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The mean of all ninth grader's scores in the city is 80.32

From the question, we are to determine the mean score for all ninth graders in the city

From the given information,

Mariner High school

Mean score is 75 and the frequency is 265

Everett High school

Mean score is 90 and the frequency is 326

Jackson High school

Mean score is 69 and the frequency is 154

Thus,

The mean score for all ninth graders

= (265×75 + 326×90 + 154×69)/ (265 + 326 + 154)

= (19875 + 29340 + 10626)/745

= 59841/745

= 80.32

Hence, the mean is 80.32

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The conjecture of the pattern - 3, 6, - 9, 12 is all the set of series generated by the expression s = (- 1)ⁿ · 3 · n.

In this problem we have a sequence with a pattern, which has to be translated into mathematical expressions. We notice two features of this sequence:

Then, the pattern can be generated by using the following expression:

s = (- 1)ⁿ · 3 · n

Now we check if the pattern is the same as the shown in the question:

n = 1

s = (- 1)¹ · 3 · 1

s = - 3

n = 2

s = (- 1)² · 3 · 2

s = 6

n = 3

s = (- 1)³ · 3 · 3

s = - 9

n = 4

s = (- 1)⁴ · 3 · 4

s = 12

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The order of the number from least to greatest is 1.30, 1.301, 1393, 1.43, 1.45, 1.47.

Decimal is used to denote integers and non-integers. The integers are separated by non-integers using a decimal point. An example of a decimal is 1.393.

The place value of 1.393 is

The further away a number is from zero on the number line, the higher the value of the number.

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Answer:

b = 8 , m = - 5

Step-by-step explanation:

For this question we can use simulteanous equations to solve for m and b.

We first come up with 2 equations.

Given the first condition:

23 = -3m + b

b - 3m = 23 (Equation 1)

Now the Second Condition:

-7 = 2m + b

b + 2m = -7 (Equation 2)

Now, we will use Equation 1 - Equation 2 to eliminate b to solve for m.

-3m - (+2m) = 23 - ( - 7)

- 5m = 30

m = 30 ÷ -6 = -5

Now we substitute m into Equation 1 to solve for b.

b - 3(- 5) = 23

b + 15 = 23

b = 23 - 15 = 8

Answer: m=-6    b=5

Step-by-step explanation:

f(x)=mx+b

f(-3)=23     f(2)=7

[tex]\displaystyle\\\left \{ {{23=(m)(-3)+b} \atop {-7=(m)(2)+b}} \right. \ \ \ \ \left \{ {{23=-3m+b\ \ \ \ (1)} \atop {-7=2m+b\ \ \ \ (2)}} \right.[/tex]

Subtract equation (2) from equation (1):

-30=5m

Divide both parts of the equation by 5:

-6=m

Thus, substitute m=-6 in (2):

-7=(-6)(2)+b

-7=-12+b

-7+12=-12+b+12

5=b

Hence,

y=-6x+5

Answer: Less than

Step-by-step explanation:

The symbols || indicate absolute value.

Absolute value changes a number into it's distance from 0 on the number line.  As such, |27| = 27, but |-9| = 9.

Thus, |-5| = 5, and 5 > -5

|-5| > -5

Hope it helps

Answer:

Less than

Step-by-step explanation:

-5 is negetive 5 and |−5| means "positive 5", or just 5

Hi could u ask the question a bit clearer?

Answer:46.08

Step-by-step explanation the only thing you has to do was multiply  your keyword was per  I hope this helps

The required number of general admissions is 76 and the number of admission with student id is 108.

Here,
let the number of general admissions be x and the number of the admission with student id be y
Using arithmetic operations
According to the question,
x + y = 184  
x = 184 - y  - - -  -(1)
5x + 4y = 812  - - - - (2)
From equation (1)
5 (184 - y) + 4y = 812
920 - 5y + 4y = 812
-y = 812 - 920
-y = 108
y = 108
Put y in equation 1
x = 184 - 108
x = 76

Thus, the required number of general admission is 76, and the number of admission with student id is 108.

