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marshall27 [118]

3 years ago

15

when solving an equation using the Distributive property, if the numbers being distributed are fractions,whats is your first ste

p? why?

1 answer:

Leona [35]3 years ago

4 0

Find a way to turn the fraction into a whole number so it will be easier to multiply, add, etc.

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Y = x -5<br> x + y = -1 <br> whats the soultion for the systeam of eqations

pantera1 [17]

Answer:

x = 2

y = -3

Step-by-step explanation:

y = x - 5 -------------------(I)

x + y = -1 ----------------(II)

Substitute y = x -5 in equation (II)

x + (x - 5) = -1

x + x - 5 = -1 {Combine like terms}

2x - 5 = -1 {Add 5 to both sides}

2x = -1 + 5

2x = 4 {Divide both sides by 2}

x = 4/2

x = 2

Substitute x = 2 in equation (I)

y = 2 - 5

y = -3

3 0

2 years ago

What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linea

charle [14.2K]

if the graph is NOT a linear function, then the two variables are NOT directly proportional

5 0

3 years ago

Read 2 more answers

Steve is about to take his fifth math test. His scores on the first four test were 84, 92, 71, and 94. What score does Steve nee

lyudmila [28]

Answer:

84

Step-by-step explanation:

The sum of the differences of the current scores from average is ...

(84 -85) +(92 -85) +(71-85) +(94 -85) = -1 +7 -14 +9 = 1

So, to make the total of all differences from average be zero, Steve must get a score of 85 -1 = 84 on his 5th test.

4 0

3 years ago

Verify that the following function is a probability mass function, and determine the requested probabilities. f left-parenthesis

Licemer1 [7]

Answer:

$f(x) = \frac{27}{13} (\frac{1}{3})^x , x=1,2,3$

1) $f(x_i) \geq 0, \forall x_i$

2) $sum_{i=1}^n P(X_i) =1$

We can find the individual probabilities and we got:

$f(1)= \frac{27}{13} (\frac{1}{3})^1 =0.6923$

$f(2)= \frac{27}{13} (\frac{1}{3})^2 =0.2307$

$f(3)= \frac{27}{13} (\frac{1}{3})^3 =0.0770$

And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.

$P(X \leq 1) = P(X=1) =0.6923$

$P(X>1) = P(X=2) +P(X=3) = 0.2307+0.0770=0.3077$

$P(2$

Step-by-step explanation:

For this case we have the following density function:

$f(x) = \frac{27}{13} (\frac{1}{3})^x , x=1,2,3$

In order to satisfty that this function is a probability mass function we need to check two conditions:

1) $f(x_i) \geq 0, \forall x_i$

2) $sum_{i=1}^n P(X_i) =1$

We can find the individual probabilities and we got:

$f(1)= \frac{27}{13} (\frac{1}{3})^1 =0.6923$

$f(2)= \frac{27}{13} (\frac{1}{3})^2 =0.2307$

$f(3)= \frac{27}{13} (\frac{1}{3})^3 =0.0770$

And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.

And if we want to find the following probabilities:

$P(X \leq 1) = P(X=1) =0.6923$

$P(X>1) = P(X=2) +P(X=3) = 0.2307+0.0770=0.3077$

$P(2$

7 0

3 years ago

What is the value of the y-coordinate of point A

kap26 [50]

Answer: $-\dfrac{1}{2}$

<u>Step-by-step explanation:</u>

The coordinate at -30° <em>(-30° = 330°)</em> = $\bigg(\dfrac{\sqrt3}{2},-\dfrac{1}{2}\bigg)\\$

the x-value is $\dfrac{\sqrt3}{2}$

the y-value is $-\dfrac{1}{2}\\$

6 0

4 years ago