lucia and quinn train for a bike race. lucia bikes 46 miles in 240 minutes. quinn bikes 51 miles in 5 hours. Who bikes at a faster rate? Show your work.

Answer:

15.13

Step-by-step explanation:

To find diameter, divide circumference by pi or 3.14

I'm going to change the fraction to a decimal, so 47.5

47.5/3.14 = 15.1273885

Round to nearest hundredth gives you 15.13

A company makes muesli which contains nuts and sultanas.

They counted the number of nuts in 50 individual serving packets.

They drew a table.

Number     Midpoint   Number of            

of nuts         (x)           packets (f)              f.x  

4 - 6               5                3                      15

7-9                 8                9                          

10 - 12           11                 12                      

13 - 15            14                17                          

16 - 18            17                 9                    

                                     50                    

To Find :

complete the table

calculate and estimate for the mean

The estimate for the mean number of nuts in a serving packet of muesli is approximately 12.2 nuts.

a) To complete the table, we need to find the values of "fx" (frequency multiplied by the midpoint) for each class interval. Here's the updated table:

Number of Nuts Number of Packets Midpoint (x) fx

4-6 5 5 5 * 3 = 15

7-9 8 8 8 * 9 = 72

10 - 12 11 11 11 * 12 = 132

13 - 15 14 14 14 * 17 = 238

16 - 18 17 17 17 * 9 = 153

Total 50  610

b) To calculate an estimate for the mean, we use the formula:

Mean = Sum of (fx) / Total Number of Packets

Mean = 610 / 50

Mean ≈ 12.2

Therefore, the estimate for the mean number of nuts in a serving packet of muesli is approximately 12.2 nuts.

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Answer:

4 2/3

Step-by-step explanation:

Any negatives in absolute value signs can be turned positive because it is the same distance from 0 in the number line. (right or left, but in this case, the distance is ALWAYS positive)

Answer: -11/2

Step-by-step explanation:

Answer:

$3333.33 approx

Step-by-step explanation:

Given data

Rate r= 1.7%

Final Amount A=$4500

Time = 18years

Principal P= ????

The expression for the compound interest is given bellow as

A=P(1+r)^t

4500= P(1+0.017)^18

4500= P(1.017)^18

4500= P*1.35

P= 4500/1.35

P= $3333.33

Hence the principal is $3333.33 approx

Answer:3313.74

Step-by-step explanation:

Answer:

Silicone types in common use in the industry include:

High Modulus.

Low modulus.

Neutral cure.

Acetoxy cure.

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have a good day!

Answer:

50p

Step-by-step explanation:

you can add them all up together. 27+3+6+14=50!

Answer:

40 people came to the Center to hike

Step-by-step explanation:

30 people took classes

22 did bird watching

12 did both

to solve, take 12 and subtract it from each one:

⇒ 30 - 12 = 18

⇒ 22 - 12 = 10

18 people only took classes

10 people only did bird watching

12 people did both

18 + 10 + 12 = 40

9514 1404 393

Answer:

  (c)  (6x^4 – 4)(36x^8 + 24x^4 + 16)

Step-by-step explanation:

The correct factoring can be found by looking at the first exponent in the second set of parentheses.

The factorization of ...

  (a^3 -b^3)

is ...

  (a -b)(a^2 +ab +b^2)

__

Here, you have a=6x^4 and b=4, so the first term in the second parentheses is ...

  a^2 = (6x^4)^2 = 6^2·x^(4·2) = 36x^8 . . . . matches the 3rd choice

Answer:C

Step-by-step explanation:

Answer:

81.9

Step-by-step explanation:

63 of 130 is 48.46%

Steps to solve "what percent is 63 of 130?"

63 of 130 can be written as:

63

130

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100.

Answer:

81.9

Step-by-step explanation:

63/100 x 130 = 81.9

Your welcome! :)

Answer:

y = 8x + 2

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By this formula, slope of a line passing through (1, 10) and (0, 2) will be,

m = [tex]\frac{10-2}{1-0}[/tex]

m = 8

Equation of the line will be,

y = 8x + b

Since, this line passes through (0, 2),

2 = 8(0) + b

b = 2

Therefore, equation of the line will be,

y = 8x + 2

Answer:

y=3x+2

Step-by-step explanation:

Answer:

4 cm

Step-by-step explanation:

A parallelogram area formula= Base x Height.

It already gave you the area so you can work backwards to solve for the base.

So, 20 divided by 5(the height) is 4.

Therefore, you can conclude that the length of the base is 4 cm.

Answer:

x = 5

Step-by-step explanation:

using the Pythagorean theorem:

(x-1)² + (x-2)² = x²

x²-2x+1 + x²-4x+4 = x²

reduce:

2x²-6x+5 = x²

subtract x² from each side:

x²-6x+5 = 0

(x-1)(x-5) = 0

x=1 but because shorter leg would be 0, a triangle would be impossible.

x=5

Answer:

9 days

Step-by-step explanation:

Day 1 20 min

Day 2 20 min

Day 3 30 min

Day 4 30min

Day 5 40 min

Day 6 40 min

Day 7 50 min

Day 8 50 min

Day 9 60 min

Answer:

5 bowls

Step-by-step explanation:

Total number of bowls = total pints / capacity of each bowl

17/8 ÷ 3/8

Convert 1 7/8 to improper fraction = 15/8

15/8 x 8/3 = 5 bowls

Answer:

The answer is 2

Step-by-step explanation:

just subtract the powers of 10 and 8.

Step-by-step explanation:

divide by 2 then reverse

Answer:

3

Step-by-step explanation:

8*2 = 16 + -17 = -1 - 4 = 3

Answer:

3 if you accidentally put that x at the end there.

Step-by-step explanation:

Answer:

x=107/2, y=-40. (107/2, -40).

Step-by-step explanation:

y=-31-9=-40

2x+3(-40)=-13

2x-120=-13

2x=-13+120

2x=107

x=107/2

Answer:

(7, 3)

Step-by-step explanation:

Using the midpoint formula

M(X, Y) = {(ax1+bx2/a+b), ay1+by2/a+b}

X = ax1+bx2/a+b

X = -5(1)+3(11)/1+3

X = -5+33/4

X = 28/4

X = 7

Y = ay1+by2/a+b

Y = 1(12)+3(0)/1+3

Y = 12/4

Y = 3

Hence the coordinate of P is at (7, 3)

Answer: Greater than 10 N

Step-by-step explanation:

Given

Gravity force on metal is 10 N

But the metal piece is rising i.e. there must be an upward force greater than 10 N

Suppose the force is F

So, we can write

[tex]\Rightarrow F>10\ N[/tex]

Any force greater than 10 N is sufficient for the metal to move upwards

The greater the amount of force faster will be the movement

Answer:

odancLo mismo estoy bus

Step-by-step explanation:

Answer:

im guessing 20 questions are incorrect

Step-by-step explanation:

Answer:

Your Answer would 1/6

Step-by-step explanation:

I hope This Helps :)