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2 years ago

Slove this equation 4x+y=5

2 answers:

7 0

Hi there!

When I solved this, I got y=-4x+5.
I subtracted 4x from both sides of the equation.

Hope this helps!
~Brooke

notsponge [240]2 years ago

4 0

4x + y =5

$x = \frac{5 - y}{4}$
$y = 5 - 4x$

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7nadin3 [17]

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5 0

3 years ago

Read 2 more answers

Express in simplest radical form. V40

Andrews [41]

Answer:

$\huge\boxed{2 \sqrt{10}}$

Step-by-step explanation:

When taking a square root and making it a radical, we need to list out it's factors and find which one we can take the square root of.

The factors of 40 are:

1, 2, 4, 5, 8, 10, 20, 40.

Out of these, we need to look for one that we can find the square root of.

We know that the square root of 4 is 2.

Therefore, we can make $\sqrt{40}$ into $\sqrt{4 \cdot 10}$ .

The square root of 4 is 2. Therefore, we can put that outside the radical.

$2 \sqrt{10}$ .

Hope this helped!

7 0

3 years ago

There are 10 cards. Each card has one number between 1 and 10, so that every number from 1 to 10 appears once.

pychu [463]

Answer:

When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen. Here the card is chosen with replacement. This implies probability for choosing a prime number remains the same as the previously drawn card is replaced.

The sample space= {1,2,3,4,5,6,7,8,9,10}

Prime numbers = {2,3,5,7}

Prob for drawing prime number = 4/10 = 0.4

is the same when replacement is done.

Also there are two outcomes either prime or non prime. Hence in this case, X the no of times a prime number is chosen, is binomial with p =0.4 and q = 0.6 and n=5

When a card is chosen at random without replacement three times, X is the number of times an even number is chosen.

Prob for an even number = 0.5

But after one card drawn say odd number next card has prob for even number as 5/9 hence each draw is not independent of the other. Hence not binomial.

When a card is chosen at random with replacement six times, X is the number of times a 3 is chosen.

Here since every time replacement is done, probability of drawing a 3 remains constant = 1/10 = 0.3

i.e. each draw is independent of the other and there are only two outcomes , 3 or non 3. Hence here X is binomial.

When a card is chosen at random with replacement multiple times, X is the number of times a card is chosen until a 5 is chosen

Here X is the number of times a card is chosen with replacement till 5 is chosen. This is not binomial. Here probability for drawing nth time correct 5 is P(non 5 in the first n-1 draws)*P(5 in nth draw) = 0.1^(n-1) (0.9)

Because nCr is not appearing i.e. 5 cannot appear in any order but only in the last draw, this is not binomial.

Step-by-step explanation:

6 0

3 years ago

The table below shows data for a class's mid-term and final exams:

lina2011 [118]

Mid term :
Q1 = (88 + 85)/2 = 86.5
Q2 = (92 + 95)/2 = 93.5
Q3 = 100
IQR = Q3 - Q1 = 100 - 86.5 = 13.5

final exams :
Q1 = (65 + 78)/2 = 71.5
Q2 = (88 + 82)/2 = 85
Q3 = (95 + 93)/2 = 94
IQR = Q3 - Q1 = 94 - 71.5 = 22.5

so the final exams has the largest IQR

5 0

3 years ago

Read 2 more answers

Given point B is located at

ELEN [110]

Answer: $\Large\boxed{Point~B'~=~(-4,~-2)}$