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Andru [333]
3 years ago
9

Korey kept track of the number of miles he ran each week for five weeks. The median number of miles he ran during the five weeks

was 20, and the mean was 21. Which list could show the number of miles Korey ran each of the five weeks? (2pt)
A. 18, 20, 20, 22, 25

B. 20, 20, 20, 25, 25

C. 16, 19, 21, 22, 22

D. 20, 20, 21, 22, 22
Mathematics
1 answer:
shepuryov [24]3 years ago
6 0

Answer:

the correct answer would be A. the mean is when you add up all of them and divide it by how many numbers there are which in this case is 5. and the median is the number in the middle, in this case 20, therefore when you add up all numbers in A ,you get 105 and you divide it by 5 which gives you 21. :))

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Fill in the missing values to make the equations true.
azamat

Step-by-step explanation:

Some of the property of log are as follows :

1. \text{log a}-\text{log b}=\text{log} \dfrac{\text{a}}{\text{b}}

2. \text{log a}+\text{log b}=\text{log}(a{\cdot} b)

3. \text{log}a^n=n\ \text{log} a

Now coming to question,

(a) \text{log 5}-\text{log 8}=\text{log} \dfrac{\text{5}}{\text{8}} (using property 1)

(b) \text{log 1}+\text{log 3}=\text{log}(1{\cdot} 3)=\text{log} 3 (using property 2)

(c) \text{log} 4=\text{log} 2^2=2\ \text{log} 2 (using property 3)

Hence, this is the required solution.

5 0
3 years ago
GCSE maths question about the turning point of the graph.<br> please help!
Neporo4naja [7]

Answer:

The coordinates of the turning point are (2, -9)

Step-by-step explanation:

The coordinates of the turning points of the quadratic equation

y = ax² + bx + c, are (h, k), where

  • h = \frac{-b}{2a}
  • k is the value of y at x = h

∵ The equation of the curve is y = x² + bx + c

→ By comparing it with the form above

∴ a = 1

∵ The point (0, -5) lies on the curve

→ Substitute x by 0 and y by -5 in the equation to find the value f c

∵ -5 = (0)² + b(0) + c

∴ -5 = 0 + 0 + c

∴ -5 = c

→ Substitute it in the equatin

∴ y = x² + bx - 5

∵ The point (5, 0) lies on the curve

→ Substitute x by 5 and y by 0 in the equation to find the value f c

∵ 0 = (5)² + b(5) - 5

∴ 0 = 25 + 5b - 5

→ Add the like terms in the right side

∴ 0 = 20 + 5b

→ Subtract 5b from bth sides

∵ 0 - 5b = 20 + 5b - 5b

∴ -5b = 20

→ Divide both sides by -5 to find b

∴ b = -4

→ Substitute it in the equatin

∴ y = x² - 4x - 5

∵ a = 1 and b = -4

→ Substitute them in the rule of h above t find it

∵ h = \frac{-(-4)}{2(1)} = \frac{4}{2}

∴ h = 2

→ To find k, substitute x by 2 and y by k

∵ k = (2)² - 4(2) - 5

∴ k = 4 - 8 - 5

∴ k = -9

∴ The cordinates of the turning point are (2, -9)

6 0
2 years ago
Evaluate the following expression for: x= -2, y=4, z=-3<br><br> 4(2x+y)-2y+z
otez555 [7]

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

\blue\textsf{\textbf{\underline{\underline{Question:-}}}}

Evaluate the expression 4(2x+y)-2y+z for x=-2, y=4 and z=-3

\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}

Before inserting the values of the variables, I recommend writing the equation in its simplest form.

First, use the distributive property and distribute 4:-

8x+4y-2y+z

Simplifying,

8x+2y+z

Now that the expression is in its simplest form, we can substitute the variables and simplify the expression.

First, write -2 in lieu of x:-

8(-2)+2y+z

-16+2y+z

Now, write 4 in lieu of y:-

-16+2(4)+z

-16+8+z

-8+z

Final step:-

write -3 in lieu of z:-

-8+(-3)

-8-3

-11

<h3>Good luck.</h3>

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

7 0
2 years ago
Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is
marysya [2.9K]

Answer:

B 6.00

Step-by-step explanation:

M= 6$

C= 9$

M+C= 6+9= 15$ per hour

3 0
3 years ago
HELPP!! 10 points 1 question . ( explain your answer )
Greeley [361]
50.25% off because 100÷199=50.25
4 0
3 years ago
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