sum of two independent Poisson distributions with parameters λ1 and λ2 is also a Poisson distribution with parameter λ1 + λ2. Therefore, X+Y follows a Poisson distribution with parameter 4+5 = 9.

Option A is incorrect because an exponential distribution cannot arise from the sum of two Poisson distributions. Option B is also incorrect because the parameter of X+Y is not the average of the parameters of X and Y. Option C is the correct answer as explained above.

In summary, the distribution of X+Y is Poisson with parameter 9.

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Answer:

D

Step-by-step explanation:

out of the choices

A) 2x-y=-2

3x+2y=-10

B) x+4y=3

2x+5y=3

C) 2x+3y=5

x-4y=-14

D) 3x+4y=15

x+y=5

only the system in D has a solution of x=5 and y=0

solve by substitution x+y=5 so x=5-y

plug into the other equation so 3(5-y)+4y=15

distribute 15-3y+4y=15 then minus 15 on both sides and combine like terms

so y=0 then put that value back into the other equation

so x+y=5 equals x+0=5 so x=5 this means the solution to the system of equations is the point (5,0)

Hope this helps! :)

Answer:

Behold! Try using Desmos or something

#PlatoAccuracyMatters

#WhaddyaMeanPlatoLives?

Step-by-step explanation:

The functions and their matching properties are:

To do this, we start by plotting the graphs of the functions h(x), j(x) and g(x)

Next, we list out the properties from the graphs

From the graphs of the functions (see attachment), we have the following highlights:

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the graphing would be easier to use because it demonstrates the numbers that are in the situation

Answer:

a or c

Step-by-step explanation:

hope i helped sorry if not?! have a wonderful day! :)

The measure of the angle ∠Z is 38°.

We are given two triangles. The vertices of the first triangle are E, F, and G. The vertices of the second triangle are Y, X, and Z. The angle ∠F is congruent to the angle ∠X. The angle ∠E is congruent to the angle ∠Y. The measures of the angles ∠E and ∠X are 62° and 80°, respectively. We need to find the measure of the angle ∠Z. The measure of the angle ∠Y must be equal to the measure of the angle ∠E.

∠Y = ∠E = 62°

Now, in the triangle ΔYXZ, we will use the angle sum property. The sum of all the angles in a triangle is equal to 180°.

∠Y + ∠X + ∠Z = 180°

62° + 80° + ∠Z = 180°

∠Z = 180° - (62° + 80°) = 180° - 142° = 38°

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Answer:

It will take 1 hour and 24 minutes.

Step-by-step explanation:

Given that:

Eastbound train travels at a rate of 65 miles per hour and Westbound train travels at a rate of 85 miles per hour

So speed = 65 + 85 = 150 miles per hour

Total distance = 210 miles

We have to find the time, we know that

Distance = time * speed

OR

Time = distance / speed

Time = 210/150

Time = 1.4 hours

Or it can be written as:

Time = 1 hour 24 minutes

Hope this helped :D

Answer:

(-2,10)

Step-by-step explanation: