Answer:
Inequality is m ≤ 1000
Step-by-step explanation:
Capacity of the pool to hold the maximum water is = 4500 gallons of water.
Pool is already having 1500 gallons of water so remaining volume of the pool that can be filled is = 4500 - 1500 = 3000 gallons
Marcus begins to add 30 gallons water per minute and it takes "m" minutes to fill the remaining volume.
So amount of water required = 30m gallons
There is a condition that Marcus continues to add water without exceeding the maximum amount of water.
This means remaining amount "3m gallons" will be never cross the limit of "3000 gallons" of remaining volume of water.
Now we can form the inequality as 3m ≤ 3000
or m ≤ 1000
Therefore, answer is m ≤ 1000
Z = 6.8 e j 2.57 + 5.5 e j 2.64 put z in the form z = r ∠ θ , where r > 0 , θ is in degrees, and − 180 ∘ < θ ≤ 180 ∘ .
Easy 20 points!
Which expression finds the length of side y in this right triangle?
The Last one is your answer
Answer:
The last one i did this before
Step-by-step explanation:
Tyler bought a large bag of peanuts at a baseball game. Is it more reasonable to say that the mass of the peanuts is 1 gram or 1 kilogram?
ln(2m 8th power) exapnad in logarithmic expression
is 4,286 divisqble by 6
The mean output of a certain type of amplifier is 117 watts with a variance of 100. if 42 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 3.3 watts? round your answer to four decimal places.
Solve the equation by factoring. z2 − 6z − 27 = 0
To solve the quadratic equation z² -6z - 27 = 0, factor it to get (z - 9)(z + 3) = 0. Using the Zero Product Property, we find that the solutions are z = 9 and z = -3.
Solving Quadratic Equations by Factoring
To solve the quadratic equation z ²
- 6z - 27 = 0 by factoring, we must find two numbers that add up to -6 and
multiply to -27. After identifying these numbers, we can factor the quadratic expression
into a product of two binomials and then apply the Zero Product Property to find the
values of z.
The two numbers that meet these criteria are -9 and 3, as (-9)*(3) = -27 and (-9)+(3) =
-6. Therefore, we can express the quadratic equation as:
(z - 9)(z + 3) = 0
By the Zero Product Property, we find the solutions to the equation by setting each
binomial equal to zero:
z - 9 = 0
z = 9
z + 3 = 0
z = -3
Thus, the solutions to the quadratic equation are z = 9 and z = -3. These are the z-values that satisfy the original equation.
The interior angles formed by the sides of a hexagon have measures that sum to 720 degrees. What is the measure of angle F?
Graph The Parabola. y=3x^2+18x+20
HELP ASAP How do I find the answer to this
-2(bx - 5) = 16
What’s does b and x equal?
A bearing, measured at 1.234 inches with a caliper, must be replaced. Since the bearings are sized in 64ths of an inch, find the closest fractional size.
What is 7/10 expressed as a decimal? Enter your answer in the box.
PLEASE HELP ME ILL GIVE U A BRAINLIST a man who is 6 feet tall cats a shadow that is 15 feet long.A tree casts a similar shadow is 22 FT how tall is the tree?
If 555 is divided by 2, what is the remainder? A) 1 B) 2 C) 3 D) 5
Step-by-step explanation:
If 555 is divided by 2 then the quotient is 277 and remainder is 1.
The lateral area of a cone is 555 pi cm^2. The radius is 15.1 cm. What is the slang height to the nearest tenth of a centimeter?
A- 36.8 cm
B- 11.7 cm
C- 83.8 cm
Use the normal distribution of fish lengths for which the mean is 1111 inches and the standard deviation is 44 inches. assume the variable x is normally distributed. left parenthesis a right parenthesis(a) what percent of the fish are longer than 1212 inches? left parenthesis b right parenthesis(b) if 300300 fish are randomly selected, about how many would you expect to be shorter than 77 inches?
10,456 to the nearest tenth
A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 199 milligrams with s = 16.5 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.
To construct a 95% confidence interval, use the formula: Confidence Interval = sample mean ± (critical value * (sample standard deviation / sqrt(sample size))). The confidence interval for the true mean cholesterol content is approximately 190.37 to 207.63 milligrams.
Explanation:To construct a 95% confidence interval for the true mean cholesterol content of all chicken eggs, we can use the formula:
Confidence Interval = sample mean ± (critical value * (sample standard deviation / sqrt(sample size)))
Given that the sample mean is 199 milligrams, the sample standard deviation is 16.5 milligrams, and the sample size is 12, we need to determine the critical value for a 95% confidence level. Since we have a small sample size, we need to use the t-distribution.
Using a t-table or a statistical calculator, we find that the critical value for a 95% confidence level with a sample size of 12 is approximately 2.179.
Substituting the values into the formula, we get:
Confidence Interval = 199 ± (2.179 * (16.5 / sqrt(12)))
Simplifying and calculating, the confidence interval is approximately 190.37 to 207.63 milligrams.