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Answer:

Step-by-step explanation:

So you start out with this equation

6(x+1)+5=13-2+6x

you simplify it down to get

6x+11=6x+11 if they are the same then there fore you answer is

Infinite solutions

The points does the graph of the function below intersect the x-axis equation is= y = 4x²-9x+9 is  C) - 0

because this equation does not have any x intercept

Y = 4x² -9x +9 is a quadratic equation

To know at what point this equation intersect x axis we have to put the value of y= 0

Y = 4x²2 -9x +9

0 = 4x² -9x + 9

4x²-9x+9=0

This equation can be solved using quadratic formula

We need to find the value of discriminant

D= √(b²-4ac)

D=√((-9)²-4(4)(9))

D= √(81-144)

D=√(-63)

As the value of discriminate is not a real number so reel roots does not exit and hence this equation does not have any x intercept

Hence, option c is correct because this equation does not have any x intercept

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Answer: 3.14

Step-by-step explanation:

Use the algorithm method.

3 . 1 4

6 0 | 1 8 8 . 4

1 8 0 .  

8 . 4

6 . 0

2 . 4 0

2 . 4 0

2 Therefore, 188.4\div 60=3.14188.4÷60=3.14.

3.14

The value of the expression 3(4) can be expressed as 12 with the help of a title diagram or a number line and the explanation for this same can be done easily if we take into consideration a number line.

A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics. It can also be assumed that every point present on a number line corresponds to a real number, and that every real number also corresponds to a point.

To solve this expression, we can deduce as follows:

As per the number line, for the expression 3(4).

Since it is absolutely positive, thus we will get the final answer in positive that means on the side of the number line lying right to zero.

To express this expression,

3 (4) means we have to move towards the right side of the number line from zero for 4 times and each time covering a total of 3 units each.

Thus, we start from zero, first time we reach 3 then 6, then 9 and then finally 12.

Thus, the value of the expression is received as 12.

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Answer: 11

Step-by-step explanation:

the answer is 11 all it is asking for is finding the mode which simply means the highest group of repeated numbers

The mode of the frequency distribution based on the table is age 11 with 12 students.

Mode can be defined as the most occurring value in a statistical distribution. It is also the most repeated number.

According to the table given;

Age 9 = 3 students

Age 10 = 10 students

Age 11 = 12 students

Age 12 = 1 students

Based on this information, the age with the most number of students is age 11.

Therefore, the mode is 11

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Answer:

B: 18

Step-by-step explanation:

3 t for every 5 c

30/5 = 6, 6 groups of 5

6 x 3 (3 for every 5 cups, but x by the 6 groups)

6 x 3 = 18.

The solution to the given equation 19= y/5 + 16 is y = 15.

Given the equation in the question;

First reorder the equation by moving all terms not containing y to the right side of the equation.

19 = y/5 + 16

19 - 16 = y/5

y/5 = 19 - 16

Subtract 16 from 19

y/5 = 19 - 16

y/5 = 3

Multiply both sides of the equation by 5

5( y/5 ) = 3 × 5

5y/5 = 15

y = 15

Therefore, the solution to the given equation 19= y/5 + 16 is y = 15.

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The area that would be painted will be 144 square feet

From the question, we are to determine the area of the cube-shaped shed that was painted

From the given information,

The cube-shaped shed has 6-foot high walls

From the formula for the surface area of a cube,

Surface area = 6s²

Where s is the measurement of a side

A cube has six sides

Since, the floor and ceiling are not painted,

The area of the shed that was painted will be

Surface area painted = 4s²

s = 6 feet

Thus,

Surface area painted = 4 × 6²

Surface area painted = 4 × 36
Surface area painted = 144 square feet

Hence, the area that would be painted will be 144 square feet  

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Answer:

-7390

Step-by-step explanation:

Parenthesis

Exponents

Multiply

Divide

Addition

Subtraction

5-2x924x4-3

First do multiplication or division what ever comes first and then addition or subtraction what ever comes first from left to right.

5-1848x4-3

5-7392-3

-7390

Answer:

D. 20 inches

Step-by-step explanation:

Area = length * width

20 * 20 = 400 square inches

20 inches

Answer:

I dont understand it bc the pic is blurry

Step-by-step explanation:

Please mark Branliest

Rearranging the equation to solve for the variables gives;

v = d - at^2/t

a = 2d - 2vt/t^2

Given the equation;

d = vt + 1/2 at^2

Let's solve for v

First, collect like terms

vt = d - 1/2 at^2

Now, divide both sides by the coefficient of v which is 't', we have;

vt/t = d - at^2/t

v =

[tex] \frac{d - a {t}^{2} }{t} [/tex]

Let's solve for a

d - vt = at^2/2

cross multiply

2( d - vt) = at^2

expand the bracket

2d - 2vt = at^2

divide both sides by the coefficient of a which is t^2, we have;

2d - 2vt /t^2 = a

a = 2d - 2vt/t^2

Thus, rearranging the equation to solve for the variables gives v = d - at^2/t and a = 2d - 2vt/t^2 respectively.

