A standard bathtub holds 60 gallons of water. A full tub drains 12 gallons per minute. Which of the following tables best represents the situation?
Answers
J.
x represents the minutes and y shows how many gallons over that time.
The correct table for best represents the situation is shown in Table J.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
A standard bathtub holds 60 gallons of water.
And, A full tub drains 12 gallons per minute.
Now, From table J;
Rate of change is,
⇒ (24 - 12) / (2 - 1)
⇒ 12 / 1
⇒ 12 gallons per minutes
Which is given in situation.
Thus, The correct table for best represents the situation is shown in Table J.
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Related Questions
For which of the following sample sizes is the sample median most likely to be above $250,000?
A. n = 10
B. n = 50
C n = 100
D. n = 1000
E Impossible to determine without more information
Answers
Answer:
A. n=10
Step-by-step explanation:
your welcome
Answer:
n=100
Step-by-step explanation:
In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000? That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.
can someone help me on this?
Answers
Answer:
Step-by-step explanation:
Drew has two cats. One cat weighs 17 pounds, and the other one weighs 1212 pounds. Audrey’s dog weighs 33 pounds.
What is the difference in ounces between Audrey’s dog and the combined weights of Drew’s cats?
Enter your answer in the box.
Answers
Answer:
48 ounces.
Step-by-step explanation:
Steps:
Combine the weight of the cats.
12 (assuming it is a typo, 1212 pounds is a pretty big cat!) + 17 = 30 pounds
Convert to ounces.
33 pounds = 528 ounces
30 pounds = 480 ounces
Subtract the two/find the difference.
528 - 480 = 48.
The difference in ounces between Audrey's dog and the combined weights of Drew's cats is 48 ounces.
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 115.8. If the organization's claim is correct, what is the probability of having a sample mean of 115.8 or less for a random sample of this size
Answers
Answer:
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.
This means that [tex]\mu = 118, \sigma = 17[/tex]
A randomly selected group of 40 members
This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]
What is the probability of having a sample mean of 115.8 or less for a random sample of this size?
This is the pvalue of Z when X = 115.8.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]
[tex]Z = -0.82[/tex]
[tex]Z = -0.82[/tex] has a pvalue of 0.2061
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?
Answers
Answer:
40 children went on the cruise.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of adults on the cruise
y is the number of children on the cruise.
57 tickets were sold:
This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]
Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.
This means that:
[tex]22x + 10y = 774[/tex]
Since [tex]x = 57 - y[/tex]
[tex]22(57 - y) + 10y = 774[/tex]
[tex]1254 - 22y + 10y = 774[/tex]
[tex]12y = 480[/tex]
[tex]y = \frac{480}{12}[/tex]
[tex]y = 40[/tex]
40 children went on the cruise.
Vincent gathered groups of 1 to 8 people and gave every group the same positive salt. He recorded the number of minutes it took each you to solve the puzzle in Porter resort. What is the best description of this relationship
Answers
Answer:
Larger groups take less time
Step-by-step explanation:
Mrs. Bell wrote the expanded form of a number, as shown. 5 × 100 + 4 × 10 + 6 × 1 + 2 × (1___ 10)+ 8 × (1____ 1000)What is the number written in standard form?
Answers
Answer:
the question is worded incorrectly, but I believe the answer is 8566.
Step-by-step explanation:
How do I evaluate:
(-1000)1/3
Answers
9514 1404 393
Answer:
-10
Step-by-step explanation:
The first step is to write what you mean. We think you mean (-1000)^(1/3).
If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...
-1000 = (-10)^3
Then your expression is ...
(-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10
__
Some calculators can evaluate this for you (see attached).
Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:
(-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10
_____
Of course, a 1/3 power is the same as a cube root. Your calculator may have a cube root button that works just fine with negative numbers.
look at pic 10 pts will mark brainilest
Answers
Answer:
A) The width is 12 cm; the average time is 3 minutes
Step-by-step explanation:
[tex]\frac{5}{3}= \frac{20}{y}[/tex]
Cross multiply.
5 × y = 3 × 20
5y = 60
5y ÷ 5 = 60 ÷ 5
y = 12
The width is 12 cm. Moving onto the time.
[tex]\frac{12}{4} =\frac{y}{1}[/tex]
Cross multiply.
4 × y = 12 × 1
4y = 12
4y ÷ 4 = 12 ÷ 4
y = 3
The time is 3 minutes.
Answer:
answer is d sorry if I'm wrong
A picture is to be printed onto a sheet of paper with dimensions of 81/2 x 11 inches, A margin of 1 1/2 inches is to be left on all sides of the picture. What is the area of the printed picture?
Answers
Answer:
The area of the printed picture is 172.5 square inches.
Step-by-step explanation:
Since a picture is to be printed onto a sheet of paper with dimensions of 81/2 x 11 inches, and a margin of 1 1/2 inches is to be left on all sides of the picture, to determine what is the area of the printed picture the following calculation must be carried out, knowing that the area of a rectangle is equal to the base multiplied by the height:
81/2 = 40.5
1/2 = 0.5
40.5 - 1.5 x 4 = 34.5
11 - 1.5 x 4 = 5
34.5 x 5 = 172.5
Therefore, the area of the printed picture is 172.5 square inches.
A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.
Answers
Answer:
22.4
Step-by-step explanation:
delta math
Answer:22.4
Step-by-step explanation:
I need help ASAP i will give brainlist
Answers
Answer:
M
Step-by-step explanation:
Answer:
Point M
Step-by-step explanation:
Each line represents 0.05 so M would best represent 1/3
A loss of $13.50 on a washing machine represents 15% loss on the selling price. what is the selling price?
Answers
Answer:
$90
Step-by-step explanation:
Given data
Given data
Loss= $13.5
Percentage of the loss= 15%
Let the full loss be x
Hence we can find the value of x as
15/100*x= 13.5
0.15x= 13.5
divide both sides by x
x= 13.5/0.15
x= $90
Hence the loss in full is $90
My cousin needs help with this question.
Answers
Answer:
3 feet per minute
Step-by-step explanation:
Look at an easy to read point on a grid line intersection.
Then find the slope. Slope = constant of proportionality.
For example, look at point (2, 6) which means that when time = 2 minutes, distance = 6 feet.
(6 ft)/(2 sec) = 3 feet per minute
Answer: 3 feet per minute
Find the equation of the line shown. Enter yoir answwr in slope intercept form
Answers
Answer:
y = x
Step-by-step explanation:
The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.
Hope this helps!
-Luna
5. Consider kite HIJK. If HK = 8 and HP = 5, find KP.
H
К.
Р
Answers
Answer:
Step-by-step explanation:
KP²+HP²=KH²
KP²+5²=8²
KP²=64-25=39
KP=√39
How do you write 5.09 104 in standard form?
Answers
Hope that helped :)
What is the height (h) of the prism?
3ft
6ft
Answers
Answer:
6ft
Step-by-step explanation:
The height is 6ft, because the 3 foot measurements are the width of the prism.
Milo is working on a wall mural using geometric shapes. The mural includes parallelograms and rectangles like the ones below.
Opposite sides are parallel.
Opposite sides are congruent.
Opposite angles are congruent.
Opposite angles are right angles.
Answers
Answer:
Opposite angles are right angles.
Step-by-step explanation:
hi can you please help me with my work
Answers
the function f(x) = -x^2 + 44x -384 models the daily profit in dollars that a shop makes
Answers
If 18 is 45% what is 100%
need help ASAP any random answers just for points will be reported
Answers
Answer: 45
Step-by-step explanation:
Solution for What is 45 percent of 100:
45 percent * 100 =
(45:100)* 100 =
(45* 100):100 =
4500:100 = 45
Now we have: 45 percent of 100 = 45
Question: What is 45 percent of 100?
