Answer:
0.5
0.9545
0.68268
0.4986501
Step-by-step explanation:
The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.
a. less than $1.55?
b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?
Given that :
Mean (m) = 1.55
Standard deviation (s) = 0.20
a. less than $1.55?
P(x < 1.55)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.55 - 1.55) / 0.20 = 0
p(Z < 0) = 0.5 ( Z probability calculator)
b. between $1.15 and $1.95?
P(x < 1.15)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.15 - 1.55) / 0.20 = - 2
p(Z < - 2) = 0.02275 ( Z probability calculator)
P(x < 1.95)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.95 - 1.55) / 0.20 = 2
p(Z < - 2) = 0.97725 ( Z probability calculator)
0.97725 - 0.02275 = 0.9545
c. between $1.35 and $1.75?
P(x < 1.35)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.35 - 1.55) / 0.20 = - 1
p(Z < - 2) = 0.15866 ( Z probability calculator)
P(x < 1.75)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.75 - 1.55) / 0.20 = 1
p(Z < - 2) = 0.84134 ( Z probability calculator)
0.84134 - 0.15866 = 0.68268
d. between $0.95 and $1.55?
P(x < 0.95)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (0.95 - 1.55) / 0.20 = - 3
p(Z < - 3) = 0.0013499 ( Z probability calculator)
P(x < 1.55)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.55 - 1.55) / 0.20 = 0
p(Z < 0) = 0.5 ( Z probability calculator)
0.5 - 0.0013499 = 0.4986501
Lourdes recorded in this table the change in her dog's weight, in ounces, each month. Which statement can be suppor by the data in the table? Change in Dog's Weight January February March April May +6 +4 -2 +1 -5
A) Lourdes dog gained weight in more months than it lost weight because there are more positive numbers than ne numbers.
B) Lourdes' dog lost weight in more months that it gained weight because the digit 5 is the greatest digit and it is a ne number.
C) Lourdes dog gained weight every month because it is getting older.
D) Lourdes dog lost weight every month because the change in May is a negative number.
Answer:
A). Lourdes dog gained weight in more months than it lost weight because there are more positive numbers then negative numbers
carly mowed 2 more lawns than Roco each week for 6 weeks. carly mowed a total of 18 lawns. how many did Rocco mow each week?
Answer:
Rocco mowed 1 lawn a week.
Step-by-step explanation:
If Carly mowed 18 lawns in six weeks that’s 3 lawns a week and 3-2=1.
Thus Rocco mowed 1 lawn a week.
the questions on a multiple-choice test each have 4 answer choices. Describe a model that you could use to simulate the outcome of guessing the correct answer to a 100 questioned test
Answer:
2
Step-by-step explanation: because u have to divide the 4 100 than the ratio 25% it would give u 2
When multiplying, the answer is negative when you:
A: multiply a positive (+) times a negative (-)
B: multiply a negative (-) times a negative (-)
C: multiply a positive (+) times a positive (+)
Step-by-step explanation:
b: multiplying a negative (-) by a negative (-)
Dan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£
Richard:
£
Nick:
£
Answer:
dan 14 Richard 42 nick 14
4t + 2u
w;t= 2 and u= 1
15
Step-by-step explanation:
4t + 2u²- u³
4×2=8
2×1=2²=8
1³=1
8+8-1
16-1=15
What is the distance between (–2 and one-half, –3) and (1, –3)?
–3 and one-half units
–1 and one-half units
1 and one-half units
3 and one-half units
Answer:
3 and 1/2 units
Answer:
3 and 1/2 units
Step-by-step explanation:
hope this helps you lol
E
Solve the equation. 4(x + 5) - 4 = 4
Answer: How to solve your question
Your question is
4
(
+
5
)
−
4
=
4
4(x+5)-4=4
4(x+5)−4=4
Solve
1
Distribute
4
(
+
5
)
−
4
=
4
{\color{#c92786}{4(x+5)}}-4=4
4(x+5)−4=4
4
+
2
0
−
4
=
4
{\color{#c92786}{4x+20}}-4=4
4x+20−4=4
2
Subtract the numbers
3
Subtract
1
6
16
16
from both sides of the equation
4. Simplify
5. Divide both sides of the equation by the same term
6. Simplify
Solution
=
−
3
Step-by-step explanation: I got this from a website but i hope this helps!!!!
2. The sum of two numbers is 67 and their difference is 3. Find the two numbers.
Answer:
35 and 32
Step-by-step explanation:
35 and 32
because when we add 35 and 32 then their sum is 67
when we subtract 35 and 32 then their difference is 3
I hope u understand it
multiple of 2 and 5 which is 2 more than the third multiple of 6
Plz with steps..
Answer:
20
Step-by-step explanation:
the third multiple of 6 is 18
20 = 2+18
and it's also a multiple of 2 and 5
Answer:
5x2 -2
Step-by-step explanation:
when you times 2 and 5 it gives you ten when you minus it by 2 you get eight so six plus two equal to eight so that is your answer my friend
Robert bough 3/4 pound of grapes and divided them into 6 equal portions.
What is the weight of each portion?
*
Answer: The answer should be 0.125
Step-by-step explanation:
Aaron spent $35 to buy some new baseball
cards. Each pack of cards cost the same whole
dollar amount. How many packs of cards
could he have bought?
Answer:
He can buy 7 packs or 5 packs it depends on how each costs seperately.
Step-by-step explanation:
If each pack costs 5 dollars then he can buy 7.
If each pack costs 7 dollars then he can buy 5.
A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of
water, and after one hour ( t=1) , it holds 180 gallon of water.
Answer:
What is the question?
Step-by-step explanation:
Answer: The initial value is 150 and the rate of change is 30
150+30x=y
Where did the 45% come from. It states 55% in question
Answer:
is this a question......
Find the value of x. Everything is in the photo.
Answer:
27
Step-by-step explanation:
Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.
Finding angles of the triangle:
<WYX = <XYZ - <WYZ = 180 - 4x
<XWY = <XWV - <VWY = 180 - 6x
Using the sum of angles in a triangle and substituting these values in:
180 = <X + <WYX + <XWY = 90 + (180 - 4x) + (180-6x) = 450 - 10x
270 = 10x
27 = x
We are done! I hope this helps! :)
please fast tell me
Answer:
1). Option (b)
2). Option (d)
3). Option (d)
Step-by-step explanation:
Question (1)
For Pythagoras triplet,
(Largest number)² = (Number 1)² + (Number 2)²
a). 5² = 5² + 2²
25 = 25 + 4
25 = 29
Not True.
b). 5² = 3² + 4²
25 = 9 + 16
25 = 25
True.
c). 10² = 1² + 5²
100 = 1 + 25
100 = 26
Not true.
d). 2² = 2²+ 2²
4 = 4 + 4
4 = 8
Not true.
Therefore, Option (b) is correct.
Question (2)
1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{5}{5}-\frac{1}{5}[/tex]
= [tex]\frac{5-1}{5}[/tex]
= [tex]\frac{4}{5}[/tex]
Therefore, Option (d) is the answer.
Question (3)
Property of triangle → Sum of lengths of two sides of a triangle should be greater than the measure of third side.
a). 6 + 3 > 2 ⇒ 9 > 2 [True]
6 + 2 > 3 ⇒ 8 > 3 [True]
2 + 3 > 6 ⇒ 5 > 6 [False]
Triangle is not possible.
b). 2 + 8 > 3 → 10 > 3 [True]
8 + 3 > 2 → 11 > 2 [True]
2 + 3 > 8 → 5 > 8 [False]
Triangle is not possible.
c). 5.5 + 2.5 > 2.5 → 8 > 2.5 [True]
5.5 + 2.5 > 2.5 → 8 > 2.5 [True]
2.5 + 2.5 > 5.5 → 5 > 5.5 [False]
Triangle is not possible.
d). 3 + 6 > 7 → 9 > 7 [True]
3 + 7 > 6 → 10 > 6 [True]
7 + 6 > 3 → 13 > 3 [True]
These are the sides of a triangle.
Therefore, Option D is the answer.
••••••••••••••••••••••••••••••
Answer:
D. 7
Step-by-step explanation:
substitute -1 everywhere there is an x
5-2(-1) multiply
5-(-2) add
7
What is the greatest common factor of 49, 62 and 80? OA) 1 OE) 2 OC) 3 OD) 5
Answer: A (1)
Step-by-step explanation:
The way to find a common factor is by dividing the given numbers by the largest possible multiple that still gives you a whole number
A
49/1=49
62/1=62
80/1=80
This is an option
B
49/2=24.5
62/2=31
80/2=40
This is not an option, 24.5 is not a whole number
C
40/3=16.333(repeating)
This is not an option, you are not given a whole number
D
49/4=12.25
This is also not an option, 12.25 is not a whole number
Answer
Our only possible answer is A-1
PLZ HELP WILL GIVE BRAINLIEST
the answer is c
Step-by-step explanation:
it is because you have to times 3 and 4 and 3 and 9
Answer:
The answer is 27/ 12x - 9 = 28
Step-by-step explanation:
All you have to do is multiply 3 X 4x and gives you 12x and multiply 3 X 9 and gives you 27.
3 ( 4x - 9 ) = 28 = 12x - 27 = 28
Hope this helped.
♡(ŐωŐ人)
Give the domain and range.
a. domain: {-2, 0, 2), range: {4, 6, 8}
b. domain: {0, 2), range: {6, 8}
c. domain: {4, 6, 8), range: (-2, 0, 2}
d. domain: {6, 8), range: {0, 2}
Answer:
a no is correct answer of the question
4. The perimeters of the rectangle and the triangle below are equal. Find the value of x.
Answer:
x=6
Step-by-step explanation:
the perimeter of the rectangle is equal to 2x + 16.
the perimeter of the triangle is equal to 3x + 10.
since they are equal now you can solve by saying 2x + 16 = 3x + 10
Now you solve for x
2x + 16 = 3x + 10
2x + 6 = 3x
6 = x
WILL GIVE BRAINLIEST PLS HELP!!!!! - Which expression represents a cube root of –8?
Answer:
A
Step-by-step explanation:
Answer:
C or 2(cos(pi/3)+i sin (pi/3))
A rectangular based prism has a length of
23cm, a width of 28cm, and a height of 11m.
Find its volume.
Answer:
7,084 cm^3
Step-by-step explanation:
To calculate volume you have to take all three measurements and multiply them as so: x times y times z. In this case x = 23 y = 28 and z = 11. When you multiply these 3 numbers together you will get 7,048 cm^3.
Answer:
7,084 cubic cm
Step-by-step explanation:
V = 23 x 28 x 11
Expand the following expression by using the distributive method. 6(3b-4c)
wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba
Answer:
wooowooowowowowowowowowow
Step-by-step explanation:
Answer:
epic ninja
Step-by-step explanation:
ninja
If there are 13 pretzels in each cup, How many pretzels does He eat?
Answer:
Step-by-step explanation:
$1,580 at 10% for 8 years
Are the following equations parallel, perpendicular, or neither? y= 3x - 1 and y =
-1/3x + 10 *
Parallel
Perpendicular
Neither
Answer:
Perpendicular
Step-by-step explanation:
16 is what percent of 20?
Answer:
3.2
Step-by-step explanation:
Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time
she trains, she bikes 0.5 mile farther than she did the previous time.
a) Use summation notation to write an arithmetic series to represent the total distance Melissa has biked
after she has trained n times. (2 points)
b) Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What
is the least number of times Melissa must bike for her total distance biked during training to exceed 60
miles? (3 points)
Answer:
55
Step-by-step explanation: