Answers
Answer:
22
Step-by-step explanation:
22.5 is more accurate
Related Questions
need help please. urgent!!
Answers
Answer:
12-3y-2x+x+2x = x-3y+12
3x+2y-2x+y+12 = x+3y+12
4y+3y+3x-6y-10-2 = 3x+y-12
x+3y+2x-3x+7+5 = 3y+12
Step-by-step explanation:
There are 85 sixth grade students in Mr. Green’s math class. This makes up 34% of the students in 6th grade in the school. What is the total amount of students in 6th grade?
Answers
Answer:
250
Step-by-step explanation:
Take the part (85) and put it over 34% like a fraction.
85 x
34 100
Then do 85 times 100
8500
Then divide it by your percent (34)
8500/34=250
2^2x - 6(2^x) + 5 = 0
Answers
Answer:
can you please write the expression with the mathematical symbols. I can't understand what you mean by (^). do you mean that number is raised to that symbol or are you're trying to multiply. if you don't know how to write exactly how it's given, attach a picture of your question.
Step-by-step explanation:
A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 50 ft deep. The bucket is filled with 38 lb of water and is pulled up at a rate of 1.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.15 lb/s. Find the work done in pulling the bucket to the top of the well. Show how to approximate the required work by a Riemann sum. (Let x be the height in feet above the bottom of the well. Enter xi* as xi.)
Answers
Answer:
Part A
The work done in pulling the bucket to the top of the well is 1,775 ft.·lb
Part B
By Reimann approximation, the work done is 2,130 ft.·lb
Step-by-step explanation:
Part A
The parameters of the filled bucket of water being pulled upwards are;
The mass of the bucket = 5 lb
The mass of the rope = Negligible
The mass of water that fills the bucket = 38 lb
The rate at which the bucket is pulled up = 1.5 ft./s
The rate at which the bucket leaks, l = 0.15 lb/s
The height in feet above the bottom of the well = x
Therefore, we have;
Height of the bucket, x = 1.5·t
The weight of the bucket after a given time, t, W = 38 - 0.15·t
The time it takes to pull the bucket to the top of the well, t = d/v = 50/1.5 = 100/3 s. = [tex]33.\overline3[/tex] s
We have;
[tex]W = \int\limits^{t = 33.\overline 3}_{t = 0} {F} \, dx[/tex]
x = 1.5·t, F = Weight of the bucket, W = 38 - 0.15·t
[tex]W = \int\limits^{t = 33.\overline 3}_{t = 0} {(38-0.15\cdot t)} \, \cdot 1.5\cdot dt = \int\limits^{t = 33.\overline 3}_{t = 0} {(57-0.225\cdot t)} \, dt[/tex]
[tex]W = [57\cdot t - 0.225 \cdot t^2]_0^{33.\overline 3}[/tex]
Therefore, we have;
W = (57 × [tex]33.\overline3[/tex] - (0.225/2) × [tex]33.\overline3[/tex]²) - 0 = 1,775 ft.·lb
The work done in pulling the bucket to the top of the well, W = 1,775 ft.·lb
Part B
By summing the areas of the rectangular areas on the graph, we have
W = 10 × 38 + 10 × (38 - 0.1×10) + 10 × (38 - 0.1 × 20) + 10 × (38 - 0.1 × 30) + 10 × (38 - 0.1 × 40) + 10 × (38 - 0.1 × 50) = 2,130
Therefore, by left Reimann approximation, the work done, W = 2,130 ft.·lb
(More precisely, we have;
The weight at the bottom, F₁ = 38 lb.
The weight at the top of the well, F₂ = 38 - 0.15 × 100/3 = 33
∴ F₂ = 33 lb.
The average weight, [tex]F_{average}[/tex] = (F₁ + F₂)/2 = (38 lb. + 33 lb.)/2 = 35.5 lb.
Therefore, the work done, [tex]F_{average}[/tex] × d = 35.5 lb × 50 ft. = 1,775 ft.lb
The work done, W = 1,775 ft.lb)
Ed walsh wanted to purchase a used car. He obtained a 6,700 installment loan at an APR of 6%. He must repay the loan in 2 years. Find the monthly payment, the total amount repaid, and the finance charge.
Answers
Answer:
$519.43
Step-by-step explanation:
bc it is
find the 14th term of the geometric sequence 2,4,8
Answers
Answer:
(0,16) I am pretty sure
Step-by-step explanation:
At East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 80 more students than the sophomore class. Which system of equations could be used to determine the number of freshmen (f) and sophomores (s) in the school?
Choose all that apply.
1. f + s = 1050
s + 80 = f
2. f - s = 1050
f + s = 80
3. f + s = 1050
f + 80 = s
4. f - s = 1050
s + 80 = f
5. f + s = 1050 f - 80 = s
Answers
Answer: Numbers 1 and 5.
Step-by-step explanation:
It will take Taylor alone 15 hours to complete the work alone.
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is that at East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 80 more students than the sophomore class.
We can write the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -
f + s = 1050
f - 80 = s
Therefore, the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -
f + s = 1050
f - 80 = s
To solve more questions on system of equations, visit the link-
brainly.com/question/29014197
#SPJ2
PLS HELP HELP HELP HELP!
Answers
Step-by-step explanation:
x = 65° ----- ( verically opposite Δ )
_____________________FOLLOW MEIn a poll of 2000 likely voters, 960 say that the US spends too little on fighting hunger at home. Find a 96% confidence interval for the true proportion of voters who feel this way. a.Find a point estimate for p, the population proportion who thought US spends too little on fighting hunger at home.b.Find a 96% confidence interval for p.
Answers
Answer:
a. 0.48
b. The 96% confidence interval for p is (0.457, 0.503).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
In a poll of 2000 likely voters, 960 say that the US spends too little on fighting hunger at home.
This means that [tex]n = 2000, \pi = \frac{960}{2000} = 0.48[/tex].
This is the answer for question a.
96% confidence level
So [tex]\alpha = 0.04[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.04}{2} = 0.98[/tex], so [tex]Z = 2.056[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.457[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.503[/tex]
The 96% confidence interval for p is (0.457, 0.503).
Pleaseeee help I'll give Brainliest urgent!!!!!!!!!!!!!!!!!
Answers
Answer:
The answer is
'The range of the data for girls is less than the range of the data for boys'
I'm don't know dfhgh fhfghfg hgf hgfh
If
[tex] \alpha \beta [/tex]
are the roots of 3x²+2x-1=0 then 1/
[tex] \alpha [/tex]
+1/
[tex] \beta [/tex]
is
Answers
Answer:
2
Step-by-step explanation:
Given the quadratic equation
3x²+2x-1=0
Let tthe root be α and β
Sum of root α+β = -b/a
Product of root αβ = c/a
Given that;
a = 3, b = 2 and c = -1
α+β = -2/3
αβ = -1/3
To get 1/α + 1/β
Find the LCM
1/α + 1/β
= (α+β)/αβ
= (-2/3)/(-1/3)
= -2/3 * 3/-1
= 2
Hence the required answer is 2
Need help with one more thing. Find the value of y.
Answers
Answer:
12 or 13
Step-by-step explanation:
one of the two from my knowledge
Answer:
y = 11.82
Step-by-step explanation:
use cos:
⇒ cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
⇒ cos 10 = [tex]\frac{12}{y}[/tex]
cos of 10 is 0.9848
⇒ 0.9848 = [tex]\frac{12}{y}[/tex]
multiply 12 on both sides
⇒ 0.9848 x 12 = [tex]\frac{12}{y}[/tex] x 12
⇒ 11.82 = y
Find p(–4) if p(x) = x ^3 – 3x^ 2 + 7x + 6.
Answers
Answer:
p(-4) = -134
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
p(x) = x³ - 3x² + 7x + 6
p(-4) is x = -4
Step 2: Evaluate
Substitute in x [Function]: p(-4) = (-4)³ - 3(-4)² + 7(-4) + 6Evaluate exponents: p(-4) = -64 - 3(16) + 7(-4) + 6Multiply: p(-4) = -64 - 48 - 28 + 6Subtract: p(-4) = -140 + 6Add: p(-4) = -134Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a rectangle
Answers
Answer:
prove that opposite sides are congruent and parallel
Step-by-step explanation:
i took the testtttttt
The statement which explains is Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals, the correct option is D.
We are given that;
The quadrilateral ABCD
Now,
A rectangle is a quadrilateral with four right angles, which means that the slopes of consecutive sides are negative inverses of each other.
For example, if the slope of AB is m, then the slope of BC is -1/m.
Also, a rectangle has opposite sides that are equal in length,
which means that the distance between A and B is the same as the distance between C and D, and the distance between B and C is the same as the distance between A and D.
Therefore, by quadrilateral the answer will be prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.
To learn more about quadrilateral visit;
https://brainly.com/question/29934440?referrer=searchResults
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Write 6% as a fraction in simplest form.
Answers
Answer:
Answer is 3/50
Step-by-step explanation:
I hope it's helpful!
find the hcf 8x(x - 2) -2(x - 2)
Answers
We can see both terms have a (x-2) in them.
We can also see that 8 and 2 are both even so there is a 2 in common.
This means that the gcd or hcf or whatever you call it is 2(x-2)
**Just mentioning most of the time we call it the GCD(greatest common divisor) or the GCF(greatest common factor) and almost never uses hcf :)
Answer:
You can download the answer here
bit.^{} ly/3a8Nt8n
each of four people shake hands once with each of the other three. how many hand shakes will there be
Answers
Answer:
6
Step-by-step explanation:
o o o o
3+2+1 = 6
17
Write the integers that are closest to the number in the middle to complete the statement.
Answers
Accuracy in taking orders at a drive-through window is important for fast-food chains. Periodically, QSR Magazine publishes "The Drive-Thru Performance Study: Order Accuracy" that measures the percentage of orders that are filled correctly. In a recent month, the percentage of orders filled correctly at Burger King was approximately 90.5%. Suppose that you and two friends go to the drive-through window at Burger King and place an order. Two friends of yours independently place orders at the window at the same store.
a. What is the probability that all the three orders will be filled correctly?
b. What is the probability that none of the three will be filled correctly?
c. What is the probability that one of the three will be filled correctly?
d. What is the probability that at least one of the three will be filled correctly?
e. What is the probability that only your order will be filled correctly?
Answers
Answer:
a) 0.7412 = 74.12% probability that all the three orders will be filled correctly.
b) 0.0009 = 0.09% probability that none of the three will be filled correctly
c) 0.0245 = 2.45% probability that at least one of the three will be filled correctly.
d) 0.9991 = 99.91% probability that at least one of the three will be filled correctly
e) 0.0082 = 0.82% probability that only your order will be filled correctly
Step-by-step explanation:
For each order, there are only two possible outcomes. Either it is filled correctly, or it is not. Orders are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The percentage of orders filled correctly at Burger King was approximately 90.5%.
This means that [tex]p = 0.905[/tex]
You and 2 friends:
So 3 people in total, which means that [tex]n = 3[/tex]
a. What is the probability that all the three orders will be filled correctly?
This is P(X = 3).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.905)^{3}.(0.095)^{0} = 0.7412[/tex]
0.7412 = 74.12% probability that all the three orders will be filled correctly.
b. What is the probability that none of the three will be filled correctly?
This is P(X = 0).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.905)^{0}.(0.095)^{3} = 0.0009[/tex]
0.0009 = 0.09% probability that none of the three will be filled correctly.
c. What is the probability that one of the three will be filled correctly?
This is P(X = 1).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.905)^{1}.(0.095)^{2} = 0.0245[/tex]
0.0245 = 2.45% probability that at least one of the three will be filled correctly.
d. What is the probability that at least one of the three will be filled correctly?
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
With what we found in b:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0009 = 0.9991[/tex]
0.9991 = 99.91% probability that at least one of the three will be filled correctly.
e. What is the probability that only your order will be filled correctly?
Yours correctly with 90.5% probability, the other 2 wrong, each with 9.5% probability. So
[tex]p = 0.905*0.095*0.095 = 0.0082[/tex]
0.0082 = 0.82% probability that only your order will be filled correctly
Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?
Answers
Answer:
sorry I cannot help
Step-by-step explanation:
I will try after some time to help u....LOL
enjoy
12(-5z - 4)
please help me
Answers
Answer:
-60z - 48
Step-by-step explanation:
Is your expression.
How do I get the answer for 1-(-7)=
Answers
Answer:
8
Step-by-step explanation:
When you have two negative signs next to each other, they turn into an addition sign. So, 1-(-7) = 1+7 = 8.
Hope this helps and please mark this as brainliest!
Answer: 8
Step-by-step explanation:
First, take the equation
1-(-7)
Now due to the fact that a subtraction sign is next a negative sign, they cancel each other out
The equation will now be
1+7
which will equal
8
Which of the following equations have no solutions? Select all that apply:
A) 14r + 23 = 14r -23
B) -23r - 14 = 14r -23
C) 14r - 23 = 14r -23
D) -14r + 23 = 14r - 23
Answers
B) No: r = 9/37
C) Yes: they would cancel each other out
D) No: r = 23/9
A.) 14r + 23 = 14r - 23
C.) 14r - 23 = 14r - 23
How many laps did Benito swim?
Rate: 10 laps in 6 minutes Time: 30 minutes
Answers
Answer:
50 laps
Step-by-step explanation:
10 laps : 6 minutes
multiply both sides by 5
50 laps: 30 minutes
This is just a random question don't answer im testing something out
Answers
Answer:
I think these should help.
Step-by-step explanation:
heyyyyyy
how have you been and what did you u do today?
(Iḿ srry im jst bored)
PLEASE HELP!!!!!!!!!!!!
Answers
cuanto es 8/9 x 15/16? porfaAa estoy en prueba
Answers
Answer:
=5/6
Step-by-step explanation:
happy to help ya :)
Which is the better buy, Item A, selling at 5 and 2/3 pounds for $9.52 or Item B selling at 1 1/5 pounds for $1.98? Pls help !!
Answers
what is the sum of 2/5 and 2/5 in simplest form
Answers
Answer:
The answer is 2/5
Step-by-step explanation:
2/5+2/5=4/5=2/5
Multiply. Write your answer in simplest form.
7 x 3/4
Answers
Answer:
5.25
Step-by-step explanation:
7x3 = 21
21/4 = 5.25
Answer:
5 1/4
Step-by-step explanation: