Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a mean score of 72.6 points out of 100 and a standard deviation of 8.7. Shannon received a score of 81 points. Shannon thinks she performed better than 68% of the students in the contest

Answer:

48m^2

Step-by-step explanation:

A=LxW=12x4=48

Answer:

Step-by-step explanation:

1848 / 2310 == 4 / 5 = True

Answer:

[tex]1\frac{2}{3}[/tex] yards

Step-by-step explanation:

Answer:

Ross has 1 [tex]\frac{2}{3}[/tex] yards of material left

Step-by-step explanation:

(6 [tex]\frac{1}{3}[/tex] + 2 [tex]\frac{1}{6}[/tex] ) - 6 [tex]\frac{5}{6}[/tex]

(6 [tex]\frac{2}{6}[/tex] + 2 [tex]\frac{1}{6}[/tex] ) - 6 [tex]\frac{5}{6}[/tex]

8 [tex]\frac{3}{6}[/tex] - 6 [tex]\frac{5}{6}[/tex]

7 [tex]\frac{9}{6}[/tex] - 6 [tex]\frac{5}{6}[/tex] = 1 [tex]\frac{4}{6}[/tex]

Simplify

1 [tex]\frac{2}{3}[/tex]

Answer:

Area of rectangle= 24 × 7 = 168

Area of trapezium = ((a+b)/2)h = 74

Total area = 168 + 74 = 242

Answer:

242in^2

Step-by-step explanation:

Area of parallelogram is

1/2(a+b)×h

a=13in

b=24in

h=4in

= 1/2(13+24)×4

=1/2(37)×4

so the area of the parallelogram is

=74in^2

Area of rectangle is

L×B

L=24in

B=7in

=24×7

=168in^2

so the area will be the sum of the area of parallelogram and rectangle

=74in^2+ 168in^2

=242in^2

Step-by-step explanation:

100-15=85%

85% × 29.99

=$25.49

Answer:

52, 61 and 70

Step-by-step explanation:

Given

[tex]Divisor = 9[/tex]

[tex]Remainder = 7[/tex]

Required

Determine first 3 possible dividends

The relationship between the [tex]dividend,\ divisor,\ quotient\ and\ remainder[/tex] is:

[tex]Dividend = Divisor * Quotient + Remainder[/tex]

Substitute: [tex]Divisor = 9[/tex] and [tex]Remainder = 7[/tex]

[tex]Dividend = 9* Quotient + 7[/tex]

Since the Dividends must be greater than 50, then the values of the quotient will be 5, 6 and 7

So, we have:

[tex]Dividend = 9* 5 + 7 = 45 + 7 = 52[/tex]

[tex]Dividend = 9* 6 + 7 = 54 + 7 = 61[/tex]

[tex]Dividend = 9* 7 + 7 = 63 + 7 = 70[/tex]

Hence, the three numbers are: 52, 61 and 70

Answer:

x = 1.5

Step-by-step explanation:

The perimeter of a rectangle is calculated by adding widht and height and multiply it by 2

The lenght is 2x + 3 and the width is 3x + 7

(2x + 3 + 3x + 7) *2 = 10x + 20 this is the perimeter which is given as 35 units

10x + 20 = 35 subtract 20 from both sides

10x = 15 divide both sides by 10

x = 1.5

Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).

Answer:

Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).

1 hr 36 min (98.3 mi)

Step-by-step explanation:

=======================================================

Explanation:

H = heads

T = tails

Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.

Those 8 outcomes are:

Again the order matters.

------------

Now let's define the following events

There's only one way to get three heads, and that's HHH. So P(A) = 1/8.

There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.

From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.

Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:

From here, multiply the probability values with their corresponding net values

Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75

Each time a turn happens, we expect on average to get 0.75 points

Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.

Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.

Answer:

Step-by-step explanation: its number 3

Answer:

27

Step-by-step explanation:

Answer:   4

Step-by-step explanation:

Answer: Solve for

[tex]y= \frac{5x}{3} -1\\or \\y=-\frac{2x}{3} +6\\[/tex]

Step-by-step explanation:

Solve for X.

Answer:

x = 95°

y = 147°

z = 128°

Step-by-step explanation:

z = 180 - 52 = 128°

x: first find the remaining angle in the big triangle, 180 - (45 + 50) = 85°

x = 180 - 85 = 95°

y: first find the remaining angle in the small triangle, 180 - (95 + 52) = 33°

y = 180 - 33 = 147°

Answer:

The answer is "[tex]\overarc{ADC} = m\angle CPD + m\angle DPA = 186[/tex]"

Step-by-step explanation:

Please find the image of the question:

In the circle p:

[tex]\to m\angle APB + m\angle BPC + m\angle CPD + m\angle DPA = 360^{\circ} \\\\\to 70 + 104 + m\angle CPD + m\angle DPA = 360\\\\\to m\angle CPD + m\angle DPA = 360 - 70 - 104 = 186[/tex]

Let P is in the center

[tex]\to[/tex] arc AD= [tex]m\angle APD[/tex]

[tex]\to[/tex] arc DC = [tex]m\angle CPD[/tex]  

[tex]\to[/tex] arc BC = [tex]m\angle BPC[/tex]  

arc AB =

When D is on arc AC:

[tex]\to[/tex]arc ADC =  arc AD  + arc DC  

[tex]\to[/tex]arc ADC = [tex]m \angle CPD + m\angle DPA = 186[/tex]

Answer:

Step-by-step explanation:

It is assumed XYZ is a right triangle.

