6A barrel holds 21 qt of oil. Trina drains the barrel at a rate of 6 c per min. How
long does it take her to empty the barrel? Show your work. (1 qt = 4 c )
Answer:
14 minutes
Step-by-step explanation:
The barrel held 21 quarts of oil, which is equal to 84 cups. Trina drains the barrel at 6 cups per minute, so to find out how much time it takes her to drain it, divide 84 by 6:
84 / 6 = 14
So, it took Trina 14 minutes to drain the whole barrel.
Can you find out a harder question my child is so smart I can’t keep up with her
Answer:
what they currently going over?
Find z. Just write the number. Answer should be a whole number. PLS HELP DUE IN 10 MINS PLS
Answer:
z=13
Step-by-step explanation:
Solve for the length of BA and BC, round your answer to 1 decimal place
Answer:
[tex]BA = 6.0[/tex]
[tex]BC = 13.4[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a) BA
Considering the tangent of angle C, we have:
[tex]tan\ C = \frac{BA}{AC}\\[/tex]
This gives:
[tex]tan\ 25 = \frac{BA}{12}[/tex]
Make BA the subject
[tex]BA = 12 * tan\ 25[/tex]
[tex]BA = 12 * 0.4663[/tex]
[tex]BA = 6.0[/tex] --- approximated
Solving (a) BC
Using Pythagoras theorem
[tex]BC^2 = BA^2 + AC^2[/tex]
[tex]BC^2 = 6.0^2 + 12^2[/tex]
[tex]BC^2 = 180[/tex]
Square root of both sides
[tex]BC = \sqrt{180[/tex]
[tex]BC = 13.4[/tex]
If 20 kilograms equals about 44 pounds, how many pounds is 1 kilogram?
Answer:
2.2
Step-by-step explanation:
Find the domain and the range of the relation.
t = {(10,6), (28,- 10), (42,6), (10,10),(52,10)}
The domain of t = { ? }
Answer:
domain:{10,28,42,52}
range:{-10,6,10}
Step-by-step explanation:
Hello There!
If you didn´t know the domain is the set of x values
the x values in the given relation are
10,28,42,10 and 52
so the domain is {10,28,42,52}
The range is the set of y values
the y values in the given relations are
6,-10,6,10,10
so the range is {-10,6,10}
In 2000 a particular school district had a total of 7982 students enrolled in school. At this time, the percent of white students who were exposed to school poverty3 was 30% whereas this was 34.5% for Black students. The number of white students in this district in 2000 was 5184 and the number of Black students was 1035. (Note these are the deomgraphics for students who identify as one of these two races alone.) In 2015, the number of students enrolled in school in this district increased to 11977. The percent of white students exposed to school poverty increased to 47.8% and the percent for Black students increased to 76.1%. The number of white students in this district in 2015 was 7306 and the number of Black students was 2037.
Suppose we want to determine if, relative to the increased size of the school district from 2000 to 2015, is the difference between the proportion of white students exposed to poverty likely due to something besides chance. Perform an appropriate statistical hypothesis test at an α = 0.05 confidence level to answer this question. Show all your work and interpret your conclusion within the context of the problem and the appropriateness of the required assumptions.
Perform the same analysis as you did but this time to determine if there is statistical evidence of an actual difference between the proportion of Black students exposed to poverty.
