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Gala2k [10]
2 years ago
14

A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that

represents the hours volunteers work at the shelter each week. Describe the key features of the functions that are needed to determine if these lines intersect. WILL MARK BRAINLIST
Mathematics
1 answer:
melomori [17]2 years ago
5 0

Answer: y-y1=m(x-x1)

Step-by-step explanation:

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The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probabi
katrin [286]

Answer:

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Step-by-step explanation:

Using Poisson distribution  where

t= number of units of time

x= number of occurrences in t units of time

λ= average number of occurrences per unit of time

P(x;λt) = e raise to power (-λt)  multiplied by λtˣ divided by x!

here λt = 25

x= 30

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E= exponent)

P (x=30) = 1.204 E31/30!

Solving it with a statistical calculator would give

P (x=30) = 0.0454

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

7 0
2 years ago
Find the value of w and YZ if Y is between X and Z. <br>XY = 4w YZ = 6W XZ = 12w - 8​
yulyashka [42]

Answer:

w = 4

YZ = 24

Step-by-step explanation:

Since, Y is a point lying between the points X and Z.

Therefore, relationship between the lengths of the segments will be,

length of segment XZ = length of XY + length of YZ

It's given in the question,

XZ = 12w - 8

YZ = 6w

XY = 4w

By substituting these values in the relation,

12w - 8 = 4w + 6w

12w - 8 = 10w

12w = 10w + 8

12w - 10w = 8

2w = 8

w = 4

Since, YZ = 6w

Therefore, YZ = 24

8 0
2 years ago
At the rate of $2.00 per square foot the cost of painting the rectangular board with a semicircular top shown in the figure is $
Elenna [48]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.
<span> 
it consists of a rectangle, dimensions  L = 4ft and W = 3ft = Ar = 4ft x 3ft = 12 ft^2

</span>then, you have one half of the area of the circle that has diameter  R = 3ft - radius will be r = 1.5ft the area of that half will be:

Ac = r^2 \pi/ 2
= (1.5 ft)^2 x 3.14 / 2
= 2.25 ft^2 x 3.4/2 
= 7.065 ft^2/ 2 
= 3.5325ft^2

A = Ar + Ac
A = 12ft^2 + 3.5325ft^2
A = 15.5325ft^2

<span>At the rate of $2 per square foot, the cost will be: 
$ 15.5325*2 = 31.07 </span>
5 0
2 years ago
Read 2 more answers
Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that the integer chosen is divisibl
MAVERICK [17]
There are a total of 30 integers and 10 of these are divisible by 3 (3, 6, 9, 12, 15, 18, 21, 24, 27, and 30). So the probability of getting an integer divisible by 3 is \frac{10}{30} = 1/3. The answer is letter C.
4 0
2 years ago
Solve the inequality 6h−5(h−1)≤7h−11 and write the solution in interval notation. Use improper fractions if necessary.
Kobotan [32]

Answer:

h \geq 2\frac{2}[3}

Step-by-step explanation:

We solve the inequality similarly to how we would solve an equalitu.

6h - 5(h-1) \leq 7h - 11

6h - 5h + 5 \leq 7h - 11

h - 7h \leq -11 - 5/

-6h \leq -16

Multiplying everything by -1

6h \geq 16

Simplifying by 2

3h \geq 8

h \geq \frac{8}{3}

8 divided by 3 is 2 with rest two. So as a improper fraction, the answer is:

h \geq 2\frac{2}[3}

6 0
2 years ago
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