A fertiliser is produced by mixing water and pesticide in the ratio of 9:3. The final quantity of fertiliser is 48 litres. What is the quantity of water and pesticide that is needed?

By multiplying the individual probabilities of being a music student and being on the honor roll and then multiplying by the total on the honor roll, we find the expected number of music students on the honor roll to be 16.

To determine the expected number of music students who are also on the honor roll, we can use the concept of expected value in probability.

Assuming that being a music student and being on the honor roll are independent events, we can multiply the probability of a student being a music student by the probability of a student being on the honor roll.

The probability of randomly selecting a music student from the 300 students is the number of music students divided by the total number of students, P(Music) = 50/300.

The probability of a student being on the honor roll is P(Honor Roll) = 97/300. So, the expected number of music students on the honor roll would be the product of these two probabilities times the total number of students on the honor roll, which the school estimates to be 360.

The calculation: Expected number = [tex]P(Music) \(\times\) P(Honor Roll) \(\times\) Total Honor Roll = (50/300) \(\times\) (97/300) \(\times\)[/tex]

Answer:

The greatest length she can cut to have equal length in all the cables, without a left over is 3 feet each

Step-by-step explanation:

in order to solve this, we treat the length of each cable as separate numbers for which we find the highest common factor, since we are told that they must all be of the same length. The highest common factor of two whole numbers, is the highest number which completely divides both number without a remainder. The highest common factor is found as follows:

Factors of 12 are : 1, 2, 3, 4, 6, and 12

factors of 15 are : 1, 3, 5, and 15

from the above, the highest factor that is common to both numbers is 3.

Therefore, if both cables are cut into 3 feet each, , a total of 9 pieces of cables (4 from the 12 feet cable and 5 from the 15 feet cable) of equal length will be obtained without any remainder.

Answer:

3 feet

Step-by-step explanation:

To solve this problem the heed to find the factors of 15 and 12

Factors of both numbers

12 : 1,2,3,4,6,12

15: :1.3,5,15

Then we find the highest common factor between them which is 3, 3 is a factor of both 12 and 15

remainder. The highest common factor is found as follows:

So, if both cables are cut into 3 feet each, you should have a total of 9 piecesa total of 9 pieces of cables.

From the 12 feet long cable you should have 3 feet x 4 meaning 4 pieces

From the 15 fert long cable you should have 3 feet x5 meaning 5 pieces

4+5 makes it 9 pieces without any remainder

The three-dimensional object formed when the shape is rotated about the axis is a cone.

A cone is a solid which tapers from a circular base to a point. A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.

here, we have,

we know that,

When a right triangle is rotated about an axis, a cone is formed.

Find the attached figure to visualize the rotation.

Rotation of the base AB of the right triangle results in the circular base of the cone while rotation of hypotenuse AC results in the lateral surface of the cone.

Hence, The three-dimensional object is formed when the shape is rotated about the axis is a cone.

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Answer:

D

Step-by-step explanation:

Answer: x^2 (x + 11) - 3 (x + 11)

Answer:

Answer: x^2 (x + 11) - 3 (x + 11)

Step-by-step explanation:

Edge

Answer:

mean = 9.3

median = 10

mode =13

Step-by-step explanation:

First put the data in order from smallest to largest

1,1,7,9,9,10,11,13,13,13,15

The mean is the sum of all the numbers divide by how many numbers we have

(1+1+7+9+9+10+11+13+13+13+15)/11102/11=9.272727=9.3

median is the middle number

11/2 = 5.5

The sixth number is the median= 10

mode is most often  13 appears the most

The factor of the expression 12x³ – 9x² will be 3x² and (4x – 3).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ 12x³ – 9x²

Then the factor of the expression will be

⇒ 3x²(4x – 3)

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Answer:

b = y intercept

Step-by-step explanation:

y = mx +b

This is the slope intercept form of a line

The m is the slope and the b is the y intercept

Answer:

The mean is the balancing point of the swimmers' ages.

Step-by-step explanation:

I just took the I-Ready Quiz and got it correct. :D

The mean in mathematics refers to the average of a set of given numbers. Mean is commonly referred to as average.

Mean is the average number, which is calculated by the formula:

[tex]\rm mean = \dfrac{sum\; of\; all\; the\; given\; numbers}{\text{total observation}}[/tex]

For instance, the mean age of swimmers is 10, which means that the average age of all the swimmers is 10. The age of each swimmer can be near to 10, as 9, 10, 11, or 12.

Given the ages of swimmers are:

[tex]\text{mean} = \dfrac{10 + 10 + 11 + 9}{4}\\\text{mean} = \dfrac{40}{4}[/tex]

mean = 10

Thus, the mean of the given data is 10.

