The ages and grades of some of the 19 girls on a club soccer team are shown in the table. Which two-way frequency table correctly shows the marginal frequencies? ​

Answer:

3750

Step-by-step explanation:

2250/45=50

50x75=3750

Answer:

Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?

Answer:

Solution here,

Principal=?

Time =3 year

Rate of percent= 4.5

SIMPLE intrest=$405

Now

Principal=(SIMPLE INTREST × 100)/(TIME × RATE)

=$40500/13.5

=$3000

The angles formed by the angle bisector BF are ∠FBA and ∠FBC.

The step in which the mistake was made is step 3; Then, she placed the compass on point C and drew an arc on the interior of ∠ABC which intersects the previous arc.

Reasons:

The steps to draw an angle bisector are;

Place the compass at the vertex of the angle and draw an arc intersecting the the two rays forming the angle at points D and E

Place the compass at point D and draw an interior arc to the given angle

Place the compass at point E and draw a second interior arc intersecting the previous arc

The point of intersection of the two arcs can be labelled F and joined to the vertex of the given angle to complete the angle bisection

Therefore, the step in which the mistake was made is; Step 3 where the compass is placed at point C rather than point E to draw the second arc of the angle bisector

Learn more about an angle bisector here:

https://brainly.com/question/10130247

Answer:

Step three

Step-by-step explanation:

she placed the point on C when it was supposed to be on E

Answer:

AAS

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

66 + 72 + 87 = 225

225/3 = 87

Answer:

  87

Step-by-step explanation:

For problems involving averages, it often works well to consider the differences from the average. Here, Ali desires an average of 75. The total of differences from average will be zero. The differences for the known scores are ...

  66 -75 = -9

  72 -75 = -3

The total of these is -12, so the third score must have a difference of +12 for the average to be 75

  x -75 = 12

  x = 87

For the average to be at least 75, the third score must be at least 87.

_____

You can also work this in a more conventional way. The average of the three scores must be at least 75.

  (66 +72 +x)/3 ≥ 75

  138 +x ≥ 225 . . . . . . multiply by 3, simplify

  x ≥ 87 . . . . . . . . . . subtract 138

The lowest mark Ali must receive is 87.

a.

The required equation is  23p + 19.50 = 180.50

Let p represent the number of people who can go to the amusement park.

Since the ticket costs $23 per person, the total amount paid for ticket is rate × number of person = $23 × p = 23p.

Since we pay $19.50 for parking, the total amount spent is T = 23p + 19.50

Since the total amount equals $180.50. T = 180.50

So, 23p + 19.50 = 180.50

The required equation is  23p + 19.50 = 180.50

b.

Solving 23p + 19.50 = 180.50, we have

23p = 180.50 - 19.50

23p = 161

p = 161/23

p = 7

So, the number of people who can go to the amusement park is 7.

Learn more about linear equations here:

https://brainly.com/question/24307397

Answer:

a

Step-by-step explanation:

(2a²bc²)(5b²c)

= 2 × 5 × a² × b × b² × c² × c

= 10 × a² × b³ × c³

= 10a²b³c³

Answer:

B.zero

#carryonlearning

Answer:

D

Step-by-step explanation:

A vertical line parallel to the y- axis has an undefined slope

Answer:

C (5,4)

Step-by-step explanation:

(x,y)

fist number in the ordered pair is the X value

Second number in the ordered pair is the Y value

A (-3,0) means you go 3 spaces to the left in the negative direction and zero spaces in the Y axis

B(-2,1) means you go 2 spaces to the left on the x axis (negative) and 1 space up (positive) in the Y axis

C (5,4) means you go 5 spaces to the right on the x axis (positive) and 4 spaces up on the Y axis (positive)

After doing all of these we see that C does not end up on the line

Answer:

x = 8

Step-by-step explanation:

∆D = ∆F

40°+2∆D = 180°

2∆D = 140

∆D = 70°

11x-18 = 70

11x = 88

x = 88/11

x = 8

Answer:

b=20

Step-by-step explanation:

-185-5=9b

-180=9b

=>b= -20

Answer:

  yes; the distributive property applies to dot products

Step-by-step explanation:

The product of (a-b) with itself is ...

  (a -b)·(a -b) = a² -2ab +b²

because the commutative and distributive properties apply to multiplication.

  (a -b)·(a -b) = a(a -b) -b(a -b) = a² -ab -ba +b² = a² -ab -ab +b² = a² -2ab +b²

__

The same expansion works for the dot product operation, because the commutative and distributive properties hold for that operation, as well.

  (u −v)•(u −v) = u•(u -v) -v•(u -v) = u•u -u•v -v•u +v•v

  = u•u -u•v -u•v +v•v = u•u -(u+u)•v +v•v = u•u -2u•v +v•v

_____

Additional comment

The proof of any of the properties of the dot product relies on expressing the vectors in component form. The distributive property is no exception.

Answer:

100 N

Step-by-step explanation:

Use Pythagorean Theorm to solve:

a2 + b2 = c2

(100)2 + (25)2 = c2

10000 + 625 = c2

10625

Take the square root

c2= 100N

Your Answer: 100 N

Answer:

See image

Step-by-step explanation:

In order to be in standard form, all the variables should be on the same side of the equation. The x^2 term should be first, then the x term then the constant (you could think of it as an x^0 term; it is a plain number) The coefficients of the x^2 term and the x term, should be integer coefficients (the number next to the x^2 and x cannot be a fraction or decimal)

Answer:

The answer is

→ 533.333333333 or 533.33 (Rounded up to the hundredths)

Step-by-step explanation:

Given: How many 3/4 can fit in 400.

Step 1: Indentify what 3/4 equals.

3/4 = 0.75

Step 2: Divide 400 by 0.75

400 / 0.75 = 533.333333333

Step 3: Round up to the hundredths.

533.333333333 → 533.33

Hence, 533.333333333 or 533.33 is your answer.

Answer:

61.9

Step-by-step explanation:

mark me as brainliest

Answer:

  62°

Step-by-step explanation:

The law of cosines is used to find the length of side k:

  k² = i² +j² -2i·j·cos(K)

  k² = 40² +80² -2·40·80·cos(92°) ≈ 8223.3568

  k ≈ 90.6827 . . . . . . . take the square root

Then the law of sines is used to find angle J.

  sin(J)/j = sin(K)/k

  J = arcsin(j/k·sin(K)) = arcsin(80/90.6827·sin(92°)) ≈ 61.84°

  J ≈ 62°

Answer:

p=2/5

p=0.4

Step-by-step explanation:

Answer:

p=2/5

Step-by-step explanation:

6p+13.5=159/10

Answer:

S (2, - 15 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Using (x₁, y₁ ) = T (0, 3 ) and (x₂, y₂ ) = S (x, y )

Calculate the midpoint using above and equate to coordinates of (1, - 6 )

[tex]\frac{x+0}{2}[/tex] = 1 ( multiply both sides by 2 )

x = 2

[tex]\frac{y+3}{2}[/tex] = - 6 ( multiply both sides by 2 )

y + 3 = - 12 ( subtract 3 from both sides )

y = - 15

S has coordinates (x, y ) = (2, - 15 )

Answer:

Point S is at the ordered pair (2,-15)

Step-by-step explanation:

midpoint formula : midpoint ordered pair (x,y) = ( [tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])

midpoint x = [tex]\frac{x1+x2}{2}[/tex] ; midpoint y = [tex]\frac{y1+y2}{2}[/tex]

midpoint x = 1 x1 = 0 midpoint y = -6 y1=3

Solve each equation for x2 and y2 to get the points for S.

x = [tex]\frac{x1+x2}{2}[/tex]

1 = (0) +x2 / 2

2 = x2

y = [tex]\frac{y1+y2}{2}[/tex]

-6 = 3 + y2 / 2

-12 = 3 + y2

-15 = y2

(2,-15) are the coordinates to point S.

Answer:

Step-by-step explanation:

Not necessarily.

For example 2 games could have the score 3-1 and 3-2.

This is a one-to-many mapping which is not a function.

lmk if you're looking for point slope form but it's y =  2/5x - 3

Answer:

the answer should be C

Step-by-step explanation:

Hope this helps!

Answer:

a

Step-by-step explanation:

Answer:

2/5 and 3/5

Step-by-step explanation:

The alteration has an effect on (K) I, II and III

The function is given as:

[tex]h = -at^2 + bt + c[/tex]

When the constant term (c) is altered, i.e. changed, the function becomes a different function entirely.

Take for instance, the new function is:

[tex]h = -at^2 + bt + c+ 1[/tex]

The functions [tex]h = -at^2 + bt + c[/tex] and [tex]h = -at^2 + bt + c+ 1[/tex] are different, and both functions will have different intercepts and vertices.

Hence, the alteration has an effect on (K) I, II and III

Read more about quadratic functions at:

https://brainly.com/question/11631534

Answer:

15

Step-by-step explanation:

Order

2, 9, 15, 17, 18

Find Median Position

Use the formula

[tex] \frac{n + 1}{2} [/tex]

where n is the number of numbers.

Substituting in, 5 + 1 is 6, divided by 2 is 3.

Find the number at the correct position

15

Answer:

$3.00

Step-by-step explanation:

1 pound = 16 ounces

2 pounds = 32 ounces

1.5 x 2 = 3

Answer:

43/10 pounds = 4 3/10 pounds

Step-by-step explanation:

for this you want to subtract 6 7/10 minus 2 2/5. You first have to get a common denominator and find the numerator then subtract.

Answer:

ur mom

Step-by-step explanation:

lol

Since 3 is greater than -3, hence (-1, 3) lie in the solution set. Option C is correct

In order to determine the points that lie in the solution set of the inequality y > 3x +10, we will substitute the x-coordinate and see if y is greater than the result.

For the coordinate point (1, 10)

y > 3(1) +10

y > 13

Since 10 is not greater than 13, hence (1,10) does not lie in the solution set.

For the coordinate point (4, 20)

y > 3(4) +10

y > 22

Since 20 is not greater than 22, hence (4,20) does not lie in the solution set.

For the coordinate point (-1, 3)

y > 3(-1) +10

y > -7

Since 3 is greater than -3, hence (-1, 3) lie in the solution set.

Learn  more on inequality here: brainly.com/question/24372553