Answer:

the y intercept

so up 1 from (0,0)

9514 1404 393

Answer:

  A)  P = 8d +14

  B)  d = 2

  C)  56 cm^2

Step-by-step explanation:

A) The perimeter is the sum of all of the side lengths.

  P = 2(L +W)

  P = 2((3d +2) +(d +5)) = 2(4d +7)

  P = 8d +14

__

B) Using 30 for P, we have ...

  30 = 8d +14

  16 = 8d . . . . . . . subtract 14

  2 = d . . . . . . . . . divide by 8

__

C) The side lengths are ...

  3d +2 = 3(2) +2 = 8 . . . . cm

  d+5 = 2+5 = 7 . . . . cm

Then the area is ...

  A = LW

  A = (8 cm)(7 cm) = 56 cm^2

The area of the rectangle is 56 square centimeters.

Answer:

he was complete dog water box like a fish  o earnings

Step-by-step explanation:

Answer:

Step-by-step explanation:

A.the fraction is technically 36/99, but simplified version is 4/11

X = 0.36363636......

100x = 36.363636.....

100x - x =36.363636 - 0.363636....

99x=36

X=36/99

= 4/11

0.36363636363 is the first repeating fraction and 36.36363636 is the second repeating fraction, because you multiply it by 100.

b.0.3666 ... = 11/ 30

Explanation:

x = 0.3666 . .

(1)  10 x = 3.666 ...

(2)  100 x = 36.666 ...

(2)-(1):

100 x − 10 x = 36.666 ... − 3.666 ...

90 x = 33

x = 33/ 90 = 11/ 30

c.9/25

0.36 in the simplest form as fraction is 9/25.

Hope it helps!!!

Answer:

if player wins by spining the greater number, spinner b should be chosen. However, if the game is won by spinning the lesser number , spinner a should be chosen.

Answer:

y = -1/2 x + 5

Step-by-step explanation:

1) y = mx + b

2) m is the slope and b is the y-intercept

3) For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form: m = y2 - y1 / x2 - x1

4) Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.

5) Now, just plug the numbers into the formula for m above, like this: m = -1/2

6) So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this: y = -1/2 x + b

7) To find b, think about what your (x,y) points mean:

(4,3). When x of the line is 4, y of the line must be 3.

(6,2). When x of the line is 6, y of the line must be 2.

8) You can use either (x,y) point you want..the answer will be the same:

(4,3). y=mx+b or 3=-1/2 × 4+b, or solving for b: b=3-(-1/2)(4). b=5.

(6,2). y=mx+b or 2=-1/2 × 6+b, or solving for b: b=2-(-1/2)(6). b=5.

9) So, this means that the equation of the line is y = -1/2 x + 5

Answer:

186.67 ft³

Step-by-step explanation:

Volume of a pyramid

= [tex]\frac{1}{3} [/tex] × base area × height

The volume of the pyramid

[tex] = \frac{1}{3} \times (8 \times 10) \times 7[/tex]

[tex] = \frac{1}{3} \times 80 \times 7[/tex]

[tex] = 186.666...[/tex]

= 186.67 ft³ (rounded to the nearest hundredth)

Answer:

12

Step-by-step explanation:

Answer:

I would say A cause I think that that is the closest answer

Step-by-step explanation:

I am so so so sorry if this is wrong I'm not that great at math myself.

Answer:

Step-by-step explanation:

if the two sides are 12, the third will have to be shorter so it could be:

( 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 )

can you choose me brainliest? :D

Answer:

27.65

Step-by-step explanation:

C=πd=π·8.8≈27.64602

rounded to the nearest tenth would be 27.65

hoped this helped.

Answer:

4)it has infinitely many solutions

Answer:65.15

Step-by-step explanation:

Answer:

$67.15

Step-by-step explanation:

100% - 15% = 85%

original price = 79

85% of 79 = sale price

85/100 * 79 = sale price

67.15

Answer:

Step-by-step explanation:

[tex]f(x)=x^4-6x^3+8x^2-21^2\\it~ is~ of ~degree~4\\so~it~has~4 ~zeros.\\now ~we~talk~about~zeros.\\we ~check ~the ~change~of~signs.\\f(x)= + - + -\\it~has~3~changes ~of~signs\\it~ has~ 1 ~or~ 3~ real~ roots.\\f(-x)=x^4+6x^3+8x^2-21^2\\f(-x)=+ + + -\\it~has~one~change~of~sign.\\so ~it~has~one~negative~real~root.\\[/tex]

we conclude that it has two or four real roots.

Answer:

27602.02

Step-by-step explanation:

Principal =  £25,000

Rate of interest = 2% per year.

Number of years = 5 years

Formula,

=> £25000 * (1 + [tex]\frac{2}{100}[/tex] )^5

=> £25000 * 1.02^5

=> £25000 * 1.1040808

=> £27602.02

Therefore, the amount = £27602.02

Rounded to the nearest penny is £27602.02

Hope it helps :)