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Answer:

2) y = x + 2

3) slope: height increases by 1 unit per unit increase in x

Intercept: initial height (at birth) was 2 units

Step-by-step explanation:

Using (38,40) and (48,50)

Slope: (50-40)/(48-38)

= 10/10

= 1

y = mx + b

y = x + b

40 = 38 + b

b = 2

y = x + 2

Answer:

see below

Step-by-step explanation:

There are (60,61) and (20,23) are the points that I used to find the slope for the line of best fit

m= (y2-y1)/(x2-x1)

m = (23-61)/(20-60)

   = -38/-40

   = .95

We use the slope intercept form of the equation

y= mx+b

y = .95x+b

Substituting in the point (20,23)

23 = .95(20) +b

23 = 19+b

Subtracting 19 from each side

23-19 = 19+b-19

4 =b

The equation is

y =.95x+4

The slope is how much y changes for each change in x.  You did not tell us what the units of x and y are.

The y intercept is what the y value is when x is zero.  The y value  is 4 when x is zero

Answer:

uh my good sir whats your question we cant help if we dont know what the questions is.

Step-by-step explanation:

Answer:

It is 5.84 units away from the origin.

Step-by-step explanation:

[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2}} [/tex]

Therefore:

[tex]d = \sqrt{ {(5 - 0)}^{2} + {(3 - 0)}^{2} } \\ d = \sqrt{ {5}^{2} + {3}^{2} } = \sqrt{25 + 9} \\ d = \sqrt{34} = 5.83951...[/tex]

Final answer:

The distance from point E(5,3) to the origin is calculated using the Pythagorean theorem, resulting in \/34 units.

Explanation:

The question asks how far point E(5,3) is from the origin. To find the distance between a point and the origin in a Cartesian coordinate system, we use the Pythagorean theorem. Specifically, the distance ( extit{d}) can be calculated using the formula  extit{d} = \/((x_2 - x_1)² + (y_2 - y_1)²), where ( extit{x_1},  extit{y_1}) represents the coordinates of the first point (in this case, the origin (0,0)) and ( extit{x_2},  extit{y_2}) represents the coordinates of the second point (in this case, point E(5,3)).

Plugging in the values, we get  extit{d} = \/((5 - 0)² + (3 - 0)²) = \/(5² + 3²) = \/(25 + 9) = \/34. The exact distance between point E and the origin is \/34 units, which can also be approximated as a decimal if necessary.

Answer:

The answer is 22 centimeters.

Step-by-step explanation:

Answer:

22 centimeters squared

Step-by-step explanation:

trust me just did it on EDG

Answer:

$1.85

Step-by-step explanation:

$7.00 is the price of 1 gallon of apple cider

Step 1

The first step would be to find how many ounces make a gallon

And 1 gallon of apple cider juice = 128 ounces

Therefore,

$7.00 makes 128 ounces of apple cider juice

Step 2

The second step is to find how many ounces make 1 packet or package boxes

Eight 4.23 ounces juice boxes = 1 packet

Therefore, 8 × 4.23 ounces = 33.84 ounces.

Step 3

To find cost per eight 4.23 ounce boxes of cider which is the cost per 33.84 ounces,

We used the proportion below.

If 128 ounces = $7

33.84 ounces = Y( we call this y because it is unknown)

We cross multiply

128 ounces × Y = $7 × 33.84 ounces

Y =($7 × 33.84 ounces) ÷ 128 ounces

Y = $1.85

Therefore, 33.84 ounces which is would cost us $1.85.

Therefore, the cost is $1.85 per eight 4.23 ounce boxes of cider.

Answer:

b

Step-by-step explanation:

Answer: $29.10

Step-by-step explanation: 10.20 + 18.90 = $29.10

Answer:

- The price of a soccer ball is $14.5

- The price of a soccer bag is $5

Step-by-step explanation:

To solve this problem, we call:

s = the price of a single soccer ball

b = the price of a soccer bag

We have:

1) A soccer coach purchases 10 soccer balls and 2 soccers bags for $155: so we can write

[tex]10s+2b=155[/tex] (1)

2) Another scorer coach purchases 12 soccer balls and 3 soccer bags for $189: so we can write

[tex]12s+3b=189[/tex] (2)

So we have a system of two equations in two unknown variables:

[tex]10s+2b=155\\12s+3b=189[/tex]

We solve it by multiplying eq.(1) by 3 and eq(2) by 2, and we get:

[tex]30s+6b=465\\24s+6b=378[/tex]

Now we substract eq(2) from eq(1) and we get:

[tex]6s=87[/tex]

So

[tex]s=\frac{87}{6}=14.5[/tex]

And by using eq(1) we also find the value of b:

[tex]10s+2b=155\\b=\frac{155-10s}{2}=\frac{155-10(14.5)}{2}=5[/tex]

So:

- The price of a soccer ball is $14.5

- The price of a soccer bag is $5

To solve this problem, we can set up a system of equations and use the elimination method to find the values of x and y. The cost of a soccer ball is $14.5 and the cost of a soccer bag is $5.

