Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received 5 fewer cookies than she would have received had all of the cookies been evenly divided among the h grandchildren.
How many cookies did Cindy receive?
Write your answer as an expression.
et x be a random variable representing movement (in feet per year) of such sand dunes (measured from the crest of the dune). Let us assume that x has a normal distribution with μ = 11 feet per year and σ = 2 feet per year. Under the influence of prevailing wind patterns, what is the probability of each of the following? (Round your answers to four decimal places.) (a) an escape dune will move a total distance of more than 90 feet in 7 years
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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-0.09 as a fraction , but the 09 is repeating
NEED HELP FAST!!!
2.
Two lines, C and D, are represented by the equations given below:
Line C: y = x + 10
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why? (5 points)
(5, 17), because one of the lines passes through this point
(5, 17), because the point lies between the two axes
(4, 14), because the point does not lie on any axis
(4, 14), because both lines pass through this point
Answer:
answer D
Step-by-step explanation:
1) Lee y plantea una ecuación que sea útil para resolver cada ecuación.
a. El perímetro de un jardín rectangular es de 58 m. Si el lado mayor mide 11 m mas que el lado menor.¿Cuanto mide los lados del jardín?
Silvia e Rebecca acquistano on line 10 cubi di polistirolo da rivestire di stoffa.Le dimensioni di ogni cubo riportate nel sito sono 150x150x150mm.
Possono essere sufficenti 2m^2 di stoffa?
Si perché?
No perché?
the height of an object dropped from the top of a 320-meter building is given by h(t)= -5t^2+320. how long will it take the object to hit the ground
Create a scenario that leads to an inequality of the form ax + b > c.
Answer:
Ben needs more than 200 points to unlock the next level in the game
He already has 45 points
For every win, he receives 5 points
No. of wins required: x
5x + 45 > 200
Write the ordered pair that describes a point 12 units down from and 7 units to the right of the origin.
What is 1 3/4 - 5/6r =8/3
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 3θ. PLEASE HELP ME SOLVE RN I NEED THIS, ALSO INCLUDE THE PROVING PART.
solve
18x^2 -3x -10
What is the smallest solution
A 1:35 scale model of a fishing hut is 17 cm tall, 18 cm wide, and 19.7 cm long. What are the dimensions of the actual ice fishing hut?
To determine the actual size of an ice fishing hut from a 1:35 scale model, multiply each model dimension by 35, resulting in a real hut approximately 5.95 meters tall, 6.3 meters wide, and 6.895 meters long.
The dimensions of the actual ice fishing hut, based on the 1:35 scale model, can be found by multiplying each dimension of the model by 35. To find the height, multiply 17 cm by 35, which gives 595 cm or 5.95 meters. To find the width, multiply 18 cm by 35, which gives 630 cm or 6.3 meters. Finally, to find the length, multiply 19.7 cm by 35, resulting in 689.5 cm or 6.895 meters. Therefore, the actual dimensions of the ice fishing hut are approximately 5.95 meters tall, 6.3 meters wide, and 6.895 meters long.
Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?
A watering can dispenses water at a rate of 0.15 gallon per minute. The original volume of water in the can was 5 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y) as a function of time in minutes (x) from the first minute after the can starts dispensing water?
Answer:
The changing rate of the amount of water in the watering can is a constant rate of 0.15 gallon per minute.
The initial volume of water in the can at time = 0 is 5 gallons
The function will be a linear function in the form of where
is the volume of water in the can after minutes
is the changing rate
is the initial volume when time is 0
Substitute all the values into the form we have
Step-by-step explanation:
y=0.15x +5
What is the circumference of a circle with a 7 foot diameter
By definition, a rational number is a number q that can be written as a fraction in the form q=a/b where a and b are integers and b≠0. So, 1/3 is rational because it is exactly what you get when you divide one integer by another.Sep 22, 2015
Anton bought a picnic cooler. His total bill, with tax, was $7.95. He paid 6 percent sales tax. How much did he pay for the cooler alone without tax? The cost of an item is 100% of its price. What number goes in the ? Of the additional problem
1.00-0.06 = 0.94
7.95 x 0.94 = 7.473, round to 7.47 without the tax
Which of the following expressions represents the value, in dollars, of a certain number of nickels, n, and dimes, d?
value = v
v = 0.05n + 0.10d
Answer: v = 0.05n + 0.10d
Step-by-step explanation:
if x=2 , y=3 , and z=4 , what Is xyz?
how do you solve for the variable ?? help
solve for w.
7w=11.2
make a word problem with the problem of 30 + 2d ex the outcome of 1,000 divided by x
Which statement is true about the circumference of a circle?
It is about three times the diameter.
It is about three times the radius.
It is about twice the radius.
It is about half the diameter.
the football team offense began a drive from their 20 yard line. They gained 8 yards, lost 12 yards and lost 2 yards before having to kick the ball. What yard line were they on when they had to kick the ball
Which property of real numbers is illustrated by the following statement?
6(7x) = (6 ∙ 7)x
Martina purchased a prepaid phone card for $15.00. Calls cost 5 cents a minute using this card. The credit, C (in dollars), left on the card after it is used for x minutes of calls is given by the following function.
C (x) = 15.00 -0.05x
How much credit is left on the card after Martina uses it for 20 minutes of calls?
Which of these is the algebraic expression for "some number to the power of 4?"
x4
4x
4x
x + 4
Answer:
They deserve brainliest!
Step-by-step explanation:
In this exercise we have to identify the formula that is being treated in a written way, so correlating correctly we have:
Letter A
What is power number?The power is a simplified notation of representing the multiplication of a number, which we call the base, repeatedly by the value of a power that determines how many times we must multiply this number.
So the only one that corresponds to "some number to the power of 4" is:
[tex]x^4[/tex]
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In a public opinion poll,624 people from a sample of 1,100 indicated they would vote for a specific candidate.how many votes can the candidate expect to receive from a population of 40,000
If 10% of a group ate sandwiches two days in a row, and 40% of the group had a sandwich on the first day, this means that 25% of the group that ate a first sandwich had a second. A. True B. False