Answer:
6?Step-by-step explanation:
..........................
A farmer makes a rectangular enclosure for his animals.
He uses a wall for one side and a total of 72 metres of fencing for the other three sides.
The enclosure has width x metres and area A square metres.
Show that A = 72x - 21.
Answer:
Remember that, for a rectangle of length L and width W, the area is:
A =L*W
And the perimeter is:
P = 2*(L + W)
In this case, we know that:
W = x
Let's assume that one of the "length" sides is on the part where the farmer uses the wall.
Then the farmer has 72 m of fencing for the other "length" side and for the 2 wide sides, then:
72m = L + 2*x
isolating L we get:
L = (2x - 72m)
Then we can write the area of the rectangle as:
A = L*x = (2x - 72m)*x
A = 2*x^2 - 72m*x
(you wrote A = 72x - 21, I assume that it is incorrect, as the area should be a quadratic equation of x)
Solve (2x-1)^2=8 using the quadratic formula
Step-by-step explanation:
The given equation is :
[tex](2x-1)^2=8[/tex]
or
[tex](2x-1)=\sqrt{8}\\\\2x-1=\pm 2\sqrt2\\\\2x=\pm 2\sqrt2 +1\\\\x=\dfrac{2\sqrt2 +1}{2}\\\\x=\pm (\sqrt 2+\dfrac{1}{2})\\\\or\\\\x=\sqrt2+\dfrac{1}{2},-\sqrt2-\dfrac{1}{2}[/tex]
Hence, this is the required solution.
can someone help asap!!
7/9÷4/9=7/4
= 1/3/4
Hence, a=1, b=3, c=4.
hope it helps:)))
Determine whether the given ordered pair is a solution to the given equation.
(0,-5) x+4y=-20
yes
Substitute x and y into the
equation we have
0+4 .(-5)=-20
<=>-20=-20
satisfy the condition
Fay has a lemonade stand. She spends £35 on ingredients. She sells each glass of lemonade for £2.10. If she sells 50 glasses of lemonade, what is her total profit?
Answer:
£70.00
Step-by-step explanation:
You basically want to find what she spent in total, then subtract the amount she spent on ingredients.
50 glasses of lemonade at £2.10 each would be £105. (50*2.1)
Subtract the cost of ingredients, which is £35, with the total she made, £105, to get £70 (105-35)
Write a ratio for the following description: For every 6 cups of the flour in a bread recipe, there are two cups of milk.
find the 6th term .
16,48,144
Step-by-step explanation:
a=16
r=3
48/16=3
144/16=3
6th term
=ar^(n-1)
= 16(3)^(6-1)
=3888
The quadratic function y = -x2 + 10x - 8 models the height of a trestle on a bridge. The x-axis represents ground level.
To find where the section of the bridge meets ground level, solve 0 = -x2 + 10x - 8.
Where does this section of the bridge meet ground level?
Answer: 0.876, 9.123
Step-by-step explanation:
The function is [tex]y=-x^2+10-8[/tex]
It meets the ground level when [tex]y[/tex] is 0
[tex]\Rightarrow -x^2+10x-8=0\\\Rightarrow x^2-10x+8=0\\\\\Rightarrow x=\dfrac{10\pm \sqrt{(-10)^2-4(1)(8)}}{2}\\\\\Rightarrow x=\dfrac{10\pm \sqrt{68}}{2}\\\\\Rightarrow x=5\pm \sqrt{17}\\\Rightarrow x=0.876,\ 9.123[/tex]
Thus, it touches the ground at two points given above
pls helppppppppppp it’s timedddd
Answer:
HI=15
Step-by-step explanation:
HI=sqrt(17^2-8^2)=sqrt(225)=15
P=8+15+17=40
S=8*15/2=60
Answer:
Step-by-step explanation:
for side HI
hypotenuse = 17
other two sides are 8 and HI . Hi has to be find so let it be x.
using pythagoras theorem
a^2 + b^2 = c^2
x^2 + 8^2 = 17^2
x^2 + 64 = 289
x^2 = 289 - 64
x^2 = 225
x = [tex]\sqrt{225[/tex]
x = 15
for angle G
take angle G as reference angle
using sin rule
sin G = opposite / hypotenuse
sin G = 15 / 17
sin G = 0.882
G = [tex]sin^{-1} (0.882)[/tex]
G = 61.884°
G = 61.88°
for angle I
angle G + angle H + angle I = 180 degree (being sum of interior angles of a triangle)
61.88° + 90° + angle I = 180°
151.88° + angle I =180°
angle I = 180°- 151.88°
angle I = 28.12°
Choose the conditional statement that can be used with its converse to form the following biconditional statement: "It is a leap year if and only if the year has 366 days."
A. If it is not a leap year, then it does not have 366 days.
B. If it is a leap year, then the year has 366 days.
C. If a leap year has 366 days, then this is a leap year. D. If a year does not have 366 days, then it is not a leap year
Given the biconditional statement: "It is a leap year if and only if the year has 366 days.", the converse to form it is "If the year has 366 days, then this is a leap year". (Right choice: C)
How to determine the propositional form of a sentence
According to logics, propostions are truth bearers that makes sentences true or false. In linguistics, propositions are the meaning of declarative sentences. There are simple and composite propositions, the latter are formed by one simple proposition at least and logic connectors. There are five logic connectors:
Conjuction X ∧ Y ("and" operator)Disjunction X ∨ Y ("or" operator)Negation ¬ X ("not" operator)Implication/Conditional X ⇒ Y ("if-then" operator)Double implication/Biconditional X ⇔ Y ("if-only if" operator)By logic rules we know that the double implication/biconditional is commutative operator:
(X ⇔ Y) ⇔ (Y ⇔ X)
In addition, a double implication/biconditional has the following equivalence:
(X ⇒ Y) ∧ (Y ⇒ X)
Where Y ⇒ X is the converse of X ⇒ Y.
Therefore, the converse to form the statement "It is a leap year if and only if the year has 366 days" is Y ⇒ X: "If the year has 366 days, then this is a leap year".
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The following are the temperatures of 10 days in winter in °C.
6, 5, 3, -4, 3, -3, 2, -1, -2, 0
Work out the mean temperature
Answer:
0.9
Step-by-step explanation:
To find the mean temperature, we have to add all of the numbers together and divide that by the amount of numbers there are.
6 + 5 + 3 + -4 + 3 + -3 + 2 + -1 + -2 + 0 = 9
There are 10 numbers.
Our mean, or average, would be 9 / 10 = 0.9
The graph of g(x) = (x + 2)2 is a translation of the graph of f(x) by units.
1. Left 2. 2 units
3. Right 4. 3 units
EDGE 21
Answer:
Left 2 units
Step-by-step explanation:
Without knowing what f(x), it is impossible to answer this question. I'll answer assuming a parent function of [tex]f(x)=x^2[/tex].
In the function [tex]y=(x-c)^2[/tex], [tex]c[/tex] represents the phase shift from parent function [tex]f(x)=x^2[/tex]. If [tex]c[/tex] is positive (e.g. [tex](x-3)^2[/tex]), then the function shifts to the right however many units [tex]c[/tex] is. If [tex]c[/tex] is negative (e.g. [tex](x+5)^2[/tex]), the function shifts to the left however many units the absolute value of [tex]c[/tex] is.
In the function [tex]g(x)=(x+2)^2[/tex], let's find out the value of [tex]c[/tex]:
Format: [tex]y=(x-c)^2[/tex]
[tex]g(x)=(x+2)^2=(x-(-2))^2[/tex]
Therefore, [tex]c=-2[/tex].
Since [tex]c[/tex] is negative, the function must shift to the left. To find out how many units it shifts to the left, take the absolute value of [tex]c[/tex]:
[tex]|-2|=\boxed{2\text{ units to the left}}[/tex].
Thus, the graph of [tex]g(x)=(x+2)^2[/tex] is a translation of the graph [tex]f(x)=x^2[/tex] by 2 units to the left.
*Note: Once again, this answer is assuming [tex]f(x)=x^2[/tex] as it is not clarified in the question. If [tex]f(x)\neq x^2[/tex] and is already shifted, you will need to account for shift. If you believe this is the case, feel free to let me know in the comments.
The sum of two numbers is 12 The product of the smaller
umber and 3 is -6. Find
the numbers
Answer:
-2 and 14
Step-by-step explanation:
-2×3=-6-2+14=12The numbers are -2 and 14
What is algebraic expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
given
Let smaller number be x and larger number be y
x * 3 = -6
x = -6/3 = -2
x+y = 12
-2 + y = 12
y = 12+2 = 14
to learn more about algebraic expression refer to:
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một nhà máy có 3 phân xưởng, tỉ lệ là 20%, 30%, 50%. tỉ lệ sản phẩm loại một của các phân xưởng lần lượt là 90%, 85%, 80%
lấy ngẫu nhiên 1 sản phẩm của nhà máy, tính xác suất để được sản phẩm loại một
Answer:
83.5%
Step-by-step explanation:
90% × 20% + 85% × 30% + 80%× 50%
Chung has 6 trucks and 5 cars in his toy box. Brian has 4 trucks and 5 cars in his toy box.
Which is the correct comparison of their ratios of trucks to cars?
StartFraction 6 Over 4 EndFraction less-than StartFraction 5 Over 5 EndFraction
StartFraction 6 Over 4 EndFraction greater-than StartFraction 5 Over 5 EndFraction
StartFraction 6 Over 5 EndFraction less-than StartFraction 4 Over 5 EndFraction
StartFraction 6 Over 5 EndFraction greater-than StartFraction 4 Over 5 EndFraction
Given:
Chung has 6 trucks and 5 cars in his toy box.
Brian has 4 trucks and 5 cars in his toy box.
To find:
The correct comparison of their ratios of trucks to cars.
Solution:
The ratio of trucks to cars is defined as:
[tex]\text{Ratio}=\dfrac{\text{Number of trucks}}{\text{Number of cars}}[/tex]
Chung has 6 trucks and 5 cars in his toy box. So, the ratio of trucks to cars is:
[tex]\text{Ratio}=\dfrac{6}{5}[/tex]
Brian has 4 trucks and 5 cars in his toy box.
[tex]\text{Ratio}=\dfrac{4}{5}[/tex]
We know that,
[tex]6>4[/tex]
[tex]\dfrac{6}{5}>\dfrac{4}{5}[/tex]
Therefore, the correct option is D.
Answer:
what the guy above me said
Step-by-step explanation:
so yeah he is right points
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 181000 dollars. Assume the standard deviation is 31000 dollars. Suppose you take a simple random sample of 60 graduates.
Find the probability that a single randomly selected policy has a mean value between 172595.6 and 196608.1 dollars.
P(172595.6 < X < 196608.1) =
(Enter your answers as numbers accurate to 4 decimal places.)
Find the probability that a random sample of size
n
=
60
has a mean value between 172595.6 and 196608.1 dollars.
P(172595.6 < M < 196608.1) =
(Enter your answers as numbers accurate to 4 decimal places.)
Answer:
0.2979 = 29.79 probability that a single randomly selected policy has a mean value between 172595.6 and 196608.1 dollars.
0.982 = 98.2% probability that a random sample of size 60 has a mean value between 172595.6 and 196608.1 dollars.
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 establishes 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.
On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 181000 dollars. Assume the standard deviation is 31000 dollars.
This means that [tex]\mu = 181000, \sigma = 31000[/tex]
Find the probability that a single randomly selected policy has a mean value between 172595.6 and 196608.1 dollars.
This is the p-value of Z when X = 196608.1 subtracted by the p-value of Z when X = 172595.6. So
X = 196608.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{196608.1 - 181000}{31000}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915
X = 172595.6
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{172595.6 - 181000}{31000}[/tex]
[tex]Z = -0.27[/tex]
[tex]Z = -0.27[/tex] has a p-value of 0.3936
0.6915 - 0.3936 = 0.2979
0.2979 = 29.79 probability that a single randomly selected policy has a mean value between 172595.6 and 196608.1 dollars.
Sample of 60:
This means that [tex]n = 60, s = \frac{31000}{\sqrt{60}}[/tex]
Now, the probability is given by:
X = 196608.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{196608.1 - 181000}{\frac{31000}{\sqrt{60}}}[/tex]
[tex]Z = 3.9[/tex]
[tex]Z = 3.9[/tex] has a p-value of 0.9999
X = 172595.6
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{172595.6 - 181000}{\frac{31000}{\sqrt{60}}}[/tex]
[tex]Z = -2.1[/tex]
[tex]Z = -2.1[/tex] has a p-value of 0.0179
0.9999 - 0.0179 = 0.982
0.982 = 98.2% probability that a random sample of size 60 has a mean value between 172595.6 and 196608.1 dollars.
This question is mildy difficult and i need some help would anyone please help me
Answer:
30 and 45 degrees
Step-by-step explanation:
Joe told Mickey he got an hourly raise at work and his new rate will be $10.25 per hour. Mickey wants to know what Joe’s hourly rate was before his raise. If r represents the amount of the raise, which expression represents Joe’s hourly rate before his raise?
Answer:10.25-r= hourly rate
Step-by-step explanation:
Trình bày phương pháp tìm ma trận nghịch đảo bằng phép biến đổi sơ cấp. Áp dụng tìm ma trận nghịch đảo của ma trận
Answer:
bukhayung saging my faborito
how much greater is the volume of the refrigerator than the volume of the top part
Answer:
volume quantity is hjaj
find the interior angle of a regular polygon with 20 sides. What is the size of exterior angle
Answer: 18
Step-by-step explanation:
360/20 = 18
Which equation is equivalent to 2x^2-24x-14=0
Answer:
Step-by-step explanation:
I don't know what the answer is if I am not given choices, but here is one possibility.
2(x^2 - 12x - 7)
You could factor what is inside the brackets.
2(x - 12.557) (x + 0.557)
Answer:
Step-by-step explanation:
since it is in the form of quadration equation , we can use quadratic formula . In quadratic equation we get the two values of x . one will be positive and another will be negative.
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST
Answer:
height = (3x + 3)
Step-by-step explanation:
area of rectangular prism = length *breadth
2x^2 + 3x = length*breadth
volume of a rectangular prism = length * breadth *height
6x^3 + 13x^2 + 6x = (2x^2 + 3x) *height
x(6x^2 + 13x + 6) = x(2x + 3) *height
a nd x gets cancel . So,
(6x^2 + 13x + 6) = (2x + 3) *height
6x^2 + (9 + 4)x + 6 = (2x + 3) *height
6x^2 + 9x + 4x + 6 = (2x + 3) *height
3x(2x +3) +2(2x +3) = (2x + 3) *height
(3x + 2)(2x + 3) = (2x + 3)*height
(3x + 2)(2x + 3) / (2x + 3) = height
(2x + 3 ) of numerator and (2x + 3) of denominator gets cancel
(3x + 3) / 1 = height
(3x + 3) = height
In a random sample of 150 customers of a high-speed internet provider, 63 said that their service had been interrupted one or more times in the past month. Find a 95% confidence interval for the proportion of customers whose service was interrupted one or more times in the past month.
Answer:
The correct answer is "0.3410, 0.4990".
Step-by-step explanation:
Given values are:
[tex]n=150[/tex]
[tex]p=\frac{63}{150}[/tex]
[tex]=0.42[/tex]
At 95% confidence interval,
C = 95%
z = 1.96
As we know,
⇒ [tex]E=z\sqrt{\frac{p(1-p)}{n} }[/tex]
By substituting the values, we get
[tex]=1.96\sqrt{\frac{0.42\times 0.58}{150} }[/tex]
[tex]=1.96\sqrt{\frac{0.2436}{150} }[/tex]
[tex]=0.0790[/tex]
hence,
The confidence interval will be:
= [tex]p \pm E[/tex]
= [tex]0.42 \pm 0.079[/tex]
= [tex](0.3410,0.4990)[/tex]
can anyone please solve this question using linear function?
Answer:
Step-by-step explanation:
Let Terri spent the 'x' hours in the river,
Per hour rental charged by Timmy's Tubes = [tex]\frac{\text{Rental charged}}{\text{Hours spent}}[/tex]
= [tex]\frac{18.75}{2.5}[/tex]
= $7.5
Charges for 'x' hours = $7.5x
Therefore, function that defines the rental of Timmy's tube will be,
f(x) = 7.5x
Another company Fred's float charges a base fee $2 plus $6.25 per hours.
For 'x' hours Fred's float will charge = 6.25x + 2
And the function that defines the charges will be,
g(x) = 6.25x + 2
1). If x = 1.5 hours,
Rental charged by Timmy's tube,
f(1.5) = 7.5(1.5)
= $11.25
Rental charged by Fred's float,
g(1.5) = 6.25(1.5) + 2
= $11.375
2). If Terri has $12 to spend,
For f(x) = 12,
12 = 7.5x
x = 1.6 hours
For g(x) = 12
12 = 6.25x + 2
10 = 6.25x
x = 1.6 hours
Therefore, both the companies charge the same for 1.6 hors.
Terri can opt any company to spend $12.
Does crime pay? The FBI Standard Survey of Crimes showed that for about 80% of all property crimes (burglary, larceny, car theft, etc.), the criminals are never found and the case is never solved.† Suppose a neighborhood district in a large city suffers repeated property crimes, not always perpetuated by the same criminals. The police are investigating nine property crime cases in this district.
Answer:
The appropriate answer is "11 crimes".
Step-by-step explanation:
Let,
The number of crimes be "n".
Now,
⇒ [tex]P(solved \ at \ least \ one) = 1-P(solved \ none \ of \ n)[/tex]
or,
⇒ [tex]1-(0.8)^n>0.9[/tex]
⇒ [tex](0.8)^n<0.1[/tex]
By taking log both sides, we get
⇒ [tex]n>=\frac{log(0.1)}{log(0.8)}[/tex]
By putting the values, we get
⇒ [tex]n>=10.31[/tex]
[tex]n=11 \ crimes[/tex]
If mx*m7=m28 and (M5)y=m15 , what is the value of X+y
There are 17 books on a shelf. 8 of these books are new. the rest of them are used. (GIVING BRAINLEST TO BEST ANSWER) what is the ratio?
someone plz help me porfavor!!!!!
Answer:
c. y = ¼x - 2
Step-by-step explanation:
Find the slope (m) and y-intercept (b) then substitute the values into y = mx + b (slope-intercept form)
Slope = change in y/change in x
Using two points on the graph, (0, -2) and (4, -1):
Slope (m) = (-1 - (-2))/(4 - 0) = 1/4
m = ¼
y-intercept = the point where the line intercepts the y-axis = -2
b = -2
✔️To write the equation, substitute m = ¼ and b = -2 into y = mx + b:
y = ¼x - 2
What is the answer plz help!!!
9514 1404 393
Answer:
B. horizontal stretch by a factor of 3
Step-by-step explanation:
Replacing x by x/k in a function causes its graph to be stretched horizontally by a factor of k. (This makes sense because it means x needs to be k times as large to give the same argument to the function.)
Here, the value of k is 3, so the function graph is horizontally stretched by a factor of 3.