Answer:
A) 0.10565
B) 0.33846
C)
Step-by-step explanation:
The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes.
Note that, all units must be in minutes
We solve this question using z score formula
= z = (x-μ)/σ
where
x is the raw score
μ is the population mean = 2 hours
Converting to minutes
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Mean = 120 minutes
σ is the population standard deviation = 12 minutes
Over many past trips, what proportion (area) of times has the ferry reaches the island in
A) less than 1 hour, 45 minutes?
Converting 1 hour 45 minutes to minutes
60 minutes = 1 hour
Hence:
60 + 45 minutes = 105 minutes
For x < 105 minutes
= 105 - 120/12
= -1.25
Probability value from Z-Table:
P(x<105) = 0.10565
B) more than 2 hours, 5 minutes?
Converting 2 hours 5 minutes to minutes
Hence:
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 5 minutes = 125 minutes
For x < 125 minutes
z = 125 - 120/12
z = 0.41667
Probability value from Z-Table:
P(x<125) = 0.66154
P(x>125) = 1 - P(x<125) = 0.33846
C) between 1 hour, 50 minutes and 2 hours, 20 minutes?
Converting 1 hour, 50 minutes to minutes
= 60 minutes = 1 hour
Hence:
60 + 50 minutes = 110 minutes
For x = 110 minutes
= 110 - 120/12
= -0.83333
Probability value from Z-Table:
P(x = 110) = 0.20233
Converting 2 hours, 20 minutes to minutes
= 1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 20 minutes = 140 minutes
For x = 140minutes
z = 140 - 120/12
= 1.66667
Probability value from Z-Table:
P(x = 140) = 0.95221
Giving brainliest!!!! Asap
Answer:
B
Step-by-step explanation:
y=8x
y=8(2)
y=16
y=8(4)
y=32
Answer:
B
Step-by-step explanation:
cross multiply
24 • 4 =?
? ÷ 3 = 32
Which ratio is the same as 2/3?
Answer:
6:15 6 to 15 it's the same o
Jin is training for the 50 meter dash. Each day that he trains, he runs the dash six times. Last week, he trained for four days. This week, he trained for five days. In two weeks, how far has Jin run? In killometers
Answer:
1 1/2 kilometers
Step-by-step explanation:
If he runs 3000 meters every day and then trains for 5 days that means he ran 1 1/2 kilometers
How many groups of 1/4 are in 3?”
Answer: 12
Step-by-step explanation:
Nancy's cell phone company automatically deducts $30 from her bank
account every month to pay her bill.
Nancy does not add money to her bank account. What is the change in
Nancy's bank account after 6 months?
Answer:
5
Step-by-step explanation:
30/6=5
FAST ILL MARK U BRAINLIEST Write an equation of the line that passes through (2, −1) and is parallel to the line 2y + 3x = 8 . Write your answer in slope intercept form.
Answer:
y=[tex]-\frac{3}{2}[/tex]+2
Step-by-step explanation:
for an equation to be parallel with another both should have the same rate of change(m).
the line given to us is in general form, and we can change it to slope-intercept form to get the slope. (y=mx+b)
Isolate for y:
2y+3x=8
2y=-3x+8
y=-3/2x+8/2
y=-3/2x+4
thus the slope of the line we are trying to find must also equal -3/2
use point slope form to find the equation (substitute (2, -1) into equation)
y-y1=m(x-x1)
y-(-1)=(-3/2)(x-2)
y+1=[tex]-\frac{3}{2}[/tex]x+3
y=[tex]-\frac{3}{2}[/tex]+2
The half-life of a radioactive kind of iodine is 60 days. How much will be left after 240 days, if you start with 480 grams of it?
Answer:
30 grams
Step-by-step explanation:
half life is 60 days so every 60 days the amount 480 grams will be half
in 240 days will decay 240 /60 = 4 times
once 480 /2 = 240
twice 240 /2 = 120
trice 120 / 2 = 60
four times 60/2 = 30 grams will be left
Thursday night, Larry goes to the local game shop. He purchases three new video games for $15.99 each. If the sales tax is 4.5%, how much does he spend?
Answer:
15.99 X 3 = 47.97
47.97/100 X 104.5 = 50.12865
$50.13
which equation matches this graph?
Answer: I'm pretty sure it's the second one.
Step-by-step explanation:
Sorry if it's not right I tried my best.
Use the information given to write an equation in standard form.
Slope is -3, and (0, -4) is on the line.
what is m∠2 if m∠6 = 120°?
Answer:
I love ur pfp
Step-by-step explanation:
ANSWER: m∠2 = 120°, m∠3 = 60°; Sample answer: ∠1 and ∠2 are alternate exterior angles, so they have the same measure. ∠2 and ∠3 are supplementary. So, m∠3 = 180° – 120° or 60°.
Joel has a prepaid phone card that charges $0.50 to connect and $0.50 per minute. He also can use a cell phone that charges $2.50 to connect and $0.25 per minute. In how many minutes will calls made using the phone card and the cell phone cost the same?
Answer:12 minutes
Hope this is right sorry if not <3
i need help please.
Answer: 2/5 or 0.4
Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
QUICK PLZ!!! Use the number line below, where RS = 6y + 3, ST = 4y + 7, and RT = 60.
Step-by-step explanation:
[Diagram in image attached]
RS + ST = RT
(6y +3) + (4y + 7) = 60
6y + 3 + 4y + 7 = 60
10y + 10 = 60
10y = 60 - 10
10y = 50
y = 50/10
y = 5
RS = 6y +3 = 6(5) + 3 = 30 + 3 = 33
ST = 4y +7 = 4(5) + 7 = 20 + 7 = 27
RT = 60
{RS + ST = RT
33 + 27 = 60}
HOPE THIS HELPS YOU
MARK AS BRAINLIEST
i need help this too help me and thank you and thank you
Answer:
Linear
Step-by-step explanation:
Don't worry I just know, give me Brainliest
Which expression is equivalent to 3(m+ 2) − 4(2m− 9) HELP ASAP
please please please help
Answer:
See below.
Step-by-step explanation:
Slope of parallel line is -3/2.
Slope of perpendicular line is 2/3
Help quick pls
I need nine and eight
Answer:
8. y=2x+6
9. y=1/2x-5
Step-by-step explanation:
Use point slope form to figure out the y intercept. Because it needs to be parallel, the same slope will be used to solve for point slope form.
3n - 2n- 6h + 9
Pls help ASAP
Answer:
n-6h+9
first you subtract the ns from each other because those are the only like terms
???????????????i didn’t learn this what’s the answer ?
Answer:
24 inches squared
Step-by-step explanation:
That is a triangle, and the area of a triangle is 1/2(b)(h), which is one half times the base times the height. Let's identify those things.
1/2: the area of a rectangle can be calculated base times the height, and a triangle is half of that rectangle, hence the 1/2
(b) or base: base is usually identified as the horizontal line in the triangle, which is 6 inches in this case.
(h) or height: height is usually the vertical line, and in this case, the vertical line is 8 inches.
Now time for the math:
1/2(6)(8) = 24 inches squared
Which expression results in a rational number
Given
A=√12
B= 4√3
c=√49
D=√100
(1) A+B
(2) B+C
(3) D+A
(4) C+D
Answer:
C and D give rational numbers, as the square root of 49 is ±7 and the square root of 100 is ±10.
Help! Need answers fast!
giving 20 points!
Find the product of ( 2x^2 − 4x + 3 ) ( 3x + 6 ) using the box method shown below. What will the monomial be in the box marked with a B?
Select one:
a. - 12x 2
b. - x 2
c. - x
d. - 12x
Answer:
It should be A. -12^2
Step-by-step explanation:
Looking at the box B, you have to multiple 3x and -4x. 3 * -4 is -12 and the two x's become squared. Making your answer -12x^2
Select the equation that is true.
25 ÷ 5 = 30 ÷ 6
49 ÷ 7 = 20 ÷ 4
36 ÷ 6 = 21 ÷ 7
12 ÷ 2 = 15 ÷ 5
Answer:
The first one
Step-by-step explanation:
Answer:
25 ÷ 5 = 30 ÷ 6
Step-by-step explanation:
25 ÷ 5 = 30 ÷ 6
5=5
Hope this helps!
Please mark me brainliest if you can. :)
Which function is shown in the graph?
Answer:
[tex]f(x)=log_5 x[/tex]
Step-by-step explanation:
The answer is clear once you graph it. You can use a graphical calculator or the online graphing calculator Desmos.
1. Water vapor given off by water, plants, and animals is called ?
A. evaporation
B. precipitation
C. condensation
D. runoff
Answer:
evaportation
Step-by-step explanation:
The vapor given off by water, plants, and animals is called evaporation.
What is evaporation?Evaporation is a type of vaporization that occurs on the surface of a liquid as it changes into the gas phase. High concentration of the evaporating substance in the surrounding gas significantly slows down evaporation, such as when humidity affects rate of evaporation of water.Given is to find what does the water vapor given off by water, plants, and animals is called.
Evaporation is defined as the conversion of water into water vapour (into gas phase) and its release into the atmosphere. Similarly, the Water vapor given off by water, plants, and animals is called evaporation.
Therefore, the vapor given off by water, plants, and animals is called evaporation.
To solve more questions on evaporation, visit the link below -
https://brainly.com/question/320765
#SPJ2
Howe Moving Company has a loading ramp for their moving truck. The ramp connects to the truck 5 feet above the ground, and the length of the ramp from the truck to the ground is 13 feet long. What is the distance along the ground from the truck to the end of the ramp?
Answer:
12 feet
Step-by-step explanation:
Given that,
The ramp connects to the truck 5 feet above the ground, and the length of the ramp from the truck to the ground is 13 feet long.
Now we need to find the distance along the ground from the truck to the end of the ramp.
Here,
5 feet will be perpendicular distance, 13 feet will be hypotenuse and we need to find the base.
Using Pythagoras therorem to find it :
[tex]b=\sqrt{13^2-5^2} \\\\=12\ \text{feet}[/tex]
So, the required distance is 12 feet.
Answer:
12 feet!!
Step-by-step explanation:
guy above me is right
1 - 2k + 5k <_ -4 + 3k
Answer:
No solution.
Step-by-step explanation:
1-2k+5k<-4+3k Combine like terms on each side wherever you can.
1+3k<-4+3k Subtract -3k on both sides (it's less confusing when you get
-3k -3k rid of the variable first).
1<-4 1 is not less than or equal to -4, so there is no solution.
I hope this helped you out!! Have a great day (*^3^)╭
While on vacation in Rockport, Shawn went out for a dinner that
cost $50. If sales tax in Rockport is 6% and Shawn left an 18% tip on $50, what was the total cost of his meal?
62 dollars hope this helps
Any Simple way to learn mathematics formula ?
Answer:
I'll be honest if you don't understand your teacher just try looking it up on yt. Or like Kahn Academy. And if neither of that works just ask here, or maybe some older friends or siblings.
WEEEEEEEEEEEEEEEEEEEEEEE
Answer:
4/x^6
Step-by-step explanation:
8x^3/2x^9
so first reduce the fraction with 2 .
then simplify
4/x^6