To construct a 95% confidence interval for the mean cholesterol content of chicken eggs, we use the sample data provided, along with the t-distribution for a sample size less than 30, and apply the standard formula for confidence intervals.
Explanation:The question asks to construct a 95% confidence interval for the true mean cholesterol content of chicken eggs based on the given sample data. To calculate this, we first need to use the sample mean (μ), which is 199 milligrams, and the standard deviation (s), which is 16.5 milligrams. Since the sample size is less than 30, we will use the t-distribution to find the critical value. With n=12, the degrees of freedom (df) are 11.
First, look up the critical t-value for df=11 at a 95% confidence level. Let's assume it is approximately 2.201. Next, calculate the standard error (SE) of the mean by dividing the sample standard deviation by the square root of the sample size. That's SE = 16.5 / sqrt(12).
Now, we can construct the confidence interval using the formula: mean ± (t-value * SE). Plugging in the numbers, we get 199 ± (2.201 * SE).
d. A 95 percent confidence interval means that if we took many samples and built a confidence interval from each of them, we'd expect about 95 percent of those intervals to contain the true mean cholesterol level of all such eggs. Because of sample variability, the interval provides a range of values within which we are 95% confident the true mean lies.
8% of what is 2.8??
The Science Club went on a two-day field trip. The first day the members paid $30 for transportation plus $18 per ticket to the planetarium. The second day they paid $85 for transportation plus $15 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
Answer:
n(30 +18 +85 +15) , and if you slove the expression it'll be $148 dollars .
Step-by-step explanation:
The front wall of your shed is in the shape of a trapezoid. The bottom measures 22 feet, the top measures 20 feet, and the height is 10 feet. Calculate the area of the front wall of your shed.
Answer:
the answer on edge is D. 66^2
Step-by-step explanation:
A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
The slope of the line that points M and N lies on is [tex]-\frac{3}{4}[/tex]
Given:
[tex]M(1, 3)\\N(5, 0)[/tex]
Formula for slope of a line is:
[tex]slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let,
[tex]M(1, 3) = (x_1, y_1)\\N(5, 0) = (x_2, y_2)[/tex]
Substitute
[tex]Slope(m) = \frac{0-3}{5-1} \\= \frac{-3}{4} \\= -\frac{3}{4}[/tex]
Therefore, the slope of the line that contains M(1, 3) and N(5, 0) is: [tex]-\frac{3}{4}[/tex]
Learn more about slope here:
https://brainly.com/question/19381158
Haseem was given the following enlargement. What is the perimeter, in centimeters, of the enlarged triangle?
the length of johns patio is 5 feet less than 3 times the length of howards patio .johns patio has a length of 40 feet . what is the length of howards patio
The circumference of a circle is 28 pi inches. What is the length of the radius of this circle?
Answer:
The length of the radius of this circle is 14 inches.
Step-by-step explanation:
Circumference of the circle = [tex]28\pi[/tex]
Let's take the length of the radius of the circle as [tex]a[/tex]
Circumference of a circle = [tex]2\pi r[/tex]
Where,
r is the radius of the circle.
Therefore,
[tex]2\pi a=28\pi[/tex]
[tex]2a=28[/tex]
[tex]a=14[/tex]
Therefore, the length of the radius of this circle is 14 inches.
Type the correct answer in each blank. Use numerals instead of words. If necessary, use / for the fraction bar(s). John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. He estimates that for every $2 increases in the fee, the average number of students reduces by 1. Complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases.
c(x) =_x^2 +_x+_
Answer:
c(x) = -2x^2+16x+168
Step-by-step explanation:
just did it on edmentum
mike purchased two blankets at $44.99 each, one mattress for $59.00 and a sheet for $19.99. The sales tax rate is 5.75%. what is the total purchase price, including sales tax?
The total purchase price, including sales tax, for the two blankets, one mattress, and one sheet that Mike purchased is $178.69.
Explanation:To work out the total purchase price, including sales tax, for the items Mike purchased, first, we need to calculate the total cost of the blankets, mattress, and sheet before tax:
Two blankets: 2 × $44.99 each = $89.98One mattress: $59.00One sheet: $19.99Add these amounts together to find the subtotal:
$89.98 + $59.00 + $19.99 = $168.97
Next, we compute the sales tax. Convert the percent to a decimal by moving the decimal point two places to the left (5.75% becomes 0.0575), and then multiply by the subtotal:
0.0575 × $168.97 = $9.7161
Round the sales tax to the nearest cent: $9.72
Finally, add the sales tax to the subtotal to get the total purchase price:
$168.97 + $9.72 = $178.69
Therefore, the total purchase price, including sales tax, is $178.69.
you roll a standard number cube. Find P(number greater than 5)
On a standard number cube there are 6 numbers and only one of them is greater than 5.
The probability of getting the one number out of 6 total numbers is 1/6
P( number greater than 5) = 1/6
Eight students were absent the following number of days in a year: 4,8,0,1,7,2,6,and 3. Decide if the range or interquartile range better describes the data set, and explain your reasoning.