5) Find the equation gven<br> these two points:<br> What is the slope?<br> What is y-intercept?

Mick dropped 2 pennies and he had 7 how many does he have left

sesenic [268]

Answer:

5

Step-by-step explanation:

8 0

3 years ago

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Given the equation 6/x=3/k+2, and the constraints x ≠ 0 and k ≠-2, what is x in terms of k?

Veronika [31]

Answer:

A) 2k+4

Step-by-step explanation:

To solve for terms of x, we need to. she sure that x is on its own side while every other term is on the other side.

To start, we will cross multiply. If we have a/b=c/d, then ad=bc

We can perform the same calculation here,

6/x=3/(k+2)

6(k+2)=3x

Divide both sides by 3

2(k+2)=x

x=2k+4

7 0

3 years ago

A coordinate plane with a line passing through (negative 3, 2) and (0, 3)

Arturiano [62]

Let's check

$\\ \sf\longmapsto Slope=m=\dfrac{3-2}{0+3}=\dfrac{1}{3}$

Y intercept is 3✓

Now

let f(x) be y

$\\ \sf\longmapsto y=mx+b$

$\\ \sf\longmapsto y=\dfrac{1}{3}x+3=f(x)\checkmark$

5 0

2 years ago

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A car travels at constant speed for 7 days and covers 1500 miles. What is the speed in centimeters/minute? You may use the (appr

zvonat [6]

Answer:

Speed = 23809.52 cm/min

Step-by-step explanation:

Given : A car travels at constant speed for 7 days and covers 1500 miles.

To find : What is the speed in centimeters/minute

Solution : Formula to find speed is

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

Distance traveled = 1500 miles and time taken = 7 days

$\text{Speed}=\frac{\text{1500 miles}}{\text{7 days}}$

Now, we have to convert miles into centimeter and days into minutes.

1 day = 24 hours

1 hour= 60 minute

24 hr= 24×60 minute

1 day = 24×60 minute

7 days = 7×24×60 minute = 10,080 minute

Now, 1 mile = 8/5 km = 1.6 km

1 km= 100000 cm

1.6 km = 1.6 × 100000 cm

1 mile = 1.6 × 100000 cm

1500 miles = 1500×1.6 × 100000 cm = 240,000,000 cm

Put back the values into speed

$\text{Speed}=\frac{\text{1500 miles}}{\text{7 days}}$

$\text{Speed}=\frac{\text{240,000,000 cm}}{\text{10,080 minute}}$

$\text{Speed}=\text{23809.523 cm/minute}$

Therefore, speed = 23809.52 cm/min

3 0

3 years ago

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The expected number of typographical errors on a page of a certain magazine is .2. What is the probability that an article of 10

Pavel [41]

Answer:

a) The probability that an article of 10 pages contains 0 typographical errors is 0.8187.

b) The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.

Step-by-step explanation:

Given : The expected number of typographical errors on a page of a certain magazine is 0.2.

To find : What is the probability that an article of 10 pages contains

(a) 0 and (b) 2 or more typographical errors?

Solution :

Applying Poisson distribution,

$N\sim Pois(0.2)$

$P(N=r)=\frac{e^{-np}(np)^r}{r!}$

where, n is the number of words in a page

and p is the probability of every word with typographical errors.

Here, n=10 and E(N)=np=0.2

a) The probability that an article of 10 pages contains 0 typographical errors.

Substitute r=0 in formula,

$P(N=0)=\frac{e^{-0.2}(0.2)^0}{0!}$

$P(N=0)=\frac{e^{-0.2}}{1}$

$P(N=0)=e^{-0.2}$

$P(N=0)=0.8187$

The probability that an article of 10 pages contains 0 typographical errors is 0.8187.

b) The probability that an article of 10 pages contains 2 or more typographical errors.

Substitute $r\geq 2$ in formula,

$P(N\geq 2)=1-P(N$

$P(N\geq 2)=1-[P(N=0)+P(N=1)]$

$P(N\geq 2)=1-[\frac{e^{-0.2}(0.2)^0}{0!}+\frac{e^{-0.2}(0.2)^1}{1!}]$

$P(N\geq 2)=1-[e^{-0.2}+e^{-0.2}(0.2)]$

$P(N\geq 2)=1-[0.8187+0.1637]$

$P(N\geq 2)=1-0.9825$

$P(N\geq 2)=0.0175$

The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.

6 0

3 years ago

5) Find the equation gven these two points: What is the slope? What is y-intercept?