320
Step-by-step explanation:
When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be between 33 and 35 minutes, to the nearest tenth?
Answer:
[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]
And we can find the probability of interest with this difference
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]
And if we use the normal standard table or excel we got:
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]
And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %
Step-by-step explanation:
Let X the random variable that represent the times to conmutes to work of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(41,3)[/tex]
Where [tex]\mu=41[/tex] and [tex]\sigma=3[/tex]
We are interested on this probability
[tex]P(33<X<35)[/tex]
And we can solve the problem using the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And using this formula we got:
[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]
And we can find the probability of interest with this difference
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]
And if we use the normal standard table or excel we got:
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]
And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %
See question above
A) 7.2 cm
B) 9 cm
C) 10.6 cm
D) 12 cm
Answer:
B) 9 cm
Step-by-step explanation:
Just look at the triangle and use Pythagoras theoreum.
a² + b² = c²
a = 9 9 - 4.9 = 5
b = ?
c = 10
5² + b² = 10²
b² = 100 - 25
b² = 75
b = + - SQRT( 75 )
{Only the positive term has a meaning here.}
b = 8.66 rounded that is 9, which is answer B.
What is the value of x in this equation 9 + 9 = 3(x - 6)?
Answer: [tex]x=12[/tex]
Step-by-step explanation:
[tex]9+9=3(x-6)[/tex]
simplify: add the 9's together and distribute the 3
[tex]18=3x-18[/tex]
add 18 to both sides
[tex]36=3x[/tex]
divide by 3
[tex]12=x[/tex]
[tex]x=12[/tex]
Determine the scale factor from the point A(2, 6) of DEF to D’E’F’ where D(-8, 6), E(-8, 14), F(2, 3) (- 3, 6) and D’ (-3, 6) E’(-3, 10) and F’(2, 4.5) What is the scale factor?
Answer:
The scale factor to transform DEF to D'E'F' is 1/2
Step-by-step explanation:
DEF is
D(-8, 6), E(-8, 14), F(2, 3)
D'(-3, 6), E'(-3, 10), F'(2, 4.5)
Therefore;
DE = √((-8-(-8))²+(6-14)²) = 8
D'E' = √((-3 -(-3))² + (6 - 10)²) = 4
Similarly,
EF = √((-8 - 2)² + (14 - 3)²) = √(100 + 121) = √221
E'F' = √((-3 - 2)² + (10 - 4.5)²) = √(100/4 + 121/4) = (√221) × 1/2
Also
DF = √(-8 - 2)² + (6 - 3)² = √(100 + 9 =√109
D'F' = √(-3 - 2)² + (6 - 4.5)² = √(5² + 3²) = √((10/2)² + (3/2)²) = √(100/4 + 9/4) = (√109)×1/2
Therefore the ratio of DEF to D'E'F' = DE/D'F' = EF/E'F' = DF/D'F' = √221/(√221) × 1/2 = 2
That is the scale factor of DEF to D'E'F' = 1/2.
What is the sum of the geometric series 2+6+18+...+486?
Answer:
728
Step-by-step explanation:
2+6+18+...+486
a=2
r=6/2=3
[tex]a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728[/tex]
What is the range of the function y= e^4x
Answer:
The answer would be {y|y>0}
Step-by-step explanation:
hope this helps
A tablet manufacturer tested 125 tablets and found that 2 had broken screens. how many broken screens should the manufacturer expect out of 45000 tablets?
Answer:
720
Step-by-step explanation:
125tablets, 2 of which had broken screens.
multiply 45000 by 2, then divide 125=720
Answer:
720
Step-by-step explanation:
125 tablets, 2 of which had broken screens.
Multiply the 45,000 by 2, then divide by 125.
So therefore, the answer is 720.
odún and aderonke have 6:4 in 80 units of transcorp's share. how many units of this shares belong to odún
Answer:48
Step-by-step explanation:
Answer:
48 pecies
Step-by-step explanation:
Odun's share=80x 6/10
Odun's share=48
Hope you understand
Gonna need this in like 5 hrs please help
Answer:
G. Oatmeal is the favorite type of cereal for 15% of the children
Step-by-step explanation:
Oatmeal is 15/50 of the students' favorites, so it would actually be 30% therefore it is not supported. Hope this was helpful! :)
What is the quotient?
(-3)^0 / (-3)^2 = ?
A: -9
B: -1/9
C: 1/9
D: 9
Answer:
Step-by-step explanation:
Quotient means result of division
anything raised to 0 is 1
(-3)^0 = 1
(-3)^2 = -3 * -3 = 9
Quotient = 1/9
Answer:
1/9
Step-by-step explanation:
If 2.6( d +1.4 )- 2.3d= 4,what is d?
Answer:
1.2 units
Step-by-step explanation:
2.6(d + 1.4) - 2.3d = 4
2.6d + 3.64 - 2.3d = 4
0.3d + 3.64 = 4
0.3d = 0.36
d = 1.2
A trapezoid was broken into a triangle and rectangle. The base of the triangle b is ______cm.
A hemisphere has a diameter of 48 inches. What is the volume of the
hemisphere? Use 3.14 for and round to the nearest tenth.
Answer:
9,216π or 28,938.2 meters³
Step-by-step explanation:
Given: diameter 48 inches
Radius 24 inches
Note:
Volume of hemisphere = volume of sphere / 2
Volume of hemisphere = 1/2 • 4/3 • πr³
= 1/2• 4/3×π×24³
= 1/2•18432π
= 9,216π
= 28,938.2 meters³
1. f(x)=0.5x-1.5x +1I 4x<-1-1sx53 x>3
Answer:
sorry dont know
Step-by-step explanation:
good luck tho
\
f(x) = 0.5x-1.5x+1
4x<-1
-1 ≤ x ≤ 3
x < 3
how do you do pythagorean
Answer:
a²+b²=c²
Step-by-step explanation:
a and b are the short legs of the triangle and c is the long edge (the hypotenuse). so if you take leg a and square it, then add it to leg b and square it then you will get the length of the hypotenuse
Zugo delivers muffins for the Pastry-and-Muffin company. Each muffin is packed in its own
little box. An individual muffin box has the shape of a cube, measuring three inches on
each side. Zugo packs the individual muffin boxes into a larger box. The larger box is also
in the shape of a cube, measuring two feet on each side. How many of the individual
muffin boxes can fit into the larger box?
Answer:
512
Step-by-step explanation:
You can figure this a couple of ways.
1) Figure the number of muffin boxes that goes into each dimension of the larger box:
(2 ft)/(3 in) = (24 in)/(3 in) = 8 . . . . muffin boxes in each direction.
Then the total number of muffin boxes that will fit in a larger box is ...
8×8×8 = 512
512 muffin boxes can fit into the larger box.
__
2) The volume of a muffin box in cubic feet is ...
((3 in)/(12 in/ft))^3 = (1/4 ft)^3 = 1/64 ft^3
The volume of a larger box in cubic feet is ...
(2 ft)^3 = 8 ft^3
Then the number of smaller boxes that will fit in the larger box is ...
(8 ft^3)/(1/64 ft^3) = 8×64 = 512
512 muffin boxes can fit into the larger box.
A certain circle can be represented by the following equation. x^2+y^2+8x-16y+31=0x 2 +y 2 +8x−16y+31=0x, squared, plus, y, squared, plus, 8, x, minus, 16, y, plus, 31, equals, 0 What is the center of this circle ? ((left parenthesis ,,comma ))right parenthesis What is the radius of this circle ? units
Answer:
center = [tex](-4,8)[/tex]
Radius = 7 units
Step-by-step explanation:
Given: Equation of circle is [tex]x^2+y^2+8x-16y+31=0[/tex]
To find: Radius and center of the circle
Solution:
Equation of circle is [tex](x-a)^2+(y-b)^2=r^2[/tex]
Here, [tex](a,b)[/tex] is the center and r is the radius.
[tex]x^2+y^2+8x-16y+31=0\\\left [ x^2+2(4)x+4^2 \right ]+\left [ y^2-2(8)y+8^2 \right ]+31=4^2+8^2[/tex]
Use formula [tex](u+v)^2=u^2+v^2+2uv[/tex]
[tex](x+4)^2+(y-8)^2=16+64-31\\(x+4)^2+(y-8)^2=49=7^2[/tex]
On comparing this equation with equation of circle,
center = [tex](-4,8)[/tex]
Radius = 7 units
Answer:
center: (4,-4)
Radius: 9
Step-by-step explanation:
KHAN ACADEMY
please answer my question −4y−4+(−3)
Answer:
-4y - 7
Step-by-step explanation:
−4y−4+(−3)
Combine like terms
-4y - 7
Answer:
5
Step-by-step explanation:
y= 4+ 4 - 3
What is 8000000000x183838484747474747474747474
Answer:
1.47070788E36
Step-by-step explanation:
a boys buys 9 apples for Rs 9.60 and sells them at 11 for rs 12 find his gain or loss percent
Calculate (full working out)
5.16 x 2.93 =
what is the domain and range of this graph?
Answer:
Domain- {-2,2}
Range-{-3,2}
Step-by-step explanation:
Find each boundary of the line and make the corresponding points because its a continuous line.
(x - 3)2
k.
+ 2x - 4 for x = 5
Answer:
4k + 6
Step-by-step explanation:
A chocolate factory made 708.6 pounds of dark chocolate in 6 days. How much dark chocolate, on average, did the factory make per day?
A) 116.76
B) 117.66
C) 118.10
D) 118.43
Answer: it’s answer C.
Step-by-step explanation: 708.6 ÷ 6 = 118.1(0)
Answer:
c
Step-by-step explanation:
The number of cameras produces since May at a plant can be modeled by the function N(m)=50m+600 and the cost per camera can be modeled by C(m)=4m^2-15m+45, where m is the number of months since May. According to this model, what is the total amount of revenue generated by the plant's camera production on September?
Answer:
39200
Step-by-step explanation:
Revenue = number of cameras * cost
R(m) = N(m) * C(m)
= (50m+600) * (4m^2-15m+45)
The months since may is June July August September = 4 months
R(4) = (50*4+600) * (4*4^2-15*4+45)
(200+600) * (64-60+45)
800*49
39200
Answer:
39,200
Step-by-step explanation:
September is 4 months after may, so m = 4
No. of cameras:
N(4)=50(4)+600 = 800
Cost per camera:
C(4)=4(4²)-15(4)+45 = 49
Total cost:
N × C
800 × 49
39200
how many times does 6 go into 29
Answer:
4 times
Step-by-step explanation:
Answer:
4.8333333 or 4 5/6 times
Step-by-step explanation:
29/6 = 4.83333333
Enunciado: Traza la gráfica de la función. Traza también la gráfica de la asíntota, si es distinta al eje de x o al eje y. Define el Rango y el Dominio. h(x)=log(1/3) x
Answer:
The given function is
[tex]h(x)=log_{\frac{1}{3} } (x)[/tex]
It's important to know that logarithms are the opposite function to exponentials, which means their domains and ranges are defined the opposite way.
The domain of logarithms is restricted, because negative numbers or the zero is not allowed in their domains. So, the domain of this function is: [tex]D:(0, infinite][/tex]
On the other hand, its range is not restricted, so it's defined: [tex]R: (infinite, -infinite)[/tex]
The image shows the graph of this function, there you can observe its domain and range set definitions.
Brenda and Jasmine are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of double chocolate cookie dough. Brenda sold 6 packages of chocolate chip cookie dough and 4 packages of double chocolate cookie dough for a total of $86. Jasmine sold 3 packages of chocolate chip cookie dough and 5 packages of double chocolate cookie dough for a total of $85. What is the cost each of one package of chocolate chip cookie dough and one package of double chocolate cookie dough?
Answer:
one package = $5. / double package= $14
Step-by-step explanation:
Lets say x is a package and y a double package
6x + 4y = $86
2(3x + 5y = $85)
6x + 10y = $170
-6x -4y. -86
6y = $ 84
÷6. ÷6
y= $14
6x +4y = $86
6x + 4($14) = $86
6x + $56 = $86
-56. -56
6x = $30
÷6. ÷6
x = $5
Answer:
chocolate chip = 5
double chocolate chip=14
Step-by-step explanation:
c = chocolate chip
d = double chocolate chip
Brenda
6c+4d = 86
Jasmine
3c+ 5d = 85
Multiply the second equation by -2
-6c -10d = -170
Add this to the first equation
-6c -10d = -170
6c+4d = 86
--------------------
- 6d = -84
Divide by -6
-6d /-6 = -84/-6
d =14
Now we can find c
3c+ 5d = 85
3c+5*14 = 85
3c +70 = 85
Subtract 70
3c = 85-70
3c = 15
Divide by 3
3c/3 = 15/3
c = 5
What is the difference between a rectangular prism and a triangular prism?
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
A rectangular prism has two bases, while a triangular prism has one base,
A triangular prism has two bases, while a rectangular prism has one base.
A rectangular prism has two bases and three faces, while a triangular prism has two bases and four faces.
Dintro
Done
Answer:
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
Step-by-step explanation:
Any prism has two bases. Since we are talking about a rectangular prism and a triangular prism both must have two bases.
For example, a square prism has two bases and they are both square.
In this case a rectangular prism has two bases that are rectangles and a triangular prism also has two bases and both bases are triangles.
Note: For the figure to have only one base it must be called a pyramid.
Thus, the answer is:
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles
Answer:
a
Step-by-step explanation:
helpppppp pros only helppppppp me plzzzzzzzzzzz ill reporte you if you do bad qweshtones
Answer:
We are looking for 2 numbers that have a product of 72 and a sum of 17. These 2 numbers are 9 and 8. Therefore, the factored version would be (z + 9)(z + 8), or A.
Hope this helps!
