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3 years ago

What is the slope and y-intercept of x/3= -y+2 and how?????

1 answer:

6 0

Subtract 2 from both sides

then you get -y equals 1/3x -2 so you have to flip the sign of the entire equation because you can’t have a negative line

so you get y = -1/3x + 2

the y-intercept is (0,2)

the slope is -1/3x (aka -x/3)

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The price of a DVD is $19 . The price is 12% lower than last week. What was the price of the DVD last week? Round your answer to

nataly862011 [7]

Answer:

The original cost of the DVD was $21`.59

Step-by-step explanation:

In order to find this, you first must note that the new price is 88% of the older price. We get this since there was a subtraction of 12%.

Now knowing that, we can divide the new price by the percentage paid and it will give us the original price.

$19/88% = Original Cost

19/.88 = Original Cost

$21.59 = Original Cost

5 0

3 years ago

Solve the following inequality for h. Write your answer in simplest form. -10h+1>-7h+9

emmasim [6.3K]

Answer:

h<-8/3

Step-by-step explanation:

collect like terms

-10h+7h>9-1

3h>8

divide both sides of the inequality by -3 and flip the inequality sign

h<-8/3

4 0

3 years ago

You deposit $ 1200 in an account. The annual interest rate is 3%. How long will it take you to earn $108 in simple interest?

alukav5142 [94]

The correct answer is 3

5 0

4 years ago

The table shows ordered pairs of the function y=8-2x. What is the value of y when x=8

kakasveta [241]

The value is 2+3 hope this helps ok good not luck

8 0

3 years ago

Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask

Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

$P(x=r)=^nC_r p^r q^{n-r}$

Where, $^nC_r=\frac{n!}{r!(n-r)!}$

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

$P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}$

$=56(0.4)^5 (0.6)^3$

$=0.12386304$

(b) the probability of the number that say they would feel secure is more than five

$P(X>5) = P(X=6)+ P(X=7) + P(X=8)$

$=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}$

$=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8$

$=0.04980736$

(c) the probability of the number that say they would feel secure is at most five

$P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)$

$=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}$

$=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3$

$=0.95019264$

8 0

3 years ago