Paula bought 2 video games and a $15 iTunes gift card her total bill was 28.50 write an equation to represent what she purchased

Help please fast the format is Y-____=_____(x - ____) and i need the actual answer

mojhsa [17]

9514 1404 393

Answer:

y -195 = 15(x -9)
$60

Step-by-step explanation:

The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:

y -k = m(x -h) . . . . . line with slope m through point (h, k)

Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...

y -195 = 15(x -9)

__

The "one-time fee" is the cost when hours are zero.

y -195 = 15(0 -9)

y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate

The one-time fee is $60.

5 0

3 years ago

2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.

Setler [38]

answer: 9

Step-by-step explanation:

x = - 4; y = 3; z = 2;2 x² - 2 z^4 + y² - x² + z^4 = = 2 * (-4)² - 2 * 2^4 + 3² - ( -4)² + 2^4 == 2 * 16 - 2 * 16 + 9 - 16 + 16 = = 32 - 32 + 9 - 16 + 16 = 9

5 0

3 years ago

6x+7=8x17 prove x=12

Sophie [7]

6x + 7 = 8x - 17
6x- 8x = -17 - 7
-2x = -24 • divide both sides by -2
Thefore x = 12

7 0

3 years ago

According to Harper's Index, 55% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates

Salsk061 [2.6K]

Answer:

a) $P(X\geq 11) = 0.198$

b) $P(X\leq 2) = 0.000565$

c) Mean = 8.8

Step-by-step explanation:

1) Previous concepts

Binomial Distribution is a "discrete probability distribution which is used to calculate the probabilities for the independent trials and for each trial there is only two outcomes success or failure and probability for each success remains constant throughout each trial".

The Binomial distribution is a type of Bernoulli experiment with following properties:

a)There are two possible outcomes; success or failure.

b) Outcomes are independent on preceding result of a trial.

c) The probability of success remains constant throughout the experiment.

d)The number of successes are fixed.

The probability mass function for the Binomial distribution is given by:

$P(X=a)=(nCa)(p)^x (1-p)^{n-x}$

Where $p$ is the probability of success, n the number of trials and x the number of successes that we want on the n trials.

$X$ represent the number federal inmates that are serving time for drug dealing

$p=0.55$ represent the proportion of federal inmates that are serving time for drug dealing

$n=16$ random sample selected

2) Part a

The random variable X follows this distribution $X \sim Binom(n,p)$

On this case we want the following probability, and since says greater or equal than 11 we can express like this:

$P(X \geq 11)=P(X=11)+P(x=12)+P(x=13)+P(x=14)+P(x=15)+P(x=16)$

$P(X=11)=(16C11)(0.55)^{11} (1-0.55)^{5} =0.112$

$P(X=12)=(16C12)(0.55)^{12} (1-0.55)^{4} =0.0572$

$P(X=13)=(16C13)(0.55)^{13} (1-0.55)^{3} =0.0215$

$P(X=14)=(16C14)(0.55)^{14} (1-0.55)^{2} =0.00563$

$P(X=15)=(16C15)(0.55)^{15} (1-0.55)^{1} =0.000918$

$P(X=16)=(16C16)(0.55)^{16} (1-0.55)^{0} =0.00007011$

$P(X \geq 11)=0.112+0.0572+0.0215+0.00563+0.000918+0.00007011=0.198$

3) Part b

$P(X \leq 2)=P(X=0)+P(x=1)+P(x=2)$

$P(X=0)=(16C0)(0.55)^{0} (1-0.55)^{16} =0.00000283$

$P(X=1)=(16C1)(0.55)^{1} (1-0.55)^{15} =0.0000552$

$P(X=2)=(16C2)(0.55)^{2} (1-0.55)^{14} =0.000507$

$P(X \leq 2)=0.00000283+0.0000552+0.000507=0.000565$

4) Part c

The expected value for the binomial distribution is given by the following formula:

$E(X)=np=16*0.55=8.8$

So then the average number of federal inmates that are serving time for drug dealing on a sample of 16 is approximately 9.

5 0

3 years ago

What is the quotient (125 – 8x3) ÷ (25 + 10x + 4x2)?<br> –2x + 5<br> 2x – 5<br> –2x – 5<br> 2x + 5

Anit [1.1K]

For this case we have the following expression:

$\frac{125-8x^3}{25+10x+4x^2}$

Factoring the numerator we have:

$\frac{-(2x+5)(4x^2+10x+25)}{25+10x+4x^2}$

Rewriting the denominator we have:

$\frac{-(2x+5)(4x^2+10x+25)}{4x^2+10x+25}$

Canceling similar terms we have:

$-(2x+5)$

$-2x-5$

Answer:

The quotient of the division is given by:

$-2x-5$

4 0

3 years ago

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