Answer:
56 Chickens
36 Cows
Step-by-step explanation:
You can set this up as a system of equations:
(x=chickens, y=cows)
[tex]\left \{ {{92 = x+y} \atop {256=2x+4y}} \right. \\[/tex]
To solve this system, first we can solve for x in the top equation:
[tex]x=92-y[/tex]
Next, we can plug in x to the second equation and solve for y:
[tex]256=2(92-y)+4y\\256=184+2y\\2y=72\\y=36[/tex]
And now that we have y, we can plug it into the first equation and solve for x:
[tex]92=x+36\\x=56[/tex]
[tex] \displaystyle\red{ \sf\lim_{x \to {0}^{ + } }\frac{1}{ {sin}^{2}x } \int _{ \frac{x}{2} }^{x} {sin}^{ - 1} t \: dt}[/tex]
Use L'Hopital's rule twice:
[tex]\displaystyle \lim_{x\to0^+} \frac1{\sin^2(x)} \int_{\frac x2}^x \sin^{-1}(t) \, dt = \lim_{x\to0^+} \frac1{\sin^2(x)} \left(\int_0^x \sin^{-1}(t) \, dt - \int_0^{\frac x2} \sin^{-1}(t) \, dt\right) \\\\ = \lim_{x\to0^+} \frac{\sin^{-1}(x) - \frac12 \sin^{-1}\left(\frac x2\right)}{2\sin(x)\cos(x)} ~~~~~~~~~~ (LHR) \\\\ = \lim_{x\to0^+} \frac{2\sin^{-1}(x) - \sin^{-1}\left(\frac x2\right)}{2\sin(2x)} \\\\ = \lim_{x\to0^+} \frac{\frac2{\sqrt{1-x^2}} - \frac1{2\sqrt{1-\frac{x^2}4}}}{4\cos(2x)} ~~~~~~~~~~ (LHR) \\\\ = \lim_{x\to0^+} \frac{\frac2{\sqrt{1-x^2}} - \frac1{\sqrt{4-x^2}}}{4\cos(2x)}[/tex]
The remaining limand is continuous at x = 0, and the limit is
[tex]\displaystyle \lim_{x\to0^+} \frac1{\sin^2(x)} \int_{\frac x2}^x \sin^{-1}(t) \, dt = \frac{2-\frac12}4 = \boxed{\frac38}[/tex]
4. In 2003, Mississippi’s labor force totaled
1,312,700 persons. The unemployment rate in
the state was 5.6 percent. Approximately how
many people were employed in that year?
Round your answer to the nearest thousand.
employed: 1,312,700 people
total people : 1,312,700 unemployment : 5.6%employed : 100% - 5.6% = 94.4%employed people:
94.4% * 1,312,700 1239188.8≈ 1239189 peopleUnemployed persons
5.6% of 13127000.056(1312700)73511Employed persons
1312700-735111238989please show me how you also got the answer as well, thanks a bunch!!
Answer:
Step-by-step explanation:
I SUCK AT MATH PLS HELP
WORTH 1 POINT
GIVING 10
Answer:
34 degrees
Step-by-step explanation:
Assuming that ADJ is a right angle, we can add 4x and 3x-8 and set equal to 90 degrees to simply to get get x.
7x-8=90
Add 8
7x = 98
x= 14
Now that we know x, we can plug in the value to find angle CDJ.
3x-8
3(14)-8
34 degrees
Solve the linear equations below by using:
2x + y = -3
3x - 2y = -8
a. Addition
b. Substitution
c. Graphing
A case of soda has 12 cans. Each can holds 360 milliliters of soda. What is the total
number of liters of soda in the case?
Answer:
4.32 Liters
Step-by-step explanation:
12*360 mL= 4320 mL
mL to L= mL/1000
4320/1000= 4.32
In a lottery, the top cash prize was $657 million, going to three lucky winners. Players pick five different numbers from 1 to 53 and one number from 1 to 43.
A player wins a minimum award of $200 by correctly matching four numbers drawn from the white balls (1 through 53) and matching the number on the gold ball (1 through 43). What is the probability of winning the minimum award?