Answer:
Part A
There is sufficient statistical evidence to suggest that the difference between the proportion of White students exposed to poverty is likely due to something beside chance
Part B
There is sufficient statistical evidence to suggest that the difference between the proportion of Black students exposed to poverty is likely due to something beside chance
Step-by-step explanation:
Part A
The given data are;
The percent of White students exposed to school poverty in 2,000, [tex]\hat p_1[/tex] = 30%
The number of White students in the district in 2,000, n₁ = 5184
The percent of White students exposed to school poverty in 2,015, [tex]\hat p_2[/tex] = 47.8%
The number of White students in the district in 2,015, n₂ = 7,306
The significant level, α = 0.05
The confidence level = 1 - α/2 = 1 - 0.05/2 = 0.975
The critical z at 0.975 confidence level, [tex]Z_c[/tex] = 1.96
The null hypothesis, H₀; [tex]\hat p_1[/tex] = [tex]\hat p_2[/tex]
The null hypothesis, H₀; [tex]\hat p_1[/tex] ≠ [tex]\hat p_2[/tex]
The Z test is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
Therefore, we have;
[tex]Z=\dfrac{0.3 - 0.478}{\sqrt{0.3 \cdot (1-0.3)\left (\dfrac{1}{5184}+\dfrac{1}{7306} \right )}} = -21.3894[/tex]
Given that the actual Z is much larger than the critical Z, we reject the null hypothesis that the difference between the proportion of White students is likely due to something other than chance
Part B, we have;
The percent of black students exposed to school poverty in 2,000, [tex]\hat p_1[/tex] = 34.5%
The number of black students in the district in 2,000, n₁ = 1035
The percent of black students in the district in 2,015, [tex]\hat p_2[/tex] = 76.1%
The number of black students in the district in 2,000, n₁ = 2037
[tex]Z=\dfrac{0.345 - 0.761}{\sqrt{0.345 \cdot (1-0.35)\left (\dfrac{1}{1,035}+\dfrac{1}{2,037} \right )}} =-22,925[/tex]
Similarly, due to the large value of Z compared to [tex]Z_c[/tex], there must be other variables responsible for the difference in proportion
Jermaine earned 175 points by finishing 5 levels of video games. At this rate, how many points will he earn if he finishes 12 levels of the video game?
Answer:
420 points
Step-by-step explanation:
5 levels of video games = 175 points
1 level = 175 ÷ 5
= 35 points
Therefore,
12 levels of video games = 35 × 12
= 420 points
The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm.
What is the volume of the pyramid?
72 cm³
48 cm³
32 cm³
60 cm³
Answer:
72 cm³
Step-by-step explanation:
i just took the test :)
The volume of the given right square pyramid is 72 cm³. The correct answer would be an option (A).
What is the volume of a right square pyramid?The formula for the volume of a right square pyramid is:
V = (1/3) B × h
where B is the area of the base and h is the height of the pyramid.
Since the perimeter of the base is 24 cm, and there are four equal sides, each side must be 24/4 = 6 cm.
The area of the square base is:
B = s² = 6² = 36 cm²
The volume of a right square pyramid is:
V = (1/3) B × h
Substituting in the given values, we get:
V = (1/3) × 36 × 6
V = 72 cm³
Therefore, the volume of the pyramid is 72 cm³.
Learn more about the volume of the pyramid here:
https://brainly.com/question/13268927
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Write the equation of the line (y = mx+b) that has a slope of 2/3 and passing through the point (-6, 4)
Answer:
y = 2/3x + 4
Step-by-step explanation:
y = 2/3x + b
substitute
4 = 2/3(-6) + b
4 = -4 + b
what number added to -4 will equal 4? the only answer is 8.
-4 + 8 = 4.
b = 4
PLEASE HELP DUE IN 3 minutes
Answer:D
Step-by-step explanation:
it has 2 number between 8-10 and the graph doesn't
PLZ GIVE BRAINLY
The lateral surface area is _ square inches
Answer:
180
Step-by-step explanation:
On the middle school basketball team, 8 players are 6th graders. Of the players, 40 percent are 6th graders. How many players are on the team?
please help
what is the slope of the line ?
Answer:
Slope would be -3/1
Answer:
-3/1 is the slope since you are going down 3 and going to the right one time.
Select the correct answer.
Dr. Granger has two dishes of healthy cells. She exposes the cells in both dishes to different compounds that cause the number of
healthy cells to either increase or decrease exponentially.
