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2 years ago

Y=2x+6 and y=-3x+16 for solving the system

1 answer:

4 0

Substitution

Step 1: Solve for x or y in either of the two equations. In the equations that you are given, y is already solved for you.

Step 2: Plug in 2x + 6 into the opposite equation.

2x + 6 = -3x + 16
   - 6 - 6
------------------------------
2x = -3x + 10
+ 3x + 3x
------------------------------
5x = 10
------   ------
5    5

x = 2

Step 3: Plug in the x value into either equation.

y = 2(2) + 6
y = 4 + 6
y = 10

The final answer gets expressed as a coordinate pair: (x,y) (2,10)

I hope this helps you :)

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Iq scores are normally distributed with a mean of 100 and a standard deviation of 15.

bearhunter [10]

Mean is $\mu=100$ and a standard deviation is $\sigma =15$ , then the variable $X\sim N(100,15^2)$ .

Use substitution

$Z=\dfrac{X-\mu}{\sigma},\\ \\ Z=\dfrac{X-100}{15}$ .

This substitution gives you that $Z\sim N(0,1)$ .

a. For X=130, $Z=\dfrac{130-100}{15}=2$ and $Pr(X>130)=Pr(Z>2) =0.9772$ (the decimal value is taken from the Standard Normal Distribution Table).

b. For X=90, $Z=\dfrac{90-100}{15}=-\dfrac{2}{3}$ and for X=110, $Z=\dfrac{110-100}{15}=\dfrac{2}{3}$ . Then $Pr(90$ (the decimal value is taken from the Standard Normal Distribution Table).

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2 years ago

How much will Bob need to save each month if he wants to buy a $30,000 car with cash in 5 years? He can earn a nominal interest

NeX [460]

Answer:

Step-by-step explanation:

C is too little and D is too much

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3 years ago

Please solve this question!!

GaryK [48]

Answer: (i) 1/221 (ii) 11/221 (iii) 95/663 (iv) 1/663

Step-by-step explanation:

(i) A deck of cards contains 4 Kings out of 52 total cards

1st draw: 4 Kings out of 52 total cards → 4/52 = 1/13

2nd draw: 3 remaining Kings out of 51 total remaining cards → 3/51 = 1/17

1st Draw 2nd Draw Outcome Probability

King: P(K) = 1/13 King: P(K₂/K₁) = 1/17 King, King (1/13) x (1/17) = 1/221

*************************************************************************************************

(ii) A deck of cards contains 4 Jacks, 4 Queens, & 4 Kings out of 52 total cards

1st draw: 12 Face cards out of 52 total cards → 12/52 = 3/13

2nd draw: 11 remaining Face cards out of 51 total remaining cards → 11/51

1st Draw 2nd Draw Outcome Probability

Face: P(F) = 3/13 Face: P(F₂/F₁) = 11/51 Face,Face (3/13) x (11/51) = 11/221

*************************************************************************************************

(iiI) A deck of cards contains 26 black cards out of 52 total cards but there are 2 black Jacks, 2 black Queens, and 2 black Kings.

1st draw: 20 Black (not Face) cards out of 52 total cards → 20/52 = 5/13

2nd draw: 19 remaining Black (not Face) cards out of 51 total remaining cards → 19/51

1st Draw 2nd Draw Outcome Probability

Black: P(B~) = 5/13 Black: P(B~₂/B~₁) = 19/51 B~,B~ (5/13) x (19/51) = 95/663

*************************************************************************************************

(ii) A deck of cards contains 4 Aces out of 52 total cards

1st draw: 4 Aces out of 52 total cards → 4/52 = 1/13

2nd draw: 1 Queen of Hearts out of 51 total remaining cards → 1/51

1st Draw 2nd Draw Outcome Probability

Ace: P(A) = 1/13 Qh: P(Qh₂/A₁) = 1/51 Ace,Queen(h) (1/13) x (1/51) = 1/663

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3 years ago

Is (-2,-6) a solution of y < 7x + 8?

mojhsa [17]

Answer:

not a solution

Step-by-step explanation:

y < 7x + 8

Substitute (2-,-6) into the inequality

-6 < 7(-2) +8

-6 <-14+8

-6 <-6

This is not true because they are equal not less than

6 0

3 years ago

Read 2 more answers

One bushel of apples weighs 22 kilograms. How many kilograms do 5.7 bushels weigh?

Solnce55 [7]

Answer:

125.4 kg

Step-by-step explanation:

I attached a picture of my work and I stuck it into my calculator to check it

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3 years ago