The farmer should place the two fence pieces at an angle of 90 degrees (perpendicular) against the barn wall to maximize the area of the resulting triangular enclosure.
How to maximize the areaWhen all the sides are the same length, or when the object is genuinely a square, the area will be at its greatest for a given perimeter.
But a square is still a rectangle! Therefore, to find the length of each side if you know the perimeter, divide it by four. To get the area, multiply the length by the breadth.
For the problem, a right triangle with legs of equal length will have the maximum area among all right triangles with equal perimeter.
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Jo has a 15 GB monthly cell phone plan. Jo has used 4 GB in the first 20 days of the month. At that rate, how many GB will Jo use after a month of 30 days?
Answer:
6 GB
Step-by-step explanation:
First find the rate per day. You can do that by dividing 4GB by 20 days.
4/20 = 1/5 = 0.2GB per day
Then, just multiply 30 days by the rate of 0.2GB/day.
30 x 0.2 = 6
what will be the smallest number which when added to the sum of the squares of 9 and 10 gives a perfect square?
Answer:
[tex](10 {}^{2}) + (9 {}^{2}) = 181[/tex]
[tex]181 + 15 = 196[/tex]
[tex] \sqrt{196} = 14[/tex]
Hope that helps
Answer:
15
Step-by-step explanation:
15 must be added to the sum of squares of 9 to 10 gives a perfect square.
A car travels at a average speed of 48 miles per hour how many miles does it travel in 4 hours and 30 mins
Answer:
Step-by-step explanation:
48 miles = 1 hour
?? = 4.5hr
=> cross multiplicationt
4.5/1 *48Miles
= 216Miles
Kai bought his younger sister, Loni, a sticker book and 12 stickers. Each week he gives his sister two new stickers. Let w represent the number of weeks that Loni collects stickers, and let s represent the total number of stickers she has collected. a. Determine the independent and dependent variables. The number of weeks, w, is the ? variable. The total number of stickers, s, is the ? variable.
Answer:
w = independent variables = dependent variable======================================================
Reason:
The number of weeks can be any number from the set {0,1,2,3,...} so we say that this value is independent. It does not depend on the number of stickers.
But the number of stickers does depend on the number of weeks. As w changes, so does the value of 's'.
The equation would be: s = 2w+12
Plug in w = 0 to find that s = 12. This is the starting amount of stickers.Plug in w = 1 to find s = 14. This is the number of stickers after 1 week.Plug in w = 2 to find s = 16. This is the number of stickers after 2 weeks.And so on. Each time 'w' goes up by 1, 's' goes up by 2.
3) Destiny has 800 gallons of water in her pool and is adding water at a rate of 25 gallons per minute. Jabez only has 20 gallons of water in his pool but water is being added at a rate of 45 gallons per minute. How long before both pools have the same amount of water? answer fast pls
Answer: After 39 minutes, both pools will have the same amount of water.
Step-by-step explanation:
Let's call the number of minutes elapsed t. Then the amount of water in Destiny's pool after t minutes is 800 + 25t gallons, and the amount of water in Jabez's pool after t minutes is 20 + 45t gallons.
We want to find the time t at which the two pools have the same amount of water, so we set their amounts equal:
800 + 25t = 20 + 45t
Subtracting 20 from both sides of the equation:
780 + 25t = 45t
Subtracting 25t from both sides of the equation:
780 = 20t
Dividing both sides of the equation by 20:
39 = t
So, after 39 minutes, both pools will have the same amount of water.
Question 9 of 12
In the straightedge and compass construction of the congruent angle below,
which of the following reasons can you use to prove that LABC = LFDE?
D
B
E
C
A. Draw a line through points A and Cand another line through points
Fand E. Then AABC AFDE by SSS, and ZABC LFDE by
CPCTC.
B. Draw a line through points A and Cand another line through points
F and E. Then AABC AFDE by SSA, and LABC = LFDE by
CPCTC.
C. Draw a line through points A and C and another line through points
Fand E. Then AABC AFDE by AAS, and LABC LFDE by
CPCTC.
D. Draw a line through points A and Cand another line through points
F and E. Then AABC AFDE by ASA, and LABC LFDE by
CPCTC.
The correct option that can be used to prove that ∠ABC = ∠FDE is option (A). It is done using rules of congruency.
What is meant by congruency?
In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
For the construction of the congruent angle, the compass measurement used is the same for both figures.
Now we draw a line through points A and C and another line through points F and E.