The number of healthy cells in dish At hours after exposure is modeled by the function below.
Aft)
9,000(0.87)
The number of healthy cells in dish Bt hours after exposure to the other compound can be modeled by the table below.
t
0 1
2. 3 4
9,000 9,810 10,693 11,655 12,704
B(t)
Which of the following best describes what will happen to the number of healthy cells in each dish as t increases?
Type here to search
O
RI
11:39 PM
3/22/2021
Answer:
B. As t approaches positive infinity, A(t) approaches zero and B(t) approaches positive infinity.
Step-by-step explanation:
I got it right on my test
y= -2x + 2
2x+y= -2
Substitution Method! Someone Help!!! ASAP!!!!!
Answer:
no solution
Step-by-step explanation:
Help fast plz What is the length of the missing side? Use the Pythagorean Theorem
Answer:
10
Step-by-step explanation:
6^2+8^2=x^2
36+64=x^2
x=sqrt100
x=10
What is the original price of the item? Explain. Help
Write the sentence as an equation.
w added to 293 is 326
Answer:
let no be x
293+x=326
x=326-293=33
33 is needed to add.
Order the steps in which to solve this expression. The value should be last.
PLEASE HELPPP.
Answer:
Exponents, Multiplication, Division (from left to right), Addition, Subtraction (from left to right), value
Step-by-step explanation:
Which game is not fair?
choosing the correct number between 1 and 10
spinning a spinner that is half red and half blue
flipping a coin
drawing a marble from a bag of 12 red and 12 blue marbles
Answer:
choosing the correct number between 1 and 10
hope my ans helps
plz give brainliest to my answer
be sure to follow me
stay safe
have a good day
36/81 × 10/50 simplest form
Answer:
36/81 x 10/50 is 29/45. Since 29 is a prime number and 45 is not divisible by 29, 29/45 would be the simplest form.
Hope this helps! Brainliest?
Can someone please solve this using quadratic formula 2x^2 -7x -15=0
Solution
x=5
x= -3/2
Hopefully its good
Anji bought 4 shirts for $56.80. She later bought a shirt for $19.20. What was the mean cost of all the shirts in dollars?
Answer:
$15.20
Step-by-step explanation:
When you are asked to find the mean, you would add up the costs of the shirts and then divide them by however many shirts she got.
56.80 + 19.20 = 76
76 ÷ 5 = 15.20
Thus the mean cost is $15.20
Hope this helped!
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. x2 4y2
Answer:
The integral of the volume is:
[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]
The result is: [tex]V = 78.97731[/tex]
Step-by-step explanation:
Given
Curve: [tex]x^2 + 4y^2 = 4[/tex]
About line [tex]x = 2[/tex] --- Missing information
Required
Set up an integral for the volume
[tex]x^2 + 4y^2 = 4[/tex]
Make x^2 the subject
[tex]x^2 = 4 - 4y^2[/tex]
Square both sides
[tex]x = \sqrt{(4 - 4y^2)[/tex]
Factor out 4
[tex]x = \sqrt{4(1 - y^2)[/tex]
Split
[tex]x = \sqrt{4} * \sqrt{(1 - y^2)[/tex]
[tex]x = \±2 * \sqrt{(1 - y^2)[/tex]
[tex]x = \±2 \sqrt{(1 - y^2)[/tex]
Split
[tex]x_1 = -2 \sqrt{(1 - y^2)}\ and\ x_2 = 2 \sqrt{(1 - y^2)}[/tex]
Rotate about x = 2 implies that:
[tex]r = 2 - x[/tex]
So:
[tex]r_1 = 2 - (-2 \sqrt{(1 - y^2)})[/tex]
[tex]r_1 = 2 +2 \sqrt{(1 - y^2)}[/tex]
[tex]r_2 = 2 - 2 \sqrt{(1 - y^2)}[/tex]
Using washer method along the y-axis i.e. integral from 0 to 1.
