Answer:
238
Step-by-step explanation:
You have to find the area for each box and then you add all of them together
Answer:
238 mm²
Surface area of rectangular prsim = 2(lw + lh + wh)
Here,
length = 11 mm
width = 4 mm
height = 5 mm
area:
2*(4*11+5*11+5*4)238 mm²Write an equation of the line in slope-intercept form.
y =
Answer:
y=1/4x+3
Step-by-step explanation:
You can find the slope by starting at the point (4,2), then using "rise over run" you can count up(rise) 1, then side(run) 4. So the slope, or "m" would be 1/4x. The B value is the y Intercept, and the y Intercept is (0,3) so you would write it as 3 in the equation.
A large car dealership claims that 47% of its customers are looking to buy a sport utility vehicle (SUV). A random sample of 61 customers is surveyed. What is the probability that less than 40% of the sample are looking to buy an SUV?
Using the normal distribution and the central limit theorem, it is found that the probability is of 0.1368 = 13.68%.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem:
47% of its customers are looking to buy a sport utility vehicle (SUV), hence p = 0.47.A sample of 61 customers is taken, hence n = 61.The mean and the standard error are given by:
[tex]\mu = p = 0.47[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.47(0.53)}{61}} = 0.0639[/tex]
The probability that less than 40% of the sample are looking to buy an SUV is the p-value of Z when X = 0.4, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.4 - 0.47}{0.0639}[/tex]
Z = -1.095
Z = -1.095 has a p-value of 0.1368.
0.1368 = 13.68% probability that less than 40% of the sample are looking to buy an SUV.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
Does this graph show a function? Explain how you know.
• A. No; there are y-values that have more than one x-value.
B. No; the graph fails the vertical line test.
• c. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.
A graph that shows a function must pass the vertical line test
The true statement is (b) No; the graph fails the vertical line test.
How to determine if the graph shows a function?
For a graph to show a function, the graph must pass the vertical line test
The given graph do not pass the vertical line test;
This is so because, a line drawn from the x-axis would touch the graph at at least two different points
Hence, the true statement is (b) No; the graph fails the vertical line test.
Read more about the vertical line tests at:
https://brainly.com/question/1821791
i need help with this i will mark BRAINLIEST and give alot of points
Answer:
Below
Step-by-step explanation:
Diameter = 2r (r is radius) so the diameter is 40 inches
Circumference= 2pi r= 40pi or 125.663
Area= pi r^2= pi(20)^2= 400 pi pr 1256.637
Answer:
Diameter: 40 inches
Circumference: 40π, or ~125.66 inches
Area: 400π, or ~1256.64 inches
Step-by-step explanation:
Diameter is twice the radius, so 20×2 = 40 inches.
Circumference formula is C = 2πr, so plugging everything in, C = 2π×20,
and simplify, C = 40π, or C ≈ 125.66 inches.
Area formula is A = πr², so plugging everything in, A = π20², and then simplify, A = 40π, or A ≈ 1256.64 inches.
There is an animal farm where chickens and cows live. All together, there are 92 heads and 256 legs. How
many chickens and cows are there on the farm?
show your work!
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]
8. An angle that contains 126° 32' is a/an Angle
angle.
A. straight
B. obtuse
C. right
D. acute
Answer:
B Angle obtuse Since 126o 32 ' is bigger 90o but smaller than 180o.
Step-by-step explanation:
Acute: An angle that measures < 90o.
Right: An angle that measures 90o.
Obtuse : An angle that is > 90o but < 180o.
Straight: An angle that measures 180o.
Determine the total length of the major and minor axes for the ellipse 25x^2+y^2=25
Will give brainliest
Answer:
Step by step Solution :-
25X^2 + Y^2 = 25
A) Finding X value :-
1. Subtract Y^2 from both sides:
25X^2 = 25 - Y^2
2. Divide both sides by 25 :
( 25X^2 ) ÷ 25 = ( 25 - Y^2 ) ÷ 25
3. Dividing by 25 undo the multiplication by 25 :
X^2 = ( 25 - Y^2 ) ÷ 2
4. Divide ( 25 - Y^2 ) by 25 :
X^2 = ( - Y^2 ÷ 25 ) + 1
5. Take Square Root for both sides of equation ( before & after (=) ) :
X = √ ( 25 - Y^2 ) ÷ 5
X = - √ ( 25 - Y^2 ) ÷ 5
------------
Now that we knew what X value is, we'll figure out Y value too!