We can then say that
AB = FD
BC = DE
CA = EF
These are the sides of the triangles ΔABC and ΔFDE
As all sides are equal, we can say that
ΔABC ≅ ΔFDE by SSS congruency rule.
Now CPCTC rule says that "corresponding parts of congruent triangles are congruent". This means that the corresponding angles and sides of two or more triangles must also be identical in order for them to be considered congruent.
So ∠ABC ≅ ∠FDE by CPCTC as they are corresponding angles.
Therefore the correct congruency rules that can be used to prove that
∠ABC = ∠FDE is option (A).
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Find fo g, go f, and g o g.
f(x) = 2x, g(x) = x²
(a)
fog
2x4
(b) gof
16x4
(c) gog
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The required values of the given composite functions follow as:
(a) fog(x) = 4x², (b) gof(x) = 2x², and (c) gog(x) = x⁴.
What are composite functions?Composite functions are mathematical functions that are formed by taking the output of one function and using it as the input for another function.
(a) To find fog(x), we need to evaluate g(f(x)).
Since function f(x) = 2x, we have:
g(f(x)) = g(2x) = (2x)² = 4x²
Therefore, fog(x) = 4x².
(b) To find gof(x), we need to evaluate f(g(x)).
Since g(x) = x², we have:
f(g(x)) = f(x²) = 2(x²) = 2x²
Therefore, gof(x) = 2x².
(c) To find gog(x), we need to evaluate g(g(x)).
Since function g(x) = x², we have:
g(g(x)) = g(x²) = (x²)² = x⁴
Therefore, gog(x) = x⁴.
Thus, the required values of the given composite functions follow as:
(a) fog(x) = 4x², (b) gof(x) = 2x², and (c) gog(x) = x⁴.
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A:
1. ∠ABC≅∠AED (Given)
2. Isosc. △ABE, base BE (Given)
3. AB ≅ AE (Def. of Isosc. △)
4. BE ≅ BE (Reflex. Prop. of ≅)
5. △BDE≅△BCE (SAS Steps 3, 1, 4)
6. BC ≅ ED (CPCTC)
B:
1.∠ABC≅∠AED (Given)
2. Isosc. △ABE, base BE (Given)
3. AB ≅ BE (Def. of Isosc. △)
4. BE ≅ AC (Sym. Prop. of ≅)
5. △BDE≅△BCE (SAS Steps 3, 1, 4)
6. BC ≅ DE (CPCTC)
C:
1.∠ABC≅∠AED (Given)
2. Isosc. △ABE, base BE (Given)
3. AB ≅ BE (Def. of Isosc. △)
4. ∠B≅∠E (Sym. Prop. of ≅)
5. △ABC≅△AED (ASA Steps 1, 3, 4)
6. BC ≅ DE (CPCTC)
D:
1.∠ABC≅∠AED (Given)
2. Isosc. △ABE, base BE (Given)
3. AB ≅ AE (Def. of Isosc. △)
4. ∠A≅∠A (Reflex. Prop. of ≅)
5. △ABC≅△AED (ASA Steps 1, 3, 4)
6. BC ≅ ED (CPCTC)
In isosceles triangle ΔABE, the correct option is option D. which proves that BC ≅ ED.
What is the isosceles triangle?
An isosceles triangle is a triangle having any two sides equal in length. The third side is called the base of the isosceles triangle. In an isosceles triangle, the angles opposite to equal sides are equal in measure.
1.∠ABC ≅ ∠AED (Given)
2. Isosc. △ABE, base BE (Given)
3. AB ≅ BE (Def. of Isosc. △)
4. ∠A ≅ ∠A (Reflex. Prop. of ≅)
5. △ABC ≅ △AED (ASA Steps 1, 3, 4)
6. BC ≅ ED (CPCTC)
option 1 is wrong in that the step 3. AB is not congurent with BE,
option 3 is wrong in that step 5. △ABC≅△AED should be prove by BD ≅ CE, ∠A BE ≅ ∠AEB, BE ≅ BE
hence, in isosceles triangle ΔABE, the correct option is option D. which proves that BC ≅ ED.
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The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 390 minutes, the monthly cost will be $178. If the customer uses 940 minutes, the monthly cost will be $398.
find an equation in the form y=mx+b, where x is the number of monthly minutes and y is the total monthly of the splint plan.
B) Use your equation to find the total monthly cost if 866 minutes are used.
Answer: If 866 minutes are used, the total cost will be dollars.