We have:
[tex]V = 2\pi\int\limits^1_0 {(r_1^2 - r_2^2)} \, dy[/tex]
Substitute values for r1 and r2
[tex]V = 2\pi\int\limits^1_0 {(( 2 +2 \sqrt{(1 - y^2)})^2 - ( 2 -2 \sqrt{(1 - y^2)})^2)} \, dy[/tex]
Evaluate the squares
[tex]V = 2\pi\int\limits^1_0 {(4 +8 \sqrt{(1 - y^2)} + 4(1 - y^2)) - (4 -8 \sqrt{(1 - y^2)} + 4(1 - y^2))} \, dy[/tex]
Remove brackets and collect like terms
[tex]V = 2\pi\int\limits^1_0 {4 - 4 + 8\sqrt{(1 - y^2)} +8 \sqrt{(1 - y^2)}+ 4(1 - y^2) - 4(1 - y^2)} \, dy[/tex]
[tex]V = 2\pi\int\limits^1_0 { 16\sqrt{(1 - y^2)} \, dy[/tex]
Rewrite as:
[tex]V = 16* 2\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]
[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]
Using the calculator:
[tex]\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy = \frac{\pi}{4}[/tex]
So:
[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]
[tex]V = 32\pi * \frac{\pi}{4}[/tex]
[tex]V =\frac{32\pi^2}{4}[/tex]
[tex]V =8\pi^2[/tex]
Take:
[tex]\pi = 3.142[/tex]
[tex]V = 8* 3.142^2[/tex]
[tex]V = 78.97731[/tex] --- approximated
Find the rate of change in table plsss helppp!!!!
Answer:
.25 is the answer
Step-by-step explanation:
.5/2=.25
Question
Find the third degree polynomial function that has an output of 320 when x = 4, and has zeros 2 and
-8i
Answer:
[tex]f(x)=2(x-2)(x^2+64)[/tex]
Step-by-step explanation:
A standard polynomial in factored form is given by:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where p and q are the zeros.
We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.
First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.
Therefore, we acquire:
[tex]f(x)=a(x-(2))(x-(-8i))(x-(8i))[/tex]
Simplify:
[tex]f(x)=a(x-2)(x+8i)(x-8i)[/tex]
Expand the second and third factors:
[tex]=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64[/tex]
Hence, our function is now:
[tex]f(x)=a(x-2)(x^2+64)[/tex]
It equals 320 when x = 4. Therefore:
[tex]320=a(4-2)(4^2+64)[/tex]
Solve for a. Evaluate:
[tex]320=(2)(80)a[/tex]
So:
[tex]320=160a\Rightarrow a=2[/tex]
Our third-degree polynomial equation is:
[tex]f(x)=2(x-2)(x^2+64)[/tex]
Answer:
f(x)=2(x-2)(x^2+64)
Step-by-step explanation:
YOU WILL HAVE BRAINLEST LITERALLY!
A large store has the same number of workers on each of
2 teams to handle
different shifts. They decide to add 10 workers to each team, bringing the
total number of workers to 140. An executive at the company that runs this
chain of stores wants to know how many employees were in each team before
the increase.
A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism? Enter your answer in the box.
Answer is in the file below
cutt.us/brainly
A=352in2
A=2(wl+hl+hw)=2·(8·12+4·12+4·8)=352in²
if it costs $4 to make 3 cards, and $6 to make 7 cards, what's the total cost of making 25 cards?
Answer:
Step-by-step explanation:
7+3 = 10 $4+$6=$10
so it costs 10 dollars to make ten cards, how many times does 10 go into 25? 2
so $20 so far, I'm not that good at explaining.
Now with the remaining 5 cards that we have to make, we add three and have 24$ for 23 cards. Now with the remaining two cards we add $1.50.
because 2 x 1.50 = 3
so $25.50 for 25 cards I think...
I really hope I'm right and I hope this helps!