B) Finding Y value ( Finding Square Root ):-
Y^2 = 5√ ( 1 - X^2 )
1. Finding Square Root :
25X^2 + Y^2 = 25
2. Subtract 25X^2 value from both sides :
Y^2 = 25 - 25X^2
3. Take square root for both sides of equation :
Y = 5√ ( 1 - X^2 )
Y = - 5√ ( 1 - X^2 )
Eugene works a total of 45 hours per week at two jobs. If his total pay is $ 386.25 (before taxes), and Eugene worked 15 hours at Mudzoff Car Wash and 30 hours at Stuck-in-the-Mud offroad trails, and his hourly rate at Stuck-in-the-Mud is $ 0.25 less than his hourly rate at Mudzoff, find Eugene's pay per hour at each job.
the approximate z-score that corresponds to a right tail area of 0.29 is?
Answer:
0.55
Step-by-step explanation:
In this question we need to find the Z score says that the area under the standard normal curve to the right is 0.29. So here in this question I have drawn here the normal distribution curve. So at this point we need to calculate the z value And with the probability of 29%. So to find the value of Z says that probability of zero great Small, that is equal to 0.29. So I can write this left hand side as one minus probability of less than small. It's called a 0.29 probability of zero, less than or equal to zero will do 0.29 one minus .29 which is equal to 0.71. So here we know the value of probability And we need to find the value of zero and there are various methods to calculate that one is the using the normal distribution tables and then there is the um MS Excel should. So from the table you can find the area closest to 0.71. So here the flow chart for finding me value. Using normal distribution table is given. So the first thing is from this table of the standard normal distribution, look at the probability value. So as you can see from this this is the snapshot of the table we need to find the probability value. So We have got the value of 0.71. So this is the nearest value to that you need to, next second is move left until the first column is reached. So move left until the first column is rich. This is the first column. Move upward until the top row is rich. Note that value. So here as you can see it is 0.5 and here it is 0.05. The intersection of the Roman columns gives the area of the two day loves. So which is 0.5 Plus 0.05 is equal to zero 55. This is the value of Z. Or as you can use the um xxl shoot to calculate the value of Z. Here, I have given the flow chart for that. Also you can use this to calculate the value of Z. So probability of mhm Less than or equal to 0.55 Is equal to 0.71. This is the answer. 0.55 is the answer for the solution.
WILL GIVE BRAINLIEST
Find the exact value of the indicated trigonometric functions using the given information.
Given: tan a=2.4, and π/2Find the exact value of the indicated trigonometric functions using the given information.
Given: tan a=2.4, and π/2find sin a and cot a
Answer:
Viewed as a right angled triangle
tan
(
x
)
=
5
12
can be thought of as the ratio of opposite to adjacent sides in a triangle with sides
5
,
12
and
13
(where
13
is derived from the Pythagorean Theorem)
So
sin
(
x
)
=
5
13
and
cos
(
x
)
=
12
13
Step-by-step explanation:
In a triangle ABC, a = 13. b = 11 and c = 15. Solve the triangle.
Answer:
169 + 121 = 225
Step-by-step explanation:
It is not a right triangle
A squared + b square should equal c squared.
169 + 121 = 290
please help! math
(3/7) (-2/5 x 9/11)
Answer:
-54/385
Step-by-step explanation:
You spin the spinner once.
2,3,4,5,6,7
What is P(6)?
Write your answer as a fraction or whole number.
Helps pls i did 120 questions
Answer:
1/6
Step-by-step explanation:
it is like a cube just with slightly different numbers on each side. but the probabilty structure is still the same.
we have 6 different possible outcomes, all with the same basic probabilty (as every field on the spinner is seemingly of the same size as the others).
and we desire one of these possible outcomes (6).
so the probabilty to get 6 is still 1/6 (1 desired over 6 possible outcomes).
Is 10 times as much as 0.007
Answer:
10 x 0.007 = 0.07
Step-by-step explanation:
im not sure if thats what you meant
PLEASE HELP!
To raise money for malaria research the New York City Rotary Club is going to sell 200,000
raffle tickets. One ticket will have a 8000 dollar prize attached to it. Ten tickets will have a
300 dollar prize attached to it. Seventy-five tickets will have a 50 dollar prize. (As a wam up,
answer for yourselves: what is the total amount of all the prize money?) In addition to the
prize money, to make sure that the tickets are secure, by hiring a company which specializes in
producing anti-counterfeit raffle tickets, the cost of raffle tickets is given by C(20) = 4500+6x.
To cover both the prize money and the cost of producing the raffle tickets, as a warm-up,
what should be the price of each of the 200,000 raffle tickets in order to break even?
Step-by-step explanation:
so, they want to sell 200,000 tickets (and we assume they can really sell all of these).
they have to pay the prize money afterwards :
1 × $8,000 = $8,000
10 × $300 = $3,000
75 × $50 = $3,750
--------------
$14,750
and they have to pay for the ticket production at the beginning.
this is not really well defined, but I assume the following :
C(20) = 4500 + 6x
x = units of 10,000 tickets (because of the functional argument of 20, and we have to deal with 200,000 tickets).
that means the cost for these 200,000 tickets is then
4500 + 6×20 = $4,620
$4,500 are fixed costs insurgent of the number of tickets (like for creating the design, configuring the printing machines for the design, ...).
and 6×20 = $120 are the cost of actuality printing the tickets ($6 per 10,000 ticket prints).
so, the total expenses are
$14,750 + $4,620 = $19,370
under the assumption they can sell all 200,000 tickets to just break even, the prize for each ticket must be
19,370 / 200,000 = $ 0.09685 ≈ $0.10
if my assumptions are wrong, please adapt the numbers in the calculations i showed you here.
for example, what if the x in the printing cost is per ticket and not per 10,000 tickets ?
then the printing costs would be
4500 + 6×200000 = $1,204,500
and the total expenses would be
$14,750 + $1,204,500 = $1,219,250
and the prize per ticket would have to be
1,219,250 / 200,000 = $ 6.09625 ≈ $6.10
The total amount of all the prize money is $14,750, and the price of each of the 200,000 raffle tickets in order to break even should be $0.08.
Amount calculationGiven that to raise money for malaria research the New York City Rotary Club is going to sell 200,000 raffle tickets, and one ticket will have an 8000 dollar prize attached to it, while ten tickets will have a 300 dollar prize attached to it, and seventy-five tickets will have a 50 dollar prize, to determine what is the total amount of all the prize money and what should be the price of each of the 200,000 raffle tickets in order to break even, the following calculation must be made:
1 x 8000 + 10 x 300 + 75 x 50 = X8000 + 3000 + 3750 = X14750 = X14750 / 200000 = Z0.07375 = ZTherefore, the total amount of all the prize money is $14,750, and the price of each of the 200,000 raffle tickets in order to break even should be $0.08.
Learn more about amount calculation in https://brainly.com/question/14695611
Tell if the slope is positive, negative, zero, or no slope.
Answer:
No slope.
Step-by-step explanation:
There is no such thing as a vertical slope, meaning that there is no slope. I hope this helps! :)
Answer:
No slope
Step-by-step explanation:
The line is going straight up :)
Brainliest pls?
Raphael buys one raffle ticket.
a total of 250 raffle tickets are sold.
One of these tickets will win the raffle.
Each ticket has an equal chance of winning the raffle.
(a) Write down the probability that Raphael's ticket will win the raffle
(b) Write down the probability that Raphael's ticket will not win the raffle
Answer:
There is a 1/250 chance that his ticket will be chosen
There is a 249/250 chance that his ticket will not be chosen
Step-by-step explanation:
Hope that helps!
How many pounds are in 3 tons?
600 pounds
900 pounds
6,000 pounds
9,000 pounds
Answer:
6,000
Step-by-step explanation:
1 ton is 2,000 pounds, so 3 tons are 6,000 pounds because 2,000 x 3 = 6,000.
Have a great day!
please help me.. no links pls
Answer:27
Step-by-step explanation:
Its pretty simple. Perimeter is the addition of all the sides. Add 4+9+8+6 to get 27.
Help again please 33 points
Answer:
the answer is 56in2
Step-by-step explanation:
[tex]b = 14in \\ h = 8in \\ area \: of \: triangle = \frac{1}{2} b \times h \\ = \frac{1}{2} \times 14 \times 8 \\ = 56inches[/tex]
Solve completely (all missing angles and all missing sides) using ratios or laws round to the nearest tenth.
Answer:
Angle u is 52
Step-by-step explanation:
I only know this
52 because internal angle of triangle is 180 subtract 90 and 38 from 180 and you will get 52
CAN SOMEBODY HELP ME SOLVE THE EQUATION
Answer:
72.6
Step-by-step explanation:
y = 3.23x + 33.86
y = 3.23 (12) + 33.86
y = 38.76 + 33.86
y = 72.62
Hope this helps!
At lunch a waiter had seven customers and two of them didn’t leave a tip.If he got seven each from the ones who did tip how much money did he earn?
Answer:
$35
Step-by-step explanation:
7 customers - 2 who didn't tip = 5 who did tip
$7 from those who did tip * 5 ppl who tipped = $35 earned
If a certain recipe takes 1 1/2 cups of flour and 2 cups of milk, how much milk should be added if the cook only has 1 cup of flour?
