Question The average number of acres burned by forest and range fires in a county is 4,500 acres per year, with a standard deviation of 780 acres. The distribution of the number of acres burned is normal. What is the probability that between 3,000 and 4,800 acres will be burned in any given year? Round your answer to four decimal places. Provide your answer below:
Answer:
The probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6206
Step-by-step explanation:
Given
Mean = μ = 4500 acres
SD = σ = 780 Acres
Two data points between which the probability has to be calculated are:
3000 and 4800
x1 = 3000
x2 = 4800
z-score will be found for both data points
z-score is given by the formula
[tex]z = \frac{x-mean}{SD}[/tex]
The z-scores are:
[tex]z_1 = \frac{x_1-mean}{SD} = \frac{3000-4500}{780} = \frac{-1500}{780} = -1.92\\z_2 = \frac{x_2-mean}{SD} = \frac{4800-4500}{780} = \frac{300}{780} = 0.3846[/tex]
Now we have to find probabilities for both z-scores using the z-score table
[tex]P(z_1<-1.92) =0.02743\\P(z_2<0.3846)= 0.6480[/tex]
Now for the probability between both values
[tex]P(-1.92<z<0.3846) = P(z_2) - P(z_1) = 0.6480-0.02743 = 0.62057[/tex]
Rounding off to four decimal places
0.6206
Hence,
The probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6206
What is 65658 divided by 706? SHOW YOUR WORK!!
Answer:
the answer is 93
Step-by-step explanation:
i dont know how to explain it but just use a calculator.
What’s the answer for r
Answer:
can you show a picture :)
f(x)=2^x+1 and g(x)= f (x-3)
Enter the rule of function for g in the box
g (x) =
Please help it’s due
5 = 60
6 = 150
7 = 30
if you have any more questions let me know
Please i need help
A point on a wheel has a constant angular velocity of 3 rad/s. The angle turned through in 15 seconds is:
45 rad
10π
5 rad
90π rad
What division problem can be represented using the number line?
A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction.
Answer:its b
Step-by-step explanation:
edge 2020
Answer:its b
Step-by-step explanation:
HELP ME PLZZZZZZZZZZ I WILL GIVE MORE POINTS AT THE END
Answer: the answer is u [tex]\geq[/tex] 2
Question 3 of 10
Which of the following are trinomials?
A. 8x
B. 3y +5y2 + y
C. 6x2
D. x4 + x2 +1
E. x2 +3
F. x11
Answer:
So, only B and D are trinomials.
Step-by-step explanation:
A trinomial is an algebraic expression having three terms in it.
A. 8x
Not a trinomial because, it contains only one term.
B. 3y +5y2 + y
A trinomial because, it contains three terms.
C. 6x2
Not a trinomial because, it contains only one term.
D. x4 + x2 +1
A trinomial because, it contains three terms.
E. x2 +3
Not a trinomial because, it contains two terms only.
F. x11
Not a trinomial because, it contains only one term.
So, only B and D are trinomials.
Find the simple interest earned after 5 years on $800 at an interest rate of 9
Answer: It would be $1160
The library charged Monica $50 for a book that was 10 days overdue
A team of 5 students is chosen at random from 14 girls and 13 boys. Determine
in how many ways can the team be chosen if
a) there are no restrictions.
b) there must be more girls than boys.
Answer:
A)9687600
b)340704
Step-by-step explanation:
The midpoint of the segment joining (0,0) and (16, 16) is 8.
True or false?
Answer:
True
Step-by-step explanation:
If you look on a graph you can see that the midpoint of the segment is 8.
Hope this is right and helps!
Which algebraic expression is equivalent to the expression below?
(16x + 1) - 5x
A.
21x + 1
B.
16x + 4
C.
11x - 1
D.
11x + 1
Answer:
D
Step-by-step explanation:
(16x +1) -5x
you basically subtract the -5x from 16x
11x +1
HELPPPP PLEASEEE ASAPPPPP
Answer:
Step-by-step explanation:
PQRS
PQ + QR + RS + PS = 186
RS = SP - 7
PQ = RS = x - 7
QR = PS = x
2x + 2(x - 7) = 186
4x = 200
x = 50
PQ and RS = 43
QR and SP are 50
i will give the BRAINIEST
given g (x)= f (x)+k. Identify a value of k that transforms f into g. Round your answer to the nearest integer.
K= 5
Step-by-step explanation:
You must count the distance between so if you look at where it lines up perfect -3,0 up to 2 the distance is 5
Answer:
k = - 5Step-by-step explanation:
The slopes are same and y-intercepts are:
2 for f and -3 for gSince we have:
g(x) = f(x) + kWe can find the value of k:
-3 = 2 + kk = -3 - 2k = -5Answer is k = - 5
The length of a rectangle is four times its width. Twice the perimeter of that rectangle is 160 cm. Find
the length and width of that rectangle. pls answer fast
Answer:
Step-by-step explanation:
Given twice the perimeter of rectangle =160
Let width of the rectangle=X
So length of the rectangle =4x
2(perimeter of rectangle)=160
2[2(length+width)]=160
4(4x+x)=160
5x=160/4
5x=40
X=40/8
X=5cm
So length of the rectangle =4x
=20cm
Width of the rectangle =X
=5cm.
Length = 4*5 = 20 cm
Width. = 4 cm.
find the missing value for each of the following 3 questions
1. 5% of 60 is _____
2. 40% of 500 is _____
3. 75% of 60 is ______
Answer:
1. 3
2. 200
3. 45
Step-by-step explanation:
Which is not a true statement about 4x^2 + 5x - 1 ?
Answer:
ndidnfnfjkfnfb
Step-by-step explanation:
nxbcudnbdbdhdikd
Answer:
where is the statement
A small order of fries at Wendy’s has 90 more calories than the small order of fries at McDonald’s. If together they have 550 calories, how many calories are in the Wendy’s small order of fries?
Answer:
320 caloriesStep-by-step explanation:
Small order of fries at Wendy’s = x calories
Small order of fries at McDonald’s = y calories
x = y + 90x + y = 550Substitute x in the second equation
y + 90 + y = 5502y = 550 - 902y = 460y = 230Then, x is:
x = 230 + 90 = 320 caloriesANSWER PLEASE !!!!! I NEED IT NOW!!
The slope is the same as the unit rate and constant of a proportionality in a _______.
A. Prortional relationship
B. Slope
C. Rise
D. x2- x1
E. Run
F.y2 - y1
Answer:
I think the answer is B: Slope
Step-by-step explanation:
On a graph, proportional relationships are straight lines that extend through the origin. The relative steepness of the line is called slope; the slope of a graph is the same as the constant of proportionality of the equation.
Hope this helped, Have a Wonderful Day!!
The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ5
what is x?
6-4x=6x-8x-2
Answer:
x=4
Step-by-step explanation:
isolate the variable (x) by dividing each side by the factors that don't contain the variable
A developer has 7 1/2 acres of land to build houses on. If each house is to be built on -1/4 acre plot, how many houses can he build?
a 3
b 5
c 30
d 35
16. If there are 75 calories in 220 grams of an artificial sweetener, how many calories would be
in 484 grams of that same artificial sweetener?
d. 165 calories
a. 150 calories
b. 155 calories
c. 160 calories
Answer:
d. 165 calories
Step-by-step explanation:
First of all, we would find the amount of calories in 1 gram of the artificial sweetener
1 gram = 220/75
1 gram = 2.93 calories
Therefore, 484 grams has;
484 * 2.93 = 165.2
Approximately, this is equal to 165 calories.
Method 2
220 grams of the artificial sweetener has 75 calories.
484 grams of the artificial sweetener has x calories.
Translating the word problem into an algebraic equation, we have;
220 = 75
484 = x
Cross-multiplying, we have;
220x = 75*484
220x = 36300
x = 36300/220
x = 165 calories.
4 cups 6 fl oz - 2 cups 7 fl oz
Answer:
What's the question?
Step-by-step explanation:
Put it DB and I'll gladly answer!
The Los Angeles area experiences many earthquakes. In 1994, the Northridge earthquake measured 6.7 on the Richter scale. In 2014, Los Angeles experienced an earthquake that measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answer:
[tex]I_1=40I_2[/tex]
Step-by-step explanation:
[tex]M_1[/tex] = Magnitude of 1994 earthquake = 6.7
[tex]M_2[/tex] = Magnitude of 2014 earthquake = 5.1
[tex]I_1[/tex] = Intensity of 1994 earthquake
[tex]I_2[/tex] = Intensity of 2014 earthquake
[tex]I_0[/tex] = Zero-level earthquake the same distance from the epicenter = 0.001 mm
Magnitude is given by
[tex]M_1=\log(\dfrac{I_1}{I_0})\\\Rightarrow I_010^{M_1}=I_1\\\Rightarrow I_1=I_010^{6.7}[/tex]
[tex]M_2=\log(\dfrac{I_2}{I_0})\\\Rightarrow I_010^{M_2}=I_2\\\Rightarrow I_2=I_010^{5.1}[/tex]
Dividing the above intensities with each other we get
[tex]\dfrac{I_1}{I_2}=\dfrac{I_010^{6.7}}{I_010^{5.1}}\\\Rightarrow \dfrac{I_1}{I_2}=39.81\approx 40\\\Rightarrow I_1=40I_2[/tex]
The intensity of the earthquake in 1994 was 40 times stronger than the earthquake in 2014.
What are 25 times by the same number then divide it by sixty
Calculate 21+23+25...+81
Answer:
150
Step-by-step explanation:
Have a great night. ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
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︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
Candace bought 14 sacks of dog food to share equally among three dog shelters. How much dog food does each shelter get?
Answer:
4 sacks
Step-by-step explanation: