Find the area of the polygon: Hint: Area = (Length)(Width)
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Answer:

→ Compare the 2 grade A's

School B's is higher

→ Compare the 2 grade B's

School B's is higher

→ Now formulate a brief response

School B has more entrants in the exam and therefore has a higher proportion of students achieving top grades

The 99% confidence interval will be (71.76, 78.23), (55.27, 56.73), and (38.71, 41.29).

The test statistic for 99% confidence interval is 2.58. Therefore, the 99% confidence interval when x = 75, s = 10, and n =64 will be:

= [75 - (10 × 2.58)/✓64, 75 + (10 × 2.58)/✓64,]

= 71.76, 78.23

The 99% confidence interval when x = 56,5 = 2, and n= 50 will be:

= [56 - (2 × 2.58/✓50), 56 + (2 × 2.58/✓50)]

= 55.27, 56.73

The 99% confidence interval when x = 40, s = 3, and n = 36 will be:

= [40 - (3 × 2.58)/✓36, 40 + (3 × 2.58)/✓36]

= 38.71, 41.29

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Check the picture below.

so the volume is really just the product of the trapezoidal face and the length, and we know is 464.75 ft³.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=5\\ b=8\\ a=5 \end{cases}\implies A=\cfrac{5(5+8)}{2}\implies A=\cfrac{65}{2}~ft^2 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\large volume of the prism}}{\stackrel{\textit{area of trapezoid}}{\left( \cfrac{65}{2} \right)} \stackrel{length}{(x)}}~~ = ~~464.75\implies \cfrac{65x}{2}=464.75 \\\\\\ 65x=(2)464.75\implies x=\cfrac{(2)464.75}{65}\implies x=14.3[/tex]

Answer:

200

Step-by-step explanation:

main steps in solving algebraic equations are number one we tie the up the equation. So basically expand any brackets or divide out any fractions.

Answer:

Step-by-step explanation:

Log Rules

Givens

1/2 log (x)

log (x)^(1/2)

2 log(2y)

log(2y)^2

log(2^2y^2)

log(4y^2)

3 log(z)

log(z^3)

Solution

log(x)^(1/2) * log(z^3) / log(4 y^2)

Answer: log(x^1/2)*(z^3)/(4y^2)

Answer:

the answer is B

Step-by-step explanation:

Answer:

inactivity fee

Step-by-step explanation:

Answer:

3/100

Step-by-step explanation:

3 students out of 10 were chosen  and the fourth heaviest is 1/10

3/10 * 1/10 = 3/100

Answer:

C, those who vote FOR the Ballet Measure tend to be from District 2.

Step-by-step explanation:

Look carefully, read the questions! Okay! Cya!

Those who vote for the ballot measure tend to be from District 2. The correct option is C.

To calculate the relative frequency, we need to divide each cell value by the total number of people who voted. This will give us the proportion of people in each category.

District 1:

For: 13/75 ≈ 0.1733

Against: 12/75 ≈ 0.16

District 2:

For: 15/75 ≈ 0.2

Against: 10/75 ≈ 0.1333

District 3:

For: 9/75 ≈ 0.12

Against: 16/75 ≈ 0.2133

Based on the relative frequencies, we can see that the highest proportion of people who voted for the ballot measure is from District 2 (0.2),

While the highest proportion of people who voted against the ballot measure is from District 3 (0.2133). Therefore, the association that the two-way table suggests is:

The correct option is C.

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Answer: g, e

e. (-6,-5)

g. (-4,-4)

Step-by-step explanation:

    While we could plug in each value of data points to see if it solves correctly, a quicker way to solve this problem is to graph.

    The points that are a solution to the set are points in the area of overlap created by the two equations graphed. Points that are on a line in the overlap, but not over, are not a solution because the equations do not include "equal to."

   See attached for the graph.

The solution set of y < 1/2x - 1 and y > 2x + 3 are their true values

The solution set of the system of linear inequalities are (-6,-5) and (-4,-4)

The system of linear inequality is given as:

y < 1/2x - 1

y > 2x + 3

Start by plotting the graph of both inequalities

Because both inequalities do not have any form of equation i.e. ≤ and ≥, then only the points in the shaded area represents the solution set of the inequality.

The points in the shaded area are (-6,-5) and (-4,-4)

Other points are either outside the shaded area or on the line of the inequalities

Hence, the solution set of the system of linear inequalities are (-6,-5) and (-4,-4)

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[tex]3 {x}^{5} + 2 {x}^{3} + x + {x}^{2} - 2x + 5 = [/tex]

[tex]3 {x}^{5} + 2 {x}^{3} + {x}^{2} - x + 5[/tex]

Answer:

3x⁵ + 2x³ + x² -x + 5

Step-by-step explanation:

(3x⁵ + 2x³ + x) - (-x² + 2x - 5) <== multiply to remove the parenthesis

1(3x⁵ + 2x³ + x) - 1(-x² + 2x - 5)

1(3x⁵) + 1(2x³) + 1(x) + -1(-x²) + -1(2x) + -1(-5) <== remember multiplying 2 negatives, makes a positive

3x⁵ + 2x³ + x + x² - 2x + 5 <== combine any like terms

3x⁵ + 2x³ + x² -x + 5 <== make sure that your answer is in Standard form (in decreasing degrees)

Hope this helps!

Answer:

4x-1<11

4x<11+1

4x<12

x<12/4

x<3

Answer: (A) 11,-2/5

Step-by-step explanation:

when we solve the equation we get x=10 -5/2y and  3 x- 10 y = 37

then we substitute the value of "x"  3 (10-5/2y)- 10y=37

then we substitute the value oh "y" y= -2/5

solution

(x,y) = (11, -2/5)

Answer:

See diagram below

Step-by-step explanation:

arctan (angle ) = 18 / (6 sqrt3)  = 60 degrees

Step-by-step explanation:

height of pole = 18m = p

length of shadow = 6[tex]\sqrt{3}[/tex] m = b

now,

tan α = p/b

        = 18/6[tex]\sqrt{3}[/tex]

        = [tex]\sqrt{3}[/tex]

or, tan α = tan 60

           α = 60

Therefore angle of elevation of the sun is 60.  

Answer:

15 days

Step-by-step explanation:

Since there are 5 cups and she eats it 1/3 times a day if you think about it, its like 5 times 3.

Answer:

the system of equations 25-x=-4y and 3x-2y=30

Step-by-step explanation:

the system of equations 25-x=-4y and 3x-2y=30

Answer:

(7, -9/2)

x=7

y=-9/2

Step-by-step explanation:

1. x=25+4y

2. 3x-2y=30

substitute 1 in 2

3. 75+12y-2y=30

simplify

10y=-45

y=-9/2

substitute y in to the second equation 3x-2y=30

3x+9=30

3x=21

x=7

Answer:

871.9 feet,

Step-by-step explanation:

tan 54 = 1200/ x   where x is the distance you have to walk.

x = 1200 / tan54

= 871.85

Answer:

4 almsot 5. The exact answer is 4.90196078431

Step-by-step explanation:

each photo cost $4.08 with shipping. 20 dvided by 4.08 is 4.90196078431. But since you cant order 0.9 of a photo Lila can order only 4.

Answer:

C. 108.5 square feet

Step-by-step explanation:

Area of the deck

Answer:

6

Step-by-step explanation:

These are similar triangles, which means the side lengths are proportional!

30:5=6, so there is a scale factor of six.

36/6 is six!

Answer:

PR = 6

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{AC}{PR}[/tex] = [tex]\frac{BC}{QR}[/tex] ( substitute values )

[tex]\frac{36}{PR}[/tex] = [tex]\frac{48}{8}[/tex] = 6 ( multiply both sides by PR )

6 PR = 36 ( divide both sides by 6 )

PR = 6

Answer:

19.51% or 8/41

Step-by-step explanation:

for the percentage i did :

82 divided by 100, multiplied by 16.

For the fraction:

original number(16/82) divided by 2

Answer:

Graph-d

Step-by-step explanation:

We are given that,Each month, Alex’s cellphone plan costs $15 and additional 0.10 per minute of use. The equation that would represent Alex's total monthly costs would be linear equation (equation of a line). Linear equation has the following form:

[tex]y = mx + b[/tex]

in this case,

Since Alex’s cellphone plan initially costs $15, b would be 15 . Again he has to pay an additional cost of $0.10 per minute of use. hence, m would be 0.10 or ⅒ . Therefore our equation of line is

In conclusion

Graph d represents Alex’s total monthly cost

At a basketball game, a vendor sold a combined total of 197 sodas and hot dogs. The number of hot dogs sold was 41 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold .

We have to solve this question by making equation and after creating equations we have to solve them properly to get the final answer .

According to question we know that combined total of sodas and hot dogs is :

Therefore , No. of sodas sold is 119 .

Now , Hot dogs :

Therefore , No. of hot dogs sold is 78 .

We know that their combined sum is equal to 197 . So ,

Therefore , our answer is valid .

Answer:

1. 18?, 2. 10?, 3. 16?, 4. 36?, 5. 10?, 6. 18?.

Step-by-step explanation:

I'm not sure though your picture was not clear enough and I have quite bad eyesight.

the probability.

P(5 or 10 or 11 or 12)

= P(5)+P(10)+P(11)+P(12)

= 4/36+3/36+2/36+1/36

= 10/36

= 5/18

so, the correct answer is option C) 5/18.

length= 9.1m

area= 473.2m^2

Substitute values for length (l) and breadth (b) into the perimeter formula.

473/9.1=52

perimeter of rectangle= l+l+b+b

=52+52+9.1+9.1

P=122.2m

Answer:

9 x 8/2 = 36  l     36 x 9 = Volume

Step-by-step explanation:

we know base is a triangle to to find volume is area of the base times the height and on the right side of the figure, (look at photo) the height is 9 so just do 36 times 9 to get the volume.

hope this helps :D have a good night!

Answer:

(2y)(7x-1)(2x+3)

Step-by-step explanation:

first, all the terms have a 2 and a y in common. you can take that out of every term. then i just used the quadratic x factor method, you can find out what it is via the internet, its the fastest option to factor if possible :)

Answer:

[tex]=2y (7x-1) (2x+3)[/tex]

Step-by-step explanation:

[tex]28x^{2}y + 38xy - 6y[/tex]

[tex]=2y(14x^{2} +19-3)[/tex]

[tex]=(7x-1) (2x+3)[/tex]

[tex]=2y(7x-1) (2x+3)[/tex]

Answer:

x=3
y=12

Step-by-step explanation:

The scale factor is 1:4

we divide 12 by 4 to get 3

if we multiply 3 by 4 it is 12 so y=12

Answer:

161° and 19°

Step-by-step explanation:

supplementary angles =180

(142+x)+(x)=180

142+2x=180

2x=180-142

2x=38

x=19

142+19=161

Answer:

3.26

Step-by-step explanation:

33.5/3.14 = 10.66 ( when rounded to the nearest tenth).

10.66 square rooted is 3.26

The required radius of the sphere is 2 inch.

Volume of sphere = 33.5 cubic inches . Radius of sphere to be determine.

Volume, is defined as mass gained per unit cube of density.

Here, area of sphere = [tex]4/3\pi r^3[/tex]

                         33.5 = 4/3 πr³
                              r³ = 33.5 * 3/4π
                              r  = 2

Thus, the required radius of the sphere is 2 inch.

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