Answer:
1 1/3 cups of milk
Step-by-step explanation:
In our recipe
For every 1 1/2 cups of flour we need 2 cups of milk
then the flour and milk are two proportional quantities
1 1/2 ————-> 2
We know that 1 1/2 = 1/2 + 1/2 + 1/2 then
1/2 + 1/2 + 1/2 ————-> 2
Then (we divide both sides by 3)
1/2 ————-> 2/3
Then (we multiply both sides by 2)
1 ————-> 4/3
finally , 4/3 = 1 1/3
PLEASE HELP ME please
Answer: 4n-7
Step-by-step explanation:
show complete solution
Step-by-step explanation:
You can find the complete solution
You should use cross multiplication to solve
I hope it helped you
HELP RN PLEASE I NEED THE ANSWER RIGHT NOW IM BEING TIMED
Answer:
1. 3.33
2. 8.75
3. 4.8
4. 2.5
Step-by-step explanation:
divide the numbers.
please help me on this thanks
[tex]\cos \angle H =\dfrac{\text{Base}}{\text{Hypotenuse}}= \dfrac{IH}{GH}=\dfrac{28}{53}[/tex]
Solve the equation.
x^2 − 6 + 34 = 0
Answer:
[tex]x=6-\sqrt{ -100}/2=3-5i=3.0000-5.0000i\\x=6+\sqrt{-100} )/2=3+5i=3.0000+5.0000i[/tex]
Step-by-step explanation:
Step 1: Trying to factor by splitting the middle term
The first term is, x² its coefficient is 1 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is +34
Step-1 : Multiply the coefficient of the first term by the constant 1 • 34 = 34
Step-2 : Find two factors of 34 whose sum equals the coefficient of the middle term, which is -6 .
-34 + -1 = -35
-17 + -2 = -19
-2 + -17 = -19
-1 + -34 = -35
1 + 34 = 35
2 + 17 = 19
17 + 2 = 19
34 + 1 = 35
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 1:
x² - 6x + 34 = 0
Parabola, Finding the Vertex:
Find the Vertex of y = x^2-6x+34
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 3.0000
Plugging into the parabola formula 3.0000 for x we can calculate the y -coordinate :
y = 1.0 * 3.00 * 3.00 - 6.0 * 3.00 + 34.0
or y = 25.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-6x+34
Axis of Symmetry (dashed) {x}={ 3.00}
Vertex at {x,y} = { 3.00,25.00}
Function has no real roots
Solve Quadratic Equation by Completing The Square
Solving x2-6x+34 = 0 by Completing The Square .
Subtract 34 from both side of the equation :
x2-6x = -34
Now the clever bit: Take the coefficient of x , which is 6 , divide by two, giving 3 , and finally square it giving 9
Add 9 to both sides of the equation :
On the right hand side we have :
-34 + 9 or, (-34/1)+(9/1)
The common denominator of the two fractions is 1 Adding (-34/1)+(9/1) gives -25/1
So adding to both sides we finally get :
x2-6x+9 = -25
Adding 9 has completed the left hand side into a perfect square :
x2-6x+9 =
(x-3) • (x-3) =
(x-3)2
Things which are equal to the same thing are also equal to one another. Since
x2-6x+9 = -25 and
x2-6x+9 = (x-3)2
then, according to the law of transitivity,
(x-3)2 = -25
We'll refer to this Equation as Eq. #2.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-3)2 is
(x-3)2/2 =
(x-3)1 =
x-3
Now, applying the Square Root Principle to Eq. #2.2.1 we get:
x-3 = √ -25
Add 3 to both sides to obtain:
x = 3 + √ -25
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Since a square root has two values, one positive and the other negative
x2 - 6x + 34 = 0
has two solutions:
x = 3 + √ 25 • i
or
x = 3 - √ 25 • i
Solve Quadratic Equation using the Quadratic Formula
2.3 Solving x2-6x+34 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -6
C = 34
Accordingly, B2 - 4AC =
36 - 136 =
-100
Applying the quadratic formula :
x = 6 ± √ -100/2
In the set of real numbers, negative numbers do not have square roots. A new set of numbers, called complex, was invented so that negative numbers would have a square root. These numbers are written (a+b*i)
Both i and -i are the square roots of minus 1
Accordingly,√ -100 =
√ 100 • (-1) =
√ 100 • √ -1 =
± √ 100 • i
Can √ 100 be simplified ?
Yes! The prime factorization of 100 is
2•2•5•5
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 100 = √ 2•2•5•5 =2•5•√ 1 =
± 10 • √ 1 =
± 10
So now we are looking at:
x = ( 6 ± 10i ) / 2
Two imaginary solutions :
x =(6+√-100)/2=3+5i= 3.0000+5.0000i
or:
x =(6-√-100)/2=3-5i= 3.0000-5.0000i
Two solutions were found :
x =(6-√-100)/2=3-5i= 3.0000-5.0000i
x =(6+√-100)/2=3+5i= 3.0000+5.0000i
Which of the following may fall outside a triangle?
A. incenter and circumcenter
B. orthocenter and circumcenter
C. circumcenter and centroid
0 D. centroid and incenter
Answer: B
Step-by-step explanation: