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.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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Related Questions
Dana bought 144 pencils for $8.64.which equation could be used to determine the cost of each pencil,x?
A.144/8.64=x
B.x/144=8.64
C.8.64-x=144
D.144x=8.64
Answers
Answer:
144x=8.64
This way you can divide by 144 to find how much each individual pencil costs
Ms. jones wants to take her students for all of her classes on a field trip to see a Broadway production. There are three shows to choose from. She wants to determine which show students would like to see. which sample would be the most appropriate for this survey?
A: Every fifth student that enters her classroom
B: Her Honors class
C: 5 boys in each of her class
D: At the end of the day, ask teachers what they think student will like
Answers
Answer:
A
Step-by-step explanation:
Because it is a random sample
I NEED HELP PLZ ( WILL GIVE BRAINLIST) NO LINKS
Answers
Answer:
2 1/2
Step-by-step explanation:
i used the lwh for this/ (length) (width) (height)
Branliest will be appreciated and thanks!
I WILL MARK BRAINLIEST IF CORRECT! Look at the image below.
Answers
Answer:
C 1/10 × 33
D 0.1 × 33
Hope that helps
7
1. Represent these numbers on the number line. (i)7÷4
Answers
Answer:
Answer is in picture
Step-by-step explanation:
Hope it is helpful.....
25 - [2x(18 divided by 3) + 2
Answers
Answer:
the answer is 11
Step-by-step explanation:
if you take 18 divided by 3 and then 2 times that plus 2 and minus 25 it is 11
Who knows the answer for this problem
Answers
- Each friend has 10 nails to paint
- There are 8 friends
- Jackie finished painting 4 friend's nails
If there are 8 friends, and each friend has 10 nails to paint, then there are 80 nails that need to be painted in total.
Jackie finished painting 40 nails.
So the math sentence will be:
80 - 40 = 40
--------------------------------------------------
Jackie needs to paint 40 more nails.
The length of a rectangle is 3 yards less than 5 times the width. If the perimeter is 102 yards, find the length and the width of the rectangle.
Answers
Answer:
Width = 9 yards, length = 42 yards
Step-by-step explanation:
Perimeter = 2xlength + 2xwidth. Let's call length L and width W. The question also states that L = 5W-3. Therefore, 102 = 2x (5W-3) + 2W. Then, 102 = 12W - 6. 108 = 12W, so W = 9 yards. Since L = 5W - 3, we get 45-3 = 42 yards.
(2 + 3x)
62
Angle Relationship: Adjacent OR Vertical
Answers
Answer:
adjacent
Step-by-step explanation:
A nurse is investigating the birth weights of non-premature babies. She selects a random sample of 41 such babies, and found a mean weight of 3506.4 grams and a sample standard deviation of
494.2 grams. Find a 95% confidence interval for the mean birth weight of all non-premature babies. Show your calculation for the confidence interval as well as the final confidence interval rounded to one decimal place. Then write a sentence that gives the interpretation of your confidence interval, including the correct units.
Answers
Answer:
The 95% confidence interval for the mean birth weight of all non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 41 - 1 = 40
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0211
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0211\frac{494.2}{\sqrt{41}} = 156[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 3506.4 - 156 = 3350.4 grams
The upper end of the interval is the sample mean added to M. So it is 3506.4 + 156 = 3662.4 grams
The 95% confidence interval for the mean birth weight of all non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.
Jamal can run 0.5 miles in 4 minutes. If he keeps the same pace and runs for 14.4 minutes, how many miles will he have run?
Answers
Answer:
1.8
Step-by-step explanation:
First, we calculate the speed. That is 0.5/4. Then we multiply by the min. he ran which is 14.4. The answer gets you to 1.8
By the way, can you follow me on Brainly?
Thanks!
Answer:
14/4=3.5
3.5x0.5=1.75 miles
He will have run 1.75 miles
What is the volume of the rectangular solid below?
plzzzz help
Answers
50 POIINTS!!!
A coin is flipped 20 times. The results are 12 heads and 8 tails. Determine the theoretical probability of getting heads.