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1st and 5th tables represent the same function

To find the two equal functions we will formulate their equations, using the formula [tex]\frac{y-y1}{x-x1} = \frac{y2-y1}{x2-x1}[/tex] where (x1,y1) and (x2,y2) are the endpoints of the equation.

Now finding the equation for each table we get:

Table 1:

(x1,y1) = (4,8) and (x2, y2) = (6,7)

Putting this in the formula we get:

= [tex]\frac{y-8}{x-4} = \frac{7-8}{6-4}[/tex]

So, the equation will be x + 2y = 20

Table 2:

(x1,y1) = (4,5) and (x2, y2) = (6,4)

Putting this in the formula we get:

= [tex]\frac{y-5}{x-4} = \frac{4-5}{6-4}[/tex]

So, the equation will be x + 2y = 14

Table 3:

(x1,y1) = (2,8) and (x2, y2) = (8,5)

Putting this in the formula we get:

= [tex]\frac{y-8}{x-2}=\frac{5-8}{8-2}[/tex]

So, the equation will be x+2y=18

Table 4:

(x1,y1) = (2,10) and (x2, y2) = (6,14)

Putting this in the formula we get:

= [tex]\frac{y-10}{x-2} =\frac{14-10}{6-2}[/tex]

So, the equation will be x-y=-8

Table 5:

(x1,y1) = (2,9) and (x2, y2) = (8,6)

Putting this in the formula we get:

= [tex]\frac{y-9}{x-2}=\frac{6-9}{8-2}[/tex]

So, the equation will be x+2y=20

Hence, table 1 and table 5 represent the same function

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Answer:

The value of w = 4/5

Step-by-step explanation:

=> -4/5w = -1

=> -4 = -5w

=> 4 = 5w

=> w = 4/5

Answer:

5/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

If you do a ratio, 18 blue cars to 24 total cars, that would be 18:24. If you simplify that, then you would be left with 3:4. So for every 4 cars, 3 are blue. So 3/4 of the cars in the parking lot are blue.

The velocity of the car at t = 2 seconds is 0 ft/second.

We know that the position equation (in feet) of the race car is:

s(t) = t^2 - 4t + 4

To get the velocity equation we need to find the first derivative of the position equation, we will get:

v(t) = 2t - 4

Now we just need to evaluate this in t = 2 seconds, we will get:

v(2) = 2*2 - 4 = 4 - 4 = 0

The velocity of the car at t = 2 seconds is 0 ft/second.

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The equation of the line perpendicular to y = 2x + 2 and passes through (4, 3) is y = - 1 / 2 x + 5

The equation of the line is perpendicular to y = 2x + 2 and passing through the points (4, 3).

Perpendicular lines follows the principle below:

m₁ m₂ = -1

where

Therefore,

2m₂ = -1

m₂ = - 1 / 2

Let's find the y-intercept of the line using (4, 3).

y = - 1 / 2 x + b

3 = - 1 / 2 (4) + b

3 = - 2 + b

b = 3 + 2

b = 5

Therefore, the equation of the line perpendicular to y = 2x + 2 and passes through (4, 3) is y = - 1 / 2 x + 5

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The measure of the ∠6 which is interior to 144° measures 36°

An equation is an expression that shows the relationship between two or more numbers and variables.

An angle is formed at a point where two or more lines intersect. We have acute angles, right angle and obtuse angle depending on the angle measure.

From the diagram:

∠6 + 144 = 180° (interior angles are supplementary)

∠6 = 36°

The measure of the ∠6 which is interior to 144° measures 36°

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Answer:

6.23376623 gallons

Step-by-step explanation:

5×2 is 10

6×2 is 12

10x12x12 is 1440 inches

1440/231 is 6.23376623 gallons

round if you need to

In linear equation the number of Republicans  are 225  and the number of Democrats are 259 .

What in mathematics is a linear equation?

Let Republicans  = x

then Democrats = x + 34

x + x + 34 = 484

2x + 34 = 484

2x = 484 - 34

2x =   450

 x = 450/2

  x  = 225

x + 34  =  225 + 34  ⇒  259

Therefore ,the number of Republicans  are 225  and the number of Democrats are 259 .

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