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3 years ago

Write the equations of three distinct lines to have the same y-intercept -one

Mathematics

1 answer:

Vlad [161]3 years ago

3 0

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

Answer:

y = -2x + 1

y = 0.6x + 1

y = x + 1

y = 1

y-intercept = 1

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How many tens are there in 10 ones? <br>

AlexFokin [52]

Answer:

1 ten.

Step-by-step explanation:

1 ten = 10 ones/units

7 0

3 years ago

Read 2 more answers

A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4

Alexandra [31]

Answer:

Original price of car = $20,000

Step-by-step explanation:

Let the original price of the car be 'x' dollars.

Given:

Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.

Worth of car after 8 years = $5000

Value after depreciation in 4 years = Half of original value = $\frac{x}{2}$

So, value of car after depreciation in another 4 years = Half of the value after 4 years = $\frac{1}{2}(\frac{x}{2})=\frac{x}{4}$

Therefore, final depreciated value after 8 years is $\frac{x}{4}$ .

But, as per question, final depreciated value is $5000. Thus,

$\frac{x}{4}=5000\\x=5000\times 4\\x=20000$

Therefore, the original price of the car was $20,000.

3 0

3 years ago

What is the probability that a randomly selected contestant won a prize, given that the contestant was female write the probabil

pantera1 [17]

We have given the table of number of male and female contestants who did and did not win prize

The probability that a randomly selected contestant won prize given that contestant was female is

P(contestant won prize / Contestant was female)

Here we will use conditional probability formula

P(A/B) = $\frac{P( A and B)}{P(B)}$

Let Event A = selected contestant won prize and

event B = selected contestant is famale

Then numerator entity will

P(A and B) = P(Contestant won prize and Contestant is female)

= Number of female contestant who won prize / Total number of contestant

= 3 /(4+9+3+10)

= 3 / 26

P(A and B) = 0.1153

P(B) = P(contestant is female )

= Number of female contestant / Total number of contestants

= (3+10) / 26

P(B) = 0.5

Now P(A / B) = $\frac{P( A and B)}{P(B)}$

= 0.1153 / 0.5

P(A / B) = 0.2306

The probability that randomly selected contestant won prize given that contestant is female is 0.2306

Converting probability into percentage 23.06%

The percentage that randomly selected contestant won prize given that contestant is female is 23%

3 0

3 years ago

Find the missing number in the pythagoras triplet. 9,12,___

CaHeK987 [17]

15

add 3 to 9 and it’s 15

6 0

3 years ago

A typical sugar cube has an edge length of 1.00 cm. Imagine you have a cubical box that contains a mole of sugar cubes, perfectl

alisha [4.7K]

Answer:

844368.7 m

Step-by-step explanation:

We are given that a typical sugar cube has an edge length of 1.00 cm.

We have to find the edge length of the box in meters.

Edge length of sugar cube=1 cm = $10^{-2}m$ ( $1 cm=\frac{1}{100}m$ )

Volume of a sugar cube= $side\times side\time side=(10^{-2})^3=10^{-6}m^3$

1 mole of sugar= $6.02\times 10^{23}units$

Volume of 1 unit= $10^{-6} m^3$

Volume of $6.02\times 10^{23}$ units= $6.02\times10^{23}\times 10^{-6}=6.02\times 10^{17} m^3$

Volume of box=1 mole of sugar= $6.02\times 10^{17} m^3$

Edge length of box= $\sqrt[3]{6.02\times 10^{17}}=844368.7 m$

6 0

3 years ago