60%
40%
20%
50%
SOMEONE PLEASE PUT STEPS TO SOLUTION.
Answers
Answer:
What we have here is experimental probability: 12 heads out of 20 tosses. The fraction 12/20 reduces to 6/10, or 0.60, which corresponds to 60%.
The ratio below shows the relationship between the weight of apples purchased and the total cost of the apples. 1 lb = $2 / 4 lb = $8 / 6 lb = $12 / 10 lb = $20 When the weight of apples is increased by a factor of 4, by what factor does the total cost increase? *
Mark only one oval.
A. 4
B. 3
C. 6
D. 8
Answers
Answer:
D
Step-by-step explanation:
Not exactly sure how to explain thou
1. Josh is reading a book that contains 100 pages. If he reads 1/3 of the book in 1/6 of an hour, how many pages per hour does Josh read?
Answers
100/3=33.33.... 1/6= 10 mins 33.33....*6= 199.98
hope this helped you out!!
Where does the graph of f(x) = (x + 9)(x - 4) cross the x-axis?
Answers
hi
f(x) = (x+9) (x-4)
if it's cross the x axis it's means f(x) = 0
(x+9) (x-4) = 0 means x+9 = 0 so x = -9 and x-4 = 0 so x = 4
answers f(x) = 0 for x = -9 and x = 4
26.5 multiplied by 0.38
Answers
Answer:
10.07
Step-by-step explanation:
26.5 x 0.38 = 10.07
Can I get brainliest
a bakery place the following price for bagels one bagel for $1.50 two bagels for$2.25 a half a dozen for
$6.50 a dozen for $12 is the price per bagel proportion 2 the number of bagels brought.
Answers
Answer:
no
Step-by-step explanation:
1 bagel $1.50 ---------> unit cost: $1.50/bagel
2 bagels $2.25
6 bagels $6.50
12 bagels $12 ---------> unit cost: $1/bagel
Since the unit costs are not equal, the prices are not proportional.
red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 5 or 9, you win $6. If the sum is 6, 7, or 12, you win $2. If the sum is any other value (2, 3, 4, 8, 10, or 11), you lose $4. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X
Answers
Answer:
The expected value of X is $0.2222.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] possible outcomes.
Desired outcomes:
Sum 5: (1,4), (2,3), (3,2), (4,1).
Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)
Sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1)
Sum of 9: (3,6), (4,5), (5,4), (6,3);
Sum of 12: (6,6)
Probabilities:
4 + 4 = 8 outcomes with a sum of 5 or 9.
8/36 = 2/9 probability of a sum of 5 or 9.
12 outcomes with a sum of 6, 7 or 12.
12/36 = 1/3 probability of the sum being 6, 7 or 12.
36 - 20 = 16 outcomes in which the sum is any other value. So
16/36 = 4/9 probability of a sum of any other value.
What is the expected value of X?
2/9 probability of earning $6.
1/3 = 3/9 probability of earning $2.
4/9 probability of losing $4.
Multiplying each outcome by its probability, we find the expected value. So
[tex]E = \frac{2}{9}*6 + \frac{3}{9}*2 - \frac{4}{9}*4 = \frac{12 + 6 - 16}{9} = \frac{2}{9} = 0.2222[/tex]
The expected value of X is $0.2222.
The green arcs show a pair of SAME SIDE INTERIOR ANGLES.
Drag the two black points to show another pair.
Same side interior angles are:
Always congruent
Sometimes congruent
Never congruent
Explain your thinking.
Answers
Order the following numbers from least to greatest: 2.74, 1/9, 4^2, -2^3, 32.5%,-6
Answers
Answer:
−
2
3
,
−
6
,
1
9
,
32.5
%
,
2.74
,
4
2
Step-by-step explanation:
Conduct the following test at the level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether . Sample data are , , , and . (a) Determine the null and alternative hypotheses. Choose the correct answer below. A. versus B. versus C. versus Your answer is correct.D. versus (b) The test statistic is nothing. (Round to two decimal places as needed.)
Answers
Answer:
Hello your question is poorly written the complete question is attached below
answer :
a) H0 : p1 = p2
Ha : p1 ≠ p2
b) Z = -0.58
c) P-value = 0.561915
d) we will reject the Alternative hypothesis
Step-by-step explanation:
For sample 1 ; n1 = 254 , x1 = 28
For sample 2 ; n2 = 301 , x2 = 38
level of significance ∝ = 0.01
P1 = X1 / n1 = 28 / 254 = 0.1102
P2 = X2 / n2 = 38 / 301 = 0.126
a) Determine the null and alternate hypothesis
H0 : p1 = p2
Ha : p1 ≠ p2
b) Determine Test statistic
we perform a Z-statistic to test the hypothesis
Z = [tex]\frac{p1-p1 }{\sqrt{( p(1-p)*(\frac{1}{n1}+\frac{1}{n2}) ) } }[/tex] -------- ( 1 )
p = ( x1 + x2 ) / ( n1 + n2 )
= ( 28 + 38 ) / ( 254 + 301 ) = 0.1189
Where: p = 0.1189 , p1 = 0.1102 , p2 = 0.126 ( input values into equation 1 )
∴ Z = -0.58
c) Determine P-value
P-value = 0.561915 ( using excel function )
d) conclusion : since p-value > 0.01 ( level of significance ) we do not reject the null hypothesis. therefore it proves that p1 = p2
Plz show work, NEED HELP FAST PLZ
Answers
Answer:
5. 4 6. 6
Step-by-step explanation:
Number 5
[tex]10-2\sqrt{9}[/tex]
[tex]2\sqrt{9}=6[/tex]
[tex]=10-6[/tex]
Subtract the numbers: 10 - 6 = 4
[tex]=4[/tex]
Number 6
[tex]70-\left(\sqrt[3]{64}\right)^3[/tex]
[tex]\left(\sqrt[3]{64}\right)^3=64[/tex]
[tex]=70-64[/tex]
Subtract the numbers: 70 - 64 = 6
[tex]=6[/tex]
PLEASE HELP ME ANSWER!!!
Answers
Answer:
61.3°
Step-by-step explanation:
For angle x, 12 is the adjacent leg. 25 is the hypotenuse.
The trig ratio that relates the adjacent leg and the hypotenuse is the cosine.
cos A = adj/hyp
cos x = 12/25
x = cos^-1 12/25
x = 61.3°
A line has a slope of -5 and includes the points (-1,r) and (-2,-2). What is the value of r?
Answers
Answer:
-7
Step-by-step explanation:
Complete the square in the following quadratic equation
Answers
Answer:
x^2 + 2x = 1 = - 1
Step-by-step explanation:
x^2 + 2x + 3 = 1
x^2 + 2x + 3 - 2 = 1 - 2
x^2 + 2x + 1 = - 1
Someone please please help me with this!!!
Answers
Answer:
[tex]4x {}^{2} - 36 \\ = (2x + 6)(2x - 6) \\ hence \: option \: b \: is \: correct[/tex]
offering 19 points to whoever can solve this need the answers
Answers
Answer:
Excuse Me! I believe you forgot to add your question and or picture with the question(s) in it! I would highly recommend to re-upload your question(s) to get the desired information needed!
Yours Truely, TheAnimeCatUwU
Answer the question in the picture plz
Answers
A number raised to a fraction would be the same as a root to the inverse of the fraction.
What that means is the sqrt(8) raised to 1/4 is the same as being 4th root of 8.
So rewriting the given equation you would have cubic root 8 x 4th root 8
Combine the roots by multiplying: 3 x 4 = 12
The equivalent equation would be C. 12 root 8 ^ x
hi can you please help me with my work
