the rainfalls 2 years ago was 10.2 inches.last year total was 20 percent greater. what was last years rainfalls total
What is 2x + 11y when x = 4 and y = 2?
A. 30
B. 38
C. 48
D. 136
help please!
What percent of $6.50 is $2.60?
A new drug has been found to be effective in treating 75% of the people afflicted by a certain disease. If the drug is administered to 400 people who have this disease, what are the mean and the standard deviation of the number of people for whom the drug can be expected to be effective? (Round your standard deviation to two decimal places.)
Answer:
The mean is 300 and the standard deviation is 8.67.
Step-by-step explanation:
It has been given that the drug has been found to be effective in treating 75% of the people afflicted by a certain disease.
Therefore, probability of success is given by p = 0.75
Now, total number of people affecting from the disease, n = 400
We know the formula for mean, which is given by
[tex]\mu=np\\\mu=400\times 0.75\\\mu=300[/tex]
And the standard deviation is
[tex]\sigma=\sqrt{np(1-p)}\\\sigma=\sqrt{400\cdot0.75(1-0.75)}\\\sigma=8.67[/tex]
Therefore, the mean is 300 and the standard deviation is 8.67.
Two similar polygons have areas of 50 and 100 sq. in. Find the ratio of the length of a pair of corresponding sides.
Answer:
the answer is square root 2/ 2
Step-by-step explanation:
3x 4-7x-6 in terms and like terms
Work for 8554 divided by 94
Evaluate the expression when y = 4. 5 + y + 8
A company manufacturers and sells x electric drills per month. The monthly cost and price-demand equations are
C(x)=64000+60x, p=190−x/30, 0≤x≤5000.
a) production level at max revenue = 2850
b) price to max profit = $125
c) Suppose that a 5 dollar per drill tax is imposed. Determine the number of drills that should be produced and sold in order to maximize profit under these new circumstances. ???
A unit of measure used in surveying is the link; 1 link is about 8 inches. about how many links are there in 9 feet.
To find out how many links are there in 9 feet, we can use the conversion factor that 1 link is about 8 inches.
Explanation:To find out how many links are there in 9 feet, we can use the conversion factor that 1 link is about 8 inches. First, we need to convert 9 feet to inches by multiplying it by 12 (since there are 12 inches in 1 foot). So, 9 feet = 9 x 12 = 108 inches. Next, we can divide 108 inches by 8 (since 1 link is approximately 8 inches) to find the number of links. 108 inches ÷ 8 = 13.5 links. Therefore, there are approximately 13.5 links in 9 feet.
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The are of a rectangle is 525 square centimeters. The ratio of the length to the width is 7: 3. Find the length and the width.
To solve for the rectangle's dimensions, the area 525 cm² is divided by the ratio of length to width (7:3), revealing a width of 15 cm and a length of 35 cm.
To find the length and width of a rectangle with an area of 525 square centimeters and a length-to-width ratio of 7:3, we can use proportions. Let's define the width as w centimeters. Then, since the ratio of the length to the width is 7:3, the length can be represented as (7/3)w centimeters.
The area of a rectangle is given by length imes width. Therefore, we can set up the equation (7/3)w × w = 525 to represent the area. To find w, we solve for w² = (525 × 3) / 7, which gives us w² = 225.
By taking the square root of both sides, we see that w = 15 centimeters. Now to find the length, we use the ratio: length = (7/3) × 15 = 35 centimeters.
What is 36000 divided by 11 using long division
A cylinder is sliced by a plane that is not parallel to the base and intersects only the lateral surface. The resulting cross section is
A.circle
B.parabola
C.ellipse
D.hyperbola
Answer:
c. Ellipse
Step-by-step explanation:
Answer:
option (c)
Step-by-step explanation:
It is an ellipse.
Option (c) is correct .
Which distribution has the greatest spread?
Mean Standard
Deviation
Distribution 1 22 0.2
Distribution 2 21 0.8
Distribution 3 19 1.2
Distribution 4 20 3.2
Answer:
Distribution 4, mean is 20 and standard deviation is 3.2
Step-by-step explanation:
The standard deviation tells us on average how far each of our data values is from the mean. A standard deviation that is larger than the others will mean a distribution that is more spread out than the others; 3.2 is the largest standard deviation, so Distribution 4 has the greatest spread.
Find an equation of the line that satisfies the given conditions.
Through (6, 7); parallel to the line passing through
(7, 5) and (3, 1)
Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −x+4y=20?
y=−4x−3
y=−14x+6
−x+4y=8
4x+y=−1
Lines with equations y=−4x−3 and 4x+y=−1 are neither parallel nor perpendicular to the line −x+4y=20. The line y=−14x+6 is also neither parallel nor perpendicular to the given line. The line −x+4y=8 is parallel to the given line.
Explanation:To determine whether lines are parallel, perpendicular, or neither to the given line −x+4y=20, we'll need to look at their slopes. If the slopes are the same, the lines are parallel. If the product of the slopes is -1, the lines are perpendicular.
First, we should rewrite the given equation in y = mx + b format to identify the slope. The equation becomes y = 1/4x + 5. The slope for the given line is 1/4.
The first equation, y=−4x−3, has a slope of -4. This is neither equal to 1/4 nor its negative reciprocal, so the line is neither parallel nor perpendicular. The second equation, y=−14x+6, has a slope of -14. This is not equal to 1/4 or a negative reciprocal of 1/4, so this line is also neither parallel nor perpendicular. The third equation, −x+4y=8, can be rewritten as y = 1/4x + 2, which shares a slope with the given line and is therefore parallel. The last equation, 4x+y=−1, can be rewritten as y = -4x - 1, also has a slope of -4, thus it is neither parallel nor perpendicular to the given line. Learn more about Parallel and Perpendicular Lines here:
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11 + (6-x/2) = 26
TIA
Answer:
X= -24
Step-by-step explanation:
PLEASE HELP ASAP
A construction crew is lengthening a road. The road started with a length of 57 miles, and the crew is adding 4 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D . Then use this equation to find the total length of the road after the crew has worked 38 days.
Equation:
total length of the road after 38 days: Miles
Calculate the length of the circumference of a circle with a diameter of 7 cm
The length of a rectangle is 6 inches longer than its width. the perimeter of the rectangle is 28 inches. if x represents the width of the rectangle, which equation can be used to find its value?
I hope choice must be given so that we can select which equation can be used to find its value.
I am showing the steps for this problem.
Given that, x represents the width of the rectangle and the perimeter of the rectangle is 28 inches.
Let's assume y represent the length of the rectangle.
Formula to find the perimeter of a rectangle is,
p= 2 * length + 2 * width.
Hence, we can set up an equation as following.
2 y + 2x = 28.
Hope this is your question, if not I think you will, still be able to
find an answer of your question based on this solution.
Hope this helps you!.
Answer: The answer is 2 × (6 + x) + 2 × x = 28.
Step-by-step explanation: Given that the length of a rectangle is 6 inches longer than its width. the perimeter of the rectangle is 28 inches. if x represents the width of the rectangle, then we are to find the equation that finds the value of 'x'.
Since width of the rectangle is 'x' inches and length is 6 inches longer than the width, so length will be (6 + x) inches.
Also, perimeter is 28 inches, therefore, we have
[tex]2\times(6+x)+2\times x=28\\\\\Rightarrow 6+x+x=14\\\\\Rightarrow 2x=8\\\\\Rightarrow x=4.[/tex]
Thus, the value of x is 4 inches, hence width = 4 inches and length = 4 + 6 = 10 inches.
"Compounding frequency" refers to:
circumference of a circle with a radius of 5 inches
Answer is provided in the image attached.
If you invest 1,700$ at an annual interest rate of 8.9% compounded continuously. How much will you have in the account after 10 years have passed?
A: $1, 858.24
B: $20,698.60
C:$41,397.20
D$4, 139.72
An equation for this problem- The cable company charges a monthly fee of $45. Each movie rental is $1.99. You owe $68.88/ How many movies did you rent?
Answer:
12 movies
Step-by-step explanation:
If you have to pay 1.99 per movie and that is our unknown, we can express that as 1.99x, where x is the number of movies (our independent variable). If you rent 0 movies, you still have to pay the company $45. So the equation for the number of movies you rent:
y = 1.99x + 45 where y is the total cost of your cable for that month. We know the cost for a certain month was 68.88 so our equation becomes
68.88 = 1.99x = 45 and
23.88 = 1.99x so
x = 12 movies
To calculate the number of movies you rented, first subtract the monthly fee of $45 from the total amount owed of $68.88, which leaves $23.88 for movie rentals. Since each movie costs $1.99, divide $23.88 by $1.99 to get approximately 12 movies rented.
Explanation:
The subject of this question is a simple algebraic problem involving a basic equation. To find out how many movies were rented, we first need to understand what charges make up the total charge of $68.88. Given that the cable company charges a monthly fee of $45 and each movie rental costs $1.99, we know that the total charge of $68.88 includes both the monthly fee and the cost of movie rentals.
To find out how many movies were rented, we subtract the monthly fee from the total owed: $68.88 - $45 = $23.88. This is the total cost for movie rentals. Since each movie costs $1.99, we divide the total cost of rentals by the cost per movie: $23.88 / $1.99. The answer is about 12, "so you rented approximately 12 movies".
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the rule is :divided by 5 the pattern is : 625
A train needs 4 hours to go from the first station to the second. If the third station is 120 miles away and the total travel time must be no more than 7 hours, write an inequality that would let you find the slowest average speed, v, the train could have.
The perimeter of a rectangle is 126 ft. The ratio of its length to its width is 5 : 4. What are the dimensions of the rectangle?
Solve the inequality. 2>8−43h
Final answer:
To solve the inequality 2 > 8 - 43h, subtract 8 from both sides and divide by -43, then flip the inequality sign. The solution is h > 6/43.
Explanation:
To solve the inequality 2 > 8 - 43h, we need to isolate the variable h. Let's start by subtracting 8 from both sides:
2 - 8 > 8 - 8 - 43h
-6 > -43h
Next, we divide both sides of the inequality by -43, but since we are dividing by a negative number, the inequality sign flips:
-6/-43 < -43h/-43
Simplifying the expression:
6/43 < h
The solution to the inequality is h > 6/43.
Liam has purchased a fee-for-service health insurance plan from Leroux Health Insurance. Plan A includes a $248.00 monthly premium and an annual deductible of $5,500.00 (not including co-pays).
Liam is a fairly healthy young man. He visits his primary care physician three times a year on scheduled visits. He sees a chiropractic specialist every week to help with lower back pain. He has no current prescriptions that need refilling regularly.
Assuming Liam maintains his regular visits with his primary care physician and his chiropractor, and avoids any trips to the emergency room or urgent care, how much will Liam pay in health care related fees this year?
Answer: D | $6,216.00
Step-by-step explanation:
For f(x) = 2x + 1 and g(x) = x2 – 7, find (f + g)(x).
A. x2 + 2x – 6
B. 2x3 – 6
C. x2 + 2x + 8
D. 2x2 – 15