Miriam’s study group received test scores of 96, 81, 82, 99, 94, 92, 95, 82, and 80. find the mean and median scores. the mean is . the median is .

The height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.

The situation forms a right angle triangle.

A right angle triangle has one of its angles as 90 degrees. The sides can be found using trigonometric ratios.

Therefore, the hypotenuse of the right triangle formed is the length of the fiberboard.

The height of the ramp formed is the opposite side of the right triangle.

Hence,

sin 19° = opposite / hypotenuse

sin 19° = h / 27

cross multiply

h = 27 × sin 19°

h = 27 × 0.32556815445

h = 8.79034017034

h = 8.79 inches.

Therefore, the height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.

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Answer:

8.79 inches

Step-by-step explanation:

Answer:

4805.38

Step-by-step explanation:

982×5.47=5371.54

598×78=46,644

5371.54-46644=4805.10

4805.10+28=4805.38

The length of the radius of the circle with a central angle measuring 7pi/6 is 4.9cm

The formula for calculating the legnth of an arc is expressed as:

L = rtheta

r is the radius

Theta is the subtended angle

Given the following

18 = r(7pi/6)
7pi r = 18 * 6

7pi r = 108
r = 108/7pi

r = 4.9cm

Hence the length of the radius of the circle with a central angle measuring 7pi/6 is 4.9cm

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Answer:

B or 4.9cm

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

SohCahToa

Sin opposite/hypotenuse

Cos adjacent/hypotenuse

Tan opposite/adjacent

so if sin is 1/3 the opposite is 1 and the hypotenuse is 3

to find cos do a^2+b^2=c^2

1^2 + x^2 = 3^2

1+x^2=9

subtract 1 from both sides

x^2=8

do the square root x=2 sq root 2

that leaves u with

opposite is 1

hypotenuse is 3

adjacent is 2 sq rt 2

cos= 2 sqrt 2 / 3

tan= 1 / 2 sq rt 2 which is also eqal to sq rt 2 / 4

B

Answer:

x = 12

Step-by-step explanation:

Let's find the measure of major arc MNB:

360 - arc MB = major arc MNB

Now, let's plug in what we know:

360 - (80 + 60) = major arc MNB

Next, combine like terms, and replace "major arc MNB" with "x."

360 - 140 = x

220 = x

Now, we know that the measure of major arc MNB equals 220 degrees.

Angle MLB is going to be double the measure of major arc MNB, so let's set up an equation for this situation:

2(Angle MLB) = major arc MNB

Now, let's plug in what we know:

2(9x + 2) = 220

Finally, let's solve for x:

18x + 4 = 220

18x = 216

x = 12

Answer:

D. 5/3

Step-by-step explanation:

[tex]\frac{1/6+1/2+1/3+x}{4} =2/3[/tex]

[tex]1/6+1/2+1/3+x=8/3[/tex]

[tex]x=8/3-1/6-1/2-1/3[/tex]

[tex]x=8/3-1/6-3/6-2/6[/tex]

[tex]x=8/3-6/6[/tex]

[tex]x=16/6-6/6=10/6[/tex]

simplified

[tex]x=5/3[/tex]

Hope this helps

Hillsdale Orchard's owners decide to plant 30 new Gala apple trees, he needs to pllat 40 new fuji trees so as to maintain the same ratio of Fuji apple trees to Gala apple trees.

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

From the table:

Ratio of Fuji apple trees to Gala apple trees = 160 / 120 = 4/3

Hence, for 30 new galla trees, number of Fuji trees is:

Fuji trees = (4/3) * 30 = 40

Hillsdale Orchard's owners decide to plant 30 new Gala apple trees, he needs to pllat 40 new fuji trees so as to maintain the same ratio of Fuji apple trees to Gala apple trees.

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Answer:

12/13

Step-by-step explanation:

We know that cosine is the adjacent side divided by the hypotenuse in a right triangle.

The adjacent side to angle C is BC

The hypotenuse is AC because it is opposite to the right angle

So...

cosine is (BC)/(AC)

36/39

12/13

Answer:

6

Step-by-step explanation:

3 3/4  = 15 / 4     =   105 / 28

2 7/28 = 63/28

105/68  +  63/28   =   (105 + 63) / 28 = 168/28 = 6

[tex]3 \frac{3}{4 } + 2 \frac{7}{28} [/tex]

the simplest form.

[tex] \frac{15}{4} + \frac{9}{4} [/tex]

[tex] = \frac{(15 \times 4) + (9 \times 4)}{4 \times 4} [/tex]

[tex] = \frac{60 + 36}{16} [/tex]

[tex] = \frac{96}{16} [/tex]

[tex] = 6[/tex]

therefore the correct answer is option C.

Answer:

6

Step-by-step explanation:

140+8X=50+23X

8X-23X=50-140

-15X=-90

X=-90/-15

X=6 TRIPS IS THE ANSWER.

PROOF:

140+8*6=50+23*6

140+48=50+138

188=188

Answer:

(0, - 6)

Step-by-step explanation:

Midpoint Formula

Solving

Answer:

The midpoint is (0, -6)

Step-by-step explanation:

Step 1:  Determine the midpoint

[tex]midpoint = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]

[tex]midpoint = (\frac{-3 + 3}{2}, \frac{-7 + (-5)}{2})[/tex]

[tex]midpoint = (\frac{0}{2}, \frac{-7 -5}{2})[/tex]

[tex]midpoint = (0, \frac{-12}{2})[/tex]

[tex]midpoint = (0, -6)[/tex]

Answer: The midpoint is (0, -6)

Answer:

$ 22.38

Step-by-step explanation:

If the pre-sale price is $ 55.95

 40 % of this would be  .4 * 55.95 =  $ 22.38

Answer:

[tex]4x^2+6x-3[/tex]

Step-by-step explanation:

"/" substitutes the normal division symbol

                  [tex]4x^2[/tex] [tex]+6x[/tex] [tex]-3[/tex]

         ______________

[tex]x-2/4x^3-2x^2-15x+6[/tex]

         [tex]4x^3[/tex] [tex]-8x^2[/tex]

______________________

                 [tex]6x^2[/tex]  [tex]-12x[/tex]

______________________

                         [tex]-3x+6[/tex]

x multiplied by what equals [tex]4x^3[/tex]? [tex]x(4x^2)=4x^3[/tex], so the first number that goes on top is [tex]4x^2[/tex]. Multiply x by [tex]4x^2[/tex] and put it below to the [tex]4x^3[/tex] on the first row. Multiply x-2 by [tex]4x^2[/tex] and put it below  the [tex]-2x^2[/tex] . Subtract the first row from the second row.

x multiplied by what equals [tex]6x^2[/tex]? [tex]6x[/tex]. Repeat the same process as before except with [tex]6x^2[/tex]

Answer:

p=1000

t=5 years

r=10%

i=(ptr)/100

i=(1000×5×10)/100

i=50000/100

i=500

Answer:

46%

Step-by-step explanation:

184/400=vanilla

184/400=46/100=46%

hope this helps

Answer:

40 degrees

Step-by-step explanation:

if the lines are perpendicular, then they are also sharing the same line so that means, its a simple equation of 180-140=40.

Answer:

The value of angle 2 = 40°

Step-by-step explanation:

Given : angle 1 = 140°

angle 1 + angle 2 = 180° { because they are linear pair }

=> 140 + angle 2 = 180°

=> angle 2 = 180 - 140

=> angle 2 = 40°

Answer: 40%

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]

[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex]

[tex] \textsf{Since the common difference is same, } [/tex] [tex] \textsf{we can infer that it's an Arithmetic progression} [/tex] [tex] \textsf{with common difference of } \sf \dfrac{1}{3} [/tex]

Answer:

Arithmetic with common difference of [tex]\sf \frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\textsf{Given sequence}=4, \dfrac{13}{3}, \dfrac{14}{3}, 5, \dfrac{16}{3},...[/tex]

If a sequence is arithmetic, the difference between consecutive terms is the same (this is called the common difference).

If a sequence is geometric, the ratio between consecutive terms is the same (this is called the common ratio).

[tex]\sf 4\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad\dfrac{13}{3}\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad \dfrac{14}{3}\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad 5\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad \dfrac{16}{3}[/tex]

As the difference between consecutive terms is [tex]\sf \frac{1}{3}[/tex] then the sequence is arithmetic with common difference of [tex]\sf \frac{1}{3}[/tex]

General form of an arithmetic sequence: [tex]\sf a_n=a+(n-1)d[/tex]

where:

Given:

So the formula for the nth term of this sequence is:

[tex]\implies \sf a_n=4+(n-1)\dfrac{1}{3}[/tex]

[tex]\implies \sf a_n=\dfrac{1}{3}n+\dfrac{11}{3}[/tex]

Answer:

-18x + 36 for the -6(3x-4) and 12x - 20 for the one on the image.

Step-by-step explanation:

You have 2 questions so I'll answer both of them (One written and the image as well)

-6 (3x-4)

You need to multiply -6 by 3x and -4

-18x + 36 Is the simplified version

**Remember that when multiplying two negatives they turn into a positive.

-2x (-6 + 10)

You need to multiply -2x by -6 and 10

12x - 20

Answer:

791.28

Step-by-step explanation:

1. 3.14*9²=254.34

2. 3.14*9*19=536.94

3. 536.94+254.34=791.28

Answer:

the six medals possibly be given out by three medals for girl and three medals for boy

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Areas and Volumes.

Area of Shaded region = Area of Square - Area of inscribed Circle.

Radius if circle = 10/2 ==> 5 units

hence,

Area of circle = 25 π units

Area of square = (10)^2 ==> 100 units

hence the area of shaded region = 100 - 25π

==> Area of shaded region = 25 (4 - π)

Correct option is G.)

Answer: 6.32

Step-by-step explanation: 6 days a week in 4weeks Is 24days

Divide the total distance by 24

Assuming she went to the theater no more than 8 times. The inequality best represents the number of movies she saw is: x + y ≤ 8.

The inequality that represent the number of movies is: x + y ≤ 8

Where:

x represent drama at the movie theater

y represnt comedies at the movie theater

≤ represent less than

8=Number of times

Therefore the inequality is: x + y ≤ 8.

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Answer:

c on edge

Step-by-step explanation:

because i took the test and got a 100

3*2/3=2

The statistical tool for accounting for sampling error in an estimate is confidence interval.

The term sampling has to  do  with the selection of a given number of participants from the population in susch a way that reflects the population of the entire population.

Sampling is usually prone to given degree of error. The statistical tool for accounting for sampling error in an estimate is confidence interval.

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#SPJ1

Answer:

the same  65 degrees

Step-by-step explanation:

Answer:

1418 ( Hope this helps! )

Step-by-step explanation:

g= 440+990-2(440)(990) cos 164

g=193600+980100-2

g=193600+980100+837451.1895

g= 2011151.1895 Square root and round