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3 years ago

6

Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What

is the circumference of Earth's equator? (Hint: Earth's circumference at the equator is equal to the distance that Earth rotates around the equator).

1 answer:

Kamila [148]3 years ago

4 0

24 multiplied by 1670

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Mixed in a drawer are 44 blue socks, 88 white socks, and 44 gray socks. You pull out two socks, one at a time, without looki

MrRissso [65]

Answer:

The probability of getting 2 socks of the same color is 1/3.

Step-by-step explanation:

In the drawer,

Number of blue socks = 4

Number of white socks = 8

Number of gray socks = 4

Total number of socks = 4 + 8 + 4 = 16

Total ways to select 2 socks form 16 socks is

$^{16}C_2=\dfrac{16!}{2!(16-2)!}=120$

Total ways to select 2 socks of the same color is

T = Possible ways of (2 blue + 2 white +2 gray) socks

= $^{4}C_2+^{8}C_2+^{4}C_2$

= $6+28+6$

= $40$

The probability of getting 2 socks of the same color is

$Probability=\dfrac{\text{Total ways to select 2 socks of the same color}}{\text{Total ways to select 2 socks form 16 socks}}$

$Probability=\dfrac{40}{120}$

$Probability=\dfrac{1}{3}$

Therefore, the probability of getting 2 socks of the same color is 1/3.

3 0

2 years ago

What is the inverse of f(x)= cube root of x +2.

DiKsa [7]

F(x)= $\sqrt[3]{x+2}$
to solve for the inverse of a function you do 4 steps:
1. subsitute f(x) with y
2. switch y and x places
3. solve for y
4. subsitute y with f⁻¹(x)

so we have
f(x)= $\sqrt[3]{x+2}$
subsitute f(x) with y
y= $\sqrt[3]{x+2}$
switch x and y
x= $\sqrt[3]{y+2}$
solve for y

x= $\sqrt[3]{y+2}$
cube both sides
$x^{3}$ =y+2
subtract 2 from both sides
$x^{3}-2$ =y

subsitute y with f⁻¹(x)
f⁻¹(x)= $x^{3}-2$

the answer is f⁻¹(x)= $x^{3}-2$

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3 years ago

Which statement is true

Step2247 [10]

The first statement is true because 10 x 50 = 500

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3 years ago

PLS HELP ITS A SIMPLE EQUATION I GIVE 30 PTS AND BRANLIEST

KengaRu [80]

Answer:

- 59/40

Step-by-step explanation:

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2 years ago

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The order pairs (0,0), (2,4), (4,8) and (6,12) represent a function. What is the rule for this function ?

Gala2k [10]

X double by 2
y double by 2

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