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3 years ago

14

What is the median of the data?

1 answer:

UNO [17]3 years ago

3 0

You need to order the data, so
11, 12, 13, 14, 14, 15, 17, 17, 18, 18, 18, 20
Then find the middle of the data. Because there are 12 data points, the median will lie between the two 6th placed numbers
The two numbers are 15 and 17, so work out the mean of them. (15+17)/2 = 16
So the answer is B. 16

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Which expression is equivalent

RUDIKE [14]

Given expression is

$\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}$

Radical is fourth root

first we simplify the terms inside the radical

$\frac{x^{11}}{x^7}=x^4$

$\frac{y^(8)}{y^6}=y^2$

So the expression becomes

$\sqrt[4]{\frac{16x^4y^2}{81}}$

Now we take fourth root

$\sqrt[4]{16} = 2$

$\sqrt[4]{81} = 3$

$\sqrt[4]{x^4} = x$

We cannot simplify fourth root (y^2)

After simplification , expression becomes

$\frac{2x\sqrt[4]{y^2}}{3}$

Answer is option B

7 0

3 years ago

Which expression is equivalent to: (5⁹ × 5⁻⁷)⁻² ?

lutik1710 [3]

Answer:

(6^4 x 2^-9)

Step-by-step explanation:

4 0

2 years ago

What is completely factored form of x^4+8x^2-9

olganol [36]

X^4 + 8x^2 - 9
= (x^2 + 9)(x^2 - 1)
= (x^2 + 9)(x + 1)(x - 1) Answer

4 0

2 years ago

Read 2 more answers

A shade of yellow light with a wavelength of 5.8×10-7 m and a frequency of 5.17 × 10-14 Hz

harina [27]

Step-by-step explanation:

We have,

The wavelength of yellow light, $\lambda=5.8\times 10^{-7}\ m$

Frequency of yellow light, $f=5.17\times 10^{-14}\ Hz$

It is assumed to find the speed of light in the yellow light.

The speed of a wave is given in terms of wavelength and frequency as :

$v=f\lambda\\\\v=5.17\times 10^{-14}\times 5.8\times 10^{-7}\\\\v=2.99\times 10^{-20}\ m/s$

So, the speed of light in a shade of yellow light is $2.99\times 10^{-20}\ m/s$ .

4 0

2 years ago

-7 + 11p = 3p - 47<br> Please help me figure out how to work it out

Dennis_Churaev [7]

Answer:

p = -5

Step-by-step explanation:

11p-3p = 8p

-47+ 7 = -40

8p = -40

-40/8 = -5

3 0

2 years ago

Read 2 more answers