The following data values represent a population. What is the variance of the

Mr. Hans wants to give an award to the student with the best jump rope rate. Linda can jump rope 120

Gelneren [198K]

Answer:

c) Mike receives the award for being the best at jumping rope.

Step-by-step explanation:

Here, according to the question

Jumping rate of Linda = 120 times in 4 minute

So, number of jumps Linda does per minute = (120/4) = 30

So, Jumps per minute of Linda is 30.

Jumping rate of Carl = 315 times in 9 minute

So, number of jumps Carl does per minute = (315/9) = 35

So, Jumps per minute of Carl is 35.

Jumping rate of Mike = 252 times in 7 minute

So, number of jumps Mike does per minute = (252/7) = 36

So, Jumps per minute of Linda is 36.

Now if we compare the jumps per minute of Linda , Carl and Mike, weget that Mike has the best rate of 36 jumps per minute.

Hence, Mike receives the award for being the best at jumping rope.

4 0

3 years ago

X-y=6 2x-3z=16 2y+z=4 Solve the systems of equations.

Neko [114]

Answer:

Given System of equation:

x-y =6 .....,[1]

2x-3z = 16 ......[2]

2y+z = 4 .......[3]

Rewrite the equation [1] as

y = x - 6 .......[4]

Substitute the value of [4] in [3], we get

$2(x-6)+z = 4$

Using distributive property on LHS ( i.e, $a \cdot (b+c) =a \cdot b+ b \cdot c$ )

then, we have

2x - 12 +z =4

Add 12 to both sides of an equation:

2x-12+z+12=4+12

Simplify:

2x +z = 16 .......[5]

On substituting equation [2] in [5] we get;

2x+z=2x -3z

or

z = -3z

Add 3z both sides of an equation:

z+3z = -3z+3z

4z = 0

Simplify:

z = 0

Substitute the value of z = 0 in [2] to solve for x;

$2x-3(0) = 16$

or

2x = 16

Divide by 2 both sides of an equation:

$\frac{2x}{2} =\frac{16}{2}$

Simplify:

x= 8

Substitute the value of x =8 in equation [4] to solve for y;

y = 8-6 = 2

or

y = 2

Therefore, the solution for the given system of equation is; x = 8 , y = 2 and z =0

5 0

3 years ago

Find the measure of the 3rd angle of a triangle given that the first 2 angles are 44 and 72 degrees

MArishka [77]

3rd angle of a triangle = 180 -(44 + 72) = 180 - 116 = 64

answer
3rd angle of a triangle = 64 degrees

5 0

3 years ago

A store ordered 28 boxes holding 12 banana muffins each and five boxes holding 6 blueberry muffins each. What was the total numb

sveticcg [70]

Answer:

366 muffins

Step-by-step explanation:

28 x 12 = 336

5 x 6 = 30

336 + 30= 366 muffins

6 0

3 years ago

Find the first four terms of the sequence given a1=18 and an+1=2+an/2.

EleoNora [17]

Answer:

Step-by-step explanation:

hello

$a_1=18\\\\a_2=2+\dfrac{a_1}{2}=2+\dfrac{18}{2}=2+9=11\\\\a_3=2+\dfrac{a_2}{2}=2+\dfrac{11}{2}=\dfrac{4+11}{2}=\dfrac{15}{2}\\\\a_4=2+\dfrac{a_3}{2}=2+\dfrac{15}{2}=\dfrac{4+15}{2}=\dfrac{19}{2}$

hope this helps

7 0

3 years ago

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