Answer:it took him 8 minutes on the return trip, for a round-trip time of 32 minutes. his average speed was (8mi/32min) (60min/hr)=15 mph for the whole trip
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 %
What’s the simplified principal square root of -36
Answer:
6
Step-by-step explanation:
because 36 is a perfect square root.
Find the mean of 9.63, 9.75, 9.79, 9.80, 9.88, 9.94, 9.98, 11.99
Answer:
10.10
Step-by-step explanation:
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.
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
Selecting which seven players will be in the batting order on a 11 person team.
A) Permutation
B) Combination
C) Circular permutation
Answer:
a:) combination
b:) permutation
c:) combination
Step-by-step explanation:
There are 330 ways the coach can select a batting order of seven players from an 11 person team. Therefore, option B is the correct answer.
What is a combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
To determine the number of ways the coach can select a batting order of seven players from an 11 person team, we can use the combination formula, which is given by:
nCr = n! / r!(n-r)!
where n is the total number of players on the team, and r is the number of players in the batting order. In this case, n = 11 and r = 7.
So, the number of ways the coach can select a batting order of seven players from an 11 person team can be calculated as follows:
11C₇ = 11! / (7!(11-7)!)
= (11 x 10 x 9 x 8) / (4 x 3 x 2 x 1)
= 330
Therefore, option B is the correct answer.
To learn more about combination here:
brainly.com/question/17196495.
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Colleen has a prepaid phone card with $40 on it. It costs her $0.25 for each minute she spends on the phone. How much money will be left on the card if she speaks for 60 minutes?
Answer:she will have $25 left .
Step-by-step explanation:
0.25(60) = 15
$40 - $15 = $ 25
musa age is twothird of abus age if the sum lf their ages equals to 30 what is abu age
Answer:
the answer is 10 i think
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
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.
The three squares that will form a right triangle are ...?
Answer:
Three squares that form right triangle:
A, E and C
Step-by-step explanation:
Area of E = 1^2 = 1
Area of A = 2.4^2 = 5.76
Area of C = 2.6^2 = 6.76
Area A + Area E = Area C
Rewrite the function by completing the square. f(x)=x^{2}+16x-46
x^2 + 16 - 46 = x^2 + 16 + 8^2 - 46 - 8^2 = (x + 8)^2 - 110
Answer:
[tex]f(x)=(x+8)^{2}-110[/tex]
Step-by-step explanation:
[tex]f(x)=x^{2}+16x-46 \\=x^{2}+2\times 8\times x-46 \\=x^{2}+16x+8^2-8^2-46 \\=(x+8)^{2}-64-46\\f(x)=(x+8)^{2}-110[/tex]
A family fair went to the fair and paid $24 for 2 adult tickets and 2 youth tickets. A youth ticket is half the price of an adult ticket. How much did a youth ticket cost?
Answer:
Youth tickets = $4
Step-by-step explanation:
Let x and y represent the price of adults and youth tickets respectively;
Given;
A youth ticket is half the price of an adult ticket
y = 0.5x ......1
They paid $24 for 2 adult tickets and 2 youth tickets.
2y + 2x = 24 ......2
Substituting equation 1 into 2;
2(0.5x) + 2x = 24
x + 2x = 24
3x = 25
x = 24/3 = 8
Since, y = 0.5x
y = 0.5(8) = 4
Adult tickets = $8
Youth tickets = $4
Please find the surface area of the sphere. Round your answer to the nearest hundredth.
Surface area = [tex]\frac{4}{3} \pi r^{3}[/tex] = [tex]\frac{4}{3}[/tex] x 3.14 x 3 x 3 x 3 = 3.14 x 4 x 3 x 3 = 113.04 yd^2 = approx. 113.1 yd^2
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
A rectangular swimming pool is 15 meters long, 10 1⁄2 meters wide, and 2 1⁄2 meters deep. What is its volume?
Answer:
393.75 m^3
Step-by-step explanation:
to find the volume, u need to multiply the length by the width by the height . when u multiply the 3 numbers u will get 393.75 m^3
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
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:
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! :)
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 cylinder has a radius of 2 meters and a height of 10 meters. What is the volume of the cylinder? Cylinder V = Bh 1. Write the formula replacing B with the formula for the area of a circle: 2. Substitute the actual measures for the variables: 3. Evaluate the power: V = πr2h V = π(22)(10) V = π(4)(10) 4. Simplify: V = π m3
Answer:
125.6 cubic meters
Step-by-step explanation:
To calculate the volume of the cylinder, we will do it as follows:
Vc = Base area * Height
We know that the base of the cylinder is a circle, therefore:
Base area: pi * r ^ 2
replacing we have:
Vc = pi * (r ^ 2) * h
We have r = 2 and h = 10, we replace:
Vc = pi * (2 ^ 2) * 10
Vc = 40 * pi
pi = 3.14
Vc = 40 * 3.14
Vc = 125.6
Which means that the volume of the cylinder is 125.6 cubic meters
Answer:
It is 40
Step-by-step explanation:
I filled it in the blank and I got it correct edge 2020!
hope this helps :)
What is 8000000000x183838484747474747474747474
Answer:
1.47070788E36
Step-by-step explanation:
(x - 3)2
k.
+ 2x - 4 for x = 5
Answer:
4k + 6
Step-by-step explanation:
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.
Which equation is true for x= -6 and x=2
Answer:
What are you options
Step-by-step explanation:
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
A cylinder and a cone are shown below. A cylinder with height 12 inches and volume 2,512 inches cubed. A cone with height 12 inches and volume 1,256 inches cubed. Which explains whether the bases of the cylinder and the cone have the same area? The bases have the same area because the heights are the same. The bases have the same area because the volume of the cone is One-half the volume of the cylinder. The bases do not have the same area because the volumes are not the same. The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
Answer:
It should be d, The bases do not have the same area because the volumes are not the same.
Step-by-step explanation:
did it on the unit review test
The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
How to find the volume of a cone?The volume of a cone is given by the formula:
A = πr²h/3
How to find the volume of a cylinder?The volume of a cylinder is given by the formula:
A = πr²h
It is given that the height of both the cylinder and the cone is the same.
This means that the only way variable that influences the volume is the radius of the base.
The volume of the cylinder is three times the volume of the cone when the radius and height are equal.
But the volume of the cylinder is two times the volume of the cone in the given question.
This means that they have different radii which means that the bases are different.
Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.
Learn more about cylinders and cones here: https://brainly.com/question/331787
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What value of x makes the
equation frue?
113 - X = 98
Answer:
15
Step-by-step explanation:
you have to take 98 away from 113.
Answer:
X= 15
Step-by-step explanation:
A trapezoid was broken into a triangle and rectangle. The base of the triangle b is ______cm.
find the approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches
Answer:
The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866
Step-by-step explanation:
The complete question is presented in the attached image to this answer.
It is stated that the distribution of tree diameters is approximately normal, hence, this is a normal distribution problem with
Mean diameter = μ = 8 inches
Standard deviation = σ = 2.5 inches
The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = P(x < 5.5)
To solve this, we first normalize or standardize 5.5 inches
The standardized score for 45mg/L is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (5.5 - 8)/2.5 = - 1.00
The required probability
P(x < 5.5) = P(z < -1.00)
We'll use data from the normal probability table for these probabilities
P(x < 5.5) = P(z < -1.00) = 0.15866
Hope this Helps!!!
