In a mathematics class, half of the students scored 79 on an achievement test. With the exception of a few students who scored 49, the remaining students
scored 78. Which of the following statements is true about the distribution of scores?
A. The mean is greater than the mode.
B. The mean is greater than the median.
C. The mean and the median are the same.
OD. The mean is less than the median

Answer:

The speed of Sara is 78.4 km/h.

Step- by-step explanation:

Manuel and Sara travel a certain distance, and the times they use are in the ratio 21/15. Manuel's speed is 56km / h. What is Sara's speed?

Let the distance is d.

speed of Manuel = 56 km/h

time taken by Manuel = 21 t

time taken by Sara =  15 t

Let the speed of Sara is v.

Distance = speed x time

For Manuel:

d = 56 x 21 t ..... (1)

For Sara:

d = v x 15 t ..... (2)

From (1) and (2)

56 x 21 t = v x 15 t

v = 78.4 km/h

Answer:

Step-by-step explanation:

Let the number of apples given to his friends = x

To represent the number of apples Johnny has, subtract the apples given to his friends from 14

Number of apples with Johnny = 14 - x

i think by x2 you meant x²

(-3x² + 2x + 1) + (-8x² + 3x + 2)

-11x² + 5x + 3

If die is rolled two times, find the probably of getting "1'twice.

[tex] {1}\{36} [/tex]

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Please understand it

#BrainliestBunch

Answer:

Area= Base x height

Area= 7 x 12 inch

Area= [tex]84inch^{2}[/tex]

Brainliest please

Answer:

y = 3/4x +7/2

Step-by-step explanation:

slope of line = difference of 2nd x value - 1st x value/ 2nd y value - 1st y value

x difference /y difference = 3/4 = slope

y = 3/4x

to find y-intercept, add a variable

y = 3/4x + B

then add the first x and y value point numbers into equation

0 = 3/4(4) + B

-3 = B

put back B into equation.

y = 3/4x - 3 which is the linear path the biker is going

now you can use another variable to find the new bike path

y = 3/4x + A

plug in the x value 2 and y value 5 from (2,5)

5 = 3/2 + A

A = 7/2

there-fore the new line which is parallel to the old line is:

y = 3/4x +7/2

Answer:

In terms of x, the smaller integer is (x - 1)/2

Step-by-step explanation:

Two consecutive positive integers can be written as:

n and (n + 1)

Where n is an integer and:

n > 0.

notice that the smaller of the two integers is n.

We know that the sum of these two integers is equal to x, then:

n + (n + 1) = x

we can rewrite this as:

2n + 1 = x

solving this for n (the smaller of the two integers) we get:

2n = x - 1

n = (x - 1)/2

In terms of x, the smaller integer is (x - 1)/2

Answer:

[tex]5 \sqrt{2} [/tex]

Answer:

10.61

Step-by-step explanation:

Answer:

y = 4

Step-by-step explanation:

[tex]\frac{sin(90)}{4\sqrt{2} } = \frac{sin(45)}{y}[/tex]

Answer:

y = 4

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

y = 4

Answer: ∠TRS and ∠VRW  (Choice B)

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

Explanation:

Ignore ray RU. I would redraw the entire thing without ray RU as part of the picture. See below.

Notice how lines TW and SV intersect to form an X shape.

The angles TRS and VRW shown in red are opposite one another, so we consider them to be vertical angles. Vertical angles are always congruent.

Answer:

B ∠TRS and ∠VRW

Step-by-step explanation:

Answer:

(x-4y)(x-3y) ÷(x+8y)(x-8y)×(x+8y)÷3(x-3y)

=3(x-4y)÷(x-8y)

Answer:

B

Step-by-step explanation:

[tex]d \: = \frac{h}{24} [/tex]

[tex]h \: = 24d[/tex]

Answer:

Step-by-step explanation:

Increasing the side length by 5 is represented as s + 5. To get the area of a square we multiply side times side: [tex](s+5)^2=s^2+10s+25[/tex]

The area of a square is s². If we are increasing this area s² by 895, then to represent this we have s² + 895.

Put that together into an equation:

[tex]s^2+10s+25=s^2+895[/tex] and simplify to

10s = 870 so

s = 87

Let's check that. The area before the addition to the side is 87*87 = 7569; the area after the addition of 5 cm is 92*92 = 8464. The difference is

8464 - 7569 = 895 so we did good!

Answer:

sdfghjkl

Step-by-step explanation:

Answer:

D. 14.1

Step-by-step explanation:

Use sin, opposite over hypotenuse.

sin67 = 13/X

solve for X

Solution :

Colored marble            Prize

     Red ----  10               20

    Blue --- 38                 10

   Green --- 26               5

P(red)  =  10/74  =  5/37

P(blue)  =  38/74  =  19/37

P( green)  = 26/74  =  13/37

Therefore,

 X      →     Red          Blue      Green

P(X)           5/37        19/37      13/37

The expected values are :

[tex]$20 \times \frac{5}{37} - 10 \times \frac{19}{37} - 5 \times \frac{13}{37}[/tex]

= -4.189

Thus it is not profitable to play the game.

Answer:

3/40 cup

Step-by-step explanation:

3 1/3 =10/3

10/3 to 1 is 1/4 to x

i then proceeded to use the butterfly method to find the answer

Answer:

(26/9 , -7/9)

Step-by-step explanation:

Here,

let the points be

X(-1,7) = (x1, y1)

Y(4,-3) = (x2,y2)

and let the ratio be...

m:n = 7:2

and.. let the point that divides the line be

P(x,y)

now using the section formula for internal division..

P(x,y) = ( m.x2 + nx.1 / m+ n , my2+ny2/m+n )

= ( 7.4+2.-1 / 7+2 , 7.-3 + 2.7/7+2 )

= ( 26/9 , -7/9 )

Answer:

A = 16 units²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

The right triangle on the left is a 3- 4- 5 ( Pythagorean triple )

Then b = 4 and h = 4 , so

A = 4 × 4 = 16 units²

Answer:

3/2

Step-by-step explanation:

Answer:

Option 4.

Step-by-step explanation:

Tan(X)=perpendicular/base

Tan(X)=48/14

X=arctan(48/14)=74

We shall proceed in hit and trial method

Find some nearest multiples of 252

Yes last one is square of 42

So smallest no is 7

Answer:A(1,-5)

B(6,-8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x is the geometric mean because it is a part of both the small triangle on the left (with base 81) and the whole triangle (with base 225). Setting up the geometric means formula:

[tex]\frac{81}{x}=\frac{x}{225}[/tex] and cross multiply to get

[tex]x^2 =18225[/tex] so

x = [tex]\sqrt{18225}[/tex] and

x = 135

Answer:

it would be line to zero slope that's all I can do for u pal maybe..

Answer:

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Step-by-step explanation:

where the model step by step explanation