Percentage solution with steps:
Step 1: Our output value is 100.
Step 2: We represent the unknown value with $x$x.
Step 3: From step 1 above,$100=100\%$100=100%.
Step 4: Similarly, $x=45\%$x=45%.
Step 5: This results in a pair of simple equations:
$100=100\%(1)$100=100%(1).
$x=45\%(2)$x=45%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{100}{x}=\frac{100\%}{45\%}$
100
x=
100%
45%
Step 7: Again, the reciprocal of both sides gives 45
$\frac{x}{100}=\frac{45}{100}$
x
100=
45
100
$\Rightarrow x=45$⇒x=45
Therefore, $45\%$45% of $100$100 is $45$
Answer:
40
Step-by-step explanation:
I like to find common factors.
45% and 18 are both divisible by 9.
so
45% ÷ 9 = 5%
18 ÷ 9 = 2
2 is equal to 5%
100% ÷ 5% = 20
so
20 × 2 = 40
100% = 40.
The length of a rectangular swimming pool is exactly three times as long
as its width. If the pool has a perimeter of 472m find the width of the pool
Answers
Answer:
59m
Step-by-step explanation:
Length= 3 × ( width)
But perimeter= 2width + 2 Lenght= 472
Let length= X
Width= Y
X= 3Y.........eqn(1)
2X + 2Y= 472........eqn(2)
Substitute X= 3Y in eqn(2)
2(3Y) + 2Y = 472
6Y + 2Y= 472
8Y= 472
Y= 59 m
Hence, the width of the pool is 59 m
Which function is linear?
A) y = x^2 + 4
B) 2y = 4x^2
C) 2y = x + 4
D) x^2=2y
Answers
Answer:
A
Step-by-step explanation:
its a
Answer:
C) 2y = x + 4
Step-by-step explanation:
all other functions include x²
solve For X if 9( x²_1 )= 27 x 2187
Answers
Answer:
use photomath it'll slove it for you
Step-by-step explanation:
Dr. Seals borrows $15,000 to remodel her backyard. The interest rate is 3%. The interest is compounded twice a year for two years.
Answers
Answer:
what is the question?
Step-by-step explanation:
Given m∠3+m∠8=180° .
Answers
Answer:
5.175117
Step-by-step explanation:
Seamus draws a triangle with angles of measures 40°, 60°, and 80°. Edwina draws a triangle with these same three angle measures. Which statement must be true?
A Edwina's triangle is the same size as Seamus's triangle.
B Edwina's triangle is the same shape as Seamus's triangle.
C The perimeter of Seamus's triangle is greater than the perimeter of Edwina's triangle.
D The area of Edwina's triangle is less than the area of Seamus's triangle.
Answers
Answer:
It may be D or A hopeit helps
Step-by-step explanation:
Click through the graphs and select the one that could represent the relationship between the cost, c, of a call and the time, t, for the cell phone plan shown below.
Answers
Answer:it the last one i just got it right, i dont know how to put the pic up but, hope this helps.
Step-by-step explanation:
Relationship between the cost, c, of a call and the time, t, for the cell phone plan in the second graph.
What is Graph?
Graph is a representation of a network and is used to describe the connectivity between lines and points.
The below table represents the relationship between the cost in dollars and time in hours
Time in hours 0 1 2 3
Cost in dollars 10 13 16 19
By observing the values and Graph, we can see that 2nd graph matches with the given values.
Hence second graph matches with the value.
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Find the area of the white region in the diagram shown.
Answers
Answer:
Option 4
Step-by-step explanation:
Area of shaded region = Area of the circle - Area of the shaded triangles
Area of the circle = πr²
r = Radius of the circle
Therefore, area of the circle = π(4)²
= 16π
Area of the given triangles = [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]
= Base × Height
= (4 × 4)
= 16
Area of the shaded region = 16π - 16
Option 4 will be the correct option.
