Mary walks from comer D to comer E to comer F on a city block that measures 264 feet wide and 900 feet long. Kate walks
diagonally across the city block from comer D to comer F. How much less distance did Kate walk than Mary to get to comer
F? Round your answer to the nearest whole foot. Enter only the number.
D
900 feet
264 feet
The solution is

Answer:

5 5/6

Step-by-step explanation:

Multiply 2 1/3 by 2 1/2.  The easiest way (?!) is to change both mixed numbers to improper fractions (I dislike that name! It just means a numerator bigger than the denominator).

2 1/3 Multiply the denominator 3 by the whole number 2, add the numerator 1 to get 6+1 = 7.  Place that over the denominator, 3.  So 2 1/3 = 7/3.

2 1/2 Multiply the denominator 2 by the whole number 2, add the numerator 1 to get 4+1=5.  Place that over the denominator, 2.  So 2 1/2 = 5/2.

Multiply 7/3 by 5/2.

[tex]\frac{5}{2} \cdot \frac{7}{3}=\frac{35}{6}[/tex]

Finally, convert the improper fractioin 35/6 to a mixed number by dividing 35 by 6 (6 goes into 35 5 whole times with 5 "left over").  The whole number part is 5 and the left over fraction part is 5/6.

5 5/6

Answer:

A. 120

Step-by-step explanation:

I calculated it logically

Answer:

0.55

Step-by-step explanation:

Given

See attachment for table

Required

[tex]P(x \ge 10)[/tex]

To do this, we consider rows where x is either 10 or greater than 10

i.e. 10, 11 and 12

So:

[tex]P(x \ge 10) = P(10) + P(11) + P(12)[/tex]

Using values from the table, we have:

[tex]P(x \ge 10) = 0.20 + 0.25 + 0.10[/tex]

[tex]P(x \ge 10) = 0.55[/tex]

Answer:

x = 6

Step-by-step explanation:

(8/3)x - 16 = 0

Add 16 to both sides

(8/3)x = 16

Multiply both sides by 3/8

x = 16(3/8)

x = 6

Answer:

Step-by-step explanation:

The answer is B; 90°

Option C is the correct transformation to transform ABCD to A'B'C'D'.

Rotation involves moving an object about a fixed point. Each point on the object describes a circular path with the center, the center of rotation.

Translation involves moving an object such that only one of the three cartesian coordinates changes during the transformation.

here, we have,

Rotation

Rotate the square ABCD counterclockwise about the origin. Sides AD and BC of square ABCD will become parallel to the sides A'D' and B'C' respectively of the square A'B'C'D'. The square ABCD is, thus, oriented the same way as the square A'B'C'D'.

Vertical Translation

After the rotation, the side AB is 1 unit above the y-axis, which is the same as that of the square A'B'C'D'. So, the vertical position of the square ABCD is the same as that of the square A'B'C'D'.

Horizontal Translation

The side AD of the square ABCD is 5 units to the left of the x-axis. The side A'D' of the square A'B'C'D' is 8 units to the left of the x-axis. So, translate the square ABCD to the left by 3 units to coincide with the position of A'B'C'D'.

Thus, to obtain A'B'C'D' from ABCD first rotate it by 90° counterclockwise then, translate it to the left by 3 units.

Learn more about the translation and rotation here

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Answer:

I believe it’s option c!

Step-by-step explanation:

Correct me if I’m wrong!

Answer:

0.31

Step-by-step explanation:

the area of shaded region =

(2×½×8×10) = 80

the total area of fig. =

½×(34+18)×10 = 260

the probability = 80/260 = 0.31

Answer:

i would say A

Step-by-step explanation:

Answer:

[tex]E(x) = 4.500[/tex] --- Expected value

[tex]SD(x) = 2.872[/tex] --- Standard deviation

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} & {8} & {9} \ \\ P(X=x) & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}}& {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} \ \end{array}[/tex]

Solving (a): Expected value

This is calculated using:

[tex]E(x) = \sum\limits^{9}_{i=0} x_i * P(X = x_i)[/tex]

Since they all have the same probability, the formula becomes:

[tex]E(x) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i[/tex]

[tex]E(x) = \frac{1}{10}(0+1+2+3+4+5+6+7+8+9)[/tex]

[tex]E(x) = \frac{1}{10}*45[/tex]

[tex]E(x) = \frac{45}{10}[/tex]

[tex]E(x) = 4.500[/tex]

Solving (b): Standard Deviation

First, we calculate the variance using

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

In (a), we have:

[tex]E(x) = 4.500[/tex]

[tex]E(x^2)[/tex] is calculated as:

[tex]E(x^2) = \sum\limits^{9}_{i=0} x_i^2 * P(X = x_i)[/tex]

Since they all have the same probability, the formula becomes:

[tex]E(x^2) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i^2[/tex]

So, we have:

[tex]E(x^2) = \frac{1}{10}(0^2+1^2+2^2+3^2+4^2+5^2+6^2+7^2+8^2+9^2)[/tex]

Using a calculator

[tex]E(x^2) = \frac{1}{10}(285)[/tex]

[tex]E(x^2) = 28.5[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]Var(x) = 28.5 - 4.5^2[/tex]

[tex]Var(x) = 28.5 - 20.25[/tex]

[tex]Var(x) = 8.25[/tex]

The standard deviation is then calculated as:

[tex]SD(x) = \sqrt{Var(x)}[/tex]

[tex]SD(x) = \sqrt{8.25}[/tex]

[tex]SD(x) = 2.872[/tex] ---- approximated

well I can’t see the statements but I would say it is a right triangle

The surface area of the right cone in terms of pi is 176π units².

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The surface area of a cone is expressed as;

Surface area  = πrl + πr²

Where r is the radius of the base, l is the slant height of the cone and π is constant pi.

From the diagram:

Radius r = 8 units

Slant height h = 14 units

Surface area =?

Plug the given values into the above formula and solve for surface area:

Surface area = πrl + πr²

Surface area = ( π × 8 × 14 ) + ( π × 8² )

Surface area = ( π × 112 ) + ( π × 64 )

Surface area = 112π + 64π

Surface area = 176π units²

Therefore, the surface area is 176π units².

Option A)176π units² is the correct answer.

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Answer:

389

Step-by-step explanation:

3*118 + 35

Answer:

35.775

Step-by-step explanation:

So, 53 is the amount of ccs that makes a 40% solution.

How can we find the ccs of 27% solution?

Well, we should first find teh amount of ccs per 1%.

To do this, divide 53 by 40:

53/40

=

1.325

Now multiply this by 27 to get the amount of ccs for 27%:

27*1.325

=

35.775

Hope this helps! :)

Answer:

wow!

Step-by-step explanation:

the answer is x=1/2+3y/4

Answer:

x:(1/2,0)

y:(0,-2/3)

this is the points in the graphic

Answer:

Andy is incorrect because the shape must be a regular figure.

Step-by-step explanation:

 Andy is incorrect because the shape must be regular.

The line of symmetry can be defined as the axis or imaginary line that passes through the center of shape or object and divides it into identical halves.

According to the given question

Andy said that "shape with more than three sides or angles has the same number of lines of symmetry".

Hence, Andy is incorrect because the shape must be regular to find the line of symmetry.

Learn more about lines of symmetry here:

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[tex]sin = \frac{ \sqrt{17} }{7} [/tex]

Answer:

y = 5.66388 feet, (round that to whatever you need to round to)

Step-by-step explanation:

cos (51) = y/9

cos(51)*9=

y = 5.66388 feet

Answer:

20cm Squared

Step-by-step explanation:

Area of a Triangle = Base X Hight divided by 2

= 5 X 8 Divided by 2

= 40 Divided by 2

= 20cm Squared

Answer:

False.

Step-by-step explanation:

Time-series graph is a graph that relates something to the change of time, then the time is the single variable in this case.

Bar graphs relate a given quantity to a given variable, an example of this can be the population of a given city (represented by the height of each bar) for each different year (which is the single variable in this case)

Pie-chart is a circular graph with defined sections that represent a given proportion. This kind of graph is used to represent percentages, like in the case of a pie chart that describes the number of men and women in a city. (one section of the circle represents the percentage of women and the other section of the circle represents the percentage of men). In this type of graph, there are no variables, so this is not a single variable graph.

Then the statement:

"Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs."

Is false.

Step-by-step explanation:

the measure of arc RPQ is

360°-42° = 318°

Answer:

I'd recommended saying B, but they are asking YOU! Not us, so please answer this truthfully.

Answer:

90

Step-by-step explanation:

80% of n = 200

Change to decimal form

.80n = 200

Divide each side by .80

.80n/.80 = 200/.80

n =250

Now find 36% of that number

36% of 250

.36*250

90

9514 1404 393

Answer:

  (x, y) = (2, 2)

Step-by-step explanation:

We can put the second equation into standard form by dividing by -2.

  x -2y = -2

Adding this to the first equation eliminates x

  (x -2y) +(-x -y) = (-2) +(-4)

  -3y = -6

  y = 2 . . . . . divide by -3

  -x -(2) = -4 . . . . substitute for x in the first equation

  2 = x . . . . . . . . add 4+x

The solution is (x, y) = (2, 2).

Answer:

C. 40,25,-16,-2 Celsius

Answer:

Each friend gets 1/12

Step-by-step explanation:

1/3 pounds of nuts in total

4 people

1/3 / 4

1/3 * 1/4 = 1/12

Answer:

im pretty sure A.

Step-by-step explanation:

Ugh I hate problems like these

sorry if its not correct

Answer:

D

Step-by-step explanation:

-12 because 12-12=0 so if you want to get the numbers to equal to 0, you need to add -12

Answer:

Step-by-step explanation:

I think its 1203