Find all possible values for the variables. complete two of the three problems

Write an expression for the # of feet in x inches

disa [49]

There are 12 inches in a foot, so there should be 1/12 feet in an inch.
The expression should be x/12.

6 0

4 years ago

Hope Amelia Solo, the American soccer goalkeeper, World Cup champion and two-time Olympic gold medalist, allows goals at a rate

Nuetrik [128]

Answer:

3.70% probability she allows more than one goal

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

X~Pois(0.3)

This means that $\mu = 0.3$

In her next match, what is the probability she allows more than one goal?

Either she allows at most one goal, or she allows more than one goal. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 1) + P(X > 1) = 1$

We want $P(X > 1)$ . So

$P(X > 1) = 1 - P(X \leq 1)$

In which

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

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.3}*(0.3)^{0}}{(0)!} = 0.7408$

$P(X = 1) = \frac{e^{-0.3}*(0.3)^{1}}{(1)!} = 0.2222$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.7408 + 0.2222 = 0.9630$

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.9630 = 0.0370$

3.70% probability she allows more than one goal

3 0

3 years ago

If a vertical line passes through a graph only once the relation is considered to be a function. True or false?

kotykmax [81]

This is True -----------

6 0

3 years ago

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I need help answering these questions. I have been having some trouble in math lately, It just has not seemed to be interesting

wolverine [178]

1)
A)
f(x) has a slope of +5 (change with each x step), g(x) of +2 (m of y=mx+b), so f(x) rises 2.5 times faster than g(x)
B)
y intercepts are at x=0
f(x) has its intercept at -10
for g(x) it is the b value of y=mx+b, so 8
so the g(x) intercept is greater/above the one of f(x)

2)
A)
y intercept is at x=0 -> 12

When we started measuring the bird was already 12 miles away from its nest.
B)
average rate=(f(3)-f(1))/(3-1)
=16/2=8 [mph]
The bird moved on average with a speed of 8mph away from the nest.
C)
f(x)=8x+12

insert the 172 miles distance:
172=8x+12
160=8x
20=x

so after 20 hours it would be at a distance of 172 miles
this means we know the value from x=0 to 20 so its domain is/it is defined for x values of [0,20]

3)
A)
f(2)=225
f(5)=480

calculate slope m:
m=(f(5)-f(2))/(5-2)=(480-225)/3=255/3=85$/day

b=f(0)=f(2)-2*m=225-2*85=55
y=85x+55
B)
f(x)=85x+55

C)
Your x label is the amount of days rented, the y label the total cost/rent to pay, because y has larger values decide on some scale and the range of x values you want to draw, which should be x>=0.

Draw the points which were given, (2,225) and (5,480) and draw a line through them from one end of the diagram to the other.

5 0

4 years ago

What is the length of the segment joining the points at (−4, 1) and (3, 7)? Round to the nearest tenth if necessary. Enter your

tiny-mole [99]

Answer:

Image result for length of the segment

The length of this line segment is the distance between its endpoints A and B.

Step-by-step explanation:

7 0

3 years ago

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