To solve this problem, we can set up a system of equations. Let's use x to represent the cost of a soccer ball and y to represent the cost of a soccer bag.

From the first equation, we have 10x + 2y = 155. From the second equation, we have 12x + 3y = 189.

We can solve this system of equations using substitution or elimination method. I will use the elimination method.

Now we can substitute the value of x into one of the equations to find the value of y.

Therefore, the cost of a soccer ball is $14.5 and the cost of a soccer bag is $5.

Answer:

1

Step-by-step explanation:

To solve the equations, subtract the given number from the sum on the left side of the equation to find the missing number. For the arithmetic expression, perform the operations in order.

In the first equation, you must find a number that, when added to 9, equals 10. To do this, subtract 9 from 10, which gives you 1. Therefore, the missing number is 1.

In the second equation, you need to find a number that, when added to 1, equals 10. Subtract 1 from 10 to get 9. So, the missing number is 9.

In the last equation, you simply need to perform the arithmetic operations in order: 200 + 500 = 700, 700 + 2000 = 2700, and finally 2700 - 3000 = -300. Therefore, the result of the expression 200 + 500 + 2000 - 3000 is -300.

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Final answer:

The cartoon lasts 30 minutes, and the movie is six times longer, adding up to 210 minutes to watch both.

Explanation:

The subject at hand is the duration it takes to watch a cartoon and a movie. The cartoon lasts half an hour (30 minutes), while the movie is six times longer than the cartoon. To find the duration of the movie, we multiply its relative length by the duration of the cartoon. So, 6 times 30 minutes is 180 minutes. To calculate the total time to watch both the cartoon and the movie, we add the two durations together. Therefore, 30 minutes for the cartoon plus 180 minutes for the movie equals 210 minutes in total.

Answer:

  x-intercept(s): ( 4, 0)

  y-intercept(s): ( 0, -14)

Answer:

C.

invest in a joint insurance and retirement plans

Step-by-step explanation:

this would be the obvious answers because there no risks that would compromise their future

Answer:

1184.5

Step-by-step explanation:

150+400+180+300=1030

1030 × 15% = 154.5

(15% is also 0.15)

1030 + 154.5 = 1184.5

I hope this helps you :)

Answer:

it's linear because the line doesn't go through the origin

Step-by-step explanation:

i know that bc it says. +1

hope this helps!

Answer: B

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

[tex]Fx=\frac{5\pm\sqrt{25+24} }{6}[/tex]

Step-by-step explanation:

A quadratic equation in one variable given by the general expression:

[tex]ax^2+bx+c[/tex]

Where:

[tex]a\neq 0[/tex]

The roots of this equation can be found using the quadratic formula, which is given by:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

So:

[tex]y(x)=3x^2-5x-2=0[/tex]

As you can see, in this case:

[tex]a=3\\b=-5\\c=-2[/tex]

Using the quadratic formula:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}=\frac{-(-5)\pm\sqrt{(-5)^2-4(3)(-2)} }{2(3)}=\frac{5\pm\sqrt{25+24} }{6}[/tex]

Therefore, the answer is:

[tex]Fx=\frac{5\pm\sqrt{25+24} }{6}[/tex]

Answer:

1/2x units

Step-by-step explanation:

Answer:

1/2x units

Step-by-step explanation:

Answer:

a) 4d + 18

b) 38 inches

Step-by-step explanation:

a) The perimeter is simply the sum of all the exterior side lengths.

On the top, we've got d and d + 3.

On the left side, we have 2 and an unknown. However, we do know that this "unknown" + 2 will be the same length as the right side, which is 6. So, we have 2 + unknown = 6; hence, the unknown = 4.

The bottom is the same length as the top two lengths, so it's:

d + (d + 3) = 2d + 3

And, the right side is 6.

Adding these together, we have:

d + (d + 3) + 2 + 4 + d + (d + 3) + 6 = 4d + 18

b) We just need to substitute 5 in for d:

4d + 18

4 * 5 + 18 = 20 + 18 = 38 inches

AnswerAnswer:

a) 4d + 18

b) 38 inches

Step-by-step explanation:

a) The perimeter is simply the sum of all the exterior side lengths.

On the top, we've got d and d + 3.

On the left side, we have 2 and an unknown. However, we do know that this "unknown" + 2 will be the same length as the right side, which is 6. So, we have 2 + unknown = 6; hence, the unknown = 4.

The bottom is the same length as the top two lengths, so it's:

d + (d + 3) = 2d + 3

And, the right side is 6.

Adding these together, we have:

d + (d + 3) + 2 + 4 + d + (d + 3) + 6 = 4d + 18

b) We just need to substitute 5 in for d:

4d + 18

4 * 5 + 18 = 20 + 18 = 38 inches

Step-by-step explanation:

Answer:

neap tide

Step-by-step explanation:

Answer:neap tide is the correct one

Step-by-step explanation: