Answer:
y=x+10
Step-by-step explanation:
y=mx+b
y=1x+b
1 because for every 10 it goes to the right, it goes up 10 as well.
b=10 because the function crosses the y-axis at 10
so
y=x+10
Hailey's car used 4 gallons to travel 172 miles. At what rate does the car use gas, in miles per gallon?
Answer:
43
Step-by-step explanation:
43 miles for every 1 gallon of gas
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.3 per year. a. Find the probability that in a year, there will be 3 hurricanes. b. in a 45-year period, how many years are expected to have 3 hurricanes ? c. How does the result from part (b) compare to a recent period of 45 years in which 5 years had 3 hurricanes? Does the Poisson distribution work well here?
Answer:
a) 0.12386 = 12.386% probability that in a year, there will be 3 hurricanes.
b) 5.57 years are expected to have 3 hurricanes, that is, between 5 and 6 years.
c) 5 years is very close to the mean of 5.57, which means that the Poisson distribution works well here.
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:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
The mean number of hurricanes in a certain area is 5.3 per year.
This means that [tex]\mu = 5.3[/tex]
a. Find the probability that in a year, there will be 3 hurricanes.
This is P(X = 3).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = x) = \frac{e^{-5.3}*5.3^{3}}{(3)!} = 0.12386[/tex]
0.12386 = 12.386% probability that in a year, there will be 3 hurricanes.
b. in a 45-year period, how many years are expected to have 3 hurricanes ?
0.12386 each year. So, for 45 years:
45*0.12386 = 5.57
5.57 years are expected to have 3 hurricanes, that is, between 5 and 6 years.
c. How does the result from part (b) compare to a recent period of 45 years in which 5 years had 3 hurricanes? Does the Poisson distribution work well here?
5 years is very close to the mean of 5.57, which means that the Poisson distribution works well here.
please please please help!!!!!! i will give brainliest!!
Answer:
Step-by-step explanation:
find the circumference of a circle with an area of 1,134.11
Step-by-step explanation:
C≈3.54
Using the formulas
A=πr2
C=2πr
Solving for C
C=2πA=2·π·1≈3.54491
if 2x-1 is a factor of 16x^4-24x^3+2x+f find f
Answer: HERE HOPE IT HELPS
Step-by-step explanation:
Mrs. A has 76 wonderful seventh graders that she teaches this year. She took a random survey of 20 students and
found that seven students like twizzlers, 12 like jolly ranchers, and one does not eat sweets. pls help meh
Answer:
what kind of a question is this? lol. seems liek u need to subtract those 20 students from 70. im not sure wat ur askin but here. try this.
WHAT IS THE QUESTION??? im confused. welp.
If m = 27 and n = 4, what is the value of the following expression?
Answer:
2
Step-by-step explanation:
m - 5 • n + 5
plug it in
27- 5 * 4+5
well, we gotta follow PEMDAS (there are no parentheses)
5*4
20
now we have
27-20+5
20+5
25
27-25
2
Find the slope of the line that passes through (9, 6) and (6, 2).
Answer:
4/3 not sure
i hope its hepls
Answer:
y2 - y1/ x2 - x1
6 - 6/2 - 6 = 0/-4 = 0
Step-by-step explanation:
X+ 10 = 7
what is the solution to this question
Answer:=−3
Step-by-step explanation:
+10=7
+10−10=7−10
12 degrees below 0 celsius
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer.....
12 degrees below 0 means -12 Degrees
hope it helps you,
Follow me!
10(1+3d)=-20
step by step pls
Answer:
d=-1
Step-by-step explanation:
10(1+3d)= -20
divide both sides by 10
1+3d=-2
move the costant to the right, change the sign
3d=-2-1
caclulate
3d=-3
divide both sides by 3
d=-1
What is the area of this trapezoid b1=6 h=5 b2=2
Seventeen is eight more than three times a number. Write this equation.
Answer:
17 = 3x+8
Step-by-step explanation:
I got 18 can someone double check me please?
Answer:
It's correct, it is 18 because ur adding
Answer:
28!
Step-by-step explanation:
this is because its 8 + 8 + 6 + 6 = 28. They're asking to add the outline of the perimeter.The perimeter is the length of the outline of a shape.
WILL GIVE BRAINLIEST
Answer: i think its b
Step-by-step explanation:
Help The sum of two integers is 10. Their difference is 4.
What are the two integers?
Answer:
7 and 3
Step-by-step explanation:
A playground is shown below. What is the area of the playground?
Answer:
217
Step-by-step explanation:
You would do the area of the big rectangle and subtract the areas of the two triangles. The triangles add up to 63 and the rectangle is 280 ft^2
What is the answer
7(2m+5)
Answer:
14m+35 is your answer ☺️☺️☺️
Answer:
14m+35
Step-by-step explanation:
7(2m+5)
7(2m)+7(5)
14m+35
consider the enlargement of the pentagon
what is the value of x, rounded to the nearest tenth?
a. 2.1 centimeters
b. 3.3 centimeters
c. 7.0 centimeters
d. 15.0 centimeters
Answer:
b. 3.3 centimeters
Step-by-step explanation:
[tex]\frac{7}{x} =\frac{15}{7} \\\\15x = 49\\x=3.3[/tex]
Plz help ASAP I BEEN ASKING SO MANY TIME BUT NOBODY HELP ME HELPP. Plz i been on this for 3 hours
Answer:
b, d, and e
Step-by-step explanation:
those are the three answers
Answer:
I would say b d and e to
Step-by-step explanation:
hope that helps
Students picked 144 ounces of strawberries to make strawberry jam. How many pounds of strawberries did they pick
Answer:
9 pounds
Step-by-step explanation:
I converted it
What is it help me plz
Answer:
the answer is c. the mode is w
In HIJ, the measure of angle J=90 degrees, the measure of angle H=8 degrees, and HI=30 feet. Find the length of IJ to the nearest tenth of a foot.
Answer:4.2
Step-by-step explanation:
simplifying 14 to the 0 power + 2 to the 7th power plus 15 to the 1 power?
Answer:
144
Step-by-step explanation:
1+128+15
144
it’s either ur good at math or pretty I guess god said be pretty
Answer:
55
Step-by-step explanation:
9x + 1 = 7x + 13
x = 6
UW = 42+13
= 55
The two triangles are of congruent (SAS)
A magician's stage has a rectangular trapdoor whose width is (x+1/2) feet and whose length is 2x feet. The area of the trapdoor is 10 square feet. What is the value of x ?
Answer: x = 2 , − 2.5
Gabriel is signing up for a gym membership with a one time free join and then a monthly fee to remain a member. The monthly fee is $40 and the one time joining fee is $100. Write an equation for C, in terms of t, representing the total cost of the gym membership over t months
-2(x + 2) =
Please help
Answer:
-2x - 4
Step-by-step explanation:
Is your expression
-2 x x = -2x
-2 x 2 = 4
therefore, your expression would be:
-2x - 4
Answer:
-2(x + 2)= -2x - 4
Step-by-step explanation:
What is the difference of the polynomials:
(3x2 + 4x + 8) - (2x2 + 2x + 5)
a x^2 + 2x + 3
b x^2 + 6x + 3
c x^4 + 2x^2 + 3
d x^4 + 6x^2 + 13
Answer:
(6+4x+8)-4-2x-5
6-4+4x-2x+8-5
2+2x+3.
linda bought 1 shirt and 2 ties at the same store. What is the total price, in dollars and cents, of Linda's purchase?