Standing on the roof of her apartment building, the top of Carla’s head is 15 yards above the ground.
She spots a curb 20 yards from the base of the building. What is the height of the flagpole?

Answer:

The probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position is 1/72.

Step-by-step explanation:

It is provided that a dance team has 9 dancers to perform different roles in each performance.

The number of arrangements of the 9 dancers in the different roles is:

Number of order of performance = 9!

                                                       = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

                                                       = 362880

If the team selects the same order as last performance, then the possible number of arrangements is, 1.

The probability that the team selects the same order as last performance is:

[tex]=\frac{1}{362880}[/tex]

Now it is provided that the team puts the top hip hop dancer in the third position and top break dancer in the first position.

So of the 9 positions the 1st and 3rd are occupied.

There are a remaining 7 positions to be filled by 7 dancers.

That can happen in 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.

Compute the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position as follows:

[tex]=\frac{5040}{362880}\\\\=\frac{1}{72}[/tex]

Thus, the probability is 1/72.

Answer:

p > -3

Step-by-step explanation:

the open circle means that its either more than or less than

the closed circle means less than or equal to or more than or equal to

the point also landed on -3

hope this helps

Answer:

Its c. p > -3

Step-by-step explanation:

becuase the open circle mean less then or greater then and the way the arrow is facing means p is bigger !!

Answer:

2

Step-by-step explanation:

Answer:

-2√7(-5.291503)

Step-by-step explanation:

combine like terms

Answer:

[tex] - 2 \sqrt{7} [/tex]

Step-by-step explanation:

[tex]3\sqrt{7} - 5\sqrt{7} = - 2 \sqrt{7} [/tex]

We subtract 3 and 5 and not the numbers under the radical.

The number under the radical can be changed if multiplied or divided.

3-5=-2 or

-5+3=-2

It's like having 5 dollar debt and then paying 3 dollars, you still have to pay those 2 dollars left.

Hope this helps ;) ❤❤❤

Answer:

A

Step-by-step explanation:

x= 1 2/3, y=4 2/3

y=4(1 2/3)-2.    y=4 2/3

y=1 2/3+3        y=4 2/3

and that make the answer going to be A. Also other answer didn't work so yet. Then, A should be the right answer!

Hope this help!

A. x = [tex]\frac{5}{3}[/tex] or [tex]1\frac{2}{3}[/tex]  and y = [tex]\frac{14}{3}[/tex] or [tex]4\frac{2}{3}[/tex]

y = 4x - 2  ; y = x + 3

1. UNDERSTAND what you are given.

2. SUBSTITUTION METHOD means you replace one of the variables in terms of the other to start solving.

4x - 2 = x + 3 (write eq.)

3x - 2 = 3 (combine like terms: part 1)

3x = 5 (combine like terms: part 2)

x = [tex]\frac{5}{3}[/tex] or [tex]1\frac{2}{3}[/tex] (inverse operations: division)

3. PLUG IN VALUE FOR X to solve for y. Pick the simpler equation.

y = x + 3 (pick an original equation, either will work)

y  = [tex]\frac{5}{3}[/tex] + 3

y = [tex]\frac{5}{3}[/tex] + [tex]\frac{9}{3}[/tex]

y = [tex]\frac{14}{3}[/tex] or [tex]4\frac{2}{3}[/tex]

More explanations...

Hey there! :)

Answer:

4.

Step-by-step explanation:

Parallel lines contain the same slope. A line that is parallel to y = 4x + 2 has the same slope.

In this instance, a parallel line would contain a slope of m = 4.

Answer:

4

Step-by-step explanation:

Parallel lines have same slope.

Answer:

43.6 amp

Step-by-step explanation:

Given

A 40 amp fuse carries a temporary 9 % current overload.

9% current overload means that whatever will be the normal current carrying capacity of fuse, during overload it carries 9% more than that.

Current carrying capacity of fuse is 40 amp.

during overload it carries 9% more

over load current = 9% of 40 amp  = 9/100 *40 = 3.6 amp

total current flowing through fuse during overload = 40 amp + 3.6 amp

                                           = 43.6 amp (answer)

Answer:

Karim

Step-by-step explanation:

1. Turn 2/5 into a percentage by multiplying the numerator and denominators of 2/5 with 20 so the new fraction's denominator can be 100.

2. Your new fraction should be 40/100 also known as 40%.

3. Compare who's probability is more likely.

4. The answer will be (40%) Karim's.

Answer:

Karim

Step-by-step explanation:

35% is equivalent to 0.35, whereas 2/5 is equivalent to 0.40.  Karim is correct; 0.40 represents a greater probability than does 0.35.

Answer:

Since the Crayola box contains more markers that should be the right choice.

Step-by-step explanation:

In order to calculate the number of markers each box contains, we need to divide the width of the box by the width of the markers for each box and compare their numbers. Since the lengths are given in mixed fractions, we will first convert them to pure fractions.

For Crayola:

[tex]\text{box width} = 2 + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4} \text{ inches}[/tex]

[tex]n = \frac{\frac{11}{4}}{\frac{1}{4}} = 11[/tex]

For the Sharpie:

[tex]\text{box width} = 3 + \frac{3}{5} = \frac{15}{5} + \frac{3}{5} = \frac{18}{5} \text{ inches}[/tex]

[tex]n = \frac{\frac{18}{5}}{\frac{4}{10}} = \frac{18*10}{5*4} = \frac{180}{20} = 9[/tex]

Since the Crayola box contains more markers that should be the right choice.

Answer:

0.125 miles per gallon.

Step-by-step explanation:

After 200 gallons used the freight train has traveled 25 miles. This means that we need to divide both sides by 200 to get a singular gallon's worth of miles traveled. 200/200 is 1, and 25/200 is 0.125.

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

Extra

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

IF it were how many gallons per mile, you would divide both answers by 25 resulting in 8 gallons per mile.

Answer:

A= (x^2/7)(y^-3/5)

Step-by-step explanation:

7√x^2 / 5√y^3

7√x^2

=(x^2)1/7

=x^2/7

5√y^3

=(y^3)1/5

=y^3/5

Substitute into the expression

(x^2/7) / (y^3/5)

=(x^2/7)(y^-3/5)

Answer:

A

Step-by-step explanation:

edge 2020

Answer:

The answer is option D.

Step-by-step explanation:

cos M = adjacent / hypotenuse

From the picture

b is the adjacent

x is the hypotenuse

so

cos M = b/x

Hope this helps you

Answer:

[tex]C. \[/tex]   [tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]

Step-by-step explanation:

Given

[tex]x = 2[/tex]

[tex]y = 5[/tex]

Required

[tex]\frac{1}{2}x^3 + 3.4y[/tex]

Substitute 2 for x and 5 for y;

The expression becomes

[tex]=\ \frac{1}{2} * 2^3 + 3.4 * 5[/tex]

Multiply 3.4 by 5

[tex]=\ \frac{1}{2} * 2^3 + 17[/tex]

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

[tex]2^3 = 2 * 2 * 2 = 8[/tex]

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

[tex]=\ \frac{1}{2} * 8 + 17[/tex]

[tex]=\ \frac{8}{2} + 17[/tex]

[tex]=\ 4 + 17[/tex]

[tex]=\ 21[/tex]

Hence;

[tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]

Answer:

The number of distinct triangles that can be drawn using the dots = 6

Step-by-step explanation:

The parameters given are;

Two rows of three evenly spaced dots

To form a triangle, two dots will be selected from 1 row while the third dot will be selected from the other row

The number of ways of selecting the dots are therefore;

₃C₂ × ₃C₁ = 3 × 3 = 9 triangles

The same procedure can be done from the top row to give another 9 triangles

Which gives the total number of triangles = 18 triangles

The number of distinct triangles are found as follows;

Given that triangles obtained from the top row are similar to those of the bottom row, we reduce the range from which the distinct triangles can be found to 19 - 9 = 9 triangles

Of the 9 triangles formed by one dot on top and two dots on the bottom, the two adjacent dots of the three dots which are on the left and on the right of the lower row of dots, form the same three triangles with the three dots on the top row

Therefore, since there are 3 sets of two dots forming 9 triangles, each pair of dots can form 3 triangles, and as mentioned, 2 pairs of dots of the 3 pairs form the same triangles making the distinct triangle = 9 - 3 = 6.

Answer:

Solution,

[tex]10y -6y - (3y - 4y) \\ = 10y - 6y - 3y + 4y \\ = 10y + 4y - 6y - 3y \\ = 14y - 6y - 3y \\ = 8y - 3y \\ = 5y[/tex]

Hope this helps.

Good luck on your assignment...

Answer:

The students points will decrease 10 points in 4 days

Step-by-step explanation:

In 2 days he loses 5 points. So for 4 days all you have to do is double the amount of points because the amount of days have doubled

Answer:

The standard deviation of the given data is 11.34.

Step-by-step explanation:

We have to find the standard deviation for the given data;

Grade on     No. of students          

 test (X)        with that score (f)        [tex]X \times f[/tex]       [tex]( X - \bar X)^{2}[/tex]        [tex]f \times ( X - \bar X)^{2}[/tex]

     50                  1                       50      1073.218      1073.2176

     57                 2                       114      663.578      1327.1552

     60                 4                       240       518.018     2072.0704

     65                 3                       195       315.418      946.2528

     72                 3                       216        115.778       347.3328

     75                12                       900        60.218       722.6112

     77                10                       770        33.178       331.776

     81                 6                       486        3.098       18.5856

     83                 6                       498        0.058        0.3456

     88                9                       792        27.458      247.1184

     90                12                      1080        52.418      629.0112

     92                12                       1104        85.378     1024.5312

     95                 2                        190        149.818      299.6352

     99                 4                        396        263.738     1054.9504

    100                 5                      500         297.218     1486.088    

   Total                  91                          7531                              11580.68    

Firstly, the mean of the above data is given by;

            Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X \times f}{\sum f}[/tex]

                             =  [tex]\frac{7531}{91}[/tex]  =  82.76

Now, the standard deviation of the data is given by;

          Standard deviation, S.D.  =  [tex]\sqrt{\frac{\sum f(X-\bar X)^{2} }{\sum f-1}}[/tex]

                                                     =  [tex]\sqrt{\frac{11580.68}{91-1}}[/tex]

                                                     =  11.34

Hence, the standard deviation of the given data is 11.34.

Answer:

its 25° .

because its an isosceles trangle as jk=kl =7.

and angle J is equal to angle L as they are base angles of an isosceles triangle.

Answer:

1/4+m=2/3

Step-by-step explanation:

The total rectangle is equal to 2/3 as shown on the bottom rectangle.

1/4 and m fit into that same rectangle meaning that 1/4+m=2/3

The equation to represent the image is 1/4 + m= 2/3.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

1/4 and m

and, total = 2/3

So, we add together 1/4 and m then we get 2/3

Then, the mathematical expression is

1/4 + m= 2/3

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Answer:

Hey there!

That wouldn't be possible.

130% of something is more than the total amount.

For example, if she had 100 stamps, and gave away 130%, she would have -30 stamps, which is unreasonable.

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

1 ,2 , 0.5

Step-by-step explanation:

edgy2021

Answer:

35 cuts or 36 parts

The lumberjack cuts 7 numbers of the log on the painted lines.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Let length of the log on the painted lines = 72 units

Pedro wants the log cut into 24 equal parts,

⇒ 72/24 = 3 units

John wants the log cut into 18 equal parts,

⇒ 72/18 = 4 units

Hence, the lumberjack cuts 7 numbers of the log on the painted lines.

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Answer:

14

Step-by-step explanation:

The two points on y=5 are (4,5) and (10,5), which can be deducted if you draw a picture with (7,1) and y=5 on it. A vertical line through 7,1 and the line to "some" points on y=5 left and right of it have lengths 4 and 5 respectively.

Then I realized these were two 3,4,5 triangles! So the x coordinates must be at 7-3=4 and 7+3=10 respectively!

The sum of 4 and 10 is 14.

edit: seems to me the sum is 14 regardless of the length of 5??

Answer:

C,110°

Step-by-step explanation:

when the angle on circumference=50°

then the angle at center=2×50=100°

other angles of this triangle are equal and each=1/2(180-100)=1/2×80=40

so angle of quadrilateral=30+40=70°

as opposite angles of a cyclic quadrilateral are supplementary.

so y+70=180

y=180-70=110°

Answer:

not parallel

Step-by-step explanation:

If the ratio of the parts of the sides of the triangle intersected by HL are equal then the lines are parallel.

[tex]\frac{EH}{HG}[/tex]  = [tex]\frac{14}{4}[/tex] = [tex]\frac{7}{2}[/tex]

[tex]\frac{FL}{LG}[/tex] = [tex]\frac{9}{2}[/tex]

Since the ratios are not equal then HL and EF are not parallel

Answer:

40 + 8pi

Step-by-step explanation:

1/2 circle = 1/2 pi r-squared = 1/2x4x4x pi = 8pi

triangle = 1/2bh = 1/2x8x10 = 40

total area = 40 + 8pi

Answer:

24 units.

Step-by-step explanation:

we can use  concept of Thales intercept theorem in this problem

according to this theorem, if  there are n lines parallel to each then and two transverse line drawn such that they intersect the three parallel line given the problem, then the parallel line divides the transverse line equal proportion.

For this problem

For the line having length 45, one of the length is 25 units,

then other length will be 45-25 = 20 unit

Now using Thales intercept theorem

30/? = 25/20

30/? = 5/4

? = 30*4/5 = 24

Thus, missing side length will be 24 units.

Answer:

Step-by-step explanation:

Let's solve (4y - 3)^2 = 72 for y.  To do this, take the square root of both sides.  This yields:

4y - 3 = ±√72 = ±√(36·2) = ±6√2

Then 4y = 3 ±6√2, or

       3 ± 6√2

y = ----------------

             4

The required solution of quadratic equation is y = (3±6√2)/4. Option A is correct.

Solution of the quadratic equation (4y - 3)2 = 72 to be determine.

Quadratic equation are the equation having maximum power 2.

Here,
(4y - 3)² = 72
4y-3 = ±√72
4y = ±√72 +3
y = (3 ± 6√2)/4

Thus, The required solution of quadratic equation is y = (3±6√2)/4.

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