Therefore , the solution of the given problem of equation comes out to be total cost for 866 minutes is $1487.
What is an equation?The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.
Here,
Given :
customer uses 390 minutes , the monthly cost will be $178.
customer uses 940 minutes, the monthly cost will be $398.
To find an equation ,
where x is number of monthly minutes
and y is total monthly of splint plan.
So , equation is :
=> y =mx +b
For first case :
=> 178 = 390x + b
Second case :
=> 398 = 940x + b
Solve for x:
=> 178 - 390x = 398 - 940x
=> -200x = - 550
=> x = 550/200
=>x = 55/20
=>x = 11/4
=> x = 2.75
For value of b
=> 178 = 390(2.75) + b
=> 178 - 1072.5 = b
=> -894.5 = b
B)
=> y = 866(2.75) - 894.5
=> y = 2381.5 - 894.5
=> y = 1487
Therefore , the solution of the given problem of equation comes out to be total cost for 866 minutes is $1487.
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the mitchell family took a roadtrip from detroit to toronto. their route was 750 kilometers long and required 54 liters of gas. what was the family's fuel efficiency in miles per gallon?
Family's fuel efficiency is 32.67 miles per gallon.
What is unit conversion?
Unit conversion is the conversion between different units and measurements of the same quantity done by the division or multiplication.
Mitchell family's fuel efficiency in km/l =[tex]\frac{750}{54}[/tex]
=13.89 km/l
The fuel efficiency in miles per gallon = 13.89*2.35
= 32.67 m/g
(1 kilometer per liter = 2.35 miles per gallon)
Hence, mitchell family's fuel efficiency is 32.67 miles per gallon.
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Find the derivative of the following function. S = t^23 ln|t| Which rule of differentiation will be most helpful in beginning this problem? A. The chain rule B. The product rule C. The sum or difference rule D. The constant rule E. The power rule The expression in |t| appears as a subexpression of the given function. What is the derivative of this expression? d/dt (ln|t|) = t/|t|^2 Find the derivative of the given function ds/dt =
The derivative of the given function is 23t^22 ln |t| + t^22
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
The product rule will be most helpful in beginning this problem.
S = t^23 ln|t|
Differentiate with respect to t
D(s) = ds/dt = D( t^23 ln|t| )
Apply the rule :
D(uv) = u'v+uv'
u' =du/dt , v'=dv/dt
D(s) = 23t^22 ln |t| + t^23 (1/t)
D(s) = 23t^22 ln |t| + t^22
The derivative of the given function is 23t^22 ln |t| + t^22
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The derivative of the given function is 23t²² ln |t| + t²².
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
The product rule will be most helpful in beginning this problem.
S = t²³ ln |t|
Differentiate with respect to t
D(s) = ds/dt = D( t²³ln|t| )
Apply the rule :
D(uv) = u'v+uv'
u' =du/dt , v'=dv/dt
D(s) = 23t²² ln |t| + t²³ (1/t)
D(s) = 23t²² ln |t| + t²²
The derivative of the given function is 23t²² ln |t| + t²²
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$540 is invested in an account earning 9.1% interest (APR), compounded
continuously. Write a function showing the value of the account after t years, where
the annual growth rate can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the percentage of
growth per year (APY), to the nearest hundredth of a percent.
Answer: The formula for continuously compounded interest is given by:
A = P * e^(rt)
Where:
A = the final account balance
P = the initial investment (principal)
r = the annual growth rate as a decimal
t = the number of years the investment is held
In this case, P = 540, r = 0.091 and t = t years.
So, the function showing the value of the account after t years is:
A = 540 * e^(0.091t)
To find the percentage of growth per year (APY), we can use the formula:
APY = (e^r - 1) * 100
Substituting r = 0.091, we find:
APY = (e^0.091 - 1) * 100 = 9.56%
So, the APY is approximately 9.56%, to the nearest hundredth of a percent.
Step-by-step explanation:
find the number of sides of a regular prism which has 10 faces and 12 vertices
I NEED THE ANSWER THE QUESTION QUICK
Answer:
A regular prism with 10 faces and 12 vertices has 6 sides. This is because the number of faces and vertices are related by the equation F+2 = E+2V, where F is the number of faces, E is the number of edges, and V is the number of vertices. In this case, 10+2 = 12+2V, so V = 6 and the number of sides of the prism is also 6
Step-by-step explanation:
1. A regular prism has 10 faces and 12 vertices.
2. The number of faces and vertices is related by the equation F+2 = E+2V.
3. Where F is the number of faces, E is the number of edges, and V is the number of vertices.
4. In this case, 10+2 = 12+2V, so V = 6.
5. Therefore, the number of sides of the prism is also 6.
Can someone help? CROWN TO BEST ANSWER
Can you write me a quantitative survey or simulation question(s)? Making it a little bit complex and not too simple?
This is relating to probability and statistics and I have to answer and collect data on them.
If you write a very good one you get a crown!! but it must be well written and a good question not just how much cars are there each morning?
Here are some examples of quantitative survey or simulation questions:
On a scale of 1 to 5, how likely are you to recommend our product to a friend or colleague?
1 (Not at all likely)
2
3
4
5 (Extremely likely)
How often do you use our app?
Daily
3-4 times a week
Once a week
Once every two weeks
Rarely
How much time do you spend using our app in an average day?
Less than 30 minutes
30 minutes to 1 hour
1 to 2 hours
More than 2 hours
How satisfied are you with the overall performance of our app?
Very dissatisfied
Dissatisfied
Neutral
Satisfied
Very satisfied
How do you rate the usability of our app?
Poor
Fair
Good
Very good
Excellent
What is a survey?A quantitative survey uses statistics to gather facts and figures. It's most frequently utilized to support or refute a conclusion you may have reached after conducting qualitative research.
A survey may be qualitative, quantitative, or a combination of the two. A quantitative survey is one that uses a questionnaire with scaleable responses. If your survey has descriptive questions with in-depth answers then it is a qualitative survey. Your survey is a mixed-method survey if it uses both of them.
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(a) The perimeter of a rectangular field is 350 m.
If the width of the field is 79 m, what is its length?
Answer: 96 m.
Step-by-step explanation: Let's call the length of the rectangular field "L".
We know the perimeter of the field is equal to the sum of all its sides, so:
350 = 2L + 2 * 79
Expanding the right side, we have:
350 = 2L + 158
Subtracting 158 from both sides:
192 = 2L
Dividing both sides by 2:
L = 96 m
So the length of the rectangular field is 96 m.
Use the following predicates when describing an object: Green, Blue, Red, Rectangle, Oval, Diamond, Border For example: Green(H) = True because object H is green Border(H) = False because object H has no border Problem 6 [21 points] For each statement below, write the contrapositive, the converse and the inverse using english (no logical operators needed). Tell which of the four statements (the three you wrote, in addition to the original statement) is true or false. If a statement is false, provide a counter-example. (example) Original Conditional Statement (P - Q): If an object is green, then it is a rectangle. False. Object H is green but it is also not a rectangle. Contrapositive (not Q - not P): If an object is not a rectangle then it is not green. False. Object H is not a rectangle but it is also green. Converse (Q - P) If an object is a rectangle then it is green. False. Object P is a rectangle but it is also not green. Inverse (not p → not q) If an object is not green then it is not a rectangle. False. Object P is not green but it is also a rectangle. (a) If an object is red, then it has a border. (b) If an object is a rectangle, then it is red and has a border. (c) If an object is red or blue then it has a border.
(a)Contrapositive: If an object does not have a border, then it is not red.
Converse: If an object has a border, then it is red.
Inverse: If an object is not red, then it does not have a border.
(b)Contrapositive: If an object is not red or does not have a border, then it is not a rectangle.
Converse: If an object is a rectangle, then it is red and has a border.
Inverse: If an object is not red or does not have a border, then it is not a rectangle.
(c)Contrapositive: If an object does not have a border, then it is not red or blue.
Converse: If an object is red or blue, then it has a border.
Inverse: If an object does not have a border, then it is not red or blue.
a) Original Conditional Statement (P - Q): If an object is red, then it has a border.
Contrapositive (not Q - not P): If an object does not have a border, then it is not red.
Converse (Q - P) If an object has a border then it is red.
Inverse (not p → not q) If an object is not red then it does not have a border.
The contrapositive is true, while the converse and inverse are false. For example, object H may have a border but not be red.
b) Original Conditional Statement (P - Q): If an object is a rectangle, then it is red and has a border.
Contrapositive (not Q - not P): If an object is not red and does not have a border, then it is not a rectangle.
Converse (Q - P) If an object is red and has a border, then it is a rectangle.
Inverse (not p → not q) If an object is not a rectangle then it is not red or does not have a border.
The contrapositive is true, while the converse and inverse are false. For example, object H may be red and have a border but not be a rectangle.
c) Original Conditional Statement (P - Q): If an object is red or blue, then it has a border.
Contrapositive (not Q - not P): If an object does not have a border, then it is not red or blue.
Converse (Q - P) If an object has a border then it is red or blue.
Inverse (not p → not q) If an object is not red or blue then it does not have a border.
The contrapositive and converse are true, while the inverse is false. For example, object H may have a border but not be red or blue.
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Describe as precisely thoroughly as possible why critical values of a function f(x) occur either where f′(x) = 0 or where f′(x) is undefined.
Well, most books define critical values of a function as x-values where f'(x)=0 or f'(x) is undefined, so they occur there because that's the definition of what a critical value is.
But the reason we define it that way is that when you're looking for local extrema (local mins and/or local maxs), these must occur when f'(x)=0 or f'(x) is undefined.
If f has a local extremum at a point x=c, then f'(c)=0 or f'(c) is undefined.
A truck with 0.300 m radius tires travels at 28.0 m/s.
a) What is the angular velocity of the rotating tires in radians per second?
b) What is this in revolutions per minute?
Answer:
Angular velocity = 93.33 radians/second
Revolutions per minute = 1,782.51 revolutions per minute
Step-by-step explanation:
The relation between angular velocity, ω and linear velocity, v is given by the equation
[tex]\omega = \dfrac{v}{r}[/tex]
where ω is in radians per second
v = m/s
and r is the radius (m) of the circular motion, in this case, the radius of the tire
Given v = 28 m/s and r = 0.300 m
we get
[tex]\omega = \dfrac{28 \;m/s}{0.3\;m} = 93.33 \;radians/second[/tex]
Since 2π radians make a full revolution, 93.33 radians/sec = 93.33 ÷ 2π = 29.708 revolutions per second
To get the revolutions per minute, multiply this by 60 since there are 60 seconds to a minute:
29.708 x 60 = 1,782.51 revolutions per minute
Based on the information marked in the diagram, AFGH and AJKL must be
congruent.
G
FL
H
K
3
#
L
It is true that both triangles meet the prerequisites listed before. FGH and JKL are then consistent.
what is triangle ?Expected to give that it has three sections and three vertices, a triangle qualifies as a rectangle. It belongs to the core geometric shapes. Triangle ABC is the term utilized to refer to a triangle only with vertices A, B, and C. When the three principles are not collinear, a unique rectangle and square in Geometry and trigonometry are discovered. Triangles are polygons because they have sides and three corners. The points at which three sides of the triangle coincide are referred to as the triangle's edges. Three triangle angles are multiplied to generate 180 degrees.
given
FGH and JKL in the specified right angle
GF ≅ KJ ( one side of both right angle triangles) ( one side of both right angle triangles)
∠F≅ ∠J (right angle) (right angle)
FH ≅ JL (opposite side of both right angle triangles ) (other side of both right angle triangles )
Then ,
We can conclude that GH KL (hypotenuse of both right angle triangles)
In two right triangles, if the hypotenuse and one side of one triangle are identical to the hypotenuse and one side of the other triangle, then the two triangles are congruent according to the RHS congruence rule.
It is true that both triangles meet the prerequisites listed before. FGH and JKL are then consistent.
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Using the table, what is the average daily balance of the credit card for the January 1 - January 31 billing period? Round your answer to the nearest cent. Do not include a dollar sign or comma in your answer. For example, $5,678.00 should be entered as 5678.00. Day 1112131 Activity − Purchase Purchase Purchase Adjustment −+200+250+400 Closing Balance 800100012501650
The average daily balance of the credit card for the January 1 - January 31 billing period is $1283.87.
What is the average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
The average daily balance can be determined by dividing the total daily balances for January by the number of days in January.
The average daily balance = Total balance / Total number of days in January.
Total balance = (800 x 1 days) + (1000 x10 days) + (1250 x 10 days) + (1650 x 10 days)
Total balance = 800 + 10,000 + 12,500 + 16,500 = 39800
The average daily balance = 39800/31 = $1283.87
Therefore, the average daily balance of the credit card for the January 1 - January 31 billing period is $1283.87.
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PLEASE HELP DUE IN FEW MINUTES ASAP THANK YOU
Answer:
[tex]\frac{(s + 15.4)(8.1)}{2}[/tex] = 81
8.1s + 124.74 = 162
8.1s = 37.26
s = 4.6
1 1/2 times x = 2 3/4
The subtotal for Abdiel's takeout order is $21.50. What will Abdiel's total be if he uses a coupon for 10% off the subtotal and leaves a 20% tip before the discount? (2 points)
$22.15
$27.95
$23.22
$23.65
Answer: To calculate the total, we need to first calculate the discount and then the tip.
First, calculate the discount: $21.50 x 10% = $2.15
Then, subtract the discount from the subtotal: $21.50 - $2.15 = $19.35
Next, calculate the tip: $19.35 x 20% = $3.87
Finally, add the tip to the subtotal after the discount to find the total: $19.35 + $3.87 = $23.22
Therefore, Abdiel's total would be $23.22 if he uses a coupon for 10% off the subtotal and leaves a 20% tip before the discount.
Step-by-step explanation:
In the state of Indiana, 322000 people lacked basic math skills. If this is 5.6% of the population of Indiana residents aged 5 years and older, estimate the population of Indiana residents aged 5 years and older.
Express your answer rounded to the nearest hundredth of a million.
The number of people in Indiana residents is given by the equation
A = 5,750,000 or 5.75 million
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of people in Indiana residents aged 5 years and older be A
Now , the equation will be
Substituting the values in the equation , we get
The percentage of population residents aged 5 years and older = 5.6 %
The number of residents aged 5 years and older = 322,000
So , the total population A is calculated as
( 5.6 % ) of A = 322,000
On simplifying the equation , we get
( 5.6 / 100 ) A = 322,000
Divide by 6.6 on both sides of the equation , we get
A / 100 = 57,500
Multiply by 100 on both sides of the equation , we get
A = 5,750,000
A = 5.75 million
Hence , the population of Indiana is A = 5,750,000 or 5.75 million
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Shen rented a truck for one day. There was a base fee $18.95 and there was an additional charge of 83 cents for each mile driven. Shen had to pay $213.17 when he returned the truck. For how many miles did he drive the truck
Answer:
234 miles
Step-by-step explanation:
Lets set the variable 'n' as the number of miles driven. We can set up the following equation:
18.95 + 0.83n = 213.17
Now, all we have to do is solve it. We can get 0.83n = 194.22, so n = 194.22/0.83 = 234 miles
Please solve this for me, no other information was given with this question
The percentages of the weights are given as follows:
a) Over 15.5 pounds: 2.07%.
b) Under 11.9 pounds: 75.8%.
c) Between 11.9 pounds and 15.9 pounds: 22.13%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The parameters for this problem are given as follows:
[tex]\mu = 10, \sigma = 2.7[/tex]
The proportion over 15.5 pounds is one subtracted by the p-value of Z when X = 15.5, hence:
Z = (15.5 - 10)/2.7
Z = 2.04
Z = 2.04 has a p-value of 0.9793.
1 - 0.9793 = 0.0207.
The proportion under 11.9 pounds is the p-value of Z when X = 11.9, hence:
Z = (11.9 - 10)/2.7
Z = 0.7
Z = 0.7 has a p-value of 0.7580.
The proportion between is the subtraction of the p-values, hence:
0.9793 - 0.7580 = 0.2213 = 22.13%.
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solve for pie
please please i neeed help
Answer:
h=V/πr2
Step-by-step explanation:
Rewrite the equation as π r 2 h = V . π r 2 h = V
Divide each term in π r 2 h = V by π r 2 and simplify.
the pair of linear equations is graphed below
10. Solve for x.
(7x + 3)º
(2x + 6)°
Answer:
The answers are x=-37 and x=3
Step-by-step explanation:
The solution set for the equation (7x+3)(2x-6)=0 is {−37,3}. To solve for x, one can use the distributive property to expand the equation and then solve for x. For example, 7x² - 3x - 12x - 18 = 0 can be rearranged to 7x² - 15x - 18 = 0 and then solved using the quadratic formula.
approximatly 31,500 citizens of a country died in automobile accidents in 2015, express this toll in deaths per day. round to the nearest whole number. There are approximatly how many deaths due to automobile accidents
Using simple division we know that 86 people or citizens dies each day in 2015.
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.
The other operations are multiplication, addition, and subtraction.
Division in mathematics is the process of dividing an amount into equal parts.
For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.
So, we know that:
31,500 people died in 2015.
We also know that 2015 had 365 days.
Then, people died easily day would be:
= 31,500/365
= 86.30
Rounding off: 86 people
Therefore, using simple division we know that 86 people or citizens dies each day in 2015.
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