To find the slope of a line you only need two points. The first point is (x1,y1) and the second point is (x2,y2). The slope m is (y2-y1)/(x2-x1) = (10--10)/(-3--1)
= 20/ -2 = -10.
Answer: m = -10.

6 0

3 years ago

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Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. De

Gala2k [10]

Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable X represent the time a child spends waiting at for the bus as a school bus stop.

The random variable X is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is, $\lambda=\frac{1}{\mu}=\frac{1}{7}$ .

The probability density function of X is:

$f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0$

Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:

$P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx$

$=\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148$

Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

6 0

3 years ago

Hey guys I'm pretty sure I got the first two questions but if I didn't can you help me and I need help with the last two questio

Virty [35]

GOF = 62°
the adjacent angle i think is EOH

7 0

4 years ago

Pleaseeeeeeee helppppppp

oksano4ka [1.4K]

Answer:

y = -3x + 6

Step-by-step explanation:

We can first find the y intercept by looking at y when x = 0

y intercept = 6

We can then find the slope by looking at the patterns on the tables.

As we can see, the top row's pattern is +4 every time

The bottom row's pattern is -12

Slope = rise/run

-12/4 = -3

Therefore, the equation for the chart is y = -3x + 6

7 0

3 years ago