Please help me I don’t understand this question and it’s a quiz

Kaden works 5 days. The median number of hours he works is 3. The mean number of hours he works is 4.

alisha [4.7K]

Answer:

(a) 1, 2, 3, 6, 8

Step-by-step explanation:

Given

$Median = 3$

$Mean = 4$

Required

The sequence of hours worked each day

See attachment for options

From the question, we understand that:

$Median = 3$

This means that, the middle number is 3 (when sorted)

So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively

Next, is to determine the mean of (a) and (d)

The mean of a data is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

(a)

$\bar x = \frac{1+ 2+ 3+ 6+ 8}{5}$

$\bar x = \frac{20}{5}$

$\bar x = 4$

(d)

$\bar x = \frac{1+ 2+ 3+ 4+ 5}{5}$

$\bar x = \frac{15}{5}$

$\bar x = 3$

Option (a) is true, because it has:

$Median = 3$

$Mean = 4$

7 0

2 years ago

What is the simplest form of 4 square root 81x^8y^5?

olasank [31]

Firstly,
thanks for posting this.

81 = 9x9 or 9 squared so at this stage I'm guessing the last two.
x^ 8 = (x^ 4) x (x^ 2) (its called the multiplication rule of indices).
Okay I have approx 14 mins to answer.
No panic
√ 81.x^8 x √ y^5
√ (9x^2 x 9x^6) x √ y^5
= 9x x √ 9x^6 x √ y^5
did I just gain time?
√ 9x^6 = √ 3x ^3 x √ 3x ^ 3
or 2 . √ 3x^3. √ y^5
more time
okay, so that wasnt successful.
√ 9x^6 =√ (3x^2) x √ (3x^4)

5 0

3 years ago

The parallelogram has a base of 8 cm and corresponding height of 4 cm. The parallelogram is changed proportionally and is dilate

sukhopar [10]

Answer:

The area of the new reduced parallelogram after dilation is 8 cm^2

Step-by-step explanation:

Mathematically, the area of a parallelogram = b * h

before dilation, area of the parallelogram = 8 * 4 = 32 cm^2

After dilation by a factor of 1/2, the base of the parallelogram becomes 1/2 * 8 = 4cm while the height becomes 1/2 * 4 = 2cm

Thus, the area of the dilated parallelogram is 4 * 2 = 8 cm^2

8 0

3 years ago

I need help on these as well

kvv77 [185]

Answer:

5. 2

6. -1

7. undefined

Step-by-step explanation:

6 0

3 years ago

A principal of $2600 is invested at 7% interest, compounded annually. How much will the investment be worth after 13 years?

AveGali [126]

Answer:

The total amount accrued, principal plus interest, from compound interest on an original principal of $ 2600 at a rate of 7% per year compounded 1 time per year over 13 years is $ 6266.

Step-by-step explanation:

Given

Principle P = $2600

Interest rate r = 7% = 0.07

Time period t = 13 years

Compounded annually means: n = 1

To determine

Accrued Amount = ?

Using the formula

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

substituting P = 2600, r = 0.07, t = 13, n = 1

$A\:=\:2600\left(1\:+\:\frac{0.07}{1}\right)^{1\left(13\right)}$

$A=2600\left(1+0.07\right)^{1\cdot \:13}$

$A = 6266$ $

Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 2600 at a rate of 7% per year compounded 1 time per year over 13 years is $ 6266.

4 0

3 years ago