Answer:
1 chance in 123,396,455
Step-by-step explanation:
Number of permutations of 5 out of the 53 = 53*52*51*50*49 = 344362200
Number of permutations of 4 out of these 5 correct = 120
So number permuations for first 53 = 344362200/ 120 = 2869685
So for minimum prize there are 2869685 * 43 = 123396455 perms.
The Jones' old $47,000, 30 year, 12.8% mortgage has a monthly payment of $512.58. Over the 6 years since they took the loan, mortgage rates dropped. They can now apply for a mortgage at 9.05%, which will result in a new monthly payment of $369.36. To refinance, they must pay $1,020 in closing costs and a $480 prepayment penalty. Find the net amount they will save in the first year.
The net amount that will be saved by the Jones for the first year will be $814.32.
How to calculate the net amount?From the information given, the old mortgage yearly payment will be:
= Monthly payment × Months
= $259.32 × 12
= $3111.84
The new monthly yearly payment will be:
= Monthly payment × Months
= $327.18 × 12
= $3926.16
Therefore, the net amount that will be saved will be:
= $3926.16 - $3111.84
= $814.32
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A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 12 ft shorter than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 6 ft less than the length of the ladder? C The top of the ladder is ___ ft up the side of the building?
Answer:
The answer for this question is 2 ft
Step-by-step explanation:
12ft÷6ft=2
Which of the equations below is a line parallel to the line y = 5x - 2?
Answer:
An unlimited number of lines are parallel to the line described by y = 5x + 2. The requirement is that it is in the form y = 5x + b, b ≠ 2.
Step-by-step explanation:
WHOEVER ANSWERS CORRECT AND FIRST WILL GET BRAINLIEST! How long does it take an elevator to go from the ground floor to the observation deck at a height of 869 feet?
so for a height of 869 feet the time will be 21.725s
[tex]1s = 40ft \\ x = 869ft \\ x= \frac{869}{40} \\ x = 21.725ft[/tex]
The mean of the ages of 5 brothers is 13 years.
12, 16, O, 14, 8
Answer:
O = 15
Step-by-step explanation:
.mean ' is the average
(12 + 16 + O + 14 + 8) / 5 = 13
50 + O = 65
O = 15
f(X)= _3 x²_7x_9
f(_5) +f(2)=
Answer:
Step-by-step explanation:
[tex]-3x^2-7x-9=F(x)[/tex]
[tex]F(-5)=-75+40-9=-49[/tex]
[tex]F(2)=-12-14-9=-35[/tex]
[tex]f(-5)+f(2)=-49-35=-84[/tex]
Select the correct answer.
A company designs a new water pitcher. They take a picture of the pitcher for their promotional materials. What is the approximate area filled
by the water in the picture on the flyers?
5 in
4 in
3 in
12 in
8 in
О А.
about 48 in?
B. about 66 in?
Oc about 32 in?
OD. about 80 in?
Applying the area of trapezium, the approximate area filled by water in the picture would be close to: about 48 in.²
What is the Area of a Trapezium?Area of trapezium = 1/2(a + b)h.
The following are dimensions of the area of the trapezium filled with water:
Level of water (a) = median of the bigger trapezium = (3 + 8)/2 = 5.5 = 6 in.b = 8 in.Height ≈ 12/2 = 6 in.Area = 1/2(6 + 8) × 6 = 42 in.²
Therefore, applying the area of trapezium, the approximate area filled by water in the picture would be close to: about 48 in.²
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For this question, I solve Q.1, but I cannot solve Q2.
Q1. Suppose that the balance of a person’s bank account in Superior, WI is normally distributed with mean $580 and standard deviation $125. Find the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents.
Q2. For the same setup as in Problem 2, find the probability a random person from
Superior has less than $400 or more than $1000 in their bank account.
The amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p-value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
Let we take:
X = The balance of a person’s bank account in Superior, WI
Then, by the given data, we have:
[tex]X \sim N(\mu = 580, \sigma = 125)[/tex]
Let the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents be X = x dollars. This is the money, below which lie 80% of Superior, WI residents, and so as their income, or values of X.
Symbolically, we have:
[tex]P(X < x) = 80\% = 0.8[/tex]
Converting X to standard normal variate Z, we have:
[tex]Z = \dfrac{X - \mu}{\sigma} = \dfrac{X - 580}{125}\\[/tex]
Thus, the probability statement can be rewritten as:
[tex]P(X < x) =0.8\\P\left( Z < z = \dfrac{x -580}{125} \right) = 0.8[/tex]
From the z-tables, the value of Z for which the p-value comes out as between 0.84 and 0.85, let it be their average 0.845.
Thus, we get:
[tex]P(Z < z = 0.845) \approx 0.8[/tex]
Thus, we get:
[tex]z = \dfrac{x - 580}{125} \approx 0.8\\\\x \approx 0.8 \times 125 + 580 = 680[/tex]
Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx.
Now, for second question, we need:
The probability a random person from Superior has less than $400 or more than $1000 in their bank account.
So, income of a random person from Superior is a random value of X.
So, this probability is written as:
[tex]P(400 < X < 1000)[/tex]
Rewritting it, we get:
[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)[/tex]
Converting X to Z (standard normal variate), we get:
[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)\\\\P(400 < X < 1000) = P\left(Z < \dfrac{1000-580}{125} \right) - P\left(Z \leq \dfrac{400-580}{125} \right)\\\\P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)[/tex]
The p-value for Z = 3.36 is 0.9996
The p-value for Z = -1.44 is 0.0749
Thus, we get:
[tex]P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)\\\\P(400 < X < 1000) = 0.9996 - 0.0749 = 0.9247[/tex]
Thus, the probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247
Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247
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#SPJ1
your checking account balance as ameasure of money you have in that account which type of scale nominal,ordinal?
Answer:
Ratio
Step-by-step explanation:
1. Your checking account number as a name for your account. Nominal (renaming)
2. Your checking account balance as a measure of the amount of money you have in that account. Ratio
3. Your checking account balance as a measure of your wealth. Interval
4. The number you get from a machine (32, 33,...) as a measure of the time you arrived in line. Ordinal
5. The order in which you were eliminated in a spelling bee as a measure of your spelling ability. Interval
6. Your score on the first statistics test as a measure of your knowledge of statistics. Ratio
7. Your score on an individual intelligence test as a measure of your intelligence. Nominal
8. The distance around your forehead measured with a tape measure as a measure of your intelligence. Interval
9. A response to the statement "Abortion is a woman's right" where Strongly Disagree = 1, Disagree = 2, No Opinion = 3, Agree = 4, and Strongly Agree = 5, as a measure of attitude toward abortion. Ordinal
hope it helps:)
Given the functions f(x) = –4x + 5 and g(x) = x3 + x2 – 4x + 5, what type of functions are f(x) and g(x)? Justify your answer. What key feature(s) do f(x) and g(x) have in common? (Consider domain, range, x-intercepts, and y-intercepts.)
The f(x) has a degree of 1, hence it is linear in nature while g(x) is a polynomial function because of the third degree.
The key features that they have in common are the y-intercept, domain, and range
Linear and quadratic equationsLinear equations are equations that has a degree of 1 while polynomial equations are equations that has a degree of 2 and above.
Given the following functions
f(x) = –4x + 5 and;
g(x) = x^3 + x^2 – 4x + 5
Since the f(x) has a degree of 1, hence it is linear in nature while g(x) is a polynomial function because of the third degree.
The key features that they have in common are the y-intercept, domain and range
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If
a
1
=
8
a
1
=8 and
a
n
=
5
a
n
−
1
+
5
a
n
=5a
n−1
+5 then find the value of
a
5
a
5
.
Answer:
55a=
step-by-step explanation:
Answer:
-3125
Step-by-step explanation:
Got it right on delta
40% if what number is 46?
Answer:
40 percent of 46 is 18.4.
how do i multiply 30 by -20
Multiplication of a positive number and negative number
⇒ is like any other multiplication
30 * -20 = 30 * ((-1) * 20) = 30 * -1 * 20 = (-1) * 600 = -600
Hope that helped!
The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written is all I haven’t figured out
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex] \qquad \sf \dashrightarrow \:y = a \sin(bx) + k[/tex]
Now, let's find the required values :
period (p) = 4
[distance between any successive Crest or trough]
a = - 3 (flipped)
b = 2π/p = 2π/4 = π/2
k = 1
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]
Which expression is a factored form of
3n² - 4n - 4
Answer choices.............................
................................................
ANSWER
for reference of other who need it. cuz I needed it and it wasn't on here
A: (n+2) (3n +1)
Answer:
The answer is (n – 2) (3n + 2)
Step-by-step explanation:
3n² – 4n – 4
3n² – 6n + 2n – 4
3n(n – 2) + 2(n – 2)
(n – 2) (3n + 2)
Thus, (n – 2) (3n + 2) is a factored of
3n² - 4n - 4
Lines a, b, c, and d Intersect as shown.
124
95
42°
53
39°
95°
What is x ?
Answer:
95 is the answer I took the test
What is the name given to a polynomial with 10 terms
Answer:
It should be called A decic polynomial
Step-by-step explanation:
What is the 6th term in this sequence? 1, 3, 9, 27, . . .
Answer:
a₆ = 243
Step-by-step explanation:
there is a common ratio between consecutive terms , that is
3 ÷ 1 = 9 ÷ 3 = 27 ÷ 9 = 3
this indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ × [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = 3 , then
a₆ = 1 × [tex]3^{5}[/tex] = 243
243
Solution:We have a geometric sequence here, meaning that we use multiplication/division in order to get to the next term.In this case, we multiply each term by 3.1 times 3 is 3, 3 times 3 is 9, 9 times 3 is 27...In order to find the sixth term, we should take the fifth term and multiply it by 3.In order to find the fifth term, we need to take the fourth term and multiply it by 3.Multiply:81So the fifth term of this sequence is 81.Now, multiply 81 times 3:243Therefore, the sixth term in this sequence is equal to 243.Hope it helps.
Do comment if you have any query.
5 questions! Math, answer by saying "question __ is ____ " thank you! picture included! 50 points!
Answer:
1.c
2.a
3.d
4.b
5.b
Step-by-step explanation:
I found the answers on a web site.
Answer:
1.A
2.D
3.C
4.B
5.A
Step-by-step explanation:
If Alex did 3/6 and then 1/4 of his homework, how much more does he need in order to finish ALL of his homework?
A triangle is inside of a rectangle. The triangle has a height of h and a base of b. Section 1 is to the left of the triangle, and section 2 is to the right.
Look at the drawing of a triangle within a rectangle. The triangle and the rectangle have the same base, b, and height, h.
If the area of the triangle is 48 square units, what is the total area of sections 1 and 2?
square units
Answer:
I think its 40
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
Got it right on the assignment.
Hope this helps!!
For problems 11-14, identify the property shown. 11. 16×p=16.
Answer:
Step-by-step explanation:
11. identity property
12. associative property
13. commutative property
14. zero property
*50 POINTS* Pls HELP. ANSWER THE QUESTION IN THE PIC!
Answer:
D
Step-by-step explanation:
Here's why I think it's D.
y = x + 44 is the equation the car wash owner uses
x represents the number of days
y represents the number of cars (washed)
so if we plug in one of the given numbers (from the chart)
example:
Day 2 Numbers of Cars Washed 44
2 will represent the "number of days" also known as x
44 will represent the "number of cars" also known as y
so if we plug in those values to the equation the car wash owner uses
y = x + 44, it doesn't match
__________________________________
(44) = 2 + (44)
44 [tex]\neq[/tex] 46
Therefore, I believe the answer is D
Answer:
D
Step-by-step explanation:
It is not a good fit for the dataThere should equal number of points below and above the x-axis in the residual plotThe given equation : y = x + 44 does not match the given data