All categories

3 years ago

Line A passes through the points (4, 9) and (12, 23). Line B passes through the points (0, 2)

Mathematics

1 answer:

rusak2 [61]3 years ago

3 0

Answer:

the lines interesect at (4,5)

Step-by-step explanation:

So you have to find the gradient between all the coordinates then you have to find the mean of all the answers you get and work your way from there.

Hope this helps :)

You might be interested in

What is 100000+304787/ 5+76746=??

VARVARA [1.3K]

6 0

3 years ago

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

Karolina [17]

Answer:

0.685 = 68.5% probability that X is less than 30 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

If X has an average value of 26 minutes

This means that $m = 26, \mu = \frac{1}{26}$

What is the probability that X is less than 30 minutes?

$P(X \leq 30) = 1 - e^{-\frac{30}{26}} = 0.685$

0.685 = 68.5% probability that X is less than 30 minutes

8 0

3 years ago

One lap around a track is equal to one-fourth of a mile. A horse ran a distance of 9 laps in 2 minutes and 30 seconds. What was

Ket [755]

One lap is .25 miles. so 9 laps would be 2.25 miles in 2.5 minutes. miles/minute is what we are trying to find. it is exactly what it looks like the amount of miles divided bye he amount of minutes, so 2.25/2.5 ur answer is 0.9 miles/minute

4 0

3 years ago

How do i find the antiderivative of sin^2(x, cos^2(x and tan^2(x? i know how to antidifferentiate sinx, cosx, and tanx, but thes

Lena [83]

For $\sin^2x$ and $\cos^2x$ , it's helpful to remember the half-angle identities:

$\sin^2x=\dfrac{1-\cos2x}2$
$\cos^2x=\dfrac{1+\cos2x}2$

So

$\displaystyle\int\sin^2x\,\mathrm dx=\frac12\int(1-\cos2x)\,\mathrm dx=\frac x2-\frac{\sin2x}4=C$
$\displaystyle\int\cos^2x\,\mathrm dx=\frac12\int(1+\cos2x)\,\mathrm dx=\frac x2+\frac{\sin2x}4=C$

For $\tan^2x$ , the Pythagorean identity suffices:

$\sin^2x+\cos^2x=1\implies \tan^2x+1=\sec^2x$

which means

$\displaystyle\int\tan^2x\,\mathrm dx=\int(\sec^2x-1)\,\mathrm dx=\tan x-x+C$

since $\dfrac{\mathrm d}{\mathrm dx}\tan x=\sec^2x$ .

4 0

3 years ago

12(2w-3)=6w simplify.

RSB [31]

Answer:

w = 2

Step-by-step explanation:

3 0

3 years ago