Given the following which is the mean and standard deviation of the dune’s movement over one year and need to find out what the ten year mean and the standard deviation will be.
The ten-year mean is ten times the one year mean or 110 feet per decade. The ten-year standard deviation is somewhat more complicated. Multiple independent trials accumulate standard deviation as the square root of the number of trials since an unusually high level of movement ten years in a row. The decade is going to be 2 feet per year x square root of ten will result to 6.32 feet.
The answer will to question A. will be:
90 < 110 + z (6.32 feet)
-20 < z (6.32 feet)
z > - 3.16
By using the z table, it shows the probability of 0.9992. This result shows that as 90 feet is lesser than the mean travel that is expected over decade.
To find the probability that a sand dune moves more than 90 feet in 7 years, one must calculate a z-score using the mean annual movement, standard deviation, and the 7-year period, then find the corresponding probability in a standard normal distribution table or calculator.
Explanation:The question involves calculating the probability that a random variable, X, will exceed a certain value over a period using the normal distribution. The random variable X in this context represents the movement of sand dunes per year, which is assumed to be normally distributed with mean (μ) of 11 feet per year and a standard deviation (σ) of 2 feet per year.
To find the probability of the dune moving more than 90 feet in 7 years, we first calculate the mean movement for 7 years, which is 7 × μ = 7 × 11 feet = 77 feet. Next, we calculate how much more than 77 feet does 90 feet represent. This difference is 90 - 77 = 13 feet. Then, we standardize this difference by dividing by the standard deviation over the square root of 7 years to get the z-score:
Z = (90 - 7×11) / (σ × √7) = (90 - 77) / (2 × √7) = 13 / (2 × √7)
The z-score helps us find the probability that X is more than the calculated mean for 7 years. We look up this z-score in the standard normal distribution table or use a calculator to find the probability that corresponds to this z-score. This gives us the probability that a dune will move more than 90 feet in 7 years. The answer should be rounded to four decimal places as per the instruction in the question.
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Stumped on how to solve this one! The numbers just aren't making sense to me
30 = 3/5
so 1/5 = 10 miles
there are 20/5 in 4 inches
10*20 = 200
they are 200 miles apart
f(x) = 7x − 13. Find f−1(x).
Evaluate for C=3 and d=-5
(3c^2-3d)^2-1000
alicia bough 3.8 pounds of cashews for 15.74 about how much was cost per pound
A rope stretches directly depending on the load it must carry. If a load of 8 pounds stretches the rope 9.6 inches, the constant of proportionality is equal to:
8(9.6)
8/9.6
9.6/8
"Our proportionality constant would be how much the rope stretches versus the weight being hung. This is set up by simply dividing the two numbers.
9.6 inches / 8 pounds
or for every pound hung, it will stretch 1.2 inches so we know if it stretches 6 inches, we can set up an equation 6 inches = 1.2 [inches/pound] * pounds solve for weight to get 5 pounds being hung from the rope."
Answer: 9.6 inches / 8 pounds
Step-by-step explanation: I got it right
The sum of the components of anything equals the whole thing. Which property/postulate does this statement represent?
I REALY NEED HELP!
A number line contains points Q, R, S, and T. Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42. Find the probability that a point chosen at random on QT is on ST. Express your answer as a percent.
25%
42.2%
50%
72.2%
Answer:
The correct option is 4.
Step-by-step explanation:
It is given that Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42.
Total numbers lie on line QT is
[tex]42-24=18[/tex]
The numbers lie on line ST is
[tex]42-29=13[/tex]
The probability that a point chosen at random on QT is on ST is
[tex]P=\frac{\text{The numbers lie on line ST}}{\text{Total numbers lie on line QT}}\times 100[/tex]
[tex]P=\frac{13}{18}}\times 100[/tex]
[tex]P=72.222\approx 72.2\%[/tex]
The probability that a point chosen at random on QT is on ST is 72.2%. Therefore option 4 is correct.
A cable is 7.1m long. How long is the cable in decimeters?
Find an explicit formula for the arithmetic sequence -11,-3,5,13,...
Evaluate ab for a = 2 3/4 and b = 4/5
sum of 6 divided by a number and that number divided by 6
Sara used 3/4 pound of blueberries to make 1/2 cup of jam how many pounds of blueberries would she need to. make a cup of jam
she used 3/4 pound for 1/2 cup
so multiply 3/4 pounds for 1 cup
3/4 x 2 = 1 1/2 pounds
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve the following quadratic equation. 3(x + 5)2 = 60
Solve the equation
-3x+1+10x=x+4
Using Pythagorean inequalities, determine which set of the given three sides produces an obtuse triangle. A. 4, 5, 6 B. 5, 13, 19 C. 12, 14, 25 D. 21, 72, 75
Answer:
Obtuse triangle sets
B. 5, 13, 19
C. 12, 14, 25
Step-by-step explanation:
The Pythagorean inequality for the sides of the triangle to be an obtuse:
[tex]a^2 + b^2 < c^2[/tex], where a, b and c are the sides of the triangle.
The other Pythagorean inequalities are:
[tex]a^2 + b^2 > c^2[/tex], for Acute triangle
[tex]a^2 + b^2 = c^2[/tex], for Right triangle
Now let's check which set of the given sets satisfy the above inequality.
Option A
4, 5, 6
Here a = 4, b = 5 and c = 6
[tex]4^2 + 5^2 < 6^2\\16 + 25 < 36\\41 < 36\\[/tex]
Which is not true.
Here [tex]a^2 + b^2 > c^2[/tex], So this is Acute triangle
Option B
5, 13, 19
Here a = 5, b = 13 and c = 19
[tex]5^2 + 13^2 < 19^2\\25 + 169 < 361\\194 < 361\\[/tex]
Which is true. This is Obtuse triangle
Option C
Here a = 12, b = 14 and c = 25
[tex]12^2 + 14^2 < 25^2\\144 + 196 < 625\\340 < 625\\[/tex]
Which is true. This is obtuse triangle.
Option D
Here a = 21, b = 72 and c = 75
[tex]21^2 + 72^2 < 75^2\\441 + 5184 < 5625\\5625 < 5625\\[/tex]
Which is not true for obtuse.
Here [tex]a^2 + b^2 = c^2[/tex], for Right triangle
So this is Right triangle.
Answer:
c
Step-by-step explanation:
just did it
Describe how to model -3x + 7=28 with algebra tiles
The point (0, 2) is the only solution to the system of linear equations that contains the equations
y = x + 2 and y = -3x + 2. Choose the term that describes the set of equations.
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1) A dealer sold 112 cars during the month of May and 96 during the month of June. What was the percentage of the decrease?
2) At an evening performance, 85% of the seats in a movie house was occupied. If 34 people attended this performance, what was the seating capacity of the movie house?
3) A merchant sold articles of clothing at 140% of what he paid for them. What did he pay for an article that he sold for $84?
4) A family spent 486 a week for food. This was 20% of its weekly income. What was its weekly income?
5) An agent sold 250 boxes of apples at $6.50 each. He charged a commission of 5%. What was his commission?
6) At the rate of $0.80 per $100, how much does it cost to insure a car against fire and theft for $1,650?
Answer this question, me and my partner have no idea what to do I'm very confused
Which expression is equivalent to 17x − 8x + 2 and why?
2 − 9x, because (17x − 8x) + 2 = −9x + 2 = 2 − 9x
2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x
11x, because 17x − 8x + 2 = 9x + 2 = 11x
7x, because 17x − 8x + 2 = 17x − 10x = 7x
Answer:
2 + 9x, beacuse (17x - 8x) + 2 = 9x+2
Step-by-step explanation:
Combine like Terms: 17x - 8x + 2=
9x+2
what is 9 hours from now
The perimeter of the following rectangle is 40 inches. What is the length of w?
Bottom: 14 in.
Side: Unknown
2.9 in.
6 in.
12 in.
26 in.
6 inches is the answer
P= 2( L+W)
Answer: 6 inches
Step-by-step explanation:
Given: The perimeter of the rectangle = 40 inches
Let the unknown side be w.
And the bottom side l=14 in.
We know that the perimeter of rectangle is given by :-
[tex]\text{Perimeter}=2(l+w)\\\Rightarrow40=2(14+w)\\\Rightarrow\frac{40}{2}=14+w\\\\Rightarrow20=14+w\\\Rightarrow\ w=20-14)\\\Rightarrow w=6\ in.[/tex]
Hence, the the length of w = 6 inches.
Halle has 36 feathers, 48 acorns, and 60 agates. She wants to put all of these items into bowls with the same number of feathers, acorns, and agates in each bowl and none left out. What is the maximum number of bowls she can put the items into?
48-36 =12
60-48=12
36/12 =3
48/12=4
60/12=5
the maximum number of bowls is 12
Answer:
12
Step-by-step explanation:
A number is multiplied by 2, and then the product is added to 9. The result is 49.
A window has the shape of a rectangle with a semi circle at the top. Find the approximate area of the window using the dimensions shown.
2ft by 4ft
The approximate area of the window is 9.57 ft²
The figure is a composite shape. Therefore, the area can be described as follows:
Area of the composite shape:area = area of semi circle + rectanglearea of a rectangle = lw = 4 × 2 = 8 ft²
area of the semi circle = 1 / 2 πr² = 1 / 2 × π × 1² = 1.57 ft²
Therefore,
area of the window = 8 + 1.57 = 9.57 ft²
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help What is the length of the unknown leg in the right triangle?
Robert buys 3 pounds of bananas at $0.50 per pound and 3 pounds of apples at $1.00 per pound. Which of the following expressions represents the total cost of the fruit he bought (in dollars
Answer:
The answer is $3(0.50+1.00)
Step-by-step explanation:
Robert bought 3 pounds of bananas at $0.50 per pound which can be expressed as:
[tex]3*0.50[/tex]
And 3 pounds of apples at $1.00 per pound which can be expressed as:
[tex]3*1.00[/tex]
As Robert bought the apples and bananas, you can add both expressions:
[tex]3*0.50 + 3*1.00[/tex]
This expression can be factorized as:
[tex]3(0.50+1.00)[/tex]
or
[tex]3(1.50)[/tex]
Both expressions will give you the same result, which is $4.50.
A baker uses 5.5 lb of flour daily how many ounces of flour will he use in two weeks
1 pound = 16 ounces
16 * 5.5 = 88 ounces per day
88*7 = 616 ounces per week
616 * 2 = 1232 ounces in 2 weeks
A fabric store has 80 3/8 yards of a particular fabric. About how many pairs of curtains could be made from this fabric if each pair requires 4 1/8 yards of fabric? But My Answers are 20,25,15,and 30 Please Help Me?
Is 7040 yards more than or less then 4 miles